Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 0, 20245, 2069, 543, 1153, 454, 14445, 1049, 3785, 2966, 609, 543, 585, 3506, 454, 933, 2671, 1702, 538, 513, 13730, 1259, 543, 2687, 547, 519, 2115, 540, 3610, 543, 519, 3450, 3292, 585, 16308, 538, 519, 2582, 1153, 649, 616, 3238, 609, 6693, 5978, 3785, 616, 711, 5377, 16365, 267, 855, 2966, 538, 5698, 543, 5348, 1458, 609, 519, 11334, 3238, 267, 7957, 1681, 5872, 609, 3044, 3450, 2238, 269, 769, 713, 1259, 649, 10502, 5581, 519, 3584, 547, 581, 2919, 693, 1153, 267, 6028, 519, 4116, 4055, 585, 5883, 519, 1788, 3584, 593, 741, 1378, 563, 5978, 18747, 2141, 1331, 513, 2866, 2534, 585, 3610, 267, 547, 10802, 741, 1702, 543, 2285, 873, 519, 1983, 543, 2326, 547, 10446, 1020, 3872, 10092, 593, 1585, 3584, 1644, 547, 973, 344, 1782, 563, 5978, 18747, 585, 3506, 1445, 593, 1614, 1292, 3584, 912, 342, 4292, 6604, 543, 4264, 4616, 538, 4948, 1272, 454, 15132, 983, 4346, 543, 2069, 593, 5094, 3653, 4015, 454, 24610, 24600, 543, 630, 516, 264, 19464, 540, 5214, 2339, 454, 2171, 960, 1098, 14287, 609, 519, 1114, 5049, 543, 6502, 540, 519, 10453, 267, 3843, 547, 3970, 519, 2238, 540, 938, 4966, 3330, 519, 4928, 547, 4734, 1713, 968, 3336, 892, 585, 3610, 547, 957, 269, 3776, 3785, 1331, 1312, 2238, 538, 4928, 630, 935, 14846, 3450, 264, 543, 1096, 1304, 531, 2238, 630, 31521, 267, 536, 878, 565, 720, 264, 543, 2238, 538, 519, 11175, 1141, 519, 1153, 568, 4092, 563, 20524, 24600, 693, 1153, 454, 320, 1788, 538, 519, 3119, 1153, 968, 294, 269, 2961, 706, 764, 328, 5608, 7638, 7431, 267, 8668, 454, 3963, 713, 1788, 912, 763, 6859, 543, 3853, 540, 519, 1788, 5645, 856, 1063, 476, 1001, 277, 270, 1001, 278, 616, 912, 268, 1174, 519, 2042, 609, 3653, 818, 529, 902, 454, 268, 1118, 1453, 3222, 540, 519, 2956, 540, 18245, 741, 8378, 3248, 268, 1711, 606, 8076, 543, 30070, 2796, 693, 1153, 3248, 268, 1711, 513, 1184, 540, 5872, 270, 3333, 2130, 849, 609, 3885, 3248, 268, 960, 693, 1153, 538, 606, 15834, 1259, 267, 2810, 5698, 1063, 3610, 454, 2704, 339, 699, 14150, 16136, 1177, 519, 1305, 5346, 540, 519, 3872, 1788, 609, 519, 3610, 267, 5645, 856, 606, 10066, 543, 3355, 2866, 29519, 543, 5340, 1585, 6098, 7459, 609, 543, 538, 519, 5049, 269, 2991, 519, 1101, 1032, 267, 519, 1888, 540, 9764, 4346, 2968, 513, 8628, 851, 540, 519, 3427, 779, 3450, 1982, 543, 1165, 12976, 1788, 616, 2919, 538, 519, 1739, 1296, 10778, 268, 20682, 593, 2357, 6193, 558, 14006, 532, 543, 3037, 8647, 454, 268, 606, 1995, 540, 2870, 513, 10448, 4677, 693, 1153, 454, 763, 1788, 729, 5645, 856, 1063, 476, 1001, 277, 270, 1001, 278, 543, 3238, 782, 5049, 540, 519, 1153, 563, 763, 16671, 3722, 25156, 593, 24600, 585, 3506, 454, 974, 778, 1007, 5481, 875, 547, 2569, 2916, 1689, 543, 922, 2360, 454, 11321, 1723, 26548, 857, 540, 16816, 699, 14150, 568, 519, 1291, 2278, 540, 519, 476, 272, 560, 16671, 3722, 11804, 1504, 2966, 585, 3610, 945, 20053, 547, 6338, 519, 1888, 540, 9657, 1418, 923, 676, 1797, 540, 24600, 538, 3506, 269, 634, 18361, 568, 3370, 538, 14082, 543, 2296, 563, 763, 15015, 729, 7550, 676, 519, 4975, 540, 590, 14244, 6754, 334, 630, 24154, 7588, 264, 607, 851, 540, 519, 4640, 547, 2569, 5214, 3653, 563, 6717, 3722, 568, 519, 8693, 1299, 11162, 5794, 29663, 11036, 540, 519, 2136, 8315, 8116, 602, 8992, 519, 5786, 540, 5682, 6953, 1787, 8566, 1162, 998, 1732, 2359, 540, 5214, 3653, 563, 10673, 342, 2903, 519, 25156, 318, 21545, 30253, 1047, 454, 2704, 339, 699, 14150, 521, 553, 1019, 26548, 857, 631, 269, 1299, 3213, 563, 20003, 552, 623, 4353, 288, 281, 476, 271, 6246, 6021, 274, 29710, 3953, 454, 19617, 3266, 11555, 288, 15283, 1107, 476, 30156, 4097, 279, 0, 8138, 4784, 547, 281, 3883, 3848, 454, 26397, 7392, 281, 6554, 22910, 454, 26397, 20504, 766, 11261, 281, 476, 276, 270, 272, 270, 1960, 276, 454, 26397, 11261, 281, 715, 12458, 454, 20007, 673, 17593, 281, 5004, 2853, 540, 2221, 723, 7960, 936, 1082, 1296, 896, 519, 3310, 540, 3339, 543, 3665, 11811, 3270, 602, 7173, 841, 538, 1114, 2694, 540, 519, 2136, 2276, 269, 634, 1259, 649, 11489, 630, 528, 798, 711, 11489, 264, 19527, 538, 519, 22583, 3148, 5540, 1312, 519, 2179, 540, 4764, 1216, 602, 22467, 6233, 883, 519, 3037, 543, 519, 8244, 540, 1216, 547, 7031, 2429, 519, 3395, 4005, 269, 570, 650, 720, 5540, 519, 2179, 540, 21225, 689, 3105, 7031, 602, 3788, 593, 519, 3037, 2627, 799, 267, 538, 2490, 267, 5540, 2627, 12933, 532, 267, 22467, 1674, 267, 20359, 267, 543, 21381, 269, 5221, 11934, 4268, 538, 1216, 8066, 543, 23142, 4162, 267, 21225, 2359, 2853, 602, 3986, 1216, 1894, 593, 930, 11934, 949, 723, 8801, 2360, 593, 1866, 269, 4475, 267, 19993, 21225, 2359, 2853, 4268, 2066, 519, 3148, 543, 267, 5732, 267, 689, 2361, 547, 2361, 1369, 1507, 2694, 540, 519, 3148, 269, 0, 3725, 23983, 14759, 689, 6986, 547, 6404, 2829, 267, 543, 519, 2189, 2268, 540, 1344, 454, 9558, 845, 725, 689, 6986, 547, 6404, 2829, 616, 2356, 2404, 609, 1344, 2530, 543, 9048, 951, 2225, 269, 3371, 267, 513, 7014, 568, 7152, 3850, 835, 547, 1118, 891, 14759, 31181, 269, 634, 6986, 2829, 616, 29809, 609, 513, 4351, 6846, 2707, 269, 4635, 713, 7014, 835, 666, 1353, 6099, 14759, 1063, 2829, 267, 543, 689, 713, 17589, 519, 2189, 2268, 540, 1344, 269, 901, 568, 3379, 547, 26464, 14759, 1141, 835, 1281, 711, 723, 1569, 547, 6846, 269, 634, 2093, 4843, 1934, 8774, 930, 1769, 593, 8942, 547, 1174, 1303, 836, 2211, 6354, 2827, 543, 519, 17149, 9048, 951, 2225, 11402, 972, 1141, 835, 9060, 602, 6404, 2829, 666, 2270, 9232, 20129, 1303, 836, 2211, 9731, 2467, 616, 1079, 15852, 5961, 540, 1344, 269, 769, 519, 1101, 4605, 267, 513, 2707, 7472, 513, 1804, 2179, 540, 1344, 952, 621, 814, 1804, 23811, 269, 4935, 1344, 666, 581, 2404, 609, 23811, 269, 901, 568, 1317, 519, 17513, 568, 1373, 5483, 1152, 952, 646, 568, 968, 31162, 1440, 2213, 6100, 769, 971, 606, 1935, 519, 1344, 814, 513, 16148, 2495, 281, 1945, 799, 568, 1634, 676, 519, 30699, 267, 855, 568, 711, 1634, 676, 17513, 269, 634, 17513, 13000, 519, 5048, 607, 519, 1344, 267, 952, 1352, 4769, 1406, 917, 621, 563, 3080, 666, 2015, 513, 1114, 1935, 547, 1344, 1107, 606, 6662, 835, 1141, 513, 1062, 4564, 1344, 952, 621, 568, 538, 6986, 1533, 630, 14706, 23811, 1040, 634, 1533, 568, 3294, 519, 1344, 269, 901, 2070, 568, 811, 2067, 538, 519, 2796, 540, 32721, 269, 1703, 267, 9232, 32474, 568, 1379, 892, 538, 519, 2631, 602, 835, 666, 2721, 960, 689, 513, 2582, 3002, 8602, 676, 946, 540, 1949, 538, 1634, 6986, 2829, 590, 7588, 731, 630, 4572, 280, 1040, 2201, 519, 824, 1688, 267, 519, 3002, 8602, 568, 6719, 676, 513, 12366, 958, 1303, 22241, 1533, 267, 8754, 621, 568, 519, 1447, 13181, 835, 269, 634, 6986, 1533, 4564, 1344, 2877, 547, 1931, 519, 1648, 540, 519, 3002, 8602, 563, 2467, 666, 581, 1082, 10457, 585, 3252, 547, 2268, 1344, 269, 1717, 267, 1744, 27553, 6444, 602, 972, 568, 513, 2189, 1599, 602, 8843, 930, 2067, 3601, 547, 4766, 1344, 269, 1744, 27553, 267, 6508, 1010, 2189, 2268, 1759, 593, 519, 16148, 4605, 540, 1344, 269, 4475, 1010, 1344, 1599, 630, 4537, 27553, 23811, 264, 4679, 607, 519, 24980, 540, 519, 5506, 3892, 4679, 269, 634, 1482, 568, 3020, 540, 519, 31633, 540, 1744, 27553, 779, 23811, 547, 519, 7061, 2013, 799, 568, 519, 13153, 3026, 30977, 779, 23811, 4586, 3080, 666, 2015, 513, 2268, 540, 6662, 1344, 267, 602, 814, 519, 598, 2091, 12402, 281, 12077, 1141, 568, 519, 31062, 23811, 540, 519, 1062, 630, 328, 4318, 269, 519, 1062, 814, 2829, 1040, 769, 519, 7061, 2013, 621, 1131, 581, 1547, 6270, 513, 1599, 729, 6923, 14648, 607, 519, 1344, 9115, 540, 519, 1533, 607, 5189, 676, 5696, 650, 537, 514, 563, 3080, 666, 2307, 519, 2243, 281, 666, 713, 1599, 581, 6508, 10446, 540, 519, 10206, 540, 23811, 267, 865, 602, 621, 568, 711, 1175, 513, 12408, 540, 1079, 1634, 2474, 267, 855, 2864, 814, 606, 14628, 2495, 888, 2005, 7140, 856, 602, 972, 568, 971, 513, 7872, 543, 621, 568, 6035, 676, 7061, 1344, 3069, 281, 538, 4676, 269, 9710, 1712, 1188, 328, 1696, 620, 269, 649, 723, 6508, 519, 1599, 607, 519, 2189, 835, 267, 602, 1281, 711, 2333, 896, 930, 1362, 540, 4238, 269, 634, 8404, 3357, 689, 6236, 1344, 607, 513, 4199, 538, 7856, 1949, 302, 653, 523, 8583, 1696, 620, 269, 630, 1220, 273, 1040, 634, 1292, 2832, 540, 519, 1459, 1957, 568, 547, 1459, 519, 2407, 11826, 4528, 540, 602, 8174, 566, 269, 769, 519, 1184, 267, 649, 2285, 513, 7014, 585, 31181, 14759, 1063, 2829, 1210, 513, 4351, 2707, 540, 6846, 269, 1284, 849, 1865, 891, 2164, 538, 519, 2796, 540, 519, 3390, 540, 10941, 2225, 543, 1303, 836, 2211, 3069, 563, 2005, 568, 7061, 1344, 3069, 630, 304, 3951, 264, 602, 2488, 721, 609, 513, 5078, 5133, 547, 4323, 519, 1966, 269, 11569, 267, 835, 540, 519, 3844, 4798, 540, 1627, 3951, 568, 519, 2856, 540, 6099, 13289, 1063, 2829, 896, 513, 11658, 1362, 540, 4238, 269, 901, 24865, 689, 8942, 547, 4766, 1303, 836, 2211, 540, 7061, 2829, 269, 4014, 621, 729, 2352, 547, 2161, 1018, 4010, 1303, 836, 2211, 729, 267, 621, 729, 2312, 602, 621, 1223, 711, 2333, 896, 519, 1362, 540, 4238, 1500, 909, 540, 2199, 4238, 543, 8106, 2792, 630, 26183, 6717, 264, 289, 3317, 9116, 1696, 620, 269, 630, 1960, 277, 320, 267, 536, 1040, 1452, 4238, 1450, 835, 547, 946, 1022, 2179, 540, 3021, 762, 2829, 585, 1863, 267, 855, 798, 711, 1450, 835, 547, 1711, 1303, 22931, 2829, 269, 2290, 666, 1491, 519, 598, 2091, 1448, 540, 2070, 281, 835, 6238, 609, 513, 2016, 1362, 540, 4238, 630, 26183, 6717, 4238, 1070, 543, 1521, 519, 2829, 602, 616, 711, 1863, 607, 5627, 513, 4199, 267, 799, 666, 581, 1572, 1303, 836, 2211, 630, 22396, 269, 966, 10537, 630, 1220, 271, 26895, 634, 2596, 2055, 540, 1303, 836, 2211, 3069, 568, 281, 666, 1533, 581, 9927, 883, 676, 29486, 6717, 286, 1548, 568, 519, 6099, 2557, 540, 971, 513, 5912, 888, 1103, 1303, 836, 2211, 3069, 267, 713, 4847, 835, 547, 5581, 513, 1297, 540, 3800, 540, 1303, 836, 2211, 267, 2094, 9247, 267, 1022, 1599, 799, 1281, 711, 2333, 896, 29486, 6717, 568, 513, 2268, 269, 1717, 267, 3976, 2484, 267, 1100, 835, 814, 1336, 513, 2189, 2268, 269, 634, 1898, 7411, 630, 553, 786, 1831, 20501, 264, 568, 602, 4238, 896, 29486, 6717, 616, 711, 31181, 269, 1717, 267, 952, 835, 814, 513, 11658, 1362, 540, 4238, 585, 799, 13289, 616, 31181, 267, 1287, 649, 786, 1294, 602, 519, 2557, 540, 13289, 3947, 835, 513, 2189, 2268, 269, 901, 568, 2147, 547, 6986, 536, 760, 691, 924, 1533, 1303, 836, 2211, 1141, 649, 723, 10941, 2225, 267, 543, 972, 568, 2189, 2268, 540, 1303, 836, 2211, 630, 550, 16552, 540, 1016, 17882, 264, 303, 8554, 30501, 543, 30323, 337, 28727, 630, 1960, 278, 5148, 26999, 9116, 1696, 620, 269, 630, 1960, 277, 322, 1916, 1103, 519, 1459, 960, 267, 649, 2015, 513, 11658, 1362, 540, 4238, 649, 4927, 1289, 3143, 19192, 15051, 630, 17472, 264, 10127, 543, 946, 713, 547, 1020, 513, 2189, 2268, 585, 1344, 269, 26243, 267, 649, 2015, 4238, 1141, 835, 568, 4847, 547, 946, 4351, 6846, 607, 513, 1863, 4199, 269, 12344, 4831, 10784, 30698, 569, 267, 4351, 1145, 2636, 835, 547, 1118, 519, 14759, 31181, 281, 519, 1297, 540, 6986, 2829, 543, 6846, 799, 568, 2877, 547, 1106, 519, 1533, 267, 568, 519, 1482, 607, 519, 2179, 602, 666, 581, 5833, 689, 519, 1533, 269, 634, 8912, 7664, 540, 6404, 2829, 267, 568, 602, 972, 5137, 3322, 9048, 951, 4601, 21006, 1344, 269, 3371, 649, 1294, 602, 952, 835, 814, 1569, 547, 6846, 607, 513, 4199, 267, 1287, 972, 568, 1100, 9048, 951, 2225, 563, 1607, 814, 4277, 4539, 7282, 1303, 836, 2211, 3069, 267, 2094, 972, 267, 519, 9048, 951, 2225, 568, 1419, 2404, 609, 519, 1249, 602, 835, 568, 7231, 609, 6404, 2829, 269, 3371, 267, 649, 1294, 602, 13289 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26872, 3852, 510, 16708, 14267, 24341, 24556, 14267, 395, 491, 19031, 15770, 14832, 24341, 394, 352, 21227, 14832, 394, 511, 395, 485, 15770, 15403, 10382, 19314, 13263, 681, 9680, 8780, 2207, 5508, 29313, 18306, 19611, 12601, 19006, 454, 4932, 16576, 3722, 5058, 623, 27773, 267, 631, 6579, 3951, 14473, 267, 6730, 661, 6717, 299, 2464, 296, 3008, 22310, 19200, 11902, 7644, 306, 3248, 293, 2562, 23814, 267, 700, 25604, 2969, 13543, 267, 13316, 267, 589, 16165, 2975, 17109, 13543, 2676, 13263, 631, 17248, 3198, 13965, 28960, 19851, 23802, 454, 15578, 1034, 1271, 2680, 540, 476, 6245, 279, 267, 711, 547, 938, 2197, 4805, 267, 855, 547, 782, 18495, 267, 729, 519, 2110, 855, 23801, 16311, 602, 10032, 519, 17189, 1379, 540, 606, 3504, 543, 4583, 10806, 267, 7333, 1639, 519, 2063, 22514, 15607, 540, 5053, 4341, 689, 519, 7262, 21571, 267, 3976, 14656, 519, 2185, 10601, 12416, 602, 3459, 609, 23634, 14162, 543, 7475, 609, 595, 13996, 320, 267, 3773, 547, 519, 1977, 5742, 8513, 3160, 547, 1896, 1804, 2276, 267, 543, 8118, 519, 4064, 540, 2342, 547, 519, 1249, 602, 519, 7262, 14081, 1522, 693, 1022, 942, 6707, 7682, 3294, 607, 513, 1158, 1379, 540, 519, 1101, 7584, 269, 589, 13151, 3307, 2272, 540, 713, 7415, 2112, 267, 609, 12383, 267, 786, 581, 1336, 538, 519, 2376, 834, 18197, 2276, 1701, 898, 568, 547, 581, 4397, 602, 267, 607, 538, 519, 2013, 540, 782, 10617, 267, 930, 2798, 786, 581, 3905, 569, 31713, 267, 543, 267, 5310, 267, 2760, 12306, 282, 855, 649, 3494, 602, 23600, 786, 581, 1336, 547, 581, 607, 4977, 543, 31717, 606, 2272, 607, 666, 581, 2854, 1247, 519, 20825, 616, 865, 1007, 269, 1677, 621, 649, 723, 3773, 513, 3948, 267, 16432, 609, 9645, 4074, 543, 13258, 267, 6029, 519, 3356, 543, 7589, 540, 1169, 31458, 267, 6007, 267, 543, 6077, 267, 782, 1373, 11231, 585, 4712, 4704, 538, 9904, 673, 543, 10230, 1931, 269, 769, 4276, 609, 713, 1641, 519, 5467, 786, 581, 5461, 849, 538, 519, 4930, 593, 834, 763, 13372, 2437, 834, 763, 28247, 14772, 2437, 543, 834, 303, 340, 15300, 22656, 1701, 1656, 646, 786, 849, 1265, 27367, 25780, 267, 609, 23609, 267, 540, 519, 811, 7986, 4108, 543, 17189, 4971, 619, 563, 9202, 538, 2956, 2501, 519, 12560, 11601, 676, 519, 2136, 2276, 540, 519, 22963, 11866, 267, 799, 616, 711, 1152, 834, 1492, 27032, 540, 519, 7414, 2437, 855, 519, 1390, 7580, 1448, 538, 602, 22800, 5836, 799, 568, 6385, 4742, 513, 24271, 656, 850, 15180, 540, 519, 9533, 269, 3776, 11954, 4786, 540, 713, 1895, 568, 2016, 538, 519, 4320, 585, 476, 6245, 273, 267, 543, 602, 540, 18010, 538, 476, 6245, 277, 267, 1247, 11954, 7851, 540, 17896, 22656, 543, 519, 13372, 2408, 538, 713, 4320, 563, 13328, 781, 4023, 338, 268, 852, 1572, 834, 1410, 21752, 257, 734, 6518, 941, 688, 6150, 607, 513, 7415, 8798, 1447, 982, 3368, 513, 2540, 3516, 267, 616, 4742, 267, 952, 711, 1169, 6377, 267, 3592, 1169, 20204, 20825, 269, 901, 1032, 649, 2594, 267, 609, 12383, 267, 602, 799, 729, 4371, 538, 15345, 21036, 267, 3026, 321, 563, 5978, 2834, 4930, 593, 834, 22349, 25348, 267, 11061, 2437, 834, 18404, 718, 21395, 2437, 25115, 9609, 2437, 834, 30125, 2437, 543, 834, 24357, 5735, 257, 1397, 1018, 729, 2944, 538, 519, 11636, 9443, 269, 1809, 972, 941, 1079, 3621, 29217, 538, 476, 6245, 279, 540, 865, 1390, 2956, 607, 547, 3747, 5094, 543, 11609, 4930, 282, 891, 616, 834, 299, 1172, 1030, 1221, 5794, 257, 543, 834, 310, 790, 1652, 1855, 25393, 344, 1701, 1703, 568, 849, 606, 2376, 593, 834, 300, 19318, 2961, 17699, 2437, 799, 616, 5156, 547, 581, 519, 1985, 3364, 649, 616, 547, 723, 585, 8723, 2951, 269, 4033, 8441, 538, 1570, 6454, 1652, 18476, 267, 855, 5310, 15991, 1447, 1271, 616, 1305, 8521, 538, 519, 4930, 593, 834, 299, 12915, 11817, 2437, 834, 8269, 3419, 518, 908, 543, 10979, 5336, 1136, 2437, 543, 834, 17556, 601, 29844, 4799, 1103, 519, 5837, 543, 1514, 1158, 972, 568, 3356, 849, 269, 2290, 7415, 5123, 540, 713, 568, 1305, 8521, 538, 938, 2376, 593, 834, 12892, 5590, 1479, 906, 21968, 1247, 519, 6029, 602, 649, 1118, 1169, 1032, 896, 519, 2140, 540, 834, 294, 22284, 543, 2142, 638, 3949, 257, 18327, 519, 6228, 540, 513, 8748, 6891, 540, 544, 684, 881, 775, 4724, 2069, 543, 17493, 269, 769, 476, 6245, 274, 519, 14919, 540, 891, 13344, 729, 1269, 3066, 267, 1822, 267, 1822, 282, 538, 476, 6245, 275, 621, 729, 1269, 3953, 267, 1822, 267, 1822, 282, 538, 476, 6245, 276, 621, 729, 3592, 1269, 3451, 267, 1822, 267, 1822, 282, 538, 476, 6245, 277, 621, 729, 1269, 2767, 267, 1822, 267, 1822, 282, 538, 476, 6245, 278, 621, 729, 1269, 3393, 267, 1822, 267, 1822, 282, 543, 538, 476, 6245, 279, 454, 527, 729, 1269, 4343, 267, 1822, 267, 1822, 269, 634, 5467, 945, 16858, 547, 11654, 713, 1641, 2417, 1058, 1413, 849, 693, 519, 2594, 540, 5692, 960, 538, 519, 4930, 593, 519, 1390, 3909, 29559, 563, 763, 4930, 834, 26296, 5623, 540, 476, 6245, 279, 257, 543, 834, 19226, 1734, 540, 519, 2136, 2276, 257, 786, 2285, 513, 2312, 2856, 540, 519, 24271, 656, 850, 543, 13075, 5322, 540, 519, 1032, 282, 543, 538, 4276, 609, 891, 519, 5467, 1058, 1413, 693, 519, 9184, 4327, 4123, 24096, 538, 519, 4930, 593, 519, 811, 1271, 2477, 563, 763, 3126, 540, 23609, 540, 1007, 1827, 832, 538, 519, 4930, 593, 2276, 540, 519, 5742, 568, 4797, 269, 898, 568, 711, 2347, 267, 585, 519, 2601, 602, 835, 729, 31464, 547, 723, 1010, 17855, 3370, 267, 543, 835, 610, 1079, 1866, 8959, 547, 4431, 693, 782, 563, 763, 2148, 2137, 540, 519, 1158, 1977, 267, 3703, 267, 543, 25550, 268, 732, 4843, 538, 519, 8912, 24096, 267, 799, 2285, 513, 4028, 5619, 540, 519, 2898, 2361, 269, 1656, 519, 834, 11514, 7539, 257, 543, 834, 18128, 757, 257, 540, 519, 1032, 616, 5701, 538, 5618, 26567, 9433, 269, 1452, 4930, 616, 5497, 607, 10832, 2864, 982, 606, 3801, 547, 2285, 2407, 1344, 267, 799, 1131, 581, 7543, 538, 513, 4320, 899, 713, 563, 16449, 519, 900, 5799, 4666, 540, 519, 1032, 519, 4408, 540, 519, 1079, 1390, 3864, 2829, 5443, 5174, 1143, 541, 1188, 543, 3794, 611, 7723, 268, 1056, 840, 15041, 5799, 269, 2201, 1142, 540, 891, 972, 568, 513, 2027, 2376, 267, 2854, 676, 513, 19579, 1688, 267, 609, 513, 17855, 538, 2584, 690, 9545, 675, 269, 634, 7980, 602, 5747, 538, 713, 1032, 3769, 717, 839, 269, 4119, 584, 267, 11370, 749, 267, 543, 14986, 322, 4920, 267, 945, 4465, 741, 21239, 538, 519, 3540, 2112, 282, 519, 1079, 7167, 6425, 267, 9601, 540, 519, 5053, 2112, 282, 543, 2836, 4869, 334, 25661, 807, 269, 7324, 519, 17189, 10492, 602, 5293, 2476, 941, 12253, 2549, 5443, 267, 29247, 20045, 2917, 267, 12253, 700, 269, 4858, 710, 267, 8176, 966, 269, 25373, 2917, 267, 29859, 12794, 868, 684, 267, 543, 5261, 589, 269, 31489, 1633, 269, 634, 17864, 543, 2829, 5443, 3769, 7338, 674, 269, 7345, 731, 267, 7338, 631, 269, 3213, 1961, 344, 267, 7917, 631, 269, 32511, 2033, 267, 3807, 514, 590, 269, 5651, 18115, 267, 5213, 631, 269, 7931, 3266, 267, 5261, 670, 269, 570, 637, 20799, 267, 543, 11184, 6723, 27578, 269, 634, 10565, 3924, 4503, 930, 945, 941, 2899, 8471, 29202, 855, 1185, 19622, 267, 543, 930, 945, 941, 1869, 593, 519, 12545, 267, 1519, 5261, 31550, 267, 8176, 654, 269, 16393, 1442, 267, 674, 15967, 5096, 523, 1636, 267, 9098, 667, 516, 615, 267, 24796, 674, 14072, 527, 267, 27262, 17384, 267, 661, 269, 808, 269, 7009, 2917, 267, 7338, 654, 269, 3223, 2940, 267, 20152, 631, 1430, 267, 543, 5261, 808, 269, 2480, 534, 17427, 269, 634, 1592, 540, 4589, 945, 6806, 741, 11678, 538, 476, 6245, 279, 2882, 1079, 1762, 4892, 267, 1142, 540, 7247, 3812, 513, 1433, 540, 5039, 531, 8560, 7232, 323, 1189, 13852, 18081, 543, 11977, 715, 269, 4639, 22574, 269, 634, 824, 4408, 593, 519, 5339, 2669, 5066, 1331, 5261, 4563, 267, 6307, 21582, 6577, 22548, 651, 267, 17214, 548, 710, 966, 15586, 667, 22844, 326, 1066, 267, 8176, 700, 269, 667, 617, 326, 5459, 267, 9677, 5651, 6308, 661, 1499, 267, 31187, 590, 269, 674, 599, 267, 29733, 12049, 20143, 267, 2349, 534, 3832, 4024, 529, 20999, 267, 9400, 29346, 3627, 8725, 267, 6723, 29807, 976, 700, 987, 1886, 267, 11427, 269, 661, 269, 22118, 333, 700, 15586, 267, 6276, 9796, 333, 267, 12756, 7200, 1047, 623, 944, 267, 19291, 570, 3317, 903, 517, 267, 543, 6424, 589, 269, 28243, 269, 634, 3744, 4503, 6276, 8065, 267, 9478, 589, 269, 700, 842, 1676, 267, 5261, 589, 269, 29124, 267, 543, 6723, 661, 269, 654, 2130, 282, 519, 20859, 267, 21469, 670, 269, 645, 668, 2917, 267, 19291, 654, 269, 1230, 2784, 267, 5261, 570, 269, 717, 3796, 267, 543, 8176, 700, 269, 5839, 6635, 11037, 282, 519, 31132, 267, 11184, 8361, 29817, 572, 1067, 267, 14355, 3798, 11276, 267, 543, 589, 269, 595, 269, 6153, 749, 282, 519, 5159, 267, 8738, 928, 11219, 2158, 267, 17722, 670, 269, 2836, 1457, 517, 267, 10658, 6665, 632, 932, 822, 2335, 525, 267, 3627, 589, 269, 2605, 6471, 267, 543, 16653, 1530, 573, 331, 269, 2986, 519, 900, 5799, 7606, 538, 519, 27394, 14347, 945, 1223, 711, 581, 1362, 539, 609, 1022, 540, 519, 2062, 4707, 941, 519, 6963, 619, 4223, 843, 320, 21280, 14979, 717, 720, 267, 26436, 623, 1571, 12064, 267, 543, 25845, 661, 269, 4024, 731, 282, 519, 791, 739, 832, 267, 14880, 2107, 2023, 630, 307, 747, 13871, 3409, 656, 264, 543, 3627, 661, 269, 654, 269, 918, 2465, 569, 282, 27869, 12876, 23810, 267, 519, 20552, 626, 282, 670, 269, 595, 269, 700, 269, 16910, 8124, 267, 1634, 607, 834, 1492, 26956, 781, 3659, 21968, 8493, 1676, 1627, 269, 2051, 2023, 267, 835, 540, 519, 3409, 1218, 547, 519, 6602, 540, 16562, 652, 12060, 282, 589, 269, 744, 820, 344, 8065, 267, 540, 570, 15634, 268, 2590, 21239, 282, 543, 1520, 20462, 27659, 549, 267, 519, 5599, 11653, 269, 4787, 564, 2583, 540, 782, 891, 543, 8464, 540, 1866, 2173, 1415, 540, 873, 10483, 609, 23609, 786, 581, 1336, 896, 519, 2212, 540, 834, 302, 4226, 340, 2456, 4799, 763, 8037, 12383, 711, 2907, 5018, 1331, 11954, 7851, 540, 5607, 543, 5527, 543, 1896, 2407, 22240, 1266, 9545, 902, 563, 2304, 4994, 547, 519, 1614, 12531, 540, 519, 3126, 32195, 519, 1433, 269, 0, 300, 2292, 5804, 519, 5824, 2262, 1395, 9508, 267, 28215, 602, 729, 2016, 676, 14564, 547, 519, 15831, 9947, 334, 1317, 972, 729, 513, 20511, 532, 13186, 1985, 547, 1200, 11454, 269, 14559, 568, 1022, 6221, 602, 568, 3622, 7608, 607, 8569, 585, 5370, 543, 2533, 543, 23231, 618, 540, 22440, 267, 971, 607, 9204, 267, 538, 513, 1880, 3148, 267, 2197, 610, 8739, 20300, 2796, 269, 4706, 12614, 7389, 1394, 547, 519, 8129, 540, 8103, 543, 922, 2168, 6041, 814, 3144, 593, 1360, 9867, 3029, 2394, 519, 5920, 540, 4496, 11113, 269, 634, 4871, 16694, 267, 513, 6093, 2099, 10620, 1862, 2859, 602, 568, 16155, 4570, 585, 519, 8569, 288, 4483, 540, 7482, 799, 17579, 525, 606, 17185, 593, 519, 851, 540, 513, 2628, 518, 1471, 268, 14504, 23724, 513, 2628, 2465, 269, 2859, 540, 22440, 543, 1590, 581, 7608, 585, 602, 3483, 950, 6035, 269, 3962, 16278, 11887, 1018, 568, 3656, 13035, 267, 855, 9247, 621, 568, 4376, 799, 950, 6035, 12462, 339, 25311, 14615, 538, 8569, 540, 513, 7963, 24773, 8460, 519, 7963, 269, 1703, 568, 1100, 17185, 593, 519, 3841, 3218, 547, 3398, 519, 4043, 1229, 8569, 267, 855, 519, 957, 540, 4043, 1359, 519, 8569, 538, 3656, 13035, 17579, 525, 519, 7963, 269, 0, 1432, 568, 31427, 888, 290, 7973, 9242, 6275, 568, 513, 1106, 540, 5907, 5907, 3059, 2724, 602, 3096, 25563, 547, 9580, 12023, 8852, 543, 4308, 609, 519, 4367, 540, 1007, 2533, 269, 901, 2731, 568, 513, 18228, 2724, 267, 621, 1797, 621, 949, 711, 581, 3238, 538, 1022, 2229, 610, 3919, 269, 31427, 568, 849, 1634, 607, 2228, 4914, 5385, 610, 3059, 5907, 2724, 269, 4438, 476, 1220, 280, 267, 11670, 729, 3370, 607, 519, 3355, 15170, 563, 7712, 1287, 267, 649, 723, 2938 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8956, 568, 11292, 1759, 593, 513, 10629, 781, 2949, 543, 5401, 1145, 8464, 563, 15253, 6842, 622, 16362, 23779, 630, 1001, 275, 994, 15253, 6842, 622, 16362, 13995, 568, 11292, 547, 13500, 945, 1521, 741, 2550, 609, 519, 25932, 11587, 269, 634, 8956, 568, 11292, 1759, 593, 513, 10629, 781, 2949, 543, 5127, 2515, 6073, 8464, 563, 30535, 262, 14893, 13815, 630, 1001, 276, 994, 30535, 262, 14893, 6284, 9356, 519, 3017, 513, 1880, 10629, 814, 1500, 538, 519, 2729, 540, 1010, 17017, 2550, 269, 634, 8956, 568, 1655, 15735, 547, 13500, 945, 723, 4607, 2282, 3501, 8464, 267, 607, 20366, 676, 2550, 563, 24171, 16962, 2160, 11233, 454, 7804, 269, 3474, 341, 714, 918, 962, 2730, 15595, 14741, 24693, 519, 1739, 6142, 7426, 563, 268, 589, 564, 3534, 8564, 454, 6195, 7034, 9791, 9315, 454, 268, 7460, 7034, 9791, 9315, 623, 17269, 454, 268, 21222, 517, 7460, 7034, 744, 300, 301, 8656, 910, 30263, 2207, 272, 454, 268, 21222, 517, 6034, 7457, 454, 268, 21222, 517, 670, 19616, 454, 268, 21222, 517, 744, 300, 301, 8656, 454, 268, 21222, 517, 623, 5308, 454, 268, 21222, 517, 623, 17269, 454, 268, 10228, 15213, 454, 268, 10228, 2657, 12567, 3557, 454, 268, 10228, 23068, 454, 268, 10228, 5450, 549, 454, 268, 7348, 676, 19715, 454, 299, 23148, 1299, 19648, 454, 7804, 269, 3474, 341, 714, 918, 962, 2730, 15595, 14741, 568, 2147, 547, 519, 1739, 476, 274, 24930, 2282, 4432, 595, 1690, 517, 267, 11404, 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 ]
[ 1482, 1899, 6879, 1901, 269, 12113, 9317, 9357, 7418, 616, 6719, 676, 513, 2101, 8445, 10483, 676, 513, 6292, 540, 2789, 339, 19589, 9648, 476, 271, 269, 280, 552, 309, 547, 2901, 2427, 540, 519, 2101, 8445, 543, 513, 21199, 5346, 9682, 693, 11506, 661, 321, 1496, 24941, 292, 321, 4501, 376, 277, 552, 309, 267, 630, 18250, 4504, 344, 516, 543, 2098, 564, 4768, 330, 267, 476, 3192, 278, 264, 4940, 634, 3448, 14556, 885, 540, 519, 3171, 263, 2862, 264, 19589, 616, 5812, 609, 519, 27069, 3631, 543, 723, 1044, 4294, 11992, 538, 519, 8446, 540, 4389, 4401, 538, 519, 4527, 540, 14471, 630, 15463, 6975, 1696, 620, 1421, 476, 1960, 279, 282, 3026, 531, 1696, 620, 1421, 476, 1220, 272, 267, 476, 1220, 275, 282, 13804, 639, 517, 1696, 620, 1421, 476, 1220, 275, 1916, 19091, 12476, 23531, 543, 8426, 9931, 5811, 454, 290, 20635, 941, 6738, 16074, 593, 681, 273, 288, 26185, 29979, 609, 476, 736, 544, 300, 535, 20783, 622, 693, 476, 1789, 9180, 543, 19122, 676, 25916, 566, 269, 8426, 26005, 941, 17735, 538, 513, 7848, 540, 568, 641, 1886, 12935, 543, 1216, 630, 272, 281, 272, 1040, 634, 717, 266, 290, 1543, 540, 22308, 5027, 729, 5462, 676, 1164, 26024, 5277, 24885, 2762, 1210, 519, 1505, 540, 12379, 321, 1695, 1696, 620, 269, 630, 2735, 280, 1070, 543, 17757, 573, 16570, 4754, 729, 9916, 676, 519, 1505, 540, 5576, 548, 11717, 543, 918, 663, 2401, 630, 3192, 273, 1040, 5637, 9382, 941, 5340, 693, 1546, 583, 22385, 590, 2459, 331, 2426, 13153, 631, 1731, 549, 6716, 1143, 523, 3768, 2098, 749, 330, 11857, 333, 630, 9169, 300, 313, 1916, 290, 20635, 540, 968, 303, 269, 561, 559, 2801, 892, 772, 23859, 272, 941, 6738, 538, 606, 16464, 681, 273, 288, 26185, 693, 476, 1789, 9180, 16074, 543, 19122, 676, 25916, 566, 269, 634, 10652, 2280, 729, 17735, 538, 513, 7848, 540, 568, 641, 1886, 12935, 543, 1216, 630, 272, 281, 272, 264, 543, 11643, 547, 32663, 313, 585, 5027, 5937, 2793, 10316, 1436, 609, 19994, 657, 19434, 7542, 618, 753, 681, 278, 307, 630, 9169, 300, 476, 14378, 5400, 1040, 5027, 729, 9678, 689, 519, 1591, 10652, 2280, 1210, 513, 3943, 2604, 1591, 543, 29881, 676, 24885, 2762, 593, 18038, 344, 777, 520, 924, 607, 4330, 676, 595, 5831, 1696, 620, 269, 630, 3192, 278, 1040, 5027, 5937, 2793, 10316, 1436, 729, 5645, 856, 607, 4330, 5892, 630, 5719, 299, 5674, 1696, 620, 1421, 476, 3192, 271, 264, 609, 519, 12381, 4330, 676, 670, 1380, 1696, 620, 269, 630, 2735, 274, 264, 1210, 513, 2203, 595, 776, 476, 1911, 12713, 11158, 270, 309, 3041, 1606, 1051, 5268, 582, 10309, 9280, 609, 513, 623, 3881, 1512, 268, 750, 2865, 520, 1540, 476, 277, 6398, 476, 277, 24352, 749, 1680, 518, 543, 513, 2837, 17120, 609, 538, 2198, 2837, 16785, 630, 309, 4115, 1040, 20587, 5027, 5937, 2793, 16726, 729, 6027, 538, 476, 273, 311, 29649, 9770, 3632, 3433, 630, 7704, 290, 264, 3070, 693, 476, 4792, 9180, 563, 293, 520, 1399, 18729, 631, 14007, 661, 3122, 5811, 454, 2304, 16074, 2528, 540, 968, 303, 269, 561, 559, 2801, 892, 772, 23859, 272, 729, 6738, 593, 681, 273, 288, 26185, 5627, 476, 736, 544, 300, 535, 20783, 622, 693, 476, 1789, 9180, 269, 634, 2281, 941, 19122, 676, 25916, 566, 267, 13792, 11196, 736, 9180, 1070, 543, 9916, 676, 19287, 658, 9517, 630, 6124, 1046, 267, 16692, 267, 2136, 2276, 264, 585, 9761, 3679, 18861, 1965, 614, 1543, 563, 290, 20635, 941, 6738, 16074, 693, 476, 1789, 9180, 538, 681, 273, 288, 26185, 5627, 476, 736, 544, 300, 535, 20783, 622, 585, 24466, 18572, 1210, 513, 5845, 2354, 2473, 299, 476, 1789, 7025, 2480, 8911, 5082, 1258, 5843, 2675, 2100, 630, 2464, 4932, 1070, 5665, 693, 476, 1015, 737, 309, 609, 513, 6093, 3077, 1699, 540, 476, 272, 269, 4037, 13179, 288, 269, 13405, 547, 9196, 267, 519, 2281, 941, 18233, 7466, 543, 556, 1606, 22273, 2105, 538, 19552, 10889, 1229, 29649, 630, 335, 295, 476, 278, 1040, 667, 549, 921, 1206, 540, 519, 18233, 1591, 20022, 941, 5116, 538, 513, 598, 673, 11536, 4932, 4410, 547, 11694, 3070, 4320, 269, 634, 12068, 729, 9738, 693, 3980, 376, 3393, 260, 3448, 11195, 630, 273, 269, 271, 9180, 267, 476, 273, 269, 275, 8731, 337, 540, 670, 273, 302, 264, 1210, 513, 4999, 540, 623, 3881, 1512, 9023, 543, 11186, 23028, 269, 11536, 4932, 9196, 6743, 1101, 693, 519, 8728, 540, 519, 4410, 1287, 27636, 27808, 547, 1265, 4525, 540, 6099, 1591, 5860, 267, 8766, 964, 27364, 566, 267, 543, 8766, 13247, 540, 20919, 563, 1626, 306, 678, 11748, 22319, 2549, 680, 2305, 454, 7049, 5669, 5027, 729, 13939, 689, 968, 303, 269, 561, 559, 2801, 892, 772, 23859, 272, 1210, 519, 7720, 12713, 8299, 571, 11162, 19287, 658, 5027, 6539, 630, 27770, 12713, 8534, 14898, 267, 5549, 1421, 2961, 3149, 21112, 267, 11404, 267, 2136, 2276, 1040, 19738, 29208, 540, 519, 476, 1626, 306, 678, 11748, 5444, 729, 5340, 609, 2215, 619, 476, 279, 293, 630, 276, 12664, 268, 8980, 8980, 22721, 307, 294, 2969, 290, 6311, 31769, 6311, 7563, 294, 268, 274, 12664, 264, 630, 292, 6577, 1696, 620, 1421, 476, 1960, 272, 1070, 476, 3445, 278, 305, 630, 276, 12664, 268, 6717, 28566, 7563, 2969, 12839, 21587, 22721, 6938, 294, 22721, 307, 268, 274, 12664, 264, 630, 299, 2033, 1696, 620, 1421, 476, 2735, 276, 1070, 476, 3583, 275, 293, 630, 276, 12664, 268, 28566, 8980, 290, 294, 28566, 294, 8150, 2969, 24774, 28566, 8980, 288, 268, 274, 12664, 264, 630, 299, 2033, 1696, 620, 1421, 476, 2735, 276, 1070, 543, 476, 14983, 273, 305, 630, 276, 12664, 268, 31769, 22721, 3722, 6311, 307, 294, 22721, 3722, 294, 16898, 307, 268, 274, 12664, 264, 630, 299, 2033, 267, 476, 1960, 272, 1040, 3962, 476, 2004, 13179, 299, 19738, 5114, 7848, 8659, 476, 272, 772, 20853, 268, 272, 540, 12213, 20764, 29920, 543, 476, 272, 311, 14562, 15879, 21691, 5114, 17280, 630, 6124, 4789, 22776, 11274, 267, 594, 1186, 16049, 267, 10790, 267, 2136, 2276, 1070, 476, 7742, 13179, 300, 546, 301, 9143, 338, 267, 476, 8517, 562, 300, 540, 1142, 29194, 267, 476, 273, 544, 300, 27002, 12569, 275, 267, 543, 476, 272, 269, 276, 13179, 299, 540, 22308, 5027, 10959, 269, 634, 19738, 29208, 2175, 941, 607, 5205, 281, 606, 3355, 476, 4817, 9180, 3954, 4405, 566, 585, 476, 276, 1295, 267, 4553, 676, 476, 1789, 9979, 540, 476, 4817, 9180, 3954, 4405, 566, 585, 476, 272, 1295, 267, 476, 6321, 269, 272, 9180, 29194, 32319, 2718, 585, 476, 272, 1295, 267, 543, 476, 7761, 9180, 10137, 585, 476, 273, 269, 276, 1295, 267, 543, 1287, 513, 3803, 10137, 693, 476, 7761, 9180, 585, 476, 275, 1295, 269, 19738, 2472, 941, 29881, 1210, 519, 1627, 328, 10402, 1627, 8656, 638, 1157, 19738, 8830, 2305, 14173, 630, 11749, 16780, 807, 267, 11404, 267, 2136, 2276, 264, 829, 10672, 779, 5528, 269, 634, 476, 1626, 306, 678, 11748, 5444, 19738, 2472, 941, 3524, 10642, 693, 519, 27924, 3557, 2160, 17449, 3194, 11759, 11120, 1006, 630, 300, 13612, 293, 264, 593, 606, 9474, 296, 476, 20542, 271, 12747, 31479, 3524, 27247, 630, 7343, 29736, 645, 3930, 2448, 338, 267, 23340, 4975, 267, 11404, 267, 2136, 2276, 264, 1210, 476, 279, 293, 267, 476, 31982, 305, 630, 276, 12664, 268, 2969, 307, 3722, 290, 24774, 31769, 6311, 294, 6311, 31769, 268, 274, 12664, 264, 630, 299, 2033, 1696, 620, 1421, 476, 2735, 276, 1070, 476, 3445, 278, 305, 267, 476, 3583, 275, 293, 267, 476, 8099, 271, 293, 630, 276, 12664, 268, 7563, 3722, 294, 8980, 290, 294, 7563, 3722, 290, 6311, 268, 274, 12664, 264, 630, 299, 2033, 1696, 620, 1421, 476, 2735, 276, 1070, 543, 476, 14983, 273, 305, 2215, 619, 538, 1931, 547, 10018, 16937, 540, 9696, 269, 19738, 2472, 28659, 609, 476, 279, 293, 543, 476, 14983, 273, 305, 2215, 619, 941, 849, 804, 19861, 538, 1931, 547, 8207, 519, 476, 274, 12664, 543, 476, 276, 12664, 7475, 540, 519, 476, 1626, 306, 678, 11748, 5444, 269, 8056, 2664, 2299, 1739, 519, 19738, 5114, 267, 476, 274, 12664, 268, 288, 936, 28702, 338, 941, 3773, 547, 31555, 15134, 476, 1626, 306, 678, 11748, 5444, 993, 2364, 976, 6383, 609, 476, 279, 293, 270, 14983, 273, 305, 543, 12213, 20764, 29920, 1210, 19248, 336, 29920, 630, 1103, 10903, 4088, 267, 2961, 3149, 21112, 267, 11404, 267, 2136, 2276, 264, 538, 606, 3606, 476, 1015, 15902, 10137, 5340, 693, 476, 7761, 9180, 269, 1280, 1840, 540, 476, 274, 12664, 268, 288, 936, 28702, 338, 267, 519, 476, 1839, 13179, 299, 5114, 8659, 519, 1739, 281, 476, 1626, 269, 273, 13179, 299, 540, 31555, 15134, 19738, 1587, 267, 476, 272, 311, 17280, 267, 476, 273, 544, 300, 27002, 5141, 273, 267, 476, 6110, 13179, 300, 546, 2969, 303, 267, 543, 476, 272, 772, 19248, 336, 29920, 269, 634, 4611, 476, 1626, 306, 678, 11748, 5444, 1587, 729, 804, 19861, 883, 519, 533, 10135, 275, 2485, 362, 268, 307, 8008, 302, 10378, 6152, 1210, 519, 570, 8008, 302, 25526, 1849, 11238, 10378, 14173, 585, 14938, 9760, 630, 1103, 10903, 4088, 267, 2961, 3149, 21112, 267, 11404, 267, 2136, 2276, 264, 2687, 547, 519, 10672, 779, 5528, 269, 1773, 11047, 1749, 941, 29881, 689, 804, 2158, 1210, 519, 1627, 328, 10402, 1627, 328, 777, 10517, 10378, 1975, 514, 3687, 760, 10517, 6539, 630, 11749, 16780, 807, 267, 11404, 267, 2136, 2276, 264, 543, 3524, 10642, 2047, 1210, 2215, 619, 631, 1724, 293, 630, 276, 12664, 268, 28566, 8150, 288, 3722, 294, 3722, 31769, 7563, 294, 268, 274, 12664, 1070, 631, 1724, 305, 630, 276, 12664, 268, 7563, 31769, 8150, 3722, 8980, 6311, 2969, 294, 3722, 268, 274, 12664, 1070, 570, 274, 630, 276, 12664, 268, 2969, 14011, 3722, 290, 6311, 290, 16898, 8150, 8980, 294, 16598, 268, 274, 12664, 1070, 543, 570, 278, 630, 276, 12664, 268, 14011, 2969, 3722, 294, 3722, 12839, 16898, 2969, 8980, 31769, 268, 274, 12664, 264, 693, 519, 4959, 308, 631, 13612, 293, 269, 634, 2637, 289, 1678, 1569, 542, 1297, 585, 519, 476, 1626, 306, 678, 11748, 5311, 540, 968, 303, 269, 561, 559, 2801, 892, 772, 23859, 272, 568, 667, 304, 27768, 279, 5780, 267, 543, 519, 8908, 11646, 1569, 542, 1297, 568, 8713, 25484, 5952, 273, 563, 11854, 2886, 8204, 519, 10598, 520, 15960, 2373, 4147, 941, 5462, 1759, 593, 519, 5903, 540, 1160, 28648, 5328, 18780, 609, 30557, 538, 715, 32393, 1155, 630, 299, 4916, 301, 264, 272, 630, 8512, 324, 267, 476, 1001, 275, 1040, 623, 17222, 21925, 2079, 729, 5342, 1210, 1312, 8121, 289, 267, 4528, 476, 277, 269, 271, 269, 277, 630, 18360, 6064, 1696, 620, 1421, 476, 1960, 277, 264, 3301, 267, 543, 519, 590, 6579, 22849, 5311, 6538, 9399, 7838, 1030, 318, 24520, 4200, 318, 12553, 318, 306, 6579, 22849, 318, 5881, 318, 6021, 318, 1626, 318, 9953, 273, 630, 5226, 770, 1696, 620, 1421, 476, 1001, 274, 1040, 14938, 1878, 711, 2139, 538, 713, 590, 6579, 22849, 6538, 941, 22434, 689, 2637, 289, 1678, 274, 269, 590, 6579, 22849, 5311, 5447, 906, 941, 1031, 609, 513, 1906, 13217, 906, 1500, 16924, 269, 14938, 1878, 941, 22012, 1210, 590, 6579, 22849, 779, 2990, 531, 13260, 676, 16163, 574, 3415, 6882, 585, 4551, 630, 1842, 318, 12534, 318, 1087, 675, 325, 281, 321, 22160, 1040, 623, 17222, 21925, 3529, 729, 18505, 1042, 1369, 519, 8121, 289, 3301, 676, 519, 26228, 700, 1731, 9685, 1505, 11682, 312, 7876, 267, 4528, 476, 1001, 28906, 5400, 630, 10817, 785, 517, 543, 717, 2444, 3241, 267, 476, 1220, 274, 1070, 1210, 30859, 18839, 2203, 670, 298, 312, 5952, 630, 295, 848, 326, 11867, 1696, 620, 1421, 476, 2735, 276, 264, 543, 7936, 7028, 5462, 676, 28662, 16759, 563, 24342, 543, 17564, 454, 1805, 1778, 1772, 15684, 543, 5651, 874, 1108, 454, 2108, 303, 601, 657, 19434, 561, 559, 2801, 892, 772, 23859, 272, 729, 9678, 896, 14553, 26103, 2175, 689, 8920, 1081, 3562, 268, 2169, 8012, 14713, 6901, 267, 543, 729, 5827, 540, 589, 304, 9169, 5786, 267, 607, 10423, 676, 513, 2681, 1689, 538, 2208, 5420, 689, 12001, 267, 12779, 5835, 547, 6505, 10538, 269, 1323, 620, 1172, 582, 540, 23918, 2528, 729, 1792, 8898, 593, 681, 273, 288, 10824, 5627, 476, 736, 544, 300 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8794, 707, 1378, 21912, 5903, 6388, 630, 5408, 7923, 1070, 2936, 513, 1362, 1572, 670, 4007, 18204, 518, 602, 4564, 17062, 21092, 9981, 543, 7028, 1840, 1152, 269, 1411, 949, 1152, 946, 519, 2645, 602, 723, 5189, 538, 1362, 267, 543, 596, 10790, 312, 10691, 946, 10084, 779, 8262, 18204, 518, 1362, 563, 2690, 707, 2856, 827, 7084, 281, 13914, 827, 519, 20159, 602, 649, 723, 609, 519, 8870, 538, 519, 1279, 18642, 2010, 865, 891, 616, 782, 8870, 2010, 607, 8870, 666, 3180, 1152, 2338, 1063, 689, 683, 1326, 633, 547, 5479, 543, 2318, 547, 5479, 267, 1279, 666, 3180, 8273, 2338, 855, 1869, 711, 12808, 2338, 1210, 513, 5532, 1592, 1775, 1616, 596, 547, 2099, 606, 12808, 2450, 1297, 621, 786, 2285, 14887, 607, 707, 2338, 1205, 2462, 865, 1174, 952, 596, 2119, 547, 2099, 513, 1297, 609, 4557, 18265, 4025, 538, 621, 865, 922, 2469, 547, 1205, 3500, 267, 519, 1448, 568, 649, 616, 1210, 3095, 1592, 547, 2099, 2338, 602, 616, 17062, 538, 2450, 1223, 581, 607, 1279, 1223, 581, 607, 5458, 9981, 649, 1616, 267, 2659, 5458, 8870, 1362, 1058, 1489, 4946, 5458, 8870, 1927, 269, 7151, 263, 952, 596, 723, 835, 5458, 8870, 543, 1776, 5458, 8870, 596, 1058, 581, 2111, 547, 1039, 1346, 1079, 1927, 6721, 1776, 5458, 8870, 799, 568, 519, 2040, 540, 1346, 1079, 1040, 3383, 1312, 5458, 9981, 616, 6719, 607, 5532, 8638, 269, 865, 596, 723, 547, 979, 1394, 543, 798, 1840, 829, 6843, 609, 519, 4163, 11353, 269, 2290, 3364, 596, 723, 547, 938, 3009, 799, 568, 519, 2702, 547, 1205, 513, 6843, 693, 513, 1880, 4994, 269, 9406, 1631, 649, 723, 547, 4894, 855, 649, 1522, 711, 1616, 547, 4894, 621, 649, 1522, 1616, 547, 723, 1205, 621, 269, 1924, 3478, 513, 6843, 693, 513, 1808, 4994, 568, 2469, 547, 581, 1360, 2147, 547, 4894, 2503, 649, 530, 2632, 31028, 8631, 269, 2171, 616, 1152, 2838, 547, 1118, 13535, 1326, 18204, 518, 585, 1840, 12991, 5588, 292, 281, 594, 723, 7923, 513, 23407, 3758, 621, 568, 585, 519, 2856, 540, 875, 547, 798, 621, 607, 594, 1705, 538, 1250, 1153, 865, 596, 723, 547, 798, 2687, 547, 519, 23407, 3758, 563, 4322, 616, 519, 3095, 540, 3381, 779, 540, 1250, 20131, 1018, 646, 723, 2944, 538, 1362, 6025, 8962, 1031, 2187, 663, 849, 2638, 519, 7923, 23407, 3758, 563, 22013, 1853, 532, 513, 1164, 7779, 1587, 693, 513, 10257, 3902, 568, 711, 2614, 15042, 563, 6546, 779, 1946, 649, 723, 2919, 476, 276, 6225, 18715, 602, 786, 1118, 707, 1995, 609, 938, 3028, 11791, 267, 2653, 267, 543, 2922, 563, 2791, 723, 547, 581, 476, 1911, 260, 2386, 540, 519, 2298, 540, 707, 1587, 547, 2285, 513, 2724, 25746, 10018, 269, 901, 6257, 721, 9985, 269, 5269, 2386, 602, 713, 10018, 568, 11207, 12001, 19403, 811, 454, 10376, 1957, 568, 7768, 689, 15072, 267, 2687, 547, 707, 5528, 269, 898, 568, 1287, 13761, 676, 938, 17096, 1673, 564, 1254, 3301, 269, 1703, 568, 1100, 7934, 1141, 17096, 1223, 25837, 538, 19403, 811, 454, 12552, 547, 938, 1863, 26941, 267, 972, 568, 1100, 1259, 585, 596, 547, 581, 5667, 15384, 30829, 269, 1284, 786, 960, 593, 707, 1957, 2394, 596, 616, 4625, 6126, 609, 519, 1267, 19403, 811, 454, 7312, 4757, 568, 2922, 267, 607, 649, 4558, 621, 2687, 547, 3486, 1239, 4027, 3652, 269, 2659, 4871, 3877, 616, 5150, 267, 607, 649, 946, 1152, 6325, 8569, 1949, 19403, 811, 454, 3528, 11488, 721, 707, 2724, 267, 596, 4444, 519, 3028, 649, 1683, 269, 6744, 856, 938, 2474, 543, 2175, 952, 596, 4782, 1870, 12909, 547, 581, 9788, 856, 538, 4013, 1893, 19403, 811 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7459, 269, 1635, 11173, 547, 2936, 543, 6218, 2146, 7459, 267, 649, 666, 960, 2509, 5355, 519, 1072, 4093, 540, 2950, 269, 0, 10527, 29142, 718, 8403, 568, 556, 12737, 539, 676, 24467, 855, 1152, 827, 476, 272, 10759, 540, 13247, 2965, 10301, 519, 6864, 11717, 12422, 3034, 3528, 700, 4883, 8055, 454, 19688, 476, 1321, 267, 476, 1001, 277, 1765, 1700, 763, 29142, 718, 8403, 13985, 11717, 568, 693, 1981, 540, 15018, 909, 256, 634, 6864, 11717, 267, 799, 568, 851, 540, 519, 4400, 26111, 13985, 11717, 267, 896, 15533, 13980, 540, 476, 279, 2829, 267, 3162, 21241, 267, 27228, 267, 29131, 267, 12548, 267, 17857, 267, 20274, 267, 1715, 6792, 543, 7147, 267, 543, 21269, 476, 11260, 267, 1822, 13483, 269, 5195, 538, 519, 4571, 8054, 2136, 2276, 269, 4826, 689, 519, 6864, 11717, 814, 1082, 3096, 855, 12555, 3096, 519, 5354, 1765, 6872, 2929, 17529, 829, 1554, 256, 634, 29142, 718, 8403, 849, 7727, 5111, 476, 11025, 260, 540, 519, 6704, 1216, 585, 519, 936, 2391, 2829, 563, 12850, 6452, 636, 1637, 538, 519, 29142, 718, 8403, 454, 12850, 3323, 7213, 6819, 538, 519, 6864, 11717, 476, 1428, 267, 1822, 1296, 3516, 269, 9466, 773, 14355, 267, 513, 11001, 585, 519, 17857, 24959, 11752, 267, 2829, 267, 968, 2252, 519, 1283, 31542, 941, 18202, 909, 899, 513, 24095, 519, 26703, 9944, 1131, 1413, 899, 606, 8900, 4212, 7047, 517, 267, 609, 19589, 543, 23898, 540, 8795, 17909, 269, 769, 2694, 540, 7262, 27228, 267, 1141, 519, 29142, 718, 8403, 568, 726, 550, 3814, 267, 519, 26703, 11498, 607, 2484, 607, 513, 8536, 3952, 2630, 519, 3047, 779, 2627, 3034, 12850, 6987, 3555, 540, 519, 13985, 11717, 454, 29209, 4336, 10868, 540, 1216, 689, 519, 6864, 11717, 585, 8105, 5301, 3459, 1310, 24918, 1813, 547, 4824, 8105, 2409, 543, 3484, 3937, 269, 6168, 476, 2767, 260, 540, 519, 11125, 730, 3484, 1633, 538, 519, 772, 2529, 269, 6013, 936, 519, 6864, 11717, 269, 17497, 519, 3484, 1633, 1657, 519, 6864, 11717, 7472, 827, 476, 272, 270, 276, 540, 519, 14132, 267, 8970, 543, 10568, 10057, 538, 519, 772, 2529, 1421, 855, 519, 1216, 568, 15723, 1154, 5488, 982, 2470, 666, 25579, 880, 621, 2687, 547, 606, 5571, 476, 2568, 1032, 1353, 563, 1103, 930, 2694, 540, 7262, 17857, 19401, 723, 11207, 12015, 909, 256, 9737, 519, 1296, 476, 1220, 271, 543, 476, 1220, 279, 267, 476, 1839, 260, 540, 519, 29142, 718, 8403, 13985, 11717, 814, 30701, 689, 2157, 540, 519, 2038, 476, 5197, 271, 779, 269, 4495, 30701, 519, 6864, 11717, 786, 1491, 936, 476, 277, 267, 1822, 1296, 547, 25579, 880, 6923, 689, 11811, 269, 589, 476, 1001, 274, 1353, 9472, 539, 602, 519, 4400, 26111, 13985, 11717, 267, 799, 519, 29142, 718, 8403, 2306, 909, 519, 6574, 6712, 267, 1131, 581, 476, 7597, 260, 30701, 676, 476, 18684, 271, 7868, 29142, 718, 8403, 568, 556, 12737, 539, 676, 24467, 855, 1152, 827, 476, 272, 10759, 540, 13247, 2965, 10301, 519, 6864, 11717, 12422, 269, 1234, 8408, 540, 519, 6864, 11717, 9832, 689, 476, 271, 269, 271, 2190, 6279, 829, 1032, 538, 7147, 543, 1715, 6792, 547, 476, 277, 6279, 829, 1032, 538, 2694, 540, 17857, 267, 855, 7366, 540, 5215, 540, 1296, 540, 11811, 786, 581, 2877, 547, 25579, 880, 621, 1394, 547, 922, 2157, 540, 519, 2038, 476, 5197, 271, 779, 563, 288, 3493, 548, 1540, 13985, 11717, 786, 18748, 5253, 18242, 454, 1103, 606, 2376, 2854, 676, 23718, 26436, 2223, 1548, 19732, 839, 547, 519, 29268, 1879, 519, 4826, 779, 717, 821, 9495, 1352, 2829, 968, 2252, 789, 1810, 1406, 2569, 23028, 543, 519, 6864, 11717, 568, 27071, 267, 1426, 6990, 786, 581, 25340, 4299, 1472, 519, 1158, 269, 769, 519, 4947, 5756, 713, 3500, 18286, 6433, 786, 11200, 1175, 607, 519, 1158, 2115, 547, 2333, 1426, 2504, 676, 476, 2568, 2600, 267, 2687, 547, 519, 2136, 8315, 267, 547, 3049, 811, 982, 8370, 5479, 1004, 676, 4571, 10601, 3034, 22069, 1903, 547, 513, 3493, 548, 1540, 13985, 11717, 454, 22069, 1903, 286, 26478, 666, 2901, 18359, 1216, 543, 8831, 519, 1272, 540, 519, 6864, 11717, 610, 3442, 547, 632, 10968, 621, 269, 26478, 666, 2007, 4514, 19401, 952, 789, 2196, 856, 540, 1216, 267, 855, 519, 1942, 814, 547, 581, 5462, 1317, 5555, 4514, 543, 4514, 19401, 1223, 1942, 811, 982, 519, 4747, 689, 519, 7031, 563, 763, 3345, 26111, 16140, 4248, 11094, 10588, 538, 7147, 814, 5189, 513, 1007, 1788, 547, 18359, 1216, 269, 12160, 908, 6705, 1332, 8970, 609, 1175, 936, 3368, 540, 519, 1216, 789, 1131, 7363, 2154, 547, 11125, 622, 519, 4610, 1210, 22141, 20057, 6840, 2864, 982, 519, 1216, 10438, 30620, 1062, 543, 789, 2030, 7031, 20991, 6306, 547, 948, 18359, 1216, 269, 3509, 6705, 616, 7446, 519, 3819, 1633, 8105, 1505, 799, 3096, 7031, 602, 616, 10980, 15033, 543, 18359, 7509, 1510, 12555, 269, 6270, 7031, 1331, 3141, 25154, 543, 5162, 10568, 267, 855, 891, 7031, 3132, 1447, 4747, 982, 7031, 689, 11125, 730, 8105, 267, 865, 2604, 568, 593, 1082, 6705, 547, 1832, 23028, 563, 763, 29142, 718, 8403, 13985, 11717, 543, 4826, 7126, 454, 1432, 568, 8345, 547, 519, 29142, 718, 8403, 13985, 11717, 568, 849, 8345, 547, 6864, 28875, 538, 4000, 267, 5607, 543, 519, 631, 728, 770, 269, 11088, 267, 1175, 607, 519, 2551, 540, 938, 3618, 568, 1011, 5317, 267, 938, 6864, 28875, 616, 4742, 13572, 543, 30701, 267, 2921, 5215, 540, 1296, 547, 1201, 650, 269, 1284, 991, 547, 18359, 938, 15780, 547, 2844, 1426, 2504, 585, 606, 2810, 2551, 269, 769, 17857, 543, 27228, 267, 15780, 12851, 547, 519, 1857, 269, 4826, 2924, 616, 11292, 547, 3959, 5411, 676, 519, 1533, 267, 799, 3651, 513, 1978, 2179, 602, 666, 581, 16155, 1031, 1765, 268, 8117, 1018, 779, 2139, 593, 1957, 1419, 20489, 1018, 779, 2451, 538, 519, 2666, 256, 26478, 1419, 1745, 519, 1216, 568, 16155, 741, 338, 547, 946, 2394, 621, 779, 8854, 2336, 299, 19313, 26436, 3081, 267, 968, 28775, 6013, 538, 2029, 282, 6705, 1397, 803, 21236, 8924, 602, 3950, 1216, 946, 865, 10502, 602, 607, 2370, 607, 513, 20870, 540, 606, 10759, 666, 581, 4294, 547, 741, 7031, 269, 769, 2051, 2421, 267, 17857, 267, 31701, 17793, 327, 332, 267, 945, 11396, 476, 1789, 267, 1822, 14143, 540, 10568, 543, 8970, 267, 11125, 919, 609, 1079, 5479, 17529, 540, 1216, 21496, 269, 1261, 12523, 1851, 1010, 3484, 327, 1343, 606, 8668, 27637, 945, 25173, 1239, 547, 1832, 1010, 11729, 6619, 540, 1010, 19394, 19401, 3034, 20360, 10787, 916, 29799, 15867, 1186, 454, 1103, 519, 2250, 1896, 1296, 1082, 6705, 723, 19622, 689, 7693, 8105, 267, 682, 2084, 741, 2244, 547, 2842, 1648, 269, 31072, 2605, 542, 320, 267, 7147, 267, 22070, 540, 700, 889, 321, 1442, 267, 24380, 2917, 4446, 32200, 682, 1162, 2842, 2924, 593, 1010, 2244, 547, 606, 1648, 2754, 269, 634, 2469, 2557, 8255, 827, 1269, 1015, 267, 1822, 513, 1032, 829, 17081, 269, 4446, 32200, 3081, 646, 666, 1406, 1216, 1010, 2244, 15042, 865, 585, 930, 1004, 267, 2842, 568, 513, 3076, 5202, 563, 18550, 476, 1321, 267, 476, 1001, 278, 693, 476, 1556, 281, 7906, 10681, 454, 2710, 596, 723, 1022, 1239, 538, 14621, 547, 519, 4890, 4320, 540, 1216, 2221, 607, 3379, 547, 519, 476, 5197, 271, 779, 286, 594, 1265, 621, 31029, 547, 1589, 602, 2094, 982, 267, 938, 2551, 538, 3013, 814, 2799, 676, 827, 476, 27768, 267, 1822, 267, 1822, 267, 1247, 938, 1216, 814, 8519, 269, 594, 1131, 899, 1808, 3877, 585, 513, 7521, 594, 786, 581, 2348, 538, 606, 2825, 6940, 1576, 594, 993, 2921, 269, 11289, 596, 563, 18550, 476, 1691, 267, 476, 1001, 278, 693, 476, 275, 281, 3451, 10681, 454, 296, 18085, 2285, 596, 2338, 855, 713, 568, 606, 21626, 689, 606, 2376, 11331, 29142, 718, 8403, 13985, 11717, 693, 5291, 2517, 4178, 9884, 622, 6275, 743, 31638, 2593, 454, 763, 3178, 547, 519, 1216, 3349, 540, 519, 29142, 718, 8403, 13985, 11717, 9775, 689, 4890, 2627, 11166, 547, 936, 476, 5611, 7397, 630, 4335, 3952, 1040, 13575, 267, 519, 6864, 11717, 568, 1336, 689, 476, 1428, 547, 476, 3445, 7397, 630, 2004, 547, 476, 4968, 3952, 264, 2630, 519, 2244, 2627, 269, 634, 338, 18260, 11098, 849, 9775, 7494, 269, 4014, 519, 3328, 15459, 11098, 568, 827, 476, 2568, 7397, 630, 1220, 3952, 1070, 621, 20489, 476, 4968, 7397, 630, 272, 267, 1822, 3952, 264, 538, 7178, 7266, 1537, 27228, 543, 568, 1152, 835, 2389, 5460, 602, 538, 1454, 540, 7262, 7147, 269, 5221, 1312, 519, 15459, 11098, 543, 519, 616, 531, 6708, 540, 519, 29142, 718, 8403, 13985, 11717, 568, 3152, 538, 27228, 267, 519, 1533, 6589, 585, 1079, 22188, 540, 519, 4320, 540, 29142, 718, 8403, 15780, 267, 4553, 676, 7147, 543, 17857, 267, 1142, 609, 827, 476, 1015, 2600, 1848, 0, 6624, 2846, 757, 630, 704, 4257, 513, 1804, 5354, 264, 3494, 538, 634, 2065, 12472, 269, 1215, 1281, 713, 5635, 609, 1018, 519, 6426, 11414, 286, 901, 2110, 2376, 568, 689, 519, 4168, 543, 7442, 860, 7497, 12080, 563, 288, 8390, 593, 519, 6249, 540, 4720, 568, 519, 2065, 4720, 269, 898, 2829, 602, 2696, 15748, 1272, 593, 3618, 543, 4847, 12105, 3741, 547, 3142, 812, 547, 1141, 646, 568, 1700, 16673, 2041, 609, 513, 2370, 948, 689, 2696, 1934, 543, 972, 269, 2311, 2547, 713, 3069, 2882, 2696, 269, 1809, 713, 3069, 729, 2919, 538, 851, 676, 6426, 18468, 1004, 945, 2219, 602, 4720, 1185, 930, 20519, 269, 769, 1840, 267, 621, 568, 606, 3801, 547, 2626, 519, 1082, 2042, 4540, 711, 1152, 538, 519, 8093, 2594, 855, 849, 609, 875, 1272, 1223, 11214, 14477, 1106, 856, 540, 4986, 269, 5221, 540, 2042, 899, 713, 267, 930, 3494, 789, 666, 581, 6045, 676, 3274, 4946, 2696, 547, 519, 4605, 281, 2696, 9859, 4720, 563, 2690, 1346, 945, 3180, 547, 519, 6426, 607, 519, 2262, 540, 2696, 267, 519, 2065, 4720, 1058, 711, 581, 513, 14323, 4781, 269, 634, 6426, 3081, 267, 968, 15447, 602, 519, 28789, 568, 2696, 269, 898, 568, 646, 945, 1500, 721, 2507, 892, 630, 11679, 531, 332, 476, 1911, 281, 274, 1040, 634, 14644, 999, 1533, 602, 2696, 2813, 269, 2696, 1767, 267, 968, 4131, 972, 581, 2507, 892, 543, 972, 729, 269, 634, 14644, 999, 3717, 540, 519, 3860, 2262, 540, 2696, 269, 1879, 2696, 14753, 267, 621, 4386, 269, 1261, 1767, 968, 4131, 972, 581, 892, 543, 621, 729, 865, 269, 898, 1281, 711, 2161, 267, 968, 4131, 972, 581, 513, 3500, 1646, 998, 606, 12105, 1184, 3034, 18661, 1767, 538, 19606, 476, 272, 281, 2918, 267, 968, 4131, 721, 1118, 812, 538, 938, 3239, 267, 538, 938, 6010, 8864, 267, 543, 1577, 873, 4341, 936, 519, 3165, 540, 519, 4262, 543, 519, 5017, 540, 519, 2011, 267, 936, 519, 13184, 267, 936, 782, 519, 3618, 267, 543, 936, 782, 519, 7068, 602, 1847, 2059, 519, 2666, 1848, 634, 12355, 2262, 585, 968, 24708, 892, 538, 713, 14235, 267, 543, 538, 14235, 476, 1839, 1141, 2696, 2306, 519, 581, 6814, 267, 568, 968, 553, 1695, 1848, 898, 1797, 547, 798, 267, 960, 267, 1118, 267, 3132, 269, 901, 568, 711, 3274, 519, 3908, 12355, 1620, 540, 12105, 3741, 563, 763, 2244, 2831, 941, 1500, 8335, 982, 812, 269, 634, 2831, 941, 1500, 689, 519, 2666, 267, 855, 812, 729, 1500, 2047, 676, 2696, 281, 968, 1492, 28789, 2696, 4646, 519, 812, 689, 519, 7452, 540, 519, 2666, 543, 3826, 1117, 883, 1010, 19911, 337, 2812, 519, 7362, 540, 1272, 267, 543, 519, 812, 2968, 513, 2713, 1373, 892, 630, 7049, 269, 476, 273, 281, 278, 1040, 12472, 2829, 602, 812, 7960, 689, 1272, 3029, 602, 2919, 538, 519, 5836, 269, 3371, 267, 2696, 1500, 812, 689, 519, 7452, 540, 519, 2666, 1700, 2254, 519, 1216, 540, 519, 5836, 563, 2252, 4720, 568, 3020, 543, 519, 6426, 568, 3020, 267, 1287, 875, 568, 519, 5250, 540, 18832, 6045, 286, 2701, 729, 2813, 856, 540, 835, 540, 14088, 779, 28937, 630, 7049, 269, 476, 273, 281, 2420, 1040, 1703, 568, 1100, 1259, 547, 2491, 713, 952, 519, 2065, 4720, 568, 3020, 282, 602, 568, 267, 8259, 596, 1616, 547, 2161, 602, 18832, 7012, 1406, 1500, 689, 14088, 779, 2427, 269, 3973, 267, 952, 596, 798, 602, 267, 596, 616, 6065, 1154, 519, 1360, 2262, 540, 2696, 563, 9827, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 276, 281, 23862, 6874, 15957, 2401, 5516, 910, 4804, 6168, 27639, 543, 18877, 692, 5331, 596, 616, 2921, 1416, 540, 513, 4816, 269, 898, 781, 971, 513, 2462, 5539, 256, 1411, 723, 547, 3049, 873, 267, 1689, 741, 1019, 3639, 267, 948, 873, 3207, 267, 543, 1832, 873, 2922, 269, 3767, 4952, 3257, 782, 602, 1247, 849, 1818, 2386, 789, 1451, 827, 741, 1378, 2528, 543, 5389, 269, 2334, 781, 1018, 10867, 2389, 15957, 2401, 1416, 1797, 950, 621, 2501, 547, 12391, 585, 7111, 1977, 543, 7087, 9002, 780, 1103, 1082, 7087, 4529, 267, 1519, 1346, 540, 4516, 1141, 12832, 1961, 769, 324, 3150, 9539, 1662, 1568, 267, 3885, 3494, 602, 12256, 543, 20854, 991, 811, 982, 1175, 2168, 1416, 269, 1358, 991, 5289, 29454, 1932, 269, 901, 2882, 3450, 873, 827, 741, 11937, 267, 1893, 267, 9821, 267, 543, 2081, 540, 1272, 269, 1635, 3257, 713, 267, 891, 2370, 3283, 666, 1332, 909, 4743, 10583, 540, 945, 789, 616, 543, 4448, 547, 741, 2146, 780, 3383, 875, 798, 649, 1683, 1434, 10867, 2389, 15957, 2401, 1416, 1247, 18245, 1114, 4529, 286, 2913, 781, 1413, 693, 930, 1806, 1384, 272, 269, 5678, 281, 24935, 707, 5065, 1893, 1472, 9002, 2337, 873, 1831, 5432, 609, 922, 4992, 543, 18819, 269, 4634, 952, 596, 1810, 1405, 917, 1454, 540, 707, 18577, 1893, 267, 6031, 2241, 1913, 610, 2453, 12523, 256, 1280, 3236, 267, 2119, 13465, 2757, 561, 1638, 28320, 610, 30053, 538, 707, 17174, 1893, 1354, 21557, 563, 273, 269, 12267, 281, 570, 2454, 2984, 568, 1776, 1390, 1259, 547, 1780, 1524, 2245, 269, 19457, 8941, 827, 2831, 267, 12325, 267, 610, 3140, 2621, 13462, 9002, 547, 741, 2250, 269, 9578, 267, 6947, 547, 2984, 22262, 2634, 1646, 543, 9345, 256, 3807, 3314, 547, 946, 2085, 29003, 6386, 585, 12256, 543, 20854, 563, 274, 269, 3203, 1299, 14958, 281, 29130, 1507, 4739, 3785, 1210, 2067, 2326, 899, 17207, 267, 10007, 267, 610, 10036, 269, 1452, 2238, 786, 8141, 5876, 543, 4001, 3214, 827, 741, 1604, 8195, 269, 9320, 1711, 5326, 13906, 7129, 1927, 267, 7713, 1946, 789, 2811, 1271, 538, 707, 2528, 563, 275, 269, 5253, 281, 12465, 3536, 1419, 3180, 1713, 2495, 1369, 11031, 269, 26451, 891, 538, 6980, 27875, 9002, 547, 1007, 16919, 543, 12857, 873, 547, 741, 11477, 6561, 269, 2142, 2386, 547, 2015, 1022, 8192, 9993, 610, 11959, 950, 8600, 8286, 563, 276, 269, 17583, 547, 7186, 281, 3509, 7087, 9082, 1294, 2470, 607, 606, 1898, 851, 540, 1272, 269, 11559, 9205, 1404, 676, 9683, 2199, 11614, 610, 10651, 269, 8672, 856, 2371, 267, 5017, 267, 610, 7786, 267, 7713, 741, 5107, 538, 707, 5117, 563, 277, 269, 21727, 1299, 9877, 1145, 281, 17546, 6568, 543, 11587, 2509, 1866, 998, 9543, 4205, 1282, 3232, 13467, 269, 11512, 875, 8156, 3025, 609, 2463, 9356, 707, 2418, 607, 606, 7087, 1268, 780, 8855, 267, 1169, 1920, 814, 2189, 2853, 543, 4978, 269, 1548, 6927, 1034, 568, 3246, 15962, 267, 11215, 5054, 1141, 9002, 1745, 12595, 543, 6956, 269, 1306, 2104, 3401, 267, 1128, 3739, 11348, 538, 938, 3638, 12583, 5036, 873, 909, 585, 1967, 538, 2221, 781, 3309, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 301, 545, 1961, 769, 324, 3150, 9539, 1662, 568, 606, 7087, 11001, 267, 19829, 267, 543, 2146, 11832, 609, 936, 476, 1015, 1296, 540, 1995, 2324, 609, 7087, 1453, 267, 6107, 267, 543, 2950, 269, 18004, 543, 6659, 538, 17842, 267, 12832, 1961, 568, 513, 4759, 540, 4790, 766, 8235, 3689, 13780, 538, 15521, 476, 280, 8513, 543, 6585, 6935, 547, 519, 3338, 267, 7297, 267, 543, 1004, 2059, 519, 2296, 543, 28763, 1731, 698, 23449, 23117, 269, 2060, 513, 1912, 6185, 269, 630, 322, 663, 28371, 264, 538, 4317, 808, 583, 823, 4065, 543, 513, 9457, 779, 538, 7216, 19974, 2090, 267, 1352, 568, 13730, 827, 5885, 7087, 1582, 24148, 543, 2686, 32134, 267, 3226, 538, 519, 2796, 540, 6689, 543, 6107, 269, 12832, 1961, 779, 1585, 1382, 543, 2259, 4690, 2992, 1200, 5030, 1995, 607, 606, 7087, 1268, 593, 513, 2619, 540, 2686, 11028, 3825, 543, 1565, 563, 2026, 606, 19608, 7905, 3444, 22190, 31212, 1063, 519, 3506, 540, 7216, 19974, 5525, 543, 4132, 543, 15272, 5516, 693, 17842, 27062, 2160, 267, 12832, 1961, 5012, 5499, 2146, 2861, 1382, 593, 519, 3584, 540, 7087, 9659, 267, 2038, 1059, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14813, 656, 6874, 15957, 2401, 5516, 257, 607, 851, 540, 834, 3633, 24102, 1315, 12140, 1315, 20946, 1315, 7216, 19974, 630, 514, 743, 269, 18014, 1299, 15206, 29215, 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, 7170, 281, 1879, 667, 542, 903, 639, 595, 877, 547, 3733, 14480, 613, 976, 1299, 28463, 976, 10794, 692, 296, 2760, 4397, 547, 1265, 8885, 538, 519, 22984, 540, 513, 3909, 1995, 1247, 4730, 14480, 613, 976, 1299, 28463, 976, 630, 291, 333, 291, 264, 693, 1250, 2199, 3014, 4558, 267, 855, 602, 781, 4010, 1018, 5949, 950, 938, 1895, 4956, 547, 6451, 930, 5259, 13299, 2609, 883, 938, 5859, 269, 9741, 1705, 649, 917, 267, 938, 17055, 1686, 10889, 1185, 1044, 2542, 909, 593, 667, 542, 903, 639, 267, 519, 3504, 5259, 5601, 540, 9174, 267, 7908, 2032, 267, 543, 32408, 269, 1261, 6069, 10962, 513, 1915, 6273, 676, 667, 542, 903, 639, 267, 2347, 609, 20437, 7099, 23638, 1063, 552, 25045, 18319, 543, 32716, 1107, 1175, 899, 519, 25976, 5128, 780, 2026, 5716, 267, 649, 941, 782, 827, 8508, 13395, 4690, 543, 9644, 267, 865, 649, 798, 557, 2212, 14140, 883, 3695, 875, 938, 3197, 1131, 2746, 547, 971, 606, 28430, 4137, 269, 1284, 18705, 14969, 1394, 560, 1559, 5473, 2250, 13341, 609, 1864, 267, 1142, 835, 811, 21494, 982, 519, 2063, 269, 3776, 3014, 4487, 5578, 2685, 530, 913, 891, 2984, 1927, 267, 28285, 538, 513, 6264, 13675, 689, 9039, 824, 982, 667, 542, 903, 639, 5128, 1282, 835, 12556, 995, 8400, 780, 5978, 6788, 941, 7620, 1558, 609, 17409, 543, 10761, 607, 667, 542, 903, 639, 1178, 1027, 721, 609, 1010, 4527, 267, 26311, 856, 2941, 1190, 5666, 540, 1412, 15965, 710, 22060, 262, 630, 1348, 281, 10464, 9174, 1040, 1717, 267, 1919, 3576, 513, 2490, 950, 646, 18796, 602, 649, 6961, 6000, 17709, 540, 1010, 3870, 998, 5051, 5906, 2591, 269, 2311, 1101, 267, 621, 8604, 20027, 2614, 282, 1310, 782, 267, 649, 941, 4810, 7045, 3464, 267, 1031, 547, 6849, 829, 559, 748, 8062, 269, 1809, 4166, 2614, 267, 649, 1336, 6000, 7231, 609, 32117, 4539, 1813, 547, 667, 542, 903, 639, 262, 627, 15501, 673, 2470, 780, 3080, 4090, 267, 649, 9364, 581, 14120, 11802, 936, 513, 9583, 31837, 25236, 762, 21677, 267, 1152, 547, 723, 667, 542, 903, 639, 8038, 883, 513, 9420, 30270, 519, 1985, 267, 5309, 5109, 721, 585, 5634, 1098, 326, 11306, 610, 3274, 1317, 646, 5433, 899, 621, 269, 901, 24081, 1890, 3366, 547, 8082, 1369, 938, 5428, 267, 4929, 7440, 543, 1193, 1057, 1851, 2828, 945, 1185, 2899, 10150, 741, 11044, 1510, 4250, 540, 17062, 1427, 9084, 780, 2005, 7012, 1405, 2394, 594, 16686, 2390, 513, 16618, 11454, 6131, 547, 667, 542, 903, 639, 602, 594, 7691, 519, 3020, 3178, 540, 938, 32252, 3512, 269, 2755, 4974, 3504, 5931, 1369, 519, 11454, 267, 594, 4362, 6589, 24223, 2147, 2833, 5185, 676, 1346, 945, 11402, 519, 1698, 878, 1190, 25976, 269, 898, 2968, 2312, 602, 4300, 2084, 1864, 2838, 1945, 2484, 3152, 982, 19831, 23258, 610, 9589, 19038, 3363, 1107, 621, 2877, 6568, 543, 1620, 780, 30265, 539, 609, 713, 1702, 267, 594, 8120, 547, 1250, 8284, 7045, 3464, 543, 3838, 1250, 4681, 269, 8625, 267, 649, 21947, 667, 542, 903, 639, 267, 14344, 1010, 12242, 2470, 543, 11589, 14696, 585, 1312, 519, 7772, 543, 4245, 646, 1185, 1655, 15735, 2390, 721, 269, 769, 3257, 865, 267, 649, 7307, 547, 10880, 513, 3666, 267, 13321, 938, 26093, 7886, 883, 12300, 3283, 4904, 609, 23274, 543, 2208, 780, 8269, 22162, 593, 713, 1995, 6026, 803, 3407, 4030, 827, 1480, 2470, 543, 519, 2956, 540, 4466, 10103, 8015, 14784, 269, 13518, 899, 5171, 538, 2228, 15473, 1419, 3605, 267, 18167, 2620, 883, 13395, 4690, 666, 1291, 547, 9670, 4296, 543, 7096, 1483, 3074, 269, 6884, 267, 1256, 519, 1034, 1769, 27329, 18129, 666, 7866, 6456, 18408, 952, 649, 1935, 873, 609, 7279, 543, 1930, 8186, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 24685, 5259, 13299, 267, 945, 729, 519, 5601, 540, 9174, 267, 1634, 585, 1010, 12242, 2470, 540, 7772, 543, 10143, 3235, 560, 6470, 607, 1134, 607, 22266, 543, 1025, 4193, 30270, 888, 291, 542, 903, 639, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 3848, 476, 280, 281, 27684, 3203, 910, 8058, 532, 11146, 998, 27065, 2439, 5970, 596, 2479, 2938, 5961, 6537, 676, 11655, 540, 707, 5172, 27568, 267, 9413, 267, 7641, 2982, 267, 610, 3381, 3756, 286, 9320, 596, 1256, 6836, 5373, 707, 1378, 4528, 540, 891, 11537, 3197, 256, 1403, 865, 267, 1287, 596, 4312, 2907, 4810, 10178, 1148, 256, 2913, 781, 4685, 883, 1018, 10178, 1148, 2731, 1797, 543, 1946, 1004, 1711, 621, 780, 3383, 267, 1018, 568, 10178, 1148, 19037, 286, 5994, 2542, 513, 9735, 1433, 827, 9589, 7068, 1572, 834, 313, 3073, 976, 2437, 543, 1631, 596, 1616, 547, 2721, 1346, 2098, 3073, 976, 1759, 593, 875, 789, 616, 4330, 538, 519, 1650, 269, 2334, 781, 10178, 1148, 1317, 596, 4769, 1405, 6427, 519, 2098, 3073, 976, 282, 2576, 3116, 1705, 269, 1879, 5159, 1711, 10178, 1148, 267, 789, 1491, 6667, 689, 4540, 2984, 267, 3197, 267, 610, 10600, 1500, 676, 1866, 630, 3697, 4589, 267, 3014, 9367, 267, 610, 14318, 801, 3930, 1040, 1358, 1397, 741, 25621, 585, 713, 960, 1247, 4946, 741, 2189, 5905, 2439, 3086, 267, 1577, 781, 2911, 827, 1079, 4277, 10530, 4448, 547, 708, 23550, 1919, 649, 2648, 1384, 265, 769, 476, 9264, 271, 267, 8176, 595, 1446, 321, 2051, 2023, 1767, 267, 834, 296, 2466, 566, 568, 519, 2094, 6135, 1106, 540, 1166, 19495, 1701, 898, 10522, 602, 2870, 1945, 2147, 547, 1945, 596, 899, 17188, 2463, 547, 922, 3312, 17082, 563, 265, 589, 2370, 3787, 4505, 267, 538, 476, 14378, 275, 267, 661, 755, 864, 14863, 326, 749, 5206, 267, 834, 296, 2466, 566, 568, 513, 2186, 540, 1148, 1652, 1166, 19495, 1701, 1261, 5921, 602, 25718, 2576, 3116, 1522, 1745, 4443, 982, 4947, 909, 609, 938, 1378, 8631, 855, 1869, 9727, 7071, 780, 4322, 4555, 948, 721, 1174, 1946, 1082, 5159, 2972, 1818, 10178, 1148, 22924, 2636, 873, 547, 2769, 15131, 543, 6612, 21176, 269, 1717, 267, 972, 781, 2141, 835, 1271, 3364, 547, 3314, 281, 1210, 10677, 539, 2326, 2115, 13170, 689, 945, 1197, 22595, 873, 269, 1924, 267, 952, 596, 6999, 547, 2671, 707, 10178, 13144, 15597, 267, 2327, 596, 1246, 3652, 1305, 676, 519, 5411, 547, 2149, 741, 2924, 780, 2414, 2040, 909, 267, 1934, 781, 513, 1187, 1249, 281, 9894, 596, 917, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8415, 12557, 2553, 547, 8190, 707, 1648, 1377, 1247, 8781, 3170, 689, 707, 25427, 338, 267, 1394, 267, 855, 1206, 267, 543, 14159, 1858, 269, 6987, 2400, 1793, 3784, 786, 11338, 581, 1500, 2009, 563, 9827, 4988, 568, 519, 1360, 1655, 942, 547, 8532, 19719, 543, 28916, 563, 9617, 519, 1292, 3896, 568, 519, 1152, 1747, 547, 1205, 12128, 5191, 269, 901, 568, 2944, 547, 1118, 519, 12128, 5191, 1982, 811, 6578, 7874, 585, 519, 1982, 779, 3755, 563, 30048, 5191, 568, 2139, 585, 585, 1269, 4391, 563, 2791, 4309, 513, 3102, 12128, 5191, 25156, 543, 723, 8216, 1569, 547, 782, 519, 6119, 563, 4322, 6119, 616, 6035, 585, 4647, 267, 543, 596, 666, 946, 1022, 31942, 547, 1569, 873, 269, 1717, 621, 779, 711, 519, 1152, 4324, 269, 589, 476, 2568, 6377, 2724, 25746, 22059, 568, 6035, 563, 763, 12128, 5191, 1982, 3091, 513, 2688, 5314, 1505, 602, 11226, 538, 6923, 27955, 3987, 1813, 547, 519, 1249, 602, 519, 4191, 543, 2589, 540, 7392, 476, 273, 15847, 1004, 8428, 269, 3962, 3184, 540, 519, 1433, 12128, 5191, 779, 1871, 1790, 871, 3042, 2994, 585, 3987, 2490, 19925, 7727, 16367, 1344, 269, 0, 289, 1678, 4533, 1097, 568, 513, 3656, 1184, 602, 568, 5497, 547, 948, 2043, 543, 4213, 602, 616, 8572, 547, 2628, 741, 22440, 269, 898, 568, 513, 5313, 1184, 267, 799, 1797, 621, 568, 18170, 676, 5313, 4031, 543, 6042, 269, 1879, 2576, 6119, 585, 28153, 267, 789, 616, 2111, 547, 1205, 8323, 689, 741, 22440, 1247, 519, 5480, 2337, 547, 7017, 519, 22440, 609, 741, 5491, 832, 563, 2467, 616, 1079, 3119, 2010, 540, 28153, 602, 2043, 666, 3758, 585, 1107, 3848, 476, 278, 543, 3848, 476, 1724, 269, 3848, 476, 278, 28153, 568, 1634, 607, 513, 968, 331, 1172, 9179, 892, 28153, 267, 543, 3322, 9513, 1055, 7221, 547, 2628, 5491, 832, 269, 3848, 476, 1724, 28153, 267, 593, 519, 824, 1688, 267, 568, 1634, 607, 513, 968, 516, 32360, 892, 28153, 267, 543, 3322, 2870, 513, 7963, 23231, 618, 1544, 602, 2636, 519, 1367, 547, 2628, 1055, 741, 22440, 936, 513, 1974, 540, 942, 563, 763, 22436, 543, 32539, 540, 7813, 4533, 1097, 454, 3080, 540, 519, 1292, 5383, 540, 28153, 568, 602, 621, 666, 1683, 8323, 689, 11566, 7963, 269, 3414, 28153, 267, 2043, 616, 1419, 2111, 547, 11166, 1978, 2010, 540, 22440, 267, 799, 1797, 789, 616, 1100, 3476, 3743, 585, 9878, 873, 269, 3958, 267, 28153, 11151, 3841, 3218, 2962, 1996, 519, 1367, 267, 1519, 13230, 21959, 880, 906, 267, 18275, 267, 543, 824, 4015, 3527, 563, 4913, 267, 972, 616, 849, 19363, 547, 25937, 585, 28153, 269, 2290, 540, 519, 3119, 11393, 568, 519, 1764, 602, 621, 666, 723, 593, 519, 1367, 779, 5491, 6060, 269, 7813, 4533, 1097, 666, 2611, 593, 513, 5491, 1867, 585, 909, 547, 4557, 1296, 267, 1818, 621, 2352, 547, 3489, 5491, 538, 519, 2104, 269, 3958, 267, 972, 616, 3790, 2404, 609, 25937, 585, 28153, 267, 971, 607, 5480, 12375, 543, 18607, 779, 12375, 267, 799, 666, 581, 8101, 563, 2691, 7813, 4533, 1097, 2904, 2142, 519, 9406, 14893, 454, 289, 1678, 4533, 1097, 568, 711, 519, 1318, 3903, 585, 3025, 267, 543, 972, 616, 824, 3681, 2139, 585, 5883, 7963, 269, 1717, 267, 972, 616, 1978, 6381, 1141, 28153, 949, 581, 519, 1655, 1576, 540, 2962, 563, 3080, 3510, 1141, 28153, 949, 581, 3617, 568, 950, 606, 1367, 568, 6849, 11566, 7963, 602, 789, 616, 8572, 547, 2628, 1055, 269, 901, 1522, 1331, 5491, 3556, 7963, 267, 2564, 12014, 267, 543, 824, 2010, 540, 22440, 602, 616, 4929, 2883, 8833, 269, 6271, 3510, 1141, 28153, 949, 581, 3617, 568, 950, 606, 1367, 568, 6849, 3841, 3218, 2962, 267, 971, 607, 13230, 21959, 7321, 610, 3959, 1065, 1601, 11970, 563, 763, 7813, 4533, 1097, 6713, 454, 763, 28153, 1184, 666, 581, 1950, 267, 543, 3322, 1896, 3268, 543, 4170, 269, 13575, 267, 519, 1184, 5956, 609, 513, 15360, 609, 513, 28153, 18607, 945, 666, 948, 519, 1367, 3313, 952, 28153, 568, 519, 1318, 3903, 585, 741, 3510, 269, 1403, 519, 1367, 16976, 547, 8399, 609, 28153, 267, 789, 786, 1287, 3758, 513, 21936, 609, 519, 28153, 5480, 269, 901, 21936, 786, 1683, 2143, 1344, 827, 519, 1367, 779, 22440, 267, 7221, 267, 543, 2883, 1686, 563, 5629, 519, 21936, 814, 1044, 19429, 267, 519, 1367, 786, 7390, 513, 5870, 609, 741, 5491, 832, 267, 1634, 607, 513, 476, 30130, 5870, 269, 2311, 713, 5870, 267, 519, 5491, 832, 786, 723, 519, 4316, 547, 2307, 2055, 543, 1865, 519, 1367, 779, 2883, 3510, 269, 1403, 519, 1367, 568, 25937, 585, 3848, 476, 1724, 28153, 267, 789, 786, 849, 960, 609, 741, 18607, 543, 519, 5480, 547, 1020, 513, 23231, 618, 1544, 602, 2636, 873, 547, 2628, 1055, 741, 22440, 936, 513, 1974, 540, 942, 269, 28150, 2417, 4030, 827, 519, 1641, 1210, 713, 5227, 5007, 2707, 269, 875, 547, 7017, 513, 7963, 267, 3606, 1344, 543, 1007, 5380, 593, 519, 1888, 4988, 538, 713, 2376, 563, 289, 1678, 4533, 1097, 666, 581, 513, 3532, 1907, 585, 5883, 11566, 7963, 543, 3478, 513, 4195, 2883, 1376, 269, 1717, 267, 621, 949, 711, 581, 519, 1318, 3903, 585, 3025, 269, 1403, 596, 616, 10010, 609, 30313, 720, 762, 22440, 267, 621, 568, 1271, 547, 3717, 609, 513, 11727, 28153, 18607, 945, 666, 948, 596, 1174, 707, 3681, 543, 1118, 606, 5483, 3375, 827, 519, 1655, 1576, 540, 2962, 585, 707, 3510, 563, 310, 880, 547, 1451, 811, 827, 713, 1888, 286, 7457, 519, 1644, 9708, 649, 4076, 6074, 547, 9148, 707, 2542, 1995, 281, 0, 12749, 4496, 2046, 3684, 18261, 281, 634, 17453, 2046, 13333, 1210, 519, 3741, 540, 5714, 11707, 269, 589, 17453, 2046, 3684, 12346, 593, 623, 26696, 779, 1876, 267, 799, 2829, 602, 2604, 4294, 693, 835, 1448, 538, 606, 22424, 816, 1043, 5714, 568, 10299, 547, 824, 2798, 609, 519, 1482, 8515, 269, 634, 17453, 2046, 13408, 513, 7008, 540, 26561, 1107, 513, 4130, 835, 1141, 519, 2604, 568, 4294, 543, 513, 3677, 835, 1141, 519, 3196, 568, 25116, 269, 634, 2604, 25116, 593, 519, 5714, 538, 519, 4130, 12718, 4991, 28659, 538, 519, 3677, 12718, 267, 7551, 2870, 513, 1804, 3196, 2614, 547, 2046, 267, 3337, 267, 610, 1106, 2326, 269, 4855, 1256, 811, 3877, 593, 19755, 2046, 3684, 563, 1432, 568, 513, 4496, 16826, 532, 2046, 3684, 286, 634, 2930, 4214, 540, 4496, 16826, 532, 568, 602, 621, 568, 513, 4411, 8108, 1184, 602, 3096, 1164, 3196, 543, 5924, 3432, 547, 18385, 5372, 519, 3337, 540, 513, 4062, 540, 4496, 269, 769, 519, 2013, 540, 6656, 4496, 16826, 532, 267, 519, 32179, 568, 6656, 4496, 269, 7102, 3118, 267, 4496, 16826, 532, 6191, 666, 849, 581, 1031, 585, 5911, 543, 824, 2010, 540, 4496, 269, 15439, 2322, 267, 519, 3684, 3096, 513, 5884, 547, 1118, 519, 3337, 540, 519, 4496, 269, 5696, 817, 267, 5374, 267, 543, 11956, 616, 930, 540, 519, 1034, 3622, 1031, 8407, 269, 634, 16826, 532, 1184, 949, 1413, 1114, 4470, 593, 1018, 568, 1373, 3812, 267, 855, 519, 5546, 616, 3622, 1500, 689, 6656, 4496, 267, 5116, 593, 513, 16826, 532, 5884, 543, 2322, 883, 513, 2046, 563, 763, 16669, 2872, 568, 513, 2462, 2344, 585, 519, 4496, 16826, 532, 2872, 282, 19037, 267, 519, 946, 540, 4496, 21753, 538, 519, 7082, 11418, 2872, 568, 8375, 538, 713, 2029, 5108, 269, 901, 1797, 602, 3592, 782, 10909, 602, 946, 7082, 11418, 538, 519, 9036, 7048, 593, 3688, 1500, 676, 4496, 16826, 532, 6191, 269, 4033, 2370, 6080, 602, 3132, 3688, 971, 607, 7622, 543, 14446, 14233, 666, 2527, 3132, 2472, 609, 519, 948, 540, 4496, 16826, 532, 2046, 525, 563, 306, 728, 3259, 540, 19755, 851, 281, 2667, 6058, 555, 339, 621, 568, 18761, 476, 3445, 4113, 1279, 320, 476, 276, 476, 1015, 268, 2393, 476, 272, 3766, 879, 613, 1970, 28003, 5374, 6676, 267, 519, 19755, 2577, 514, 18665, 513, 680, 320, 546, 527, 4689, 476, 276, 547, 338, 540, 2046, 337, 547, 3076, 1492, 13276, 726, 2801, 579, 267, 740, 519, 11346, 1590, 581, 5423, 585, 519, 476, 18231, 1790, 895, 2786, 6316, 6749, 269, 11153, 2178, 4600, 610, 1256, 513, 31219, 949, 581, 2838, 547, 5478, 713, 851, 269, 7358, 2209, 540, 19755, 2577, 5886, 522, 1084, 3975, 547, 18846, 1279, 20933, 2694, 1510, 16734, 875, 588, 1066, 6681, 741, 960, 568, 563, 7437, 713, 11450, 540, 3838, 1995, 543, 2093, 267, 649, 616, 8746, 602, 649, 666, 8275, 707, 1699, 543, 2104, 4170, 593, 20796, 17162, 2046, 3684, 269, 16258, 6765, 3044, 6191, 6006, 585, 9042, 281, 9208, 595, 7406, 2582, 1835, 1678, 2046, 543, 26137, 2046, 616, 2141, 930, 4559, 6006, 532, 585, 9042, 269, 476, 273, 4374, 547, 476, 1789, 2395, 1291, 942, 585, 16419, 1931, 269, 8262, 2046, 1899, 971, 607, 1286, 1560, 2694, 16826, 532, 1899, 1223, 581, 4712, 585, 695, 3612, 1369, 476, 275, 3275, 1310, 1931, 563, 22134, 14989, 2046, 20347, 6191, 616, 5258, 621, 334, 8261, 19755, 6191, 267, 17453, 19755, 6191, 543, 18981, 19755, 6191, 269, 15015, 19755, 6191, 616, 5258, 883, 7344, 8261, 19755, 6191, 543, 3167, 8261, 19755, 6191, 269, 4340, 547, 519, 15222, 1436, 1505, 267, 17453, 19755, 6191, 666, 581, 5258, 883, 281, 512, 832, 542, 7852, 15222, 1436, 267, 3684, 31622, 14989, 15222, 1436, 267, 543, 6850, 31622, 14989, 15222, 1436, 269, 6097, 547, 519, 3350, 7154, 267, 17453, 19755, 3684, 666, 581, 5258, 883, 909, 2173, 8221, 1462, 543, 1524, 2173, 8221, 1826, 563, 15152, 519, 1482, 4452, 267, 519, 1219, 3005, 540, 519, 960, 14456, 543, 23510, 3625, 540, 519, 476, 1015, 20356, 3684, 568, 476, 275, 2053, 602, 540, 519, 476, 276, 20356, 3684, 269, 901, 1797, 602, 10156, 6191, 2154, 7864, 695, 574, 11941, 547, 3132, 11727, 2694, 269, 25841, 695, 574, 16369, 543, 27571, 7041, 942, 269, 7698, 3446, 568, 620, 338, 513, 1883, 3815, 269, 22702, 609, 1970, 268, 12365, 13276, 267, 519, 4452, 2838, 676, 588, 841, 525, 588, 2465, 568, 721, 340, 718, 2799, 2421, 827, 476, 2004, 9077, 1247, 1034, 9344, 540, 2571, 11956, 616, 4389, 676, 827, 476, 2004, 10065, 1411, 666, 1205, 519, 3684, 779, 9522, 333, 720, 3349, 689, 519, 19755, 3684, 10672, 693, 1022, 942, 269, 634, 3349, 2982, 519, 6059, 9522, 333, 720, 2838, 829, 3723, 3259, 3768, 324, 886, 1370, 11098, 525, 543, 1114, 2326, 563, 2704, 26891, 543, 1164, 3613, 31104, 2848, 1564, 267, 585, 1383, 267, 1747, 2027, 7569, 593, 519, 1367, 4393, 3268, 269, 2290, 3815, 602, 814, 513, 2101, 3310, 593, 519, 2298, 540, 519, 1439, 1587, 568, 519, 2786, 2287, 540, 519, 9757, 4496, 269, 769, 513, 2786, 2287, 2577, 928, 9967, 540, 1896, 3942, 1042, 2269, 662, 978, 657, 32586, 16509, 13062, 341, 11128, 522, 519, 4358, 1319, 22567, 568, 1714, 19282, 730, 269, 769, 740, 819, 267, 1022, 6316, 610, 8998, 6329, 538, 519, 14816, 1570, 666, 581, 9104, 730, 585, 267, 1210, 5078, 6191, 269, 634, 2832, 1934, 568, 547, 3035, 519, 9803, 2009, 543, 1034, 4630, 10942, 639, 759, 24926, 521, 637, 1533, 538, 1931, 547, 2226, 751, 6366, 1145, 540, 519, 1570, 1282, 7766, 5969, 3157, 269, 562, 21378, 337, 8544, 584, 9087, 555, 3235, 773, 1097, 540, 513, 2786, 523, 887, 612, 529, 751, 632, 516, 540, 3531, 2305, 540, 519, 9757, 4496, 267, 799, 6257, 519, 5764, 1470, 522, 646, 1570, 15259, 16687, 602, 568, 726, 16484, 22775, 324, 579, 2590, 2786, 2287, 269, 2060, 519, 1482, 6556, 4222, 543, 1570, 554, 32169, 267, 11956, 3340, 3648, 3152, 5232, 540, 22636, 982, 5374, 547, 3035, 13380, 726, 770, 2305, 269, 13028, 3606, 1344, 693, 4179, 2517, 4178, 4877, 816, 332, 22389, 8996, 2593, 28918, 0, 309, 1388, 10568, 15347, 7912, 568, 3810, 13671, 10568, 15347, 602, 568, 4122, 1031, 547, 1711, 14859, 338, 609, 513, 2178, 2497, 543, 1750, 14567, 9403, 563, 3719, 1018, 4010, 568, 4105, 10568, 15347, 7912, 286, 1215, 568, 621, 1500, 267, 543, 1018, 616, 922, 9422, 2640, 888, 1432, 568, 4105, 10568, 15347, 7912, 888, 309, 1388, 10568, 15347, 7912, 267, 849, 1634, 607, 10568, 15347, 610, 15347, 7912, 267, 568, 1500, 676, 25935, 519, 15347, 689, 10568, 7912, 267, 6028, 3297, 513, 1587, 602, 568, 3592, 6986, 3940, 563, 1607, 3940, 568, 1018, 3947, 4105, 10568, 15347, 7912, 922, 2189, 3601, 267, 1818, 621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4715, 2209, 269, 15020, 5063, 513, 3677, 30806, 814, 1044, 3710, 267, 855, 594, 3112, 1265, 621, 563, 836, 1564, 30806, 729, 3710, 538, 476, 3422, 275, 454, 763, 30209, 853, 18123, 729, 3710, 538, 476, 4572, 278, 563, 763, 30806, 729, 3710, 593, 476, 4572, 273, 563, 2690, 15816, 12197, 538, 26352, 7921, 267, 12425, 269, 29740, 538, 476, 5002, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5143, 602, 519, 4651, 814, 513, 1318, 547, 798, 602, 269, 4634, 952, 782, 540, 602, 568, 14669, 547, 519, 1126, 338, 1655, 4690, 269, 634, 3993, 814, 1044, 4862, 547, 2161, 602, 789, 1616, 547, 1205, 519, 1126, 865, 602, 519, 5067, 786, 2760, 723, 547, 960, 269, 1284, 1810, 1405, 1294, 602, 607, 1373, 538, 519, 1126, 338, 1655, 4690, 855, 950, 649, 2322, 621, 4464, 606, 4661, 1996, 649, 616, 5143, 676, 938, 15818, 602, 649, 1058, 1413, 693, 519, 4651, 538, 602, 1769, 1317, 540, 1010, 2924, 1256, 1498, 646, 814, 1776, 7649, 543, 1352, 814, 1079, 9251, 1453, 269, 769, 519, 1614, 1296, 519, 4651, 814, 2760, 1185, 513, 2816, 543, 3085, 1405, 20053, 547, 1205, 835, 607, 1279, 607, 646, 814, 513, 7594, 19044, 538, 519, 1126, 563, 6701, 596, 513, 6264, 8001, 286, 594, 729, 660, 2386, 1934, 563, 15124, 9835, 14268, 454, 296, 1174, 1631, 269, 1809, 1775, 2503, 654, 2562, 313, 949, 723, 1945, 547, 2161, 827, 1010, 4566, 547, 2661, 1055, 513, 4324, 454, 4692, 594, 948, 2417, 888, 312, 788, 594, 1616, 513, 8486, 321, 1638, 15818, 547, 6023, 713, 2013, 1411, 616, 693, 570, 4768, 18553, 5749, 1405, 596, 1809, 594, 1810, 1405, 917, 952, 594, 1223, 6488, 596, 256, 2336, 296, 993, 538, 654, 2454, 2023, 855, 594, 993, 711, 4847, 547, 1491, 2665, 689, 713, 3135, 538, 1022, 2680, 269, 1809, 594, 666, 2303, 930, 4408, 563, 291, 3041, 290, 6369, 8379, 2207, 281, 12226, 689, 20226, 593, 3807, 12585, 616, 711, 31431, 585, 519, 5796, 540, 606, 18607, 269, 3807, 12585, 568, 513, 1857, 8468, 543, 2055, 543, 6114, 616, 711, 4357, 610, 14804, 610, 6870, 676, 519, 18607, 12641, 1304, 17979, 269, 634, 16869, 1657, 568, 711, 707, 18607, 267, 543, 519, 3210, 1657, 568, 711, 3656, 5796, 269, 1411, 1058, 711, 1224, 713, 3210, 547, 15974, 1808, 2962, 610, 2232, 1808, 6381, 267, 855, 1152, 547, 2285, 596, 513, 2631, 540, 2489, 3741, 540, 1876, 602, 1522, 1860, 519, 3510, 596, 4766, 269, 13335, 540, 891, 2489, 3741, 547, 1880, 6381, 1590, 581, 2944, 676, 513, 15818, 945, 814, 9275, 609, 596, 538, 6015, 267, 4121, 782, 4143, 1344, 267, 543, 8268, 1585, 3681, 269, 6969, 9117, 593, 891, 2489, 3741, 267, 596, 1058, 16926, 513, 15818, 13931, 547, 2259, 1876, 538, 519, 16278, 547, 799, 707, 2243, 25701, 563, 763, 6114, 1657, 616, 689, 1367, 20226, 267, 711, 3807, 12585, 269, 634, 3135, 543, 2533, 616, 3177, 968, 553, 568, 6100, 1677, 2070, 519, 20240, 19609, 540, 606, 16869, 267, 4945, 593, 519, 968, 19723, 1881, 892, 3090, 538, 519, 16869, 779, 9043, 269, 901, 3135, 568, 711, 585, 6595, 2055, 799, 1058, 581, 9859, 5612, 676, 15146, 610, 538, 16512, 547, 11727, 4648, 269, 7490, 5402, 1224, 519, 16301, 540, 6796, 630, 18431, 8242, 5988, 476, 279, 267, 476, 1001, 273, 1040, 0, 1704, 2904, 476, 1001, 273, 454, 1103, 476, 1001, 271, 267, 476, 278, 269, 277, 2929, 1453, 896, 2947, 5747, 267, 609, 3592, 476, 3445, 260, 540, 891, 7972, 30289, 547, 281, 30564, 3123, 267, 16415, 267, 11591, 21539, 320, 267, 13663, 267, 27330, 267, 543, 7486, 25266, 269, 1401, 12371, 31331, 3292, 616, 6059, 547, 513, 3200, 1063, 476, 273, 268, 274, 2929, 7972, 21496, 269, 2986, 519, 1699, 1126, 9019, 267, 31331, 734, 10175, 1007, 10074, 1996, 16415, 543, 4232, 8785, 734, 4754, 2417, 2061, 5111, 476, 736, 260, 540, 891, 7972, 563, 1103, 4989, 267, 631, 6224, 7709, 4843, 593, 930, 540, 891, 2591, 543, 4485, 607, 851, 540, 513, 8470, 1282, 519, 2622, 18966, 540, 5398, 2657, 4889, 725, 10554, 269, 634, 10554, 13631, 811, 982, 476, 274, 267, 1822, 1857, 1072, 4648, 689, 1472, 519, 1158, 563, 1103, 513, 8400, 13886, 834, 3725, 2286, 519, 11389, 3737, 281, 1007, 2591, 543, 9621, 4485, 538, 1226, 19935, 6375, 1944, 519, 1158, 781, 1453, 2223, 1614, 631, 6224, 7709, 1459, 619, 12038, 593, 4485, 547, 14304, 6296, 31331, 543, 1007, 6669, 4367, 267, 5355, 3795, 267, 543, 5466, 9698, 563, 763, 631, 6224, 7709, 8470, 4330, 3646, 540, 3818, 268, 698, 1890, 543, 2229, 4891, 693, 2518, 267, 6237, 543, 2197, 2157, 547, 7794, 31331, 1949, 543, 3292, 547, 2569, 24896, 543, 9019, 689, 6669, 1790, 516, 1203, 762, 3676, 630, 309, 11520, 338, 1070, 7700, 547, 7085, 3317, 1756, 4886, 25779, 630, 13270, 294, 264, 476, 275, 269, 901, 2882, 5355, 9698, 2066, 3077, 5095, 267, 7649, 11558, 267, 3498, 540, 519, 968, 3725, 2286, 5272, 10588, 892, 630, 305, 3633, 264, 1935, 2073, 543, 1806, 540, 1655, 2853, 543, 4245, 4121, 547, 3986, 2146, 9525, 267, 3028, 2298, 543, 4390, 2679, 540, 1072, 5234, 693, 782, 2157, 563, 5415, 8711, 11652, 6402, 547, 14245, 2933, 1765, 732, 2139, 2630, 912, 29619, 1107, 13705, 710, 31331, 14304, 543, 1007, 10074, 734, 6402, 609, 2518, 16415, 543, 11591, 515, 531, 2068, 6604, 543, 519, 11022, 19199, 454, 299, 7702, 1744, 11069, 267, 3627, 16176, 267, 5549, 454, 3412, 22861, 1436, 3292, 723, 6707, 4389, 966, 11520, 11841, 543, 6039, 607, 513, 3760, 585, 1857, 1072, 7459, 543, 1072, 1062, 14304, 269, 1306, 513, 22294, 2509, 8236, 11022, 294, 275, 267, 519, 1007, 5463, 1228, 540, 17261, 1149, 2518, 11036, 543, 21781, 9654, 19137, 11450, 1489, 2810, 31331, 3795, 543, 5001, 4367, 540, 10074, 1996, 16415, 267, 4232, 8785, 267, 543, 824, 10862, 3676, 269, 22604, 899, 681, 3633, 723, 6462, 2477, 547, 1628, 4390, 693, 1016, 5991, 1049, 2157, 630, 10843, 2866, 267, 593, 7308, 18191, 984, 9283, 267, 24233, 15569, 267, 543, 1582, 15065, 13501, 543, 4879, 264, 543, 5512, 2079, 543, 946, 540, 3795, 1239, 547, 2087, 2890, 13807, 8911, 543, 8664, 270, 8234, 1858, 3922, 1436, 547, 3914, 796, 270, 8974, 268, 9404, 684, 1242, 12256, 563, 291, 31034, 540, 968, 6343, 1568, 892, 585, 14304, 6296, 31331, 538, 4000, 454, 297, 10154, 1530, 4302, 4275, 267, 8121, 30990, 32434, 10485, 454, 763, 4000, 13705, 710, 16332, 1436, 3590, 12708, 338, 630, 2752, 30990, 264, 1788, 267, 6462, 676, 519, 9291, 1299, 9253, 25475, 27176, 7690, 267, 5342, 538, 3829, 2013, 2090, 538, 476, 1321, 13102, 538, 1614, 2477, 630, 290, 15330, 3019, 267, 18629, 267, 19168, 1070, 1210, 606, 7221, 2861, 267, 12007, 12191, 7132, 5697, 11050, 9382, 269, 28454, 5815, 602, 930, 10256, 540, 4824, 6296, 31331, 1062, 2773, 1303, 9229, 1982, 10391, 3527, 630, 324, 3052, 269, 7317, 267, 7928, 2773, 2689, 3157, 1070, 1247, 1866, 829, 22633, 547, 3376, 1072, 1062, 9283, 547, 7794, 519, 3095, 1063, 1072, 2533, 543, 2950, 269, 15765, 2146, 9525, 543, 2178, 8664, 2359, 7153, 607, 3444, 24408, 1154, 4798, 1898, 547, 3001, 31331, 3292, 689, 1434, 547, 1360, 1434, 2157, 540, 2773, 563, 18719, 1324, 3795, 538, 896, 3146, 3737, 5095, 1210, 681, 3633, 543, 1007, 6669, 4367, 538, 15057, 454, 18128, 753, 631, 758, 11535, 267, 631, 6224, 7709, 270, 24433, 2839, 1107, 15057, 454, 1103, 15057, 267, 519, 681, 3633, 1935, 729, 8045, 630, 2254, 2406, 538, 13102, 538, 29822, 20651, 715, 12505, 5633, 543, 5375, 16899, 264, 547, 2569, 519, 2338, 540, 896, 8686, 3147, 3990, 1453, 269, 634, 1445, 729, 593, 27797, 2950, 267, 5009, 1072, 11832, 543, 2146, 12352, 547, 2087, 13345, 267, 543, 5355, 1072, 11832, 4390, 547, 11179, 946, 1982, 1239, 547, 1732, 1544, 543, 1118, 5483, 3664, 269, 7193, 309, 1015, 6669, 729, 849, 5189, 883, 519, 681, 296, 8430, 630, 1194, 676, 519, 12080, 540, 2657, 609, 1489, 689, 4891, 264, 543, 5532, 609, 3376, 3646, 547, 2232, 16415, 6604, 543, 1852, 538, 519, 2796, 540, 519, 6820, 11059, 4643, 585, 623, 12149, 8205, 5943, 269, 4400, 3747, 585, 7193, 309, 8507, 538, 1082, 12256, 13059, 585, 12674, 945, 1185, 5892, 1044, 968, 17840, 268, 8083, 5608, 855, 713, 13934, 519, 1982, 779, 2702, 547, 2327, 7850, 6669, 3761, 543, 2743, 3747, 563, 11754, 7675, 9698, 543, 8757, 519, 9207, 5703, 543, 11389, 3737, 538, 3127, 454, 298, 15546, 590, 26196, 267, 631, 6224, 7709, 270, 24433, 2839, 1107, 3127, 454, 1103, 476, 1220, 280, 267, 3127, 8329, 3592, 476, 6434, 260, 540, 519, 476, 280, 269, 279, 2929, 1453, 602, 1705, 711, 4309, 667, 8976, 274, 538, 519, 3162, 5101, 5607, 16323, 269, 2311, 3084, 1377, 543, 538, 1079, 540, 519, 4102, 2829, 630, 308, 1777, 541, 21423, 543, 808, 327, 1046, 8518, 1070, 519, 681, 3633, 1935, 814, 1044, 9862, 547, 519, 4095, 2796, 676, 2229, 1072, 5234, 543, 27013, 267, 609, 513, 1445, 593, 29355, 1966, 8446, 543, 6061, 269, 10261, 539, 31331, 2645, 543, 2816, 8584, 1749, 630, 324, 3052, 269, 593, 2890, 13807, 8911, 267, 3028, 6765, 267, 4411, 5832, 267, 2792, 267, 9477, 29507, 267, 3092, 4700, 941, 2919, 607, 2200, 585, 1072, 5234, 547, 2087, 2361, 1377, 6388, 269, 589, 1883, 547, 1967, 814, 1044, 513, 4390, 2679, 267, 11215, 15569, 1935, 267, 1631, 1634, 607, 519, 968, 19894, 2561, 26150, 540, 519, 5358, 23840, 538, 10588, 892, 630, 20370, 2839, 264, 1935, 267, 799, 16877, 2199, 1072, 5234, 547, 20272, 543, 2232, 741, 31331, 1239, 543, 1982, 10616, 269, 1306, 513, 1267, 540, 891, 7459, 267, 808, 327, 1046, 8518, 779, 667, 8976, 274, 3795, 814, 2799, 689, 476, 3066, 260, 630, 1960, 280, 264, 547, 476, 7597, 260, 630, 1220, 280, 1040, 0, 288, 1505, 540, 2792, 1210, 1875, 31646, 19142, 269, 634, 1505, 17613, 602, 519, 1268, 1590, 11913, 1047, 630, 604, 2009, 264, 1927, 609, 19142, 563, 1607, 568, 606, 32433, 894, 2792, 1062, 799, 3322, 5711, 543, 1129, 1893, 269, 898, 729, 8385, 1759, 2390, 3703, 6178, 5678, 543, 814, 1044, 4922, 5189, 883, 6703, 23695, 585, 1004, 609, 4049, 3029, 540, 7214, 9659, 269, 8766, 8424, 623, 4202, 540, 1913, 799, 8428, 538, 1152, 835, 3280, 19838, 1421, 10822, 9706, 514, 282, 2759, 11305, 1575, 282, 5609, 4882, 684, 454, 288, 1106, 540, 8261, 19142, 454, 300, 752, 26293, 630, 339, 2784, 655, 1046, 264, 568, 513, 1062, 540, 2792, 602, 3096, 513, 6863, 540, 834, 4486, 2262, 257, 8261, 4191, 543, 17267, 547, 1489, 4633, 267, 607, 1134, 607, 8642, 6698, 547, 1489, 519, 2854, 2262, 269, 898, 568, 1031, 676, 543, 609, 1004, 945, 723, 2792, 267, 1893, 610, 1565, 7965, 269, 901, 2882, 1004, 609, 13994, 1637, 2042, 630, 1721, 1383, 267, 1004, 609, 19548, 25097, 344, 1070, 1004, 609, 5042, 23043, 799, 1522, 581, 2404, 609, 2175, 971, 607, 10295, 610, 13560, 6794, 267, 543, 741, 3885, 267, 9164, 543, 1416, 3464, 269, 0, 2467, 568, 4986, 547, 3160, 519, 2924, 799, 5771, 814, 11292, 547, 2021, 267, 543, 519, 16854, 2179, 540, 2463, 621, 814, 2016, 547, 873, 267, 9444, 538, 519, 10764, 540, 519, 1158, 267, 6862, 538, 1022, 16712, 7245, 1062, 540, 519, 2250, 610, 519, 1459, 269, 634, 15806, 543, 1876, 575, 1392, 540, 2025, 523, 2053, 267, 538, 7247, 519, 7178, 3768, 340, 569, 929, 1938, 3294, 865, 1454, 267, 789, 1705, 711, 1256, 2015, 2021, 607, 1480, 7919, 269, 2368, 24084, 2989, 17024, 540, 602, 2085, 4371, 602, 2021, 616, 513, 2186, 540, 4502, 1652, 11442, 267, 1360, 1454, 17071, 547, 2367, 267, 855, 5594, 9120, 547, 2831, 269, 3143, 1362, 540, 1004, 729, 811, 31345, 982, 2021, 543, 10437, 269, 2311, 519, 942, 950, 519, 27362, 11619, 10152, 540, 5771, 729, 4535, 2021, 941, 2808, 547, 581, 513, 812, 779, 2123, 3959, 269, 634, 9444, 1223, 4579, 513, 7365, 593, 741, 1378, 267, 6862, 1705, 789, 723, 1022, 2161, 3823, 741, 2104, 23947, 269, 1403, 741, 25330, 267, 1813, 547, 524, 913, 339, 748, 1145, 267, 543, 26846, 267, 4956, 711, 547, 1205, 519, 2021, 896, 741, 25330, 1222, 9310, 693, 782, 267, 1287, 972, 729, 4986, 547, 2638, 971, 7180, 267, 610, 547, 2061, 873, 689, 3257, 865, 563, 763, 11619, 10152, 540, 16589, 1547, 729, 2366, 607, 23502, 585, 519, 10600, 267, 2523, 585, 519, 4617, 267, 31345, 543, 23699, 5049, 540, 18495, 269, 1261, 5795, 2021, 606, 4378, 24461, 2990, 538, 2486, 267, 646, 11292, 873, 519, 1318, 547, 27836, 543, 646, 1577, 7365, 581, 971, 513, 4579, 538, 799, 513, 812, 568, 711, 8227, 540, 513, 4807, 267, 543, 519, 4807, 711, 519, 3959, 540, 812, 554, 583, 538, 799, 1312, 838, 11817, 616, 6105, 540, 513, 4579, 267, 1079, 15982, 267, 4378 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7856, 267, 3976, 7700, 547, 606, 2333, 538, 5694, 9178, 1282, 713, 942, 1974, 269, 0, 5353, 4038, 776, 4937, 540, 519, 6167, 17767, 18010, 960, 538, 519, 4339, 1996, 24954, 454, 268, 4427, 4784, 676, 281, 30511, 2494, 3241, 631, 1794, 528, 571, 454, 268, 476, 6021, 1315, 476, 2190, 1315, 476, 1001, 275, 454, 11693, 519, 12176, 540, 24954, 538, 4000, 267, 519, 23162, 2229, 12912, 513, 1895, 540, 1072, 4600, 945, 979, 547, 960, 538, 519, 4299, 2127, 269, 14465, 27411, 2173, 3019, 267, 6167, 14199, 4937, 267, 9684, 539, 19839, 334, 14339, 337, 6403, 326, 22222, 267, 23162, 14579, 10579, 267, 585, 741, 948, 538, 2352, 2053, 563, 763, 5870, 729, 4371, 538, 1715, 3840, 1310, 519, 12625, 540, 19839, 334, 30954, 22222, 267, 945, 13984, 593, 15773, 540, 519, 6532, 547, 519, 1164, 7400, 10126, 540, 519, 4937, 13909, 540, 519, 6167, 563, 290, 18866, 2366, 476, 13679, 1072, 4648, 547, 23683, 2274, 821, 547, 4339, 1996, 602, 2068, 267, 538, 1931, 547, 1489, 519, 3646, 540, 519, 2622, 2657, 9257, 630, 21766, 264, 547, 3247, 519, 3262, 540, 519, 12176, 563, 7419, 2959, 1767, 14465, 27411, 2173, 3019, 20888, 519, 3375, 538, 1010, 5870, 609, 23162, 14579, 10579, 267, 538, 799, 646, 849, 5941, 824, 2152, 593, 519, 3486, 16786, 607, 1007, 2591, 585, 1646, 1310, 476, 1001, 276, 563, 5445, 849, 14437, 827, 519, 834, 11296, 1689, 257, 538, 18010, 267, 519, 2591, 2916, 1689, 543, 519, 1909, 540, 18010, 538, 519, 4708, 16395, 1063, 519, 2229, 540, 21896, 543, 519, 674, 2752, 290, 267, 799, 616, 4371, 538, 519, 23162, 3854, 563, 13126, 281, 4144, 9222, 632, 18010, 0, 4415, 519, 1699, 13778, 5046, 268, 866, 6855, 267, 1082, 3466, 723, 1044, 18965, 267, 1519, 4264, 3601, 543, 513, 8902, 267, 811, 3742, 6197, 269, 1306, 6552, 2324, 543, 960, 1922, 668, 25571, 12417, 1831, 811, 7839, 267, 6800, 1616, 21273, 267, 15777, 267, 543, 1648, 18026, 5321, 563, 6097, 547, 715, 13612, 3198, 267, 1022, 1753, 666, 581, 811, 3608, 269, 1715, 5321, 616, 1373, 3710, 547, 2413, 4070, 4441, 267, 855, 4587, 5321, 666, 581, 18175, 24612, 547, 1831, 1648, 3608, 269, 2368, 2934, 540, 606, 1648, 18026, 1753, 1331, 2011, 31259, 4070, 267, 2011, 5498, 2718, 267, 10896, 610, 13673, 2207, 294, 312, 5254, 2752, 8654, 267, 1732, 13471, 267, 3092, 269, 4658, 4043, 547, 1589, 602, 3327, 24308, 5656, 1107, 7835, 602, 946, 7791, 1648, 2959, 547, 5352, 1648, 1107, 1590, 1942, 811, 982, 513, 2757, 2679, 563, 4913, 267, 7905, 26778, 623, 9593, 1195, 267, 15713, 9030, 540, 623, 9593, 1195, 22456, 543, 623, 9593, 1195, 9142, 267, 814, 6707, 7152, 602, 6940, 3085, 1406, 1611, 14427, 6272, 267, 855, 2804, 6272, 269, 1306, 7150, 538, 519, 8121, 2464, 3059, 6519, 7433, 5292, 269, 476, 272, 1421, 519, 2048, 289, 5600, 8730, 513, 3327, 24308, 1753, 538, 14135, 267, 568, 1634, 585, 5009, 3327, 8171, 540, 519, 1604, 543, 519, 9716, 540, 922, 11317, 693, 606, 10097, 3902, 563, 3719, 1018, 666, 596, 798, 1631, 547, 1118, 707, 4540, 1753, 811, 1648, 3608, 286, 5682, 5851, 6651, 6920, 476, 280, 2081, 547, 1118, 707, 1753, 811, 1648, 18026, 267, 930, 540, 799, 616, 547, 1118, 2386, 707, 6821, 543, 1140, 545, 616, 1134, 1202, 4327, 267, 22010, 610, 5372, 9486, 267, 2030, 12094, 4054, 543, 19211, 1472, 707, 2777, 267, 5372, 606, 4587, 19460, 609, 513, 1164, 3887, 11797, 1062, 267, 2087, 519, 4398, 540, 707, 3905, 1216, 1062, 267, 543, 946, 11741, 24638, 22311, 630, 290, 14566, 338, 1916, 5649, 811, 540, 968, 307, 22736, 3327, 4642, 3853, 609, 4515, 269, 26778, 623, 9593, 1195, 892, 693, 607, 328, 732, 531, 652, 919, 636, 2466, 2593, 270, 4100, 1673, 580, 1388, 22554, 1790, 1653, 19581, 268, 272, 13045, 2237, 547, 938, 15769, 693, 4757, 11333, 2593, 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 ]
[ 1808, 3239, 267, 6460, 547, 606, 3239, 454, 2018, 1582, 269, 13548, 815, 27368, 269, 13548, 269, 2903, 263, 13548, 18360, 994, 1038, 1582, 269, 13548, 815, 1582, 269, 13548, 26769, 3200, 4590, 1038, 1582, 269, 5550, 815, 1582, 269, 13548, 10947, 318, 5550, 4590, 13872, 1038, 1948, 3553, 519, 3432, 540, 519, 3615, 15385, 519, 5496, 3160, 547, 519, 20801, 3432, 269, 1452, 3688, 798, 711, 1847, 538, 519, 3750, 781, 540, 519, 6345, 454, 1038, 1582, 6155, 343, 815, 14662, 4629, 17247, 318, 9915, 292, 3633, 28329, 1038, 1948, 3553, 519, 1376, 543, 1439, 7158, 607, 519, 6724, 2016, 454, 1038, 1582, 269, 11034, 343, 815, 1376, 343, 454, 1038, 1582, 269, 754, 343, 815, 1439, 343, 692, 1038, 1582, 269, 637, 564, 4590, 8931, 825, 8173, 825, 634, 9337, 1505, 568, 1572, 2899, 829, 7406, 267, 799, 10311, 519, 2990, 543, 838, 1679, 540, 519, 1604, 3615, 13872, 825, 8173, 825, 1219, 9337, 4311, 2187, 1038, 1582, 269, 5550, 269, 22487, 343, 20699, 1582, 6155, 343, 258, 26303, 519, 2990, 998, 18946, 676, 519, 3432, 4756, 454, 1038, 1948, 604, 519, 3239, 814, 8854, 3564, 519, 19268, 1448, 630, 2041, 3219, 519, 6316, 540, 519, 5496, 1070, 19268, 454, 1038, 952, 1582, 269, 5550, 269, 22487, 343, 2999, 19419, 4953, 318, 17269, 19860, 912, 2018, 1582, 269, 637, 564, 4590, 8931, 825, 8173, 825, 634, 19268, 1505, 786, 19268, 519, 2990, 540, 519, 838, 1679, 267, 607, 1134, 607, 519, 3239, 952, 621, 2115, 547, 581, 19747, 454, 825, 8173, 825, 1219, 19268, 4311, 2187, 1038, 1948, 637, 564, 519, 2990, 454, 1038, 1582, 269, 5550, 269, 22487, 343, 815, 4351, 20120, 9792, 4311, 269, 11034, 343, 267, 1582, 269, 754, 343, 994, 1038, 1582, 269, 5550, 269, 1417, 2044, 815, 4351, 20120, 9792, 263, 4037, 267, 5496, 10947, 318, 19417, 3890, 910, 476, 4037, 994, 1038, 1948, 12690, 1125, 519, 3239, 585, 1604, 3615, 602, 2154, 621, 454, 1038, 952, 4311, 269, 13548, 18360, 2652, 834, 4148, 1824, 600, 257, 610, 1582, 269, 13548, 18360, 2652, 834, 12061, 17686, 728, 257, 2187, 2018, 1582, 20179, 5319, 1444, 3412, 1137, 4590, 4449, 8931, 825, 8173, 825, 634, 1739, 1505, 786, 4351, 1125, 1063, 2592, 585, 3615, 602, 2154, 3239, 4351, 1436, 454, 825, 676, 10992, 519, 3239, 18360, 585, 513, 1808, 5569, 602, 4564, 3239, 4351, 3074, 454, 825, 8173, 825, 1219, 4351, 5319, 1444, 3412, 1137, 4311, 2187, 1038, 952, 4311, 269, 13548, 18360, 2652, 834, 4148, 1824, 600, 257, 2187, 2018, 2592, 815, 22373, 8663, 7758, 3052, 604, 2580, 834, 322, 3433, 3052, 604, 2580, 834, 332, 4428, 2401, 3052, 604, 2580, 834, 339, 790, 3052, 604, 2580, 834, 335, 14125, 3052, 604, 31116, 1038, 8640, 4311, 269, 13548, 18360, 2652, 834, 12061, 17686, 728, 257, 2187, 2018, 2592, 815, 22373, 28755, 1188, 272, 3052, 604, 2580, 834, 28755, 1188, 273, 3052, 604, 2580, 834, 28755, 1188, 274, 3052, 604, 2580, 834, 28755, 1188, 275, 3052, 604, 2580, 834, 28755, 1188, 276, 3052, 604, 2580, 834, 28755, 1188, 277, 3052, 604, 2580, 834, 28755, 1188, 278, 3052, 604, 2580, 834, 29566, 272, 3052, 604, 2580, 834, 24124, 272, 3052, 604, 2580, 834, 29566, 273, 3052, 604, 2580, 834, 339, 790, 12201, 3052, 604, 19312, 27030, 1038, 3239, 815, 4351, 20120, 9792, 263, 271, 267, 7003, 263, 30502, 4917, 1038, 1582, 269, 13548, 815, 27368, 269, 13548, 269, 2903, 263, 30502, 314, 13548, 7481, 13872, 3097, 12163, 763, 2037, 5519, 1362, 11225, 519, 10546, 838, 27866, 269, 769, 713, 3014, 267, 621, 568, 795, 560, 519, 6517, 602, 1847, 693, 1585, 11250, 454, 659, 1484, 519, 5496, 269, 1703, 616, 476, 275, 6378, 28961, 3989, 602, 789, 786, 2408, 593, 543, 1246, 1535, 1673, 3925, 958, 267, 607, 829, 519, 4282, 269, 3097, 18851, 1038, 454, 5035, 2037, 5519, 263, 6853, 18524, 4732, 335, 1679, 2529, 335, 1679, 2187, 825, 8173, 825, 20472, 528, 585, 2037, 5519, 454, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 27368, 4732, 335, 1679, 2529, 335, 1679, 14857, 8181, 9191, 1345, 994, 1038, 1582, 269, 13548, 815, 27368, 269, 13548, 269, 2903, 2891, 523, 5519, 10111, 272, 3052, 604, 5602, 1038, 1582, 269, 13548, 815, 1582, 269, 13548, 26769, 3200, 4590, 1038, 1582, 269, 5550, 815, 1582, 269, 13548, 10947, 318, 5550, 4590, 1038, 1582, 269, 637, 564, 10797, 825, 8173, 825, 634, 9337, 1505, 568, 1572, 2899, 829, 7406, 267, 799, 10311, 519, 2990, 543, 838, 1679, 540, 519, 10546, 3615, 13872, 825, 8173, 825, 1219, 9337, 4311, 2187, 1038, 1582, 269, 5550, 269, 22487, 343, 815, 1582, 269, 5550, 269, 22487, 343, 910, 1582, 6155, 343, 454, 1038, 952, 1582, 269, 5550, 269, 22487, 343, 2999, 910, 2004, 281, 258, 604, 519, 10546, 568, 1055, 519, 5496, 267, 19268, 519, 3239, 454, 2018, 1582, 269, 637, 564, 4590, 8931, 825, 8173, 825, 634, 19268, 1505, 786, 19268, 519, 2990, 540, 519, 838, 1679, 607, 1134, 607, 4351, 1944, 519, 28961, 454, 825, 543, 15437, 540, 519, 6517, 269, 2201, 5765, 6517, 1590, 581, 3989, 8335, 982, 824, 6517, 607, 972, 616, 1114, 454, 825, 11250, 543, 2592, 1031, 563, 825, 8173, 825, 1219, 19268, 4311, 2187, 1038, 1948, 12690, 1125, 513, 26738, 454, 1038, 26738, 815, 4351, 20120, 9792, 263, 272, 267, 476, 276, 994, 1038, 1948, 12690, 1125, 606, 3239, 454, 1038, 3239, 815, 4351, 20120, 9792, 263, 272, 267, 476, 274, 994, 1038, 1582, 6155, 343, 815, 4351, 20120, 9792, 263, 1724, 267, 476, 1428, 994, 1038, 1582, 269, 5550, 269, 22487, 343, 815, 476, 16020, 454, 1038, 952, 10857, 2033, 2652, 476, 272, 610, 26738, 2652, 476, 273, 2567, 1948, 4002, 5765, 28961, 454, 2018, 1582, 6155, 343, 6834, 14662, 4629, 17247, 318, 9915, 292, 3633, 8931, 2018, 952, 10857, 2033, 2652, 476, 272, 2187, 3546, 1582, 269, 5550, 269, 1417, 2044, 815, 29135, 292, 318, 272, 454, 2018, 8640, 10857, 2033, 2652, 476, 273, 2567, 19930, 454, 3546, 1582, 269, 5550, 269, 1417, 2044, 815, 29135, 292, 318, 273, 454, 2018, 1948, 3553, 3239, 547, 606, 593, 5765, 1286, 3239, 454, 2018, 952, 263, 13548, 2652, 476, 272, 2187, 3546, 1582, 269, 13548, 815, 27368, 269, 13548, 269, 2903, 2891, 517, 5765, 5319, 5519, 10111, 272, 3052, 604, 5602, 2018, 8640, 263, 13548, 2652, 476, 273, 2187, 3546, 1582, 269, 13548, 815, 27368, 269, 13548, 269, 2903, 2891, 517, 5765, 5319, 5519, 10111, 273, 3052, 604, 5602, 4449, 454, 1038, 952, 10857, 2033, 2652, 476, 274, 610, 26738, 2652, 476, 275, 2567, 258, 5976, 28961, 22322, 2018, 952, 10857, 2033, 2652, 476, 274, 2187, 3546, 1582, 269, 5550, 269, 1417, 2044, 815, 29135, 292, 318, 274, 454, 2018, 8640, 10857, 2033, 2652, 476, 275, 2567, 19930, 454, 3546, 1582, 269, 5550, 269, 1417, 2044, 815, 29135, 292, 318, 275, 454, 2018, 1948, 3553, 3239, 547, 513, 609, 1286, 3239, 454, 2018, 952, 263, 13548, 2652, 476, 272, 2187, 3546, 1582, 269, 13548, 815, 27368, 269, 13548, 269, 2903, 2891, 523, 5519, 10111, 272, 3052, 604, 5602, 2018, 8640, 263, 13548, 2652, 476, 273, 2187, 3546, 1582, 269, 13548, 815, 27368, 269, 13548, 269, 2903, 2891, 523, 5519, 10111, 273, 3052, 604, 15419, 12163, 763, 10003, 1362, 11225, 519, 4282, 3239, 630, 1492, 4155, 1916, 18851, 1038, 454, 5035, 10003, 263, 6853, 18524, 4732, 335, 1679, 2529, 335, 1679, 2187, 825, 8173, 825, 20472, 528, 585, 10003, 454, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 27368, 4732, 335, 1679, 2529, 335, 1679, 14857, 8181, 9191, 1345, 994, 1038, 1582, 269, 13548, 815, 27368, 269, 13548, 269, 2903, 2891, 3724, 3033, 26666, 5602, 1038, 1582, 269, 5550, 815, 1582, 269, 13548, 10947, 318, 5550, 4590, 1038, 1582, 6155, 343, 815, 476, 276, 258, 2675, 2651, 693, 3432, 11721, 9347, 454, 1038, 1582, 269, 637, 564, 4590, 13872, 825, 8173, 825, 595, 6817, 2899, 829, 7406, 267, 519, 9337, 1505, 1175, 7575, 2059, 693, 519, 20801, 3432, 267, 543, 11974, 585, 519, 19268, 2990, 454, 825, 8173, 825, 1219, 9337, 4311, 2187, 1038, 1582, 269, 5550, 269, 22487, 343, 20699, 14662, 4629, 17247, 318, 9915, 292, 3633, 454, 1038, 952, 1582, 269, 5550, 269, 22487, 343, 10922, 910, 31079, 271, 912, 2018, 1582, 269, 637, 564, 3890, 3097, 8931, 825, 8173, 825, 1763, 564, 519, 3239, 2990, 454, 825, 8173, 825, 1219, 19268, 4311, 2187, 1038, 1582, 269, 5550, 269, 22487, 343, 815, 476, 6110, 271, 692, 12163, 763, 6060, 4580, 1362, 11225, 519, 1257, 838, 1679, 693, 519, 1283, 540, 519, 3014, 267, 18071, 3014, 1344, 971, 607, 6060, 543, 1072, 454, 12163, 5035, 24143, 4580, 263, 6853, 18524, 4732, 335, 1679, 2529, 335, 1679, 2187, 825, 8173, 825, 20472, 528, 585, 24143, 4580, 454, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 27368, 4732, 335, 1679, 2529, 335, 1679, 14857, 8181, 9191, 1345, 994, 1038, 1582, 269, 8234, 815, 31178, 454, 1038, 1582, 269, 16557, 815, 476, 271, 454, 1038, 1582, 8807, 2632, 815, 27368, 8807, 2632, 2529, 903, 293, 2632, 2891, 6635, 658, 2580, 476, 1789, 267, 476, 271, 267, 476, 272, 994, 1038, 1582, 14714, 9850, 815, 834, 4840, 1038, 1582, 6230, 20687, 14976, 17863, 815, 476, 271, 258, 5503, 4567, 814, 1044, 593, 5496, 454, 1038, 1582, 6230, 20687, 21920, 815, 21598, 4456, 2464, 318, 25807, 318, 306, 4488, 31631, 2608, 476, 272, 258, 14483, 3259, 540, 519, 4567, 28329, 825, 8173, 825, 595, 6817, 2899, 829, 7406, 267, 519, 9337, 1505, 10311, 519, 6060, 267, 1072, 543, 4567, 540, 519, 6345, 454, 825, 8173, 825, 1219, 9337, 4311, 2187, 1038, 1948, 604, 519, 5048, 942, 1714, 17863, 568, 1447, 982, 519, 5021, 3259, 267, 1039, 547, 942, 1714, 17863, 269, 19227, 267, 19268, 519, 942, 1714, 17863, 543, 4894, 519, 4567, 454, 1038, 952, 4311, 6230, 20687, 14976, 17863, 10922, 1582, 6230, 20687, 21920, 543, 1582, 14714, 9850, 568, 711, 834, 257, 2187, 2018, 1582, 6230, 20687, 14976, 17863, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1582, 6230, 20687, 14976, 17863, 815, 476, 271, 454, 2018, 1582, 14714, 9850, 815, 834, 4840, 8931, 1038, 1948, 19651, 519, 1699, 4567, 593, 519, 5496, 454, 1038, 1582, 269, 3667, 815, 834, 10890, 281, 4939, 323, 567, 24143, 281, 4939, 323, 825, 4939, 338, 257, 4939, 630, 1345, 269, 8234, 267, 1582, 269, 16557, 267, 1582, 14714, 9850, 994, 1038, 1582, 269, 13548, 815, 1582, 8807, 2632, 18622, 837, 4311, 269, 3667, 267, 476, 272, 267, 630, 271, 267, 476, 271, 267, 476, 14838, 4917, 1038, 1582, 269, 5550, 815, 1582, 269, 13548, 10947, 318, 5550, 10797, 12163, 1607, 568, 519, 3014, 1505, 267, 1141, 782, 540, 519, 538, 3766, 877, 568, 7307, 269, 27014, 616, 2813, 543, 10311, 616, 1500, 547, 454, 1492, 5496, 269, 901, 568, 519, 3119, 1505, 540, 29863, 607, 621, 2306, 782, 540, 519, 2556, 7125, 1282, 519, 3014, 563, 18851, 825, 454, 3698, 3014, 10031, 825, 27368, 269, 5891, 15630, 6831, 320, 1632, 2891, 290, 7765, 11814, 528, 32405, 8931, 825, 1948, 22056, 6345, 267, 1604, 267, 10546, 267, 6060, 4580, 267, 543, 4155, 3615, 454, 825, 6345, 815, 26761, 4590, 825, 10546, 272, 815, 2037, 5519, 4590, 825, 10546, 273, 815, 2037, 5519, 4590, 825, 11777, 815, 5113, 263, 2894, 309, 7644, 2177, 16774, 318, 4306, 11286, 318, 311, 267, 13673, 309, 7644, 2177, 16774, 318, 21715, 318, 311, 267, 834, 8314, 3052, 604, 5602, 825, 1166, 1824, 600, 272, 815, 5113, 263, 2894, 309, 7644, 2177, 16774, 318, 4306, 11286, 318, 311, 267, 13673, 309, 7644, 2177, 16774, 318, 21715, 318, 311, 267, 834, 4148, 1824, 600, 5602, 825, 1166, 1824, 600, 273, 815, 5113, 263, 2894, 309, 7644, 2177, 16774, 318, 4306, 11286, 318, 311, 267, 13673, 309, 7644, 2177, 16774, 318, 21715, 318, 311, 267, 834, 4148, 1824, 600, 5602, 825, 1166, 1824, 600, 274, 815, 5113, 263, 2894, 309, 7644, 2177, 16774, 318, 4306, 11286, 318, 311, 267, 13673, 309, 7644, 2177, 16774, 318, 21715, 318, 311, 267, 834, 4148, 1824, 600, 5602, 825, 1875, 17686, 728, 272, 815, 5113, 263, 2894, 309, 7644, 2177, 16774, 318, 4306, 11286, 318, 311, 267, 13673, 309, 7644, 2177, 16774, 318, 21715, 318, 311, 267, 834, 12061, 17686, 728, 5602, 825, 1875, 17686, 728, 273, 815, 5113, 263, 2894, 309, 7644, 2177, 16774, 318, 4306, 11286, 318, 311, 267, 13673, 309, 7644, 2177, 16774, 318, 21715 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15291, 781, 8800, 7207, 269, 6206, 1179, 338, 547, 2628, 3007, 547, 1331, 1384, 265, 2878, 3682, 19485, 630, 9573, 308, 264, 1262, 910, 6056, 540, 621, 607, 519, 15291, 781, 2634, 282, 5488, 8713, 5825, 1611, 18334, 7384, 1379, 269, 6201, 281, 27311, 11759, 1775, 274, 267, 1775, 276, 267, 1775, 278, 267, 7537, 291, 27550, 7999, 476, 274, 267, 476, 276, 267, 476, 278, 563, 265, 2878, 300, 25514, 630, 305, 4456, 264, 1262, 910, 2859, 20433, 2636, 2789, 3292, 547, 2196, 12347, 8195, 269, 6733, 585, 693, 2547, 476, 279, 16412, 19951, 267, 2523, 952, 596, 1544, 593, 1617, 527, 27965, 610, 1210, 14053, 3156, 563, 265, 2878, 1805, 4392, 7392, 1299, 6611, 1262, 910, 20348, 3557, 20000, 630, 7704, 291, 264, 4859, 568, 2413, 267, 3728, 267, 543, 6325, 267, 1498, 11720, 1512, 269, 12465, 10434, 2598, 330, 20000, 630, 8461, 291, 264, 4859, 3091, 3152, 4390, 693, 2539, 1942, 269, 6333, 4358, 609, 1472, 476, 16348, 16412, 9399, 291, 610, 476, 272, 307, 289, 18074, 291, 563, 265, 2878, 20877, 923, 9315, 630, 25897, 308, 264, 1262, 910, 12830, 585, 32266, 267, 8642, 9858, 267, 543, 476, 274, 291, 1918, 2209, 269, 715, 341, 573, 807, 2983, 2690, 576, 543, 681, 1228, 517, 681, 311, 3126, 616, 4583, 29453, 12478, 780, 1262, 277, 269, 623, 2176, 1299, 4045, 2032, 5093, 3550, 519, 15291, 814, 1898, 16788, 899, 18292, 267, 18074, 11085, 267, 543, 8301, 13544, 269, 29942, 14479, 6927, 1932, 1107, 2832, 585, 15261, 19712, 476, 276, 610, 23295, 15261, 19712, 476, 277, 1489, 543, 29402, 476, 276, 269, 271, 585, 15774, 3926, 6292, 902, 780, 8855, 267, 972, 781, 1100, 3501, 15291, 1317, 3025, 3096, 2029, 8335, 269, 1635, 1620, 891, 9238, 267, 596, 2811, 1631, 5423, 547, 3442, 519, 1655, 15291, 585, 22400, 2189, 2115, 269, 8414, 10122, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 3383, 596, 2461, 6368, 3206, 540, 9140, 513, 3381, 3014, 23641, 543, 596, 1616, 547, 917, 1018, 519, 1655, 11080, 23641, 568, 269, 1403, 596, 4076, 2944, 1022, 16861, 1382, 267, 1287, 596, 3580, 917, 602, 267, 1247, 972, 616, 1152, 513, 1906, 2101, 5716, 538, 713, 2344, 267, 621, 779, 2965, 7168, 2352, 547, 1118, 513, 3903, 563, 5472, 540, 873, 3100, 7168, 1434, 543, 789, 782, 723, 2864, 24813, 2203, 4408, 267, 1818, 621, 2182, 547, 2995, 519, 3017, 1256, 2066, 12478, 269, 1548, 779, 519, 3017, 1063, 519, 2473, 7901, 2290, 590, 543, 519, 2473, 7901, 2290, 2473, 286, 1656, 1018, 827, 519, 13662, 275, 543, 519, 2473, 7901, 2290, 538, 2489, 888, 6701, 972, 1978, 3756, 602, 1152, 960, 593, 1978, 931, 3421, 543, 711, 593, 1866, 286, 1403, 596, 4941, 547, 4444, 519, 3501, 11080, 23641, 267, 799, 1131, 621, 581, 888, 296, 666, 1406, 2995, 596, 1018, 519, 3501, 11080, 23641, 568, 267, 2731, 267, 2094, 972, 568, 1100, 971, 3364, 607, 513, 3501, 4376, 269, 1809, 594, 666, 2995, 596, 799, 616, 519, 1655, 585, 1114, 5301, 543, 1287, 596, 666, 4584, 519, 835, 602, 10742, 707, 2115, 563, 5194, 3364, 594, 666, 2995, 596, 568, 267, 1851, 519, 2101, 5716, 267, 972, 3884, 1406, 2731, 513, 3983, 23641, 269, 589, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 16179, 518, 781, 20929, 1315, 700, 2194, 641, 11370, 3539, 6651, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 278, 281, 8836, 28477, 667, 1734, 689, 15907, 519, 2622, 910, 25417, 10871, 7066, 9778, 899, 519, 19866, 681, 643, 1512, 320, 20989, 692, 1103, 713, 3184, 267, 649, 786, 5490, 883, 519, 3638, 13795, 540, 2686, 12563, 23929, 602, 723, 7960, 936, 5553, 2066, 1585, 7239, 5001, 269, 1452, 2757, 7544, 3029, 2709, 721, 4030, 883, 519, 2189, 12583, 267, 2418, 267, 543, 9163, 540, 1114, 2950, 1247, 849, 3246, 3255, 585, 3444, 14426, 7071, 543, 5385, 269, 5047, 267, 2502, 609, 891, 2199, 16782, 2636, 721, 547, 3565, 9797, 2509, 741, 11091, 543, 15364, 269, 1284, 786, 9414, 713, 4276, 998, 3695, 519, 1909, 540, 2146, 2818, 543, 3906, 971, 607, 519, 19866, 681, 643, 1512, 320, 20989, 538, 14637, 543, 5009, 891, 1148, 13257, 780, 296, 269, 4197, 8836, 28477, 667, 1734, 454, 288, 269, 9502, 543, 18567, 454, 289, 269, 8466, 4886, 543, 12472, 454, 290, 269, 4317, 19043, 543, 29526, 454, 291, 269, 9061, 4211, 8590, 16510, 543, 2561, 21090, 692, 2862, 269, 10289, 29120, 8836, 28477, 667, 1734, 454, 288, 269, 4469, 29546, 1723, 630, 8967, 664, 994, 268, 18882, 267, 4720, 267, 543, 4162, 454, 268, 8779, 6979, 267, 2575, 267, 543, 5322, 454, 268, 17583, 547, 5053, 2528, 543, 3961, 454, 289, 269, 32038, 27979, 520, 344, 600, 630, 19328, 994, 268, 9147, 8129, 543, 11454, 4296, 454, 268, 27884, 2553, 543, 7215, 454, 268, 10020, 538, 4207, 4095, 2486, 454, 290, 269, 670, 3121, 630, 295, 1177, 2967, 328, 994, 268, 17848, 539, 538, 5065, 22963, 17035, 543, 13299, 454, 268, 5548, 6510, 1688, 17267, 543, 24754, 669, 1218, 454, 268, 27264, 3646, 543, 32134, 692, 7656, 269, 12056, 609, 10871, 8836, 30543, 281, 589, 8865, 5530, 540, 519, 19866, 681, 643, 1512, 320, 20989, 454, 288, 269, 4985, 547, 519, 19866, 681, 643, 1512, 320, 20989, 454, 289, 269, 4706, 17030, 543, 8177, 593, 26472, 8836, 28477, 667, 1734, 454, 290, 269, 12833, 9876, 618, 19662, 281, 21816, 17621, 4518, 267, 5213, 725, 267, 543, 16840, 1222, 5358, 6996, 454, 291, 269, 7464, 1944, 519, 16340, 518, 7991, 11957, 540, 6270, 20871, 692, 4353, 269, 674, 29183, 6820, 22893, 1222, 3414, 8836, 28477, 667, 1734, 454, 288, 269, 18964, 27919, 267, 570, 16260, 267, 543, 23688, 783, 21727, 454, 289, 269, 20710, 3101, 8836, 29435, 525, 543, 27915, 853, 699, 8040, 454, 290, 269, 5917, 20814, 17151, 13717, 4804, 543, 15765, 30880, 538, 519, 8551, 692, 309, 269, 10390, 281, 16871, 3776, 32655, 11595, 3414, 8836, 28477, 667, 1734, 692, 2026, 2518, 4961, 267, 621, 3587, 5051, 1271, 585, 721, 547, 5660, 543, 8661, 519, 3309, 5044, 540, 2686, 12563, 23929, 602, 10802, 938, 7104, 1480, 1995, 269, 1635, 8362, 10283, 538, 2621, 6896, 676, 5238, 899, 519, 19866, 681, 643, 1512, 320, 20989, 543, 2147, 24284, 6131, 547, 8497, 543, 4687, 891, 5389, 267, 649, 2327, 741, 6668, 543, 10083, 585, 2104, 5481, 269, 5015, 267, 2502, 609, 2686, 12563, 23929, 6087, 721, 547, 1628, 13123, 2066, 4529, 267, 4161, 11475, 267, 543, 6536, 6568, 1107, 1898, 3334, 540, 3743, 2518, 19642, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7312, 4797, 1489, 568, 16761, 269, 2060, 707, 948, 267, 649, 666, 3136, 938, 5692, 543, 1832, 519, 19866, 681, 643, 1512, 320, 20989, 513, 14762, 6237, 2686, 10278, 585, 5481, 547, 2097, 269, 1411, 666, 581, 513, 851, 540, 938, 1686, 676, 8497, 938, 4525, 6561, 267, 5885, 513, 14762, 7900, 6575, 4099, 609, 1283, 7038, 619, 689, 1472, 519, 1158, 543, 11981, 519, 9589, 1995, 540, 513, 476, 4572, 277, 8978, 16222, 609, 922, 3312, 2324, 654, 584, 2993, 307, 10045, 1418, 563, 2467, 616, 513, 3099, 540, 2081, 596, 666, 1118, 606, 1764, 543, 1489, 519, 19866, 681, 643, 1512, 320, 281, 10572, 5213, 725, 282, 23654, 270, 7468, 10675, 5213, 725, 282, 21816, 324, 1359, 282, 23654, 1975, 976, 832, 4721, 543, 16840, 1222, 19662, 563, 763, 19866, 681, 643, 1512, 320, 20989, 568, 513, 10805, 1875, 17416, 3919, 269, 2353, 23131, 689, 17914, 543, 598, 947, 687, 979, 4724, 519, 11808, 543, 11091, 540, 519, 8978, 16222, 269, 634, 681, 643, 1512, 320, 20989, 1281, 711, 4309, 1022, 948, 609, 2489, 5665, 9276, 543, 12346, 593, 21464, 7418, 547, 2508, 9691, 2877, 5571, 11808, 1788, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24292, 28477, 667, 1734, 689, 15907, 519, 2622, 257, 607, 851, 540, 834, 16300, 13493, 1315, 27400, 8551, 1315, 19933, 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, 17345, 5149, 281, 4197, 22383, 1299, 18753, 26358, 281, 10289, 15776, 15487, 17716, 538, 20010, 22383, 692, 9213, 267, 649, 2811, 2469, 547, 7832, 593, 606, 3078, 3460, 998, 519, 1158, 540, 8642, 9089, 543, 4244, 14676, 267, 4481, 3168, 693, 24139, 3347, 1369, 873, 269, 2913, 781, 1376, 676, 1620, 1018, 891, 2474, 1611, 780, 1262, 1432, 616, 18753, 26358, 543, 20010, 22383, 286, 12533, 20877, 545, 9089, 543, 4244, 14676, 616, 899, 1279, 2984, 5143, 998, 5961, 543, 1913, 267, 2147, 547, 707, 5172, 1453, 781, 2835, 855, 1419, 811, 1950, 543, 2219, 4538, 269, 1358, 666, 3382, 1585, 3584, 971, 607, 7045, 267, 9814, 267, 15832, 267, 2257, 5708, 267, 543, 1454, 811, 269, 2755, 2757, 14676, 1419, 4183, 27568, 9494, 519, 1554, 267, 4244, 14676, 2736, 2476, 689, 713, 9044, 267, 3695, 1114, 4798, 543, 6163, 780, 1262, 3963, 10312, 593, 15776, 15487, 17716, 286, 12533, 18698, 3309, 2010, 540, 3347, 2337, 721, 1174, 1004, 945, 1522, 581, 1114, 689, 721, 269, 1635, 1565, 827, 24139, 3347, 538, 1880, 267, 649, 2744, 5813, 883, 875, 2648, 543, 4276, 2291, 1063, 1079, 2021, 269, 901, 3376, 839, 938, 5380, 543, 8992, 6568, 2509, 1866, 780, 1262, 4131, 781, 13185, 6168, 2368, 6201, 26279, 3080, 4583, 1383, 540, 513, 8642, 3209, 10023, 513, 24139, 2078, 568, 834, 29222, 5851, 257, 2854, 676, 1325, 2581, 2142, 577, 23437, 269, 901, 1433, 6645, 1200, 1378, 3020, 1650, 3395, 909, 538, 513, 24133, 1753, 630, 1156, 576, 519, 2012, 264, 1247, 12423, 1200, 14920, 543, 4947, 856, 607, 513, 24139, 269, 6271, 5140, 1224, 568, 834, 20597, 574, 2437, 2813, 676, 25795, 14150, 23111, 13403, 543, 808, 650, 1014, 23111, 13403, 267, 799, 5205, 4787, 574, 267, 513, 654, 545, 4754, 21717, 7231, 609, 2152, 540, 3961, 267, 20420, 267, 543, 27503, 11509, 4606, 4724, 1776, 8004, 780, 1103, 1312, 1568, 267, 519, 5159, 946, 4190, 12383, 2059, 609, 3532, 6386, 602, 1450, 3988, 547, 1921, 7184, 609, 519, 3197, 269, 1452, 5749, 1405, 1175, 2984, 827, 1373, 14447, 282, 789, 2811, 849, 8941, 540, 1582, 22523, 267, 1920, 6384, 267, 11505, 267, 543, 20408, 2591, 780, 1262, 763, 11957, 540, 23830, 26279, 8450, 532, 6000, 6719, 538, 2923, 6927, 269, 1879, 1762, 1004, 1294, 2318, 26007, 540, 1004, 899, 873, 267, 2436, 1759, 593, 5198, 267, 4008, 267, 4638, 10066, 267, 4984, 267, 3092, 1421, 789, 1745, 2938, 543, 24019, 269, 1280, 1346, 15819, 741, 9163, 267, 7487, 15962, 543, 8076, 28402, 540, 1482, 20967, 15185, 666, 1683, 4313, 543, 15260, 4269, 269, 5015, 267, 4598, 547, 3309, 2833, 11942, 2463, 543, 7071, 585, 3604, 1851, 9905, 780, 8855, 267, 3025, 19262, 2648, 543, 2463, 7488, 540, 7247, 789, 3442, 547, 4266, 610, 19533, 269, 1306, 596, 1332, 4587, 543, 3136, 2542, 8642, 9089, 543, 4244, 14676, 267, 1832, 606, 3750, 856, 585, 824, 11269, 540, 4763, 543, 10014, 910, 1317, 1169, 1268, 814, 513, 2189, 1650, 4502, 10213, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4467, 923, 585, 2481, 2740, 30921, 454, 2005, 568, 4557, 1296, 2094, 31839, 18857, 631, 537, 569, 543, 3203, 1975, 20672, 601, 2006, 791, 564, 28204, 8547, 21984, 7734, 543, 29093, 269, 4595, 1287, 267, 21984, 267, 519, 7008, 779, 4244, 13371, 14816, 12139 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29499, 602, 968, 296, 1131, 899, 547, 1294, 621, 7500, 1586, 3034, 303, 600, 684, 4486, 12504, 31489, 18703, 15748, 513, 1788, 547, 1382, 519, 2199, 588, 25973, 517, 2551, 269, 2060, 513, 9886, 689, 519, 2817, 7909, 545, 543, 27321, 10029, 630, 17472, 8150, 1070, 4168, 670, 4526, 540, 27991, 1901, 820, 11660, 543, 26778, 918, 23167, 540, 30857, 6964, 17174, 4961, 4989, 1546, 2329, 543, 2677, 790, 324, 715, 3089, 11169, 689, 476, 1001, 279, 547, 476, 1708, 271, 547, 1293, 519, 2937, 588, 25973, 517, 2551, 538, 519, 31656, 684, 4486, 5211, 269, 2755, 789, 18886, 1447, 982, 476, 4335, 2937, 838, 27681, 3165, 12422, 267, 789, 1705, 2253, 547, 1294, 811, 1007, 267, 7820, 3165, 563, 5719, 2329, 1767, 1352, 814, 15548, 538, 519, 588, 25973, 517, 1788, 1317, 1352, 6499, 547, 948, 11177, 1200, 5757, 269, 968, 12850, 568, 1272, 2223, 1352, 1767, 269, 968, 2791, 1491, 1416, 540, 621, 267, 543, 621, 786, 1491, 1416, 540, 596, 1848, 1677, 798, 865, 267, 519, 14316, 814, 849, 12630, 513, 968, 331, 1516, 32132, 892, 2059, 851, 540, 519, 5757, 602, 786, 948, 3500, 3037, 11761, 563, 763, 538, 16512, 13186, 729, 513, 12300, 1995, 585, 519, 28752, 269, 968, 2414, 5873, 689, 1004, 689, 519, 2146, 945, 616, 8497, 519, 2528, 543, 519, 1702, 729, 13710, 2223, 1767, 8772, 17263, 4116, 15576, 773, 2349, 558, 638, 626, 563, 294, 2001, 1767, 1352, 20888, 519, 4316, 547, 960, 609, 519, 3610, 269, 968, 13981, 538, 513, 16614, 1259, 568, 849, 875, 596, 616, 2469, 547, 4001, 538, 513, 16614, 1259, 2223, 1352, 1767, 563, 7628, 1079, 2228, 11925, 1991, 547, 741, 3643, 267, 519, 3610, 12744, 539, 519, 3059, 1650, 1504, 547, 581, 5950, 713, 1032, 269, 5822, 17263, 4116, 26391, 32129, 10458, 1767, 1352, 568, 3168, 4464, 547, 1210, 621, 538, 1200, 4928, 607, 7087, 4529, 616, 968, 810, 1102, 18526, 5018, 538, 21195, 267, 543, 2141, 538, 519, 2250, 269, 594, 6521, 602, 3666, 547, 1331, 811, 1459, 6377, 9739, 3034, 2690, 9410, 267, 519, 1034, 1271, 1523, 1053, 1223, 1451, 568, 602, 519, 31656, 684, 4486, 1004, 616, 968, 560, 650, 1934, 2223, 1352, 1767, 269, 968, 2171, 1869, 4163, 593, 269, 9198, 725, 1354, 721, 723, 267, 543, 649, 786, 849, 1848, 0, 1432, 568, 645, 13633, 13081, 888, 289, 13633, 4524, 568, 513, 2790, 4576, 602, 3123, 3665, 7099, 23638, 267, 1634, 607, 812, 545, 31398, 1833, 269, 634, 3270, 540, 9402, 543, 4049, 7099, 23638, 11385, 622, 547, 606, 6708, 602, 666, 3541, 841, 2123, 543, 3318, 7207, 543, 2773, 269, 898, 3123, 8801, 2360, 593, 513, 1268, 779, 3347, 543, 4876, 269, 1306, 829, 519, 2012, 267, 621, 779, 519, 3665, 2770, 551, 6672, 1063, 4743, 20158, 693, 835, 942, 543, 10393, 4743, 552, 25045, 7595, 563, 290, 611, 629, 600, 779, 568, 519, 835, 3613, 641, 10278, 547, 9004, 27676, 2790, 1072, 4713, 602, 16094, 1860, 1920, 543, 3318, 2729, 269, 634, 3573, 1995, 543, 5969, 6316, 12191, 602, 568, 1031, 538, 23235, 543, 8156, 3309, 2790, 1072, 2175, 267, 2306, 27974, 629, 600, 779, 513, 9053, 3903, 1851, 6634, 540, 2043, 269, 634, 4810, 1899, 540, 5626, 4966, 543, 24004, 28748, 267, 2059, 609, 513, 3102, 1702, 547, 1521, 4101, 2790, 1072, 2175, 267, 17993, 519, 3972, 543, 6015, 540, 3875, 3885, 945, 616, 5275, 2126, 585, 741, 6068, 3283, 563, 1103, 713, 5816, 267, 649, 786, 979, 998, 519, 1585, 2589, 543, 9963, 4191, 602, 2097, 609, 645, 13633, 13081, 282, 649, 786, 849, 2911, 827, 519, 2126, 4566, 602, 786, 948, 596, 7753, 621, 563, 21618, 540, 645, 13633, 13081, 454, 4407, 972, 616, 930, 1455, 2589, 540, 17299, 4524, 267, 621, 779, 1271, 547, 917, 519, 2589, 540, 17299, 4524, 1644, 547, 812, 807, 543, 4965, 563, 268, 29175, 730, 1648, 2157, 543, 4743, 6126, 585, 1100, 2601, 454, 268, 19768, 540, 3207, 1813, 547, 936, 7721, 322, 924, 618, 454, 268, 24935, 3728, 543, 538, 513, 1164, 12334, 454, 268, 11109, 1082, 2093, 538, 519, 2247, 543, 3478, 3362, 26531, 454, 268, 6764, 8529, 27790, 267, 1813, 547, 936, 7721, 322, 924, 618, 454, 7628, 19591, 7886, 454, 268, 26184, 569, 1970, 1648, 2157, 267, 10483, 676, 9854, 454, 268, 16228, 680, 7134, 2597, 2530, 610, 2597, 2744, 454, 268, 5438, 1329, 1424, 2942, 4664, 267, 1519, 4606, 540, 16203, 267, 17847, 267, 4502, 16531, 267, 543, 21817, 454, 268, 12246, 1061, 1043, 547, 10845, 267, 4160, 267, 543, 1373, 22350, 2565, 540, 1582, 454, 268, 32438, 540, 11980, 543, 29047, 8942, 454, 23219, 940, 20050, 540, 645, 13633, 13081, 454, 763, 1455, 17299, 4524, 2589, 616, 2312, 9963, 4191, 602, 1289, 585, 7525, 3007, 269, 1452, 4191, 616, 912, 268, 28214, 27945, 543, 8886, 730, 585, 606, 6905, 1974, 540, 942, 454, 268, 1133, 762, 547, 3207, 610, 12008, 1932, 1454, 454, 268, 15775, 26531, 610, 989, 18469, 3362, 454, 268, 9861, 936, 20813, 1211, 610, 2348, 32601, 6788, 689, 13951, 454, 268, 4400, 569, 10728, 543, 791, 520, 1304, 454, 268, 1133, 762, 547, 13404, 454, 268, 11109, 2192, 16479, 4555, 454, 268, 11109, 1582, 1673, 12874, 339, 267, 2059, 609, 4555, 540, 2669, 610, 11980, 454, 3674, 645, 13633, 13081, 595, 9092, 888, 289, 13633, 4524, 543, 2589, 666, 1629, 582, 10675, 606, 1367, 267, 6028, 873, 543, 741, 1920, 538, 19039, 10539, 543, 4250, 540, 519, 2104, 269, 1717, 267, 2126, 568, 2139, 547, 5512, 519, 1367, 547, 5431, 519, 12153, 543, 948, 873, 1118, 6857, 3646, 547, 9258, 519, 2360, 540, 519, 2783, 563, 12179, 821, 267, 28000, 540, 2085, 267, 4282, 267, 14940, 267, 543, 4008, 267, 666, 581, 8995, 609, 17299, 4524, 269, 1717, 267, 676, 9256, 519, 1318, 3797, 609, 519, 1318, 6646, 267, 707, 7099, 666, 581, 14931, 543, 519, 1367, 666, 581, 11461, 593, 519, 2619, 547, 6051, 1247, 7303, 26739, 269, 898, 779, 1271, 547, 1174, 519, 4576, 8499, 543, 917, 519, 2553, 547, 5000, 5488, 6051, 563, 21675, 18169, 585, 645, 13633, 13081, 454, 2414, 2327, 513, 2347, 6051, 689, 17299, 4524, 267, 1279, 3856, 2126, 568, 2877, 1256, 1310, 6051, 269, 634, 1367, 786, 10929, 2126, 538, 513, 11222, 4099, 1141, 6646, 543, 3797, 979, 1688, 538, 1688, 547, 2327, 19993, 2164, 563, 268, 31499, 281, 634, 5650, 1419, 13000, 17299, 4524, 1510, 6646, 563, 268, 15465, 19884, 10657, 281, 901, 9354, 1184, 23352, 2942, 4555, 543, 28901, 2318, 4555, 547, 948, 519, 1367, 1291, 513, 3339, 1272, 563, 268, 32695, 10657, 281, 634, 1268, 568, 9415, 547, 4308, 609, 19591, 17907, 545, 14501, 676, 2348, 2673, 4205, 609, 513, 13309, 563, 268, 7731, 10657, 281, 901, 3797, 6212, 593, 13057, 519, 1367, 547, 6051, 676, 5473, 1920, 2818, 585, 4901, 543, 2870, 4656, 563, 268, 9615, 609, 5709, 725, 281, 15316, 6527, 616, 1031, 547, 10826, 17299, 4524, 267, 543, 1034, 5061, 616, 11311, 609, 824, 11257, 543, 2126, 5773, 563, 268, 27999, 15448, 281, 634, 1367, 568, 9415, 547, 1118, 6197, 2242, 602, 1331, 16706, 543, 10438, 513, 1808, 2732, 602, 2337, 873, 2744, 1852, 936, 519, 4524, 543, 936, 741, 1272, 563, 290, 611, 629, 600, 779, 9869, 8558, 568, 835, 540, 519, 3056, 2790, 1072, 1416, 267, 28400, 1606, 3469, 14317, 7740, 269, 1280, 811, 982, 1614, 5756, 267, 649, 723, 5280, 9118, 1004, 7092, 689, 1114, 2790, 1072, 2152, 269, 3776, 1617, 529, 2133, 1399, 2319, 5161, 540, 4810, 24004, 28748, 267, 24784, 267, 16895, 267, 543, 824, 12665, 945, 960, 1927, 547, 5838, 519, 1655, 2126, 267, 2059, 609, 513, 10531, 1995, 269, 2311, 27974, 629, 600, 779, 9869, 8558, 267, 649, 1416, 585, 596, 269, 13555, 721, 2221, 585, 811, 1344, 269, 11910, 721, 693, 1341, 11011, 476, 9032, 275, 1691, 476, 278, 5038, 10602, 543, 1491, 519, 1101, 1900, 2509, 8156, 645, 13633, 4524, 563, 2171, 11441, 547, 1521, 938, 2550, 609, 15683, 543, 25932, 8417, 269, 1284, 1174, 602, 812, 545, 4965, 568, 513, 645, 13633, 4524, 543, 602, 621, 568, 711, 513, 1129, 540, 8467, 269, 898, 568, 1271, 547, 4063, 602, 2494, 545, 4965, 1058, 581, 5219, 547, 607, 645, 13633, 4524, 547, 1732, 2232, 519, 2360, 540, 713, 5626, 2783, 269, 769, 2013, 596, 610, 707, 6068, 3283, 616, 10010, 609, 645, 13633, 4524, 543, 789, 2671, 513, 2189, 21169, 593, 875, 649, 666, 2087, 713, 1543, 585, 938, 3988, 267, 5225, 3914, 856, 547, 721, 693, 4757, 11333, 2593, 563, 289, 13633, 13081, 14174, 17988, 912, 4692, 645, 13633, 4524, 1205, 8338, 609, 2085, 888, 2252, 621, 779, 711, 5701, 538, 519, 3355, 5933, 267, 1287, 9811, 267, 519, 17299, 2589, 666, 1205, 8338, 609, 2085, 269, 1879, 972, 568, 1100, 5812, 2126, 547, 4383, 519, 4191, 540, 812, 807, 543, 4965, 267, 519, 2589, 666, 1205, 4049, 543, 7928, 607, 942, 4422, 676, 563, 1692, 547, 1489, 513, 6068, 835, 7092, 689, 645, 13633, 4524, 888, 5278, 2081, 596, 666, 581, 972, 585, 513, 6068, 835, 267, 7092, 689, 17299, 4524, 616, 912, 268, 3447, 908, 3054, 827, 519, 4524, 454, 268, 9861, 606, 3742, 16045, 538, 741, 2126, 454, 268, 10435, 513, 1544, 454, 268, 8081, 873, 543, 711, 581, 10669, 1506, 454, 268, 9861, 1620, 454, 1432, 4523, 952, 17299, 4524, 568, 2451, 15860, 888, 2252, 645, 13633, 4524, 568, 2451, 15860, 1287, 621, 666, 581, 14603, 267, 519, 2589, 786, 1205, 4049, 609, 942, 543, 621, 666, 1291, 547, 14686, 4539, 899, 11980, 269, 1703, 568, 513, 1164, 11980, 2557, 1851, 1004, 945, 7985, 689, 713, 4524, 269, 3117, 11962, 543, 2500, 2126, 666, 948, 4383, 519, 2589, 543, 621, 2636, 519, 1367, 547, 2661, 513, 7123, 1272, 269, 0, 8139, 519, 4201, 11703, 18734, 22732, 630, 2969, 306, 264, 18065, 12810, 454, 2026, 811, 543, 811, 4213, 543, 5321, 6467, 547, 12747, 1949, 585, 1379, 1852, 267, 606, 1620, 540, 519, 4201, 11703, 18734, 22732, 630, 2969, 306, 264, 5547, 6516, 568, 1898, 269, 1323, 589, 4811, 568, 513, 1062, 602, 11179, 21697, 543, 11507, 1379, 2959, 2687, 547, 3593, 20452, 2175, 269, 634, 1062, 666, 581, 1031, 547, 1847, 1379, 1063, 1079, 2959, 267, 3976, 4180, 602, 519, 1379, 538, 513, 3060, 3788, 5150, 543, 6325, 269, 769, 713, 2376, 267, 649, 786, 1865, 519, 3483, 540, 519, 589, 4811, 267, 875, 621, 1568, 267, 543, 519, 1585, 3334, 2838, 585, 922, 14764, 563, 763, 4201, 11703, 18734, 22732, 630, 2969, 306, 264, 568, 513, 1062, 2966, 547, 2327, 602, 5201, 3761, 1369, 513, 1753, 610, 1870, 568, 796, 5793, 32152, 543, 3788, 7123, 269, 898, 1568, 676, 8850, 15175, 1063, 1079, 2959, 540, 1379, 267, 971, 607, 519, 1292, 338, 1379, 543, 519, 19307, 1379, 267, 4470, 593, 799, 835, 568, 2139, 269, 901, 6087, 519, 3593, 547, 2226, 15364, 540, 1379, 543, 3354, 540, 519, 5122, 1062, 563, 1692, 1281, 606, 4201, 11703, 18734, 22732, 4518, 888, 2304, 4201, 11703, 18734, 22732, 630, 2969, 306, 264, 568, 606, 1528, 4435, 22817, 3926, 602, 568, 1031, 547, 6467, 1055, 543, 593, 1379, 2959, 267, 4470, 593, 799, 835, 568, 811, 3532, 610, 568, 811, 6325, 693, 1022, 1880, 4090, 269, 634, 589, 4811, 5161, 540, 1896, 3334, 267, 1519, 513, 6467, 267, 882, 904, 267, 543, 513, 1852, 8470, 269, 634, 6467, 6411, 607, 513, 18657, 1807, 1063, 519, 1292, 1379, 2707, 543, 519, 19307, 1379, 2707, 269, 1879, 519, 1292, 1379, 2707, 14543, 267, 519, 6467, 12153, 519, 20794, 547, 4483, 519, 1379, 3761, 547, 519, 19307, 1379, 2707, 563, 763, 1852, 8470, 568, 1287, 1031, 547, 4188, 519, 5468, 540, 519, 589, 4811, 267, 971, 607, 519, 8417, 547, 519, 1379, 5821, 543, 950, 547, 6467, 1063, 519, 1292, 543, 19307, 2959, 269, 898, 849, 8075, 1896, 10832, 602, 666, 581, 1031, 547, 3313, 519, 4567, 540, 519, 589, 4811, 267, 971, 607, 2436, 621, 568, 538, 606, 3742, 1533, 610, 711, 563, 15253, 7859, 540, 606, 4201, 11703, 18734, 22732, 3590, 454, 763, 4201, 11703, 18734, 22732, 630, 2969, 306, 264, 1062, 568, 7768, 540, 1896, 3334, 2556, 547, 1118, 519, 1062, 1599, 5265, 269, 589, 2596, 589, 4811, 1062, 5161, 540, 519, 1739, 3334, 912, 268, 6301, 5295, 11905, 281, 901, 568, 519, 1292, 1379, 2707, 602, 786, 581, 1031, 950, 519, 589, 4811, 568, 538, 606, 3742, 1533, 563, 268, 7982, 1575, 5295 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 973, 11661, 513, 1614, 8820, 1158, 267, 855, 609, 519, 3017, 602, 713, 16494, 1158, 568, 535, 4310, 609, 519, 1483, 1158, 269, 1323, 1383, 540, 513, 1101, 1900, 538, 21284, 4641, 19351, 747, 729, 18481, 1134, 2944, 607, 547, 581, 513, 5001, 5734, 28104, 1018, 715, 23734, 334, 1705, 609, 623, 758, 2946, 3000, 3619, 563, 305, 636, 712, 814, 621, 602, 5616, 568, 2324, 593, 513, 3926, 540, 713, 2186, 267, 607, 649, 941, 6031, 267, 543, 621, 949, 723, 1360, 9621, 2934, 563, 5804, 1018, 649, 666, 1224, 593, 519, 5769, 267, 649, 18505, 602, 519, 1007, 2212, 3553, 11399, 575, 17344, 956, 267, 610, 8726, 1106, 713, 3926, 3217, 538, 519, 1439, 22086, 607, 513, 2582, 9322, 269, 24641, 28932, 2426, 779, 15283, 610, 7591, 1805, 566, 14296, 616, 1175, 513, 1007, 1106, 540, 8384, 1543, 267, 2141, 2404, 547, 513, 5985, 6049, 267, 2756, 690, 1868, 23641, 610, 824, 3926, 267, 5616, 779, 1587, 1131, 2874, 540, 513, 6292, 540, 5691, 4641, 575, 17344, 956, 609, 922, 1378, 16267, 543, 8642, 1770, 563, 763, 3926, 1131, 6451, 3750, 13652, 9535, 2029, 267, 1210, 8596, 543, 6620, 547, 16937, 519, 1483, 543, 16494, 10600, 269, 2060, 713, 8798, 267, 5616, 1131, 32433, 4641, 676, 1788, 532, 3615, 593, 1483, 5468, 267, 3976, 9256, 5691, 543, 21284, 4641, 563, 2414, 1118, 6927, 1256, 811, 4277, 267, 8840, 3377, 616, 602, 5616, 814, 1175, 9715, 16685, 293, 26475, 269, 901, 2754, 267, 8547, 538, 476, 1001, 274, 267, 1568, 538, 519, 1646, 540, 27354, 2559, 923, 3435, 585, 519, 3750, 267, 1519, 1382, 593, 519, 8229, 4276, 540, 519, 4064, 609, 519, 2634, 269, 1879, 713, 2754, 4718, 519, 1769, 267, 922, 1152, 3483, 729, 547, 5512, 3755, 547, 2170, 609, 5691, 543, 21284, 4641, 998, 8289, 563, 763, 1344, 649, 1205, 689, 2166, 1499, 10628, 568, 1360, 17077, 2943, 267, 543, 621, 949, 711, 581, 22973, 693, 782, 269, 1809, 952, 1018, 4667, 547, 581, 2469, 593, 267, 8197, 4523, 267, 1018, 568, 2386, 568, 602, 621, 786, 711, 2097, 607, 513, 1483, 9983, 269, 769, 519, 1482, 1259, 602, 5616, 1705, 609, 9335, 7348, 610, 14628, 6117, 1354, 267, 607, 1134, 607, 609, 1082, 3105, 1382, 3785, 267, 621, 1131, 711, 581, 513, 21173, 2856, 547, 1589, 602, 519, 2754, 1759, 538, 13738, 7348, 568, 4712, 585, 513, 1007, 1293, 6658, 538, 519, 2029, 5198, 540, 513, 1007, 5736, 563, 30238, 9708, 676, 5769, 3115, 14243, 321, 997, 320, 630, 5408, 782, 994, 268, 4432, 517, 30073, 814, 11751, 12108, 269, 1548, 1281, 713, 1611, 286, 910, 476, 2767, 4989, 267, 476, 1708, 273, 454, 268, 32454, 25758, 8121, 305, 4353, 5058, 10396, 14298, 18426, 32212, 8656, 910, 476, 2641, 5988, 267, 476, 1708, 273, 454, 268, 18040, 2969, 24912, 670, 4338, 303, 2894, 5058, 23166, 674, 19781, 19447, 10498, 6730, 5442, 4306, 8980, 305, 4456, 5442, 9167, 4629, 14154, 286, 910, 476, 1015, 5988, 267, 476, 1708, 273, 0, 12626, 12666, 1143, 267, 23882, 3706, 1090, 2632, 22675, 267, 18008, 543, 621, 6501, 29450, 1143, 267, 543, 929, 11701, 25847, 269, 5403, 19640, 1143, 31431, 3079, 513, 1514, 1782, 340, 2065, 267, 4070, 626, 2272, 540, 4641, 269, 5463, 476, 1015, 267, 476, 1001, 273, 25847, 3568, 2609, 602, 616, 4587, 267, 6793, 267, 543, 811, 4909, 982, 1010, 16472, 540, 2486, 269, 962, 15736, 12038, 540, 25847, 607, 1945, 811, 982, 513, 6071, 2804, 1062, 543, 646, 1256, 4682, 865, 2484, 269, 2904, 476, 1321, 267, 476, 1001, 275, 838, 1263, 6840, 929, 11701, 25847, 729, 2442, 10838, 519, 24141, 2797, 1318, 267, 2523, 519, 12316, 1318, 519, 3017, 729, 602, 621, 729, 711, 25847, 538, 1022, 2631, 540, 602, 2165, 538, 2413, 6165, 269, 2398, 11701, 1143, 4214, 568, 519, 2853, 610, 4507, 971, 607, 519, 14223, 540, 2113, 10560, 1143, 4371, 547, 581, 3335, 929, 11701, 269, 9210, 626, 655, 10999, 267, 2348, 15653, 519, 10206, 540, 606, 10446, 4540, 4641, 267, 2022, 19640, 1143, 3954, 625, 602, 269, 2398, 11701, 1143, 4214, 267, 519, 2113, 10560, 2065, 6891, 267, 1062, 267, 3609, 267, 610, 2409, 13840, 2404, 609, 519, 929, 1380, 2103, 269, 1403, 713, 568, 1514, 2065, 267, 621, 568, 513, 10583, 543, 12600, 25847, 585, 2367, 540, 5198, 267, 585, 519, 1528, 540, 1272, 269, 31012, 2288, 339, 540, 322, 6847, 25722, 1335, 664, 516, 1783, 3228, 1117, 29924, 626, 1002, 267, 514, 1080, 25954, 842, 515, 5908, 271, 338, 267, 25791, 1143, 13069, 877, 3228, 515, 14140, 339, 574, 27827, 28250, 1947, 1177, 1251, 532, 269, 744, 1873, 12245, 838, 1263, 2401, 476, 6642, 25171, 3607, 729, 835, 540, 519, 1034, 1713, 17024, 540, 519, 649, 31483, 14081, 267, 24141, 903, 1101, 9111, 269, 5450, 7469, 903, 1227, 267, 2022, 19640, 1143, 568, 1884, 790, 531, 626, 267, 8066, 602, 621, 568, 7543, 547, 3717, 25006, 827, 606, 10446, 4540, 4641, 563, 8967, 1263, 6840, 929, 11701, 1143, 543, 25847, 568, 606, 5140, 267, 855, 1360, 10053, 1433, 269, 1284, 1185, 1100, 1534, 894, 2250, 543, 723, 4061, 1869, 547, 32570, 267, 1020, 267, 543, 5721, 519, 269, 898, 15387, 602, 17779, 7960, 5612, 1354, 267, 1282, 267, 543, 1310, 519, 2034, 1158, 2112, 513, 521, 519, 16472, 540, 4998, 1143, 267, 799, 621, 30199, 585, 19765, 26305, 519, 10763, 10083, 540, 1379, 538, 3486, 1894, 607, 1134, 607, 519, 2956, 540, 519, 3486, 1949, 29450, 545, 269, 769, 1840, 267, 7005, 2486, 568, 1932, 8348, 547, 8956, 2043, 543, 1367, 1143, 269, 634, 7411, 540, 10747, 25847, 568, 7805, 547, 4896, 945, 8942, 547, 1353, 713, 2926, 534, 14985, 267, 711, 2547, 1317, 1018, 25847, 568, 610, 568, 711, 568, 2356, 513, 2339, 540, 1543, 1190, 7521, 269, 634, 2810, 7934, 1063, 605, 2280, 30353, 543, 536, 28123, 12251, 773, 786, 581, 865, 1390, 602, 519, 2324, 5049, 786, 4473, 909, 538, 4838, 543, 24057, 992, 519, 16918, 536, 28123, 12251, 773, 269, 3212, 848, 267, 1196, 1189, 556, 2106, 9529, 267, 476, 6977, 278, 21504, 566, 4266, 476, 866, 3584, 25847, 1686, 17404, 561, 5064, 267, 513, 269, 2398, 11701, 1143, 543, 25847, 729, 513, 1360, 4277, 960, 676, 838, 1263, 2401, 799, 4951, 519, 4276, 1063, 519, 11440, 24141, 1533, 543, 1082, 3344, 540, 25847, 269, 2398, 11701, 1143, 4214, 540, 929, 11701, 1143, 676, 519, 1863, 8675, 269, 12232, 12043, 7824, 5225, 2824, 513, 3898, 547, 6494, 269, 1975, 1263, 2401, 15527, 547, 519, 3409, 602, 1514, 3359, 4473, 538, 27437, 1185, 711, 13175, 563, 763, 24141, 9371, 538, 21099, 3486, 2219, 519, 7242, 540, 519, 1101, 1390, 7521, 2531, 7149, 519, 2351, 25086, 540, 3486, 1894, 3352, 269, 28632, 7160, 267, 476, 29575, 27149, 8287, 1957, 3724, 3370, 538, 476, 1001, 272, 267, 476, 5002, 278, 1626, 6858, 277, 280, 1957, 3724, 3370, 538, 476, 1001, 273, 267, 476, 5002, 278, 1626, 5780, 280, 277, 269, 2398, 11701, 1143, 543, 25847, 267, 476, 272, 538, 799, 267, 538, 476, 4489, 280, 267, 1775, 3459, 547, 1448, 856, 713, 5837, 13766, 1510, 799, 972, 666, 581, 1100, 8628, 2679, 269, 634, 23243, 2934, 540, 929, 11701, 1143, 267, 6719, 269, 634, 2804, 2203, 540, 519, 3673, 626, 5428, 729, 1572, 6144, 32236, 269, 5221, 540, 519, 18678, 5132, 540, 938, 2062, 15289, 338, 538, 4142, 21899, 741, 2729, 267, 741, 6830, 17480, 267, 543, 741, 10723, 8956, 547, 519, 563, 3086, 267, 13071, 581, 1570, 626, 543, 2965, 3140, 1934, 269, 1975, 1263, 6840, 929, 11701, 25847, 4320, 476, 1839, 3390, 476, 274, 1649, 682, 342, 529, 269, 2398, 11701, 1143, 4214, 540, 929, 11701, 1143, 676, 5789, 26713, 19986, 3122, 269, 6270, 2609, 11478, 1510, 1864, 543, 4797, 547, 1020, 1510, 1864, 267, 538, 1249, 14669, 547, 1864, 269, 11569, 267, 519, 1603, 540, 513, 3102, 1686, 540, 25847, 1131, 581, 606, 7543, 4305, 585, 1022, 2582, 2278, 267, 543, 1131, 723, 547, 581, 269, 2991, 2542, 713, 798, 596, 2015, 3054, 513, 24180, 563, 763, 1071, 1456, 540, 3051, 26494, 543, 24141, 903, 3084, 24180, 5428, 10351, 320, 1517, 269, 2398, 11701, 1143, 568, 513, 1360, 9120, 3364, 799, 5036, 3294, 1996, 1169, 4990, 540, 5354, 543, 4254, 22364, 269, 3689, 2192, 1459, 930, 2596, 12125, 689, 519, 4346, 540, 562, 21532, 27437, 543, 1287, 930, 5931, 689, 930, 1382, 2959, 827, 519, 2804, 2203, 540, 562, 21532, 575, 269, 634, 2413, 24180, 3350, 949, 581, 18584, 689, 519, 3919, 676, 7542, 27849, 561, 817, 4150, 267, 693, 682, 2354, 545, 267, 949, 476, 2537, 267, 476, 5908, 274, 267, 540, 519, 8471, 24141, 2324, 332, 839, 7681, 269, 1975, 1263, 6840, 929, 11701, 25847, 729, 2442, 10838, 519, 24141, 2797, 1318, 267, 2523, 519, 12316, 1318, 519, 3017, 729, 602, 621, 729, 711, 25847, 538, 1022, 2631, 540, 602, 2165, 538, 2413, 6165, 269, 634, 4967, 17663, 267, 693, 2547, 538, 851, 267, 519, 10351, 1400, 3942, 538, 519, 1646, 540, 519, 3003, 5098, 4843, 538, 602, 960, 269, 2398, 11701, 1143, 543, 25847, 522, 1873, 12245, 838, 1263, 2401, 4647, 269, 2398, 11701, 1143, 13408, 519, 2853, 543, 29625, 540, 519, 929, 1380, 2103, 269, 4706, 1934, 929, 11701, 1143, 543, 25847, 676, 522, 1873, 12245, 838, 1263, 2401, 269, 13317, 1143, 8659, 519, 5452, 540, 922, 1378, 9552, 936, 335, 3174, 267, 13864, 267, 3092, 269, 2398, 11701, 1143, 543, 25847, 522, 1873, 12245, 838, 1263, 2401, 3817, 476, 6434, 621, 568, 519, 12093, 540, 519, 2025, 1433, 3370, 1279, 1394, 4572, 271, 649, 2119, 938, 1377, 1655, 547, 2285, 596, 3501, 1433, 855, 930, 942, 267, 1813, 547, 2025, 2835, 930, 20541, 687, 899, 7508, 610, 8697, 3817, 2451, 538, 519, 1433, 269, 6736, 519, 3646, 540, 536, 657, 534, 21103, 267, 18665, 597, 3650, 267, 1666, 577, 267, 543, 1082, 1866, 267, 621, 568, 1869, 4749, 7150, 610, 22466, 267, 538, 1312, 2442, 543, 14046, 3332, 267, 602, 646, 326, 601, 513, 9112, 1010, 6138, 540, 519, 1533, 609, 606, 3750, 547, 24886, 519, 5114, 776, 543, 15061, 17710, 540, 929, 17892, 538, 1010, 1554, 267, 543, 536, 7873, 19861, 267, 6462, 267, 543, 267, 998, 1010, 269, 1403, 5734, 2401, 568, 513, 24180, 267, 689, 945, 543, 1018, 1705, 646, 1451, 827, 25847, 563, 763, 2243, 814, 1082, 5011, 267, 607, 609, 782, 1950, 2055, 543, 1256, 2241, 3283, 269, 1975, 1263, 2401, 11130, 602, 25847, 729, 519, 1152, 2104, 602, 11122, 2510, 1185, 267, 610, 789, 5185, 3045, 8811, 7976, 269, 589, 5594, 23762, 4528, 540, 513, 2911, 2016, 547, 513, 1895, 540, 1053, 538, 476, 1960, 272, 676, 18422, 562, 17480, 267, 3735, 28579, 530, 335, 333, 345, 972, 568, 1390, 10539, 538, 519, 1158, 2221, 936, 713, 2243, 269, 1306, 1775, 1294, 621, 267, 5683, 25847, 568, 513, 6041, 540, 519, 6891, 540, 519, 2085, 267, 1141, 24084, 2989, 5718, 568, 8956, 20129, 543, 10279, 20129, 547, 1683, 585, 519, 2686, 267, 5289, 543, 2797, 8171, 540, 519, 1004, 538, 519, 2547, 12362, 1106, 2009, 1247, 693, 519, 1482, 942, 8600, 519, 17069, 864, 585, 741, 2686, 5692, 267, 8726, 602, 949, 581, 269, 4728, 476, 1015, 267, 476, 1001, 277, 713, 568, 513, 1032, 950, 267, 27229, 585, 519, 1101, 942, 2479, 267, 649, 723, 513, 2101, 4820, 344, 11134, 945, 814, 4465, 2829, 538, 513, 16232, 3119, 543, 2943, 568, 849, 513, 1582, 1372, 743, 1563, 24180, 269, 634, 7242, 540, 519, 1101, 1390, 7521, 2531, 7149, 519, 2351, 25086, 540, 3486, 1894, 3352, 269, 24686, 582, 1143, 887, 1206, 883, 929, 11701, 1143, 950, 596, 27642, 621, 568, 519, 1101, 16495, 269, 1717, 267, 972, 568, 513, 2489, 13618, 602, 519, 1585, 3506, 540, 25847, 2671, 930, 1455, 2934, 602, 666, 581, 24298, 607, 5205, 269, 4317, 1143, 3568, 2609, 602, 616, 4587, 267, 6793, 267, 543, 811, 4909, 982, 1010, 16472, 540, 2486, 269, 1548, 568, 519, 3017, 1063, 929, 11701, 25847, 543, 3673, 1143, 269, 1403, 5734, 2401, 568, 513, 24180, 267, 689, 945, 543, 1018, 1705, 646, 1451, 269, 898, 568, 513, 2230, 1141, 1004, 267, 1419, 21046, 267, 2097, 1927, 547, 2671, 1426, 267, 4235, 7401, 269, 2398, 11701, 1143, 2376, 827, 929, 11701, 1143, 676, 519, 1863, 8675, 269, 1975, 1263, 2401, 522, 1873, 12245, 929, 11701, 1143, 543, 25847, 2545, 1457, 608, 331, 2320, 529, 563, 2171, 991, 18997, 909, 547, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 834, 12741, 1055, 13426, 1038, 1820, 834, 272, 264, 3619, 1394, 547, 4702, 4799, 1038, 1820, 834, 273, 264, 674, 1460, 519, 1379, 31026, 527, 26142, 333, 4840, 13872, 825, 3116, 912, 1038, 1820, 834, 272, 264, 3619, 1394, 547, 4702, 26142, 333, 4840, 825, 1985, 815, 6151, 17750, 2891, 285, 1862, 19515, 8931, 825, 2119, 912, 1038, 952, 476, 703, 263, 10113, 264, 2652, 476, 272, 912, 2018, 4702, 4433, 3726, 267, 32367, 994, 1038, 8640, 703, 263, 10113, 264, 2652, 476, 273, 912, 2018, 952, 32367, 2652, 476, 271, 912, 3546, 1820, 834, 2791, 798, 711, 723, 519, 2556, 2645, 269, 9320, 596, 1058, 315, 454, 4584, 909, 519, 32367, 538, 4702, 4799, 2018, 3116, 912, 3546, 1820, 834, 763, 1379, 31026, 527, 568, 6378, 4799, 3546, 5254, 12442, 314, 271, 316, 815, 834, 12741, 4840, 3546, 23249, 4590, 3546, 1379, 318, 935, 706, 527, 4433, 3726, 267, 32367, 994, 1038, 3116, 912, 2018, 4636, 15220, 4069, 4590, 2018, 1379, 318, 935, 706, 527, 4433, 3726, 267, 32367, 994, 8931, 825, 4849, 28759, 912, 1038, 1820, 834, 10831, 7490, 4799, 8931, 825, 4849, 3590, 2750, 527, 912, 1038, 1820, 834, 2750, 1746, 907, 4799, 8931, 825, 4849, 912, 1038, 1820, 834, 5591, 2856, 1018, 4682, 4636, 281, 14307, 2300, 318, 16769, 3890, 314, 271, 2639, 1038, 6318, 7531, 11034, 318, 3336, 3890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 454, 5035, 7502, 1707, 21652, 2401, 912, 825, 5727, 1607, 568, 1141, 649, 3713, 1022, 21611, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 5727, 8923, 1847, 593, 269, 1703, 4986, 8345, 1934, 269, 26419, 256, 20701, 1038, 1780, 692, 825, 1219, 2638, 4311, 267, 26738, 267, 1915, 267, 6060, 337, 264, 9847, 7183, 912, 1038, 5727, 13425, 1996, 513, 16580, 609, 513, 1286, 610, 5721, 563, 1038, 769, 2013, 519, 1915, 1315, 6345, 568, 5734, 267, 649, 786, 1289, 519, 5734, 1505, 547, 6023, 602, 2013, 780, 1038, 7490, 4063, 281, 1306, 513, 5734, 676, 1286, 949, 581, 6654, 267, 621, 781, 513, 2370, 1114, 609, 14884, 1384, 1038, 1284, 3513, 6023, 519, 2013, 602, 519, 1915, 568, 711, 593, 513, 5721, 267, 607, 646, 29860, 1524, 547, 454, 1038, 519, 986, 2812, 267, 607, 513, 5734, 543, 6023, 621, 8449, 607, 513, 5734, 676, 1286, 563, 1038, 29185, 1038, 952, 1582, 18994, 295, 527, 3528, 10111, 263, 30726, 267, 26738, 264, 610, 1582, 18994, 8253, 4002, 307, 1778, 263, 30726, 267, 26738, 2187, 2018, 1915, 19544, 527, 4590, 2018, 6060, 337, 31927, 318, 9557, 263, 7742, 2020, 825, 1219, 568, 295, 527, 3528, 10111, 4311, 267, 1915, 267, 26738, 264, 9847, 536, 944, 912, 1038, 5727, 14303, 5281, 513, 1630, 18978, 952, 5734, 676, 513, 1286, 27969, 692, 1038, 952, 26738, 269, 6943, 11203, 1412, 322, 1513, 12466, 2018, 2132, 692, 1038, 585, 838, 1679, 538, 26738, 4732, 335, 27866, 912, 2018, 952, 1582, 16192, 5804, 29381, 10955, 613, 263, 30726, 267, 838, 1679, 264, 543, 1582, 16000, 5804, 14738, 10955, 613, 18692, 3546, 1915, 267, 838, 1679, 454, 2018, 476, 2187, 3546, 2132, 6936, 692, 1038, 2132, 8771, 692, 825, 1219, 568, 8253, 4002, 307, 1778, 4311, 267, 1915, 267, 26738, 264, 9847, 536, 944, 912, 1038, 5727, 3674, 519, 1915, 711, 593, 519, 5721, 286, 901, 1131, 1611, 267, 646, 29860, 5196, 519, 986, 2812, 780, 1038, 12389, 593, 519, 6316, 286, 3502, 7109, 730, 538, 31530, 1375, 518, 4975, 563, 1038, 29185, 1038, 952, 26738, 269, 6943, 2652, 1412, 322, 1513, 12466, 2018, 2132, 8771, 692, 1038, 585, 838, 1679, 538, 26738, 4732, 335, 27866, 912, 2018, 952, 1582, 16192, 5804, 29381, 10955, 613, 263, 30726, 267, 838, 1679, 264, 543, 1582, 16000, 5804, 14738, 10955, 613, 18692, 3546, 1915, 267, 838, 1679, 454, 2018, 476, 2187, 3546, 2132, 8771, 692, 1038, 2132, 6936, 692, 825, 1219, 1318, 5804, 29381, 10955, 613, 4311, 267, 1915, 267, 838, 1679, 264, 9847, 536, 944, 912, 1038, 5727, 10267, 4242, 952, 519, 1915, 568, 593, 519, 1318, 2427, 689, 519, 2451, 2427, 519, 838, 1679, 27969, 692, 1038, 2132, 1915, 10947, 318, 12296, 3890, 1341, 1915, 269, 6570, 13448, 3436, 838, 1679, 269, 6570, 13448, 692, 825, 1219, 2451, 5804, 14738, 10955, 613, 4311, 267, 1915, 267, 838, 1679, 264, 9847, 536, 944, 912, 1038, 5727, 10267, 4242, 952, 519, 1915, 568, 593, 519, 2451, 2427, 689, 519, 1318, 2427, 519, 838, 1679, 27969, 692, 1038, 2132, 838, 1679, 269, 6570, 13448, 1341, 838, 1679, 10947, 318, 12296, 3890, 3436, 1915, 269, 6570, 13448, 454, 0, 5814, 27368, 7531, 5035, 7736, 29773, 263, 6853, 18524, 4732, 335, 1679, 2529, 335, 1679, 2187, 825, 5727, 24478, 525, 513, 12001, 25351, 7736, 29773, 1975, 1679, 693, 519, 2016, 19024, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 1064, 13448, 267, 1064, 14729, 2187, 1038, 27368, 4732, 335, 1679, 2529, 335, 1679, 14857, 8181, 9191, 1345, 994, 1038, 1582, 269, 13548, 815, 27368, 2529, 16577, 8443, 736, 267, 476, 736, 3910, 27368, 2529, 13612, 3201, 303, 11190, 267, 476, 3953, 994, 1038, 1582, 269, 6570, 13448, 815, 1064, 13448, 454, 1038, 1582, 269, 6570, 14729, 815, 1064, 14729, 454, 1038, 1582, 269, 5550, 815, 1582, 269, 13548, 10947, 318, 5550, 10797, 825, 1219, 2721, 4311, 267, 5496, 2187, 1038, 5496, 269, 4565, 527, 4311, 269, 13548, 267, 630, 1345, 269, 6570, 13448, 267, 1582, 269, 6570, 14729, 11723, 825, 1219, 9337, 4311, 2187, 1038, 1582, 269, 5550, 11859, 815, 1582, 269, 6570, 13448, 454, 1038, 1582, 269, 5550, 13885, 815, 1582, 269, 6570, 14729, 692, 825, 1219, 6603, 4311, 267, 6345, 2187, 1038, 5727, 305, 11367, 606, 519, 12005, 540, 519, 2458, 4575, 26761, 3079, 540, 519, 12001, 1404, 14516, 6439, 780, 1038, 717, 1161, 519, 21903, 519, 6345, 568, 1869, 7555, 538, 519, 1439, 29773, 563, 1038, 29185, 1038, 1582, 269, 13548, 815, 6345, 269, 13548, 7531, 5035, 7736, 345, 2158, 912, 825, 5727, 24478, 525, 782, 2877, 7736, 345, 2158, 543, 2516, 873, 585, 2653, 1569, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 4318, 345, 272, 815, 7736, 29773, 263, 25838, 267, 476, 13679, 994, 1038, 1582, 4318, 345, 273, 815, 7736, 29773, 263, 14596, 267, 476, 13679, 994, 1038, 1582, 4318, 345, 274, 815, 7736, 29773, 263, 30697, 267, 476, 13679, 994, 1038, 1582, 4318, 345, 275, 815, 7736, 29773, 263, 279, 1789, 267, 476, 13679, 994, 1038, 1582, 4318, 345, 276, 815, 7736, 29773, 263, 6200, 271, 267, 476, 13679, 994, 1038, 1582, 3052, 4981, 815, 27368, 4732, 335, 1679, 14371, 4981, 4590, 1038, 1582, 3052, 4981, 14491, 4311, 4318, 345, 272, 267, 1582, 4318, 345, 273, 267, 1582, 4318, 345, 274, 267, 1582, 4318, 345, 275, 267, 1582, 4318, 345, 276, 2020, 825, 1219, 2638, 318, 1721, 318, 18943, 4311, 267, 1915, 267, 6060, 337, 2187, 1038, 5727, 10267, 4242, 952, 1022, 540, 519, 1439, 345, 2158, 538, 519, 1895, 2458, 728, 609, 519, 2016, 10886, 780, 1038, 2913, 519, 10886, 17869, 952, 865, 454, 1038, 543, 681, 11367, 519, 2063, 12005, 540, 519, 10886, 454, 1038, 543, 5455, 30098, 519, 24143, 337, 454, 1038, 29185, 1038, 6603, 318, 754, 29773, 815, 27368, 4732, 335, 1679, 4732, 335, 1679, 322, 3326, 728, 1415, 263, 30726, 267, 1582, 3052, 4981, 994, 1038, 952, 6603, 318, 754, 29773, 912, 2018, 1915, 269, 3832, 518, 4590, 2018, 6603, 318, 754, 29773, 18622, 3737, 263, 30726, 994, 2018, 1915, 269, 3724, 15461, 318, 11034, 4590, 2018, 6060, 337, 18622, 3737, 318, 2998, 531, 4590, 2018, 6060, 337, 14491, 318, 9557, 263, 4335, 994, 0, 5814, 1535, 6447, 269, 564, 872, 9950, 2211, 21698, 607, 21180, 7531, 3698, 3635, 3287, 6447, 2187, 825, 5727, 8340, 519, 3077, 3693, 267, 1039, 519, 1007, 6221, 267, 543, 2132, 519, 9168, 24701, 454, 825, 5569, 563, 825, 8173, 825, 562, 338, 815, 2715, 257, 339, 9899, 834, 10674, 2517, 27926, 514, 269, 7749, 5155, 15241, 29335, 11305, 1712, 270, 10090, 545, 2389, 872, 14870, 6447, 20350, 16875, 834, 324, 9899, 834, 10674, 2517, 335, 14766, 3820, 7933, 322, 27160, 6123, 270, 272, 269, 272, 270, 257, 8679, 825, 3597, 815, 21180, 269, 5228, 11415, 3287, 6447, 994, 825, 585, 562, 538, 3597, 269, 3438, 2891, 346, 260, 338, 348, 27161, 257, 4939, 562, 338, 14277, 339, 19312, 2187, 1038, 952, 562, 26098, 3667, 2891, 339, 281, 20880, 27160, 281, 27583, 2580, 834, 2580, 562, 338, 264, 2652, 834, 288, 14576, 540, 10979, 543, 9605, 13426, 2018, 562, 6910, 28956, 318, 14403, 15405, 825, 585, 18772, 267, 579, 686, 538, 562, 338, 29096, 10031, 1038, 21180, 269, 2958, 3563, 5332, 1868, 10628, 263, 2181, 25785, 267, 579, 686, 994, 825, 2132, 21180, 6745, 739, 2590, 20172, 267, 17683, 6889, 684, 545, 1712, 257, 9239, 3698, 1007, 318, 14403, 10031, 825, 5727, 8620, 519, 1007, 1126, 6221, 269, 2667, 6979, 519, 1482, 4408, 335, 2167, 11837, 607, 519, 454, 825, 3635, 1599, 563, 825, 8173, 825, 562, 815, 21180, 9950, 2211, 2891, 339, 281, 27161, 5602, 825, 524, 815, 21180, 9950, 2211, 2891, 339, 281, 20880, 2580, 2715, 257, 6943, 9899, 834, 291, 889, 4802, 11759, 257, 348, 994, 825, 562, 6910, 6262, 994, 825, 512, 815, 21180, 9950, 2211, 2891, 324, 281, 27583, 5602, 825, 512, 269, 3667, 815, 834, 288, 3171, 770, 585, 595, 4900, 4840, 825, 524, 6910, 6025, 994, 825, 546, 815, 21180, 9950, 2211, 2891, 324, 281, 11845, 5602, 825, 546, 269, 3667, 815, 834, 1220, 276, 4840, 825, 524, 6910, 5560, 994, 825, 2132, 562, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 609, 1930, 2891, 907, 270, 343, 6447, 270, 9987, 11859, 6447, 8442, 607, 535, 912, 1038, 1535, 6447, 815, 535, 18667, 4590, 1038, 1820, 263, 1410, 9052, 3287, 6447, 4917, 0, 258, 8722, 17010, 900, 5124, 476, 274, 552, 19355, 324, 12380, 29974, 31583, 476, 1240, 269, 6860, 700, 4811, 454, 258, 4201, 2803, 281, 23621, 6210, 22728, 1488, 571, 17844, 1299, 2871, 559, 615, 1889, 3213, 601, 14833, 9540, 2098, 545, 926, 692, 5228, 15259, 1104, 2619, 7531, 3698, 6460, 6025, 13759, 267, 9041, 8971, 8782, 16535, 262, 2567, 476, 1948, 3221, 528, 632, 10822, 5451, 26369, 16948, 1347, 454, 825, 952, 9041, 8971, 2652, 1412, 16535, 12466, 1038, 2132, 1193, 263, 577, 337, 17301, 6025, 13759, 267, 476, 273, 21875, 825, 3116, 912, 1038, 2132, 3077, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 19336, 815, 1496, 9131, 318, 262, 585, 1535, 538, 2039, 263, 3953, 13580, 585, 586, 538, 2039, 263, 9083, 275, 13580, 476, 1948, 524, 6319, 1319, 10961, 6446, 6186, 1794, 523, 541, 5451, 522, 1609, 5964, 538, 2772, 798, 18074, 692, 825, 952, 2619, 18994, 12803, 3488, 309, 8461, 17902, 262, 2567, 476, 1948, 2357, 881, 320, 694, 522, 818, 638, 16343, 966, 8461, 17902, 795, 5451, 2291, 324, 454, 1038, 609, 1930, 3488, 309, 8461, 17902, 3299, 1412, 337, 10807, 607, 535, 912, 2018, 19336, 815, 20886, 324, 2211, 585, 3693, 538, 1592, 263, 1467, 13580, 585, 1899, 538, 535, 316, 476, 1948, 693, 783, 21289, 513, 1319, 10961, 632, 1035, 867, 334, 635, 522, 818, 638, 16343, 454, 27030, 825, 3116, 281, 476, 1948, 694, 562, 14244, 2291, 597, 454, 1038, 609, 1930, 3488, 309, 8461, 17902, 3299, 1412, 342, 266, 10807, 607, 535, 912, 2018, 585, 1775, 538, 2039, 263, 9083, 275, 2187, 3546, 585, 795, 538, 2039, 263, 3953, 2187, 7386, 535, 22182, 263, 30467, 5157, 6012, 329, 8079, 476, 1948, 840, 523, 3832, 522, 818, 638, 16343, 635, 513, 1319, 10961, 538, 2772, 454, 3546, 535, 22182, 28361, 333, 10807, 476, 1948, 6446, 3630, 632, 13274, 3873, 16948, 5283, 1817, 3308, 21289, 23843, 13121, 1025, 665, 657, 692, 825, 3593, 17750, 815, 3403, 3488, 11900, 1068, 1239, 1826, 630, 16535, 270, 10420, 2567, 1412, 264, 476, 1948, 7895, 324, 10652, 320, 1303, 2784, 320, 798, 721, 340, 5451, 26369, 630, 16535, 5451, 26369, 522, 340, 1286, 1461, 2020, 825, 952, 3593, 17750, 2652, 1412, 16535, 12466, 1038, 10822, 17750, 815, 3403, 3488, 11900, 1068, 3787, 5311, 281, 1412, 264, 476, 1948, 1202, 518, 23843, 13005, 3524, 17845, 333, 25556, 632, 11353, 454, 1038, 3625, 815, 703, 9272, 3488, 16521, 3625, 630, 272, 910, 476, 9083, 275, 2567, 1412, 4297, 476, 1948, 1202, 518, 23843, 798, 1025, 27494, 1100, 4018, 632, 557, 1583, 2892, 17383, 454, 1038, 31632, 815, 703, 9272, 3488, 16521, 31632, 630, 272, 910, 476, 3953, 2567, 1412, 4297, 476, 1948, 1202, 518, 23843, 798, 31632, 1100, 4018, 632, 557, 1583, 2892, 17383, 692, 1038, 19336, 314, 23026, 910, 476, 272, 6012, 2421, 974, 910, 476, 272, 316, 815, 6460, 6357, 514, 17750, 264, 476, 1948, 513, 1319, 10961, 2256, 2041, 522, 27089, 1202, 518, 18480, 10652, 334, 721, 340, 5451, 26369, 692, 1038, 609, 1930, 3488, 309, 8461, 17902, 3299, 1412, 342, 266, 10807, 607, 535, 912, 8931, 2018, 585, 1775, 538, 2039, 263, 9083, 275, 2187, 3546, 585, 795, 538, 2039, 263, 3953, 2187, 7386, 535, 22182, 263, 30467, 5157, 6012, 329, 8079, 476, 1948, 693, 783, 21289, 522, 818, 638, 16343, 454, 3546, 535, 22182, 28361, 333, 17210, 825, 8640, 3593, 17750, 2652, 1412, 10420, 12466, 1038, 1347, 17750, 815, 3403, 3488, 11900, 1068, 1915, 281, 1412, 264, 476, 1948, 1202, 518, 23843, 798, 1286, 1461, 454, 1038, 3625, 815, 703, 9272, 3488, 16521, 3625, 630, 272, 910, 476, 9083, 275, 2567, 1412, 4297, 476, 1948, 1202, 518, 23843, 798, 1025, 27494, 1100, 4018, 632, 557, 1583, 2892, 17383, 454, 1038, 31632, 815, 703, 9272, 3488, 16521, 31632, 630, 272, 910, 476, 3953, 2567, 1412, 4297, 476, 1948, 1202, 518, 23843, 798, 31632, 1100, 4018, 632, 557, 1583, 2892, 17383, 692, 1038, 19336, 314, 23026, 910, 476, 272, 6012, 2421, 974, 910, 476, 272, 316 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24306, 540, 513, 13216, 7089, 910, 10417, 692, 30607, 19247, 692, 2171, 666, 946, 1546, 27770, 643, 516, 781, 14497, 547, 5173, 1950, 1297, 5072, 269, 769, 1082, 2665, 267, 891, 2409, 585, 12719, 1950, 1297, 5072, 666, 581, 3730, 267, 855, 585, 2362, 7060, 649, 1058, 917, 519, 2489, 2185, 9912, 3391, 585, 12719, 1950, 1297, 5072, 269, 769, 1931, 547, 946, 1546, 27770, 643, 516, 781, 14497, 547, 1265, 1950, 1297, 5072, 649, 1058, 723, 606, 1620, 540, 519, 25066, 1106, 540, 1950, 2338, 780, 30607, 3690, 5296, 692, 4131, 781, 2911, 827, 875, 547, 1265, 519, 5072, 540, 513, 1950, 1297, 269, 1284, 3513, 1376, 609, 606, 1383, 269, 4855, 519, 13306, 5072, 540, 476, 279, 328, 269, 594, 1616, 547, 2253, 713, 676, 4259, 909, 606, 3830, 267, 1990, 7750, 539, 11224, 476, 279, 328, 269, 5457, 267, 519, 13306, 3597, 540, 476, 279, 328, 1131, 581, 513, 1297, 602, 950, 7750, 539, 3947, 596, 476, 279, 328, 865, 782, 519, 13306, 5072, 723, 547, 14183, 713, 3830, 865, 594, 6415, 3168, 585, 3435, 547, 713, 3830, 563, 3086, 1577, 781, 8263, 602, 519, 13306, 5072, 1990, 616, 540, 519, 1106, 678, 25482, 23940, 7132, 1775, 20534, 23940, 602, 568, 1577, 781, 8263, 789, 2811, 782, 538, 4645, 1106, 269, 1403, 789, 616, 267, 1287, 594, 666, 1175, 13306, 873, 1210, 1546, 27770, 643, 516, 781, 14497, 543, 594, 849, 1616, 547, 2328, 476, 279, 328, 538, 4645, 1106, 621, 781, 2965, 7168, 2653, 1317, 476, 279, 328, 519, 1448, 568, 476, 279, 4559, 2476, 689, 519, 5169, 865, 519, 29870, 568, 476, 279, 543, 922, 4661, 1141, 649, 723, 513, 2603, 540, 5079, 855, 519, 1034, 6654, 3903, 568, 14039, 936, 476, 273, 269, 1809, 1577, 781, 3314, 602, 649, 1223, 849, 1039, 476, 273, 7032, 547, 602, 543, 602, 1131, 849, 581, 513, 3903, 269, 1284, 1223, 1039, 1776, 476, 273, 7032, 543, 602, 786, 581, 513, 3903, 1776, 476, 273, 7032, 543, 865, 593, 865, 1577, 781, 1832, 602, 538, 2247, 855, 1318, 1631, 2328, 25482, 540, 14039, 936, 476, 273, 7132, 1775, 20534, 14039, 936, 476, 273, 269, 1325, 2431, 267, 1577, 781, 4228, 713, 1577, 781, 14458, 713, 1210, 519, 1546, 27770, 643, 516, 781, 14497, 267, 649, 1205, 678, 7750, 539, 25482, 540, 267, 3314, 596, 9062, 519, 4661, 676, 476, 274, 267, 25482, 476, 274, 23940, 7132, 1775, 20534, 476, 274, 23940, 543, 602, 11224, 476, 279, 6523, 710, 14039, 936, 476, 273, 7132, 1775, 20534, 14039, 936, 476, 273, 269, 3767, 585, 891, 1079, 5011, 547, 581, 3160, 594, 991, 678, 7750, 539, 547, 3160, 476, 279, 543, 594, 991, 476, 274, 23940, 547, 3160, 14039, 936, 476, 273, 267, 1631, 3314, 621, 3085, 1405, 1175, 723, 547, 581, 14039, 936, 476, 273, 621, 1223, 581, 14039, 936, 476, 273, 7132, 476, 273, 14039, 610, 14039, 936, 476, 273, 7132, 476, 275, 14039, 267, 14039, 936, 476, 273, 7132, 476, 273, 333, 14039, 1022, 1256, 2789, 540, 14039, 267, 865, 1101, 540, 782, 713, 678, 7750, 539, 11224, 476, 279, 1797, 678, 814, 547, 581, 476, 273, 1318, 267, 3314, 594, 6415, 3168, 585, 1483, 1297, 2626, 602, 781, 519, 602, 781, 2469, 547, 581, 519, 3259, 519, 29870, 540, 1250, 5072, 782, 540, 873, 786, 723, 513, 29870, 540, 476, 273, 269, 1548, 827, 519, 4661, 286, 594, 7941, 1312, 5011, 676, 476, 274, 543, 594, 1205, 14039, 936, 476, 277, 7132, 476, 273, 333, 14039, 936, 476, 274, 269, 1879, 562, 11224, 476, 271, 594, 3513, 1205, 14039, 936, 476, 277, 865, 835, 4661, 594, 1223, 946, 568, 14039, 936, 476, 277, 269, 2913, 781, 1376, 609, 602, 835, 267, 865, 835, 3597, 1131, 581, 1990, 11224, 519, 29870, 540, 476, 273, 2053, 25482, 540, 14039, 936, 476, 277, 7132, 1775, 20534, 14039, 936, 476, 277, 269, 15328, 710, 540, 14039, 936, 476, 277, 568, 3597, 476, 274, 936, 476, 273, 865, 713, 568, 476, 273, 2053, 3597, 476, 274, 936, 476, 273, 522, 3591, 7132, 543, 519, 20534, 540, 14039, 936, 476, 277, 568, 513, 3368, 865, 1775, 2053, 513, 3368, 267, 476, 273, 2053, 3597, 476, 274, 936, 476, 273, 568, 3597, 476, 274, 267, 476, 273, 2053, 513, 3368, 568, 476, 272, 865, 594, 1205, 1775, 267, 20994, 827, 602, 267, 543, 602, 781, 835, 540, 1250, 5072, 3597, 476, 274, 7132, 1775, 563, 3086, 594, 1205, 513, 2034, 3597, 952, 594, 1577, 562, 3160, 476, 272, 269, 1403, 562, 11224, 476, 272, 1287, 594, 6415, 4946, 476, 273, 7032, 936, 476, 274, 547, 14039, 936, 476, 277, 267, 476, 273, 7032, 936, 476, 274, 568, 519, 1482, 607, 476, 275, 7032, 936, 476, 277, 865, 476, 275, 14039, 936, 476, 277, 7132, 14039, 936, 476, 277, 568, 476, 276, 7032, 936, 476, 277, 602, 781, 1250, 1007, 4661, 865, 1990, 11224, 476, 273, 25482, 476, 276, 7032, 936, 476, 277, 7132, 1775, 20534, 476, 276, 7032, 936, 476, 277, 543, 594, 1205, 476, 273, 2053, 519, 25482, 540, 476, 276, 7032, 936, 476, 277, 568, 14263, 3597, 476, 274, 936, 476, 273, 543, 519, 20534, 540, 14039, 476, 276, 7032, 936, 476, 277, 568, 513, 3368, 1586, 865, 594, 1205, 14263, 3597, 476, 274, 7132, 1775, 602, 781, 1250, 2034, 3597, 563, 7069, 3791, 3597, 594, 1205, 950, 562, 11224, 476, 273, 269, 1879, 562, 11224, 476, 273, 594, 723, 476, 275, 7032, 936, 476, 274, 543, 4946, 476, 275, 7032, 936, 476, 274, 799, 568, 519, 1482, 607, 4946, 476, 279, 7032, 936, 476, 277, 267, 14039, 936, 476, 277, 7132, 476, 279, 7032, 936, 476, 277, 568, 476, 280, 14039, 936, 476, 277, 543, 476, 280, 7032, 936, 476, 277, 568, 519, 1482, 607, 476, 274, 7032, 936, 476, 273, 865, 1990, 11224, 476, 273, 25482, 476, 274, 7032, 936, 476, 273, 7132, 1775, 20534, 476, 274, 7032, 936, 476, 273, 543, 713, 835, 781, 2653, 476, 274, 7032, 936, 476, 273, 568, 713, 18746, 4287, 269, 634, 25482, 540, 476, 274, 7032, 936, 476, 273, 568, 476, 271, 543, 519, 20534, 540, 476, 274, 7032, 936, 476, 273, 568, 910, 272, 865, 594, 1205, 476, 273, 2053, 476, 271, 7132, 1775, 2053, 910, 272, 538, 824, 1913, 910, 273, 328, 543, 621, 7140, 856, 602, 594, 6415, 2944, 563, 2252, 594, 7229, 585, 562, 11224, 476, 274, 594, 9364, 1439, 909, 3478, 519, 3169, 1482, 3597, 594, 3893, 1934, 269, 1403, 594, 5173, 585, 562, 11224, 476, 275, 594, 9364, 1205, 713, 835, 267, 562, 11224, 476, 276, 594, 9364, 1205, 713, 835, 267, 594, 1832, 15203, 998, 891, 936, 543, 936, 1586, 621, 7140, 856, 602, 789, 2811, 1152, 476, 274, 3982, 5072, 476, 274, 3982, 13306, 5072, 540, 1022, 1950, 1297, 269, 634, 1297, 540, 5072, 11224, 519, 4994, 540, 519, 5072, 865, 513, 11359, 519, 1297, 540, 11359, 3597, 1131, 581, 476, 276, 519, 1297, 540, 18749, 5072, 1131, 581, 476, 278, 865, 1175, 1832, 602, 538, 2247, 950, 596, 2811, 6061, 555, 572, 596, 3513, 1152, 1205, 476, 274, 3982, 13306, 5072, 540, 513, 1297, 269, 1656, 538, 1840, 547, 602, 1577, 781, 1491, 513, 1413, 540, 519, 3113, 540, 891, 2338, 594, 4312, 28367, 873, 856, 1934, 267, 5469, 782, 476, 274, 540, 873, 723, 513, 29870, 540, 476, 273, 789, 616, 693, 519, 1482, 3845, 689, 476, 271, 543, 789, 2811, 782, 27101, 789, 723, 476, 274, 2407, 10047, 15340, 519, 5086, 1063, 15654, 5072, 568, 476, 6344, 5232, 713, 2141, 4523, 609, 5072, 789, 2141, 723, 713, 15340, 543, 789, 2141, 723, 519, 1482, 3259, 269, 901, 568, 1945, 547, 1832, 538, 2247, 950, 596, 2811, 6061, 585, 519, 5072, 540, 519, 1950, 1297, 780, 30607, 16193, 454, 1260, 14658, 2338, 25066, 1106, 1950, 5072, 13306, 5072, 29870, 4661 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 713, 7271, 568, 3226, 5078, 585, 4130, 543, 4061, 20833, 1447, 3532, 4759, 2829, 2149, 30849, 2951, 9993, 563, 763, 3864, 8189, 814, 9619, 519, 3390, 540, 25262, 640, 540, 31705, 23614, 687, 1996, 3791, 2477, 7255, 1310, 519, 4367, 540, 519, 19908, 7271, 693, 519, 5207, 2797, 1377, 543, 538, 6935, 547, 6792, 543, 1715, 10215, 2907, 6603, 2407, 25262, 640, 269, 2060, 2543, 547, 4516, 2073, 519, 8189, 568, 6236, 519, 16252, 547, 968, 29264, 3617, 3800, 5608, 1247, 609, 2543, 547, 519, 2475, 621, 15565, 602, 513, 1689, 538, 519, 1876, 972, 1491, 1198, 563, 309, 13453, 2687, 547, 2480, 26907, 523, 1876, 454, 1103, 6240, 267, 972, 616, 1100, 3961, 11974, 693, 519, 4835, 10665, 538, 519, 2480, 26907, 523, 1858, 1547, 18830, 713, 4282, 267, 519, 6042, 585, 1785, 1005, 543, 29307, 1471, 553, 585, 519, 2480, 26907, 523, 1858, 723, 1044, 13387, 543, 1471, 553, 9783, 3622, 4019, 547, 519, 3003, 2480, 26907, 523, 1858, 269, 589, 2342, 17253, 1062, 602, 8850, 17767, 1004, 538, 519, 2480, 26907, 523, 1858, 945, 723, 25295, 741, 8653, 540, 3251, 814, 1044, 6069, 676, 519, 9167, 8189, 2094, 476, 1001, 273, 2073, 855, 814, 865, 2484, 8959, 1813, 547, 519, 4187, 540, 1367, 4759, 2829, 602, 946, 519, 2480, 26907, 523, 6176, 3590, 630, 590, 3041, 3738, 2687, 547, 519, 2480, 26907, 523, 15716, 610, 25956, 519, 2480, 26907, 523, 6388, 6876, 538, 1142, 2013, 609, 741, 1378, 16285, 4586, 763, 6250, 320, 8943, 540, 519, 3864, 5742, 11438, 856, 519, 1739, 31705, 6688, 912, 268, 634, 19633, 18302, 31705, 630, 6943, 589, 264, 2687, 547, 3203, 269, 476, 274, 540, 519, 6250, 320, 8943, 1152, 2636, 596, 547, 3251, 538, 519, 18302, 1858, 540, 519, 19633, 22402, 1510, 10024, 519, 2197, 630, 5976, 514, 519, 2495, 540, 24225, 476, 273, 540, 519, 1763, 2064, 2920, 910, 799, 568, 10416, 3989, 607, 8429, 998, 513, 8473, 1852, 1448, 1040, 634, 10421, 540, 606, 19633, 18302, 31705, 568, 606, 9868, 547, 519, 4341, 602, 1100, 11863, 568, 2838, 547, 3251, 538, 519, 1533, 1510, 2469, 998, 610, 21271, 532, 519, 8473, 14791, 9708, 269, 634, 19633, 18302, 31705, 568, 1152, 5219, 547, 607, 606, 7127, 11863, 543, 711, 513, 15335, 11863, 538, 519, 3656, 2631, 910, 713, 568, 1813, 547, 519, 1249, 602, 519, 23649, 3112, 1118, 15335, 2924, 8200, 593, 621, 543, 824, 2829, 3112, 20549, 513, 2009, 18349, 896, 519, 4139, 6406, 28645, 15716, 593, 519, 12406, 602, 519, 18302, 1533, 814, 519, 13773, 4847, 676, 519, 31705, 563, 268, 634, 2110, 3613, 599, 31705, 630, 6943, 595, 264, 2687, 547, 3203, 269, 476, 275, 547, 476, 3953, 540, 519, 6250, 320, 8943, 2636, 513, 10151, 3251, 538, 519, 10805, 1858, 540, 14496, 1369, 519, 14496, 1974, 269, 634, 31705, 666, 1450, 835, 267, 1079, 610, 811, 13366, 2066, 519, 5007, 10665, 543, 581, 4570, 689, 513, 1906, 2395, 547, 1896, 630, 10946, 269, 12866, 264, 1296, 269, 634, 15868, 2110, 13978, 949, 711, 9765, 513, 8653, 540, 909, 547, 476, 3445, 2395, 1369, 1022, 476, 5197, 6377, 1974, 269, 634, 9819, 5654, 1394, 693, 519, 476, 5197, 6377, 1974, 10678, 593, 602, 1554, 585, 1142, 1554, 540, 3251, 538, 519, 2480, 26907, 523, 1858, 282, 2353, 2395, 6170, 538, 519, 2480, 26907, 523, 1858, 616, 18886, 630, 2958, 14177, 540, 2436, 609, 835, 610, 811, 2110, 3251, 1471, 553, 1070, 2395, 540, 7127, 543, 14827, 616, 18886, 607, 2407, 2395, 269, 5384, 6170, 538, 519, 2480, 26907, 523, 1858, 1247, 513, 3084, 15335, 11863, 610, 513, 3084, 31705, 568, 4570, 616, 711, 18886, 269, 769, 11539, 689, 519, 6042, 540, 930, 1875, 4149, 3832, 978, 523, 2829, 267, 519, 2480, 26907, 523, 1858, 1590, 581, 2451, 593, 519, 2063, 1554, 540, 14496, 540, 519, 31705, 1256, 952, 519, 1297, 540, 15868, 2395, 540, 3251, 814, 711, 2943, 1044, 25356, 563, 268, 634, 1279, 3856, 31705, 630, 6943, 667, 264, 630, 21865, 849, 513, 3084, 31705, 3738, 2636, 596, 547, 3251, 538, 835, 540, 519, 2829, 9138, 972, 514, 630, 17141, 519, 29307, 1533, 282, 2705, 267, 972, 616, 849, 2665, 538, 799, 2829, 2099, 1142, 824, 693, 519, 3390, 1040, 898, 568, 9783, 676, 519, 9757, 2197, 540, 10278, 538, 13076, 609, 922, 3084, 15335, 3652, 269, 6270, 513, 31705, 267, 899, 513, 3084, 15335, 11863, 267, 2636, 2110, 13978, 538, 824, 2480, 26907, 523, 2477, 563, 268, 3690, 527, 1471, 553, 674, 31813, 630, 1721, 4155, 18302, 909, 547, 476, 2190, 3108, 264, 543, 674, 20670, 291, 630, 1721, 7841, 18302, 909, 547, 3670, 3108, 264, 1152, 1303, 1856, 519, 23649, 547, 18302, 1063, 519, 6739, 18966, 543, 922, 608, 743, 1511, 17833, 1456, 2784, 630, 845, 28861, 281, 918, 7238, 333, 12127, 6199, 3738, 998, 519, 2480, 26907, 523, 2829, 540, 26403, 807, 543, 12996, 1547, 1452, 18302, 1471, 553, 616, 5219, 547, 607, 6054, 6697, 547, 1471, 553, 538, 4013, 9167, 1612, 28917, 1547, 1358, 616, 9783, 538, 513, 16866, 6073, 543, 693, 1970, 12375, 269, 1358, 616, 2356, 4570, 585, 513, 3476, 1974, 540, 942, 630, 10499, 291, 281, 12964, 3275, 282, 674, 20670, 291, 281, 1614, 3275, 264, 543, 616, 711, 12758, 883, 513, 1780, 1636, 267, 855, 2864, 9783, 593, 513, 5094, 1106, 630, 845, 585, 3413, 30480, 519, 31705, 264, 4586, 763, 3483, 610, 519, 2601, 585, 519, 3251, 568, 1419, 7150, 593, 519, 31705, 269, 1280, 713, 543, 585, 824, 4170, 543, 9993, 267, 519, 834, 4467, 906, 257, 2361, 610, 606, 3606, 6529, 518, 1590, 581, 1031, 593, 519, 2480, 26907, 523, 31705, 563, 7230, 8724, 3084, 9431, 7060, 454, 1103, 519, 1876, 540, 519, 3864, 5742, 267, 31705, 1876, 585, 2110, 3856, 13978, 568, 7361, 14931, 2649, 1947, 609, 2543, 547, 519, 29307, 4170, 267, 519, 1106, 540, 519, 31705, 10297, 267, 519, 3498, 1184, 267, 931, 983, 2238, 543, 519, 2243, 540, 799, 4961, 991, 513, 31705, 585, 2110, 3856, 13978, 269, 6423, 9890, 1292, 2376, 19938, 630, 31323, 264, 476, 1001, 279, 270, 5197, 277, 630, 31323, 31705, 7939, 264, 1547, 2060, 519, 9868, 540, 519, 17756, 3177, 585, 538, 3864, 1876, 267, 891, 2798, 666, 1100, 3476, 581, 14931, 25422, 267, 855, 666, 1152, 581, 11295, 538, 1469, 593, 519, 4493, 540, 3864, 1876, 269, 1280, 3476, 3856, 13978, 630, 3467, 982, 476, 3445, 2395, 1369, 3670, 3275, 1070, 519, 9431, 5539, 10416, 3788, 609, 519, 4759, 2829, 910, 15861, 569, 1369, 519, 5943, 540, 519, 11745, 1436, 540, 519, 9167, 781, 1318, 540, 15335, 849, 585, 3476, 13978, 998, 3875, 1463, 1161, 269, 1717, 267, 519, 2480, 26907, 523, 2829, 849, 946, 519, 10297, 11311, 676, 519, 3864, 5742, 585, 1471, 553, 9783, 585, 971, 3476, 13978, 630, 322, 14394, 667, 1916, 5278, 9431, 9021, 849, 2611, 609, 519, 16588, 2276, 609, 2543, 547, 10156, 13978, 269, 634, 4759, 2829, 2611, 3743, 585, 519, 6284, 540, 1780, 7964, 543, 1780, 1636, 10682, 4574, 1547, 769, 1840, 267, 519, 16588, 2276, 949, 1821, 5573, 689, 519, 6382, 2480, 26907, 523, 17253, 7833, 6042, 593, 31705, 4170, 543, 31705, 608, 18277, 585, 1978, 2516, 540, 1004, 269, 1280, 1383, 267, 6444, 15076, 610, 2493, 6804, 7606, 666, 581, 23614, 539, 689, 519, 31705, 10421, 952, 4182, 1023, 540, 519, 29307, 2197, 616, 849, 23614, 689, 519, 31705, 10421, 585, 2110, 13978, 269, 634, 7939, 2488, 585, 2417, 7399, 540, 3541, 690, 566, 676, 519, 4759, 2829, 585, 25963, 540, 20320, 1780, 7964, 267, 3028, 1780, 7964, 610, 824, 4013, 1780, 7964, 610, 19742, 8184, 610, 6928, 10986, 269, 5125, 814, 1500, 946, 540, 519, 17756, 15868, 896, 519, 3921, 12099, 998, 519, 14074, 540, 1763, 2064, 18103, 12099, 4586, 18814, 547, 513, 4745, 17083, 1500, 950, 10255, 8678, 519, 3864, 18877, 693, 602, 942, 267, 10255, 666, 2226, 519, 4567, 540, 6778, 19158, 657, 2073, 799, 729, 5892, 4988, 676, 519, 5259, 11156, 1547, 6250, 553, 547, 4283, 519, 1858, 616, 9783, 547, 513, 5021, 540, 4557, 5256, 1875, 268, 18179, 19623, 338, 1169, 1554, 267, 2854, 538, 519, 3044, 5259, 1893, 1547, 1358, 1303, 1856, 596, 547, 7127, 676, 4262, 543, 513, 2185, 6377, 3251, 563, 309, 13453, 543, 15335, 11863, 454, 1103, 1034, 2665, 267, 538, 519, 2013, 540, 513, 3476, 610, 19957, 3251, 538, 519, 3984, 2197, 267, 513, 3084, 15335, 11863, 1590, 581, 4294, 585, 1354, 519, 3084, 31705, 1163, 2231, 630, 324, 3052, 269, 538, 2665, 540, 1920, 22653, 2305, 1040, 901, 15335, 11863, 849, 723, 31705, 6954, 2110, 3856, 13978, 538, 824, 2480, 26907, 523, 2829, 15868, 3177, 513, 4570, 543, 6444, 676, 519, 3077, 3557, 13488, 10426, 568, 1459, 267, 7850, 2951, 7482, 616, 2139, 543, 519, 3077, 1533, 666, 711, 1118, 1808, 3106, 4145, 563, 4913, 267, 972, 616, 849, 2013, 2516, 538, 799, 519, 3003, 3251, 3217, 1747, 609, 519, 31705, 4805, 630, 1721, 1383, 267, 538, 519, 2013, 540, 12119, 4600, 609, 513, 3084, 31705, 602, 568, 4570, 585, 1896, 3275, 1040, 10705, 519, 15335, 14998, 616, 1152, 9783, 1310, 513, 1360, 1279, 4393, 942, 563, 309, 13453, 543, 15335, 6486, 2687, 547, 6034, 633, 476, 1220, 275, 270, 4343, 1315, 10566, 454, 23612, 28029, 787, 1920, 2818, 540, 5742, 4961, 666, 581, 2838, 547, 723, 513, 31705, 547, 4283, 513, 4759, 1533, 952, 789, 723, 513, 22874, 602, 3340, 513, 31705, 2687, 547, 1323, 10811, 594, 540, 519, 9167, 6250, 320, 19938, 269, 634, 2838, 1471, 553, 616, 547, 581, 9783, 1863, 540, 5279, 269, 1717, 267, 519, 1318, 547, 31705, 6954, 7127, 814, 1044, 6905, 676, 6034, 633, 476, 1220, 275, 270, 4343, 1315, 10566, 547, 1920, 2818, 630, 3791, 28029, 787, 4182, 1023, 3738, 540, 661, 12788, 4961, 945, 616, 2965, 2838, 547, 723, 513, 31705, 543, 945, 3635, 741, 1318, 547, 1863, 3350, 1547, 7731, 2818, 666, 2951, 547, 1022, 824, 661, 12788, 4759, 1533, 1510, 606, 3606, 31705, 952, 789, 723, 513, 15335, 3556, 538, 13076, 609, 9137, 476, 1015, 540, 519, 6034, 633, 543, 593, 519, 2783, 602, 519, 7552, 568, 2901, 3838, 609, 519, 661, 12788, 12504, 610, 568, 4553, 676, 1864, 269, 769, 1022, 2013, 267, 1920, 2818, 945, 616, 13886, 547, 1863, 3350, 798, 711, 991, 513, 15335, 11863, 610, 513, 31705, 585, 519, 7766, 3251, 269, 634, 15335, 3556, 1281, 711, 3715, 513, 1318, 540, 15335, 267, 855, 1152, 5713, 607, 6169, 540, 713, 267, 865, 922, 1915, 3112, 581, 3379, 609, 513, 15335, 11863, 610, 31705, 267, 855, 2864, 609, 606, 3961, 3556, 563, 4913, 267, 930, 4759, 2829, 798, 711, 2936, 713, 11865, 540, 519, 1463, 633, 610, 798, 711, 2936, 621, 7157, 630, 553, 540, 5130, 476, 1001, 272, 1070, 865, 602, 7965, 666, 1869, 8451, 950, 10707, 1063, 2480, 26907, 523, 543, 1875, 4149, 3832, 978, 523, 9167, 2829, 630, 10915, 10650, 547, 946, 519, 1797, 540, 3560, 676, 519, 3560, 2754, 267, 4676, 10650, 540, 7127, 676, 8473, 4027, 8128, 1916, 4910, 2064, 6486, 585, 1920, 2818, 540, 661, 12788, 4961, 602, 941, 9783, 676, 513, 2480, 26907, 523, 1533, 616, 6697, 547, 513, 3084, 15335, 11863, 896, 2480, 26907, 523, 1876, 543, 4061, 1303, 1856, 873, 547, 946, 519, 31705, 6954, 2110, 3856, 15335, 11863, 896, 9137, 476, 2641, 540, 519, 13482, 269, 1763, 2064, 6486, 9783, 676, 1875, 4149, 3832, 978, 523, 2477, 1152, 1303, 1856, 519, 23649, 547, 31705, 6954, 7127, 952, 519, 1920, 4759, 2965, 5751, 1010, 610, 1200, 1318, 547, 5191, 540, 3350, 630, 659, 4818, 1415, 532, 610, 11836, 1916, 4913, 267, 519, 631, 6938, 311, 15194, 540, 519, 3864, 7040, 540, 10456, 1590, 581, 4767, 2073, 2687, 547, 799, 519, 1318, 547, 4283, 513, 4759, 1533, 568, 1759, 2047, 593, 519, 6281, 1318, 547, 1863, 3350, 269, 1403, 519, 1920, 4759, 945, 568, 2965, 2838, 547, 723, 513, 31705, 543, 945, 9311, 625, 610, 26082, 519, 5742, 12504, 666, 6961, 1010, 610, 1200, 1318, 540, 1863, 3350, 267, 646, 949, 711, 581, 15189, 7127, 585, 17033, 6101, 4128, 267, 971, 607, 513, 7508, 1780, 1636, 543, 1315, 610, 31705, 269, 1403, 2556, 267, 519, 2838, 31705, 1590, 581, 9783, 693, 519, 8473, 563, 1805, 4450, 540, 519, 31705, 6003, 454, 763, 2480, 26907, 523, 31705, 568, 3818, 23469, 267, 609, 519, 8789, 4778, 1373, 3039, 543, 13711, 269, 898, 3568, 3573, 3354, 2934, 2073, 971, 607, 2027, 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 ]
[ 1280, 513, 3902, 267, 789, 15868, 12820, 547, 21707, 543, 18348, 9769, 3401, 547, 2611, 538, 5604, 563, 300, 2378, 3930, 328, 267, 6004, 269, 16737, 2798, 856, 267, 941, 711, 771, 6312, 3481, 547, 938, 24528, 676, 741, 22242, 538, 24558, 1176, 610, 538, 7013, 7977, 607, 851, 540, 606, 3486, 24242, 269, 6145, 9721, 543, 6014, 19366, 20737, 267, 945, 4646, 14228, 338, 538, 2462, 4872, 267, 519, 631, 2378, 807, 3885, 941, 7768, 540, 3765, 22327, 543, 2759, 628, 549, 1846, 945, 9053, 6760, 547, 519, 2182, 547, 559, 2139, 547, 1034, 11082, 563, 16031, 269, 16737, 3081, 602, 7969, 14228, 9094, 267, 17975, 12485, 1031, 676, 519, 631, 2378, 807, 538, 24558, 1176, 267, 16760, 741, 9721, 543, 6014, 15712, 7361, 998, 519, 3498, 540, 519, 15234, 29188, 5257, 6829, 538, 1010, 2140, 269, 10552, 610, 737, 29023, 13218, 267, 646, 31234, 267, 13087, 3401, 540, 7969, 14228, 338, 610, 3885, 547, 1106, 811, 1202, 4327, 267, 14686, 267, 5676, 1441, 543, 2500, 3906, 982, 741, 30347, 563, 26877, 7228, 5763, 4547, 15865, 1379, 998, 13218, 609, 2797, 6191, 538, 1715, 3840, 267, 9628, 543, 1034, 1804, 8109, 543, 11068, 13523, 4872, 269, 2060, 2797, 3310, 543, 6666, 267, 4254, 9094, 1223, 18348, 14761, 267, 16488, 267, 21991, 12781, 267, 519, 7128, 543, 519, 2046, 563, 2690, 476, 2412, 1296, 267, 519, 631, 2378, 807, 781, 561, 17415, 729, 7361, 17946, 718, 1263, 539, 676, 519, 8549, 6554, 267, 543, 1454, 540, 519, 16620, 26520, 609, 519, 674, 11065, 15660, 9538, 338, 808, 269, 28089, 14208, 1478, 269, 1280, 4128, 1634, 1152, 547, 14208, 1478, 267, 646, 18923, 17019, 519, 631, 2378, 807, 781, 6228, 267, 1577, 4805, 922, 3463, 563, 16031, 269, 16737, 781, 2079, 540, 519, 1977, 631, 2378, 807, 781, 8129, 543, 519, 4128, 3297, 922, 1279, 1792, 752, 540, 1967, 267, 1247, 711, 3312, 267, 568, 1134, 16135, 543, 5743, 2952, 2854, 269, 1809, 1932, 1419, 646, 32168, 525, 883, 25127, 267, 605, 6137, 909, 13719, 6436, 609, 15555, 528, 543, 575, 1601, 760, 269, 1261, 1025, 1868, 519, 631, 2378, 807, 585, 3592, 1169, 2101, 6760, 540, 519, 2540, 267, 1519, 519, 9976, 476, 4350, 271, 14897, 766, 540, 25960, 9197, 831, 540, 519, 1715, 3840, 3557, 10966, 7040, 563, 1607, 608, 12000, 3130, 540, 519, 631, 2378, 807, 781, 25112, 1464, 568, 1025, 520, 656, 538, 519, 2278, 781, 24575, 540, 519, 26923, 540, 5518, 3627, 674, 269, 17394, 607, 513, 4254, 6299, 13050, 267, 1776, 796, 13092, 20790, 5892, 23699, 676, 5830, 13461, 593, 19796, 1190, 10054, 269, 769, 6004, 269, 16737, 781, 9183, 267, 519, 17394, 10029, 781, 5859, 1996, 3056, 4254, 9094, 729, 9763, 607, 513, 5595, 2275, 1484, 676, 631, 2378, 807, 20148, 525, 945, 267, 609, 519, 26460, 540, 17394, 781, 4651, 267, 9478, 267, 1185, 1071, 3200, 569, 5280, 3627, 17394, 3094, 519, 476, 3422, 271, 30814, 9550, 269, 2755, 936, 560, 908, 519, 2013, 585, 513, 631, 2378, 807, 268, 23912, 11318, 540, 17394, 267, 6004, 269, 16737, 5337, 2803, 8101, 2963, 1201, 5024, 1010, 7664, 563, 763, 2278, 1318, 569, 17099, 717, 269, 7917, 29965, 344, 267, 513, 1876, 7548, 543, 631, 2378, 807, 4274, 267, 585, 22299, 532, 519, 946, 540, 519, 681, 871, 564, 17621, 14118, 10642, 543, 4856, 4533, 20871, 2920, 538, 519, 3735, 476, 3583, 781, 543, 476, 3199, 781, 269, 15019, 569, 1634, 607, 681, 2975, 302, 267, 519, 1876, 729, 4378, 539, 676, 21991, 12781, 883, 513, 24037, 3656, 14049, 1996, 31737, 6896, 6760, 2516, 563, 16031, 269, 16737, 781, 1686, 7475, 23589, 569, 538, 519, 4571, 268, 3199, 781, 267, 693, 519, 1360, 942, 950, 681, 2975, 302, 21991, 1903, 543, 4835, 1920, 30331, 822, 1023, 5916, 547, 6861, 610, 524, 23774, 548, 5892, 1045, 4532, 1043, 3906, 269, 1261, 849, 5337, 2803, 519, 1034, 1713, 7835, 540, 519, 2063, 2947, 1296, 281, 519, 607, 1417, 540, 1715, 3840, 781, 3627, 717, 2714, 328, 607, 519, 4182, 781, 20823, 4254, 5707, 534, 543, 519, 11944, 540, 3532, 30347, 547, 519, 631, 2378, 807, 267, 2523, 3486, 4457, 14228, 338, 269, 1306, 1686, 267, 15234, 26108, 543, 5295, 5257, 568, 1008, 25607, 855, 18106, 269, 0, 19489, 11091, 1235, 267, 519, 25213, 729, 593, 513, 1612, 609, 4439, 671, 334, 4506, 12942, 1156, 613, 281, 513, 1544, 547, 23542, 880, 851, 540, 519, 570, 1370, 517, 24872, 5600, 630, 9008, 1070, 519, 1101, 2679, 676, 8402, 594, 269, 918, 23167, 630, 5002, 272, 268, 3192, 275, 264, 538, 1010, 1378, 2259, 269, 4706, 16961, 6134, 11460, 2882, 2185, 1930, 25101, 524, 5407, 3625, 533, 822, 559, 687, 630, 321, 18847, 1070, 3710, 689, 476, 4198, 276, 547, 476, 4198, 278, 538, 661, 9405, 267, 715, 12282, 269, 7917, 20764, 19441, 7125, 519, 8602, 5264, 834, 320, 695, 9068, 257, 543, 621, 814, 1044, 11855, 676, 519, 2817, 19193, 540, 19866, 23089, 585, 922, 834, 10520, 25728, 550, 2956, 1701, 7917, 717, 269, 6154, 344, 267, 8689, 540, 519, 6014, 7991, 15544, 540, 519, 26609, 9503, 267, 799, 13333, 519, 8602, 5264, 593, 922, 1554, 2275, 2086, 12406, 267, 3081, 602, 7293, 2566, 547, 1079, 533, 822, 559, 687, 1223, 1439, 9734, 3786, 619, 945, 786, 5531, 972, 538, 4873, 269, 834, 2005, 1223, 1491, 1269, 2004, 267, 1822, 547, 1269, 1911, 267, 1822, 547, 11177, 519, 533, 822, 559, 687, 267, 543, 649, 2811, 513, 18758, 3919, 269, 1284, 1577, 873, 917, 602, 23542, 819, 729, 513, 4287, 649, 1522, 991, 547, 979, 2437, 646, 1767, 269, 29594, 532, 547, 17600, 267, 519, 4099, 781, 5234, 4566, 547, 2743, 2221, 609, 513, 7293, 11653, 269, 834, 29613, 958, 267, 649, 9364, 899, 519, 533, 822, 559, 687, 547, 581, 12873, 2437, 6004, 269, 6154, 344, 1767, 267, 834, 663, 585, 3544, 7616, 547, 3382, 519, 3003, 3790, 1701, 0, 276, 18838, 5999, 454, 276, 631, 10248, 5999, 454, 268, 513, 630, 29951, 264, 623, 1643, 532, 547, 610, 23401, 606, 513, 701, 610, 24564, 563, 3799, 264, 1323, 513, 701, 610, 24564, 563, 268, 536, 630, 29951, 264, 623, 1643, 532, 547, 513, 7504, 282, 10362, 547, 519, 1920, 540, 9640, 543, 18410, 30944, 563, 268, 524, 630, 29951, 264, 623, 1643, 532, 547, 610, 8984, 540, 513, 7703, 563, 268, 546, 630, 333, 264, 634, 2257, 7231, 609, 2831, 563, 268, 552, 630, 333, 264, 589, 2777, 610, 1804, 21799, 585, 5017, 563, 276, 13038, 14893, 5999, 454, 268, 630, 333, 264, 16588, 540, 519, 1920, 540, 5243, 563, 263, 29951, 264, 623, 1643, 532, 547, 519, 1920, 540, 5243, 267, 543, 2523, 519, 7907, 2404, 609, 873, 563, 268, 630, 333, 264, 476, 272, 269, 589, 22488, 5577, 267, 20014, 267, 610, 18178, 563, 273, 269, 589, 929, 1678, 610, 3552, 15413, 1228, 563, 17635, 264, 1677, 20014, 267, 8389, 997, 267, 610, 535, 14490, 827, 563, 276, 6936, 270, 16178, 5999, 454, 325, 5202, 9890, 630, 333, 264, 589, 4759, 540, 519, 1920, 540, 7314, 267, 21495, 267, 27683, 267, 543, 795, 16331, 1513, 563, 335, 4593, 529, 9890, 3165, 454, 3225, 2787, 9890, 630, 29951, 264, 623, 1643, 532, 547, 513, 31115, 540, 9640, 267, 610, 5578, 538, 14964, 563, 3799, 264, 2290, 945, 26055, 610, 15824, 593, 7504, 3724, 563, 777, 10706, 9890, 630, 333, 264, 589, 1747, 1141, 32105, 610, 10125, 540, 10987, 616, 6854, 585, 741, 9932, 563, 1602, 322, 639, 9890, 2220, 710, 267, 6477, 267, 554, 690, 0, 14457, 7689, 4643, 7170, 16258, 5253, 11752, 4635, 4446, 28977, 3992, 5758, 840, 817, 20156, 2898, 31228, 6044, 476, 272, 1118, 513, 5750, 540, 519, 1898, 3334, 540, 513, 3046, 3113, 18176, 7355, 4116, 8343, 543, 7300, 7689, 4643, 7170, 16258, 5253, 11752, 4635, 4446, 28977, 454, 14457, 2701, 330, 807, 2725, 517, 661, 9405, 8525, 910, 18647, 3557, 2160, 4116, 1352, 330, 807, 803, 517, 552, 9405, 2985, 476, 273, 476, 272, 1641, 1888, 1770, 2979, 1532, 541, 3113, 3635, 2123, 1072, 4266, 32414, 476, 1321, 476, 1001, 271, 3446, 476, 276, 628, 3992, 1544, 13797, 7300, 2701, 330, 807, 2725, 517, 661, 9405, 8525, 910, 18647, 3557, 2160, 454, 14457, 631, 295, 910, 2419, 8981, 8641, 532, 910, 634, 670, 619, 30750, 9452, 2012, 10217, 24275, 10912, 782, 669, 4377, 520, 4536, 646, 637, 707, 4960, 547, 6430, 799, 10217, 568, 519, 1655, 568, 621, 5144, 10217, 3043, 10217, 7300, 631, 295, 910, 2419, 8981, 8641, 532, 910, 634, 670, 619, 30750, 9452, 454, 14457, 7689, 5522, 753, 18823, 910, 4400, 3427, 10334, 15099, 3992, 680, 753, 4532, 10687, 1888, 3621, 1505, 2534, 5758, 1053, 946, 513, 3014, 540, 14853, 2112, 547, 1451, 519, 3621, 1505, 543, 547, 1376, 7114, 2959, 540, 7300, 7689, 5522, 753, 18823, 910, 4400, 3427, 10334, 15099, 454, 14457, 700, 661, 590, 590, 744, 715, 476, 272, 476, 272, 4446, 28977, 543, 29961, 1773, 1824, 910, 8249, 585, 476, 15433, 476, 1220, 273, 1883, 6437, 2046, 12423, 7223, 27772, 4245, 476, 1556, 3046, 11708, 543, 12297, 13602, 561, 552, 521, 521, 522, 562, 476, 272, 476, 272, 27772, 538, 713, 3992, 596, 786, 4612, 543, 7300, 700, 661, 590, 590, 744, 715, 476, 272, 476, 272, 4446, 28977, 543, 29961, 1773, 1824, 910, 8249, 585, 454, 14457, 717, 3633, 547, 10426, 519, 717, 539, 4530, 16721, 18361, 7689, 12813, 753, 3992, 4566, 547, 5965, 1053, 575, 539, 547, 1780, 519, 575, 539, 476, 14690, 4255, 476, 14690, 1449, 3341, 25156, 1007, 1348, 619, 12304, 10687, 575, 539, 1449, 2181, 335, 1514, 521, 512, 644, 625, 521, 338, 268, 274, 476, 275, 960, 998, 519, 2119, 7300, 717, 3633, 547, 10426, 519, 717, 539, 4530, 16721, 18361, 7689, 12813, 753, 454, 14457, 476, 275, 628, 6103, 7689, 12697, 910, 20348, 17904, 16958, 3446, 476, 275, 2220, 320, 4928, 6881, 2022, 3992, 1544, 6859, 476, 272, 1053, 786, 2689, 519, 3688, 602, 616, 7608, 538, 13869, 11824, 1293, 903, 9657, 7300, 476, 275, 628, 6103, 7689, 12697, 910, 20348, 17904, 16958, 454, 14457, 24918, 676, 519, 10606, 910, 2817, 667, 28233, 7467, 32685, 4512, 676, 519, 2338, 5750, 532, 543, 24275, 546, 6377, 543, 32685, 4512, 1239, 513, 3992, 689, 519, 2069, 8257, 519, 3084, 32685, 4512, 9754, 476, 280, 3393, 12139, 8265, 7300, 24918, 676, 519, 10606, 910, 2817, 667, 28233, 7467, 454, 14457, 28226, 918, 13804, 1115, 305, 1442, 910, 11759, 11310, 7690, 476, 1220, 276, 4295, 1702, 476, 14690, 3084, 10554, 22197, 4224, 9656, 476, 272, 476, 275, 5750, 1957, 476, 276, 835, 540, 1142, 1826, 540, 11275, 585, 519, 4116, 3046, 8258, 11425, 543, 9640, 21539, 7300, 28226, 918, 13804, 1115, 305, 1442, 910, 11759, 11310, 7690, 454, 14457, 7689, 5522, 753, 18823, 910, 4400, 3427, 10334, 15099, 3992, 680, 753, 4532, 10687, 1888, 5955, 7271, 2978, 5758, 1053, 786, 2203, 875, 519, 25012, 1062, 3096, 5955, 6127, 547, 2226, 27921, 7300, 7689, 5522, 753, 18823, 910, 4400, 3427, 10334, 15099, 454, 301, 1731, 517, 667, 278, 1015, 271, 15015, 5623, 454, 301, 1731, 517, 781, 667, 278, 1015, 271, 814, 1044, 3957, 607, 519, 1007, 17514, 1222, 667, 20784, 305, 540, 519, 589, 4916, 4211, 1899, 1575, 269, 634, 8254, 267, 538, 513, 1259, 267, 1287, 568, 519, 24288, 547, 1312, 519, 667, 4968, 338, 543, 519, 667, 10384, 271, 269, 11569, 267, 21208, 517, 781, 667, 10384, 271, 729, 9157, 547, 1832, 538, 6006, 1317, 3025, 4941, 621, 269, 2060, 519, 1164, 18869, 5759, 267, 7436, 2006, 1826, 1313, 1993, 1371, 267, 543, 5140, 1628, 2298, 6800, 1166, 18088, 547, 621, 585, 519, 1390, 8254, 602, 621, 729, 585, 519, 3902, 563, 763, 667, 278, 1015, 271, 568, 538, 1082, 2081, 21208, 517, 781, 1259, 540, 6029, 602, 589, 4916, 4211, 667, 20784, 20745, 1869, 723, 513, 1747, 538, 519, 1158, 5103, 875, 1454, 519, 594, 9448, 2344, 814, 6738, 269, 634, 8254, 19646, 476, 2190, 269, 272, 6573, 454, 3008, 4785, 24789, 9349, 772, 311, 7906, 309, 15015, 5623, 454, 1607, 476, 1428, 269, 277, 257, 6094, 7146, 2000, 697, 21641, 2934, 606, 594, 4916, 4159, 267, 11759, 1775, 278, 22712, 2275, 648, 16267, 267, 6131, 12449, 543, 2306, 585, 513, 1390, 19180, 1995, 269, 6496, 3668, 540, 513, 5905, 5496, 6146, 519, 4308, 286, 1284, 6430, 538, 938, 2689, 563, 763, 772, 311, 7906, 309, 313, 568, 513, 476, 1428, 269, 277, 257, 21641 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1535, 263, 273, 1535, 266, 274, 9984, 273, 263, 273, 1535, 266, 274, 7751, 454, 259, 14352, 274, 1535, 268, 273, 7565, 273, 1535, 266, 274, 7751, 454, 263, 643, 264, 1269, 274, 1535, 3867, 273, 18511, 343, 268, 275, 284, 274, 1535, 3867, 273, 18511, 275, 1535, 266, 274, 1535, 268, 275, 14204, 259, 284, 343, 263, 274, 1535, 268, 275, 11924, 272, 263, 274, 1535, 268, 275, 7751, 454, 259, 14352, 343, 266, 272, 7565, 274, 1535, 268, 275, 22491, 304, 276, 269, 16748, 1047, 10778, 9217, 264, 1269, 343, 3867, 274, 18511, 273, 1535, 3867, 273, 18511, 343, 266, 273, 14204, 23870, 264, 1269, 343, 3867, 274, 18511, 274, 1535, 3867, 273, 18511, 280, 1535, 268, 276, 14204, 31702, 264, 1269, 343, 3867, 274, 15396, 1724, 1535, 3867, 273, 15396, 3953, 1535, 266, 736, 14204, 263, 643, 264, 1269, 273, 1422, 9507, 26635, 8703, 274, 23180, 9507, 26635, 8703, 273, 18511, 273, 1422, 9507, 26635, 18511, 272, 6911, 22069, 269, 630, 328, 264, 1269, 343, 3867, 274, 18511, 273, 1535, 3867, 273, 18511, 343, 266, 273, 14204, 4131, 1269, 335, 3287, 6661, 343, 3867, 274, 18511, 273, 1535, 3867, 273, 18511, 343, 266, 273, 14204, 3528, 4693, 267, 649, 1265, 602, 454, 7445, 9507, 22669, 12917, 272, 6661, 263, 272, 22722, 274, 18511, 273, 263, 272, 22722, 273, 18511, 263, 272, 11924, 273, 14204, 259, 284, 272, 268, 273, 268, 272, 266, 273, 284, 271, 14204, 7445, 11004, 1150, 259, 1635, 3815, 14497, 267, 1269, 7268, 9507, 12757, 18511, 272, 7751, 568, 513, 3815, 540, 4399, 9507, 22669, 32710, 9507, 12757, 348, 7751, 563, 3086, 267, 1269, 343, 3867, 274, 18511, 273, 1535, 3867, 273, 18511, 343, 266, 273, 14204, 259, 284, 343, 3867, 273, 12917, 343, 268, 272, 9984, 343, 3287, 268, 272, 9984, 273, 3287, 268, 272, 7751, 454, 259, 14352, 343, 268, 272, 9385, 3847, 3287, 3867, 273, 18511, 343, 268, 273, 9368, 7751, 454, 259, 14352, 343, 268, 272, 9385, 3847, 3287, 3867, 273, 18511, 273, 1535, 21147, 268, 273, 9368, 7751, 454, 259, 14352, 343, 268, 272, 9385, 346, 343, 3287, 268, 273, 11924, 272, 3287, 268, 273, 9385, 21456, 259, 14352, 343, 268, 272, 7565, 343, 268, 273, 7565, 343, 266, 272, 7751, 454, 23870, 264, 1269, 343, 3867, 274, 18511, 274, 1535, 3867, 273, 18511, 280, 1535, 268, 276, 6911, 4131, 1269, 335, 3287, 6661, 343, 3867, 274, 18511, 274, 1535, 3867, 273, 18511, 280, 1535, 268, 276, 14204, 289, 341, 4693, 269, 649, 1265, 454, 7445, 9507, 22669, 348, 8987, 272, 6661, 8987, 272, 22722, 274, 18511, 274, 8987, 272, 22722, 273, 18511, 280, 8987, 272, 9984, 276, 14204, 259, 15871, 272, 268, 274, 266, 280, 268, 276, 284, 271, 14204, 7445, 11004, 1150, 259, 1635, 16748, 14497, 267, 1269, 343, 268, 8987, 272, 7751, 610, 1269, 343, 266, 272, 259, 568, 3815, 540, 1269, 335, 3287, 7751, 454, 3086, 267, 1269, 343, 3867, 274, 18511, 274, 1535, 3867, 273, 18511, 280, 1535, 268, 276, 6911, 259, 284, 343, 3867, 273, 12917, 343, 266, 272, 9984, 275, 1535, 3287, 266, 272, 9984, 276, 3287, 266, 272, 7751, 454, 259, 14352, 343, 266, 272, 9385, 3847, 3287, 3867, 273, 18511, 275, 1535, 268, 276, 9368, 7751, 454, 259, 14352, 343, 266, 272, 9385, 3847, 3287, 3867, 273, 18511, 276, 1535, 21147, 268, 276, 9368, 7751, 454, 259, 14352, 343, 266, 272, 9385, 346, 343, 3287, 268, 276, 11924, 272, 3287, 268, 276, 9385, 21456, 259, 14352, 343, 266, 272, 22722, 273, 12917, 343, 268, 276, 7751, 454, 31702, 264, 1269, 343, 3867, 274, 15396, 1724, 1535, 3867, 273, 15396, 3953, 1535, 266, 736, 14204, 4131, 1269, 335, 3287, 6661, 343, 3867, 274, 15396, 1724, 1535, 3867, 273, 15396, 3953, 1535, 266, 736, 14204, 3528, 4693, 267, 649, 1265, 454, 259, 335, 8987, 272, 6661, 8987, 272, 22722, 274, 15396, 1724, 8987, 272, 22722, 273, 15396, 3953, 8987, 272, 11924, 736, 14204, 259, 15871, 272, 266, 1724, 268, 3953, 266, 736, 284, 271, 14204, 7445, 11004, 1150, 259, 1635, 16748, 11532, 267, 1269, 343, 268, 8987, 272, 1070, 1535, 266, 272, 259, 568, 513, 3815, 540, 1269, 335, 3287, 7751, 454, 259, 343, 3867, 274, 15396, 1724, 1535, 3867, 273, 15396, 3953, 1535, 266, 736, 14204, 259, 284, 343, 3867, 273, 12917, 343, 266, 272, 11924, 1321, 3287, 7565, 343, 266, 272, 11924, 736, 3287, 266, 272, 7751, 454, 259, 14352, 343, 266, 272, 9385, 3847, 3287, 3867, 273, 15396, 1321, 1535, 266, 736, 9368, 7751, 454, 259, 14352, 343, 266, 272, 9385, 3847, 3287, 3867, 273, 15396, 273, 1535, 266, 1015, 1535, 266, 736, 9368, 7751, 454, 259, 14352, 343, 266, 272, 9385, 346, 343, 3287, 266, 273, 11924, 1015, 3287, 266, 273, 9385, 21456, 259, 14352, 343, 266, 272, 7565, 343, 266, 273, 7565, 343, 266, 1015, 7751, 454, 263, 643, 264, 1269, 273, 1422, 9507, 26635, 8703, 274, 23180, 9507, 26635, 8703, 273, 18511, 273, 1422, 9507, 26635, 18511, 272, 14204, 259, 335, 12169, 6661, 273, 586, 3867, 274, 15396, 344, 3867, 273, 18511, 273, 586, 268, 272, 259, 20371, 3528, 4693, 267, 649, 1265, 602, 454, 259, 335, 263, 272, 6661, 273, 263, 272, 22722, 274, 15396, 263, 272, 22722, 273, 18511, 273, 263, 272, 9984, 272, 284, 271, 14204, 7445, 11004, 1150, 259, 1635, 16748, 11532, 267, 1269, 7268, 9507, 26635, 18511, 272, 7751, 568, 513, 3815, 540, 4399, 9507, 22669, 32710, 9507, 26635, 348, 7751, 454, 259, 273, 586, 3867, 274, 15396, 344, 3867, 273, 18511, 273, 586, 268, 272, 14204, 259, 284, 273, 586, 3867, 273, 12917, 344, 268, 272, 11924, 274, 586, 12169, 268, 272, 11924, 272, 12169, 268, 272, 7751, 454, 259, 14352, 344, 268, 272, 9385, 3847, 263, 273, 586, 3867, 273, 15396, 274, 586, 266, 272, 9368, 7751, 454, 259, 14352, 344, 268, 272, 9385, 3847, 263, 273, 586, 3867, 273, 15396, 273, 586, 20742, 266, 272, 9368, 7751, 454, 259, 284, 7268, 9507, 26635, 18511, 272, 9385, 346, 273, 1422, 9507, 26635, 32710, 9507, 26635, 15396, 272, 11924, 272, 7268, 9507, 26635, 15396, 272, 9385, 21456, 259, 284, 7268, 9507, 26635, 18511, 272, 7565, 273, 1422, 9507, 26635, 15396, 272, 264, 7268, 9507, 26635, 15396, 272, 22491, 2162, 19436, 10298, 585, 4147, 476, 280, 13174, 3184, 476, 273, 1401, 1107, 476, 273, 269, 276, 692, 304, 272, 269, 2422, 5078, 9163, 547, 1265, 519, 1739, 2472, 912, 9217, 264, 18159, 343, 266, 275, 7565, 343, 266, 1015, 7751, 454, 23870, 264, 18159, 343, 266, 279, 7565, 343, 268, 1015, 7751, 454, 31702, 264, 18159, 274, 1535, 266, 275, 7565, 274, 1535, 268, 276, 7751, 454, 263, 643, 264, 4399, 3847, 12169, 3867, 273, 23180, 2765, 346, 274, 2410, 273, 4153, 2431, 9385, 3847, 12169, 3867, 273, 32757, 2765, 346, 274, 2410, 273, 4153, 2431, 7751, 454, 17635, 264, 18159, 274, 268, 273, 1535, 7565, 274, 266, 273, 1535, 22491, 22069, 269, 630, 328, 264, 1269, 7268, 9507, 12757, 15396, 275, 264, 7268, 9507, 12757, 15396, 1015, 7751, 454, 259, 284, 343, 3867, 273, 15396, 263, 275, 266, 1015, 264, 1535, 23444, 275, 7565, 1015, 6661, 343, 3867, 273, 15396, 1691, 1535, 266, 2412, 14204, 23870, 264, 18159, 343, 266, 279, 7565, 343, 268, 1015, 7751, 454, 259, 284, 7268, 9507, 12757, 15396, 279, 9385, 3189, 9507, 12757, 15396, 8987, 1015, 9385, 21456, 259, 284, 343, 3867, 273, 23180, 346, 279, 266, 8987, 1015, 9385, 348, 1535, 266, 279, 8987, 1015, 7751, 454, 259, 284, 343, 3867, 273, 18511, 273, 1535, 268, 3199, 14204, 31702, 264, 18159, 274, 1535, 266, 275, 7565, 274, 1535, 268, 276, 7751, 454, 259, 14352, 274, 1535, 266, 275, 7565, 274, 1535, 268, 276, 6661, 263, 274, 1535, 266, 275, 7565, 274, 1535, 266, 8987, 276, 4297, 14204, 259, 14352, 274, 1535, 22722, 273, 23180, 346, 275, 266, 8987, 276, 9385, 12917, 274, 1535, 11924, 275, 8987, 276, 7751, 454, 259, 284, 280, 1535, 3867, 273, 18511, 274, 1535, 268, 736, 14204, 263, 643, 264, 4399, 3847, 12169, 3867, 273, 23180, 2765, 346, 274, 2410, 273, 4153, 2431, 9385, 3847, 12169, 3867, 273, 32757, 2765, 346, 274, 2410, 273, 4153, 2431, 7751, 454, 4131, 267, 1269, 344, 3867, 273, 13157, 343, 14204, 7445, 23976, 13375, 12169, 3867, 273, 23180, 2765, 346, 274, 2410, 273, 4153, 2431, 9385, 3847, 12169, 3867, 273, 32757, 2765, 346, 274, 2410, 273, 4153, 2431, 21174, 3847, 3287, 10954, 2765, 346, 274, 2410, 273, 4153, 2431, 9385, 3847, 3287, 10559, 2765, 346, 274, 2410, 273, 4153, 2431, 7751, 454, 259, 284, 343, 3867, 273, 32757, 2765, 346, 280, 2410, 275, 21456, 263, 6748, 7329, 523, 640, 264, 18159, 320, 17070, 7565, 320, 1532, 6661, 320, 3867, 273, 18511, 321, 3867, 273, 21456, 7445, 23976, 13375, 7268, 9507, 26635, 8703, 273, 4153, 2431, 22722, 273, 32757, 2765, 346, 280, 2410, 275, 21456, 7445, 23976, 1422, 9507, 26635, 8703, 275, 32757, 2765, 346, 280, 2410, 275, 21456, 17635, 264, 18159, 274, 268, 273, 1422, 9507, 12757, 348, 7565, 274, 266, 273, 1422, 9507, 12757, 348, 7751, 454, 259, 263, 274, 22722, 273, 18511, 263, 273, 1535, 22722, 273, 13157, 280, 268, 275, 1535, 3867, 273, 21456, 263, 6748, 7329, 523, 640, 264, 18159, 320, 17070, 7565, 320, 1532, 6661, 320, 3867, 273, 18511, 321, 3867, 273, 10592, 304, 273, 269, 21414, 519, 1739, 1587, 1510, 14921, 2047, 912, 9217, 264, 1269, 9818, 1422, 9392, 476, 13040, 14204, 23870, 264, 1269, 4817, 1422, 9392, 476, 9834, 14204, 31702, 264, 1269, 10441, 1422, 9392, 476, 9834, 6911, 22069, 269, 630, 328, 264, 1269, 9818, 1422, 9392, 476, 13040, 14352, 1911, 266, 274, 264, 1422, 9392, 263, 1911, 266, 278, 7751, 454, 259, 14352, 1911, 22722, 273, 15396, 263, 274, 266, 278, 7565, 1911, 11924, 263, 274, 7565, 278, 7751, 454, 259, 284, 1911, 876, 266, 1911, 271, 266, 2641, 284, 8099, 2641, 14204, 21446, 622, 3070, 10778, 259, 9818, 1422, 9392, 476, 13040, 14352, 10755, 268, 273, 264, 1422, 9392, 263, 10755, 266, 273, 7751, 454, 259, 14352, 10755, 22722, 273, 18511, 263, 273, 22722, 273, 13157, 263, 1911, 266, 276, 22722, 273, 18511, 275, 14204, 259, 14352, 1911, 22722, 273, 15396, 273, 263, 1911, 7565, 276, 11924, 263, 276, 22722, 273, 18511, 275, 14204, 259, 284, 1911, 876, 266, 1911, 271, 266, 1839, 268, 275, 14204, 259, 284, 8099, 2641, 1547, 14204, 23870, 264, 1269, 4817, 1422, 9392, 476, 9834, 14204, 259, 14352, 3445, 266, 276, 264, 1422, 9392, 263, 3445, 266, 277, 7751, 454, 259, 14352, 3445, 22722, 273, 15396, 263, 276, 266, 277, 264, 476, 3445, 23444, 276, 7565, 277, 7751, 454, 259, 284, 279, 1015, 271, 266, 31275, 266, 1789, 284, 280, 1321, 271, 14204, 31702, 264, 1269, 10441, 1422, 9392, 476, 9834, 14204, 259, 14352, 1911, 266, 275, 264, 1422, 9392, 263, 1911, 268, 275, 7751, 454, 263, 6748, 7329, 523, 640, 264, 18159, 320, 17070, 7565, 320, 1532, 6661, 320, 3867, 273, 18511, 321, 3867, 273, 21456, 259, 14352, 1911, 22722, 273, 18511, 263, 275, 22722, 273, 13157, 1911, 876, 268, 1626, 14204, 259, 284, 4200, 279, 275, 6911, 304, 274, 269, 16748, 1047, 519, 1739, 1210, 3617, 9163, 912, 9217, 264, 1269, 280, 1535, 3867, 273, 15396, 277, 1535, 586, 20742, 3867, 273, 21456, 23870, 264, 1269, 275, 586, 3867, 273, 18511, 275, 586, 266, 272, 14204, 31702, 264, 4399, 9507, 12757, 8703, 273, 32757, 2765, 3189, 9507, 26635, 8703, 273, 12453, 1911, 10592, 22069, 269, 630, 328, 264, 1269, 280, 1535, 3867, 273, 15396, 277, 1535, 586, 20742, 3867, 273, 13157, 263, 274, 1535, 22722, 273, 15396, 273, 263, 274, 1535, 7565, 344, 11924, 263, 344, 22722, 273, 21456, 259, 14352, 274, 1422, 9507, 12757, 23180, 9507, 26635, 16585, 3867, 273, 21456, 259, 14352, 274, 1535, 20742, 7565, 274, 1535, 20742, 7751, 454, 23870, 264, 1269, 275, 1422, 9507, 26635, 8703, 273, 18511, 275, 1422, 9507, 26635, 15396, 272, 14204, 259, 14352, 273, 586, 22722, 273, 18511, 273, 263, 273, 586, 7565, 272, 11924, 263, 272, 22722, 273, 21456, 259, 14352, 273, 586, 268, 272, 22722, 273, 13157, 263, 273, 586, 268, 272, 7565, 273, 586, 268, 272, 7751, 454, 31702, 264, 4399, 9507, 12757, 8703, 273, 32757, 2765, 3189, 9507, 26635, 8703, 273, 12453, 1911, 21456, 263, 6748, 7329, 523, 640, 264, 1269, 320, 3867, 273, 18511, 321, 3867, 273, 13157, 263, 320, 17070, 7565, 320, 1532, 7751, 454, 259, 343, 3867, 273, 32757 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 274, 454, 3849, 2466, 9315, 24793, 2433, 5822, 10432, 540, 4873, 476, 1708, 274, 454, 5425, 7644, 9539, 4953, 11929, 11261, 2433, 476, 1724, 1107, 476, 2420, 4873, 476, 1708, 274, 454, 3519, 2265, 10837, 2433, 715, 14011, 630, 13233, 13281, 10837, 12467, 308, 24774, 715, 4953, 11929, 23694, 2433, 6732, 25042, 630, 30274, 994, 308, 24774, 715, 4953, 11929, 28088, 2433, 3502, 1881, 17652, 454, 763, 4406, 7190, 540, 772, 24774, 715, 4953, 11929, 24143, 9315, 2433, 476, 273, 13012, 630, 13229, 689, 519, 11261, 631, 1549, 539, 538, 715, 4953, 25890, 12467, 308, 24774, 715, 4953, 11929, 4432, 580, 2225, 7600, 4997, 2433, 24121, 763, 7873, 7149, 945, 20618, 538, 772, 24774, 715, 4953, 11929, 4927, 723, 547, 2407, 15640, 519, 1739, 4432, 580, 2225, 18859, 618, 585, 13335, 1106, 563, 268, 10426, 539, 1315, 2561, 18193, 9457, 23422, 538, 19634, 2740, 18451, 915, 609, 693, 2274, 770, 29358, 476, 4649, 4939, 29485, 563, 5425, 7644, 9539, 4953, 11929, 6520, 23423, 1299, 4039, 1314, 566, 2433, 8894, 268, 1280, 808, 27184, 630, 25892, 264, 2433, 26228, 476, 2764, 1296, 630, 5580, 2085, 3970, 949, 581, 6001, 762, 909, 547, 476, 276, 1296, 538, 2013, 540, 14662, 1315, 5254, 1315, 31080, 609, 26225, 630, 303, 310, 291, 264, 1315, 4775, 23078, 543, 476, 6734, 1032, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26466, 4520, 543, 26930, 257, 607, 851, 540, 834, 15771, 6579, 5308, 8008, 14176, 1315, 28073, 1315, 1401, 626, 1113, 1143, 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, 256, 1284, 616, 827, 547, 2263, 875, 1004, 538, 519, 2250, 723, 6766, 519, 1158, 649, 2661, 538, 2221, 269, 5620, 596, 2479, 9289, 1946, 649, 1353, 3504, 12977, 899, 10255, 543, 7507, 286, 898, 7140, 856, 602, 891, 2025, 4529, 723, 1044, 513, 2462, 6667, 585, 1082, 1919, 649, 917, 543, 946, 2221, 256, 901, 1523, 568, 1419, 5219, 547, 607, 519, 834, 1042, 18752, 540, 25196, 2437, 543, 621, 5129, 513, 1713, 1909, 538, 5935, 938, 2413, 1158, 780, 4131, 781, 1376, 676, 31935, 602, 596, 1336, 513, 2731, 3579, 5373, 593, 519, 2666, 1247, 4730, 3544, 269, 1411, 1397, 707, 2828, 267, 543, 789, 1589, 621, 781, 5863, 1932, 256, 3683, 942, 267, 824, 3214, 1294, 707, 5373, 543, 2253, 2870, 741, 1378, 8747, 267, 4946, 1007, 3877, 543, 2093, 269, 4634, 1498, 1142, 4819, 814, 741, 2189, 2511, 267, 3025, 23216, 602, 707, 3312, 5373, 17275, 741, 5876, 780, 306, 15036, 2147, 5949, 1282, 519, 11193, 267, 513, 1974, 950, 5159, 267, 5830, 267, 543, 5640, 3323, 3168, 1394, 693, 519, 1148, 267, 3332, 267, 543, 24866, 540, 3504, 10255, 543, 7507, 269, 1358, 4718, 891, 1568, 607, 3631, 29932, 10274, 1765, 1721, 2870, 1007, 543, 5499, 4773, 540, 741, 1378, 269, 1452, 2038, 7969, 3425, 267, 1175, 899, 1346, 3214, 945, 23652, 707, 5373, 267, 25343, 543, 4121, 689, 519, 1390, 8186, 540, 25196, 269, 1635, 3257, 865, 267, 789, 5280, 3337, 513, 2898, 1007, 5736, 267, 1634, 607, 29678, 780, 3086, 596, 1522, 4898, 267, 1018, 1281, 782, 540, 713, 1611, 286, 4270, 267, 1577, 803, 2285, 596, 606, 1383, 1210, 1945, 5432, 281, 3381, 3756, 256, 5994, 952, 3014, 9367, 1152, 2813, 1007, 3756, 1759, 593, 2487, 3283, 282, 4166, 2614, 267, 789, 1131, 2196, 856, 540, 4195, 2093, 269, 1809, 3079, 267, 9858, 1413, 1394, 693, 5929, 3756, 899, 8111, 631, 9222, 645, 4592, 1421, 623, 659, 5336, 534, 267, 610, 1256, 21802, 585, 6667, 269, 1358, 5660, 519, 15851, 2609, 602, 1500, 891, 3756, 3811, 543, 4019, 873, 547, 1711, 6216, 1007, 2833, 269, 2334, 781, 2186, 540, 899, 1018, 5949, 1282, 519, 11193, 2439, 3383, 267, 2429, 1686, 267, 1004, 1832, 2469, 1394, 547, 519, 1134, 540, 25196, 547, 1265, 13085, 2035, 602, 1869, 3180, 1871, 2221, 269, 7073, 640, 267, 1287, 267, 3587, 513, 3575, 540, 1312, 1007, 543, 2025, 2093, 269, 1656, 1317, 540, 713, 5571, 5188, 1063, 2250, 543, 1459, 267, 8103, 8952, 3395, 543, 1565, 1927, 269, 27355, 1405, 602, 4241, 286, 3767, 979, 6619, 543, 2671, 713, 1650, 609, 707, 2828, 267, 11121, 873, 547, 1451, 811, 827, 938, 6909, 3838, 6561, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12901, 18709, 543, 922, 2561, 10187, 566, 281, 589, 28220, 540, 519, 9046, 454, 257, 5226, 573, 1609, 679, 574, 620, 328, 644, 9631, 23036, 2351, 807, 267, 844, 600, 4936, 320, 3288, 639, 8119, 272, 2060, 713, 2243, 25845, 1723, 8891, 337, 2117, 320, 630, 9873, 275, 1700, 15389, 275, 264, 6829, 519, 1915, 540, 2038, 7969, 1480, 1143, 269, 634, 2699, 18752, 540, 25196, 543, 519, 18956, 689, 519, 512, 2940, 3630, 324, 9497, 323, 1046, 1145, 8442, 540, 519, 5420, 10917, 639, 9497, 29557, 6520, 8442, 2968, 519, 10872, 540, 519, 11193, 267, 273, 3976, 22305, 584, 908, 606, 22184, 602, 267, 4098, 609, 519, 17046, 6498, 540, 1686, 883, 1614, 5712, 538, 2441, 2684, 8426, 23581, 781, 630, 14321, 279, 1700, 10204, 278, 264, 16024, 807, 17629, 529, 267, 1131, 581, 1572, 29678, 269, 274, 1677, 2322, 621, 538, 513, 5594, 27105, 1106, 281, 29678, 729, 3989, 1996, 519, 4282, 540, 25196, 267, 543, 1510, 4704, 547, 519, 2203, 540, 25196, 972, 1131, 581, 1100, 29678, 563, 3719, 1018, 568, 519, 834, 16347, 540, 25196, 8119, 1215, 666, 519, 3157, 540, 21200, 543, 4483, 602, 20690, 713, 1523, 581, 18113, 4330, 286, 275, 22604, 3144, 689, 519, 15312, 540, 21200, 2709, 930, 5583, 269, 634, 3804, 540, 713, 5133, 267, 799, 568, 693, 1753, 1965, 701, 25556, 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, 1015, 281, 8745, 267, 12005, 267, 543, 700, 1731, 8864, 630, 301, 6579, 264, 7126, 538, 5441, 11846, 692, 5970, 596, 2479, 26927, 3139, 540, 4742, 513, 4583, 19002, 286, 9320, 596, 4952, 4730, 538, 4395, 540, 5215, 540, 1750, 1359, 11655, 267, 18176, 519, 10888, 3804, 267, 610, 8840, 513, 32618, 2594, 269, 1306, 3579, 607, 1346, 1919, 1522, 581, 267, 972, 781, 1776, 2427, 547, 21239, 602, 1004, 1419, 1810, 1405, 1589, 827, 1107, 707, 2012, 267, 3239, 267, 543, 6010, 8864, 630, 528, 715, 6579, 264, 2348, 1871, 256, 2334, 1797, 3549, 1522, 1616, 547, 2628, 596, 547, 946, 707, 4605, 267, 23596, 741, 2472, 267, 610, 1256, 1175, 2161, 8799, 1919, 827, 873, 593, 1514, 2923, 269, 1809, 1018, 4523, 950, 621, 2501, 547, 2852, 9845, 286, 9701, 789, 1205, 6976, 585, 1210, 741, 715, 6579, 267, 1932, 286, 2913, 781, 4685, 883, 713, 4241, 1888, 2439, 5331, 1373, 513, 5182, 10116, 3724, 693, 513, 2462, 6280, 269, 1411, 6108, 3108, 1142, 1554, 8026, 267, 4974, 4249, 267, 543, 2324, 856, 547, 581, 519, 1655, 6345, 596, 666, 581, 269, 2659, 2182, 960, 17188, 1055, 267, 543, 4166, 2614, 267, 596, 1831, 835, 540, 519, 1034, 6444, 5716, 538, 519, 2197, 269, 4658, 1294, 707, 3068, 593, 7641, 267, 1224, 4930, 827, 596, 2228, 267, 543, 5957, 28478, 572, 903, 609, 707, 1297, 593, 873, 269, 898, 781, 2922, 547, 2161, 602, 707, 2012, 267, 3239, 267, 543, 6010, 8864, 3180, 1713, 1871, 269, 1717, 267, 2394, 5063, 267, 12621, 4769, 1405, 723, 547, 2671, 1022, 540, 519, 2724, 1500, 689, 25584, 267, 22099, 267, 610, 824, 3255, 602, 1031, 707, 715, 6579, 780, 14188, 2685, 267, 930, 6845, 2209, 4718, 875, 15490, 713, 729, 543, 4956, 547, 798, 1945, 827, 621, 269, 1358, 5189, 513, 1007, 1876, 1572, 519, 5441, 26465, 525, 10466, 1299, 3281, 18730, 2920, 269, 901, 14262, 3915, 6663, 547, 2285, 2852, 9845, 811, 1852, 936, 741, 4408, 267, 2592, 267, 543, 6010, 8864, 525, 269, 1924, 267, 1018, 1281, 602, 1611, 4010, 286, 4270, 267, 1577, 781, 2736, 1524, 891, 1614, 1913, 543, 2263, 1946, 789, 2339, 865, 1454, 547, 2852, 9845, 780, 1262, 2793, 10933, 5093, 6056, 827, 875, 1419, 1004, 1289, 856, 707, 2012, 950, 789, 2911, 547, 596, 269, 18780, 616, 2189, 1541, 13294, 282, 789, 948, 721, 2995, 1866, 6306, 543, 1921, 609, 835, 1776, 269, 1280, 2852, 9845, 267, 741, 4408, 666, 1831, 3833, 2442, 1813, 547, 741, 10781, 538, 5026, 269, 1635, 3850, 9845, 547, 7443, 689, 741, 4408, 267, 713, 1007, 1876, 26342, 741, 1367, 7418, 547, 519, 2319, 781, 1967, 780, 1262, 296, 7246, 12283, 5093, 1879, 649, 5873, 519, 2262, 1412, 13548, 10086, 649, 2356, 1589, 540, 5961, 610, 7044, 269, 1323, 19002, 781, 3239, 4422, 3564, 1175, 3168, 1434, 593, 8254, 267, 1498, 269, 898, 849, 13315, 3388, 2404, 609, 873, 267, 899, 741, 2511, 267, 7209, 267, 543, 10639, 269, 2060, 713, 1007, 9086, 267, 2852, 9845, 786, 6368, 723, 519, 4960, 547, 4324, 20019, 952, 2576, 6499, 547, 946, 741, 3239, 538, 5010, 338, 267, 18537, 267, 610, 30572, 2326, 780, 1262, 299, 31082, 2894, 8577, 5093, 5381, 547, 606, 3239, 267, 6010, 8864, 4016, 547, 4376, 23401, 606, 19002, 781, 5920, 610, 1268, 320, 269, 1403, 513, 2754, 3096, 513, 20419, 1915, 602, 5654, 899, 513, 1880, 14912, 6345, 267, 602, 1131, 2887, 896, 6010, 8864, 2924, 269, 3807, 899, 609, 4408, 543, 2592, 267, 519, 5441, 26465, 525, 10466, 1299, 3281, 18730, 2920, 5849, 602, 2852, 9845, 4309, 4023, 13180, 8164, 741, 6010, 8864, 568, 1031, 585, 5010, 5301, 780, 3086, 602, 649, 1174, 1018, 715, 6579, 6763, 585, 267, 1577, 781, 1865, 1776, 1898, 2460, 540, 713, 1007, 1876, 910, 2564, 3972, 7482, 269, 5994, 3478, 10413, 1282, 513, 3014, 543, 17596, 6391, 610, 2168, 3797, 547, 9156, 269, 10251, 267, 7063, 616, 7168, 1455, 538, 2852, 5026, 269, 6969, 713, 1007, 3915, 3357, 2059, 267, 3506, 941, 3743, 585, 8720, 2564, 9276, 267, 855, 3006, 789, 9327, 1405, 3382, 3388, 267, 6028, 9845, 609, 646, 11998, 12014, 269, 1677, 2232, 713, 3390, 267, 519, 5441, 26465, 525, 10466, 1299, 3281, 18730, 2920, 5932, 513, 6481, 11565, 8750, 602, 786, 1491, 1416, 540, 13676, 9845, 262, 3782, 3790, 269, 901, 1259, 267, 9845, 666, 1445, 593, 7067, 3079, 540, 20468, 827, 2724, 780, 1103, 3932, 267, 519, 5441, 26465, 525, 10466, 1299, 3281, 18730, 2920, 568, 513, 5458, 3094, 585, 2852, 9845, 269, 3502, 1152, 1281, 621, 1450, 873, 547, 7118, 2724, 689, 741, 4408, 267, 2592, 267, 543, 6010, 8864, 525, 267, 855, 621, 849, 2488, 1732, 1489, 585, 13676, 9845, 998, 2564, 3972, 7482, 269, 1452, 2242, 3895, 14619, 543, 7862, 1369, 2852, 5026, 1247, 8497, 519, 6891, 540, 6735, 543, 23274, 602, 2306, 873, 865, 2027, 269, 16593, 2685, 267, 2104, 5481, 540, 2852, 9845, 786, 2972, 891, 2640, 543, 3136, 13197, 741, 9909, 1312, 593, 543, 1055, 519, 2361, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 25938, 2209, 9400, 18671, 618, 15595, 630, 291, 268, 3519, 333, 13776, 595, 800, 3883, 518, 630, 291, 9539, 12282, 4700, 543, 32515, 5651, 534, 630, 305, 11860, 534, 4700, 723, 8678, 4229, 547, 14773, 519, 5441, 26465, 525, 10466, 1299, 3281, 18730, 2920, 267, 513, 19506, 536, 760, 691, 16388, 15424, 5943, 602, 11394, 547, 6963, 2852, 7619, 923, 543, 4225, 2875, 9845, 685, 1072, 267, 2069, 543, 2804, 2924, 563, 763, 6069, 3915, 267, 799, 5036, 3084, 4441, 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 ]
[ 4297, 1341, 630, 4118, 4877, 578, 4433, 333, 820, 14729, 910, 1426, 14729, 267, 476, 273, 30727, 2999, 476, 1626, 6769, 1038, 1426, 13448, 815, 630, 12690, 20120, 9792, 263, 271, 267, 476, 278, 5780, 17903, 1038, 1426, 14729, 815, 630, 12690, 20120, 9792, 263, 271, 267, 476, 276, 5780, 17903, 1038, 3259, 5334, 333, 820, 6834, 476, 272, 1477, 825, 27368, 269, 5891, 269, 26303, 14052, 825, 9219, 6745, 1157, 4433, 333, 820, 5334, 32497, 3418, 0, 5976, 1930, 3488, 32491, 2719, 7272, 3326, 17902, 3299, 1412, 320, 10807, 607, 6032, 912, 453, 6112, 6936, 912, 453, 453, 4067, 815, 3403, 2891, 8923, 4283, 707, 2012, 263, 10938, 1412, 336, 262, 547, 16718, 2567, 19515, 453, 453, 22529, 525, 815, 3403, 2891, 3963, 798, 596, 899, 5752, 286, 263, 10938, 1412, 336, 262, 547, 16718, 2567, 315, 333, 5602, 453, 14851, 2012, 2652, 1412, 336, 12466, 4848, 453, 19874, 454, 453, 453, 19197, 6114, 2652, 1412, 336, 12466, 4848, 453, 19874, 454, 453, 28432, 912, 4848, 453, 653, 22182, 28442, 1341, 834, 262, 338, 6114, 24097, 333, 5602, 4848, 453, 653, 22182, 263, 22529, 525, 1341, 1412, 315, 333, 17210, 0, 258, 476, 274, 268, 272, 18780, 912, 12849, 815, 22373, 344, 836, 2580, 834, 329, 1783, 2580, 834, 329, 659, 984, 2580, 834, 531, 1410, 2580, 834, 331, 1075, 344, 31116, 2745, 3799, 1868, 314, 271, 3910, 12849, 314, 272, 3910, 12849, 314, 273, 3910, 12849, 314, 274, 3910, 12849, 314, 275, 20285, 258, 476, 274, 268, 273, 13983, 564, 902, 912, 21346, 720, 815, 535, 257, 31435, 2715, 12849, 314, 274, 4940, 27583, 3890, 9574, 5620, 513, 8799, 1554, 30882, 2745, 9852, 817, 720, 2020, 258, 476, 274, 268, 274, 2659, 13574, 5903, 912, 557, 327, 1834, 815, 22373, 332, 19318, 12860, 2580, 834, 8364, 2580, 834, 30221, 2580, 834, 12712, 2280, 5721, 31116, 21346, 720, 815, 535, 19285, 1616, 547, 979, 2142, 328, 297, 532, 676, 2715, 557, 327, 1834, 15631, 272, 316, 348, 4799, 2745, 9852, 817, 720, 2020, 258, 476, 274, 268, 275, 2871, 652, 5903, 912, 7666, 652, 12173, 815, 18358, 329, 1783, 3299, 1412, 329, 599, 3299, 1412, 10420, 956, 3299, 1412, 531, 1410, 23300, 21346, 720, 815, 535, 257, 17098, 938, 14538, 2433, 346, 7666, 652, 12173, 9574, 649, 1131, 899, 547, 16436, 596, 547, 12129, 9522, 697, 476, 278, 10975, 4799, 2745, 9852, 817, 720, 2020, 258, 476, 274, 268, 276, 21744, 2871, 652, 1592, 912, 322, 656, 318, 2492, 815, 16823, 12173, 21014, 263, 273, 994, 2745, 6600, 257, 346, 322, 656, 318, 2492, 348, 666, 1405, 1118, 519, 12129, 267, 1631, 649, 723, 2715, 7666, 652, 12173, 348, 23528, 7666, 652, 12173, 27044, 263, 273, 267, 834, 331, 1075, 344, 5602, 2745, 6600, 257, 933, 723, 513, 1007, 16823, 2715, 7666, 652, 12173, 314, 273, 316, 9574, 712, 1007, 16823, 1592, 568, 2433, 2715, 7666, 652, 12173, 348, 257, 9239, 258, 476, 274, 268, 277, 2859, 2871, 3949, 912, 7666, 652, 12173, 27044, 263, 271, 267, 834, 20809, 5602, 7666, 652, 12173, 27044, 263, 273, 267, 834, 297, 659, 984, 5602, 7666, 652, 12173, 6910, 2891, 331, 1176, 5602, 2745, 6600, 20442, 1175, 1336, 513, 8273, 12129, 3349, 267, 810, 649, 16436, 476, 274, 811, 14538, 2433, 346, 7666, 652, 12173, 314, 271, 316, 9574, 2715, 7666, 652, 12173, 314, 273, 316, 9574, 2715, 7666, 652, 12173, 15631, 272, 316, 9574, 1631, 938, 16823, 1592, 568, 2433, 1422, 333, 346, 7666, 652, 12173, 348, 1701, 25589, 258, 476, 274, 268, 278, 1744, 2590, 6362, 2871, 652, 5903, 912, 2745, 2891, 763, 1007, 12129, 3349, 4465, 1405, 12446, 538, 942, 267, 865, 649, 1175, 723, 2230, 2062, 1152, 1079, 14538, 257, 9239, 1721, 1775, 538, 2039, 12759, 263, 7666, 652, 12173, 264, 910, 476, 273, 2187, 453, 7666, 652, 318, 8145, 3437, 815, 16823, 12173, 21014, 4590, 13537, 6600, 28494, 13446, 2715, 7666, 652, 318, 8145, 3437, 9574, 1284, 1810, 1405, 723, 2614, 10160, 547, 538, 643, 974, 596, 547, 519, 12129, 2073, 16673, 2041, 1985, 942, 10590, 2020, 2745, 6600, 257, 17098, 267, 2715, 7666, 652, 12173, 9574, 596, 1869, 593, 519, 1592, 269, 8080, 547, 519, 12129, 9522, 580, 339, 32405, 258, 585, 519, 476, 274, 268, 280, 454, 2745, 6600, 257, 933, 723, 14376, 2715, 6352, 263, 7666, 652, 12173, 14587, 14538, 693, 2063, 23528, 23437, 16823, 12173, 314, 271, 2639, 23437, 16823, 12173, 314, 271, 2639, 2745, 6600, 257, 302, 330, 8737, 267, 972, 568, 723, 2433, 2715, 7666, 652, 12173, 348, 538, 1592, 1701, 2020, 258, 476, 274, 268, 279, 22628, 519, 2622, 912, 331, 23148, 815, 18358, 2041, 18268, 3299, 1412, 22974, 329, 532, 3299, 834, 3495, 262, 534, 2580, 1412, 28702, 30795, 784, 3299, 1412, 1663, 1195, 836, 23300, 2745, 6600, 257, 10472, 568, 519, 3312, 1592, 24097, 333, 29146, 346, 331, 23148, 348, 5602, 2745, 6600, 257, 10472, 568, 519, 1592, 538, 9904, 673, 1931, 24097, 333, 29146, 346, 338, 9285, 10857, 23148, 264, 9574, 315, 333, 663, 519, 3312, 1592, 1869, 568, 2433, 1422, 333, 29146, 346, 331, 23148, 348, 5602, 331, 23148, 18622, 2091, 4590, 2745, 6600, 257, 10472, 568, 519, 1592, 538, 9258, 24097, 333, 29146, 346, 331, 23148, 348, 5602, 331, 23148, 18622, 2091, 4590, 2745, 6600, 257, 663, 9258, 1776, 942, 2433, 315, 333, 29146, 346, 331, 23148, 348, 5602, 331, 23148, 31699, 4590, 2745, 6600, 1405, 515, 1592, 814, 2041, 523, 4990, 676, 9904, 673, 1931, 7165, 333, 550, 1176, 24097, 333, 29146, 346, 331, 23148, 348, 5073, 331, 23148, 31699, 263, 516, 2091, 18989, 994, 2745, 6600, 257, 1492, 1592, 814, 1044, 9258, 7165, 333, 550, 1176, 281, 1422, 333, 29146, 346, 331, 23148, 348, 15419, 258, 476, 274, 268, 280, 20550, 1676, 2871, 3949, 912, 2745, 6600, 257, 933, 723, 14376, 2715, 6352, 263, 7666, 652, 12173, 14587, 14538, 693, 2063, 1701, 2020, 258, 476, 274, 268, 1015, 5272, 9577, 912, 12248, 787, 625, 815, 18358, 19770, 3299, 834, 4785, 2580, 834, 297, 3253, 2580, 834, 20084, 2580, 834, 293, 13361, 2580, 834, 30051, 31116, 2745, 4433, 9285, 6262, 870, 787, 625, 4917, 2745, 6262, 870, 787, 625, 994, 12248, 787, 625, 18622, 2091, 4590, 2745, 6262, 870, 787, 625, 994, 12248, 787, 625, 31699, 4590, 2745, 6262, 870, 787, 625, 994, 12248, 787, 625, 31699, 263, 516, 2091, 18989, 994, 2745, 6262, 870, 787, 625, 2020, 258, 476, 274, 268, 1556, 18532, 18438, 454, 2745, 263, 7666, 652, 12173, 15631, 272, 20285, 0, 258, 476, 279, 268, 272, 8160, 20687, 912, 3698, 4159, 8548, 20687, 10031, 13537, 2891, 296, 993, 2469, 547, 1565, 827, 12793, 538, 713, 3184, 1701, 2020, 5891, 8548, 20687, 30800, 258, 476, 279, 268, 273, 12171, 2948, 924, 3883, 912, 3698, 5172, 318, 1504, 6025, 1856, 2187, 13537, 6600, 257, 3080, 540, 1250, 5172, 2835, 568, 2715, 27583, 26644, 3890, 348, 1701, 2020, 325, 2948, 924, 318, 1504, 2891, 531, 823, 538, 4898, 1633, 15419, 258, 476, 279, 268, 274, 269, 570, 27691, 7398, 912, 3698, 1118, 318, 3333, 7398, 4433, 1125, 267, 5048, 8782, 296, 2648, 9226, 262, 2187, 13537, 6600, 257, 315, 333, 29146, 23917, 281, 2715, 21653, 4153, 333, 29146, 300, 20687, 281, 2715, 332, 20687, 348, 15419, 24708, 318, 3333, 7398, 3488, 332, 3299, 834, 331, 913, 5602, 24708, 318, 3333, 7398, 9852, 20687, 8782, 31742, 707, 2295, 3299, 2450, 8782, 338, 17210, 258, 476, 279, 268, 275, 11482, 1618, 1744, 16630, 912, 24708, 318, 3333, 7398, 3488, 299, 17210, 258, 476, 279, 268, 276, 269, 20079, 912, 3698, 4766, 6831, 640, 6262, 640, 267, 2197, 8782, 577, 2088, 262, 2187, 13537, 6600, 257, 346, 322, 640, 26644, 3890, 348, 568, 538, 2715, 12248, 787, 26644, 3890, 348, 15419, 9188, 9216, 6831, 640, 3488, 2041, 18268, 5073, 9188, 9216, 6831, 640, 6262, 640, 8782, 3333, 534, 25131, 5073, 9188, 9216, 6831, 640, 3488, 2908, 707, 330, 3299, 1412, 4785, 17210, 258, 476, 279, 268, 277, 269, 4975, 18780, 912, 3698, 2749, 18045, 787, 28442, 267, 2197, 2187, 453, 16769, 815, 535, 257, 346, 4067, 9574, 2715, 12248, 787, 348, 4840, 16596, 9623, 692, 335, 1515, 272, 815, 2749, 18045, 787, 3488, 6826, 18268, 3299, 2197, 8782, 19770, 5073, 335, 1515, 273, 815, 2749, 18045, 787, 3488, 3333, 534, 25131, 3299, 1412, 19770, 5073, 335, 1515, 274, 815, 2749, 18045, 787, 3488, 6124, 3840, 3299, 834, 4785, 15419, 2745, 9638, 1515, 272, 994, 2745, 9638, 1515, 273, 994, 2745, 9638, 1515, 274, 2020, 258, 279, 268, 278, 269, 19186, 636, 912, 3698, 1118, 318, 531, 321, 636, 263, 691, 626, 267, 2140, 267, 8964, 22561, 2187, 14851, 8964, 912, 453, 453, 531, 321, 636, 815, 27835, 691, 626, 9166, 7376, 267, 1412, 27583, 9166, 2140, 267, 1412, 338, 29330, 9166, 8964, 8679, 28432, 912, 453, 453, 531, 321, 636, 815, 27835, 691, 626, 9166, 7376, 267, 1412, 27583, 9166, 2140, 8679, 16596, 17581, 454, 531, 321, 636, 272, 815, 1118, 318, 531, 321, 636, 3488, 1228, 548, 3299, 1412, 1704, 3299, 476, 1321, 994, 2745, 263, 531, 321, 636, 272, 994, 531, 321, 636, 273, 815, 1118, 318, 531, 321, 636, 3488, 329, 1783, 23047, 3299, 1412, 933, 2206, 267, 649, 7544, 267, 649, 795, 636, 701, 5073, 2745, 263, 531, 321, 636, 273, 2020, 258, 476, 279, 268, 279, 269, 27165, 19186, 4548, 912, 258, 1247, 6936, 912, 258, 476, 13537, 19629, 333, 8923, 2995, 803, 930, 9623, 827, 519, 17581, 5602, 258, 476, 13537, 2891, 263, 10938, 1412, 336, 262, 693, 1022, 942, 547, 16718, 23528, 258, 476, 453, 600, 318, 691, 626, 815, 3403, 2891, 921, 848, 2995, 803, 519, 7376, 2012, 540, 519, 17581, 281, 19515, 258, 476, 14851, 993, 318, 691, 626, 2652, 1412, 336, 12466, 258, 476, 453, 453, 19874, 454, 258, 476, 453, 600, 4671, 527, 850, 815, 3403, 2891, 921, 848, 2995, 803, 519, 2140, 540, 519, 17581, 281, 19515, 258, 476, 14851, 993, 4671, 527, 850, 2652, 1412, 336, 12466, 258, 476, 453, 453, 19874, 454, 258, 476, 453, 600, 5334, 29330, 815, 703, 9272, 2891, 1692, 1082, 8964, 786, 519, 17581, 723, 281, 27328, 258, 476, 14851, 993, 5334, 29330, 2652, 1412, 336, 12466, 258, 476, 453, 453, 19874, 454, 258, 476, 453, 531, 321, 636, 815, 1118, 318, 531, 321, 636, 263, 600, 318, 691, 626, 267, 993, 4671, 527, 850, 267, 993, 5334, 29330, 994, 258, 476, 13537, 263, 531, 321, 636, 994, 258, 476, 279, 268, 280, 8160, 612, 1137, 912, 3698, 1397, 8548, 612, 1137, 9852, 612, 1137, 2187, 22610, 5048, 538, 6835, 912, 453, 13537, 9852, 20687, 2020, 26211, 8548, 612, 1137, 815, 18358, 15916, 267, 2622, 256, 3299, 1412, 5970, 513, 8799, 1554, 256, 3299, 1412, 31917, 547, 1294, 596, 256, 262, 6540, 258, 476, 279, 268, 1015, 2529, 2056, 11619, 1137, 912, 3698, 6494, 8548, 612, 1137, 263, 12584, 550, 8548, 612, 1137, 267, 2366, 8548, 612, 1137, 2187, 453, 6112, 5667, 550, 8548, 612, 1137, 912, 453, 453, 338, 550, 8548, 20687, 815, 5667, 550, 8548, 612, 1137, 21014, 4590, 453, 13537, 6600, 257, 338, 550, 513, 5048, 281, 346, 338, 550, 8548, 20687, 348, 5602, 453, 453, 338, 550, 8548, 612, 1137, 6910, 4433, 550, 8548, 20687, 2020, 338, 550, 8548, 612, 1137, 815, 11713, 338, 754, 8548, 612, 1137, 263, 26211, 8548, 612, 1137, 11468, 3910, 2366, 8548, 612, 1137, 994, 19651, 8548, 612, 1137, 4433, 550, 8548, 612, 1137, 2020, 258, 476, 279, 268, 1556, 21444, 11619, 1137, 912, 2745, 263, 26211, 8548, 612, 1137, 2020, 258, 476, 279, 268, 1321, 269, 9995, 23495, 1127, 912, 3698, 32409, 28949, 19477, 2187, 13537, 263, 19477, 2020, 338, 663, 23495, 1127, 3488, 30103, 3299, 1412, 2041, 1030, 5073, 338, 663, 23495, 1127, 3488, 30103, 3299, 1412, 557, 326, 520, 1963, 12887, 335, 1251, 5073, 338, 663, 23495, 1127, 3488, 335, 1251, 17210, 258, 476, 279, 268, 1724, 269, 27165, 28483, 912, 3698, 1628, 318, 2889, 12803, 6600, 1009, 267, 2063, 267, 2878, 12528, 318, 16769, 2187, 453, 18851, 30395, 513, 8675, 5627, 3388, 649, 917, 827, 513, 3593, 27969, 454, 453, 12528, 318, 16769, 9131, 14140, 12173, 11172, 815, 1101, 454, 453, 12528, 318, 16769, 9131, 18431, 12173, 11172, 815, 2063, 454, 16596, 3593, 318, 16769, 692, 12528, 318, 2889, 12803, 815, 1628, 318, 2889, 12803, 3488, 297, 1783, 3299, 1412, 299, 2465, 22779, 453, 4449, 16875, 3655, 990, 528, 924, 8782, 16443, 545 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23516, 2782, 321, 2401, 630, 303, 1506, 961, 8113, 22455, 1208, 324, 328, 264, 610, 670, 2541, 781, 2782, 321, 2401, 568, 513, 1507, 6978, 2112, 321, 2401, 799, 14981, 538, 519, 10239, 540, 3844, 5607, 689, 519, 9699, 918, 2313, 543, 10127, 752, 528, 600, 7532, 543, 5087, 547, 519, 570, 1329, 22767, 538, 3624, 543, 519, 16816, 599, 15142, 538, 31322, 563, 763, 4625, 782, 641, 6222, 630, 613, 25140, 9674, 264, 28849, 8260, 749, 4512, 910, 3006, 9674, 607, 13495, 749, 781, 2782, 321, 2401, 910, 4386, 538, 519, 9456, 25307, 17934, 879, 630, 2704, 1598, 7238, 332, 476, 1220, 277, 1040, 901, 2112, 321, 2401, 568, 27436, 543, 24475, 5631, 538, 3127, 563, 1607, 568, 513, 1455, 6177, 540, 7823, 3574, 4133, 693, 31556, 540, 909, 547, 476, 274, 267, 4335, 332, 269, 634, 9566, 568, 3710, 593, 519, 2666, 563, 1607, 6263, 2112, 321, 2401, 568, 12155, 547, 13112, 337, 3599, 607, 2484, 607, 7262, 2342, 538, 5239, 267, 5103, 513, 476, 4968, 271, 14790, 3845, 689, 922, 9960, 12406, 269, 898, 568, 513, 4686, 13112, 7949, 538, 3735, 15489, 543, 5162, 538, 4279, 6628, 563, 2005, 729, 5063, 8237, 630, 306, 836, 3122, 1696, 620, 1421, 476, 1220, 273, 264, 689, 519, 14117, 1532, 992, 539, 2782, 321, 2401, 630, 303, 1506, 961, 8113, 22455, 538, 1941, 9850, 1070, 1759, 593, 3604, 538, 19916, 630, 4537, 597, 8811, 2967, 543, 8496, 613, 267, 476, 1960, 274, 1070, 6915, 659, 24065, 923, 630, 2704, 1598, 7238, 332, 543, 9986, 26856, 267, 476, 2735, 279, 282, 7054, 7773, 1696, 620, 1421, 476, 1220, 272, 1070, 543, 7636, 3197, 630, 296, 337, 7773, 1696, 620, 1421, 476, 1220, 272, 1040, 634, 5375, 670, 2541, 781, 23516, 2782, 321, 2401, 781, 2039, 6772, 2355, 609, 602, 540, 519, 14117, 1532, 992, 539, 2782, 321, 2401, 538, 519, 7262, 17166, 534, 15142, 630, 11293, 333, 560, 267, 476, 1960, 277, 1070, 855, 519, 2249, 15151, 798, 711, 10316, 1125, 630, 296, 337, 7773, 1696, 620, 1421, 476, 1220, 272, 1040, 634, 27754, 1063, 519, 1079, 2249, 814, 1044, 17895, 8271, 6059, 693, 10199, 476, 273, 267, 276, 1250, 320, 267, 543, 602, 1063, 519, 623, 269, 554, 269, 1208, 324, 328, 543, 623, 269, 554, 269, 8260, 22088, 693, 827, 476, 272, 1250, 320, 630, 296, 337, 7773, 1696, 620, 1421, 476, 1220, 272, 1916, 1607, 6177, 568, 3957, 1310, 30129, 4239, 822, 1014, 670, 2541, 563, 763, 670, 2541, 781, 23516, 2782, 321, 2401, 568, 835, 540, 519, 10545, 2112, 4565, 619, 267, 543, 8843, 3039, 880, 5580, 30672, 543, 1055, 22554, 896, 30672, 609, 6093, 6978, 2112, 4565, 619, 269, 898, 568, 1360, 2147, 547, 519, 14117, 1532, 992, 539, 2782, 321, 2401, 267, 4687, 513, 1279, 2706, 4290, 1756, 630, 1467, 1657, 3750, 1070, 13862, 4174, 701, 543, 1134, 27360, 539, 512, 1068, 10118, 32372, 519, 8184, 17207, 602, 616, 14191, 547, 519, 6177, 781, 1560, 2059, 519, 13617, 1040, 1717, 267, 621, 814, 1152, 835, 7986, 13617, 3046, 267, 1152, 513, 25861, 2034, 13617, 3046, 543, 20585, 518, 15437, 269, 898, 849, 814, 4158, 7953, 543, 2539, 581, 752, 563, 1607, 6177, 568, 711, 21183, 267, 4352, 922, 818, 321, 648, 531, 1272, 2511, 2306, 621, 2352, 547, 7747, 269, 898, 568, 7683, 538, 5163, 563, 306, 784, 1315, 11910, 912, 21132, 5152, 568, 18388, 532, 543, 1164, 8486, 3481, 269, 634, 1655, 11984, 689, 519, 14117, 1532, 992, 539, 568, 519, 811, 771, 22690, 629, 545, 1289, 269, 2755, 519, 8109, 543, 5375, 670, 2541, 781, 23516, 2782, 4565, 619, 2907, 1397, 18476, 3604, 538, 544, 339, 19091, 5311, 543, 7125, 267, 741, 8964, 798, 711, 8428, 630, 296, 337, 7773, 1696, 620, 1421, 476, 1220, 272, 5148, 789, 616, 1065, 6055, 1947, 9678, 1152, 676, 782, 641, 520, 787, 543, 711, 2356, 2808, 5094, 2249, 563, 291, 2884, 1315, 30839, 912, 15648, 281, 9504, 269, 901, 2376, 568, 13931, 896, 519, 717, 26214, 5131, 11657, 566, 17821, 269, 898, 3096, 1570, 689, 454, 8923, 8074, 281, 634, 4930, 610, 2592, 593, 713, 2985, 616, 519, 6852, 3959, 540, 519, 4589, 610, 21706, 269, 7490, 3346, 873, 2047, 609, 2463, 547, 1022, 10677, 610, 24416, 2055, 269, 11289, 596, 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 ]
[ 7429, 538, 2098, 267, 538, 1082, 14034, 972, 568, 1100, 2189, 26458, 883, 6305, 2338, 269, 630, 305, 902, 1141, 621, 1281, 3180, 616, 1572, 2189, 26458, 11890, 4700, 1635, 4214, 267, 513, 6305, 4998, 568, 513, 1697, 4998, 971, 602, 267, 8164, 519, 1587, 705, 540, 1022, 1079, 8258, 2609, 513, 543, 536, 568, 538, 533, 267, 693, 2547, 835, 540, 519, 1079, 2609, 568, 2907, 538, 533, 269, 630, 763, 6587, 3932, 6585, 585, 1022, 4998, 267, 676, 4214, 1040, 4982, 2526, 1836, 267, 519, 3815, 8258, 681, 1315, 533, 568, 606, 7533, 6389, 269, 8616, 1776, 1259, 540, 11589, 519, 1482, 568, 547, 2161, 602, 519, 9148, 681, 533, 568, 3818, 2364, 8271, 6806, 269, 634, 2199, 5314, 630, 305, 533, 264, 6629, 272, 305, 568, 1271, 2614, 547, 723, 922, 1378, 10035, 281, 681, 335, 269, 901, 8258, 814, 1152, 835, 31062, 4998, 267, 12077, 533, 305, 335, 269, 6270, 14034, 616, 1572, 2199, 563, 3528, 519, 1657, 267, 1022, 31062, 4998, 568, 6305, 269, 1160, 1324, 602, 606, 4998, 568, 6305, 267, 610, 5973, 1836, 602, 513, 8258, 814, 1100, 4642, 1673, 643, 30583, 666, 581, 1360, 2352, 563, 763, 8552, 540, 2098, 454, 28269, 16431, 616, 519, 1883, 1900, 538, 16208, 513, 8258, 22762, 29182, 267, 3842, 519, 8552, 540, 513, 8258, 10410, 681, 281, 621, 568, 519, 1305, 540, 782, 6305, 16431, 540, 681, 16804, 333, 321, 476, 272, 316, 1306, 7074, 1657, 267, 972, 568, 693, 2547, 835, 6305, 4998, 267, 4061, 519, 8552, 568, 1875, 24105, 269, 1403, 681, 568, 513, 2361, 267, 519, 1152, 6305, 4998, 568, 519, 4642, 4998, 267, 4061, 519, 8552, 568, 1175, 835, 1448, 269, 634, 8552, 540, 2098, 267, 2705, 267, 3568, 835, 1448, 585, 519, 4642, 4998, 267, 543, 513, 1448, 585, 1022, 6305, 1297, 533, 630, 6518, 12958, 519, 6305, 4998, 533, 313, 1040, 634, 8552, 568, 1439, 15735, 609, 513, 23289, 1572, 519, 2098, 30213, 7288, 23289, 267, 799, 568, 5462, 676, 28408, 602, 29162, 667, 6600, 264, 815, 2073, 1141, 535, 568, 1022, 8258, 3693, 267, 581, 1930, 269, 901, 23289, 11148, 547, 581, 1114, 689, 1346, 11402, 538, 2079, 610, 11186, 9511, 282, 585, 1383, 267, 972, 786, 3622, 581, 2798, 799, 616, 711, 6806, 269, 634, 19479, 540, 519, 1448, 7222, 547, 519, 4642, 4998, 476, 271, 2340, 488, 480, 2098, 267, 585, 1383, 267, 568, 519, 2898, 8552, 540, 2098, 454, 763, 10206, 540, 513, 8552, 568, 519, 1455, 4493, 540, 862, 32477, 7223, 543, 15821, 9511, 269, 10789, 545, 9511, 23131, 676, 1439, 12976, 10410, 681, 609, 513, 1352, 2378, 630, 534, 11769, 602, 25173, 3252, 3989, 12725, 267, 1775, 4318, 269, 593, 8795, 1930, 29162, 1040, 634, 3611, 636, 540, 519, 2230, 543, 519, 1352, 2378, 568, 1572, 606, 3413, 710, 10325, 269, 9717, 606, 3413, 710, 10325, 267, 519, 5817, 8258, 681, 666, 581, 16626, 607, 519, 2518, 6810, 540, 1547, 5047, 267, 519, 3964, 835, 3562, 14633, 19359, 1063, 14034, 543, 3413, 710, 14565, 568, 849, 15095, 609, 8258, 4630, 14521, 3359, 281, 1022, 535, 2433, 681, 9890, 590, 3947, 4473, 547, 513, 6024, 4786, 538, 519, 6587, 4287, 454, 11854, 322, 590, 9890, 10410, 681, 267, 7117, 535, 6629, 272, 32429, 1070, 1775, 4318, 269, 1022, 6305, 4998, 540, 590, 568, 25528, 547, 922, 840, 13548, 896, 535, 267, 799, 568, 513, 6305, 4998, 540, 681, 563, 763, 8552, 849, 2306, 5730, 519, 20932, 602, 2199, 5314, 543, 3815, 14034, 616, 14911, 281, 519, 2067, 7851, 681, 9890, 681, 325, 543, 681, 9890, 681, 1315, 535, 305, 5330, 267, 1310, 1439, 12976, 519, 26034, 540, 519, 14034, 538, 2243, 609, 741, 2098, 30213, 7288, 23289, 267, 547, 14911, 1930, 543, 6806, 9284, 687, 6606, 563, 2704, 339, 6320, 519, 30424, 540, 519, 1079, 1767, 6688, 568, 1360, 19038, 547, 2992, 15821, 3601, 540, 14034, 538, 513, 22762, 3740, 6073, 269, 10500, 710, 14565, 616, 1700, 332, 1276, 519, 1482, 1259, 607, 7030, 9529, 616, 12725, 2016, 676, 1930, 29162, 540, 681, 333, 1700, 29985, 3631, 585, 14565, 267, 799, 616, 519, 1843, 540, 1353, 538, 15821, 9511, 269, 4475, 267, 1082, 18765, 602, 4019, 547, 14034, 543, 4630, 14521, 3359, 6565, 689, 12166, 20932, 563, 2026, 8912, 538, 7223, 267, 513, 1599, 535, 1063, 1079, 3615, 602, 24947, 519, 3889, 540, 519, 3615, 538, 2243, 568, 1572, 4630, 31532, 269, 769, 519, 2013, 540, 14034, 267, 513, 8258, 4630, 31532, 568, 513, 4786, 535, 2433, 681, 9890, 590, 971, 602, 454, 325, 5416, 1341, 536, 264, 815, 535, 5416, 264, 1341, 535, 6357, 1070, 535, 263, 629, 264, 815, 535, 5416, 264, 325, 6357, 264, 543, 535, 263, 272, 264, 815, 476, 272, 563, 4322, 2175, 2327, 535, 263, 271, 264, 815, 476, 271, 267, 855, 519, 10421, 602, 519, 3818, 2364, 894, 3961, 3693, 476, 272, 568, 12873, 896, 535, 1131, 711, 1246, 689, 519, 1079, 6967, 3601, 269, 769, 971, 513, 3510, 590, 568, 849, 1572, 606, 681, 17038, 5040, 267, 676, 1620, 602, 521, 538, 590, 949, 581, 16611, 676, 930, 678, 540, 681, 267, 676, 4259, 678, 5788, 521, 28701, 535, 16868, 264, 5788, 521, 563, 763, 17830, 543, 3239, 540, 535, 616, 3989, 676, 23128, 630, 325, 264, 815, 543, 708, 630, 325, 264, 815, 535, 27562, 264, 815, 1547, 5637, 17830, 543, 3239, 616, 1016, 337, 902, 540, 681, 543, 590, 267, 6606, 563, 763, 9018, 2497, 540, 513, 862, 32477, 8258, 568, 5462, 676, 6236, 5276, 7223, 936, 602, 8258, 267, 1775, 4318, 1421, 676, 14236, 519, 3069, 540, 922, 13838, 267, 799, 616, 2147, 547, 6152, 5624, 267, 4849, 602, 519, 3490, 568, 711, 8209, 513, 2361, 267, 855, 666, 581, 1022, 8258, 681, 269, 634, 3069, 540, 681, 21524, 2737, 568, 3648, 811, 2352, 982, 5276, 7223, 540, 6152, 5624, 269, 21602, 3069, 814, 547, 20920, 609, 7965, 971, 607, 13838, 711, 2348, 13279, 267, 602, 519, 7584, 540, 513, 1863, 9074, 630, 328, 4318, 269, 519, 12746, 540, 519, 10155, 540, 6152, 5624, 264, 949, 711, 581, 1134, 20452, 543, 602, 1016, 7116, 2737, 540, 1710, 7019, 6383, 13838, 991, 711, 581, 1710, 7019, 6383, 630, 684, 1652, 681, 568, 3143, 5930, 1014, 267, 1294, 2630, 1916, 29613, 1023, 1369, 513, 8258, 681, 666, 581, 6353, 607, 681, 21524, 2737, 799, 616, 1016, 7116, 2737, 540, 681, 269, 2201, 519, 835, 1688, 267, 513, 1434, 1620, 540, 681, 21524, 2737, 19329, 2614, 1344, 827, 681, 269, 21470, 17930, 267, 2705, 267, 1082, 2553, 538, 862, 32477, 7223, 602, 1353, 519, 2497, 540, 681, 267, 676, 6313, 922, 16431, 267, 8399, 676, 4974, 13838, 538, 2489, 563, 5591, 5930, 1014, 14034, 2433, 589, 8258, 568, 1572, 3143, 5930, 1014, 630, 514, 8956, 540, 2506, 3240, 3143, 5930, 267, 945, 2919, 713, 1523, 264, 952, 1169, 26799, 5832, 540, 16431, 454, 271, 2340, 488, 484, 594, 271, 2340, 488, 484, 594, 272, 2340, 488, 484, 769, 2340, 488, 484, 769, 1341, 476, 272, 2340, 488, 484, 454, 2041, 3699, 19335, 267, 1775, 4318, 269, 3587, 3586, 3564, 930, 4994, 562, 269, 4982, 2526, 1836, 267, 1022, 4998, 568, 6383, 676, 1710, 7019, 1082, 2609, 267, 610, 267, 2943, 6697, 267, 1016, 7116, 2737, 540, 1710, 7019, 6383, 13838, 616, 1710, 7019, 6383, 269, 589, 8258, 568, 1572, 3203, 15687, 630, 12898, 2506, 559, 3203, 514, 1070, 952, 1169, 27312, 5832, 540, 16431, 454, 305, 2340, 488, 485, 594, 271, 2340, 488, 485, 594, 272, 2340, 488, 485, 769, 2340, 488, 485, 769, 1341, 476, 272, 2340, 488, 485, 454, 2041, 3699, 19335, 5555, 269, 6736, 519, 1079, 2175, 17729, 21136, 267, 3143, 5930, 1014, 14034, 616, 1454, 811, 2489, 982, 3203, 15687, 14034, 269, 1280, 1383, 267, 2098, 568, 3143, 5930, 1014, 267, 2094, 1169, 4998, 666, 581, 6383, 676, 835, 3693, 267, 855, 568, 711, 3203, 15687, 267, 607, 519, 5832, 2098, 2098, 2098, 2098, 2982, 269, 769, 1249, 267, 1169, 3203, 15687, 8258, 568, 3143, 5930, 1014, 563, 18455, 3143, 5930, 1014, 568, 606, 5393, 1271, 1710, 527, 8864, 2783, 269, 634, 2783, 568, 12873, 896, 1082, 4238, 602, 2049, 4749, 538, 9511, 281, 952, 681, 568, 3143, 5930, 1014, 267, 1287, 865, 568, 519, 9971, 8258, 681, 314, 311, 272, 267, 2473, 273, 267, 2073, 2473, 333, 316, 630, 2421, 23664, 6975, 781, 4493, 11532, 1070, 1022, 31338, 590, 6629, 272, 305, 267, 3815, 14034, 681, 1315, 594, 563, 763, 918, 337, 1638, 10155, 630, 528, 3274, 10155, 264, 3897, 681, 540, 513, 8258, 681, 568, 513, 10206, 547, 2268, 519, 1412, 21653, 262, 540, 513, 8258, 267, 1360, 10199, 676, 519, 10203, 4830, 2609, 538, 681, 269, 2776, 322, 1047, 569, 267, 621, 568, 3989, 607, 519, 25160, 636, 540, 13080, 562, 540, 11800, 540, 6305, 16431, 454, 271, 2340, 488, 484, 533, 271, 2340, 488, 484, 533, 272, 2340, 488, 484, 2340, 488, 484, 533, 333, 563, 2690, 1383, 267, 513, 2361, 568, 4642, 8820, 267, 2094, 519, 1152, 6305, 4998, 568, 519, 4642, 4998, 269, 769, 1249, 267, 513, 8258, 568, 4642, 8820, 630, 328, 4318, 269, 14034, 782, 540, 4171, 6305, 16431, 616, 31062, 264, 952, 543, 1152, 952, 621, 568, 3203, 15687, 269, 634, 9981, 616, 835, 8820, 281, 1022, 5832, 540, 6305, 16431, 568, 540, 519, 1106, 476, 271, 815, 533, 271, 2340, 488, 484, 533, 313, 815, 533, 272, 267, 1141, 533, 568, 513, 6305, 1297, 2094, 1022, 4998, 538, 2098, 568, 9030, 7868, 10155, 31136, 1134, 952, 519, 14034, 538, 2243, 616, 3143, 5930, 1014, 281, 519, 4397, 7862, 454, 323, 574, 681, 314, 311, 316, 815, 3897, 681, 1341, 476, 272, 454, 9302, 538, 713, 2013, 630, 514, 2489, 267, 835, 814, 1152, 3897, 681, 1341, 476, 272, 18016, 3897, 681, 314, 311, 316, 18016, 476, 273, 5788, 3897, 681, 1341, 476, 272, 1040, 5015, 267, 2094, 519, 10155, 5673, 1152, 593, 835, 31062, 5832, 267, 519, 10155, 540, 681, 568, 519, 25160, 636, 540, 782, 7516, 540, 922, 2199, 31907, 681, 335, 267, 1141, 533, 568, 606, 17062, 6305, 4998, 269, 2271, 30698, 569, 267, 519, 10155, 540, 681, 568, 513, 2199, 3959, 540, 519, 8552, 540, 681, 269, 4475, 267, 519, 10155, 568, 1419, 2808, 585, 2199, 14034, 1152, 267, 849, 2094, 2489, 3143, 5930, 1014, 14034, 949, 1869, 581, 12808, 267, 5103, 782, 741, 2199, 31907, 1373, 13113, 8820, 563, 23005, 1456, 519, 10155, 540, 267, 2161, 267, 737, 314, 311, 272, 267, 2473, 273, 267, 2073, 2473, 333, 316, 1315, 630, 325, 272, 267, 535, 273, 267, 2073, 535, 332, 1070, 1141, 737, 568, 513, 2361, 543, 519, 535, 328, 616, 930, 21335, 538, 562, 4632, 267, 568, 3622, 711, 2653, 269, 1280, 681, 3143, 5930, 1014, 267, 519, 10155, 540, 681, 1315, 594, 568, 267, 676, 918, 337, 1638, 781, 9030, 4998, 11532, 267, 693, 2547, 3897, 681, 6567, 562, 267, 952, 594, 568, 6383, 676, 562, 2609, 269, 1403, 519, 10155, 1281, 12772, 607, 1454, 607, 2009, 267, 1775, 4318, 269, 3897, 681, 1315, 594, 815, 3897, 681, 910, 562, 267, 519, 681, 1315, 594, 568, 1572, 513, 2347, 10167, 563, 288, 2199, 8258, 681, 267, 1775, 4318, 269, 835, 609, 1152, 835, 31062, 4998, 544, 267, 568, 1572, 2834, 267, 952, 519, 630, 298, 337, 1638, 264, 10155, 540, 681, 11224, 519, 10155, 630, 553, 513, 6152, 2230, 936, 519, 2361, 681, 1315, 544, 264, 540, 519, 28422, 836, 550, 2230, 544, 1315, 544, 273, 563, 17746, 1192, 532, 862, 32477, 14034, 454, 2467, 616, 1896, 2081, 547, 4020, 1007, 14034, 856, 540, 2016, 3283, 269, 634, 2832, 540, 971, 25481, 568, 1419, 547, 2087, 1978, 3601, 540, 519, 8258, 865, 607, 547, 1118, 621, 811, 11593, 24669, 269, 1280, 1383, 267, 606, 7533, 6389, 602, 568, 5043, 958, 6806, 538, 922, 2361, 540, 8454, 568, 1572, 3339, 269, 901, 568, 513, 14909, 3959, 267, 585, 1383, 1022, 3339, 835, 8820, 8258, 568, 8209, 2834, 269, 681, 754, 1359, 513, 8258, 3339, 568, 1634, 607, 3339, 1436, 563, 2252, 594, 568, 606, 4998, 538, 513, 862, 32477, 8258, 681, 267, 519, 7060, 540, 594, 1106, 30490, 16973, 540, 476, 271, 799, 1450, 681, 547, 581, 9763, 607, 513, 30490, 8258, 269, 901, 23289, 568, 1572, 519, 594, 14194, 545, 23289, 269, 681, 666, 1287, 581, 6192, 609, 2463, 547, 713, 23289, 269, 4813, 958 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5804, 513, 2489, 5758, 547, 3184, 24096, 547, 3137, 540, 4583, 10530, 267, 519, 8141, 17084, 28561, 8781, 1353, 3391, 814, 3388, 596, 991, 547, 513, 576, 17118, 267, 4255, 269, 634, 28561, 8781, 676, 13275, 3655, 592, 30742, 519, 28561, 8781, 676, 13275, 3655, 592, 30742, 13275, 3655, 592, 330, 2996, 28561, 8781, 21138, 693, 2547, 1614, 13220, 547, 519, 1650, 269, 5261, 2759, 327, 6975, 3655, 592, 30742, 729, 4535, 538, 1007, 11549, 1415, 519, 28561, 8781, 13275, 3655, 592, 30742, 2852, 4574, 543, 2203, 3594, 321, 7568, 8781, 568, 513, 2110, 1650, 676, 519, 269, 18004, 538, 28561, 1557, 1655, 2835, 585, 1557, 1603, 524, 1087, 2298, 8486, 339, 2123, 1557, 13803, 18829, 17440, 1007, 26294, 562, 344, 17440, 524, 1328, 795, 28427, 10388, 1557, 593, 563, 10403, 28561, 8781, 4574, 267, 3594, 267, 543, 1382, 4574, 269, 10261, 1557, 3732, 593, 2079, 540, 519, 28642, 7772, 576, 779, 2048, 541, 17879, 685, 543, 13275, 3655, 592, 30742, 779, 2048, 321, 7568, 8781, 685, 649, 786, 2328, 513, 2688, 1557, 3732, 4481, 269, 6145, 12373, 332, 839, 543, 519, 28561, 1557, 1930, 3561, 2630, 568, 606, 1557, 593, 899, 12373, 332, 839, 543, 519, 28561, 689, 941, 4535, 538, 6917, 12804, 3122, 609, 646, 2033, 344, 4535, 538, 563, 13625, 268, 5985, 16450, 666, 3274, 581, 3989, 607, 519, 2702, 1557, 28561, 2688, 2348, 1044, 4535, 538, 476, 1960, 278, 538, 515, 3149, 1074, 328, 267, 21129, 1633, 1492, 2029, 3262, 269, 2598, 25068, 281, 713, 1557, 814, 1044, 11643, 676, 513, 2875, 713, 568, 711, 606, 1383, 540, 519, 960, 2854, 676, 938, 3318, 1557, 5830, 17626, 6146, 619, 4535, 269, 634, 2923, 543, 6214, 1557, 5098, 6898, 585, 5339, 2079, 3594, 737, 17671, 1557, 6338, 8885, 711, 547, 2909, 326, 855, 30610, 1250, 3932, 585, 1250, 7005, 1557, 568, 865, 269, 4446, 333, 8781, 1557, 1557, 1603, 4305, 476, 272, 2489, 3096, 12031, 4214, 679, 21473, 8619, 529, 2587, 5055, 529, 16481, 6905, 1557, 3391, 1686, 4938, 629, 4535, 547, 2196, 2565, 1557, 269, 700, 5819, 1399, 547, 1920, 538, 28561, 8781, 676, 13275, 3655, 592, 30742, 1557, 1557, 593, 28561, 8781, 4413, 900, 1176, 729, 4535, 883, 513, 1920, 563, 305, 12505, 1515, 2883, 2079, 1382, 1957, 593, 28561, 8781, 676, 13275, 3655, 592, 30742, 1775, 1223, 1863, 1382, 1957, 593, 28561, 1863, 4574, 543, 3594, 593, 28561, 269, 19837, 10488, 8878, 596, 32353, 544, 335, 274, 2110, 1557, 827, 29534, 1426, 476, 868, 3153, 1557, 593, 16377, 1318, 610, 4636, 3014, 28561, 538, 1557, 4535, 12031, 1184, 3268, 7824, 269, 589, 9782, 585, 900, 1176, 543, 28561, 8781, 6476, 3594, 281, 900, 1176, 17680, 3205, 568, 4535, 547, 513, 14547, 1920, 267, 5219, 547, 607, 519, 1164, 543, 22800, 575, 13205, 976, 630, 2004, 269, 4446, 333, 8781, 3594, 28561, 8781, 568, 513, 2239, 827, 1973, 13218, 267, 855, 811, 3226, 3655, 592, 30742, 267, 4535, 538, 476, 6245, 278, 267, 538, 1007, 11549, 1415, 269, 4828, 593, 5533, 609, 2010, 1557, 7291, 10959, 23407, 561, 3554, 281, 562, 4912, 476, 273, 267, 476, 1001, 278, 596, 917, 950, 596, 4312, 2854, 606, 1557, 602, 568, 476, 1911, 260, 513, 4452, 540, 536, 3326, 4169, 855, 1031, 513, 1906, 563, 32487, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 28561, 8781, 5098, 269, 968, 321, 7568, 8781, 892, 3217, 1747, 1310, 519, 3540, 2112, 538, 519, 3735, 13524, 2540, 950, 705, 1676, 3587, 14220, 267, 2864, 982, 10478, 585, 513, 10257, 2626, 585, 269, 901, 1557, 13275, 3655, 592, 30742, 543, 824, 476, 7830, 267, 1822, 266, 2165, 4574, 13275, 3655, 592, 30742, 729, 4535, 593, 694, 4697, 476, 1839, 1292, 1915, 538, 28561, 8781, 676, 13275, 3655, 592, 30742, 563, 24145, 1155, 281, 13275, 3655, 592, 30742, 2165, 4574, 267, 3594, 267, 1382, 4574, 593, 3332, 281, 13275, 3655, 592, 30742, 1863, 3332, 281, 13275, 3655, 592, 30742, 2852, 4574, 543, 2203, 3594, 269, 4446, 333, 8781, 5758, 676, 13275, 3655, 592, 30742, 968, 321, 7568, 8781, 892, 568, 513, 1650, 2854, 676, 28561, 8781, 13275, 3655, 592, 30742, 1557, 729, 606, 7819, 29787, 945, 729, 4535, 269, 16520, 2079, 540, 968, 321, 7568, 8781, 892, 782, 3594, 616, 2854, 689, 15072, 676, 3318, 5830, 2687, 547, 707, 900, 1176, 17680, 3205, 568, 4535, 547, 513, 14547, 269, 12429, 543, 5067, 6249, 538, 3655, 592, 30742, 779, 28561, 8781, 1557, 521, 691, 528, 529, 2879, 8554, 568, 513, 1762, 7911, 4535, 547, 513, 4651, 543, 5067, 6249, 538, 3655, 592, 30742, 779, 28561, 269, 645, 335, 7795, 737, 528, 24882, 737, 14979, 577, 331, 7192, 328, 2328, 533, 573, 6265, 1557, 694, 325, 561, 565, 561, 565, 1483, 2911, 1775, 1175, 1185, 513, 5326, 602, 1775, 546, 27547, 538, 3594, 1775, 723, 1631, 2938, 875, 621, 782, 7475, 543, 1250, 5601, 621, 521, 30299, 269, 0, 1607, 7206, 568, 519, 19746, 540, 1293, 610, 326, 1794, 676, 1714, 6067, 1723, 519, 2520, 2131, 1010, 1483, 2012, 546, 1580, 1731, 657, 519, 582, 665, 641, 9567, 657, 621, 13793, 338, 593, 519, 3774, 538, 519, 22514, 756, 2544, 540, 519, 5939, 540, 521, 27053, 547, 1889, 538, 547, 1194, 334, 267, 838, 664, 543, 729, 13556, 538, 476, 15647, 277, 269, 5700, 827, 519, 1568, 540, 1714, 6067, 1723, 676, 4974, 1010, 476, 1015, 1034, 4583, 10367, 1519, 2070, 540, 547, 1194, 334, 267, 3288, 27494, 7238, 333, 267, 11359, 13021, 543, 519, 19746, 540, 519, 1293, 540, 610, 326, 1794, 16912, 539, 1582, 17855, 540, 1714, 6067, 1723, 1948, 1015, 519, 13411, 959, 6541, 563, 763, 19746, 540, 519, 1293, 540, 610, 326, 1794, 676, 1714, 6067, 1723, 729, 513, 14831, 3585, 1804, 7206, 267, 543, 621, 568, 5258, 883, 1079, 6810, 1107, 519, 13140, 543, 3618, 2705, 267, 972, 568, 2370, 12705, 540, 519, 546, 7081, 540, 7653, 1317, 519, 5580, 543, 2539, 6810, 616, 5888, 958, 4547, 1927, 269, 769, 1840, 547, 32161, 1944, 521, 27053, 547, 1889, 781, 17308, 543, 1896, 7986, 2367, 540, 547, 1194, 334, 267, 1714, 6067, 1723, 849, 28165, 1010, 1378, 5067, 538, 519, 19746, 540, 519, 1293, 540, 610, 326, 1794, 519, 1762, 7911, 3168, 2047, 693, 13588, 689, 519, 5377, 2451, 1688, 7944, 540, 519, 7206, 568, 795, 5282, 812, 3241, 267, 1714, 6067, 1723, 781, 11537, 24648, 527, 1493, 5067, 269, 634, 19746, 540, 519, 1293, 540, 610, 326, 1794, 17956, 1714, 6067, 1723, 781, 1747, 538, 1686, 1312, 519, 7274, 543, 2298, 540, 519, 4062, 781, 30162, 540, 1480, 5396, 723, 6537, 986, 1407, 689, 1148, 13915, 543, 12206, 585, 563, 19530, 19746, 540, 1293, 610, 326, 1794, 676, 1714, 6067, 1723, 281, 7206, 2079, 4976, 476, 272, 799, 540, 519, 1739, 568, 711, 8984, 540, 519, 19746, 540, 519, 1293, 540, 610, 326, 1794, 267, 543, 540, 1714, 6067, 1723, 781, 960, 3622, 269, 1677, 1265, 856, 811, 540, 713, 7206, 267, 2689, 519, 18913, 3992, 1572, 519, 19746, 540, 1293, 610, 326, 1794, 676, 1714, 6067, 1723, 281, 7206, 2079, 713, 3992, 7710, 519, 1739, 3853, 281, 713, 3992, 7710, 269, 634, 19746, 540, 1293, 610, 326, 1794, 267, 689, 513, 10828, 540, 1469, 540, 513, 1762, 2985, 267, 588, 1696, 1329, 928, 267, 519, 1293, 543, 588, 27362, 710, 267, 630, 11798, 593, 17198, 264, 630, 30956, 841, 540, 5386, 1148, 1820, 676, 1714, 6067, 1723, 19746, 1293, 610, 326, 1794, 267, 676, 1714, 6067, 1723, 621, 781, 1010, 20100, 267, 13556, 538, 621, 781, 5116, 538, 521, 27053, 547, 1889, 5939, 269, 4432, 6067, 1723, 781, 28608, 5515, 267, 4744, 517, 656, 946, 540, 1769, 267, 13085, 4778, 267, 5841, 640, 267, 543, 3668, 540, 3178, 538, 519, 19746, 540, 519, 1293, 540, 610, 326, 1794, 616, 30883, 24207, 2609, 540, 519, 6073, 626, 2511, 6073, 1143, 729, 513, 1974, 540, 24067, 1148, 1686, 602, 4553, 2673, 593, 519, 31623, 540, 519, 25174, 563, 763, 19746, 540, 519, 1293, 540, 610, 326, 1794, 630, 338, 20725, 281, 1714, 1303, 1512, 549, 1642, 598, 1372, 632, 610, 326, 1794, 264, 568, 513, 7206, 676, 1714, 6067, 1723, 267, 513, 7986, 25174, 18048, 267, 9380, 528, 267, 543, 4056, 540, 19967, 5169, 4922, 2808, 1851, 1010, 20923, 1568, 267, 621, 14550, 513, 2442, 2199, 10828, 540, 1010, 942, 269, 634, 19746, 540, 519, 1293, 540, 610, 326, 1794, 729, 2663, 1121, 870, 539, 607, 13915, 2699, 4593, 2642, 543, 28448, 26916, 1714, 6067, 1723, 781, 1983, 543, 2511, 2221, 267, 621, 568, 711, 1152, 606, 28601, 4062, 540, 1148, 267, 855, 621, 779, 2899, 1586, 513, 2442, 15805, 16007, 476, 1724, 519, 19746, 540, 519, 1293, 540, 610, 326, 1794, 17956, 1714, 6067, 1723, 781, 1747, 538, 1686, 563, 293, 1168, 25704, 616, 607, 16529, 607, 1714, 6067, 1723, 781, 519, 19746, 540, 519, 1293, 540, 610, 326, 1794, 267, 865, 621, 781, 711, 9670, 519, 3282, 7206, 568, 2808, 835, 540, 1010, 6574, 1568, 855, 972, 616, 26208, 547, 581, 269, 901, 1650, 4797, 547, 581, 2442, 538, 519, 2749, 540, 547, 1194, 334, 267, 7674, 607, 519, 2707, 540, 6667, 585, 835, 540, 519, 2749, 779, 1034, 4583, 10367, 281, 1714, 6067, 1723, 779, 519, 19746, 540, 519, 1293, 540, 610, 326, 1794, 519, 7206, 729, 1500, 585, 519, 19746, 32724, 540, 519, 1293, 540, 610, 326, 1794, 693, 521, 27053, 9723, 2946, 1063, 476, 15647, 277, 543, 476, 15647, 279, 563, 14976, 6067, 1723, 267, 19746, 540, 519, 1293, 540, 610, 326, 1794, 267, 476, 15647, 277, 1700, 6434, 267, 3282, 593, 17198, 267, 476, 21878, 1535, 476, 11740, 4699, 630, 338, 27053, 9723, 2946, 267, 547, 1194, 334, 267, 838, 664, 264, 513, 27803, 693, 513, 19746, 1810, 16891, 345, 14900, 8297, 6403, 345, 267, 945, 5747, 538, 476, 15171, 274, 630, 663, 729, 2663, 1634, 676, 519, 2140, 267, 1293, 540, 610, 326, 1794, 1070, 568, 711, 2693, 2576, 596, 917, 269, 634, 19746, 540, 519, 1293, 540, 610, 326, 1794, 7376, 1714, 6067, 1723, 1032, 476, 15647, 277, 5420, 3282, 593, 17198, 4087, 521, 27053, 9723, 2946, 267, 547, 1194, 334, 267, 838, 664, 7516, 476, 5197, 538, 6398, 476, 9610, 538, 476, 29121, 4699, 6398, 476, 11740, 4699, 4583, 10367, 676, 1714, 6067, 1723, 519, 771, 549, 6883, 540, 13171, 267, 476, 14991, 278, 1700, 14991, 280, 6679, 540, 519, 11359, 13021, 267, 476, 8182, 279, 268, 14065, 275, 18959, 819, 540, 519, 20424, 267, 476, 14444, 276, 268, 14444, 277, 519, 19746, 563, 1607, 3992, 3217, 513, 6251, 1413, 693, 519, 19746, 540, 519, 1293, 540, 610, 326, 1794, 267, 13556, 1063, 476, 15647, 277, 543, 476, 15647, 279, 267, 676, 1714, 6067, 1723, 267, 513, 18048, 609, 513, 2189, 2511, 945, 5249, 538, 547, 1194, 334, 267, 838, 664, 2808, 1714, 6067, 1723, 781, 20100, 267, 519, 7206, 9356, 519, 7920, 3909, 5790, 540, 519, 23882, 4831, 3146, 4146, 563, 8448, 1568, 676, 1714, 6067, 1723, 281, 519, 18959, 819, 540, 519, 20424, 267, 840, 268, 14444, 278, 281, 1082, 13915, 8044, 602, 519, 19746, 540, 519, 1293, 540, 610, 326, 1794, 814, 1896, 2934, 9244, 24188, 540, 606, 4505, 960, 676, 1714, 6067, 1723, 267, 11331, 519, 18959, 819, 540, 519, 20424, 13915, 538, 713, 3786, 8044, 602, 713, 4276, 8761, 875, 676, 345, 14932, 7506, 941, 8142, 998, 1714, 6067, 1723, 781, 3003, 4876, 269, 0, 2304, 2079, 540, 533, 32631, 17552, 817, 657, 7206, 1368, 1716, 3821, 454, 2171, 9429, 4807, 676, 533, 32631, 17552, 27591, 10367, 2079, 540, 649, 9429, 10344, 25643, 519, 20422, 5933, 540, 1368, 1716, 3821, 607, 17552, 27591, 13556, 621, 269, 623, 32631, 17552, 27591, 630, 6642, 272, 1700, 3192, 274, 264, 1368, 1716, 3821, 630, 4350, 278, 264, 13994, 6819, 875, 606, 7493, 7206, 1223, 3640, 865, 1454, 6612, 1368, 1716, 3821, 1281, 711, 2099, 519, 2680, 602, 269, 20266, 27591, 781, 1368, 1716, 3821, 281, 4214, 267, 13513, 1299, 2079, 533, 32631, 17552, 27591, 781, 22657, 540, 838, 664, 729, 2377, 549, 6150, 538, 513, 544, 1116, 538, 2413, 1368, 1716, 3821, 18995, 519, 7206, 269, 2871, 1716, 3821, 533, 32631, 17552, 27591, 17552, 27591, 781, 1034, 4583, 7206, 568, 1368, 1716, 3821, 16148, 7406, 2079, 5304, 1148, 5830, 8369, 476, 272, 2796, 540, 960, 910, 2140, 269, 1548, 568, 519, 2495, 540, 1368, 1716, 3821, 267, 519, 476, 4350, 278, 544, 1116, 676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 3084, 12139, 563, 288, 9782, 585, 900, 1176, 568, 1250, 1101, 1995, 609, 3655, 592, 30742, 267, 543, 621, 729, 3833, 513, 4098, 713, 2110, 1650, 568, 4158, 569, 11626, 538, 922, 10855, 18340, 540, 519, 7452, 344, 267, 1159, 11481, 543, 9178, 532, 2025, 544, 6416, 538, 799, 900, 1176, 2729, 538, 694, 2424, 267, 543, 1164, 593, 519, 476, 1157, 3815, 676, 519, 26648, 3932, 269, 2290, 3236, 540, 13513, 538, 513, 9782, 585, 900, 1176, 568, 538, 519, 2140, 3294, 519, 9782, 568, 1034, 1419, 2219, 540, 607, 513, 3090, 585, 2648, 538, 799, 2013, 4630, 518, 568, 519, 9782, 610, 2648, 585, 900, 1176, 269, 589, 9782, 585, 900, 1176, 10741, 538, 519, 14206, 2540, 593, 519, 1554, 4413, 900, 1176, 17680, 3205, 781, 24133, 267, 4371, 538, 519, 2899, 6264, 267, 1631, 9178, 532, 17680, 3205, 1920, 2777, 1082, 10034, 15161, 941, 538, 20343, 267, 711, 1152, 547, 2628, 741, 24947, 855, 849, 856, 540, 7279, 267, 585, 1100, 835, 1185, 2938, 519, 9703, 540, 519, 269, 589, 9782, 585, 900, 1176, 568, 513, 2110, 1650, 676, 13275, 3655, 592, 30742, 602, 729, 1101, 3370, 538, 476, 4350, 271, 269, 0, 1103, 341, 9876, 618, 4214, 281, 707, 9525, 538, 1945, 568, 519, 1249, 602, 596, 616, 2921, 851, 538, 621, 1923, 2495, 267, 12332, 267, 16627, 543, 1806, 269, 476, 21076, 4214, 540, 15366, 9525, 15366, 9525, 568, 5156, 547, 581, 606, 1271, 4640, 538, 519, 13120, 540, 519, 2298, 540, 2069, 15366, 9525, 607, 971, 949, 581, 3989, 538, 1114, 2081, 269, 9502, 540, 9525, 538, 519, 8301, 1263, 1501, 3073, 8675, 2495, 540, 9525, 1018, 1281, 9525, 1611, 1697, 6165, 543, 12332, 630, 514, 13093, 2045, 16606, 264, 540, 519, 2262, 9525, 563, 1103, 341, 9876, 618, 568, 519, 957, 540, 10283, 538, 1945, 1256, 952, 596, 798, 4986, 855, 5397, 519, 1205, 12537, 1286, 267, 596, 786, 581, 4371, 547, 2272, 585, 707, 9525, 538, 513, 6760, 269, 12833, 9876, 618, 910, 2262, 10915, 2397, 7005, 8675, 267, 2055, 267, 4901, 543, 15473, 782, 1863, 269, 6828, 7589, 910, 7589, 676, 782, 2818, 540, 513, 1895, 1875, 268, 1263, 1771, 2073, 1875, 2987, 341, 9876, 618, 2073, 1875, 4820, 4602, 566, 910, 11198, 532, 689, 519, 2238, 540, 513, 1895, 476, 273, 269, 9502, 540, 9525, 10902, 538, 3404, 5112, 4359, 15226, 781, 8675, 2495, 267, 12332, 267, 4605, 267, 1383, 5220, 267, 8239, 267, 6165, 4967, 267, 19655, 543, 811, 563, 5804, 713, 4214, 267, 7589, 666, 1331, 11347, 7589, 267, 1463, 2792, 267, 543, 16057, 1966, 6061, 649, 786, 1445, 593, 519, 8545, 1079, 6688, 1317, 713, 2376, 568, 811, 827, 1620, 269, 12833, 9876, 618, 10522, 1082, 540, 519, 7907, 540, 606, 5872, 602, 649, 1331, 538, 938, 4214, 540, 6278, 519, 1966, 609, 968, 28717, 9876, 618, 892, 568, 602, 621, 568, 849, 1031, 547, 4766, 513, 3099, 540, 835, 17574, 2792, 3157, 899, 12220, 267, 3377, 24393, 543, 968, 339, 22736, 2212, 892, 9623, 7886, 269, 30880, 4214, 267, 606, 957, 610, 3236, 540, 10283, 1294, 811, 269, 14523, 11618, 630, 26421, 540, 519, 1739, 568, 513, 2186, 540, 1875, 2987, 341, 9876, 618, 2567, 10072, 630, 320, 2197, 781, 15639, 689, 3486, 6214, 264, 29591, 630, 12061, 4820, 4602, 566, 538, 513, 15539, 610, 2112, 1040, 9502, 540, 9525, 910, 519, 1249, 610, 2783, 540, 1373, 3238, 609, 610, 10283, 538, 1945, 563, 268, 4214, 1299, 4336, 538, 713, 3992, 267, 649, 786, 3382, 519, 2495, 540, 2816, 9525, 543, 875, 3549, 3313, 9441, 9547, 1449, 707, 1702, 693, 519, 1439, 676, 2921, 513, 2110, 7688, 269, 2755, 1857, 9525, 814, 711, 2943, 1044, 3769, 1851, 519, 2838, 3800, 267, 799, 27057, 1445, 593, 3106, 267, 1062, 2783, 267, 543, 20316, 267, 8041, 786, 4324, 689, 2312, 5583, 547, 1217, 519, 1655, 14305, 540, 2200, 585, 1857, 9525, 269, 9502, 281, 9525, 610, 9441, 9525, 666, 581, 3989, 607, 2870, 606, 1604, 538, 799, 606, 9441, 2535, 919, 811, 538, 519, 1554, 3562, 6377, 3375, 6194, 1547, 9502, 540, 9525, 538, 519, 8847, 6339, 8675, 2495, 540, 9525, 1018, 1281, 9525, 1611, 1344, 543, 16627, 540, 9525, 538, 519, 1034, 3102, 8675, 8847, 4199, 593, 519, 1357, 563, 10890, 1299, 8516, 2146, 9525, 1018, 1281, 602, 2731, 1611, 1018, 1281, 2146, 9525, 1611, 547, 596, 1451, 875, 596, 666, 6443, 2516, 2324, 547, 2061, 7141, 6219, 6057, 610, 1547, 5426, 540, 9525, 568, 519, 4110, 540, 1344, 4393, 543, 519, 2179, 540, 2956, 513, 7082, 1140, 2851, 547, 513, 1587, 1247, 11449, 621, 538, 824, 1913, 267, 621, 2982, 875, 3238, 519, 6075, 568, 2509, 513, 1587, 13948, 267, 13998, 543, 17215, 269, 12833, 9876, 618, 4214, 281, 476, 272, 519, 957, 610, 1184, 540, 2921, 851, 538, 1945, 281, 476, 273, 513, 11509, 610, 4638, 2078, 281, 476, 274, 519, 1533, 540, 1373, 3769, 538, 606, 2534, 281, 4586, 20181, 9525, 281, 891, 1826, 540, 3664, 616, 2808, 3110, 3770, 3664, 543, 616, 2472, 610, 2533, 602, 513, 1268, 1207, 903, 593, 513, 2834, 4493, 543, 1281, 711, 723, 547, 798, 1022, 1382, 593, 585, 1383, 1547, 12833, 9876, 618, 1404, 1422, 538, 268, 16659, 341, 7564, 331, 341, 2173, 16745, 660, 16427, 16659, 341, 388, 363, 331, 341, 10559, 10902, 4214, 540, 4125, 585, 7005, 1893, 6267, 281, 547, 723, 610, 1331, 630, 16341, 821, 610, 1945, 264, 607, 513, 851, 540, 1547, 12833, 9876, 618, 4214, 568, 910, 519, 957, 610, 606, 3236, 540, 5473, 2576, 610, 1945, 2433, 519, 1533, 267, 957, 267, 610, 1249, 540, 1373, 3238, 875, 547, 946, 9525, 538, 513, 4845, 519, 957, 610, 606, 3236, 540, 5473, 2576, 610, 1945, 2433, 519, 1533, 267, 957, 267, 610, 1249, 540, 1373, 3238, 563, 21122, 531, 9525, 4016, 547, 519, 2179, 540, 7589, 513, 2385, 814, 950, 621, 2501, 547, 18375, 543, 1200, 1126, 781, 1272, 930, 3506, 6536, 2635, 15366, 9525, 998, 2621, 543, 15321, 3255, 267, 855, 3006, 621, 781, 909, 547, 519, 3237, 547, 4125, 2933, 609, 741, 1453, 781, 2069, 269, 30880, 538, 1272, 2238, 267, 4247, 267, 543, 5107, 568, 606, 2460, 540, 2713, 602, 568, 2808, 1271, 1369, 519, 5943, 540, 519, 1158, 1072, 3919, 781, 3486, 8760, 540, 8647, 267, 9659, 267, 543, 1072, 630, 545, 325, 1040, 9502, 540, 2816, 9525, 281, 519, 4110, 547, 799, 606, 9441, 568, 7722, 538, 543, 25981, 827, 7900, 741, 960, 1870, 9946, 616, 3335, 1134, 3222, 1547, 0, 24082, 19766, 308, 16249, 267, 634, 3084, 2923, 5359, 547, 721, 811, 543, 811, 5781, 2665, 540, 6880, 6285, 593, 1804, 14078, 269, 1284, 849, 7747, 713, 7613, 1851, 2043, 543, 1507, 4213, 602, 649, 2743, 269, 5990, 8863, 17920, 2894, 294, 2464, 5508, 19766, 7473, 2207, 22444, 7838, 14510, 454, 24426, 828, 9798, 568, 4742, 811, 1950, 547, 1174, 543, 4061, 13514, 513, 1483, 1966, 585, 606, 590, 10933, 1315, 590, 10933, 602, 666, 20834, 1125, 1906, 4835, 2200, 547, 2149, 922, 8668, 269, 634, 1111, 610, 9552, 540, 1239, 267, 24677, 540, 3028, 267, 2883, 1085, 4461, 267, 4853, 17611, 32025, 2560, 865, 1082, 6285, 602, 3549, 616, 5051, 9601, 543, 4171, 4539, 666, 581, 10565, 269, 898, 568, 4061, 1898, 547, 2936, 606, 8668, 3354, 3609, 1510, 1651, 584, 2590, 5458, 9541, 563, 2839, 299, 12114, 23083, 476, 279, 3652, 540, 1434, 2259, 547, 3970, 519, 4220, 547, 707, 2754, 543, 3091, 596, 519, 7872, 540, 8876, 856, 513, 2347, 20894, 593, 707, 2780, 3354, 912, 272, 269, 654, 305, 25492, 589, 19766, 7473, 2207, 22444, 7838, 14510, 623, 5357, 2975, 312, 6730, 589, 19766, 7473, 2207, 8863, 2752, 9898, 454, 763, 1101, 3364, 547, 798, 568, 547, 2322, 593, 1957, 519, 15943, 540, 707, 1344, 1062, 547, 2149, 269, 898, 568, 1898, 547, 3313, 799, 616, 519, 1034, 6213, 543, 1271, 3156, 585, 519, 15364, 540, 707, 1870, 538, 1931, 547, 7654, 3970, 519, 15943, 540, 519, 1239, 547, 581, 17956, 563, 763, 26004, 540, 606, 8668, 22497, 6087, 519, 6388, 540, 1569, 5464, 6127, 543, 2306, 707, 3060, 3755, 3222, 540, 8668, 1655, 2853, 538, 519, 9036, 676, 1818, 3755, 3222, 540, 741, 946, 540, 1344, 2029, 269, 2645, 2139, 547, 873, 607, 1134, 607, 519, 4687, 540, 1022, 6213, 1239, 593, 1514, 5121, 585, 1383, 563, 273, 269, 28132, 4629, 299, 5508, 5990, 19766, 3198, 312, 24912, 29206, 25892, 589, 6717, 8577, 454, 10376, 2754, 779, 5769, 1569, 1448, 267, 2436, 693, 22071, 610, 693, 1142, 6552, 3135, 267, 568, 5732, 513, 8574, 602, 513, 11360, 518, 786, 946, 547, 1569, 519, 2754, 779, 2780, 1062, 269, 769, 519, 2013, 540, 513, 3818, 21935, 3060, 267, 547, 14458, 2949, 8668, 3354, 267, 621, 568, 19624, 547, 3970, 519, 1297, 607, 1454, 607, 2009, 267, 12797, 532, 513, 5691, 4357, 5150, 3060, 630, 309, 14149, 264, 1935, 609, 513, 2582, 5150, 5769, 1569, 693, 519, 2295, 540, 519, 3060, 563, 11795, 2159, 2221, 547, 10238, 527, 5520, 689, 17774, 532, 519, 5680, 267, 2705, 267, 7687, 666, 581, 6913, 609, 31216, 3435, 269, 901, 2306, 621, 2009, 547, 1685, 606, 28456, 19003, 593, 519, 9115, 22121, 609, 519, 5769, 543, 547, 3625, 519, 9115, 610, 30940, 13763, 676, 1373, 1759, 593, 8638, 5781, 8242, 563, 26765, 958, 267, 621, 568, 519, 16108, 779, 10279, 547, 6882, 856, 4609, 1644, 547, 28892, 3156, 267, 27300, 10363, 4647, 6402, 610, 27127, 4919, 4609, 563, 274, 269, 28132, 4629, 299, 654, 296, 6363, 296, 589, 6717, 8577, 454, 310, 328, 19712, 23525, 267, 3006, 796, 5913, 3293, 267, 18611, 538, 519, 22402, 540, 519, 2754, 1058, 581, 5116, 896, 13178, 269, 10705, 891, 23525, 1450, 1463, 1569, 547, 707, 3060, 563, 27039, 593, 519, 3914, 540, 519, 12363, 267, 519, 796, 31695, 7127, 1448, 949, 1256, 581, 3015, 689, 3544, 519, 22402, 269, 2552, 13764, 891, 1569, 1590, 581, 851, 540, 519, 2754, 779, 8668, 3354, 3609, 563, 2839, 299, 12114, 3091, 513, 21438, 2359, 3070, 585, 707, 654, 604, 328, 23525, 269, 4256, 1379, 666, 581, 14661, 543, 1852, 543, 19883, 540, 1569, 786, 3648, 2569, 519, 1981, 540, 533, 16820, 563, 1103, 519, 2680, 540, 513, 5821, 540, 519, 1344, 1062, 630, 3041, 1070, 519, 7872, 540, 19620, 1239, 28933, 519, 2534, 540, 519, 590, 10933, 269, 901, 2702, 547, 11177, 1870, 1239, 630, 517, 1312, 13763, 543, 960, 560, 725, 264, 568, 519, 1034, 2500, 4027, 1996, 26030, 2264, 18453, 269, 634, 2754, 666, 267, 538, 1249, 267, 3136, 922, 2534, 676, 23232, 519, 1239, 6740, 543, 8242, 5781, 269, 898, 786, 1287, 581, 2556, 585, 891, 1394, 5725, 547, 581, 6740, 3544, 519, 2754, 865, 607, 711, 547, 581, 24290, 538, 519, 2680, 540, 606, 4323, 538, 519, 1482, 1259, 607, 519, 3593, 6054, 563, 1432, 1915, 3278, 6880, 13062, 830, 568, 922, 8628, 4720, 269, 11569, 267, 21190, 616, 2407, 540, 9345, 547, 1265, 1007, 4323, 2553, 269, 4595, 3354, 16426, 616, 3622, 22621, 538, 1907, 10311, 630, 13933, 31486, 543, 28456, 1070, 621, 568, 1898, 547, 2226, 782, 2780, 19698, 630, 1952, 997, 725, 267, 5665, 1949, 267, 3092, 4700, 1256, 952, 713, 5106, 666, 3006, 2408, 942, 21791, 563, 276, 269, 654, 2969, 6224, 744, 7473, 11123, 623, 8991, 2177, 3201, 14160, 5495, 291, 6673, 4916, 454, 1607, 568, 606, 5051, 1455, 7180, 1996, 799, 3549, 1590, 4339, 269, 1703, 568, 513, 1483, 3354, 1966, 585, 5520, 547, 946, 11884, 2139, 4859, 3435, 593, 519, 5680, 269, 14992, 723, 1100, 1852, 936, 519, 6119, 602, 519, 9441, 6119, 972, 267, 1100, 1259, 547, 917, 952, 646, 1281, 711, 1747, 713, 1344, 538, 1857, 1569, 269, 10705, 891, 5867, 616, 18799, 538, 519, 2136, 2276, 267, 799, 13514, 513, 1761, 3656, 1981, 952, 621, 568, 2123, 1239, 269, 4475, 267, 2027, 3007, 1058, 581, 6976, 547, 519, 3354, 540, 3156, 563, 32715, 4315, 5051, 4043, 547, 3984, 741, 1870, 1239, 538, 519, 1857, 6531, 269, 634, 2754, 1344, 1287, 6933, 919, 593, 13763, 4171, 4087, 568, 7164, 269, 634, 2754, 814, 1100, 10018, 602, 519, 22637, 540, 922, 1239, 786, 581, 15197, 269, 31740, 267, 945, 1419, 946, 891, 22581, 585, 2123, 5301, 267, 1590, 581, 1500, 3222, 540, 519, 4220, 30309, 676, 519, 2754, 3842, 519, 8668, 22497, 563, 2839, 299, 12114, 3091, 513, 3758, 4687, 3070, 267, 18799, 538, 5333, 267, 621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6052, 21252, 4303, 14626, 3660, 609, 6052, 10060, 4303, 267, 513, 1982, 676, 519, 772, 2529, 269, 16501, 547, 3895, 1648, 18026, 2472, 543, 2853, 269, 1703, 941, 1585, 28774, 593, 6052, 10060, 2275, 1068, 1881, 14233, 543, 2472, 563, 2026, 649, 1847, 883, 5239, 267, 519, 1648, 4656, 3923, 267, 596, 2461, 711, 1175, 16287, 513, 4266, 593, 707, 11706, 269, 1411, 2461, 11836, 513, 3084, 3350, 547, 1118, 938, 1158, 811, 1648, 5498, 10810, 563, 3963, 31478, 6052, 2422, 25198, 888, 21328, 21252, 4303, 568, 1454, 811, 982, 1175, 513, 1745, 3766, 797, 11036, 269, 898, 568, 513, 4052, 1900, 585, 2043, 543, 4213, 3168, 547, 4688, 593, 5201, 12014, 543, 3565, 547, 513, 8902, 4541, 563, 24591, 593, 24542, 645, 1571, 454, 3080, 540, 519, 1034, 7525, 2640, 540, 5355, 707, 1648, 4398, 568, 519, 1713, 9806, 593, 707, 5201, 12014, 269, 4635, 1648, 18026, 14233, 267, 8654, 267, 543, 2853, 666, 2569, 707, 1648, 4616, 543, 2539, 707, 10865, 10626, 3915, 563, 6944, 25572, 547, 20885, 454, 2691, 596, 1118, 1648, 18026, 5079, 267, 596, 2461, 711, 1175, 30364, 3054, 269, 1411, 2461, 849, 4730, 513, 2629, 1909, 538, 25137, 1648, 593, 513, 3677, 4336, 563, 24965, 1027, 1648, 4616, 1797, 7864, 8511, 3154, 5434, 267, 799, 538, 2490, 2337, 2569, 8511, 5434, 543, 8396, 2916, 1689, 269, 898, 779, 513, 3094, 2914, 514, 585, 1312, 707, 9276, 543, 519, 3047, 563, 25821, 640, 26162, 543, 2659, 9546, 2280, 454, 3086, 267, 1577, 779, 1921, 519, 15956, 547, 24542, 305, 919, 2593, 269, 6052, 21252, 4303, 20383, 9985, 609, 938, 5692, 547, 1683, 596, 609, 519, 1655, 2081, 547, 4688, 593, 707, 3167, 3915, 563, 4517, 950, 596, 798, 991, 5201, 267, 596, 666, 1265, 519, 1655, 5201, 3928, 543, 1379, 7426, 538, 938, 2653, 3562, 14025, 19458, 563, 21093, 12833, 9407, 16511, 958, 543, 13780, 958, 454, 21328, 21252, 4303, 568, 711, 1175, 827, 4656, 269, 898, 779, 827, 2921, 2962, 269, 6787, 596, 1616, 547, 7119, 12725, 610, 6443, 513, 3677, 3084, 4674, 267, 972, 616, 2789, 2081, 585, 3025, 547, 7119, 563, 15697, 11242, 543, 4317, 9012, 22411, 338, 454, 18704, 707, 1378, 1648, 22766, 4388, 543, 2833, 609, 707, 2828, 543, 13794, 547, 5000, 1866, 547, 1491, 2962, 269, 6733, 856, 585, 1514, 2923, 11044, 543, 814, 6255, 4711, 1644, 547, 6052, 21252, 4303, 269, 1411, 666, 1256, 4647, 543, 946, 713, 1863, 1514, 2923, 6539, 689, 519, 4013, 6052, 21252, 4303, 3135, 563, 12709, 6052, 10748, 1080, 454, 306, 3832, 7191, 513, 3318, 1753, 1648, 20894, 269, 3509, 10626, 3549, 2709, 713, 3028, 610, 1683, 1344, 593, 11967, 2912, 6002, 269, 901, 786, 2697, 519, 1283, 2127, 585, 1648, 18026, 1753, 9283, 563, 2791, 666, 4225, 543, 2936, 1648, 22766, 18175, 10232, 1759, 593, 707, 1753, 1648, 20894, 269, 901, 1223, 1331, 27575, 31585, 543, 4946, 13471, 269, 30540, 596, 936, 476, 736, 260, 593, 707, 1648, 3915, 256, 6333, 15175, 547, 1648, 18026, 14233, 610, 16459, 513, 5100, 27687, 520, 563, 27396, 622, 538, 10871, 3718, 10914, 454, 16100, 585, 2199, 11925, 610, 1357, 21577, 18799, 676, 2825, 3906, 610, 10626, 3549, 269, 1452, 11925, 1419, 1683, 4052, 4388, 543, 1344, 593, 1648, 18026, 2853, 1808, 547, 707, 3148, 269, 6744, 609, 707, 2199, 2229, 610, 2146, 3906, 547, 1294, 1018, 779, 8345, 538, 707, 1858, 563, 18794, 513, 7991, 11162, 268, 10000, 454, 5278, 2950, 10891, 2973, 5346, 2621, 1141, 13538, 2097, 1927, 547, 2973, 11614, 267, 10754, 267, 610, 1857, 5624, 269, 26805, 16445, 543, 5533, 8309, 547, 513, 15777, 1604, 563, 18770, 11229, 585, 6052, 21252, 24727, 454, 18770, 11229, 585, 1648, 4398, 4507, 538, 707, 2146, 610, 1533, 269, 15012, 2199, 2825, 2516, 610, 7119, 538, 4884, 10689, 11401, 547, 5639, 707, 1489, 585, 7341, 602, 3895, 1648, 5726, 563, 21798, 13229, 31786, 454, 12441, 596, 917, 8279, 946, 476, 1015, 260, 540, 2698, 10821, 5201, 538, 519, 772, 2529, 269, 286, 6333, 15175, 547, 1648, 18026, 8654, 267, 971, 607, 10896, 1769, 15620, 538, 707, 1753, 563, 5445, 946, 3648, 1447, 1648, 982, 2757, 1651, 663, 27853, 15620, 543, 2063, 1454, 3476, 269, 1411, 666, 849, 3888, 5163, 8596, 610, 4626, 619, 547, 2569, 11991, 8654, 563, 24965, 576, 4826, 26402, 454, 8256, 6326, 1216, 849, 8309, 547, 1648, 4398, 269, 674, 1460, 1022, 20984, 538, 707, 1753, 16425, 267, 543, 2015, 16459, 1970, 32704, 31316, 1115, 543, 17643, 21650, 269, 4635, 4411, 1216, 585, 27445, 849, 17990, 1648, 563, 28874, 24997, 6052, 454, 13706, 15175, 547, 513, 7791, 1648, 2707, 585, 707, 1753, 267, 971, 607, 3859, 610, 2842, 1379, 269, 3509, 2829, 2709, 15314, 543, 3292, 547, 1118, 713, 5912, 2653, 543, 10097, 563, 25821, 640, 305, 919, 2593, 779, 6052, 4149, 3058, 9669, 454, 4263, 24542, 305, 919, 2593, 267, 649, 2461, 13730, 827, 4543, 596, 4688, 593, 5201, 12014, 269, 2334, 779, 1946, 649, 2709, 513, 5763, 540, 1648, 22766, 4388, 543, 2200, 1318, 693, 707, 31840, 269, 6787, 596, 2461, 3168, 547, 1118, 2241, 2242, 693, 1753, 610, 2263, 811, 4359, 1648, 18026, 4066, 267, 938, 3896, 814, 596, 4988, 563, 13425, 856, 938, 4930, 593, 3584, 899, 1215, 1677, 13722, 2659, 24542, 9291, 543, 3657, 6052, 31478, 10331, 10662, 29247, 898, 286, 1452, 10274, 786, 948, 596, 2569, 707, 1648, 4616, 543, 4688, 2724, 593, 707, 5201, 12014, 563, 2171, 849, 948, 596, 5635, 5201, 3928, 543, 1265, 519, 1655, 5201, 8502, 585, 707, 2115, 269, 10435, 596, 811, 1648, 18026, 543, 5329, 707, 3928, 1970, 563, 21328, 21252, 4303, 7330, 454, 9961, 5239, 267, 3314, 602, 707, 3527, 267, 2436, 2462, 610, 1507, 267, 2199, 610, 3084, 267, 723, 513, 678, 21451, 1198, 269, 1635, 1818, 1648, 18026, 5079, 267, 596, 4688, 593, 5201, 543, 3565, 547, 513, 811, 4264, 543, 10357, 7888, 2104, 563, 18794, 721, 538, 14120, 6052, 21252, 4303, 476, 1708, 274, 593, 5239, 476, 275, 628, 269, 8625, 267, 649, 666, 3648, 1764, 1648, 9806, 267, 5201, 3928, 267, 543, 513, 17321, 2104, 585, 782, 563, 26835, 22934, 585, 811, 4388, 267, 10311, 267, 543, 2200, 547, 4688, 593, 707, 1648, 3915, 269, 0, 7072, 281, 26579, 568, 513, 10723, 543, 13710, 3460, 538, 519, 1272, 540, 513, 4807, 267, 543, 18420, 267, 835, 540, 519, 1158, 779, 9510, 10764, 267, 814, 513, 3638, 13795, 540, 12738, 543, 5389, 547, 3391, 543, 1489, 2503, 656, 11299, 1282, 713, 2629, 5123, 269, 1452, 9821, 711, 1152, 2709, 2168, 543, 3929, 1134, 5630, 855, 849, 5289, 4222, 269, 769, 713, 2376, 267, 649, 786, 5490, 883, 519, 1585, 3268, 543, 4644, 540, 9699, 12738, 543, 5389, 1282, 6379, 563, 3721, 476, 272, 281, 623, 4548, 822, 3570, 630, 3519, 4003, 645, 1652, 532, 2187, 763, 3460, 540, 9699, 6379, 12738, 5956, 1256, 1354, 17748, 269, 623, 4548, 822, 3570, 568, 519, 1101, 1713, 1900, 267, 5473, 513, 9161, 547, 3343, 519, 25736, 540, 519, 23942, 585, 513, 2635, 543, 4075, 6681, 1126, 269, 21676, 1255, 1419, 3643, 513, 11454, 610, 1685, 513, 2027, 4996, 10937, 630, 335, 2001, 518, 264, 547, 1045, 5803, 25736, 689, 741, 6074, 25976, 269, 901, 9161, 568, 5156, 547, 1625, 1518, 519, 3237, 685, 8186, 543, 4703, 267, 4180, 513, 4075, 6681, 22871, 563, 3721, 476, 273, 281, 12275, 321, 17495, 327, 3570, 630, 3519, 4003, 2187, 5629, 6379, 568, 9672, 267, 519, 12275, 321, 17495, 327, 3570, 16008, 3217, 1747, 269, 898, 568, 513, 10723, 9161, 602, 7436, 519, 4090, 950, 519, 9997, 13788, 519, 27042, 540, 519, 3993, 269, 901, 16008, 3322, 19001, 267, 16051, 6652, 267, 543, 17008, 547, 1045, 5803, 10143, 5583, 543, 4027, 585, 519, 3395, 21565, 269, 898, 849, 11363, 519, 2956, 540, 513, 18900, 2078, 1063, 519, 3237, 563, 3721, 476, 274, 281, 3244, 656, 517, 333, 27011, 630, 295, 1515, 6261, 691, 532, 24583, 3000, 344, 2187, 32481, 519, 8772, 610, 11359, 3923, 540, 6379, 267, 519, 3244, 656, 517, 333, 27011, 16008, 568, 5340, 269, 4438, 713, 9161, 267, 519, 9393, 5402, 2694, 1010, 7385, 779, 4552, 547, 24901, 519, 4098, 540, 513, 1007, 3184, 538, 741, 1272, 607, 3237, 269, 898, 568, 5156, 602, 713, 957, 13462, 519, 1126, 547, 519, 17184, 1648, 267, 4180, 513, 2318, 1764, 593, 741, 2168, 543, 2790, 1646, 563, 3721, 476, 275, 281, 17926, 1744, 1077, 630, 18661, 327, 32038, 2967, 2187, 1103, 519, 18749, 3923, 267, 513, 4816, 17643, 267, 1634, 607, 968, 18661, 327, 32038, 2967, 2223, 568, 6896, 547, 8661, 519, 31587, 12625, 540, 519, 4816, 269, 14886, 543, 1920, 5531, 547, 12196, 519, 2503, 656, 3993, 267, 2709, 13344, 267, 543, 2671, 538, 1200, 7772, 269, 898, 568, 513, 942, 585, 19001, 267, 8964, 267, 543, 3756, 267, 5807, 513, 2631, 540, 2146, 1489, 543, 2648, 563, 3721, 476, 276, 281, 623, 1066, 7614, 18639, 543, 10791, 912, 9961, 6379, 267, 9699, 5389, 11168, 519, 2956, 540, 4509, 2168, 543, 2790, 1134, 5630, 269, 623, 1066, 7614, 10649, 267, 610, 968, 294, 16808, 327, 7236, 18639, 2223, 568, 9415, 547, 2327, 8112, 543, 4222, 585, 519, 24584, 3993, 269, 3958, 267, 513, 7059, 2732, 568, 2629, 267, 6220, 3536, 602, 616, 2808, 2893, 339, 17771, 630, 335, 675, 543, 27357, 264, 547, 16138, 880, 1312, 519, 3993, 543, 519, 4816, 563, 3721, 476, 277, 281, 11545, 21813, 619, 543, 31615, 6652, 912, 2750, 1051, 656, 11299, 616, 9415, 547, 4497, 538, 3232, 19001, 543, 16051, 6652, 269, 932, 13589, 1808, 16051, 6652, 899, 519, 12275, 321, 3873, 590, 13089, 541, 16051, 571, 568, 5156, 547, 723, 513, 2318, 1764, 593, 519, 4816, 779, 2790, 543, 5289, 1646, 269, 898, 849, 2337, 538, 2870, 513, 9350, 543, 2318, 1604, 585, 1312, 3993, 543, 1126, 563, 3721, 476, 278, 281, 7335, 29042, 31157, 912, 2414, 1128, 650, 5837, 2418, 543, 5289, 7326, 538, 519, 796, 9799, 1126, 267, 9699, 11299, 616, 15695, 547, 1224, 610, 6432, 547, 10723, 5931, 267, 971, 607, 519, 13225, 698, 822, 611, 717, 7534, 267, 10548, 27011, 267, 610, 10067, 629, 9618, 1092, 269, 901, 2259, 568, 5156, 547, 3986, 519, 4816, 779, 1702, 543, 9637, 1256, 1354, 4332, 563, 3721, 476, 279, 281, 715, 5446, 24583, 3000, 344, 630, 301, 600, 330, 15546, 2187, 5475, 519, 4816, 568, 4535, 267, 513, 20803, 16008, 1634, 607, 968, 301, 600, 330, 15546, 892, 568, 5340, 269, 589, 17308, 568, 2356, 14376, 547, 2932, 519, 16008, 267, 1282, 799, 519, 4816, 779, 2012, 568, 6074, 1759, 593, 4230, 25233, 543, 5289, 4644, 269, 634, 6074, 2012, 568, 5156, 547, 3310, 519, 1126, 779, 1272, 2619, 563, 295, 8114, 12738, 543, 5389, 1282, 6379, 616, 7184, 12082, 538, 17035, 543, 2245, 269, 1358, 4196, 547, 3391, 543, 1489, 2503, 656, 11299, 9308, 267, 14156, 267, 543, 32375, 267, 5807, 513, 2631, 540, 4276, 547, 519, 10143, 543, 519, 2146, 269, 1452, 12738, 711, 1152, 5965, 519, 3993, 585, 27638, 855, 849, 1711, 513, 2178, 5748, 585, 519, 1126, 779, 2104, 267, 10771, 519, 2956, 540, 2418, 267, 17035, 267, 543, 513, 18900, 1920, 1604, 269, 0, 2026, 519, 2012, 5267, 267, 3593, 24378, 1543, 630, 308, 24774, 264, 11498, 3564, 1543, 3812, 676, 1004, 2047, 15025, 609, 513, 1587, 610, 3028, 269, 772, 24774, 666, 581, 2813, 676, 3755, 945, 2933, 267, 610, 945, 616, 8204, 513, 1587, 610, 3028, 538, 513, 2344, 5304, 563, 308, 24774, 814, 1831, 1360, 2442, 607, 513, 1259, 547, 8831, 519, 1871, 540, 2472, 543, 2533, 269, 1703, 616, 1082, 2081, 547, 946, 772, 24774, 1519, 7044, 267, 2592, 267, 8964, 267, 543, 1257, 9708, 269, 1452, 2010, 540, 1543, 666, 581, 11368, 883, 6725, 11044, 3927, 547, 2333, 6455, 610, 6284, 563, 6624, 2053, 267, 3549, 946, 772, 24774, 1510, 4758, 1022, 7156, 547, 922, 2298, 269, 3509, 2053, 8292, 543, 5955, 616, 1524, 341, 6838, 855, 1869, 2408, 593, 519, 1587, 610, 3028, 779, 3896, 1813, 547, 556, 1532, 5802, 26511, 267, 1818, 621, 2408, 607, 1498, 621, 729, 11540, 676, 519, 3312, 3593, 563, 14300, 540, 3593, 24378, 1543, 454, 27165, 24378, 1543, 568, 1022, 1543, 602, 568, 6383, 676, 513, 3593, 267, 1759, 593, 1543, 689, 824, 3755, 269, 901, 666, 581, 1543, 2854, 676, 2576, 3116, 267, 855, 849, 1543, 2813, 676, 3755, 607, 24909, 547, 519, 1543, 2854, 676, 1866, 563, 27165, 24378, 1543, 666, 581, 2854 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1960, 275, 1916, 2414, 2697, 2188, 602, 6719, 3347, 1851, 891, 3688, 630, 272, 268, 280, 1657, 1070, 649, 5340, 3815, 9382, 602, 10924, 3921, 514, 1275, 454, 1993, 519, 1239, 630, 13070, 6135, 328, 267, 476, 1960, 271, 1916, 2005, 568, 4122, 5156, 602, 585, 1053, 547, 1174, 513, 1297, 1523, 789, 991, 547, 1174, 1079, 2596, 3601, 540, 2338, 281, 3556, 514, 1275, 543, 3921, 514, 1275, 454, 8512, 8422, 540, 9861, 543, 7926, 5161, 538, 519, 1292, 540, 513, 17890, 11840, 566, 540, 1297, 3069, 267, 606, 11840, 566, 799, 9727, 538, 1469, 519, 4835, 2497, 540, 3871, 538, 2474, 540, 519, 6935, 540, 3921, 514, 1275, 454, 267, 799, 585, 14068, 328, 537, 568, 1776, 2012, 585, 2067, 3871, 563, 2414, 1449, 19165, 29138, 476, 272, 267, 29138, 476, 273, 543, 29138, 476, 274, 267, 649, 6964, 513, 4480, 4330, 538, 3397, 6135, 328, 630, 1960, 271, 264, 547, 8831, 2845, 5276, 2845, 527, 9781, 547, 2272, 585, 3921, 514, 1275, 454, 1993, 519, 30661, 563, 5560, 264, 1323, 26087, 525, 1031, 4325, 1301, 534, 9756, 1813, 547, 519, 3921, 514, 1275, 454, 1993, 519, 21205, 2268, 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 ]
[ 5197, 4649, 274, 274, 454, 278, 269, 717, 10611, 269, 16605, 514, 269, 8212, 540, 17437, 918, 27282, 269, 1109, 11754, 2581, 8862, 525, 2917, 6583, 269, 3213, 282, 476, 272, 560, 7160, 267, 476, 3422, 276, 454, 279, 269, 7917, 32149, 22210, 267, 4985, 547, 17437, 1234, 18503, 20491, 267, 476, 2735, 279, 563, 280, 269, 772, 2529, 269, 4972, 540, 6052, 267, 17437, 8212, 543, 1234, 18503, 7869, 269, 1109, 23077, 292, 26386, 18361, 267, 1109, 24127, 476, 272, 543, 476, 273, 269, 1109, 20464, 1109, 1960, 274, 269, 0, 6637, 476, 3066, 267, 9046, 476, 10436, 14154, 692, 2162, 5441, 8212, 692, 272, 560, 9990, 454, 26469, 8834, 7984, 821, 1341, 476, 272, 824, 454, 25835, 281, 476, 7818, 4350, 279, 1626, 8517, 271, 692, 6637, 454, 4089, 692, 2162, 5441, 8212, 692, 272, 560, 9990, 454, 26469, 8834, 7984, 821, 1341, 476, 272, 824, 454, 25835, 281, 476, 7818, 4350, 279, 1626, 8517, 271, 454, 17806, 1504, 9046, 692, 258, 21091, 16610, 26422, 2775, 1657, 519, 3047, 781, 5790, 814, 606, 8515, 540, 476, 272, 269, 1789, 330, 310, 8276, 273, 269, 1403, 713, 568, 10630, 2786, 1394, 689, 513, 11604, 602, 814, 1152, 513, 1507, 973, 11798, 267, 519, 1769, 781, 11610, 568, 4010, 20328, 267, 4758, 519, 11604, 7466, 519, 10071, 11610, 269, 630, 320, 264, 12433, 519, 3196, 829, 4009, 11281, 540, 11604, 269, 630, 321, 264, 15020, 1970, 2527, 19141, 666, 581, 9112, 538, 519, 2282, 2597, 16531, 540, 2230, 267, 543, 7923, 547, 513, 5624, 1222, 547, 13743, 621, 269, 4495, 2944, 267, 519, 3328, 2527, 829, 4009, 11281, 540, 519, 5624, 1222, 568, 476, 271, 269, 1911, 4846, 269, 4855, 519, 10231, 540, 519, 5624, 1222, 952, 782, 824, 4229, 616, 7059, 269, 630, 322, 264, 1215, 3728, 568, 621, 3001, 476, 2190, 3108, 2663, 2496, 2414, 3313, 692, 5416, 2020, 763, 3196, 829, 4009, 11281, 540, 11604, 780, 15008, 692, 11693, 4578, 1384, 11693, 602, 519, 7943, 1657, 519, 3047, 781, 5790, 814, 606, 8515, 540, 272, 269, 1789, 330, 310, 8276, 273, 1547, 1403, 713, 568, 10630, 2786, 1394, 689, 513, 11604, 602, 814, 1152, 513, 1507, 973, 11798, 267, 519, 1769, 781, 11610, 568, 4010, 20328, 267, 4758, 519, 11604, 7466, 519, 10071, 11610, 780, 13528, 3121, 13242, 1384, 2690, 576, 568, 7229, 607, 5205, 1384, 293, 284, 383, 492, 892, 303, 383, 492, 892, 339, 692, 8489, 383, 492, 892, 303, 284, 7827, 538, 28850, 636, 692, 383, 492, 892, 339, 284, 7827, 538, 942, 692, 15612, 566, 1384, 300, 30291, 636, 540, 27141, 568, 7229, 607, 692, 303, 284, 273, 31319, 692, 2171, 723, 322, 284, 274, 12728, 1765, 10482, 332, 4882, 543, 292, 284, 272, 269, 1789, 12728, 1765, 9818, 297, 8276, 273, 692, 27802, 23082, 519, 2418, 538, 1657, 3830, 267, 649, 1205, 692, 303, 284, 273, 12728, 1765, 272, 269, 1789, 12728, 1765, 9818, 297, 8276, 2537, 12728, 1765, 10482, 332, 4882, 692, 303, 284, 279, 692, 2414, 3313, 692, 6357, 2020, 763, 10231, 540, 519, 5624, 1222, 952, 782, 4229, 616, 7059, 780, 2414, 3313, 692, 6262, 2020, 1692, 3728, 568, 621, 3001, 2190, 327, 2293, 2663, 780, 2162, 12846, 521, 1380, 532, 856, 536, 691, 548, 2421, 2496, 13425, 856, 513, 3732, 1837, 3070, 780, 8450, 513, 3732, 3070, 692, 2971, 634, 8827, 547, 2659, 5530, 10819, 692, 289, 691, 548, 2421, 2488, 3137, 547, 5215, 540, 1837, 2042, 2854, 676, 938, 4966, 267, 1082, 609, 4359, 5232, 2439, 7476, 29035 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2085, 269, 4256, 2898, 1979, 17190, 666, 581, 1114, 689, 23872, 2281, 1336, 538, 513, 7820, 1560, 543, 741, 2702, 547, 3935, 1047, 824, 8219, 543, 5160, 568, 1419, 18604, 563, 763, 12918, 616, 30528, 16119, 538, 12797, 540, 3751, 8176, 630, 335, 1112, 3293, 6028, 6413, 2221, 1040, 1261, 779, 3514, 267, 22655, 1134, 267, 10425, 2370, 4568, 543, 1107, 1034, 11932, 1107, 1010, 1869, 3562, 15515, 268, 30009, 2860, 4667, 547, 723, 1044, 9571, 693, 513, 1360, 2038, 3942, 454, 4002, 519, 824, 1688, 267, 17150, 2860, 538, 4587, 2367, 540, 3751, 8176, 685, 2085, 11148, 547, 581, 1454, 811, 10728, 563, 2690, 1383, 267, 513, 476, 4037, 4458, 6040, 812, 779, 8458, 540, 17005, 519, 2068, 568, 2693, 547, 581, 1454, 2539, 982, 2576, 538, 741, 6957, 2906, 610, 13683, 625, 267, 1256, 952, 519, 6084, 712, 568, 13603, 909, 693, 606, 2038, 3942, 267, 1382, 5267, 563, 29012, 267, 2860, 538, 4587, 1004, 568, 865, 1114, 602, 538, 930, 20453, 621, 779, 1631, 5219, 547, 607, 513, 2564, 20614, 782, 540, 922, 1378, 267, 12908, 12278, 593, 19223, 563, 4517, 609, 1434, 2601, 269, 769, 519, 2250, 267, 1082, 4587, 2860, 2550, 593, 519, 23244, 723, 1044, 2016, 6757, 543, 5732, 14603, 13066, 540, 18068, 5061, 547, 2119, 543, 21933, 30185, 741, 6084, 2293, 267, 950, 1082, 941, 1107, 649, 1631, 917, 1107, 538, 1100, 2783, 547, 16641, 971, 606, 593, 16435, 4381, 563, 14367, 2860, 5868, 814, 3144, 3025, 676, 9983, 267, 4947, 607, 621, 1705, 1175, 2395, 1310, 1010, 3811, 2126, 585, 513, 22480, 17150, 2783, 454, 14188, 2685, 267, 2221, 519, 3804, 568, 547, 1521, 873, 865, 602, 789, 2661, 513, 22510, 2298, 540, 1272, 609, 741, 2860, 267, 2864, 982, 2119, 543, 6861, 621, 693, 782, 3790, 563, 4002, 519, 824, 2427, 540, 519, 11777, 267, 519, 23244, 849, 814, 606, 25031, 1686, 540, 896, 2389, 11661, 930, 2550, 538, 519, 3751, 779, 2085, 31455, 1107, 593, 519, 4493, 602, 789, 2461, 2025, 543, 1131, 1152, 1294, 3908, 4324, 689, 14427, 5574, 602, 1223, 979, 547, 2576, 7820, 563, 3719, 1919, 723, 4957, 269, 9093, 543, 2021, 538, 741, 476, 3583, 338, 891, 2395, 616, 3622, 1454, 8902, 982, 1346, 540, 476, 736, 610, 476, 1789, 1296, 3516, 543, 1732, 2111, 547, 11883, 609, 2860, 3797, 269, 1548, 779, 811, 267, 5061, 543, 5574, 616, 513, 2603, 8425, 2401, 982, 789, 941, 267, 609, 519, 4220, 540, 1373, 8914, 539, 676, 873, 1454, 1447, 563, 4517, 713, 786, 1152, 1205, 1732, 269, 10738, 519, 1985, 8717, 267, 649, 3580, 581, 2111, 547, 3732, 519, 5027, 540, 6084, 712, 2281, 543, 1287, 946, 14464, 11106, 547, 10502, 3589, 799, 3075, 610, 2126, 1142, 1367, 3461, 786, 1655, 4431, 547, 1107, 16116, 519, 1318, 835, 1101, 942, 543, 4227, 513, 2603, 540, 519, 4693, 543, 5470, 649, 1294, 538, 2860, 1416, 563, 2171, 1869, 1810, 1406, 917, 1018, 3751, 8176, 685, 5868, 568, 269, 2290, 7872, 568, 15485, 2860, 602, 7189, 949, 723, 19481, 950, 789, 17332, 513, 8546, 547, 7500, 593, 1010, 17150, 543, 4362, 513, 31797, 563, 7775, 621, 949, 602, 1282, 6391, 789, 8068, 2860, 538, 1010, 9726, 9136, 267, 6263, 12162, 2737, 12297, 1540, 2429, 519, 1560, 799, 948, 547, 6882, 3653, 2472, 689, 519, 1973, 563, 3719, 8726, 621, 568, 267, 594, 6557, 1360, 23904, 827, 1010, 23567, 1107, 8449, 865, 827, 519, 2104, 19773, 585, 2860, 2550, 8995, 1472, 519, 1482, 2085, 563, 23178, 10127, 565, 31881, 7702, 568, 519, 5449, 2212, 540, 519, 2622, 2657, 25944, 779, 2860, 10872, 543, 814, 1044, 606, 23244, 32346, 6048, 585, 476, 5655, 1296, 0, 2467, 616, 1614, 3334, 547, 513, 18843, 540, 4552, 269, 634, 2759, 1834, 267, 610, 5007, 4494, 267, 568, 1034, 4299, 676, 2123, 5957, 543, 15237, 267, 971, 607, 9514, 1673, 11538, 267, 4552, 20004, 267, 6001, 619, 543, 824, 5574, 269, 3143, 2339, 519, 4552, 1826, 267, 2759, 2873, 666, 2141, 1831, 8697, 269, 1717, 1225, 569, 4552, 2759, 2873, 616, 1079, 2389, 1307, 607, 5394, 607, 519, 2759, 2873, 593, 2786, 4552, 269, 634, 16794, 267, 610, 1647, 4494, 267, 666, 849, 581, 12816, 856, 268, 2523, 952, 519, 4552, 814, 4503, 922, 8112, 269, 634, 4099, 540, 519, 4552, 21155, 548, 568, 1572, 519, 15941, 267, 610, 21155, 548, 269, 634, 15941, 7506, 519, 4287, 4552, 9428, 538, 269, 1879, 519, 15941, 568, 13622, 11057, 267, 519, 4552, 568, 1225, 569, 269, 18471, 32235, 3132, 2786, 4552, 543, 6366, 32235, 5352, 1225, 569, 4552, 269, 5808, 6785, 4552, 729, 865, 1950, 888, 295, 1515, 9403, 8060, 519, 3892, 540, 519, 21435, 779, 2067, 11041, 547, 519, 7475, 540, 1142, 4552, 18843, 269, 18135, 697, 4552, 2636, 519, 11041, 547, 1847, 6923, 998, 547, 519, 4552, 7475, 282, 1247, 530, 8283, 267, 1225, 569, 543, 737, 1074, 344, 4552, 2010, 723, 14258, 602, 3247, 519, 11041, 689, 10707, 1524, 2072, 607, 3533, 269, 901, 1797, 267, 2786, 4552, 2115, 547, 581, 18233, 811, 4749, 982, 824, 18282, 269, 1924, 519, 6371, 3884, 1406, 2141, 22928, 2336, 16987, 2939, 532, 609, 4552, 5574, 786, 1152, 2981, 519, 9018, 4494, 540, 707, 4552, 267, 711, 922, 2067, 2497, 269, 4935, 519, 3337, 540, 707, 4552, 32235, 610, 15620, 786, 1832, 707, 4552, 2141, 3395, 1394, 519, 1482, 1259, 269, 6904, 568, 1776, 2601, 1946, 621, 779, 1271, 547, 9784, 707, 2067, 4552, 1826, 267, 1100, 2339, 875, 596, 6430, 547, 2511, 267, 2759, 610, 3337, 621, 269, 0, 2026, 606, 8835, 21133, 594, 7118, 689, 27216, 16306, 563, 763, 22539, 18565, 540, 513, 1535, 2643, 25869, 723, 1044, 513, 20013, 538, 2575, 585, 5553, 269, 1717, 267, 609, 519, 4417, 540, 2029, 267, 519, 2757, 1535, 2643, 25869, 814, 22734, 513, 3059, 7004, 267, 4758, 4473, 547, 519, 5907, 1535, 2643, 25869, 269, 769, 713, 2376, 267, 649, 5490, 883, 519, 4241, 1158, 540, 5907, 1535, 2643, 2684, 2158, 267, 3695, 741, 3334, 267, 5383, 267, 543, 1764, 593, 519, 2575, 2872, 563, 15253, 7859, 540, 606, 18329, 2473, 2643, 25869, 454, 16978, 3055, 1535, 2643, 2684, 2158, 267, 519, 3059, 13413, 540, 519, 2757, 25576, 15664, 6293, 267, 30107, 513, 10427, 5044, 540, 3334, 602, 3565, 547, 741, 2189, 3280, 543, 10342, 269, 4197, 519, 14960, 540, 891, 3334, 24259, 1769, 593, 519, 7415, 7207, 540, 5907, 1535, 2643, 2684, 2158, 563, 19445, 32368, 543, 11576, 832, 454, 4263, 519, 2295, 540, 606, 5907, 1535, 2643, 25869, 616, 922, 3059, 10569, 543, 8596, 269, 9521, 519, 2168, 13063, 1336, 593, 2757, 1535, 2643, 2684, 2158, 267, 5907, 1535, 2643, 2684, 2158, 4183, 5905, 25259, 3059, 10569, 269, 1452, 10569, 267, 1419, 1500, 540, 1164, 7779, 2326, 267, 4431, 547, 519, 6345, 779, 5905, 267, 24758, 519, 16082, 540, 741, 2773, 883, 3059, 6786, 269, 634, 18913, 8596, 3713, 519, 2604, 543, 6991, 540, 1142, 1883, 560, 6593, 267, 4180, 513, 17841, 543, 22192, 4730, 1995, 563, 306, 895, 19087, 11115, 1143, 454, 763, 3280, 5108, 7271, 538, 5907, 1535, 2643, 2684, 2158, 568, 513, 14952, 540, 2413, 2029, 269, 5502, 540, 13461, 593, 2168, 16982, 267, 5907, 1535, 2643, 2684, 2158, 2308, 513, 3099, 540, 3059, 3280, 10282, 2409, 269, 901, 666, 1331, 3732, 2861, 3280, 5108, 267, 1141, 19827, 540, 1483, 1535, 2643, 2684, 2158, 616, 1031, 267, 610, 811, 4359, 2553, 899, 2168, 9781, 267, 18187, 908, 519, 6323, 540, 1535, 2643, 25869, 3280, 25274, 269, 634, 1267, 568, 513, 3309, 2039, 540, 18565, 543, 4626, 321, 637, 602, 666, 581, 16419, 547, 9290, 519, 22459, 779, 7375, 563, 16978, 3055, 1535, 2643, 2684, 2158, 616, 711, 1796, 29671, 7405, 282, 789, 616, 2966, 547, 11753, 16900, 883, 2413, 2575, 1305, 5725, 269, 4045, 2032, 2934, 971, 607, 18292, 267, 631, 2839, 296, 630, 15404, 673, 19639, 618, 7913, 28497, 1070, 543, 8301, 17016, 1450, 12372, 547, 1921, 741, 5907, 1535, 2643, 2684, 2158, 547, 5904, 267, 13754, 9088, 267, 610, 7586, 13294, 269, 901, 10741, 909, 513, 1158, 540, 7399, 585, 10916, 267, 2661, 12644, 267, 543, 5698, 609, 824, 3059, 7405, 563, 8139, 891, 3334, 568, 2629, 585, 1312, 14971, 12372, 3168, 547, 9784, 519, 3059, 1535, 2643, 25869, 543, 19023, 5716, 28006, 689, 2757, 25576, 15664, 7405, 269, 634, 3059, 10569, 543, 8596, 267, 13745, 609, 519, 4359, 3280, 5108, 7271, 543, 14479, 2934, 267, 15217, 3565, 547, 519, 5907, 1535, 2643, 25869, 779, 17545, 543, 13916, 538, 1585, 7574, 8658, 269, 1306, 2029, 5170, 547, 4434, 267, 649, 666, 18783, 1256, 811, 5499, 2934, 543, 9283, 538, 519, 3334, 602, 5581, 519, 5907, 1535, 2643, 25869, 563, 26794, 540, 18329, 2473, 2643, 2684, 2158, 454, 16978, 3055, 1535, 2643, 2684, 2158, 267, 609, 741, 12760, 540, 2245, 543, 2029, 267, 2709, 513, 16221, 540, 5383, 602, 8597, 547, 12372, 540, 782, 2157, 269, 2913, 779, 2263, 519, 1883, 2640, 602, 1118, 891, 3059, 7405, 513, 8903, 3903, 538, 519, 1158, 540, 2575, 563, 3080, 540, 519, 1796, 719, 5383, 540, 5907, 1535, 2643, 2684, 2158, 568, 741, 2823, 1464, 269, 9521, 741, 17974, 13413, 267, 799, 666, 581, 1804, 543, 524, 13246, 727, 267, 5907, 1535, 2643, 2684, 2158, 616, 1419, 11741, 543, 17426, 269, 901, 2306, 873, 4998, 585, 12372, 593, 519, 979, 267, 2436, 7900, 593, 3942, 267, 23712, 538, 513, 18638, 267, 610, 3274, 3695, 7574, 5876, 538, 1114, 5468, 269, 634, 8897, 540, 3560, 10741, 909, 3255, 585, 791, 668, 696, 340, 12644, 543, 10319, 7886, 267, 7393, 519, 2949, 10333, 540, 519, 6293, 563, 309, 619, 12546, 538, 14675, 454, 16978, 3055, 1535, 2643, 2684, 2158, 30107, 513, 7415, 2039, 540, 4992, 543, 18565, 269, 634, 3059, 2470, 540, 891, 7405, 2636, 585, 519, 18643, 540, 2757, 1535, 2643, 25869, 4992, 1247, 849, 5356, 519, 2702, 547, 2263, 3309, 18565, 543, 2360, 269, 4053, 5974, 666, 4603, 609, 1585, 1095, 1115, 267, 4188, 6724, 267, 543, 1256, 6451, 5907, 4992, 267, 9750, 519, 521, 4577, 7399, 540, 519, 1535, 2643, 25869, 269, 901, 17545, 2306, 5907, 1535, 2643, 2684, 2158, 5078, 585, 513, 2647, 2039, 540, 2575, 11964, 267, 689, 8106, 547, 4207, 543, 3388, 538, 1063, 563, 16978, 3055, 1535, 2643, 2684, 2158, 4196, 607, 5140, 3872, 2645, 267, 2523, 585, 14987, 269, 634, 5610, 540, 2934, 899, 7317, 18862, 267, 3710, 2987, 4245, 267, 543, 28253, 7411, 2157, 16881, 519, 1565, 1184, 269, 634, 3308, 543, 17391, 5955, 3177, 676, 5907, 1535, 2643, 2684, 2158, 2337, 14971, 12372, 9787, 1898, 2035, 267, 2087, 741, 4730, 4480, 267, 543, 1020, 513, 2178, 5748, 538, 2575, 3069, 269, 1452, 3872, 2640, 1118, 5907, 1535, 2643, 2684, 2158, 3407, 7221, 538, 2575, 13460, 543, 585, 1367, 6267, 7567, 563, 1692, 547, 7994, 519, 9406, 18329, 2473, 2643, 25869, 454, 24400, 519, 1318, 5907, 1535, 2643, 25869, 3322, 6236, 1585, 2188, 547, 2327, 602, 519, 6293, 20383, 609, 707, 7375, 267, 2115, 267, 543, 6578, 269, 3371, 779, 513, 3102, 3391, 547, 948, 596, 6330, 519, 3681, 543, 1118, 606, 5483, 3375, 563, 8256, 573, 3130, 540, 6206, 17972, 454, 24375, 707, 5542, 1184, 676, 7114, 519, 1883, 2934, 602, 2339, 1034, 547, 596, 269, 9796, 3007, 547, 2188, 971, 607, 519, 1297, 540, 10569, 267, 519, 1570, 1031, 585, 519, 10569, 267, 543, 519, 8417, 540, 519, 8596, 269, 589, 6626, 2039, 540, 10569, 2636, 585, 513, 811, 3573, 4730, 2039, 267, 1247, 1164, 7779, 2326, 3565, 547, 15006, 269, 11576, 6638, 568, 2629, 585, 13857, 4730, 267, 4180, 602, 519, 6293, 20781, 8308, 547, 707, 5905, 563, 15307, 629, 7667, 513, 6578, 568, 513, 4909, 1900, 538, 7446, 519, 1318, 5907, 1535, 2643, 25869, 269, 31245, 666, 4268, 3648, 1759, 593, 6216, 267, 2934, 267, 543, 1628, 2298, 269, 14419, 707, 6578, 2039, 543, 2263, 3681, 1369, 602, 8552, 269, 2755, 621, 779, 15673, 532, 547, 979, 585, 519, 1034, 4183, 11656, 2203, 267, 4466, 513, 3666, 1063, 26622, 543, 1898, 2934, 568, 1883, 267, 2523, 585, 14987, 563, 10932, 532, 519, 10639, 540, 1114, 12478, 568, 1898, 585, 1818, 606, 5483, 3375, 269, 12878, 2082, 12478, 609, 513, 1686, 540, 6721, 2298, 7574, 7405, 616, 3622, 811, 6325, 269, 3367, 6075, 8039, 267, 3343, 7840, 689, 4810, 12372, 267, 543, 2015, 519, 2949, 10639, 540, 519, 6216, 1369, 519, 2575, 2146, 269, 589, 18019, 6216, 5849, 513, 1978, 1377, 540, 2298 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 32616, 673, 8226, 540, 5771, 543, 9099, 12738, 563, 1103, 1840, 547, 3875, 1065, 29251, 538, 17476, 267, 16320, 3098, 543, 9499, 267, 834, 763, 20769, 6670, 257, 814, 1044, 9862, 585, 5925, 267, 2661, 8613, 267, 513, 476, 4198, 274, 29478, 267, 8874, 538, 476, 3422, 280, 543, 476, 1960, 278, 267, 513, 7641, 7260, 267, 606, 22968, 282, 543, 513, 835, 19840, 1404, 676, 7338, 9410, 563, 301, 6195, 781, 5925, 9542, 729, 13739, 4728, 476, 1691, 267, 476, 4198, 272, 267, 607, 606, 12558, 540, 519, 16320, 1108, 3126, 715, 6195, 3465, 757, 281, 10374, 9452, 269, 27752, 29527, 20943, 1195, 476, 9450, 519, 4729, 547, 1331, 10207, 693, 1585, 3197, 262, 5321, 1354, 519, 13169, 543, 513, 6643, 1063, 9291, 543, 570, 612, 773, 670, 8553, 8657, 630, 289, 650, 5267, 6028, 4884, 1354, 519, 13169, 4523, 267, 855, 570, 612, 773, 31439, 1317, 1352, 6499, 547, 979, 10918, 693, 4469, 20477, 5681, 11302, 781, 4558, 1310, 519, 13169, 568, 936, 1040, 20943, 1195, 849, 25216, 3197, 267, 1519, 1079, 540, 519, 670, 8553, 1231, 976, 262, 1614, 1453, 267, 543, 3773, 693, 2547, 835, 1915, 267, 3627, 717, 1495, 3205, 267, 513, 1153, 974, 12329, 945, 15597, 3615, 547, 519, 13169, 1373, 4371, 267, 543, 693, 1101, 31439, 547, 2721, 269, 14033, 519, 2673, 540, 540, 519, 12558, 267, 20943, 1195, 17332, 513, 1906, 8090, 538, 799, 2370, 5096, 344, 670, 8553, 8657, 12134, 267, 834, 2171, 4312, 3893, 547, 2196, 1310, 8575, 1631, 267, 26001, 8119, 543, 9292, 3149, 1010, 6149, 1247, 1010, 3993, 3458, 4461, 267, 834, 291, 8283, 256, 3733, 1378, 4816, 256, 5213, 1405, 256, 5213, 1405, 10590, 7053, 267, 20943, 1195, 3769, 606, 10678, 6429, 10503, 519, 10034, 15161, 781, 2022, 2000, 582, 6670, 2238, 267, 543, 606, 1310, 5320, 538, 799, 519, 15669, 6700, 267, 834, 9202, 1032, 267, 6148, 972, 4465, 1405, 581, 513, 20769, 6670, 269, 898, 781, 909, 547, 782, 540, 721, 269, 932, 1734, 616, 267, 972, 786, 581, 267, 1498, 1701, 634, 2504, 729, 9859, 676, 12448, 595, 269, 11146, 269, 10011, 2818, 3769, 8176, 1530, 601, 267, 717, 841, 12844, 2284, 267, 8341, 928, 23413, 992, 267, 10793, 715, 612, 2401, 267, 6276, 715, 1380, 518, 267, 11518, 11759, 344, 267, 11518, 9445, 18234, 267, 3627, 17755, 4261, 267, 7200, 1047, 31240, 25534, 267, 24697, 932, 848, 267, 543, 20152, 645, 2001, 2023, 269, 8535, 729, 676, 24261, 3751, 269, 5213, 26304, 729, 519, 3045, 1735, 1356, 563, 299, 14019, 962, 755, 781, 2110, 4670, 267, 634, 20769, 6670, 630, 3422, 280, 1070, 3812, 607, 851, 540, 2037, 9871, 19508, 29953, 27429, 781, 1412, 14112, 9452, 8058, 13826, 262, 3126, 267, 729, 19486, 676, 519, 14288, 17912, 25201, 834, 553, 835, 540, 519, 1079, 1655, 18522, 3872, 8874, 2479, 2668, 898, 814, 606, 18913, 4557, 18826, 16555, 4670, 267, 17564, 540, 834, 763, 20769, 6670, 257, 676, 2160, 540, 8828, 4993, 2296, 7548, 3220, 269, 6276, 667, 7875, 514, 269, 3171, 520, 1005, 519, 4670, 26813, 540, 3798, 23548, 2917, 267, 12789, 1421, 962, 755, 781, 9542, 814, 606, 5790, 540, 2067, 1143, 543, 1507, 4884, 13597, 609, 922, 15833, 540, 4584, 5346, 18114, 543, 10034, 15161, 538, 26665, 3298, 267, 4993, 563, 2304, 628, 3415, 1975, 27903, 9862, 519, 1650, 883, 513, 4183, 27480, 7641, 4670, 267, 634, 20769, 6670, 267, 799, 6566, 328, 1229, 5181, 476, 3066, 267, 476, 1960, 277, 267, 593, 715, 6195, 269, 1306, 9450, 676, 1975, 27903, 267, 519, 5993, 13169, 568, 4371, 585, 3909, 4128, 267, 543, 568, 513, 3524, 601, 29101, 1759, 593, 519, 3312, 1744, 597, 2917, 12722, 1650, 269, 2368, 4408, 723, 1044, 4957, 267, 855, 1082, 540, 519, 4587, 3197, 543, 4408, 616, 519, 1482, 607, 12722, 781, 2110, 1650, 269, 25272, 344, 670, 8553, 8657, 1631, 1634, 607, 26778, 8055, 814, 6410, 547, 11785, 267, 855, 8952, 2348, 8755, 10587, 543, 3781, 2742, 637, 827, 519, 2669, 540, 1010, 3993, 269, 3571, 4651, 630, 289, 650, 670, 8553, 8657, 1634, 607, 15751, 8055, 1934, 1070, 568, 1631, 538, 513, 2790, 6413, 267, 543, 12134, 1010, 5067, 547, 13248, 1010, 607, 1127, 593, 1010, 3993, 781, 18205, 1310, 646, 10523, 269, 1261, 4422, 547, 519, 4884, 855, 568, 561, 1221, 547, 676, 519, 10034, 15161, 543, 5143, 602, 9444, 646, 6862, 1010, 3993, 568, 689, 519, 4884, 267, 855, 538, 519, 1439, 267, 646, 568, 10969, 730, 547, 1451, 602, 646, 568, 711, 1152, 689, 519, 4884, 855, 15548, 538, 519, 588, 11238, 540, 1010, 3993, 950, 646, 729, 513, 1507, 1126, 269, 634, 4278, 14525, 1650, 1467, 849, 814, 513, 2648, 1650, 609, 519, 6159, 7458, 10034, 27714, 543, 519, 8909, 2065, 13169, 607, 519, 20457, 269, 634, 24104, 27714, 786, 798, 4376, 547, 1832, 741, 6159, 7458, 2245, 2469, 267, 855, 8055, 6616, 519, 5168, 267, 2591, 519, 4884, 543, 922, 22841, 5389, 950, 646, 16137, 602, 646, 729, 4535, 972, 543, 602, 1010, 3993, 729, 7166, 950, 646, 729, 1152, 3670, 1296, 2025, 676, 519, 5993, 13169, 588, 11238, 269, 1261, 3762, 543, 4422, 1394, 547, 519, 4884, 609, 22602, 267, 855, 1317, 519, 4884, 814, 834, 17852, 257, 538, 519, 3544, 1158, 267, 646, 1281, 711, 4383, 547, 4625, 10625, 519, 7210, 4884, 5389, 267, 543, 849, 12798, 909, 538, 513, 2790, 6413, 1373, 14478, 936, 676, 519, 1482, 4387, 1010, 4651, 1185, 269, 10615, 12253, 590, 871, 8583, 2083, 4364, 538, 12736, 8725, 4149, 531, 655, 267, 3345, 10491, 267, 609, 513, 5641, 602, 3769, 23715, 328, 21651, 267, 8355, 23634, 3150, 267, 7638, 517, 3821, 14295, 342, 2431, 267, 1530, 534, 25371, 267, 11518, 11759, 344, 267, 6428, 727, 808, 839, 543, 631, 269, 2506, 5471, 654, 1023, 327, 269, 898, 729, 9930, 3990, 585, 513, 476, 1960, 278, 21275, 13815, 585, 7454, 17266, 2637, 516, 27657, 19809, 563, 288, 3803, 1650, 1467, 538, 519, 12853, 22968, 14730, 1744, 27595, 630, 27398, 6874, 309, 476, 3422, 277, 1700, 10170, 264, 729, 1759, 593, 834, 763, 20769, 6670, 2668, 5221, 540, 606, 22660, 781, 31169, 267, 538, 1169, 5108, 540, 519, 19811, 1920, 267, 835, 4759, 568, 6074, 676, 13169, 547, 6108, 513, 3781, 538, 513, 20807, 539, 4055, 267, 4611, 538, 2669, 610, 1202, 534, 640, 269, 1403, 519, 13169, 568, 711, 4371, 267, 782, 1920, 2818, 5884, 269, 2311, 519, 3932, 540, 519, 7641, 3126, 267, 18798, 4446, 10109, 553, 19811, 630, 297, 517, 11936, 2605, 573, 264, 543, 21965, 19811, 630, 299, 4673, 26436, 264, 6108, 519, 3781, 538, 519, 4055, 543, 2736, 519, 31169, 563, 3519, 1084, 340, 632, 2283, 26047, 454, 323, 2109, 32666, 1696, 911, 2265, 16725, 13248, 4609, 1357, 454, 308, 928, 535, 523, 17845, 30036, 630, 16647, 10784, 334, 264, 546, 262, 15574, 630, 935, 1084, 340, 9030, 632, 11576, 26047, 264, 1609, 1045, 13228, 19902, 796, 5595, 12641, 545, 1147, 562, 262, 5814, 324, 844, 601, 2138, 632, 12911, 516, 2985, 1357, 269, 15829, 535, 523, 17845, 30036, 2185, 27848, 964, 1011, 10716, 1696, 964, 911, 2265, 687, 2796, 340, 21304, 267, 524, 262, 652, 268, 14504, 1673, 790, 521, 753, 8078, 518, 12911, 516, 1471, 924, 584, 20221, 844, 7867, 12911, 516, 2985, 1357, 476, 2336, 11405, 16450, 20527, 937, 1258, 1664, 454, 13971, 618, 518, 682, 733, 523, 340, 632, 12911, 516, 3135, 454, 288, 329, 537, 614, 632, 562, 537, 557, 14513, 733, 523, 639, 5410, 20221, 12911, 516, 3135, 1244, 7572, 11576, 26047, 1612, 24701, 563, 303, 2117, 712, 597, 8350, 1050, 1080, 1696, 8350, 3045, 517, 806, 454, 11917, 1084, 597, 964, 1217, 725, 679, 24701, 13248, 12974, 17243, 682, 803, 4068, 584, 733, 523, 340, 563, 19340, 518, 964, 2592, 1696, 26955, 21129, 597, 964, 544, 2946, 3279, 1673, 517, 333, 2946, 525, 454, 293, 1460, 518, 3288, 1542, 566, 632, 11024, 4302, 544, 2946, 3279, 1673, 517, 333, 19902, 630, 20123, 4979, 826, 1916, 305, 1619, 793, 324, 906, 24194, 20221, 796, 4757, 632, 6609, 632, 12911, 516, 605, 27826, 563, 297, 324, 5060, 632, 1577, 339, 637, 454, 4131, 339, 5142, 1609, 796, 14247, 340, 632, 1577, 339, 637, 28040, 2787, 333, 21304, 605, 3832, 632, 31679, 5142, 269, 932, 12120, 1577, 30036, 26982, 813, 4673, 383, 362, 339, 13956, 6902, 24924, 535, 2246, 726, 27468, 8350, 1577, 339, 637, 632, 512, 16279, 812, 328, 27056, 6446, 964, 544, 1824, 694, 585, 618, 630, 326, 879, 3832, 267, 5323, 527, 267, 688, 583, 1696, 1666, 264, 1696, 6446, 632, 3288, 1747, 865, 527, 5391, 2946, 337, 19902, 563, 296, 331, 521, 262, 698, 527, 679, 476, 274, 3764, 632, 5538, 591, 682, 7132, 6264, 9930, 3691, 632, 544, 1824, 1502, 17156, 632, 7708, 529, 1577, 339, 637, 1696, 7132, 546, 753, 11552, 1989, 4068, 632, 476, 1626, 1577, 339, 637, 269, 19129, 1609, 513, 1380, 328, 2009, 632, 795, 537, 518, 513, 11355, 3288, 1989, 4068, 632, 476, 1839, 2665, 269, 15776, 1577, 339, 637, 798, 643, 550, 3331, 359, 30036, 11105, 525, 1696, 8350, 544, 1824, 8350, 7132, 1279, 338, 521, 2632, 8350, 803, 4068, 2720, 269, 3487, 545, 23803, 14193, 6677, 2293, 1696, 679, 2958, 626, 17243, 12911, 516, 9930, 546, 753, 3288, 1592, 324, 632, 803, 4068, 2720, 795, 537, 324, 2720, 8206, 808, 537, 518, 454, 291, 2109, 32666, 632, 3288, 31423, 826, 21473, 9809, 320, 1047, 454, 17442, 726, 1575, 691, 964, 26955, 325, 20532, 5918, 21473, 9809, 9820, 521, 2632, 3981, 2946, 525, 1612, 23281, 294, 919, 1696, 735, 677, 550, 796, 1237, 325, 1180, 23579, 618, 513, 11355, 700, 8636, 28584, 1696, 7132, 773, 2720, 1313, 324, 2720, 2553, 838, 2946, 1017, 529, 15530, 563, 8867, 546, 2109, 32666, 964, 28395, 525, 1609, 1147, 339, 719, 26955, 337, 643, 2946, 5918, 546, 2109, 32666, 703, 2946, 326, 1537, 630, 2316, 291, 1916, 299, 262, 1890, 743, 641, 2946, 23135, 21473, 9809, 320, 1047, 536, 26408, 2946, 325, 545, 773, 632, 3288, 6132, 775, 9504, 630, 294, 26214, 1916, 2419, 9734, 3288, 31423, 826, 524, 1043, 13248, 1073, 1084, 597, 964, 911, 2265, 687, 563, 22349, 340, 576, 281, 1612, 322, 712, 597, 8350, 9106, 1186, 521, 2946, 332, 656, 2294, 5918, 546, 2109, 32666, 12746, 1664, 679, 7132, 773, 2720, 31423, 1132, 13248, 544, 773, 5060, 813, 16781, 516, 513, 11355, 2283, 26047, 563, 20412, 2946, 679, 476, 271, 267, 271, 5325, 338, 0, 293, 655, 21442, 3332, 568, 835, 540, 519, 1034, 4922, 22345, 543, 4922, 22190, 3285, 730, 3029, 540, 3332, 2221, 267, 543, 607, 971, 267, 922, 8560, 568, 538, 2169, 878, 2406, 5532, 547, 519, 6626, 2528, 563, 2005, 568, 711, 1152, 513, 6174, 585, 519, 3408, 540, 1950, 2152, 538, 4207, 1272, 282, 922, 3310, 593, 875, 649, 2070, 6000, 568, 5318, 563, 3719, 538, 1931, 547, 5963, 1174, 15594, 3332, 538, 922, 4207, 2796, 267, 835, 1590, 1101, 1174, 922, 1686, 543, 922, 1747, 538, 519, 9962, 2528, 563, 763, 4473, 540, 519, 15594, 3350, 538, 519, 4571, 268, 866, 628, 2540, 543, 922, 1764, 593, 5339, 11407, 538, 519, 3735, 14206, 2540, 5795, 4473, 547, 606, 7357, 1007, 1826, 540, 3332, 267, 799, 1131, 581, 1572, 5339, 9880, 543, 15594, 9880, 563, 1103, 513, 1158, 1141, 5339, 9880, 1185, 1831, 5051, 2184, 545, 2213, 543, 2451, 26310, 267, 519, 11944, 540, 15594, 3332, 607, 513, 1007, 5339, 9135, 538, 519, 2038, 14206, 2540, 729, 1713, 543, 7096, 563, 2005, 2968, 519, 5420, 998, 799, 2021, 543, 2367, 1223, 5968, 543, 2769, 741, 2093, 267, 4606, 267, 543, 2093, 540, 1018, 789, 9228, 607, 26568, 267, 30013, 267, 543, 22457, 2486, 563, 7212, 972, 941, 930, 3604, 1063, 15594, 9880, 543, 5339, 9880, 267, 519, 3804, 540, 1312, 729, 547, 1174, 267, 16472, 267, 543, 2263, 519, 2042, 267, 17536, 1182, 267, 543, 17536, 1182, 540, 519, 1158, 998, 519, 5420, 540, 3332, 563, 763, 1101, 15594, 5339, 9880, 729, 3370, 538, 476, 6942, 275, 267, 543, 922, 2278, 267, 19626, 590, 2632, 698, 267, 729, 513, 22082, 538, 1200, 2361, 267, 2324, 609, 824, 5830, 267, 1519, 13191, 3243, 523, 543, 14667, 645, 3224, 25612, 267, 547, 1020, 15594, 5339, 3069, 563, 293, 655, 21442, 5339, 9880, 814, 1044, 835, 540, 938, 1034, 3532, 543, 1271, 2923, 2959, 267, 607, 1134, 607, 513, 1907, 538, 519, 1646, 540, 2565, 11407, 543, 938, 1620, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 25740, 676, 281, 918, 7967, 3131, 956, 454, 1892, 12995, 676, 281, 10906, 654, 626, 668, 454, 1892, 8242, 281, 476, 278, 270, 2767, 270, 1001, 276, 454, 2252, 596, 2461, 3843, 547, 948, 707, 717, 307, 1053, 1628, 593, 741, 9342, 267, 596, 666, 1688, 856, 713, 1719, 6656, 269, 13669, 5034, 543, 22064, 1053, 666, 6445, 856, 713, 1719, 6656, 547, 1265, 856, 4010, 1018, 741, 9342, 543, 12755, 616, 563, 16435, 728, 476, 272, 540, 476, 1015, 454, 1692, 547, 2422, 606, 9314, 16847, 454, 1607, 1719, 6656, 585, 16805, 543, 22064, 1053, 666, 948, 22064, 3214, 4137, 856, 1141, 741, 2127, 540, 22064, 1145, 9114, 269, 769, 2489, 267, 3214, 945, 1616, 547, 1265, 856, 952, 789, 616, 22064, 538, 1022, 1858, 666, 946, 713, 1719, 6656, 269, 717, 26661, 543, 16805, 1053, 949, 711, 8275, 602, 972, 616, 1082, 2127, 540, 22064, 1145, 602, 789, 949, 3514, 883, 563, 16435, 728, 476, 273, 540, 476, 1015, 454, 2710, 596, 2972, 11264, 2352, 13410, 888, 2710, 596, 899, 547, 5659, 7851, 267, 12125, 267, 543, 7515, 888, 2710, 596, 2972, 519, 3308, 6575, 543, 723, 606, 3742, 9345, 888, 2252, 865, 267, 596, 2693, 723, 2178, 3308, 4882, 6312, 658, 4987, 269, 901, 1826, 540, 4987, 666, 948, 596, 547, 1831, 606, 7376, 267, 11653, 267, 610, 4056, 563, 16435, 728, 476, 274, 540, 476, 1015, 454, 2710, 596, 11981, 1603, 543, 10213, 2984, 888, 4692, 596, 1419, 6707, 22321, 1866, 888, 2252, 865, 267, 596, 2693, 723, 513, 2178, 11913, 270, 1782, 340, 2065, 4987, 269, 901, 1826, 540, 4987, 666, 948, 596, 547, 1831, 513, 5856, 267, 1857, 10584, 267, 15818, 267, 19784, 267, 610, 4116, 563, 16435, 728, 476, 275, 540, 476, 1015, 454, 2710, 596, 2972, 3168, 585, 9266, 3270, 538, 519, 1158, 1472, 596, 888, 2710, 596, 899, 4730, 609, 2338, 610, 6061, 2042, 888, 2252, 865, 267, 596, 2693, 723, 2178, 9266, 270, 3901, 3012, 673, 4987, 269, 901, 1826, 540, 4987, 666, 948, 596, 547, 1831, 513, 22301, 267, 10196, 267, 11653, 267, 2780, 27732, 267, 610, 2272, 656, 563, 16435, 728, 476, 276, 540, 476, 1015, 454, 2710, 596, 899, 547, 7544, 610, 798, 27590, 10415, 888, 2710, 596, 2972, 1585, 5026, 610, 2648, 2324, 609, 707, 3946, 888, 2252, 865, 267, 596, 2693, 723, 2178, 15629, 270, 7219, 20469, 4987, 269, 901, 1826, 540, 4987, 666, 948, 596, 547, 1831, 606, 19002, 267, 15854, 1356, 267, 7376, 267, 15790, 10938, 267, 610, 2964, 545, 563, 16435, 728, 476, 277, 540, 476, 1015, 454, 2710, 596, 2648, 4730, 606, 6293, 610, 7421, 7574, 3270, 888, 6701, 596, 1419, 14941, 2719, 856, 513, 10726, 1247, 596, 1353, 888, 2252, 865, 267, 596, 2693, 723, 2178, 7574, 29265, 15219, 6193, 4987, 269, 901, 1826, 540, 4987, 666, 948, 596, 547, 1831, 513, 22459, 267, 29382, 267, 610, 22256, 563, 16435, 728, 476, 278, 540, 476, 1015, 454, 6701, 596, 1419, 3811, 538, 4543, 1004, 2097, 547, 513, 14207, 888, 2710, 1004, 28040, 10028, 2509, 596, 1317, 789, 1745, 602, 596, 666, 9305, 547, 873, 888, 2252, 865, 267, 596, 2693, 723, 2178, 14375, 4987, 269, 901, 1826, 540, 4987, 666, 948, 596, 547, 1831, 513, 24468, 267, 13309, 267, 6994, 16014, 267, 610, 22267, 563, 16435, 728, 476, 279, 540, 476, 1015, 454, 2710, 596, 2972, 9066, 543, 3206, 827, 707, 1272, 585, 5712, 540, 942, 888, 2710, 596, 1419, 5659, 1018, 2306, 596, 610, 1866, 798, 1018, 596, 798, 888, 2252, 865, 267, 596, 2693, 723, 2178, 703, 1905, 5966, 270, 1410, 626, 1113, 4987, 269, 901, 1826, 540, 4987, 666, 948, 596, 547, 1831, 513, 14544, 267, 3909, 6205, 267, 610, 10236, 6048, 563, 16435, 728, 476, 280, 540, 476, 1015, 454, 2710, 596, 2972, 7836, 1279, 5712, 540, 942, 11303, 676, 2470, 888, 2710, 596, 1745, 13730, 827, 3123, 602, 3801, 547, 8190, 519, 1604, 888, 2252, 865, 267, 596, 2693, 723, 2178, 2067, 626, 4987, 269, 901, 1826, 540, 4987, 666, 948, 596, 547, 1831, 513, 10196, 267, 2825, 626, 267, 6288, 678, 9734, 267, 610, 7762, 534, 626, 563, 16435, 728, 476, 1015, 540, 476, 1015, 454, 6701, 1411, 717, 26661, 888, 5475, 3168, 693, 713, 1719, 6656, 267, 16805, 543, 22064, 1053, 1058, 581, 2111, 547, 2697, 741, 1858, 540, 22064, 1145, 269, 10312, 593, 713, 1858, 543, 960, 547, 3914, 707, 1761, 267, 855, 1810, 1405, 1577, 824, 5396, 543, 4690, 2887, 676, 519, 2081, 728, 563, 1607, 3126, 540, 4930, 11828, 2553, 3610, 666, 946, 547, 948, 22064, 1053, 1451, 267, 1312, 538, 606, 7471, 4928, 543, 538, 513, 4928, 4481, 585, 519, 22064, 269, 717, 26661, 1053, 723, 513, 2603, 540, 1761, 547, 3565, 547, 2486, 267, 865, 3610, 723, 513, 5539, 547, 13599, 873, 1134, 269, 0, 288, 3102, 7650, 540, 561, 2096, 335, 1117, 9047, 8720, 5396, 607, 2589, 267, 26129, 267, 1382, 267, 3123, 543, 5961, 454, 299, 2096, 335, 1117, 9047, 19492, 557, 910, 3281, 1833, 23157, 454, 288, 561, 2096, 335, 1117, 9047, 19492, 557, 610, 513, 13496, 6512, 720, 568, 1360, 1271, 538, 1931, 547, 2327, 606, 5007, 1489, 540, 519, 2960, 543, 621, 666, 581, 606, 2500, 1259, 547, 2569, 543, 547, 1852, 519, 30046, 269, 634, 4229, 2813, 676, 519, 13496, 19492, 1407, 543, 6512, 1137, 7903, 519, 9726, 5714, 689, 519, 26300, 527, 658, 5160, 547, 519, 30754, 8043, 543, 948, 4434, 519, 5714, 811, 9938, 574, 958, 269, 769, 1840, 267, 9849, 513, 13496, 28630, 3947, 4222, 547, 519, 6091, 4092, 2630, 267, 799, 32433, 519, 2604, 540, 519, 26300, 527, 658, 5160, 267, 4061, 519, 9726, 2095, 563, 2005, 568, 1360, 1271, 1282, 519, 4393, 3942, 547, 11694, 519, 5786, 540, 11926, 543, 547, 2061, 519, 2132, 540, 519, 5277, 1063, 5574, 269, 634, 13496, 28630, 1590, 581, 12816, 607, 1279, 607, 519, 11926, 26251, 269, 589, 561, 2096, 335, 1117, 9047, 19492, 557, 610, 513, 13496, 6512, 720, 1590, 581, 12816, 1282, 519, 5712, 540, 7920, 2534, 610, 1282, 606, 3635, 1982, 563, 2414, 581, 2500, 267, 519, 561, 2096, 335, 1117, 9047, 19492, 557, 1058, 3514, 2879, 1872, 569, 543, 1058, 581, 8719, 952, 621, 3587, 12816, 563, 1103, 2489, 267, 1906, 10551, 5773, 2285, 25685, 2164, 538, 519, 1279, 2165, 269, 2368, 1256, 22009, 561, 2096, 335, 1117, 9047, 269, 634, 6671, 1617, 574, 1712, 2126, 1590, 581, 1031, 1354, 759, 15659, 547, 6391, 563, 763, 9067, 657, 25934, 7707, 839, 561, 2096, 335, 1117, 9047, 1317, 519, 1906, 6967, 9726, 8043, 616, 6569, 2899, 609, 519, 3170, 269, 700, 2096, 335, 1117, 9047, 949, 849, 2049, 1739, 6391, 585, 12716, 9067, 657, 25934, 256, 634, 9067, 657, 25934, 814, 1044, 1031, 6707, 538, 13785, 267, 1210, 1360, 1507, 28994, 10358, 543, 513, 1360, 10427, 4480, 267, 855, 519, 13496, 561, 2096, 335, 1117, 9047, 19492, 1407, 1590, 581, 12816, 11179, 1310, 519, 5106, 563, 7093, 3685, 540, 561, 2096, 335, 1117, 9047, 454, 9288, 22817, 18552, 3457, 998, 13496, 9395, 519, 4299, 18215, 538, 513, 561, 2096, 335, 1117, 9047, 19492, 557, 610, 538, 513, 2027, 18849, 799, 4870, 919, 543, 1219, 331, 919, 693, 2834, 11996, 269, 634, 9726, 949, 581, 27071, 689, 519, 18215, 3533, 267, 855, 666, 1291, 547, 13250, 540, 519, 9726, 538, 519, 17657, 267, 4929, 513, 4743, 540, 9636, 269, 700, 8233, 949, 2132, 3533, 547, 519, 4299, 18215, 1310, 1210, 519, 3684, 269, 1717, 267, 971, 561, 2096, 335, 1117, 9047, 6802, 666, 948, 547, 834, 810, 752, 257, 519, 4299, 18215, 8031, 543, 621, 666, 581, 5227, 676, 519, 13309, 585, 713, 1198, 563, 299, 2096, 335, 1117, 9047, 267, 6281, 547, 519, 6391, 610, 2234, 23956, 2126, 454, 1103, 2550, 4171, 2860, 2126, 3769, 2300, 1707, 540, 519, 9726, 9136, 610, 5982, 3797, 519, 1739, 616, 5227, 538, 1931, 547, 2057, 610, 547, 1852, 519, 561, 2096, 335, 1117, 9047, 912, 2252, 519, 3461, 1185, 5340, 513, 9726, 6843, 2300, 1707, 538, 519, 6186, 912, 1103, 519, 2013, 540, 2300, 1707, 540, 519, 15374, 689, 519, 9240, 514, 1858, 519, 1739, 616, 5227, 912, 30535, 609, 561, 2096, 335, 1117, 9047, 616, 15695, 547, 5957, 513, 9963, 25231, 2280, 269, 1452, 25231, 7410, 267, 2139, 998, 519, 2817, 8416, 540, 2550, 609, 561, 2096, 335, 1117, 9047, 267, 616, 12816, 676, 2550, 945, 723, 561, 2096, 335, 1117, 9047, 267, 547, 2057, 741, 3498, 267, 16283, 2126, 607, 2921, 1973, 2604, 267, 13297, 610, 1973, 4015, 689, 519, 4299, 6186, 267, 799, 666, 22009, 741, 2783, 269, 0, 302, 10798, 267, 865, 649, 4076, 782, 2944, 713, 1354, 269, 1411, 1689, 707, 24638, 1769, 543, 4898, 1018, 547, 798, 609, 519, 4666, 835, 269, 23893, 3364, 609, 9075, 269, 634, 2063, 3364, 596, 1058, 798, 609, 2901, 568, 2322, 873, 538, 519, 20203, 547, 979, 547, 519, 25087, 269, 12071, 2803, 1417, 15620, 2270, 16035, 267, 543, 649, 1205, 811, 982, 2614, 540, 602, 689, 519, 3165, 649, 3548, 630, 663, 538, 930, 4025, 267, 519, 1216, 649, 4235, 1040, 1325, 330, 13824, 9075, 949, 3100, 20027, 267, 855, 789, 616, 4904, 609, 513, 3819, 3114, 7848, 2966, 547, 3132, 5122, 1761, 1648, 630, 17141, 476, 272, 269, 276, 24311, 1040, 3807, 1317, 519, 15620, 610, 9075, 723, 1044, 30701, 1281, 711, 1611, 789, 616, 20027, 563, 293, 6136, 267, 972, 616, 2922, 2081, 547, 26565, 540, 971, 6757, 512, 8811, 978, 338, 269, 594, 5063, 4121, 602, 594, 651, 320, 24693, 1312, 9075, 543, 24638, 15620, 585, 9657, 269, 1924, 1256, 952, 596, 1810, 1406, 7363, 979, 547, 594, 651, 320, 267, 596, 666, 1491, 707, 1031, 15620, 543, 4666, 9075, 538, 269, 5620, 513, 1413, 1472, 269, 1358, 723, 930, 1390, 1587, 269, 2755, 596, 2461, 693, 621, 267, 32410, 547, 6467, 547, 22507, 762, 9075, 547, 1379, 707, 15409, 5907, 3457, 269, 853, 320, 1255, 543, 5851, 3493, 582, 849, 3398, 9075, 585, 9657, 563, 3528, 519, 1259, 267, 1291, 14092, 573, 630, 8364, 264, 9075, 1058, 2760, 2479, 581, 2322, 538, 519, 25087, 269, 11408, 3346, 707, 2199, 7816, 6300, 585, 1697, 12871, 267, 610, 630, 514, 2836, 326, 776, 693, 2547, 264, 596, 666, 1491, 873, 547, 707, 2199, 3595, 8257, 7829, 7622, 13818, 3653, 563, 2690, 811, 1344, 827, 9075, 543, 6007, 16162, 27760, 267, 1491, 513, 1413, 693, 2836, 326, 776, 16258, 22211, 1299, 13088, 13456, 269, 6182, 5896, 267, 713, 10039, 6140, 547, 519, 9075, 1031, 538, 1379, 2645, 267, 855, 789, 616, 13818, 543, 1058, 849, 711, 581, 2322, 538, 25087, 269, 0, 31880, 1890, 543, 6452, 5596, 281, 19331, 731, 18696, 538, 5678, 9752, 543, 4804, 454, 288, 1257, 799, 2488, 3435, 547, 519, 1966, 540, 538, 3147, 340, 20874, 4611, 689, 606, 8561, 593, 21711, 269, 898, 5267, 602, 519, 11808, 540, 3666, 5673, 2390, 513, 3152, 1620, 540, 15334, 543, 540, 519, 5107, 540, 3444, 268, 1782, 340, 2065, 3310, 267, 9836, 6044, 543, 519, 15494, 540, 6959, 563, 1432, 1004, 616, 6031, 910, 3503, 513, 2689, 454, 2171, 10093, 1405, 1336, 1022, 8039, 538, 519, 8912, 4025, 563, 6124, 543, 6196, 538, 5678, 9752, 454, 763, 1559, 17738, 543, 10613, 454, 4002, 5822, 5678, 4515, 11351, 454, 1556, 824, 6810, 711, 3254, 454, 8448, 21820, 910, 7348, 782, 454, 3147, 5596, 2238, 4359, 1377, 782, 2684, 2158, 4019, 1935, 8301, 268, 7394, 2912, 2723, 532, 783, 2596, 4098, 1377, 2623, 19636, 3848, 4928, 533, 573, 6265, 4928, 20793, 5042, 2792, 1576, 3444, 268, 1782, 340, 2065, 2686, 2620, 15494, 546, 757, 1020, 1253, 25344, 2500, 11168, 2296, 1383, 25768, 5955, 21711, 6154, 978, 1501, 3804, 6103, 7930, 8239, 1368, 720, 1368, 2065, 8621, 1067, 569, 2093, 7409, 1438, 13779, 5872, 954, 331, 4833, 13591, 1377, 1702, 1893, 11601, 1893, 1565, 1893, 1982, 1893, 3450, 1893, 4483, 10409, 16169, 2326, 2495, 19251, 7752, 800, 1395, 565, 532, 783, 5065, 10529, 2067, 683, 17232, 807, 5711, 3977, 13093, 2438, 2259, 840, 614, 924, 5773, 12332, 2618, 565, 3907, 2065, 3652, 543, 2609, 2034, 1893, 5822, 5678, 21733, 9974, 3510, 1983, 20793, 11601, 20793, 4928, 20793, 16169, 20793, 6044, 20793, 6267, 20793, 1565, 20793, 15334, 20793, 1982, 20793, 1053, 20793, 3610, 20793, 3450, 20793, 3722, 290, 270, 296, 1914, 565, 3907, 2065, 3280, 1975, 836, 1501, 5053, 3717, 1808, 2497, 3077, 1893, 6026, 512 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 873, 2635, 269, 1358, 2030, 5452, 267, 6992, 1125, 543, 11125, 622, 7031, 543, 28433, 16131, 602, 1450, 873, 547, 3035, 5021, 6556, 269, 2368, 25210, 949, 849, 4603, 609, 1007, 2010, 540, 6079, 610, 5499, 3395, 2409, 563, 1432, 568, 606, 4702, 2816, 888, 25811, 1359, 6009, 281, 7177, 5107, 4125, 1210, 1164, 7400, 2257, 543, 2979, 547, 4194, 1950, 2042, 269, 1452, 4648, 6218, 267, 1374, 267, 1449, 543, 3888, 1949, 513, 2039, 540, 3937, 543, 1949, 269, 1358, 849, 936, 5408, 5663, 543, 5826, 3157, 269, 769, 519, 6683, 2361, 267, 1034, 8030, 20647, 538, 7344, 267, 6693, 32056, 1882, 11973, 281, 7089, 540, 1004, 2324, 538, 6683, 454, 763, 14889, 302, 32245, 1239, 593, 519, 2671, 540, 519, 4074, 3196, 2324, 538, 6683, 563, 1692, 568, 6694, 7694, 3989, 888, 10387, 7877, 540, 1022, 1826, 568, 3067, 1881, 607, 519, 1297, 540, 1004, 540, 2324, 2085, 945, 616, 7722, 538, 1022, 2534, 547, 3132, 5370, 610, 1683, 2533, 585, 2628, 610, 7443, 269, 901, 2882, 1346, 8362, 2324, 282, 593, 10151, 9000, 689, 513, 2816, 610, 538, 1776, 2324, 6066, 11460, 563, 1692, 1281, 6917, 4346, 1860, 1514, 10304, 888, 763, 8375, 6694, 21045, 3361, 676, 2810, 6694, 2504, 543, 7607, 11148, 547, 2087, 1514, 10304, 267, 3226, 538, 6917, 2127, 269, 634, 2713, 3044, 540, 6917, 13999, 14380, 543, 789, 1376, 10438, 14312, 2732, 1519, 5798, 267, 5144, 267, 575, 31649, 543, 5613, 269, 1358, 1291, 513, 6899, 1272, 2348, 782, 2413, 29319, 12544, 1732, 2777, 267, 5179, 268, 12860, 267, 5925, 267, 8613, 543, 946, 540, 1732, 9660, 563, 1432, 568, 519, 1909, 540, 6683, 538, 519, 4346, 888, 13070, 3472, 1116, 5823, 4249, 513, 7580, 1909, 538, 519, 1184, 540, 2804, 1646, 540, 513, 2197, 269, 898, 814, 2907, 1500, 513, 1713, 9295, 547, 519, 2804, 13884, 540, 4359, 2477, 543, 922, 1909, 538, 519, 2804, 1646, 540, 1447, 2919, 2477, 568, 540, 4105, 2956, 269, 5084, 23615, 2316, 306, 4932, 19006, 281, 769, 824, 1913, 267, 1141, 829, 21027, 1483, 4747, 568, 6693, 1432, 568, 6683, 538, 3127, 888, 13070, 3472, 675, 2488, 7694, 3255, 585, 6917, 1004, 593, 513, 1804, 4336, 538, 896, 16467, 539, 543, 3384, 2477, 269, 898, 568, 606, 1271, 2707, 540, 17612, 269, 13575, 267, 2244, 1652, 4600, 543, 8589, 6705, 616, 7722, 538, 1875, 268, 698, 3472, 1116, 6009, 899, 27656, 2761, 338, 267, 11647, 267, 20955, 267, 16463, 267, 4496, 960, 267, 4393, 6080, 267, 543, 538, 824, 3028, 9922, 269, 1452, 6917, 4559, 11886, 8806, 2199, 7569, 269, 769, 3127, 827, 476, 3583, 269, 277, 260, 540, 2698, 11668, 3196, 5673, 2390, 6683, 563, 3963, 568, 6683, 1271, 888, 13070, 3472, 675, 568, 519, 2596, 2707, 540, 1426, 3761, 540, 782, 519, 2477, 540, 519, 1158, 1765, 31347, 896, 16467, 539, 267, 3384, 610, 1256, 2919, 269, 9603, 547, 5230, 2604, 540, 2551, 538, 896, 16467, 539, 543, 3384, 2477, 543, 922, 4028, 2333, 267, 519, 3747, 585, 1426, 568, 2810, 693, 513, 3728, 2557, 563, 1432, 4523, 547, 6694, 2504, 1282, 513, 4965, 888, 7628, 4965, 267, 4853, 2504, 666, 581, 11074, 610, 4389, 855, 6694, 2504, 5170, 607, 621, 7472, 2596, 29476, 540, 1272, 269, 4935, 621, 5170, 547, 1711, 2500, 3747, 1256, 1282, 8801, 2175, 540, 519, 4346, 563, 1432, 786, 4755, 547, 6683, 607, 513, 1267, 540, 22713, 888, 2026, 513, 1267, 540, 6694, 3356, 267, 972, 786, 581, 10137, 540, 2344, 585, 4853, 2472, 269, 21561, 538, 6694, 7607, 5012, 547, 2333, 538, 519, 4747, 540, 6917, 2551, 799, 568, 2490, 5012, 547, 811, 3747, 585, 4853, 2472, 267, 3976, 1646, 540, 4853, 5823, 563, 3963, 568, 6694, 13120, 1271, 888, 13070, 3472, 1116, 13120, 568, 2556, 585, 5355, 519, 3761, 540, 6151, 2326, 585, 519, 29436, 2861, 6080, 2523, 538, 3384, 2477, 269, 634, 17732, 540, 6694, 5370, 814, 922, 1764, 2390, 593, 4853, 2504, 543, 513, 3702, 550, 2333, 538, 519, 2489, 3902, 1377, 269, 0, 8368, 540, 12937, 912, 268, 630, 272, 264, 15722, 7321, 540, 606, 834, 302, 1537, 257, 6184, 738, 3112, 581, 1022, 834, 16498, 257, 15722, 7321, 912, 268, 630, 273, 264, 7316, 972, 568, 968, 7093, 2286, 5608, 972, 568, 849, 968, 290, 761, 6291, 892, 912, 268, 630, 274, 264, 7316, 972, 568, 968, 303, 571, 1047, 5608, 972, 568, 849, 606, 968, 11900, 738, 270, 7922, 5684, 1335, 344, 892, 912, 268, 630, 275, 264, 5274, 7186, 912, 268, 20845, 545, 12411, 525, 799, 616, 29405, 532, 519, 1875, 5336, 639, 32093, 454, 268, 6184, 738, 540, 6348, 5336, 639, 32093, 538, 16874, 603, 912, 268, 5771, 7442, 5505, 281, 1809, 519, 20845, 17246, 1228, 547, 6057, 10971, 540, 1875, 5336, 639, 32093, 912, 268, 7316, 1281, 9880, 1439, 543, 1141, 1281, 1025, 5684, 1335, 344, 2253, 888, 268, 4033, 859, 2812, 540, 519, 2349, 5684, 1335, 344, 16572, 912, 268, 9509, 5903, 540, 9474, 4785, 2464, 602, 519, 20845, 1500, 1996, 519, 1875, 5336, 639, 32093, 912, 15404, 32093, 1459, 713, 4661, 602, 519, 15163, 585, 1025, 5684, 1335, 344, 1058, 581, 2669, 607, 621, 9292, 1206, 519, 4606, 540, 476, 272, 269, 276, 5479, 12356, 563, 4407, 649, 2626, 873, 602, 912, 263, 272, 264, 15722, 7321, 540, 606, 834, 302, 1537, 257, 6184, 738, 3112, 581, 1022, 834, 16498, 257, 15722, 7321, 912, 2252, 476, 272, 269, 276, 5479, 12356, 616, 10413, 676, 519, 5711, 29405, 540, 519, 22445, 267, 1287, 519, 1530, 4788, 5375, 16572, 849, 1450, 891, 476, 272, 269, 276, 5479, 12356, 547, 30375, 29405, 602, 1268, 543, 10413, 1010, 4606, 1932, 538, 519, 16253, 563, 4517, 952, 519, 5711, 29405, 814, 1022, 2360, 267, 1287, 602, 1268, 786, 15983, 5884, 1813, 547, 519, 1225, 4513, 543, 1202, 6699, 540, 891, 476, 272, 269, 276, 5479, 12356, 563, 6944, 9009, 547, 9099, 1876, 267, 952, 2576, 568, 17400, 532, 596, 267, 1287, 7262, 4031, 1450, 596, 547, 31169, 1864, 1394, 30375, 267, 855, 789, 1810, 1405, 1450, 596, 547, 1831, 2168, 563, 263, 273, 264, 7316, 972, 568, 968, 7093, 2286, 5608, 972, 568, 849, 968, 290, 761, 6291, 892, 912, 13828, 840, 2286, 543, 9880, 979, 1688, 538, 1688, 563, 25444, 568, 4847, 547, 840, 778, 1010, 4984, 270, 728, 1108, 267, 855, 1287, 1866, 616, 849, 4628, 4847, 547, 8428, 543, 10404, 1125, 1010, 4984, 270, 728, 1108, 563, 310, 3480, 1530, 4788, 4031, 1683, 596, 609, 2407, 5191, 547, 840, 778, 707, 4984, 270, 728, 1108, 267, 799, 2501, 896, 519, 1318, 540, 15213, 540, 15215, 269, 1809, 693, 519, 1482, 942, 267, 789, 849, 1683, 2407, 5191, 547, 10404, 1125, 1022, 4984, 270, 728, 1108, 896, 519, 1318, 540, 15213, 540, 20309, 563, 263, 274, 264, 7316, 972, 568, 968, 303, 571, 1047, 5608, 972, 568, 849, 606, 968, 11900, 738, 270, 7922, 5684, 1335, 344, 892, 912, 15404, 32093, 2015, 17124, 547, 581, 519, 1655, 540, 18495, 269, 4935, 267, 789, 666, 3810, 834, 335, 571, 1047, 257, 17124, 563, 4407, 1875, 5336, 639, 32093, 3494, 17124, 547, 581, 513, 7301, 22445, 267, 945, 7166, 5215, 540, 1004, 585, 1010, 2123, 4690, 269, 4935, 267, 1875, 5336, 639, 32093, 616, 10413, 543, 1745, 14156, 2800, 539, 950, 971, 513, 1268, 568, 3810, 834, 335, 571, 2213, 257, 676, 12356, 563, 32701, 267, 519, 7262, 16712, 1062, 4628, 2636, 12356, 547, 17192, 17124, 607, 1454, 607, 789, 1616, 267, 1247, 1875, 5336, 639, 32093, 3112, 3247, 873, 689, 9299, 2358, 17124, 267, 543, 789, 723, 547, 7703, 713, 17192, 538, 519, 2012, 540, 15213, 540, 20309, 543, 1847, 593, 563, 20118, 267, 1256, 952, 12356, 3409, 789, 616, 10413, 950, 2576, 1202, 6699, 17124, 267, 1869, 789, 3112, 3247, 1875, 5336, 639, 32093, 689, 30375, 29405, 532, 17124, 269, 1358, 723, 547, 7703, 713, 29405, 543, 1847, 593, 563, 13295, 267, 9299, 2358, 17124, 568, 513, 9406, 540, 12356, 267, 1247, 29405, 532, 270, 4565, 5684, 1335, 344, 568, 519, 9406, 540, 1875, 5336, 639, 32093, 563, 11101, 267, 1510, 519, 1318, 540, 29405, 270, 4565, 5684, 1335, 344, 267, 18864, 6487, 1018, 2306, 12356, 934, 2224, 513, 1875, 5336, 639, 3916, 540, 1025, 5684, 1335, 344, 543, 1287, 6146, 1864, 563, 2690, 1383, 267, 950, 519, 20845, 1225, 4513, 1875, 5336, 639, 32093, 267, 18613, 873, 609, 5243, 543, 1810, 12399, 267, 1289, 873, 2083, 628, 543, 519, 10782, 540, 2831, 543, 10782, 540, 7068, 267, 610, 1289, 873, 536, 770, 731, 267, 1287, 621, 568, 9444, 29405, 6862, 1025, 5684, 1335, 344, 585, 12356, 269, 1809, 1175, 4952, 952, 513, 1875, 5336, 639, 3916, 1225, 4513, 17124, 610, 20998, 1864, 609, 606, 3662, 538, 606, 9099, 2197, 267, 1287, 1018, 1131, 12356, 798, 609, 1864, 888, 11997, 267, 29405, 532, 270, 5090, 10306, 532, 616, 4909, 2694, 540, 5717, 543, 9840, 267, 1175, 899, 9299, 2358, 2576, 568, 513, 4909, 1318, 563, 263, 275, 264, 5274, 7186, 912, 2005, 568, 3339, 2687, 547, 1480, 2470, 602, 1004, 949, 1831, 14220, 1282, 5717, 1299, 9840, 1813, 547, 519, 3017, 540, 8369, 269, 1656, 789, 946, 10792, 1913, 538, 10845, 4724, 741, 17837, 269, 4935, 267, 7262, 1876, 568, 1759, 4010, 2687, 547, 713, 1480, 2470, 563, 10214, 519, 5856, 540, 519, 20845, 630, 6518, 568, 17124, 5128, 2687, 547, 1875, 5336, 639, 32093, 264, 4951, 713, 3169, 1480, 2470, 269, 1879, 519, 17837, 4769, 1405, 3398, 519, 16322, 11856, 540, 17124, 267, 1287, 519, 5856, 540, 519, 20845, 2968, 14220, 269, 1656, 1287, 646, 3323, 17400, 532, 873, 693, 1896, 4025, 538, 20845, 269, 1656, 646, 3323, 29405, 532, 873, 676, 1226, 908, 873, 547, 519, 5213, 4486, 267, 17268, 543, 623, 12127, 267, 519, 10782, 540, 2831, 543, 519, 10782, 540, 7068, 267, 543, 585, 1373, 2083, 20321, 267, 543, 10912, 873, 4408, 630, 3697, 26512, 808, 22844, 264, 543, 968, 30807, 731, 892, 630, 288, 32106, 281, 12168, 366, 14180, 17262, 14534, 264, 543, 535, 8962, 543, 18555, 543, 9420, 543, 918, 2378, 597, 3092, 10756, 15404, 32093, 3409, 16589, 814, 10143, 631, 3036, 28940, 563, 10190, 519, 2243, 568, 281, 968, 3963, 1256, 519, 968, 19667, 710, 16589, 892, 568, 711, 2111, 547, 1852, 1010, 10845, 267, 543, 646, 1225, 4513, 543, 28407, 519, 17837, 286, 1215, 1287, 666, 649, 2503, 513, 968, 7538, 1480, 1373, 892, 547, 723, 2407, 1852, 936, 1010, 10845, 267, 543, 547, 1397, 968, 321, 21392, 5651, 1023, 892, 982, 1256, 10143, 16589, 18313, 11101, 267, 713, 17400, 532, 543, 6057, 540, 519, 17837, 538, 519, 20845, 568, 849, 11550, 29996, 602, 972, 6818, 1100, 16589, 538, 519, 30723, 267, 543, 621, 729, 17124, 5128, 267, 945, 729, 1818, 519, 20845, 593, 1010, 1378, 269, 1656, 2094, 17124, 729, 1152, 513, 1480, 267, 3976, 646, 4951, 1480, 6959, 538, 1106, 540, 4742, 14220, 543, 17400, 532, 543, 705, 6748, 1010, 17837, 563, 6546, 568, 1946, 267, 5375, 1876, 568, 11207, 3501, 2687, 547, 519, 7186, 540, 1480, 7919, 267, 543, 621, 3112, 581, 4957, 585, 8383, 908, 519, 1025, 5684, 1335, 344, 4031, 540, 5771, 269, 634, 1025, 5684, 1335, 344, 4031, 540, 5771, 723, 2042, 267, 899, 912, 268, 1358, 616, 21678, 563, 268, 1358, 616, 835, 21758, 454, 268, 1358, 616, 1996, 5126, 563, 268, 5015, 267, 789, 979, 11207, 1996, 1480, 2470, 563, 268, 1358, 616, 519, 840, 15479, 832, 269, 9099, 2829, 2417, 946, 891, 1025, 5684, 1335, 344, 4031, 538, 1931, 547, 6146, 20231, 519, 595, 6020, 12087, 26113, 1996, 5771, 269, 769, 9099, 2477, 267, 596, 3112, 15476, 513, 2582, 1433, 610, 4633, 267, 799, 10404, 3278, 5771, 267, 543, 789, 5612, 16620, 621, 547, 581, 1025, 5684, 1335, 344, 267, 543, 1287, 789, 6146, 519, 1268, 563, 304, 584, 23307, 12411, 525, 799, 616, 29405, 532, 519, 1875, 5336, 639, 32093, 454, 263, 304, 584, 534, 476, 6924, 281, 1015, 268, 1724, 264, 1261, 539, 711, 519, 1826, 540, 16339, 27809, 2367, 16427, 4712, 609, 522, 23411, 267, 589, 521, 1633, 19907, 267, 2469, 827, 609, 1608, 4379, 625, 267, 630, 295, 629, 527, 1302, 264, 12042, 1359, 630, 718, 264, 1434, 267, 1098, 326, 7675, 3564, 23451, 267, 2620, 538, 5609, 267, 15329, 550, 630, 663, 16970, 1070, 268, 609, 782, 602, 267, 3490, 23899, 630, 30807, 731, 1070, 8894, 763, 20845, 1031, 782, 891, 3983, 1913, 585, 9546, 573 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 946, 547, 1832, 707, 6174, 2922, 689, 21190, 912, 272, 269, 5620, 606, 4550, 7308, 1111, 1062, 563, 13014, 2386, 596, 723, 606, 4550, 7308, 1111, 1062, 8704, 593, 707, 1286, 269, 1403, 707, 1286, 568, 7745, 883, 267, 713, 786, 2569, 519, 4960, 602, 2576, 786, 581, 2111, 547, 2744, 1569, 547, 707, 1286, 610, 1022, 1344, 602, 789, 666, 946, 547, 11360, 883, 707, 6174, 563, 273, 269, 7827, 18538, 4749, 563, 10673, 1406, 1832, 519, 1482, 10957, 585, 707, 1286, 602, 596, 798, 585, 824, 1919, 899, 707, 2780, 269, 27725, 619, 666, 946, 713, 1344, 547, 2119, 543, 11360, 883, 707, 6174, 269, 7827, 707, 10957, 4749, 547, 2057, 713, 689, 8345, 563, 274, 269, 22352, 543, 2226, 563, 13014, 2386, 602, 596, 9337, 543, 2226, 707, 4550, 7308, 1111, 1062, 269, 901, 786, 1450, 596, 547, 1205, 7759, 540, 1022, 12961, 21190, 949, 2119, 547, 17908, 269, 898, 786, 849, 2327, 602, 596, 723, 519, 1034, 909, 3562, 15082, 3354, 2934, 2139, 563, 275, 269, 3680, 1857, 15261, 19712, 563, 2252, 596, 946, 1857, 15261, 19712, 267, 2057, 3257, 865, 1247, 707, 6174, 568, 4448, 547, 519, 4950, 269, 27725, 619, 666, 2744, 1569, 547, 707, 1286, 676, 1210, 1857, 15261, 19712, 543, 12394, 547, 1921, 547, 707, 1286, 779, 3060, 269, 901, 1259, 789, 666, 1569, 6213, 1344, 593, 707, 1286, 269, 1879, 1210, 1857, 15261, 19712, 267, 621, 568, 1271, 547, 946, 513, 19504, 4276, 269, 901, 786, 17278, 1022, 1239, 602, 596, 6494, 936, 519, 4950, 267, 1818, 621, 7543, 585, 21190, 547, 1569, 621, 563, 8505, 558, 12067, 6880, 3354, 568, 1271, 1317, 621, 11151, 21190, 689, 11543, 1569, 547, 707, 1286, 779, 1344, 269, 1703, 616, 1082, 2081, 602, 21190, 666, 1205, 883, 707, 1286, 267, 855, 972, 616, 849, 1082, 6880, 3354, 4388, 596, 666, 946, 547, 2149, 707, 6174, 269, 0, 763, 12316, 1893, 540, 968, 299, 525, 16700, 7536, 1432, 2306, 8841, 18018, 334, 779, 30832, 1782, 3209, 1390, 568, 1010, 1274, 585, 519, 27325, 540, 519, 8303, 1014, 8265, 454, 3528, 12448, 26036, 8124, 454, 763, 2140, 540, 6424, 13852, 657, 779, 1007, 1433, 827, 8841, 18018, 334, 779, 968, 299, 525, 16700, 2946, 4599, 956, 5608, 968, 763, 23397, 540, 519, 11416, 5608, 568, 513, 20982, 1008, 6327, 1107, 713, 729, 267, 1310, 782, 267, 519, 2540, 540, 28726, 267, 24729, 560, 1195, 543, 9253, 6807, 269, 1809, 18018, 334, 779, 568, 835, 540, 519, 13074, 543, 4102, 269, 3733, 5299, 540, 519, 31919, 8144, 22179, 538, 693, 1175, 896, 513, 4893, 334, 269, 13852, 657, 8214, 1194, 519, 1433, 15029, 646, 729, 9788, 1970, 609, 513, 4411, 1282, 513, 30382, 538, 519, 32595, 267, 544, 2718, 1359, 593, 585, 513, 1906, 3063, 2395, 547, 1205, 547, 519, 1439, 540, 519, 9661, 269, 1403, 596, 1810, 1406, 723, 513, 536, 719, 540, 2770, 610, 513, 1032, 547, 22302, 267, 596, 1223, 3079, 1935, 519, 1433, 899, 513, 4216, 1606, 564, 540, 23861, 338, 610, 513, 28923, 3126, 281, 28675, 268, 15105, 267, 954, 4944, 619, 539, 609, 5712, 540, 8086, 563, 1607, 568, 7168, 1454, 875, 18018, 334, 3893, 593, 609, 519, 2816, 540, 1603, 621, 281, 646, 3323, 960, 538, 5437, 476, 7277, 276, 543, 6368, 3370, 621, 538, 476, 5908, 273, 267, 8840, 1055, 2059, 519, 1259, 585, 513, 4838, 538, 476, 7277, 279, 543, 513, 19420, 546, 685, 18863, 520, 538, 476, 6977, 272, 269, 769, 713, 2631, 968, 299, 525, 16700, 2946, 4599, 956, 892, 568, 711, 1175, 513, 1433, 827, 1686, 267, 513, 27789, 2239, 540, 476, 866, 628, 10601, 5333, 3710, 1472, 519, 1272, 540, 606, 23012, 20903, 267, 14639, 4406, 329, 6756, 269, 898, 568, 513, 1433, 1500, 676, 1686, 563, 289, 749, 657, 779, 2272, 540, 875, 621, 3357, 547, 581, 2854, 543, 3370, 267, 799, 3217, 909, 1454, 540, 1010, 1433, 267, 568, 575, 1601, 27251, 543, 19278, 543, 568, 4502, 519, 3382, 3902, 4805, 269, 18018, 334, 5206, 1034, 540, 968, 299, 525, 16700, 2946, 4599, 956, 892, 3544, 5333, 267, 593, 519, 6532, 540, 2871, 1716, 8124, 267, 1141, 18018, 334, 8452, 1101, 607, 513, 21345, 267, 543, 1287, 607, 513, 1582, 21553, 12723, 24815, 689, 519, 554, 730, 5822, 7276, 540, 13845, 565, 2946, 517, 8633, 269, 1635, 1631, 267, 4352, 513, 2797, 16080, 3187, 538, 5333, 267, 18018, 334, 1185, 513, 2342, 17253, 10639, 607, 513, 1390, 5856, 269, 901, 729, 519, 8783, 2601, 1946, 968, 299, 525, 16700, 2946, 4599, 956, 892, 729, 2111, 547, 4971, 971, 513, 5458, 4434, 689, 922, 17404, 538, 29761, 267, 15751, 30086, 549, 1460, 267, 4171, 1378, 1650, 607, 513, 8959, 4081, 543, 669, 22083, 568, 607, 8903, 607, 1022, 1394, 3613, 800, 547, 581, 1336, 538, 18018, 334, 779, 3209, 269, 18018, 334, 729, 6976, 476, 9032, 11899, 540, 4154, 1107, 12777, 811, 982, 1010, 1378, 2597, 563, 3719, 13852, 657, 568, 849, 513, 5386, 10404, 543, 4116, 945, 3217, 721, 1394, 547, 519, 1257, 609, 513, 1769, 5905, 855, 849, 18837, 8856, 269, 2290, 540, 519, 1034, 8903, 11271, 568, 1010, 3391, 547, 18018, 334, 779, 946, 540, 519, 8677, 543, 27861, 540, 3943, 630, 663, 5824, 1040, 1261, 4547, 1394, 2025, 610, 10859, 16519, 326, 13516, 1913, 267, 543, 11827, 1866, 269, 4107, 11932, 646, 5795, 5639, 547, 519, 3020, 1893, 540, 519, 8303, 1014, 8265, 267, 9870, 621, 547, 519, 1377, 540, 6965, 563, 763, 9668, 1063, 519, 2854, 2262, 543, 968, 684, 334, 24810, 892, 9275, 3943, 568, 9962, 982, 538, 1034, 4654, 267, 2523, 2296, 267, 865, 18018, 334, 779, 946, 540, 519, 968, 331, 4833, 540, 519, 1004, 892, 568, 711, 1152, 606, 5499, 1900, 4464, 538, 3943, 5339, 2511, 855, 849, 606, 16175, 2797, 3948, 269, 18018, 334, 779, 946, 540, 8265, 1893, 729, 711, 519, 1482, 3364, 607, 28726, 779, 1419, 19121, 2358, 32649, 540, 519, 2539, 11665, 525, 282, 585, 4896, 609, 606, 1274, 585, 3943, 267, 18018, 334, 779, 946, 540, 1913, 568, 3079, 3833, 538, 29323, 762, 689, 519, 1390, 30908, 540, 1010, 4798, 540, 2648, 267, 2669, 543, 25863, 563, 288, 6305, 1383, 568, 950, 18018, 334, 6257, 519, 4090, 950, 513, 24963, 2712, 24739, 20555, 1010, 5182, 1324, 7015, 609, 521, 690, 4445, 3694, 11324, 4240, 689, 519, 11432, 538, 519, 24006, 10603, 32490, 25052, 269, 1261, 17990, 1010, 7015, 609, 519, 8360, 968, 3712, 548, 3562, 328, 3331, 356, 320, 546, 753, 682, 535, 639, 559, 892, 1107, 10199, 12261, 607, 968, 22496, 602, 538, 707, 979, 321, 6100, 1280, 13852, 657, 713, 568, 835, 540, 519, 1034, 3001, 8090, 538, 519, 1433, 269, 1261, 568, 711, 4636, 281, 538, 713, 5618, 8755, 540, 1483, 8303, 27325, 267, 18018, 334, 19306, 519, 3020, 32297, 540, 7015, 569, 2648, 693, 519, 5377, 540, 2486, 563, 2108, 299, 525, 16700, 2946, 4599, 956, 892, 568, 1655, 1634, 891, 2395, 689, 519, 2366, 14939, 7574, 14624, 540, 519, 1650, 267, 519, 1034, 2487, 588, 18732, 21651, 15867, 933, 630, 335, 1112, 3293, 1040, 769, 1249, 267, 538, 922, 946, 540, 1893, 267, 621, 568, 519, 24888, 540, 27497, 1399, 4207, 9089, 899, 13056, 25771, 5633, 2871, 11726, 928, 779, 968, 298, 858, 324, 918, 858, 324, 5915, 664, 892, 630, 1220, 275, 264, 610, 8874, 971, 607, 4569, 24586, 918, 27591, 341, 6308, 779, 968, 17442, 670, 12578, 892, 630, 1960, 276, 1070, 799, 10994, 1272, 538, 519, 7333, 12340, 1132, 267, 519, 7745, 1016, 31755, 3544, 8303, 543, 519, 824, 2101, 3943, 4872, 1141, 519, 4633, 540, 2025, 8303, 814, 1044, 8719, 676, 513, 27325, 799, 18664, 4900, 689, 12428, 543, 2296, 2943, 20475, 513, 19918, 3943, 1995, 563, 1607, 568, 1946, 543, 875, 267, 585, 782, 922, 803, 663, 1359, 13602, 543, 28005, 517, 2358, 267, 968, 299, 525, 16700, 2946, 4599, 956, 892, 1522, 581, 519, 6574, 3209, 540, 519, 476, 866, 628, 2540, 269, 898, 568, 835, 540, 519, 1906, 5929, 1568, 540, 3332, 602, 2729, 909, 547, 267, 543, 3006, 20489, 267, 922, 10639, 269, 898, 568, 267, 540, 1576, 267, 849, 513, 2527, 540, 32475, 269, 2368, 540, 891, 616, 2797, 543, 10952, 1107, 18018, 334, 2501, 2066, 607, 513, 1486, 334, 4211, 2174, 684, 626, 267, 513, 7826, 9070, 663, 626, 267, 513, 1480, 626, 267, 543, 3006, 782, 1614, 693, 2899, 269, 3807, 607, 30137, 568, 519, 1259, 519, 1603, 666, 1654, 518, 689, 544, 1177, 330, 880, 5283, 617, 18769, 547, 5339, 14996, 775, 593, 519, 1482, 2985, 269, 1809, 594, 666, 1589, 540, 1100, 1732, 3391, 883, 519, 2295, 540, 713, 8126, 1194, 3209, 982, 6424, 13852, 657, 779, 695, 4319, 323, 267, 18854, 1399, 543, 4121, 1433, 563, 15862, 281, 20176, 5006, 648, 14635, 454, 4263, 513, 3046, 13069, 826, 6735, 267, 513, 18147, 27697, 15109, 513, 10715, 540, 5779, 609, 29982, 454, 303, 663, 2438, 17003, 1750, 13196, 2813, 513, 1007, 1362, 540, 9520, 3297, 13063, 454, 5278, 15076, 945, 4682, 7532, 5185, 23827, 725, 269, 11524, 941, 1558, 609, 11680, 540, 7401, 543, 11587 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3032, 659, 558, 2125, 3034, 22746, 535, 4545, 3814, 8941, 540, 5728, 13999, 2147, 547, 2038, 10271, 798, 711, 5330, 609, 519, 1699, 4013, 1686, 540, 667, 778, 879, 269, 1306, 7137, 17754, 12211, 267, 519, 7826, 20577, 972, 711, 1152, 10150, 4776, 22460, 2126, 630, 5976, 14470, 543, 6739, 22063, 1070, 855, 941, 15868, 547, 16175, 8661, 7136, 538, 513, 32724, 602, 1185, 1044, 3710, 585, 741, 946, 269, 4340, 547, 7137, 17754, 267, 713, 32724, 1223, 968, 3835, 827, 476, 8517, 1004, 267, 855, 1419, 811, 982, 513, 8536, 22125, 538, 1848, 7137, 17754, 6257, 538, 1469, 519, 7718, 540, 519, 32724, 267, 799, 1185, 5216, 9486, 543, 513, 6989, 602, 729, 968, 3249, 2685, 25509, 892, 609, 513, 968, 16591, 7779, 6989, 32432, 1848, 7137, 17754, 779, 2272, 5170, 912, 763, 1164, 26749, 729, 593, 513, 3760, 3670, 3952, 4009, 519, 9184, 1716, 12386, 267, 21243, 693, 1101, 609, 4496, 689, 1426, 2389, 1231, 267, 1185, 1044, 8719, 693, 14914, 476, 3707, 275, 676, 1776, 835, 267, 1500, 540, 7376, 1227, 20077, 15090, 2914, 797, 267, 3297, 799, 513, 16961, 32267, 2185, 3952, 1164, 267, 4843, 676, 513, 28228, 333, 3122, 30798, 543, 1166, 1678, 539, 593, 782, 5011, 676, 1614, 4796, 601, 629, 571, 269, 2201, 519, 1318, 519, 3841, 775, 3349, 6039, 607, 606, 3063, 26749, 267, 543, 593, 519, 2451, 972, 729, 513, 11745, 1756, 3177, 676, 519, 25760, 540, 667, 778, 879, 269, 589, 5386, 18533, 540, 519, 7910, 1185, 1044, 2366, 676, 519, 2212, 540, 519, 25554, 1807, 2103, 538, 22506, 5460, 531, 538, 519, 1019, 665, 3150, 540, 645, 3757, 6308, 267, 693, 14914, 476, 3707, 274, 563, 4407, 7137, 17754, 779, 6609, 5170, 538, 713, 18916, 267, 713, 568, 6190, 547, 1118, 519, 1448, 1934, 827, 2605, 269, 590, 9195, 753, 7288, 779, 968, 5674, 1168, 5893, 21981, 3034, 1103, 606, 3768, 730, 3561, 13886, 968, 293, 1430, 19839, 334, 779, 2622, 2782, 4083, 1234, 3712, 27928, 2223, 799, 5526, 547, 581, 519, 4493, 585, 519, 476, 2735, 276, 2376, 827, 2605, 269, 590, 9195, 753, 7288, 779, 2833, 267, 513, 17308, 22281, 338, 912, 2108, 8005, 1197, 729, 8572, 547, 960, 267, 585, 8726, 2601, 267, 1185, 547, 5884, 267, 543, 5884, 789, 1705, 2560, 538, 3154, 20830, 269, 769, 476, 3707, 273, 4805, 827, 476, 4968, 14470, 20577, 941, 575, 21724, 3034, 4322, 20577, 3100, 547, 723, 1044, 2864, 6427, 633, 538, 741, 2025, 2085, 269, 2552, 2784, 1112, 532, 7608, 5013, 827, 667, 778, 879, 267, 741, 2984, 3589, 2406, 723, 4986, 547, 1394, 873, 909, 563, 19950, 5944, 267, 519, 1482, 7826, 12353, 602, 3370, 2605, 269, 590, 9195, 753, 7288, 779, 535, 4545, 3814, 2272, 729, 849, 835, 540, 519, 1101, 1974, 25025, 9170, 547, 16616, 519, 667, 778, 879, 3154, 12068, 1650, 607, 513, 7242, 269, 769, 513, 476, 4198, 280, 3390, 540, 3776, 10732, 6250, 3218, 267, 513, 4484, 676, 5467, 15537, 623, 5793, 7902, 538, 799, 646, 15527, 547, 513, 3105, 2376, 827, 667, 778, 879, 912, 1103, 1840, 267, 7301, 6898, 2408, 538, 519, 623, 761, 3832, 1777, 2376, 267, 971, 607, 519, 4704, 547, 3154, 20830, 693, 3786, 667, 778, 879, 269, 594, 729, 538, 667, 778, 879, 585, 476, 1704, 3275, 1310, 519, 2112, 267, 607, 513, 772, 2529, 269, 2782, 4972, 30374, 267, 543, 666, 1533, 602, 972, 729, 1100, 3154, 12068, 693, 667, 778, 879, 269, 1548, 729, 3254, 547, 8436, 543, 8289, 572, 619, 972, 543, 20093, 821, 3585, 4330, 607, 513, 3154, 12068, 267, 729, 513, 1212, 332, 2218, 269, 7439, 729, 972, 513, 3154, 12068, 538, 1022, 540, 519, 824, 5834, 13122, 538, 5125, 269, 1284, 941, 5143, 602, 972, 729, 513, 3154, 12068, 693, 26401, 267, 855, 2094, 602, 729, 538, 519, 6739, 7997, 540, 13567, 267, 649, 941, 711, 15868, 547, 8495, 267, 2094, 519, 28592, 1131, 711, 11863, 621, 563, 6097, 547, 513, 2027, 3390, 540, 519, 3703, 4108, 1686, 1974, 673, 267, 2991, 519, 11135, 630, 6518, 729, 7361, 13991, 547, 667, 778, 879, 1070, 519, 4140, 324, 334, 268, 4785, 8136, 3765, 16932, 539, 519, 4583, 8666, 540, 519, 3786, 779, 968, 326, 553, 12068, 892, 912, 7212, 713, 4605, 267, 3144, 593, 4989, 476, 1789, 676, 570, 270, 275, 28788, 2284, 2349, 879, 267, 568, 1309, 1632, 539, 607, 519, 3154, 20830, 1373, 8947, 676, 519, 1530, 22770, 8136, 17199, 2676, 16269, 616, 538, 1249, 519, 632, 4186, 8727, 11623, 585, 519, 7802, 6569, 689, 519, 4666, 4092, 693, 519, 3665, 7262, 1439, 540, 519, 1212, 332, 566, 2679, 563, 6097, 547, 2991, 519, 11135, 267, 891, 968, 8576, 6438, 20830, 941, 1031, 547, 21149, 519, 7802, 267, 799, 1185, 1044, 6569, 689, 519, 24767, 525, 267, 865, 602, 621, 1223, 581, 9108, 8120, 547, 519, 7802, 1244, 582, 538, 519, 11889, 3625, 585, 556, 268, 22568, 3034, 1432, 713, 1797, 568, 602, 835, 540, 519, 1079, 11623, 10645, 676, 2363, 1168, 5893, 547, 723, 1044, 519, 3154, 12068, 1141, 14586, 941, 13401, 729, 2965, 513, 9744, 602, 1031, 19826, 728, 3154, 547, 6146, 27193, 639, 1606, 7331, 532, 561, 823, 538, 519, 7802, 540, 4666, 14586, 269, 2334, 568, 267, 713, 3154, 12068, 729, 1031, 547, 4688, 2729, 563, 5475, 519, 11135, 1281, 2303, 602, 513, 4630, 20141, 3154, 12068, 729, 3710, 538, 667, 778, 879, 281, 968, 763, 4013, 3332, 593, 9042, 538, 519, 9754, 6300, 2829, 602, 519, 3154, 12068, 729, 2760, 1031, 585, 922, 5497, 1909, 855, 1152, 607, 513, 17643, 4055, 1848, 901, 3409, 568, 3592, 993, 6748, 269, 29431, 1168, 5893, 1310, 2363, 1168, 5893, 28197, 17680, 6137, 267, 22378, 333, 995, 8941, 540, 17608, 14586, 19480, 538, 547, 1491, 513, 17643, 267, 1152, 547, 1265, 8914, 3154, 26311, 856, 540, 519, 17643, 21650, 563, 3086, 519, 968, 334, 24810, 3332, 892, 6645, 721, 602, 519, 6587, 729, 2731, 3020, 269, 5502, 540, 19480, 883, 513, 17643, 4055, 547, 581, 575, 21724, 267, 649, 616, 1631, 5143, 789, 22283, 883, 513, 3154, 12068, 1152, 547, 581, 1397, 1229, 2336, 1103, 19220, 540, 519, 2363, 1168, 5893, 6589, 649, 723, 22281, 539, 1934, 267, 667, 778, 879, 814, 1044, 13166, 608, 528, 322, 2213, 540, 519, 3154, 12068, 27313, 269, 9925, 17363, 654, 625, 5460, 531, 267, 519, 1340, 539, 25433, 540, 16957, 608, 268, 2108, 301, 1794, 529, 2223, 5206, 538, 513, 4484, 3370, 538, 476, 3192, 276, 281, 968, 10303, 972, 941, 1100, 608, 3410, 1588, 13122, 593, 4436, 3037, 519, 29724, 268, 2108, 301, 1794, 529, 892, 616, 1210, 713, 607, 6169, 602, 891, 10963, 1705, 711, 4755, 543, 2417, 3467, 8858, 22168, 689, 4436, 23267, 4211, 10102, 945, 723, 2760, 2938, 2527, 7721, 3410, 1588, 3034, 3080, 540, 519, 1034, 7986, 14195, 12206, 267, 3220, 269, 9410, 645, 4592, 345, 520, 540, 5125, 779, 20380, 4659, 540, 12634, 3778, 630, 514, 22540, 1070, 7150, 538, 513, 4484, 3370, 538, 476, 3422, 271, 538, 519, 4436, 12353, 12603, 14858, 527, 912, 10468, 2416, 538, 667, 778, 879, 6862, 538, 19161, 523, 5174, 1564, 523, 6862, 538, 645, 1075, 1156, 342, 12245, 941, 9925, 338, 610, 824, 14586, 575, 21724, 269, 634, 3154, 12068, 538, 667, 778, 879, 729, 2760, 7357, 8737, 610, 2322, 968, 20041, 5106, 1848, 25569, 338, 540, 5215, 540, 14586, 945, 829, 1639, 538, 667, 778, 879, 543, 824, 5834, 13122, 538, 519, 6196, 25415, 1496, 7474, 568, 267, 5125, 538, 922, 10665, 540, 476, 4350, 278, 316, 941, 9601, 267, 1657, 782, 267, 540, 21472, 31978, 545, 543, 11865, 532, 2175, 281, 2687, 547, 4013, 9399, 7194, 267, 1282, 519, 12964, 3275, 689, 5147, 476, 3707, 273, 998, 4873, 476, 3707, 274, 4805, 267, 476, 8099, 267, 279, 1321, 7606, 5747, 540, 2068, 543, 14000, 538, 782, 540, 519, 5834, 13122, 540, 519, 25415, 269, 3143, 18019, 14787, 1869, 733, 1742, 602, 4896, 729, 2479, 7166, 538, 513, 667, 778, 879, 968, 326, 553, 12068, 3034, 9213, 519, 1152, 6967, 15539, 593, 713, 3390, 568, 1063, 1346, 945, 25077, 602, 1100, 4630, 20141, 3154, 12068, 2479, 11478, 538, 519, 3786, 267, 543, 1346, 945, 8044, 602, 972, 729, 513, 4630, 20141, 3154, 12068, 538, 667, 778, 879, 267, 855, 621, 729, 2760, 2965, 1031, 547, 6146, 4896, 563, 3080, 1131, 1589, 602, 782, 540, 713, 2963, 1131, 16578, 519, 968, 1410, 3410, 1588, 1235, 892, 547, 16153, 602, 519, 14469, 1235, 941, 1318, 782, 2059, 269, 1809, 602, 3085, 1406, 3100, 547, 581, 519, 2013, 269, 4107, 540, 873, 3274, 11716, 519, 14469, 1235, 267, 543, 20549, 547, 1865, 519, 3390, 609, 873, 610, 547, 15597, 7521, 873, 269, 901, 538, 19220, 540, 519, 1249, 602, 519, 14469, 626, 2013, 8952, 3478, 6793, 609, 1142, 1007, 3787, 540, 2963, 267, 543, 519, 608, 3410, 1588, 626, 2013, 4991, 2479, 21260, 269, 1879, 513, 1268, 3957, 1744, 8811, 1228, 327, 11329, 856, 538, 513, 4484, 547, 519, 24282, 3557, 5441, 2875, 1957, 602, 519, 608, 3410, 1588, 626, 2013, 8952, 4657, 267, 513, 632, 534, 540, 519, 1153, 267, 20574, 12736, 8725, 267, 15527, 630, 19688, 476, 1704, 267, 476, 2735, 280, 264, 609, 513, 1025, 3563, 532, 4323, 912, 296, 6557, 12922, 602, 519, 1152, 3364, 602, 1185, 1044, 4957, 568, 519, 2470, 540, 1744, 8811, 1228, 327, 779, 22293, 269, 634, 11984, 1063, 519, 5834, 13122, 267, 971, 607, 667, 778, 879, 267, 543, 519, 2669, 13122, 267, 971, 607, 590, 984, 756, 528, 267, 568, 1631, 6956, 1256, 676, 519, 3897, 332, 652, 1851, 721, 267, 621, 1131, 3100, 269, 1717, 267, 24076, 538, 519, 14195, 3332, 602, 594, 917, 568, 972, 1022, 3409, 602, 972, 941, 3154, 20830, 693, 667, 778, 879, 269, 769, 1250, 1382, 594, 723, 2760, 11402, 1022, 2363, 1168, 5893, 547, 621, 563, 1607, 267, 538, 519, 1439, 267, 568, 519, 2990, 547, 799, 31249, 21071, 538, 519, 14195, 1650, 616, 2348, 547, 18992, 563, 1103, 19220, 540, 1082, 968, 5674, 1168, 5893, 892, 6589, 10503, 667, 778, 879, 968, 326, 553, 20830, 2223, 789, 1631, 7682, 602, 1100, 971, 6589, 2479, 11478, 2336, 1103, 1198, 267, 789, 1631, 598, 1027, 324, 602, 519, 14469, 1235, 941, 11613, 1318, 782, 2059, 267, 855, 789, 740, 600, 14688, 20549, 547, 2285, 31280, 1235, 1022, 5491, 585, 713, 269, 5502, 789, 4782, 547, 27642, 602, 519, 14469, 626, 2990, 267, 799, 814, 1044, 8810, 267, 729, 2731, 741, 2990, 782, 2059, 563, 22709, 918, 3739, 540, 4436, 29277, 619, 454, 1607, 568, 711, 547, 2161, 267, 540, 1576, 267, 602, 32012, 885, 941, 711, 8149, 693, 667, 778, 879, 269, 2368, 971, 32012, 885, 723, 2907, 1044, 4988, 538, 519, 1101, 3296, 540, 1250, 27412, 267, 667, 778, 879, 281, 18712, 543, 19088, 269, 1717, 267, 824, 667, 778, 879, 32012, 885, 723, 3622, 1044, 16053, 676, 12206, 267, 543, 616, 11207, 7164, 547, 519, 2489, 1857, 269, 634, 1101, 942, 835, 1808, 32012, 640, 3357, 547, 1250, 3007, 729, 1247, 2542, 513, 11356, 2376, 676, 513, 3659, 945, 1185, 5280, 5391, 4733, 667, 778, 879, 563, 1103, 602, 2272, 646, 13713, 5018, 875, 519, 4140, 324, 334, 12677, 10136, 1185, 20898, 909, 543, 24648, 958, 13401, 519, 4436, 10136, 945, 1185, 1147, 16781, 1229, 519, 3786, 269, 594, 729, 28280, 547, 1451, 713, 267, 543, 621, 729, 713, 8710, 602, 5280, 12954, 1250, 1719, 538, 519, 5168, 827, 667, 778, 879, 269, 11109, 2760, 1634, 602, 713, 3659, 1185, 1044, 538, 667, 778, 879, 267, 594, 1572, 1864, 543, 4280, 1864, 547, 22281, 519, 1650, 269, 1879, 646, 729, 8737, 594, 1185, 835, 2243, 281, 9894, 646, 1294, 1022, 2963, 540, 513, 3154, 12068, 538, 667, 778, 879, 286, 3571, 2626, 729, 513, 6109, 3143, 269, 4595, 1287, 267, 543, 607, 594, 2417, 11567, 519, 1686, 540, 519, 667, 778, 879, 3786, 267, 594, 723, 2097, 2066, 824, 6589, 2357, 4328, 1018, 1250, 3659, 5143, 803, 563, 3080, 667, 778, 879, 26956, 22281, 539, 519, 1482, 1650, 912, 296, 23754, 602, 519, 4892, 616, 1631, 4487, 540, 519, 3510, 269, 594, 979, 4724, 519, 11464, 945, 814, 2097, 1524, 689, 519, 7382, 267, 6338, 8885, 543, 646, 5088, 806, 803, 269, 1261, 568, 513, 2101, 269, 3571, 7833, 568, 7452, 344, 267, 1010, 25099, 267, 1930, 3592, 547, 519, 14255, 767, 267, 568, 2083, 20321, 267, 865 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2362, 1648, 3790, 543, 2816, 9271, 952, 2011, 7779, 6042, 616, 9395, 2989, 269, 3751, 15021, 734, 560, 650, 519, 10464, 652, 2707, 540, 5201, 734, 529, 31737, 538, 519, 2518, 1648, 1062, 563, 763, 23683, 11833, 267, 835, 540, 519, 2197, 781, 9510, 543, 4102, 3039, 2516, 267, 609, 476, 272, 269, 275, 2929, 2818, 267, 814, 2907, 1336, 2038, 1967, 8165, 519, 2208, 540, 5755, 593, 513, 15524, 652, 2590, 6578, 269, 1924, 2484, 267, 519, 8630, 3081, 267, 922, 15332, 15021, 5859, 814, 5280, 3625, 811, 982, 476, 5611, 6069, 5755, 2371, 2066, 519, 2197, 267, 1210, 3656, 2962, 543, 2199, 6644, 269, 2060, 25204, 6199, 781, 948, 267, 621, 781, 19480, 909, 519, 6370, 267, 5275, 547, 9505, 4540, 5755, 2371, 899, 674, 7416, 538, 9628, 563, 763, 2872, 568, 849, 6849, 2591, 689, 6115, 269, 769, 5147, 519, 16501, 9783, 3803, 3652, 593, 2011, 5533, 602, 22613, 1533, 10665, 267, 16550, 1379, 2371, 547, 2569, 5434, 540, 16247, 8166, 543, 9436, 12547, 734, 18314, 14107, 5532, 547, 1159, 690, 543, 1072, 2042, 734, 1478, 519, 1985, 1906, 1296, 269, 769, 519, 4947, 3275, 267, 519, 16501, 568, 16516, 547, 3803, 1125, 6042, 593, 16035, 5434, 267, 5755, 11849, 543, 8511, 3766, 553, 5434, 269, 8409, 6042, 786, 1683, 15889, 2640, 585, 2011, 2298, 543, 1072, 282, 519, 1007, 3444, 15581, 31215, 4341, 4805, 786, 2061, 606, 6059, 476, 4097, 267, 1822, 16349, 7972, 513, 1032, 267, 2687, 547, 519, 16501, 269, 834, 5591, 2146, 1058, 7703, 519, 11411, 540, 1776, 2146, 781, 12376, 619, 610, 581, 1379, 1652, 547, 957, 1996, 2011, 5533, 602, 5012, 547, 10447, 267, 2295, 6285, 543, 824, 5739, 10108, 2437, 3081, 16501, 8556, 15249, 23436, 12722, 563, 303, 1157, 2659, 7313, 2581, 454, 257, 3674, 972, 513, 2112, 593, 5755, 8119, 12134, 1977, 11272, 5295, 630, 288, 7968, 264, 16628, 7812, 24261, 269, 834, 296, 1589, 602, 781, 4023, 547, 2161, 1701, 24261, 262, 6644, 6927, 269, 589, 7968, 568, 835, 540, 519, 4102, 543, 1034, 5755, 17466, 20848, 538, 519, 2197, 267, 543, 519, 2754, 814, 711, 11124, 519, 4947, 16501, 6042, 23900, 269, 769, 4873, 267, 589, 7968, 9307, 602, 621, 1131, 9505, 1524, 2947, 4587, 5755, 30187, 2371, 676, 519, 1439, 540, 476, 1001, 275, 734, 1492, 2371, 15217, 5352, 476, 277, 267, 1822, 24448, 540, 5201, 734, 514, 851, 1317, 621, 1131, 581, 1932, 7199, 547, 22010, 873, 547, 2743, 519, 1007, 16501, 3652, 269, 9282, 513, 1906, 540, 1346, 2371, 1185, 2907, 1044, 16516, 547, 581, 1232, 2174, 2153, 539, 267, 24261, 3081, 519, 4028, 10605, 540, 519, 3652, 734, 583, 1988, 786, 723, 1152, 1614, 1296, 547, 2743, 519, 512, 7660, 5434, 3044, 593, 3444, 31215, 5533, 734, 15884, 1942, 519, 2754, 17542, 540, 9489, 543, 7366, 540, 6009, 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 ]
[ 268, 275, 269, 2353, 855, 1079, 540, 891, 4559, 616, 5394, 652, 693, 610, 2282, 519, 13337, 267, 543, 32521, 856, 22070, 1189, 883, 24435, 547, 5581, 513, 530, 8354, 11057, 1560, 602, 568, 3436, 272, 269, 276, 544, 1279, 269, 2353, 616, 959, 15635, 730, 593, 741, 10323, 2427, 1996, 513, 13337, 267, 4849, 1770, 31185, 267, 799, 4386, 607, 1507, 9678, 1025, 984, 538, 24435, 630, 514, 16671, 268, 275, 1070, 543, 519, 1804, 13337, 539, 530, 8354, 524, 342, 273, 630, 514, 16671, 268, 272, 1070, 930, 540, 799, 11498, 2066, 519, 10575, 26661, 2427, 540, 519, 13337, 7997, 269, 2311, 519, 32065, 1439, 540, 524, 342, 273, 267, 519, 21828, 3346, 540, 713, 530, 8354, 959, 15635, 919, 606, 5817, 3529, 538, 2208, 2990, 269, 634, 804, 2880, 4559, 616, 14648, 676, 721, 547, 581, 897, 1663, 341, 658, 4703, 6508, 676, 2699, 788, 3789, 540, 1768, 15869, 1178, 12069, 2144, 10757, 689, 519, 10575, 26661, 2427, 540, 519, 13337, 269, 1284, 10646, 1079, 540, 873, 630, 22780, 524, 342, 272, 538, 29503, 16671, 268, 272, 543, 519, 27069, 1025, 984, 267, 31185, 267, 538, 29503, 16671, 268, 275, 264, 607, 1373, 4130, 630, 283, 2412, 4699, 1279, 1070, 811, 5214, 11656, 267, 543, 811, 21378, 7781, 538, 3337, 982, 519, 824, 267, 530, 8354, 11057, 4703, 267, 3056, 721, 547, 4612, 519, 1507, 18574, 24481, 4703, 8335, 630, 5408, 1739, 1040, 634, 21836, 897, 1663, 341, 658, 530, 8354, 538, 29503, 16671, 268, 272, 630, 322, 342, 274, 264, 568, 4652, 5435, 539, 676, 18843, 476, 274, 267, 855, 621, 568, 711, 538, 3346, 609, 13337, 18843, 476, 273, 269, 901, 530, 8354, 568, 6772, 664, 676, 606, 5214, 521, 2830, 4494, 5627, 15998, 540, 5374, 5911, 630, 22780, 530, 331, 1040, 634, 21836, 804, 2880, 530, 8354, 538, 16671, 268, 275, 630, 22780, 524, 342, 290, 264, 568, 959, 15635, 730, 676, 13337, 18843, 476, 273, 538, 602, 29503, 543, 5526, 547, 581, 18254, 958, 6772, 664, 676, 513, 1770, 540, 5214, 521, 2830, 630, 22780, 4779, 264, 5627, 513, 1899, 540, 25865, 7632, 630, 20960, 1221, 3346, 538, 8431, 269, 476, 279, 289, 1916, 292, 548, 1597, 5439, 941, 476, 1691, 290, 18584, 689, 519, 17252, 3774, 540, 29503, 16671, 268, 272, 630, 8993, 269, 476, 279, 288, 1070, 3670, 689, 519, 17335, 3774, 540, 29503, 16671, 268, 275, 630, 8993, 269, 476, 279, 289, 1070, 543, 1079, 689, 519, 796, 8421, 3022, 630, 322, 3326, 17863, 264, 17252, 3774, 540, 16671, 268, 275, 630, 8993, 269, 476, 279, 290, 1040, 2986, 891, 267, 1614, 616, 3574, 267, 543, 476, 1626, 616, 24435, 610, 5214, 10036, 1606, 2830, 630, 8368, 476, 272, 1040, 5565, 5439, 630, 6717, 268, 272, 268, 272, 320, 25829, 543, 16671, 268, 272, 268, 272, 320, 268, 4512, 264, 941, 6394, 689, 513, 24435, 602, 4386, 954, 5523, 4765, 609, 782, 12320, 658, 1178, 12069, 593, 519, 10575, 26661, 13337, 3625, 269, 1452, 26857, 6502, 1063, 476, 1724, 267, 8182, 543, 476, 1321, 267, 1911, 1608, 29757, 645, 10422, 269, 630, 520, 476, 4817, 260, 6015, 1040, 634, 1964, 540, 519, 5439, 941, 6394, 689, 519, 1102, 650, 540, 519, 10544, 523, 593, 519, 1524, 628, 3497, 2427, 540, 519, 13337, 267, 27548, 6502, 540, 2999, 20862, 271, 1608, 29757, 645, 10422, 269, 2290, 3574, 3732, 630, 6717, 268, 275, 268, 1556, 264, 26857, 606, 2085, 602, 729, 3152, 982, 602, 540, 5817, 24435, 5439, 267, 543, 621, 568, 18505, 1042, 547, 723, 1044, 13381, 689, 513, 2282, 1532, 29569, 851, 540, 519, 24435, 5311, 269, 2353, 519, 824, 5439, 538, 891, 512, 29168, 26857, 6502, 602, 616, 538, 519, 2953, 14404, 15572, 545, 1931, 630, 520, 476, 4817, 260, 6015, 1070, 609, 519, 9868, 540, 1079, 24435, 5439, 630, 6717, 268, 272, 268, 1556, 543, 16671, 268, 275, 268, 274, 264, 602, 941, 6394, 538, 16133, 630, 629, 913, 543, 2630, 264, 547, 519, 703, 7275, 520, 14955, 845, 640, 269, 1452, 26857, 6502, 1167, 867, 656, 547, 835, 1776, 543, 547, 519, 6967, 1305, 540, 7404, 5439, 630, 5228, 1312, 1657, 543, 2630, 519, 14955, 845, 640, 1040, 2991, 6236, 519, 2407, 3892, 540, 476, 1691, 290, 6502, 267, 649, 4612, 16671, 268, 272, 268, 1556, 543, 16671, 268, 275, 268, 274, 607, 10916, 1875, 31398, 3789, 531, 2621, 267, 1498, 519, 4128, 585, 713, 616, 7164, 630, 5408, 25715, 661, 1040, 3776, 7664, 26549, 519, 2407, 9148, 540, 6967, 476, 1691, 290, 6502, 267, 6466, 1022, 824, 7778, 585, 519, 2085, 30729, 1131, 2154, 3606, 6502, 547, 581, 15653, 269, 898, 568, 1271, 547, 4063, 602, 824, 12496, 540, 519, 476, 1691, 290, 1239, 1131, 711, 1860, 519, 2698, 1297, 540, 2627, 8297, 696, 1005, 2621, 14648, 689, 519, 9061, 15880, 512, 29168, 563, 11328, 13133, 566, 540, 32495, 1389, 22859, 696, 1005, 519, 8828, 645, 15929, 674, 5435, 540, 519, 3400, 17754, 454, 4002, 519, 4493, 540, 519, 5916, 1239, 689, 512, 29168, 16671, 268, 272, 543, 16671, 268, 275, 267, 649, 4612, 2947, 16767, 547, 723, 8297, 696, 3293, 519, 7013, 3808, 532, 13337, 540, 519, 9061, 15880, 10544, 523, 1282, 519, 2250, 9625, 276, 269, 273, 737, 13885, 269, 1323, 4587, 630, 338, 1460, 628, 264, 2680, 9648, 1310, 476, 1321, 1700, 1724, 25697, 568, 6829, 538, 29503, 16671, 268, 272, 676, 16937, 540, 13337, 18843, 476, 274, 676, 1768, 15869, 18574, 630, 22780, 512, 23950, 268, 274, 1070, 855, 519, 5934, 2085, 540, 713, 13091, 568, 14605, 28653, 267, 543, 713, 2680, 786, 711, 581, 5941, 2417, 269, 769, 7305, 476, 273, 267, 519, 2947, 21836, 2621, 616, 13042, 595, 5425, 272, 630, 9767, 978, 652, 13091, 593, 519, 7013, 10465, 13337, 264, 547, 595, 5425, 276, 630, 325, 604, 628, 6040, 652, 13091, 593, 519, 7013, 10465, 13337, 1040, 7305, 476, 273, 849, 14439, 519, 1808, 476, 1691, 290, 5439, 602, 1526, 1778, 519, 5021, 543, 5934, 2085, 7182, 585, 1142, 540, 891, 16767, 269, 2353, 2680, 6502, 616, 20926, 538, 26215, 730, 1296, 645, 10422, 269, 693, 519, 476, 4817, 260, 6015, 8884, 269, 7612, 476, 1015, 13602, 891, 2085, 9832, 543, 849, 10297, 519, 1883, 476, 1691, 290, 5439, 1031, 547, 31455, 891, 2085, 9832, 563, 2467, 568, 606, 2059, 3613, 686, 651, 3017, 538, 6534, 14404, 15572, 545, 2085, 1063, 519, 1079, 7013, 512, 29168, 282, 4587, 21439, 616, 6534, 538, 16671, 268, 275, 3379, 547, 538, 16671, 268, 272, 269, 1284, 14487, 713, 3017, 538, 4598, 1377, 547, 13581, 909, 1532, 592, 3101, 540, 31324, 2059, 519, 13337, 2282, 16671, 268, 275, 630, 5408, 25715, 661, 1040, 5221, 540, 713, 17252, 7293, 726, 25128, 2059, 519, 13337, 267, 1152, 29503, 16671, 268, 275, 6592, 2963, 585, 519, 9510, 2680, 630, 290, 5425, 276, 1040, 595, 5425, 276, 8507, 538, 519, 5250, 540, 519, 1804, 897, 1663, 341, 658, 530, 8354, 630, 322, 342, 288, 264, 6534, 538, 519, 2539, 851, 540, 29503, 16671, 268, 275, 269, 30521, 22932, 5439, 16671, 268, 275, 268, 277, 543, 16671, 268, 275, 268, 1015, 267, 689, 2630, 543, 1657, 713, 530, 8354, 267, 31455, 713, 13091, 547, 519, 8884, 476, 276, 3393, 271, 1700, 5379, 273, 271, 1608, 269, 29757, 645, 10422, 563, 2171, 4612, 519, 1985, 3917, 537, 978, 652, 13091, 267, 595, 5425, 275, 267, 547, 723, 3361, 29295, 618, 543, 12900, 540, 519, 10077, 335, 267, 3056, 547, 900, 10293, 540, 519, 897, 1663, 341, 658, 530, 8354, 267, 524, 342, 289, 269, 634, 2085, 540, 713, 530, 8354, 568, 15741, 9643, 676, 5439, 16671, 268, 275, 268, 1626, 543, 16671, 268, 275, 268, 1724, 547, 519, 8884, 476, 4366, 278, 271, 1700, 28906, 271, 1608, 269, 29757, 645, 10422, 269, 769, 1840, 267, 649, 18505, 602, 519, 1482, 13091, 729, 6592, 676, 519, 703, 7275, 520, 14955, 845, 640, 9789, 546, 1905, 532, 27492, 540, 13337, 22204, 476, 275, 543, 476, 276, 676, 24435, 538, 29503, 16671, 268, 272, 630, 8993, 269, 476, 279, 288, 264, 543, 519, 14955, 845, 762, 16937, 540, 519, 796, 24887, 13337, 676, 521, 2830, 538, 29503, 16671, 268, 275, 630, 8993, 269, 476, 279, 290, 1040, 1284, 31455, 519, 14955, 845, 640, 630, 663, 3976, 595, 5425, 275, 264, 547, 519, 8884, 476, 3607, 280, 271, 1700, 29574, 271, 1608, 269, 29757, 645, 10422, 269, 1210, 5439, 16671, 268, 272, 268, 1321, 543, 16671, 268, 272, 268, 1015, 269, 589, 4999, 540, 519, 2085, 10148, 540, 519, 897, 1663, 341, 658, 530, 8354, 609, 1346, 540, 519, 14955, 845, 640, 11729, 513, 12432, 2085, 2039, 585, 2680, 595, 5425, 275, 540, 476, 3607, 280, 271, 1700, 28906, 271, 1608, 269, 29757, 645, 10422, 563, 763, 3791, 3917, 537, 978, 652, 13091, 630, 324, 1203, 595, 5425, 274, 264, 29915, 730, 519, 10077, 335, 547, 2014, 5250, 540, 897, 1663, 341, 658, 530, 8354, 524, 342, 273, 267, 607, 6534, 538, 29503, 16671, 268, 272, 269, 634, 2085, 540, 713, 530, 8354, 568, 15741, 9643, 676, 5439, 16671, 268, 272, 268, 277, 543, 16671, 268, 272, 268, 1724, 547, 519, 8884, 476, 23056, 271, 1700, 278, 2412, 1608, 269, 29757, 645, 10422, 269, 3776, 9053, 2085, 585, 713, 13091, 568, 1759, 593, 3732, 16671, 268, 272, 268, 277, 4805, 267, 607, 713, 2085, 630, 23056, 271, 1700, 21076, 271, 1608, 29757, 645, 10422, 4700, 568, 14648, 547, 2594, 2669, 540, 513, 3529, 676, 13091, 14001, 547, 653, 1782, 5612, 1991, 547, 900, 10293, 540, 519, 530, 8354, 269, 769, 29503, 16671, 268, 275, 267, 519, 1482, 13091, 630, 290, 5425, 274, 264, 568, 14648, 547, 723, 4646, 519, 530, 8354, 267, 524, 342, 290, 269, 589, 5021, 2085, 23061, 585, 530, 8354, 524, 342, 290, 540, 476, 31172, 271, 1608, 269, 29757, 645, 10422, 269, 568, 3177, 676, 3732, 16671, 268, 275, 268, 1724, 267, 799, 896, 15533, 621, 630, 11004, 616, 1100, 18584, 5439, 689, 1657, 519, 530, 8354, 1916, 1103, 29503, 16671, 268, 272, 267, 649, 18505, 602, 519, 4050, 738, 1493, 13091, 630, 324, 1203, 595, 5425, 273, 264, 3361, 900, 10293, 540, 513, 897, 1663, 341, 658, 530, 8354, 267, 524, 342, 274, 269, 901, 530, 8354, 546, 1905, 539, 2066, 519, 840, 1410, 12371, 630, 663, 575, 537, 613, 2000, 23565, 264, 10250, 540, 13337, 476, 272, 269, 634, 2085, 540, 519, 530, 8354, 568, 15741, 9643, 676, 5439, 16671, 268, 272, 268, 1724, 543, 16671, 268, 272, 268, 1691, 547, 519, 8884, 476, 280, 736, 1700, 8517, 1608, 269, 29757, 645, 10422, 269, 1284, 18505, 602, 519, 26627, 25958, 4559, 538, 16671, 268, 275, 616, 27772, 610, 723, 1044, 538, 851, 2144, 10757, 267, 5310, 607, 513, 1267, 540, 17717, 543, 6683, 269, 769, 16671, 268, 275, 267, 513, 27556, 1899, 540, 25865, 7632, 538, 519, 4779, 1770, 2282, 519, 2666, 2627, 949, 581, 513, 1480, 1673, 626, 32328, 6697, 547, 530, 8354, 524, 342, 274, 267, 855, 713, 568, 7334, 563, 1103, 31084, 593, 3140, 12406, 547, 581, 519, 476, 6977, 276, 13091, 267, 519, 1034, 2487, 13091, 630, 290, 5425, 272, 264, 568, 6829, 538, 29503, 16671, 268, 272, 676, 519, 8297, 696, 1005, 540, 13337, 18843, 476, 273, 16057, 689, 530, 8354, 524, 342, 274, 547, 8831, 883, 519, 2413, 3037, 9043, 269, 589, 5021, 2085, 23061, 540, 476, 280, 3583, 1608, 269, 29757, 645, 10422, 269, 568, 3177, 676, 3732, 16671, 268, 272, 268, 1691, 689, 519, 13337, 539, 9631, 4494, 267, 799, 568, 6772, 664, 676, 519, 5911, 24481, 4494, 267, 530, 331, 630, 1495, 730, 267, 855, 10924, 2413, 1040, 769, 29503, 16671, 268, 275, 267, 519, 476, 6977, 276, 13091, 568, 18505, 1042, 547, 723, 3361, 17277, 593, 13337, 18843, 476, 273, 267, 855, 621, 1705, 711, 5352, 1022, 897, 1663, 341, 658, 530, 8354, 602, 568, 12873, 2282, 519, 2666, 2627, 2221, 269, 1403, 971, 513, 530, 8354, 2899, 1705, 2291, 267, 1480, 14001, 19717, 3361, 676, 17717, 543, 14713, 1590, 723, 6569, 1022, 2963, 585, 621, 689, 519, 26627, 25958, 11159, 6106, 563, 1103, 2536, 2590, 32495, 1389, 689, 2051, 1663, 341, 658, 11205, 2471, 454, 4322, 12496, 7048, 538, 851, 593, 938, 7664, 602, 519, 1804, 630, 285, 272, 269, 276, 2173, 17489, 264, 18574, 12311, 2471, 616, 10077, 335, 23402, 897, 1663, 341, 658, 4559, 602, 4646, 607, 513, 1267, 540, 13337, 1606 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23540, 267, 26240, 13906, 31791, 267, 9065, 334, 2000, 716, 334, 20757, 1143, 267, 5786, 1143, 267, 610, 3662, 530, 1409, 541, 1143, 267, 607, 789, 616, 3606, 3029, 540, 21440, 269, 12098, 22675, 568, 513, 1062, 540, 2318, 19802, 269, 0, 302, 6579, 1299, 717, 3008, 654, 21135, 10911, 308, 2316, 3201, 454, 8104, 297, 910, 24542, 786, 2744, 2666, 11451, 593, 3282, 543, 2067, 3154, 676, 476, 13078, 271, 607, 922, 946, 538, 6472, 5170, 547, 4473, 543, 1379, 3892, 1949, 616, 3710, 538, 3384, 2477, 267, 606, 22305, 1116, 9472, 676, 667, 301, 309, 23834, 6789, 267, 14642, 5979, 267, 1767, 269, 1809, 2067, 3154, 786, 581, 519, 2582, 7887, 1648, 2707, 676, 4571, 10601, 267, 5103, 922, 7727, 890, 1136, 538, 476, 10711, 276, 1310, 20546, 532, 19020, 3282, 513, 1032, 4505, 267, 1141, 7727, 786, 2887, 538, 476, 1708, 279, 267, 621, 3773, 563, 257, 21328, 3747, 568, 24609, 532, 269, 1284, 2811, 1210, 811, 5201, 267, 543, 922, 5108, 568, 811, 3608, 982, 824, 3029, 540, 1648, 269, 7767, 832, 616, 5051, 23904, 602, 2842, 543, 3859, 1379, 1942, 20214, 666, 3136, 547, 581, 6913, 2437, 1767, 4432, 529, 9278, 8776, 26684, 267, 8783, 10324, 540, 519, 4830, 1981, 2359, 543, 2298, 22059, 28007, 6109, 781, 3282, 543, 3154, 6498, 563, 302, 559, 543, 3154, 786, 2611, 2629, 1648, 3334, 607, 741, 2671, 540, 519, 2698, 2518, 3575, 8813, 689, 476, 7871, 260, 1631, 547, 476, 6246, 260, 538, 476, 13078, 271, 267, 8776, 26684, 1767, 1282, 513, 6881, 693, 519, 2817, 4964, 11833, 23032, 676, 519, 2475, 6052, 5948, 269, 834, 2171, 4312, 10924, 513, 3622, 11931, 1689, 4724, 476, 13078, 271, 267, 609, 1447, 19020, 3282, 2504, 855, 811, 2067, 3154, 543, 5201, 267, 1141, 3859, 543, 2842, 1379, 786, 1332, 1317, 540, 1942, 20214, 2437, 1352, 1767, 563, 20059, 906, 786, 581, 2877, 547, 1039, 2504, 4390, 543, 547, 7500, 4540, 7221, 9108, 543, 30396, 267, 667, 301, 309, 1767, 538, 513, 5094, 9472, 269, 834, 763, 3942, 568, 1305, 585, 3154, 547, 1831, 519, 1158, 781, 3119, 1648, 2707, 4724, 476, 13078, 271, 267, 543, 519, 2063, 540, 519, 8093, 10173, 547, 1995, 8445, 3747, 267, 799, 786, 2049, 538, 476, 10711, 276, 2687, 547, 938, 2203, 2437, 621, 1767, 269, 834, 294, 553, 666, 1404, 513, 3844, 1909, 538, 5885, 1648, 3354, 7258, 4756, 5710, 1963, 1282, 519, 5912, 4799, 307, 528, 26684, 7074, 602, 811, 982, 513, 1032, 3516, 267, 667, 301, 309, 4956, 547, 1020, 519, 9472, 1317, 1169, 824, 3282, 543, 3154, 19773, 8604, 547, 3914, 693, 2547, 835, 3932, 799, 1705, 711, 2992, 1018, 519, 6109, 729, 7487, 1631, 563, 20442, 1294, 513, 1158, 1141, 3747, 786, 581, 811, 17077, 982, 7727, 267, 7361, 1317, 540, 2333, 4398, 2437, 8776, 26684, 1767, 269, 834, 1103, 6283, 267, 519, 7887, 1689, 568, 519, 15399, 1157, 538, 5122, 6472, 269, 3624, 543, 3127, 5063, 9307, 811, 10728, 3268, 269, 21805, 338, 849, 1223, 946, 5201, 811, 269, 634, 6472, 2933, 849, 1223, 1683, 4859, 267, 799, 649, 3494, 568, 513, 1360, 8903, 1650, 269, 7849, 3154, 27983, 849, 1223, 1683, 3608, 4859, 4799, 291, 301, 309, 781, 3282, 543, 3154, 9472, 4951, 6671, 3282, 2504, 11173, 547, 1404, 606, 1104, 1909, 269, 744, 985, 327, 648, 6671, 2504, 729, 4397, 547, 7771, 606, 3328, 476, 272, 269, 275, 260, 270, 20204, 998, 476, 13078, 271, 267, 855, 1869, 2272, 585, 811, 982, 3368, 540, 2698, 2518, 3282, 2504, 676, 4571, 10601, 563, 4462, 935, 14846, 593, 17060, 3282, 2504, 786, 10199, 5595, 547, 1472, 476, 2420, 2929, 536, 7933, 676, 476, 10711, 276, 267, 950, 621, 786, 723, 5176, 513, 476, 1789, 260, 2671, 540, 782, 2518, 19020, 2504, 267, 519, 9472, 1767, 269, 834, 2171, 2503, 23349, 3282, 543, 3154, 547, 2099, 513, 3395, 851, 540, 2698, 3345, 543, 5824, 1977, 2504, 2437, 8776, 26684, 1767, 563, 347, 20464, 267, 476, 866, 267, 476, 1321, 281, 3393, 281, 876, 2008, 347, 20464, 267, 476, 866, 267, 476, 1321, 281, 2412, 281, 876, 2008, 347, 20464, 267, 476, 866, 267, 476, 1321, 281, 3374, 281, 876, 2008, 347, 20464, 267, 476, 866, 267, 476, 1321, 281, 1789, 281, 876, 2008, 347, 20464, 267, 476, 866, 267, 476, 1321, 281, 1839, 281, 876, 2008, 347, 20464, 267, 476, 866, 267, 476, 1321, 281, 736, 281, 876, 2008, 12195, 2969, 4811, 910, 1280, 2407, 4458, 476, 1001, 278, 267, 3162, 9705, 781, 19020, 20558, 689, 922, 7887, 18261, 18142, 17936, 8593, 476, 272, 269, 278, 260, 547, 476, 29204, 269, 6349, 2929, 29054, 267, 3379, 609, 476, 27844, 269, 3393, 2929, 29054, 538, 519, 3105, 1032, 267, 9821, 1239, 4951, 269, 2201, 519, 14669, 267, 3162, 9705, 814, 16865, 476, 272, 269, 6507, 2929, 544, 339, 267, 610, 1472, 476, 1724, 2929, 29054, 267, 540, 19020, 689, 519, 2475, 538, 476, 1001, 278, 267, 827, 2185, 2053, 2362, 982, 538, 476, 1001, 277, 269, 26676, 906, 689, 6576, 8057, 547, 476, 9610, 267, 1822, 536, 7933, 2063, 1032, 689, 476, 12208, 267, 1822, 536, 7933, 538, 476, 1001, 277, 563, 288, 8104, 910, 5084, 301, 8016, 779, 476, 10711, 271, 4640, 267, 646, 1767, 267, 6663, 547, 3854, 1047, 593, 10567, 2518, 2804, 2208, 543, 3747, 585, 3282, 543, 4620, 10635, 8707, 2472, 267, 3226, 538, 1875, 14114, 25929, 2477, 269, 1306, 922, 1870, 20781, 547, 4657, 2344, 6384, 267, 519, 2754, 786, 3136, 547, 22962, 922, 11450, 3490, 267, 7794, 922, 20656, 267, 3082, 547, 1007, 19178, 543, 4228, 2344, 1569, 563, 310, 13585, 910, 7201, 519, 2474, 540, 519, 7084, 543, 6718, 6876, 621, 814, 9896, 609, 715, 16197, 639, 543, 15588, 7615, 267, 570, 657, 3031, 320, 786, 6133, 922, 2924, 547, 7682, 6811, 1996, 4639, 532, 5264, 1644, 547, 519, 2385, 18715, 538, 519, 2179, 540, 1269, 276, 269, 4281, 279, 5479, 267, 543, 593, 2272, 540, 824, 6811, 570, 657, 3031, 320, 6585, 1996, 4639, 532, 5264, 538, 519, 2179, 540, 1269, 273, 269, 29257, 5479, 547, 715, 16197, 639, 267, 585, 519, 9042, 3902, 540, 1269, 273, 269, 8182, 5479, 563, 3918, 21585, 910, 645, 1370, 19020, 20304, 700, 4596, 322, 272, 941, 693, 1269, 7597, 269, 2537, 513, 22902, 693, 476, 24699, 279, 10648, 307, 267, 909, 476, 279, 21347, 689, 741, 2063, 2673, 267, 855, 1524, 689, 513, 1164, 540, 1269, 7597, 269, 4391, 4505, 538, 519, 1554, 269, 645, 1370, 593, 11728, 9782, 547, 1269, 3583, 269, 4391, 513, 22902, 267, 922, 5207, 2094, 5412, 476, 1001, 275, 267, 519, 1376, 540, 513, 1614, 4458, 3282, 3902, 1793, 2794, 269, 772, 2529, 269, 4639, 7147, 29329, 630, 310, 2316, 264, 19020, 20304, 14160, 322, 272, 941, 693, 1269, 8287, 269, 10019, 513, 22902, 267, 1524, 689, 513, 1164, 540, 1269, 8287, 269, 8660, 4505, 267, 855, 909, 476, 1556, 21347, 689, 741, 2063, 11175, 269, 654, 2316, 5734, 1269, 5038, 269, 8660, 593, 13638, 267, 849, 519, 5207, 2094, 5412, 476, 1001, 275, 269, 0, 1103, 8983, 267, 2890, 6921, 807, 949, 6414, 519, 3003, 14438, 540, 519, 3662, 269, 634, 2281, 685, 10715, 949, 581, 5532, 547, 741, 1909, 538, 4761, 3965, 543, 31895, 17654, 3676, 454, 292, 3916, 3215, 13596, 543, 10408, 3653, 1765, 10472, 568, 606, 1271, 4305, 540, 2890, 6921, 807, 2281, 267, 519, 4761, 2281, 540, 519, 2634, 269, 1358, 4866, 547, 519, 1895, 540, 1875, 16250, 1116, 2634, 2281, 602, 1489, 519, 3339, 1599, 540, 8229, 2281, 269, 589, 1007, 1353, 1631, 2982, 602, 538, 8983, 891, 25094, 10152, 2281, 949, 2661, 607, 1279, 607, 519, 23224, 2933, 563, 763, 1007, 4466, 2501, 689, 3744, 693, 519, 670, 1068, 773, 4659, 585, 11916, 11020, 3194, 267, 519, 2160, 540, 570, 6686, 6883, 523, 267, 543, 519, 4436, 4741, 585, 11671, 19592, 17654, 15302, 630, 291, 313, 20911, 1040, 769, 606, 4434, 2228, 8313, 540, 519, 4760, 7186, 29249, 519, 3744, 4553, 1367, 2890, 6921, 807, 2281, 896, 519, 17209, 538, 24155, 563, 763, 30122, 1279, 14438, 540, 2890, 6921, 807, 6920, 2417, 3252, 891, 2281, 949, 1685, 281, 968, 19853, 15325, 2636, 873, 547, 1451, 543, 547, 2085, 2223, 6941, 7905, 3220, 269, 4569, 5362, 808, 27462, 269, 968, 1607, 949, 5512, 873, 547, 1106, 606, 6375, 1670, 3965, 543, 3565, 547, 519, 1646, 540, 31895, 17654, 3676, 3034, 29128, 1631, 621, 814, 1044, 15458, 2436, 2890, 6921, 807, 2281, 666, 1711, 513, 3965, 585, 13596, 2147, 547, 519, 835, 2919, 676, 4761, 2281, 538, 519, 1964, 540, 519, 1560, 269, 901, 1599, 5849, 513, 5488, 543, 811, 3608, 11852, 540, 519, 8878, 2281, 950, 513, 2034, 3346, 568, 1500, 269, 968, 2252, 2890, 6921, 807, 2281, 5030, 1152, 13713, 267, 606, 4761, 3965, 1131, 711, 1118, 1454, 2631, 269, 3767, 602, 649, 917, 713, 568, 711, 519, 2013, 267, 519, 2856, 3587, 1134, 10703, 22133, 2223, 3081, 1071, 2275, 528, 22046, 532, 2278, 3220, 269, 19664, 657, 4787, 617, 6652, 269, 769, 1249, 267, 972, 616, 1101, 23053, 602, 606, 2038, 14242, 540, 519, 2634, 779, 4761, 1062, 18385, 2242, 519, 2534, 540, 519, 2890, 6921, 807, 2281, 563, 1103, 1840, 547, 713, 4305, 267, 2890, 6921, 807, 723, 1279, 1044, 16143, 540, 4730, 513, 1909, 538, 519, 1646, 540, 2085, 5829, 14715, 3676, 269, 968, 2304, 5863, 4466, 538, 2487, 1296, 568, 602, 1034, 1981, 2188, 585, 12216, 781, 2068, 4786, 547, 2242, 538, 6090, 602, 616, 3742, 538, 2890, 6921, 807, 2281, 2223, 808, 27462, 3081, 269, 898, 3788, 15458, 875, 519, 2281, 3565, 547, 519, 1646, 540, 519, 2068, 269, 1717, 281, 968, 288, 3101, 543, 6845, 525, 12412, 540, 2890, 6921, 807, 949, 1404, 513, 1909, 1765, 10472, 3340, 513, 1279, 1272, 540, 519, 2281, 3034, 1103, 519, 2635, 2634, 267, 519, 1297, 540, 2890, 6921, 807, 3788, 811, 610, 1447, 3586, 269, 1717, 267, 2394, 1631, 3744, 723, 1044, 7234, 2436, 2890, 6921, 807, 616, 2110, 24331, 2281, 602, 6385, 17297, 4733, 267, 610, 2436, 789, 616, 1279, 24331, 2281, 602, 10355, 7941, 269, 19881, 7403, 941, 2944, 1152, 18549, 543, 3366, 547, 30137, 2164, 269, 769, 519, 1459, 1353, 267, 1101, 2278, 3220, 269, 8891, 571, 674, 6686, 3455, 16220, 13042, 1367, 2890, 6921, 807, 538, 8983, 543, 2047, 4767, 519, 24826, 540, 891, 2281, 1210, 476, 273, 14428, 582, 517, 9196, 936, 1082, 3275, 538, 519, 10856, 2634, 563, 2108, 2026, 519, 6364, 729, 4625, 1930, 267, 649, 1185, 513, 914, 4881, 538, 519, 8257, 609, 11236, 602, 24132, 689, 513, 7008, 540, 3275, 547, 811, 982, 513, 1032, 2223, 808, 27462, 31061, 269, 769, 519, 1439, 267, 3368, 540, 519, 2281, 6594, 4951, 513, 7229, 14438, 540, 909, 547, 476, 2764, 3275, 267, 799, 14687, 547, 513, 10856, 779, 10715, 269, 968, 1103, 938, 1353, 267, 649, 941, 6368, 2111, 547, 6961, 519, 15325, 540, 2890, 6921, 807, 2223, 519, 4589, 9959, 563, 293, 6686, 3455, 1696, 620, 269, 630, 1001, 278, 2567, 5843, 6921, 807, 24826, 609, 10172, 543, 538, 606, 12216, 21485, 338, 2203, 3842, 1279, 3856, 538, 24155, 2582, 16052, 9196, 269, 7186, 29249, 267, 4359, 2228, 8313, 454, 30267, 269, 3220, 269, 4569, 5362, 808, 27462, 454, 295, 1068, 773, 4659, 585, 11916, 11020, 3194, 454, 17206, 540, 570, 6686, 6883, 523, 454, 17490, 1341, 5392, 476, 3583, 278, 272, 476, 3066, 268, 476, 279, 6924, 8287, 454, 7804, 269, 631, 732, 833, 918, 731, 1400, 1923, 7329, 342, 910, 22252, 725, 323, 1329, 560, 654, 1170, 839, 577, 10762, 454, 5415, 6090, 616, 3742, 538, 1164, 26024, 22959, 454, 866, 269, 4905, 269, 1001, 279, 1923, 28039, 17430, 3832, 26179, 8862, 559, 3559, 916, 268, 26536, 28059, 12844, 333, 454, 1692, 2371, 1294, 1769, 454, 866, 269, 4905, 269, 1001, 279, 1923, 15751, 6441, 644, 342, 12127, 268, 26536, 28059, 6154, 756, 4026, 708, 6601, 529, 326, 879, 454, 4002, 519, 1259, 547, 606, 10995, 8047, 267, 21575, 689, 769, 985, 321, 30638, 543, 21499, 1459, 606, 5841, 8665, 602, 8238, 558, 3585, 6272, 7061, 6901, 269, 769, 3355, 6901, 267, 519, 1062, 814, 10446, 630, 516, 264, 29171, 2642, 8097, 2553, 602, 616, 19951, 3044, 538, 2413, 7061, 9804, 20682, 269, 901, 2982, 875, 6191, 1223, 1404, 513, 811, 3860, 1909, 538, 1382, 538, 519, 2104, 563, 2171, 4163, 16389, 538, 938, 22836, 267, 519, 10754, 616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 2417, 17061, 3100, 17149, 269, 1937, 560, 540, 782, 949, 581, 519, 1764, 593, 11894, 781, 15805, 2872, 267, 513, 1292, 560, 599, 540, 519, 4346, 563, 3080, 824, 7132, 568, 602, 519, 2622, 2657, 25944, 10294, 713, 3018, 602, 519, 15349, 2229, 1185, 5340, 4794, 26476, 1176, 267, 693, 2547, 538, 7231, 609, 519, 1480, 2665, 269, 968, 763, 2962, 538, 519, 2197, 814, 1044, 3617, 543, 519, 2359, 540, 713, 6433, 568, 693, 519, 1377, 1141, 621, 1058, 581, 2223, 29499, 16205, 8355, 345, 517, 267, 519, 14959, 781, 6237, 8689, 269, 8616, 713, 521, 1481, 710, 2070, 568, 711, 3838, 676, 1082, 5695, 802, 267, 945, 934, 2224, 519, 2229, 540, 513, 3382, 5346, 269, 1879, 2725, 327, 5471, 18498, 918, 7514, 13424, 267, 513, 476, 1691, 4458, 6040, 267, 5747, 593, 5130, 476, 272, 560, 267, 15349, 1072, 8387, 1767, 693, 1101, 602, 519, 2014, 729, 16415, 269, 595, 655, 559, 595, 823, 330, 267, 519, 5126, 14012, 267, 15034, 1072, 8387, 945, 1185, 6659, 519, 15372, 936, 6177, 2770, 540, 968, 332, 529, 2151, 31773, 7180, 6100, 898, 729, 711, 2394, 3735, 2063, 3018, 267, 1175, 1354, 519, 2034, 918, 7514, 13424, 1126, 5747, 267, 602, 519, 1072, 14012, 267, 25547, 335, 13019, 323, 698, 267, 9672, 602, 1200, 7015, 1185, 26438, 6177, 2770, 563, 16031, 661, 6113, 25830, 29739, 713, 3018, 267, 1310, 936, 476, 4968, 267, 1822, 5017, 1185, 1044, 7583, 1194, 267, 602, 519, 3510, 729, 4628, 896, 1852, 269, 1809, 1010, 1913, 941, 17591, 539, 676, 8613, 22089, 540, 1453, 8389, 5585, 532, 609, 17944, 538, 519, 7532, 269, 769, 14619, 267, 519, 4161, 6849, 519, 2229, 568, 5458, 269, 24581, 6777, 338, 543, 27726, 10239, 723, 15286, 1072, 4600, 689, 8757, 1082, 14252, 2219, 547, 723, 7783, 5017, 269, 1656, 1082, 918, 6324, 880, 27142, 798, 711, 1174, 15349, 267, 519, 1152, 1893, 1031, 538, 1082, 21855, 827, 6177, 2770, 563, 3719, 519, 7887, 21677, 568, 519, 6710, 602, 4412, 1564, 6634, 540, 3885, 547, 9742, 18147, 16738, 269, 634, 2259, 3762, 519, 2831, 7925, 547, 3968, 689, 27436, 5017, 269, 3509, 3885, 616, 1634, 547, 581, 10703, 2718, 930, 610, 782, 540, 741, 5017, 269, 769, 8210, 345, 584, 636, 267, 835, 12504, 6035, 547, 2490, 538, 1010, 1079, 24726, 2864, 982, 1010, 17944, 269, 634, 2229, 814, 2943, 547, 2097, 909, 609, 513, 25685, 13180, 10325, 269, 1937, 572, 1869, 267, 2199, 949, 832, 267, 3226, 538, 918, 6324, 880, 2127, 267, 723, 9863, 13546, 696, 693, 7231, 609, 519, 12176, 269, 769, 13928, 4209, 344, 1794, 527, 267, 18513, 4600, 1256, 5143, 1453, 547, 948, 873, 6952, 5017, 609, 741, 11953, 3946, 269, 0, 1432, 568, 808, 310, 339, 15017, 297, 310, 339, 568, 513, 10084, 5399, 585, 3384, 1357, 3156, 269, 898, 2488, 513, 6986, 10084, 5057, 12454, 1935, 547, 2679, 1357, 3156, 267, 543, 14906, 619, 2901, 1210, 31828, 1314, 610, 10750, 14103, 563, 19284, 23404, 293, 267, 972, 568, 1100, 1523, 540, 513, 2985, 543, 1100, 8237, 1063, 2985, 834, 1613, 338, 257, 543, 23431, 834, 4818, 7859, 2580, 1818, 19074, 10002, 24411, 269, 5502, 267, 3388, 568, 513, 11097, 1326, 602, 666, 581, 759, 4240, 538, 824, 11097, 12033, 563, 2690, 811, 1344, 267, 1294, 519, 1753, 2457, 563, 763, 5399, 3340, 513, 4419, 2280, 476, 273, 269, 276, 610, 476, 274, 269, 271, 8708, 269, 1879, 18611, 538, 513, 1425, 2280, 476, 274, 269, 271, 8708, 267, 621, 568, 2111, 547, 946, 607, 2106, 28942, 594, 23860, 10342, 547, 2087, 25382, 950, 1210, 7746, 7903, 2934, 563, 2005, 666, 581, 607, 2241, 607, 912, 763, 1753, 2457, 3568, 1585, 1806, 269, 0, 1805, 821, 6520, 17743, 619, 2059, 519, 14117, 5211, 27485, 2592, 540, 2367, 267, 22645, 267, 13650, 267, 3141, 543, 7599, 5196, 5642, 610, 20341, 1279, 3516, 269, 1452, 1482, 5961, 3267, 17004, 5348, 18462, 1805, 821, 6520, 17743, 619, 2059, 519, 14117, 5211, 27485, 2592, 540, 2367, 267, 22645, 267, 13650, 267, 3141, 543, 7599, 5196, 5642, 610, 20341, 1279, 3516, 269, 1452, 1482, 5961, 2661, 593, 519, 519, 3197, 1031, 676, 519, 4457, 2221, 269, 595, 1815, 23158, 14811, 336, 341, 626, 15244, 519, 4720, 543, 11972, 1686, 540, 4457, 3197, 267, 3246, 5813, 883, 741, 2528, 13034, 728, 5348, 18462, 454, 20373, 281, 293, 1515, 269, 901, 6221, 568, 7396, 607, 11807, 543, 4440, 814, 1044, 1862, 293, 1515, 269, 901, 6221, 568, 7396, 607, 11807, 543, 4440, 814, 1044, 1134, 1031, 269, 898, 1223, 723, 9645, 1603, 610, 10223, 2429, 855, 568, 1869, 26729, 543, 814, 1044, 11720, 539, 9935, 269, 7490, 1810, 1405, 4444, 621, 952, 596, 616, 24584, 513, 3501, 5299, 269, 898, 814, 513, 7008, 811, 14509, 2451, 1354, 621, 781, 942, 547, 581, 13381, 269, 8262, 9839, 539, 7734, 18715, 547, 1184, 707, 1931, 1369, 476, 272, 1870, 1554, 267, 3091, 11880, 1243, 11288, 267, 543, 1100, 31484, 548, 7024, 269, 1635, 11449, 713, 6221, 267, 596, 616, 4543, 6318, 1454, 2877, 7482, 585, 938, 26988, 4891, 2429, 1715, 4789, 269, 8262, 9839, 539, 7734, 568, 4687, 519, 2648, 540, 2835, 835, 1433, 693, 513, 942, 2336, 20373, 281, 293, 1515, 269, 6153, 5299, 585, 2542, 267, 949, 723, 5230, 2985, 5957, 609, 1862, 293, 1515, 269, 6153, 5299, 585, 2542, 267, 949, 723, 5230, 2985, 5957, 609, 1603, 21849, 4967, 10223, 610, 581, 606, 8185, 1031, 608, 5399, 5299, 609, 5399, 24795, 267, 29654, 610, 22827, 269, 28545, 29075, 610, 17960, 949, 711, 581, 3769, 563, 20373, 281, 293, 1515, 269, 16440, 513, 1433, 256, 3367, 762, 2783, 267, 6266, 540, 1212, 1162, 543, 5957, 2807, 293, 1515, 269, 16440, 513, 1433, 256, 3367, 762, 2783, 267, 6266, 540, 1212, 1162, 543, 5957, 269, 29828, 333, 11006, 269, 1849, 1054, 936, 12545, 269, 476, 275, 2537, 533, 269, 1230, 13935, 281, 16503, 5928, 563, 20373, 281, 14187, 269, 476, 1220, 279, 6261, 1653, 3724, 268, 5825, 539, 8566, 797, 734, 4537, 3298, 930, 15808, 2914, 792, 269, 2904, 1862, 14187, 269, 476, 1220, 279, 6261, 1653, 3724, 268, 5825, 539, 8566, 797, 734, 4537, 3298, 930, 15808, 2914, 792, 269, 2904, 2270, 2025, 3902, 29654, 610, 741, 21225, 267, 1202, 18587, 610, 4142, 10716, 689, 3105, 5411, 538, 1101, 1906, 3817, 543, 14230, 7436, 11607, 269, 910, 295, 718, 9335, 7734, 23217, 9635, 689, 27201, 267, 12924, 269, 2353, 9753, 616, 9268, 543, 25855, 1369, 476, 2190, 1870, 3108, 267, 3933, 6363, 686, 269, 30609, 1243, 11288, 543, 9477, 2139, 1369, 519, 2475, 269, 8065, 9335, 781, 3143, 8862, 13446, 10018, 13071, 596, 4444, 609, 6015, 2336, 20373, 281, 293, 710, 269, 476, 27157, 6924, 272, 2568, 280, 272, 22244, 17395, 21832, 270, 7419, 3918, 4696, 256, 8206, 8206, 7956, 568, 11162, 543, 1862, 293, 710, 269, 476, 27157, 6924, 272, 2568, 280, 272, 22244, 17395, 21832, 270, 7419, 3918, 4696, 256, 8206, 8206, 7956, 568, 11162, 543, 1133, 5658, 539, 256, 8206, 8206, 4534, 6826, 17610, 547, 14424, 590, 11839, 24720, 543, 13158, 902, 1354, 623, 3420, 2084, 734, 9199, 9535, 568, 711, 2139, 585, 9753, 25855, 3544, 540, 519, 2136, 2276, 269, 1403, 596, 1131, 899, 547, 3950, 707, 6469, 1931, 5225, 581, 2386, 547, 2824, 519, 13405, 640, 270, 2750, 6244, 1243, 1744, 6235, 4781, 563, 15648, 538, 12190, 4919, 1239, 543, 3382, 2592, 568, 4371, 676, 715, 1408, 11420, 3883, 7896, 17290, 267, 22823, 1299, 13177, 267, 5549, 1421, 610, 676, 741, 9757, 6132, 839, 832, 267, 610, 676, 519, 21101, 267, 610, 676, 741, 9757, 6132, 839, 832, 269, 1280, 2123, 946, 1152, 269, 2353, 2924, 11603, 269, 2353, 2924, 538, 2592, 540, 2835, 610, 824, 12326, 616, 11603, 676, 519, 3312, 10677, 25963, 563, 2791, 2811, 9896, 909, 630, 663, 649, 2340, 503, 354, 596, 1040, 13772, 585, 938, 8080, 552, 17733, 543, 707, 1101, 19420, 517, 269, 8729, 256, 0, 300, 573, 5174, 809, 4530, 910, 10434, 454, 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, 2480, 17850, 532, 5219, 547, 7214, 20932, 607, 1373, 513, 834, 325, 659, 8372, 540, 519, 13322, 318, 4799, 273, 269, 1703, 568, 1100, 991, 547, 798, 581, 519, 6852, 2149, 528, 540, 18495, 543, 519, 3618, 282, 3079, 267, 1491, 942, 547, 3343, 13322, 318, 563, 274, 269, 715, 30964, 15109, 16895, 547, 723, 513, 1804, 2179, 540, 799, 16023, 888, 275, 269, 1548, 2197, 568, 519, 14544, 781, 22657, 888, 276, 269, 715, 30964, 2829, 602, 6138, 2035, 616, 711, 1945, 602, 786, 8238, 558, 3585, 12223, 13090, 563, 14112, 4828, 5999, 454, 272, 269, 634, 1433, 781, 6037, 1807, 8843, 513, 1650, 827, 519, 1101, 1634, 5299, 540, 834, 5475, 338, 784, 1701, 7316, 729, 621, 286, 1215, 729, 621, 1114, 982, 519, 2663, 8747, 888, 273, 269, 715, 30964, 3947, 606, 7650, 540, 1896, 4529, 543, 10764, 269, 1548, 616, 1010, 5784, 888, 274, 269, 1548, 568, 519, 2278, 781, 6644, 593, 519, 1893, 11064, 888, 275, 269, 1548, 568, 519, 519, 834, 325, 659, 8372, 540, 519, 647, 1440, 553, 839, 1043, 8119, 5808, 22579, 519, 2165, 888, 276, 269, 1215, 1281, 715, 30964, 2491, 519, 4487, 13919, 543, 519, 10553, 13919, 888, 277, 269, 715, 30964, 12909, 827, 519, 32705, 6208, 540, 834, 16451, 14326, 1701, 11512, 563, 278, 269, 1548, 568, 715, 30964, 781, 561, 3512, 3823, 519, 4436, 9997, 888, 279, 269, 1548, 568, 519, 8594, 538, 519, 4720, 540, 519, 11180, 3350, 538, 2342, 888, 280, 269, 1548, 568, 715, 30964, 781, 6644, 593, 519, 4720, 540, 10952, 2035, 888, 1015, 269, 1215, 798, 5289, 1143, 543, 28877, 9192, 538, 519, 2413, 812, 888, 13625, 13445, 476, 272, 454, 32743, 1145, 568, 4686, 538, 519, 1367, 267, 855, 29263, 538, 2516, 543, 6082, 269, 1548, 2186, 540, 32408, 568, 811, 2693, 547, 1491, 1747, 538, 2516, 982, 538, 606, 1367, 286, 1772, 2527, 1728, 3122, 807, 513, 2186, 540, 32408, 286, 1548, 2186, 540, 3527, 1522, 581, 3144, 676, 513, 1895, 602, 23119, 689, 32408, 286, 1215, 798, 1346, 3527, 5635, 547, 519, 3527, 540, 513, 14834, 1367, 286, 1215, 1281, 3909, 32408, 1404, 883, 715, 30964, 781, 3069, 888, 13625, 13445, 476, 273, 454, 2662, 657, 334, 1197, 24515, 28749, 1058, 581, 2386, 267, 602, 538, 8165, 646, 5128, 1281, 711, 1831, 513, 20599, 269, 834, 4517, 950, 596, 1413, 883, 519, 705, 903, 338, 267, 519, 705, 903, 338, 849, 5654, 883, 596, 1701, 901, 568, 513, 1455, 2219, 1851, 1004, 945, 8495, 646, 29532, 10963, 269, 25826, 1946, 543, 875, 621, 568, 2009, 602, 676, 4974, 28749, 835, 666, 1831, 513, 20599, 269, 13129, 513, 1650, 899, 808, 2131, 22690, 543, 5754, 1372, 547, 6961, 707, 1448, 563, 13625, 13445, 476, 274, 454, 5278, 2161, 972, 616, 1079, 2010, 540, 21184, 281, 835, 945, 1193, 1161, 547, 9585, 267, 3035, 267, 543, 4865, 282, 519, 824, 568, 1543, 609, 4758, 4332, 269, 6496, 713, 6138, 4019, 547, 2413, 2528, 286, 1403, 865, 267, 1281, 621, 4019, 811, 610, 1447, 982, 621, 1705, 538, 715, 30964, 781, 1554, 286, 11512, 269, 12315, 1806, 540, 1142, 1826, 540, 21184, 269, 1548, 827, 1142, 2306, 519, 1268, 513, 834, 2102, 3780, 8119, 1548, 616, 519, 7355, 585, 835, 547, 581, 2808, 513, 21184, 286, 11512, 563, 1607, 3296, 3568, 476, 4037, 279, 1913, 454, 26140, 269, 476, 274, 3817, 693, 476, 4968, 1913, 829, 2985, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 1053, 685, 9740, 543, 12802, 1851, 9972, 18520, 3427, 10334, 538, 3687, 3534, 5450, 24227, 267, 20997, 3557, 269, 18947, 6281, 1079, 630, 7704, 273, 264, 1053, 941, 1031, 585, 519, 1353, 1317, 519, 1888, 8593, 896, 519, 21038, 269, 634, 1888, 602, 729, 5701, 729, 968, 9558, 1636, 1062, 6100, 634, 4830, 4756, 540, 519, 1353, 9457, 344, 4804, 15613, 282, 8200, 4632, 616, 9740, 543, 12802, 1247, 519, 15645, 908, 4756, 568, 4008, 269, 634, 1353, 16768, 585, 630, 279, 264, 4374, 563, 272, 269, 279, 7358, 1049, 9502, 540, 2474, 454, 763, 1739, 2474, 941, 1031, 538, 519, 1576, 540, 1353, 912, 10907, 27854, 19793, 22777, 281, 901, 6257, 4081, 4093, 602, 5815, 519, 6708, 547, 799, 513, 2875, 814, 6913, 741, 10709, 532, 3853, 563, 22913, 344, 4804, 281, 1772, 513, 1305, 540, 1895, 2861, 267, 25191, 3450, 543, 1565, 4640, 1759, 593, 519, 23350, 602, 1053, 786, 3035, 513, 1164, 1377, 540, 1620, 538, 513, 4758, 6389, 952, 789, 616, 4758, 2614, 942, 563, 14303, 1549, 281, 31727, 540, 513, 2875, 547, 3180, 543, 3142, 547, 2247, 513, 3965, 540, 519, 5892, 4121, 1983, 267, 1702, 543, 1995, 1282, 543, 1310, 6514, 454, 29638, 281, 634, 1533, 540, 1373, 5256, 610, 4775, 454, 289, 5735, 281, 589, 7936, 540, 1702, 602, 9388, 609, 2713, 7103, 543, 4105, 3157, 563, 7476, 519, 13159, 5741, 454, 1607, 568, 513, 14167, 1788, 1570, 543, 519, 2347, 1382, 1788, 7132, 26830, 543, 8100, 666, 581, 20335, 693, 606, 10097, 2557, 540, 715, 274, 267, 1822, 585, 30645, 7218, 543, 1269, 279, 585, 3486, 7218, 563, 2791, 666, 849, 2638, 824, 3194, 5741, 1934, 912, 268, 19098, 3194, 5741, 454, 268, 16989, 4065, 454, 268, 16581, 3163, 454, 268, 30914, 1299, 16010, 454, 268, 19978, 28613, 1299, 10911, 306, 454, 268, 19978, 28613, 543, 10911, 306, 454, 268, 10334, 4065, 454, 268, 6355, 10029, 454, 268, 8950, 7177, 5741, 454, 268, 8950, 3163, 476, 273, 454, 268, 595, 3234, 11659, 3194, 5741, 454, 268, 7216, 19974, 4065, 454, 268, 9483, 4065, 454, 268, 4065, 3194, 5741, 454, 268, 12409, 10029, 543, 12020, 3194, 5741, 454, 268, 2296, 4065, 454, 268, 7025, 7070, 3194, 5741, 454, 268, 30334, 543, 6076, 18522, 3194, 5741, 454, 268, 3778, 4065, 454, 268, 5274, 918, 27282, 543, 2657, 4065, 454, 268, 31845, 543, 18815, 454, 268, 16373, 3194, 5741, 476, 273, 454, 268, 7136, 9442, 454, 268, 9119, 4065, 454, 268, 6481, 4437, 17190, 5741, 454, 268, 31044, 29007, 454, 268, 11572, 3163, 454, 268, 5398, 10029, 454, 268, 5398, 2657, 3194, 5741, 454, 268, 2859, 3194, 5741, 454, 268, 18815, 5004, 454, 17359, 5741, 1107, 634, 1198, 540, 17117, 1565, 4640, 593, 1053, 685, 9740, 543, 12802, 1851, 9972, 6281, 3506, 0, 5970, 596, 2479, 1185, 519, 4743, 602, 707, 1093, 5255, 666, 2631, 1919, 602, 596, 1175, 666, 1406, 286, 4270, 267, 1382, 568, 11021, 602, 1522, 581, 3020, 950, 621, 2501, 547, 5127, 12961, 269, 1452, 6263, 1814, 1562, 723, 1831, 3833, 519, 7622, 11641, 538, 2487, 1296, 267, 855, 666, 707, 24566, 13959, 2965, 3713, 741, 4527, 286, 769, 713, 2376, 267, 649, 3580, 4685, 883, 519, 4241, 1158, 540, 22578, 5127, 17079, 7020, 543, 1451, 1946, 891, 2185, 6122, 13949, 3713, 1161, 616, 4742, 519, 4154, 3044, 585, 713, 26240, 5652, 1966, 269, 25529, 1472, 547, 3605, 519, 2257, 3297, 621, 782, 543, 10625, 4241, 4030, 883, 938, 2078, 609, 812, 779, 1655, 3659, 563, 4692, 5243, 2995, 952, 596, 723, 5127, 12961, 888, 1103, 2110, 267, 952, 596, 14353, 596, 723, 5127, 12961, 267, 8744, 538, 513, 22578, 5127, 17079, 18785, 1223, 581, 513, 3014, 7302, 9734, 269, 1452, 5243, 616, 3810, 9952, 693, 1018, 789, 798, 267, 543, 789, 666, 4688, 596, 513, 2603, 540, 2566, 543, 17140, 538, 519, 1279, 2196, 2336, 12648, 513, 1413, 693, 713, 4241, 3381, 593, 16170, 645, 13903, 267, 594, 10018, 596, 3580, 1265, 621, 4277, 912, 289, 539, 645, 13903, 543, 13928, 24544, 454, 289, 539, 12961, 616, 1507, 267, 26220, 7786, 602, 723, 1500, 513, 1713, 2097, 3724, 538, 2487, 1296, 269, 1358, 616, 5393, 2352, 547, 3713, 543, 30817, 267, 799, 814, 19430, 1082, 1004, 547, 2490, 547, 7463, 11641, 1852, 2533, 585, 948, 269, 2290, 1907, 602, 891, 2533, 8415, 568, 519, 16994, 2631, 540, 9329, 22234, 676, 5243, 267, 799, 6087, 891, 2831, 547, 3713, 519, 4527, 540, 5127, 12961, 538, 1004, 779, 5321, 563, 1692, 17268, 23618, 16170, 645, 13903, 888, 291, 9233, 616, 2111, 547, 3713, 519, 4527, 540, 5127, 12961, 1813, 547, 519, 1808, 20416, 602, 891, 7786, 12520, 269, 16170, 12961, 5305, 32176, 668, 2158, 602, 616, 2189, 547, 741, 2249, 267, 799, 5243, 616, 8036, 547, 5431, 269, 901, 568, 2944, 676, 20392, 5243, 547, 519, 20416, 540, 5127, 12961, 538, 513, 6417, 1604, 543, 14785, 873, 585, 7157, 7114, 621, 269, 3683, 942, 267, 519, 5243, 1451, 547, 5431, 519, 20416, 540, 5127, 12961, 543, 666, 8308, 3950, 873, 1524, 16382, 789, 949, 581, 15720, 563, 306, 1417, 24544, 9751, 585, 17268, 454, 763, 1184, 540, 2866, 5243, 547, 3713, 5127, 12961, 568, 1572, 20416, 7020, 2866, 269, 901, 3322, 20392, 519, 5243, 547, 519, 20416, 540, 5127, 12961, 538, 513, 3099, 540, 5054, 267, 1519, 8900, 6306, 906, 543, 15678, 11623, 269, 4438, 713, 2866, 267, 519, 5243, 616, 30039, 609, 13000, 543, 17192, 8164, 789, 6707, 2697, 519, 20416, 540, 5127, 12961, 269, 901, 2318, 15699, 7512, 519, 5243, 547, 3136, 547, 3713, 713, 20416, 538, 519, 2104, 563, 5278, 2915, 14981, 616, 1732, 14018, 585, 20416, 7020, 960, 982, 1866, 269, 1280, 1383, 267, 581, 24346, 616, 1634, 585, 741, 5140, 2631, 540, 9329, 543, 723, 1044, 1031, 14916, 538, 5127, 17079, 7020, 269, 1717, 267, 1022, 2915, 666, 5732, 581, 8036, 547, 3713, 5127, 12961, 952, 789, 723, 513, 2178, 2614, 8404, 543, 7287, 547, 960, 563, 763, 6452, 5596, 540, 2052, 710, 16170, 645, 1872, 24544, 454, 22137, 723, 3254, 602, 5243, 8036, 547, 3713, 5127, 12961, 616, 3810, 4977, 538, 741, 4681, 269, 769, 835, 1353, 267, 8036, 5243, 941, 2111, 547, 3713, 519, 4527, 540, 5127, 12961, 609, 606, 6111, 2557, 540, 476, 7176, 10065, 901, 568, 606, 11141, 1377, 540, 6111, 602, 2484, 20489, 602, 540, 2757, 3308, 24422, 267, 799, 666, 4413, 5127, 12961, 15720, 538, 2182, 3562, 3146, 778, 2127, 563, 3963, 616, 17268, 13242, 585, 16170, 645, 1872, 24544, 888, 763, 946, 540, 5243, 585, 5127, 17079, 7020, 568, 4742, 5051, 2442, 1813, 547, 519, 1739, 4128, 912, 1700, 17268, 616, 3810, 4977, 538, 741, 4681, 267, 799, 666, 4688, 942, 543, 2724, 538, 519, 11641, 1852, 1184, 563, 1700, 17268, 616, 2111, 547, 3713, 5127, 12961, 538, 2127, 602, 616, 2352, 585, 3425, 547, 1569, 267, 971, 607, 3774, 642, 6950, 543, 5122, 19093, 563, 1700, 17268, 616, 1875, 29554, 543, 798, 711, 2014, 1022, 3441, 547, 3959, 1282, 519, 7020, 1184, 563, 19119, 540, 4635, 17268, 585, 16170, 645, 1872, 24544, 454, 2467, 616, 1896, 2640, 547, 1210, 5243, 585, 5127, 17079, 7020, 267, 1519, 912, 1700, 16842, 6111, 281, 17268, 616, 2111, 547, 3713, 5127, 12961, 609, 513, 1164, 1377, 540, 6111, 267, 799, 666, 4688, 942, 543, 2724, 538, 519, 11641, 1852, 1184, 563, 1700, 6348, 29554, 281, 17268, 798, 711, 2014, 1022, 3441, 547, 3959, 1282, 519, 7020, 1184, 267, 7429, 2757, 2409, 971, 607, 751, 2130, 6306, 6821, 543, 11647, 3168, 585, 5127, 12961, 563, 1700, 674, 2120, 7020, 281, 17268, 666, 3533, 543, 7561, 3406, 606, 1858, 585, 5127, 12961, 267, 799, 666, 3432, 909, 519, 11641, 1852, 1184, 563, 14454, 267, 519, 946, 540, 5243, 585, 5127, 17079, 7020, 3091, 1896, 5383, 936, 2757, 2409, 543, 568, 4742, 606, 5051, 2442, 3903, 585, 11641, 1852, 2533, 563, 21918, 14591, 540, 2052, 710, 16170, 645, 1872, 24544, 454, 4407, 519, 946, 540, 5243, 585, 5127, 17079, 7020, 568, 3810, 2500, 267, 972, 616, 930, 7687, 547, 713, 1935, 269, 1452, 1331, 912, 1700, 634, 1942, 281, 670, 3931, 513, 22578, 5127, 17079, 7020, 3028, 666, 581, 811, 7199, 982, 2757, 11641, 1852, 2409, 563, 1700, 634, 1761, 585, 7301, 1064, 14476, 281, 17268, 666, 10332, 547, 2127, 1141, 5127, 12961, 723, 1044, 538, 519, 2250, 855, 711, 1141, 789, 616, 4867, 4092, 563, 1700, 634, 991, 585, 7463, 1688, 6840, 281, 17268, 2154, 1688, 6840, 945, 616, 8036, 538, 741, 2623, 543, 875, 547, 4612, 741, 4681, 267, 799, 8591, 606, 3063, 4494, 540, 6988, 547, 519, 1184, 563, 8601, 891, 7687, 267, 519, 946, 540, 5243, 585, 5127, 17079, 7020, 3788, 606, 2500, 1907, 585, 11641, 1852, 2533, 543, 568, 2693, 547, 3136, 547, 1332, 538, 8560, 269, 0, 5970, 596, 2479, 530, 7505, 909, 4743, 28349, 543, 13943, 267, 1152, 547, 8275, 602, 596, 4076, 1044, 4687, 707, 5127, 609, 930, 7938, 4372, 14538, 286, 16170, 12961, 616, 26240, 5652, 2370, 7068, 602, 666, 2014, 513, 2603, 540, 8373, 952, 2451, 31250, 269, 1809, 875, 1279, 666, 5127, 12961, 2965, 7639, 593, 707, 20974, 816, 267, 7996, 585, 741, 1985, 7594, 286, 901, 2243, 814, 1044, 513, 2707, 540, 6161, 543, 4160, 585, 1082, 1004, 945, 723, 17388, 609, 5127, 17079, 28383, 269, 769, 713, 2376, 267, 649, 3580, 5490, 883, 519, 1158, 540, 5127, 12961, 543, 2263, 3388, 596, 991, 547, 917, 827, 741, 14438, 593, 513, 20974, 816, 269, 11565, 803, 267, 596, 4465, 1406, 1616, 547, 4413, 713, 563, 1692, 1279, 666, 5127, 12961, 2661, 593, 513, 20974, 816, 888, 2005, 779, 1271, 547, 4063, 602, 3478, 7759, 540, 5127, 12961, 666, 581, 513, 4101, 1184, 267, 2523, 952, 789, 723, 1102, 6479, 707, 20974, 816, 269, 1403, 596, 14353, 602, 596, 723, 513, 5127, 17079, 1966, 267, 621, 779, 1655, 547, 5077, 609, 513, 11641, 1852, 3318, 945, 666, 3391, 596, 998, 519, 1184, 540, 14874, 891, 13311, 14538, 689, 707, 1753, 563, 12648, 513, 1413, 693, 713, 4241, 3381, 593, 16170, 645, 13903, 267, 594, 10018, 596, 3580, 1265, 621, 4277, 912, 1692, 7043, 2052, 16170, 645, 13903, 14970, 538, 513, 20917, 816, 888, 2026, 513, 5127, 17079, 4274, 267, 835, 2243, 602, 594, 6557, 1419, 4280, 568, 875, 1279, 891, 26240, 5652, 10860, 666, 2661, 538, 513, 20974, 816, 269, 2755, 519, 2626, 949, 4268, 4470, 593, 519, 6381, 267, 621, 779, 1271, 547, 1174, 519, 2623, 540, 5127, 12961, 538, 1931, 547, 2061, 610, 1521, 606, 23588, 563, 8139, 16170, 645, 1872, 10263, 454, 289, 539, 12961, 616, 6263, 7786, 602, 616, 13631, 547, 3425, 543, 2831, 585, 741, 1973, 269, 1358, 3335, 3049, 593, 513, 2834, 4493, 267, 799, 568, 2356, 1169, 476, 274, 268, 278, 2395, 269, 1717, 267, 789, 666, 979, 1510, 1426, 585, 607, 1279, 607, 3670, 3275, 693, 513, 942, 269, 4438, 713, 1974, 267, 5127, 12961, 979, 883, 513, 1533, 540, 18959, 3599, 543, 8532, 1152, 513, 1507, 2179, 540, 1648, 267, 7996, 585, 513, 3984, 547, 2132, 563, 289, 539, 12961, 616, 29200, 585, 741, 2702, 547, 1491, 909, 15335, 538, 20974, 19843, 543, 824, 2571, 29939, 902, 267, 1818, 621, 2352, 547, 3713, 543, 1205, 7759, 540, 606, 23588, 563, 1692, 7043, 2052, 16170, 645, 13903, 18984, 633, 9453, 513, 10552, 2725, 531, 888, 289, 539, 12961, 7048, 593, 1973, 6980, 585, 6668, 543, 666, 1406, 16196, 1510, 873, 269, 1358, 946, 606, 28608, 581, 752, 547, 533, 15127, 519, 2960, 540, 741, 3984, 543, 1349, 1973, 269, 4495, 789, 4076, 1185, 741, 6445, 267, 789, 18956, 1394, 547, 741, 15720, 9634, 547, 7558, 543, 19898, 563, 289, 539, 12961, 666, 2661, 585, 1896, 3275, 1510, 513, 1973, 7594, 896, 519, 1318, 2175, 269, 901, 568, 1317, 789, 666, 2539, 741, 10894, 2557, 543, 4283, 513, 1533, 540, 18959, 3599, 269, 1717, 267, 789, 2461, 811, 2693, 547, 5884, 1282, 713, 1974, 952, 789, 2461, 6534, 547, 3665, 5210, 610, 513, 3668, 540, 11195, 563, 18698, 519, 5020, 18888, 540, 16170, 645, 13903, 454, 289, 539, 12961, 723, 513, 1950, 1272, 4783, 602, 2882, 2947, 5933, 540, 1646, 281, 4212, 267, 562, 8233, 267, 543, 2937, 269, 634, 5798, 616, 9788, 538, 1507, 1212, 341, 1182, 543, 18015, 543, 3335, 24011, 1369, 513, 3018, 610, 1079, 269, 634, 562, 8233, 338, 18613, 9910, 8747, 540, 519, 2937, 5127, 12961, 543, 1020, 998, 2947 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2048, 2710, 713, 281, 1491, 530, 30368, 689, 519, 2244, 540, 5527, 585, 707, 2370, 3283, 543, 585, 707, 24726, 267, 543, 3142, 707, 4651, 267, 543, 2097, 269, 476, 736, 5620, 1100, 6161, 585, 707, 5370, 267, 585, 519, 1655, 540, 782, 519, 2244, 540, 5527, 568, 16523, 10200, 7536, 2641, 634, 14930, 540, 5840, 1705, 865, 281, 543, 9478, 5795, 873, 530, 30368, 267, 2687, 547, 519, 4971, 540, 31279, 267, 543, 5795, 873, 14074, 585, 519, 3460, 269, 476, 2420, 1677, 1142, 543, 782, 540, 873, 646, 5795, 513, 1689, 540, 9660, 267, 855, 547, 18148, 646, 5795, 1614, 4627, 1352, 330, 1564, 540, 8988, 543, 2947, 2242, 540, 9660, 269, 476, 2537, 1677, 1010, 4651, 646, 2366, 607, 5205, 281, 4557, 1810, 12399, 16041, 609, 519, 1434, 1919, 540, 5527, 267, 543, 4557, 4775, 1810, 12399, 16041, 609, 10286, 267, 3694, 267, 543, 11865, 585, 1010, 4651, 593, 519, 3460, 269, 476, 2190, 3973, 646, 2366, 1010, 14552, 2476, 267, 543, 607, 789, 8977, 539, 267, 646, 1767, 547, 873, 267, 968, 2710, 711, 29170, 7758, 593, 519, 1259, 3034, 1839, 1924, 789, 4682, 909, 856, 540, 5527, 543, 3357, 547, 519, 2244, 540, 2052, 22528, 547, 741, 4651, 15243, 269, 476, 2918, 1656, 789, 5143, 1864, 267, 968, 297, 24944, 568, 1869, 9800, 267, 543, 646, 568, 14610, 936, 782, 519, 2244, 540, 5527, 1848, 1656, 1010, 2295, 2968, 15381, 267, 585, 646, 1705, 711, 3494, 873, 269, 476, 2767, 1809, 950, 789, 5143, 1864, 782, 519, 1913, 540, 9478, 267, 799, 646, 1185, 1767, 547, 873, 267, 543, 950, 646, 4718, 519, 530, 30368, 602, 9478, 1185, 2366, 547, 4163, 1864, 267, 519, 6891, 540, 741, 4651, 15243, 2847, 1882, 269, 476, 2764, 1656, 5840, 1767, 267, 968, 2005, 568, 2614, 282, 9478, 1250, 5067, 568, 1869, 9800, 269, 594, 786, 979, 543, 1294, 1864, 1354, 594, 5884, 3034, 5379, 281, 272, 1924, 5840, 3576, 1010, 3460, 609, 782, 602, 646, 1185, 543, 3357, 547, 2142, 619, 515, 9346, 267, 543, 6035, 24279, 547, 519, 2696, 540, 1010, 4651, 21469, 269, 476, 273, 1656, 2696, 12038, 547, 5840, 538, 22649, 540, 519, 3781, 543, 1767, 267, 968, 297, 659, 984, 267, 15243, 1848, 1656, 646, 1767, 267, 968, 2080, 594, 993, 1848, 476, 274, 3973, 646, 1767, 267, 968, 296, 993, 2696, 267, 519, 2696, 540, 707, 4651, 269, 1684, 711, 581, 12922, 547, 979, 1524, 547, 5527, 267, 585, 972, 594, 786, 1118, 596, 883, 513, 1390, 4182, 269, 476, 275, 594, 8885, 786, 979, 1524, 609, 596, 547, 5527, 267, 543, 594, 786, 849, 3142, 596, 909, 1586, 267, 543, 9478, 779, 1688, 4927, 2673, 707, 4064, 3034, 276, 3973, 15243, 1305, 856, 689, 2142, 619, 515, 9346, 269, 634, 14930, 540, 5840, 5645, 15243, 741, 4651, 267, 741, 2370, 3283, 267, 543, 741, 24726, 267, 538, 519, 530, 30368, 602, 31279, 1185, 2366, 547, 4163, 1864, 269, 476, 277, 1358, 849, 3576, 741, 13184, 543, 741, 5370, 267, 799, 789, 1185, 6591, 538, 519, 2244, 540, 2052, 22528, 267, 543, 3357, 883, 5527, 267, 15243, 543, 782, 1010, 15556, 609, 1864, 267, 476, 278, 1010, 14930, 267, 543, 1010, 14930, 685, 14930, 609, 1864, 267, 1010, 20766, 267, 543, 1010, 14930, 685, 20766, 269, 2353, 1010, 15556, 646, 4547, 609, 1864, 883, 5527, 563, 279, 3767, 891, 616, 519, 4408, 540, 519, 18939, 540, 5840, 267, 945, 3357, 883, 5527, 267, 15243, 543, 1010, 14930, 269, 1234, 889, 523, 267, 15243, 779, 1101, 9799, 267, 476, 280, 543, 519, 14930, 540, 1234, 889, 523, 281, 12390, 5255, 267, 623, 718, 340, 267, 1261, 345, 1258, 267, 543, 25844, 328, 269, 476, 1015, 634, 14930, 540, 590, 830, 517, 281, 808, 655, 3241, 267, 808, 3133, 267, 7937, 611, 267, 808, 778, 514, 267, 2098, 2129, 541, 267, 543, 1744, 4954, 267, 519, 5067, 540, 513, 2052, 22528, 924, 4807, 269, 476, 1556, 634, 14930, 540, 2274, 12858, 281, 717, 619, 327, 517, 267, 918, 2129, 987, 267, 543, 8585, 926, 269, 476, 1321, 634, 14930, 540, 28311, 281, 8210, 267, 2201, 534, 267, 17125, 1695, 267, 28828, 345, 267, 543, 2098, 518, 1695, 630, 8117, 8210, 543, 2201, 534, 5747, 538, 519, 2244, 540, 2052, 22528, 5148, 543, 519, 14930, 540, 28828, 345, 941, 1261, 345, 1258, 543, 8621, 592, 269, 476, 1724, 634, 14930, 540, 9129, 778, 541, 281, 570, 7637, 267, 10658, 341, 1695, 267, 962, 984, 267, 543, 1744, 574, 1258, 269, 476, 1691, 634, 14930, 540, 14858, 12712, 684, 281, 590, 1229, 267, 4432, 517, 267, 543, 808, 1695, 548, 601, 269, 476, 1428, 1452, 616, 519, 14930, 540, 2274, 1695, 267, 7247, 1352, 16004, 547, 15243, 538, 623, 5417, 534, 268, 541, 600, 267, 1927, 609, 1010, 8250, 20550, 1695, 282, 15587, 1010, 14930, 543, 1010, 20766, 22921, 13977, 31644, 563, 1626, 634, 14930, 540, 717, 611, 281, 2098, 13023, 542, 267, 670, 12000, 328, 267, 1744, 27376, 267, 26442, 2548, 267, 661, 686, 267, 589, 549, 10972, 267, 543, 3657, 2993, 269, 476, 1704, 634, 14930, 540, 1306, 615, 281, 1955, 333, 1695, 267, 1772, 327, 341, 1695, 267, 1772, 327, 12858, 267, 645, 4997, 327, 267, 609, 5395, 1695, 741, 11078, 269, 1656, 519, 14930, 540, 645, 4997, 327, 281, 1261, 828, 543, 5689, 577, 1408, 269, 476, 1240, 1452, 616, 519, 14930, 540, 2098, 559, 335, 1695, 267, 7247, 6997, 534, 5795, 547, 2274, 1695, 1010, 8250, 282, 543, 891, 1352, 16004, 547, 15243, 1765, 338, 4869, 8696, 7606, 563, 866, 634, 14930, 540, 24981, 267, 15243, 779, 7385, 281, 9478, 543, 18148, 269, 476, 736, 1656, 547, 9478, 538, 519, 2244, 540, 5527, 941, 4535, 2494, 21692, 327, 543, 661, 874, 571, 574, 267, 7247, 1306, 523, 987, 267, 519, 8250, 540, 8000, 760, 515, 571, 519, 17308, 540, 2201, 267, 16004, 547, 1864, 269, 476, 2641, 1656, 519, 14930, 540, 18148, 281, 5617, 320, 267, 645, 1815, 615, 267, 12891, 10964, 267, 717, 5028, 267, 10878, 16120, 267, 661, 6062, 267, 681, 9655, 267, 631, 6269, 574, 267, 670, 6269, 574, 267, 543, 1488, 323, 269, 476, 2420, 1452, 616, 519, 14930, 540, 24981, 267, 945, 941, 4535, 547, 15243, 1765, 27917, 10117, 7606, 538, 782, 563, 2537, 634, 5067, 540, 8355, 281, 670, 2313, 574, 269, 476, 2190, 634, 14930, 540, 715, 7469, 2145, 328, 281, 808, 1695, 2763, 601, 267, 25511, 328, 267, 8614, 10045, 267, 543, 1744, 4068, 332, 269, 476, 1839, 1452, 616, 519, 14930, 540, 31167, 327, 1695, 267, 7247, 6997, 534, 5795, 547, 24981, 1010, 8250, 267, 543, 891, 1352, 16004, 547, 15243, 1765, 572, 1597, 7606, 538, 782, 563, 2918, 2353, 519, 7606, 10362, 547, 15243, 945, 3357, 883, 5527, 267, 945, 941, 1010, 1378, 18939, 267, 711, 1519, 15243, 779, 14930, 685, 24726, 267, 941, 24239, 29350, 7606, 538, 782, 269, 476, 2767, 1656, 519, 14930, 540, 9478, 267, 945, 941, 4535, 547, 1864, 538, 5527, 267, 941, 1079, 269, 2353, 519, 7606, 540, 519, 2777, 540, 15243, 945, 3357, 883, 5527, 941, 29235, 563, 263, 2464, 309, 264, 8448, 2487, 10752, 693, 21741, 1716, 12386, 540, 6424, 912, 347, 28095, 3018, 1475, 16729, 3018, 2008, 347, 26872, 631, 1731, 28856, 476, 275, 1475, 309, 599, 580, 1662, 476, 273, 9732, 347, 0, 288, 4807, 5641, 338, 1200, 3440, 582, 693, 513, 1135, 1782, 6728, 1282, 513, 20359, 16232, 9550, 538, 645, 600, 752, 334, 267, 5689, 328, 593, 4119, 269, 476, 1321, 267, 476, 1001, 279, 563, 16978, 687, 616, 9277, 547, 3180, 14761, 18177, 281, 12079, 10118, 945, 4250, 9561, 741, 10160, 786, 960, 9875, 585, 17037, 269, 1809, 538, 930, 2477, 267, 2797, 6735, 2965, 2306, 2229, 8338, 563, 7419, 4229, 693, 513, 17195, 15805, 18992, 3544, 645, 600, 752, 334, 267, 5689, 328, 267, 538, 476, 1001, 278, 1739, 606, 4323, 563, 300, 8932, 814, 1185, 513, 31341, 6681, 476, 1001, 279, 267, 543, 476, 1001, 280, 1522, 711, 581, 1022, 1732, 563, 289, 539, 24437, 5701, 609, 5521, 8336, 723, 1044, 2500, 538, 8165, 13663, 538, 4000, 563, 763, 4339, 1996, 13663, 2115, 3621, 5647, 269, 1809, 2146, 4444, 2987, 568, 1175, 607, 1271, 563, 1103, 5689, 328, 267, 29009, 1235, 723, 1831, 5051, 29832, 745, 660, 1194, 609, 513, 2392, 2218, 543, 18348, 1533, 563, 15463, 10249, 543, 6705, 616, 29043, 827, 519, 1259, 513, 18348, 1533, 7518, 1080, 6917, 27998, 563, 11045, 13024, 540, 5689, 328, 779, 5518, 594, 3630, 29538, 645, 12874, 659, 541, 3223, 7534, 538, 519, 3854, 645, 600, 752, 334, 563, 18823, 3518, 550, 594, 3630, 29538, 645, 12874, 659, 541, 3223, 25771, 3279, 786, 581, 5689, 328, 779, 1985, 7022, 855, 606, 11389, 5658, 762, 1101, 2165, 267, 543, 513, 30096, 9550, 267, 1223, 2322, 513, 7202, 538, 1010, 9371, 563, 4692, 6598, 10136, 12446, 547, 513, 6167, 3490, 538, 717, 7776, 267, 5689, 328, 267, 593, 538, 4873, 476, 1001, 279, 267, 8015, 606, 1202, 4026, 1890, 676, 795, 8811, 611, 626, 543, 6803, 31111, 2516, 269, 4516, 814, 2943, 547, 20818, 24476, 593, 519, 3979, 2197, 1317, 621, 19330, 4408, 547, 3077, 585, 10697, 1863, 8240, 543, 824, 3800, 563, 15578, 11404, 2793, 14888, 3198, 11553, 8577, 270, 5353, 534, 18741, 6312, 4459, 454, 763, 5313, 2229, 814, 1305, 11735, 1269, 2420, 269, 273, 2929, 547, 1020, 543, 1071, 268, 15453, 24476, 1247, 18997, 23671, 827, 741, 13800, 269, 7316, 547, 1376, 568, 519, 1101, 2243, 563, 288, 16263, 11329, 693, 519, 22839, 1657, 7354, 20235, 547, 7001, 519, 24974, 1624, 738, 566, 563, 293, 3757, 9809, 12251, 2051, 553, 267, 17325, 6737, 790, 632, 8303, 267, 6184, 527, 26623, 632, 631, 2946, 4754, 1664, 22966, 652, 324, 1696, 632, 6726, 964, 661, 874, 2946, 332, 2946, 337, 1938, 454, 25938, 20235, 814, 1500, 1390, 26058, 538, 17651, 543, 19236, 9443, 538, 2487, 1296, 563, 763, 1004, 540, 20997, 723, 1044, 13889, 532, 1996, 519, 4527, 540, 4914, 10136, 538, 741, 2197, 563, 763, 1628, 5346, 540, 4914, 11439, 4229, 1281, 711, 536, 1712, 1134, 585, 519, 4961, 540, 20997, 563, 288, 1126, 11392, 519, 9093, 17682, 686, 309, 659, 12814, 6669, 538, 8738, 330, 2088, 674, 553, 334, 563, 309, 3147, 1149, 602, 948, 2061, 23971, 25497, 5632, 2068, 1810, 1406, 2285, 10715, 4027, 563, 23210, 7980, 29862, 538, 4144, 629, 3315, 267, 5689, 328, 267, 538, 476, 1001, 274, 267, 1739, 519, 5821, 540, 519, 3979, 8081, 17030, 563, 18183, 12787, 3270, 538, 4000, 723, 4957, 6385, 538, 2487, 1296, 30286, 513, 4161, 547, 4708, 543, 3354, 563, 300, 6501, 7022, 594, 3630, 29538, 645, 12874, 659, 541, 3223, 25771, 3279, 693, 519, 2487, 22847, 27169, 538, 24381, 11939, 807, 563, 300, 8932, 8188, 5458, 2591, 269, 3414, 519, 14232, 16232, 9550, 267, 5689, 2103, 786, 2995, 519, 1985, 7022, 1018, 789, 786, 543, 4465, 1406, 3398, 585, 741, 2104, 563, 763, 2212, 540, 519, 6167, 5692, 538, 22096, 5261, 4210, 532, 630, 16149, 2451, 264, 538, 476, 1220, 274, 563, 292, 5183, 11682, 5588, 302, 270, 11321, 1723, 7043, 926, 454, 763, 6167, 8992, 2199, 9562, 538, 4708, 2679, 267, 799, 568, 2352, 547, 3035, 563, 300, 6501, 27540, 631, 600, 3716, 537, 717, 817, 4821, 1558, 3943, 7022, 2506, 28609, 5839, 1258, 593, 2904, 476, 2420, 267, 476, 1001, 279, 269, 1261, 729, 13166, 2016, 3943, 15114, 4166, 1310, 563, 1432, 568, 513, 5869, 286, 1403, 5518, 5839, 1258, 2731, 15055, 12325, 267, 12582, 1406, 646, 23590, 1010, 2856, 540, 1018, 646, 7125, 968, 11296, 20404, 892, 888, 2467, 779, 811, 543, 811, 1434, 2257, 3377, 4947, 689, 4000, 563, 2467, 616, 1896, 3785, 543, 7341, 602, 2709, 4126, 8015, 782, 519, 3983, 3377, 827, 3979, 2257, 563, 303, 770, 7394, 1235, 593, 513, 3819, 10750, 538, 3844, 5689, 328, 267, 835, 540, 519, 5722, 15223, 3559, 2477, 5734, 676, 513, 5951, 540, 14686, 6285, 563, 288, 2462, 4473, 538, 11439, 6285, 538, 519, 15223, 3559, 910, 543, 519, 8515, 540, 519, 6285, 538, 2487, 1296, 910, 568, 1631, 2938, 607, 513, 2101, 2707, 540, 6161, 563, 20779, 7095, 6243, 540, 22096, 779, 5518, 9478, 918, 8494, 320, 269, 5384, 547, 1900, 11735, 563, 22152, 320, 2115, 2178, 5238, 269, 1809, 789, 666, 1152, 581, 3710, 952, 972, 779, 513, 1689, 538, 5718, 563, 763, 4279, 17018, 4302, 540, 30622, 3317, 2946 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 634, 17280, 20927, 849, 3568, 1079, 5036, 540, 31452, 282, 1031, 676, 519, 17280, 14305, 6620, 547, 2226, 519, 2949, 2497, 540, 519, 17280, 7535, 563, 4322, 2055, 949, 2097, 547, 18362, 616, 949, 711, 2097, 547, 11400, 269, 11512, 538, 1469, 827, 519, 1686, 540, 1133, 1460, 21952, 7010, 269, 12315, 930, 4128, 585, 8560, 543, 1967, 540, 519, 1133, 1460, 13013, 269, 18378, 6041, 540, 6119, 286, 589, 1184, 538, 519, 1133, 1460, 1062, 666, 14892, 538, 1079, 12331, 267, 17830, 610, 3593, 7154, 563, 288, 2027, 11578, 1572, 519, 10518, 24072, 6920, 519, 1699, 10518, 3178, 269, 1703, 1906, 18362, 568, 2943, 547, 2347, 543, 849, 519, 18362, 568, 2469, 547, 1376, 585, 1101, 19496, 593, 5130, 4935, 267, 10945, 6825, 476, 2764, 267, 476, 275, 267, 476, 5038, 2099, 10889, 619, 593, 519, 19474, 20313, 585, 1025, 330, 1100, 476, 271, 1110, 476, 275, 269, 1879, 23142, 1804, 5666, 540, 1239, 267, 519, 3063, 5299, 25815, 1524, 519, 2773, 267, 855, 950, 23142, 1507, 5666, 540, 1239, 267, 621, 10607, 2773, 1317, 519, 17830, 10889, 619, 519, 1239, 1210, 5690, 1205, 4565, 330, 543, 16607, 2328, 2394, 621, 568, 22237, 547, 10141, 547, 610, 689, 519, 12210, 563, 763, 7387, 3705, 1206, 519, 1101, 2262, 540, 513, 4971, 1899, 607, 513, 4971, 2012, 267, 519, 7387, 585, 802, 543, 519, 1126, 1184, 4291, 338, 519, 4971, 2404, 609, 519, 2012, 267, 8156, 519, 6967, 1913, 593, 519, 4971, 1899, 607, 6724, 547, 519, 4971, 563, 28319, 823, 10256, 616, 519, 17830, 13838, 602, 524, 338, 13136, 2764, 519, 5106, 540, 15672, 3457, 269, 634, 3593, 524, 14369, 1708, 279, 3568, 519, 7440, 267, 2199, 4632, 267, 543, 824, 1239, 585, 3252, 22589, 538, 3593, 7154, 269, 1358, 1289, 519, 1482, 1305, 540, 1062, 1289, 2139, 547, 519, 2489, 2146, 563, 288, 1184, 568, 519, 11056, 540, 513, 1982, 269, 2290, 538, 1712, 568, 519, 3597, 538, 1712, 540, 519, 3758, 1062, 269, 634, 1239, 602, 519, 1101, 3157, 2328, 883, 519, 10612, 568, 519, 3403, 585, 519, 2034, 3157, 563, 3383, 267, 681, 527, 2151, 2919, 621, 883, 513, 1893, 595, 267, 3850, 5108, 540, 3684, 3009, 267, 17083, 540, 1239, 2010, 543, 4214, 540, 1239, 3889, 563, 2691, 519, 17830, 1569, 525, 513, 12210, 3625, 267, 621, 19707, 585, 513, 17280, 609, 519, 3617, 3926, 1532, 6674, 1297, 4999, 269, 1548, 568, 17830, 1184, 3349, 888, 763, 1184, 1852, 1016, 17882, 568, 3743, 585, 1184, 15222, 1436, 267, 954, 15263, 2792, 267, 3965, 2359, 267, 543, 1184, 20319, 269, 13555, 721, 827, 713, 2376, 563, 25284, 1569, 3457, 609, 1482, 16105, 789, 946, 950, 17034, 2834, 6119, 269, 11153, 1949, 616, 538, 3044, 1062, 19383, 616, 1634, 607, 12981, 269, 16323, 3349, 13366, 4766, 519, 10305, 540, 519, 3148, 267, 971, 607, 2436, 621, 3568, 1257, 610, 1239, 267, 2436, 621, 568, 3838, 610, 4357, 267, 543, 1141, 519, 1239, 540, 519, 3148, 568, 4092, 538, 3965, 563, 5141, 2727, 610, 3346, 721, 827, 713, 8756, 269, 3962, 3758, 1062, 814, 2706, 3625, 282, 713, 535, 338, 1708, 279, 519, 2497, 543, 9115, 540, 519, 3758, 1062, 563, 5425, 6167, 21197, 2902, 1023, 19590, 476, 272, 543, 476, 273, 17976, 11872, 1107, 3474, 341, 27821, 9990, 454, 2304, 3534, 2160, 5437, 5412, 22410, 616, 2469, 593, 585, 519, 2362, 5033, 22246, 799, 568, 3592, 1439, 1369, 713, 5412, 269, 8950, 3163, 543, 7177, 281, 634, 2450, 540, 513, 9266, 3625, 568, 24267, 609, 538, 513, 3758, 1062, 855, 949, 4268, 1063, 1114, 3758, 1062, 538, 513, 1062, 12122, 563, 763, 17280, 2212, 619, 4453, 476, 273, 269, 634, 17830, 568, 711, 513, 5094, 1305, 540, 3157, 602, 2196, 538, 6252, 547, 3593, 3157, 267, 855, 621, 568, 513, 851, 540, 1142, 3593, 1184, 269, 12059, 267, 513, 4971, 666, 581, 4835, 7387, 4971, 3079, 540, 608, 324, 3758, 269, 634, 2055, 616, 3144, 676, 2852, 13623, 543, 789, 2932, 543, 6218, 1369, 519, 2852, 269, 16828, 267, 22876, 645, 1659, 752, 839, 267, 543, 796, 331, 4169, 519, 17280, 267, 3850, 2901, 22876, 589, 610, 595, 547, 2744, 1569, 547, 519, 17280, 563, 10521, 2101, 3334, 540, 519, 17830, 281, 2755, 945, 4291, 2373, 267, 519, 7387, 3649, 1080, 585, 621, 547, 9096, 543, 1287, 12987, 519, 3593, 585, 1776, 4971, 269, 20305, 723, 519, 12588, 547, 14892, 1082, 3157, 8195, 267, 543, 3157, 666, 1711, 824, 3157, 29858, 543, 15222, 1125, 741, 11056, 563, 763, 1184, 3349, 3568, 610, 2798, 547, 513, 829, 1184, 3148, 3349, 267, 4171, 13366, 1448, 547, 524, 338, 13136, 279, 538, 513, 3148, 3349, 269, 21952, 3590, 7896, 522, 634, 2533, 3177, 676, 519, 17830, 616, 281, 1879, 22589, 1224, 543, 2328, 1062, 7125, 267, 519, 17830, 954, 321, 1023, 519, 3758, 6934, 528, 547, 1569, 519, 3593, 3758, 6934, 528, 3349, 267, 5205, 513, 31452, 547, 519, 3758, 3349, 543, 538, 1712, 3349, 13366, 267, 543, 267, 689, 519, 538, 1712, 267, 9060, 519, 1239, 538, 519, 3758, 563, 6624, 3157, 666, 8195, 3207, 593, 606, 2680, 282, 950, 606, 2680, 4386, 267, 782, 3157, 12008, 593, 519, 2680, 12687, 909, 1317, 519, 2680, 2783, 568, 1100, 3476, 3020, 563, 2419, 14128, 18280, 690, 4427, 7611, 18280, 690, 269, 589, 10316, 1062, 609, 2220, 6260, 543, 3747, 533, 1645, 286, 27122, 267, 519, 17830, 3096, 547, 13861, 10889, 619, 538, 519, 17280, 21461, 269, 25674, 2208, 540, 6119, 267, 286, 1215, 827, 3478, 2407, 1569, 5612, 286, 0, 1103, 519, 3803, 2022, 540, 938, 2110, 3126, 593, 519, 1225, 566, 1747, 906, 540, 938, 22384, 21541, 619, 585, 519, 8892, 267, 932, 331, 4141, 14986, 3947, 721, 606, 5813, 883, 519, 960, 1352, 814, 1044, 3257, 538, 519, 670, 2096, 523, 30601, 8257, 269, 634, 670, 2096, 523, 30601, 1331, 782, 10987, 267, 17605, 543, 729, 1186, 267, 855, 932, 331, 4141, 814, 1044, 1445, 28410, 1200, 960, 593, 519, 26220, 729, 1186, 267, 540, 799, 972, 616, 513, 9670, 1297, 538, 519, 5177, 563, 296, 723, 1044, 7836, 519, 2063, 476, 273, 3275, 540, 1250, 27466, 525, 1222, 538, 519, 670, 2096, 523, 30601, 8257, 609, 3220, 717, 822, 514, 16340, 630, 25938, 1640, 4354, 1807, 540, 670, 2096, 523, 30601, 267, 11285, 538, 4858, 935, 13160, 543, 594, 577, 12149, 517, 13160, 1040, 3371, 594, 723, 1044, 2324, 593, 513, 12593, 1634, 607, 5981, 2678, 267, 513, 1895, 540, 729, 1186, 799, 8934, 527, 1047, 4718, 13219, 563, 4322, 729, 1186, 2887, 883, 519, 12379, 1961, 328, 7236, 14316, 799, 568, 851, 540, 513, 1804, 1016, 26967, 1634, 607, 595, 1084, 641, 601, 3901, 2088, 324, 269, 1703, 616, 1472, 476, 277, 267, 1822, 1634, 2249, 540, 26220, 729, 1186, 538, 519, 5177, 267, 513, 31417, 1297, 799, 568, 513, 5458, 6712, 540, 938, 5521, 4763, 269, 1717, 267, 2370, 568, 1634, 827, 1082, 540, 891, 2516, 543, 1906, 540, 891, 2249, 723, 1134, 11609, 8446, 10569, 2139, 267, 1818, 519, 1858, 540, 1353, 14320, 1447, 3015, 269, 901, 568, 1946, 594, 993, 4543, 717, 822, 514, 547, 4020, 606, 2653, 3562, 14025, 8446, 3391, 585, 713, 14605, 6956, 1895, 540, 729, 1186, 269, 0, 8649, 476, 1704, 269, 6021, 269, 1001, 279, 19804, 476, 4905, 281, 4343, 11634, 4471, 321, 26366, 996, 912, 285, 1548, 594, 1265, 9490, 827, 9919, 637, 568, 922, 20771, 1974, 1472, 519, 6129, 734, 476, 275, 267, 15886, 454, 285, 1296, 269, 634, 3349, 540, 20771, 5712, 2016, 972, 2982, 602, 782, 519, 10785, 630, 663, 454, 285, 32624, 264, 6923, 10739, 14887, 519, 20991, 2476, 789, 616, 689, 519, 6129, 734, 454, 8133, 267, 540, 1576, 282, 602, 781, 17149, 563, 285, 9919, 637, 1373, 2608, 2421, 2484, 265, 519, 3500, 652, 282, 855, 621, 781, 6129, 26591, 568, 2608, 743, 29141, 265, 982, 2901, 454, 285, 32624, 610, 18347, 269, 898, 1058, 581, 15914, 5488, 982, 18347, 267, 855, 3884, 1405, 563, 3674, 621, 711, 888, 763, 3349, 5532, 547, 23403, 476, 1556, 269, 279, 586, 3464, 585, 18347, 267, 607, 3379, 547, 476, 275, 269, 276, 4200, 454, 1721, 9919, 637, 269, 2334, 2306, 621, 5488, 630, 514, 2474, 540, 16070, 3432, 264, 982, 18347, 563, 263, 2005, 781, 849, 5488, 538, 2474, 540, 5998, 4882, 282, 1586, 267, 17149, 8094, 8070, 513, 16253, 547, 713, 5048, 0, 1432, 568, 4906, 2012, 538, 824, 4654, 888, 347, 295, 8114, 560, 8643, 1475, 2633, 486, 28637, 11111, 1315, 12168, 373, 18716, 25078, 405, 487, 630, 13682, 338, 5953, 10245, 3963, 568, 8786, 327, 7699, 1572, 4906, 888, 29012, 267, 8786, 327, 7699, 568, 519, 12355, 2012, 585, 4906, 269, 898, 1797, 968, 312, 1695, 933, 327, 1496, 1492, 7083, 316, 568, 6428, 14010, 1848, 634, 2296, 10259, 540, 8786, 327, 7699, 568, 968, 297, 9655, 7699, 1848, 1717, 267, 950, 12261, 689, 12355, 883, 5259, 267, 538, 799, 519, 1715, 11620, 729, 2854, 267, 519, 2012, 8786, 327, 7699, 3587, 594, 25207, 338, 748, 269, 2560, 1358, 1611, 968, 338, 822, 1640, 892, 543, 968, 1492, 20778, 540, 519, 7083, 3034, 1692, 798, 596, 2161, 4906, 538, 3979, 1893, 888, 7021, 13977, 16627, 540, 519, 6426, 538, 3979, 4654, 946, 519, 2262, 25109, 2426, 340, 547, 3277, 547, 519, 12429, 269, 1306, 1776, 1383, 267, 4906, 2441, 568, 5219, 547, 607, 544, 32272, 3649, 25109, 2426, 340, 12462, 18876, 540, 25109, 2426, 340, 14615, 538, 2413, 3909, 8964, 538, 932, 7865, 11445, 1893, 630, 22416, 25596, 1916, 1692, 1281, 8786, 327, 7699, 14377, 547, 4906, 888, 2005, 568, 1419, 12261, 607, 968, 3891, 17990, 2223, 547, 14883, 609, 15623, 476, 272, 281, 2641, 281, 968, 9515, 786, 7703, 513, 12312, 282, 543, 596, 4927, 1289, 3571, 2012, 4906, 267, 585, 1261, 786, 4688, 3571, 1004, 689, 741, 21359, 892, 630, 2793, 306, 289, 1916, 1432, 568, 4906, 2407, 2012, 888, 27716, 685, 1483, 2012, 267, 8786, 327, 7699, 267, 7960, 936, 27453, 538, 513, 2013, 540, 6037, 28375, 269, 22816, 12855, 12780, 763, 5259, 6037, 28375, 540, 4906, 685, 1483, 2012, 267, 968, 296, 25207, 338, 748, 5608, 543, 519, 3735, 19978, 12355, 4528, 968, 8133, 327, 7699, 6100, 17859, 540, 3909, 3661, 267, 519, 2012, 968, 27716, 892, 568, 5176, 24080, 25992, 563, 1432, 568, 4906, 1483, 2012, 888, 27716, 685, 2012, 538, 12355, 729, 968, 8133, 327, 7699, 892, 799, 18922, 547, 2296, 607, 26056, 563, 3674, 23968, 933, 327, 2696, 610, 4906, 888, 312, 1695, 933, 327, 568, 519, 9030, 2012, 538, 519, 6196, 11620, 676, 799, 2696, 8761, 5128, 543, 568, 519, 1034, 10723, 267, 10058, 543, 538, 10919, 27809, 2012, 540, 2696, 563, 12441, 4906, 723, 513, 2063, 2012, 888, 27716, 1281, 711, 723, 513, 2063, 2012, 269, 7831, 4408, 941, 711, 1455, 538, 1346, 2053, 269, 2441, 568, 711, 513, 2012, 267, 855, 513, 2140, 269, 2441, 1797, 968, 534, 31212, 892, 610, 968, 300, 612, 11672, 5608, 865, 4906, 2968, 519, 968, 13731, 892, 610, 968, 300, 612, 11672, 892, 950, 646, 3893, 19071, 1242, 693, 519, 2085, 540, 476, 1789, 563, 3674, 8786, 327, 7699, 513, 4906, 888, 18814, 547, 519, 3875, 16627, 267, 519, 6426, 814, 22734, 267, 968, 27716, 892, 568, 519, 2413, 2165, 585, 519, 12312, 540, 2696, 269, 3571, 3312, 12355, 2012, 568, 8786, 327, 7699, 267, 799, 568, 2110, 585, 9493, 327, 16230, 3333, 340, 685, 320, 269, 2560, 1879, 8786, 327, 7699, 568, 12261, 883, 5259, 267, 799, 519, 1715, 11620, 568, 6508, 689, 267, 621, 3587, 594, 25207, 338, 748, 267, 799, 538, 2296, 10259, 568, 968, 27716, 3034, 1432, 616, 782, 519, 4408, 540, 4906, 888, 268, 8298, 657, 630, 1492, 6478, 994, 268, 12312, 540, 2696, 563, 268, 12312, 540, 812, 563, 1432, 568, 4906, 674, 822, 712, 924, 2051, 712, 888, 27746, 568, 3592, 2141, 16064, 539, 856, 538, 4544, 267, 1247, 4906, 3335, 31273, 2699, 269, 10801, 1686, 267, 4544, 814, 1044, 2808, 513, 10723, 543, 3407, 27280, 563, 1432, 568, 2696, 779, 2012, 538, 12355, 888, 763, 8745, 962, 295, 20062, 269, 2696, 779, 2012, 538, 519, 12355, 6426, 568, 3006, 1714, 2129, 574, 267, 968, 18661, 1848, 1809, 538, 519, 5318, 5354, 540, 2665, 267, 2696, 814, 1776, 2012, 281, 962, 295, 20062, 563, 1432, 568, 4906, 779, 1297, 888, 1103, 4168, 6746, 1108, 267, 519, 1297, 476, 31229, 4564, 4906, 267, 610, 3006 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1152, 2693, 547, 581, 11821, 609, 667, 639, 5652, 670, 809, 2389, 760, 667, 269, 20078, 520, 3121, 454, 267, 513, 4686, 19366, 689, 2342, 267, 799, 568, 18632, 543, 814, 519, 1614, 1167, 531, 9634, 10199, 519, 1482, 2450, 630, 514, 23881, 13906, 7559, 454, 267, 519, 9018, 1167, 531, 5544, 568, 1454, 3677, 1287, 519, 824, 1079, 1040, 30038, 9366, 20555, 593, 13560, 344, 543, 18234, 21960, 577, 267, 936, 2914, 5793, 532, 607, 513, 7782, 320, 269, 0, 1607, 1032, 267, 4989, 476, 2420, 526, 7436, 476, 2004, 1296, 540, 3047, 4303, 269, 901, 476, 2004, 628, 16683, 786, 2049, 693, 513, 7432, 1448, 538, 1686, 543, 621, 786, 4099, 1472, 606, 2856, 602, 1082, 540, 721, 917, 568, 2556, 547, 8190, 938, 2104, 281, 2916, 2962, 563, 2026, 513, 7991, 543, 4139, 4886, 2101, 267, 594, 4076, 1185, 519, 4316, 547, 2951, 547, 4000, 7466, 267, 1101, 547, 19168, 543, 1287, 547, 15057, 269, 594, 1616, 547, 1491, 713, 942, 547, 2671, 930, 540, 1018, 594, 723, 4121, 543, 2911, 827, 875, 891, 15143, 723, 4957, 1250, 1259, 540, 3206, 1472, 2916, 2962, 563, 1103, 5130, 540, 713, 1032, 267, 594, 729, 1851, 513, 1895, 540, 11158, 300, 1053, 602, 24389, 593, 513, 476, 1015, 6377, 3028, 19543, 7552, 547, 15057, 269, 901, 7552, 4553, 513, 19496, 17489, 1576, 602, 3238, 23712, 609, 11158, 300, 779, 1279, 29280, 2146, 4891, 538, 6917, 15057, 547, 1865, 543, 1544, 513, 1297, 540, 4264, 1646, 3785, 269, 3776, 960, 3238, 2834, 2792, 998, 4757, 543, 24680, 267, 3573, 4058, 540, 938, 3785, 267, 2508, 24597, 267, 543, 865, 1454, 811, 256, 634, 7552, 729, 513, 5458, 1967, 267, 543, 621, 729, 606, 6909, 4316, 547, 2322, 6940, 883, 2259, 563, 1103, 1840, 547, 3275, 540, 1565, 827, 4264, 1646, 538, 15057, 267, 938, 1895, 849, 729, 2111, 547, 6108, 1079, 2395, 593, 1760, 926, 538, 15057, 779, 4190, 2817, 15944, 267, 519, 16549, 2967, 3057, 320, 269, 634, 2179, 540, 7320, 602, 649, 4718, 729, 5963, 7415, 269, 8616, 267, 713, 7552, 630, 322, 537, 9482, 609, 1250, 476, 1001, 278, 7552, 547, 19168, 1070, 530, 5803, 803, 909, 547, 930, 540, 519, 10792, 19178, 602, 519, 11782, 540, 4000, 267, 922, 1004, 267, 543, 1454, 540, 922, 7320, 3068, 607, 513, 1267, 540, 513, 1500, 17907, 2916, 6433, 602, 25409, 28746, 519, 3384, 1158, 563, 6097, 547, 519, 4013, 3047, 4303, 3896, 267, 4000, 786, 581, 519, 11782, 1034, 12936, 676, 2916, 1689, 269, 901, 1249, 568, 3226, 7282, 1317, 4000, 814, 8329, 519, 2547, 547, 938, 2916, 6433, 269, 769, 2698, 267, 519, 476, 7918, 2477, 602, 1118, 909, 519, 11782, 12520, 1152, 476, 274, 269, 279, 260, 540, 2518, 8511, 9362, 267, 1247, 519, 2136, 2276, 32307, 476, 866, 18336, 9961, 1250, 1565, 543, 12599, 547, 4000, 267, 594, 7683, 1336, 8885, 6998, 519, 1739, 2055, 281, 875, 666, 649, 2503, 2477, 3843, 547, 1020, 741, 11615, 547, 1491, 811, 3978, 6940, 3800, 950, 267, 538, 519, 2136, 2276, 267, 649, 616, 8572, 547, 1118, 8332, 2478, 547, 2569, 938, 1378, 13476, 5739, 6208, 286, 5015, 267, 1946, 1058, 594, 3494, 594, 993, 13886, 547, 7050, 4616, 540, 5739, 2326, 267, 971, 607, 5068, 267, 1175, 1317, 594, 4076, 1185, 519, 17979, 540, 2713, 538, 513, 2919, 4346, 538, 519, 2136, 2276, 543, 891, 1919, 616, 11593, 2139, 547, 803, 286, 1452, 4555, 723, 1044, 796, 3553, 339, 1782, 547, 803, 267, 543, 1631, 538, 519, 22984, 540, 513, 2518, 6433, 267, 789, 616, 711, 2469, 2476, 563, 28074, 814, 4957, 2094, 1250, 7552, 547, 15057, 538, 5130, 269, 1284, 616, 782, 556, 628, 9722, 519, 1158, 607, 649, 2899, 6785, 621, 267, 543, 649, 616, 8384, 938, 1378, 4346, 6560, 30140, 269, 898, 568, 1100, 5728, 602, 713, 6855, 814, 6603, 1169, 7944, 540, 519, 1158, 543, 621, 814, 3144, 922, 17167, 593, 519, 1072, 543, 519, 17612, 540, 6634, 269, 594, 5063, 1224, 606, 2376, 689, 2817, 22127, 827, 519, 2360, 540, 5046, 268, 866, 593, 15057, 779, 7925, 3854, 267, 715, 23879, 6798, 267, 1141, 13016, 17260, 616, 1455, 269, 8881, 3800, 971, 607, 31741, 543, 1514, 26865, 616, 513, 17195, 1152, 513, 1906, 666, 6488, 563, 2171, 616, 1419, 18056, 547, 2638, 938, 17979, 543, 547, 581, 18507, 585, 519, 1426, 593, 519, 3349, 543, 519, 12062, 936, 938, 9843, 282, 713, 14696, 568, 811, 22317, 1631, 982, 2479, 1354, 563, 12234, 267, 607, 649, 8661, 476, 2004, 1296, 540, 3047, 1554, 543, 3314, 519, 23473, 540, 938, 2916, 1966, 267, 594, 1616, 721, 547, 849, 5431, 875, 938, 4616, 3270, 267, 543, 519, 1919, 649, 1589, 649, 991, 267, 1796, 547, 1860, 1004, 543, 2950, 538, 30152, 4025, 563, 8923, 2015, 1565, 811, 827, 875, 596, 666, 2569, 707, 1378, 3327, 11640, 676, 2542, 930, 540, 938, 824, 4930, 713, 3018, 269, 1656, 267, 607, 2141, 267, 1491, 1416, 543, 3251, 2635, 563, 10955, 1243, 676, 21877, 5062, 24730, 0, 306, 2544, 2006, 328, 670, 752, 1731, 267, 849, 1634, 607, 4563, 3397, 622, 267, 568, 513, 10475, 17576, 7723, 609, 513, 3638, 1686, 543, 1713, 21042, 9713, 3601, 269, 901, 6149, 24283, 922, 2012, 689, 922, 5169, 538, 590, 2544, 2006, 807, 267, 513, 2749, 538, 1459, 6377, 12925, 269, 898, 568, 513, 1106, 540, 3397, 622, 267, 6353, 676, 922, 2620, 3109, 610, 6960, 2681, 609, 3043, 6512, 532, 610, 26145, 269, 590, 2544, 2006, 328, 670, 752, 1731, 12942, 568, 3810, 9833, 585, 922, 8825, 543, 27733, 7907, 269, 901, 6149, 849, 5156, 547, 1683, 2168, 543, 2790, 4222, 267, 10100, 267, 543, 6617, 547, 519, 649, 13145, 540, 713, 17576, 7723, 267, 9117, 607, 513, 13104, 1996, 2942, 19367, 563, 31367, 23531, 281, 898, 568, 5097, 7768, 540, 2890, 322, 31051, 710, 21247, 267, 4481, 513, 3099, 540, 669, 531, 1027, 3415, 1634, 607, 989, 622, 269, 898, 1419, 2934, 20367, 13164, 540, 3109, 543, 3043, 610, 6960, 543, 3043, 563, 26773, 1145, 281, 634, 2067, 670, 752, 1731, 6149, 814, 513, 21052, 540, 476, 277, 269, 276, 547, 476, 278, 593, 519, 15011, 338, 4336, 267, 1818, 621, 513, 5266, 14463, 6149, 602, 666, 16641, 4948, 5957, 543, 15237, 563, 299, 755, 516, 281, 898, 15225, 513, 3857, 516, 748, 547, 14589, 344, 561, 755, 516, 267, 4758, 621, 513, 5347, 543, 25509, 5920, 950, 5265, 2759, 543, 25509, 563, 22349, 25233, 11588, 540, 590, 2544, 2006, 328, 670, 752, 1731, 454, 2467, 616, 1082, 4230, 25233, 2640, 2404, 609, 9849, 590, 2544, 2006, 328, 670, 752, 1731, 12942, 676, 9038, 543, 8951, 538, 6935, 547, 519, 17568, 540, 681, 24660, 543, 31509, 340, 607, 829, 642, 14037, 31826, 912, 305, 24660, 630, 22139, 19219, 2567, 769, 642, 14037, 31826, 681, 24660, 568, 1419, 2404, 609, 2192, 16272, 267, 1570, 13821, 267, 543, 1158, 569, 27589, 269, 654, 8960, 590, 2544, 2006, 328, 670, 752, 1731, 6149, 607, 20805, 656, 267, 25231, 2280, 610, 8258, 666, 948, 4831, 25270, 519, 2942, 2360, 540, 681, 24660, 676, 5009, 9355, 540, 2219, 267, 27733, 267, 543, 4027, 1996, 26760, 269, 898, 11226, 538, 1033, 2286, 689, 1570, 2065, 18697, 543, 6770, 1445, 547, 5289, 2208, 543, 2362, 9637, 563, 298, 564, 340, 630, 21026, 19219, 2567, 31509, 340, 4564, 17035, 267, 20932, 267, 543, 1033, 16670, 607, 829, 31826, 269, 898, 568, 2404, 609, 19802, 543, 519, 27072, 540, 24178, 269, 590, 2544, 2006, 328, 670, 752, 1731, 3397, 622, 666, 3986, 519, 2318, 3310, 540, 31509, 340, 676, 3246, 27733, 543, 6617, 1282, 5289, 2853, 269, 898, 2337, 538, 29947, 9066, 267, 14304, 20932, 267, 543, 8220, 609, 2362, 26441, 540, 9637, 563, 25911, 3496, 681, 24660, 543, 31509, 340, 281, 590, 2544, 2006, 328, 670, 752, 1731, 6411, 607, 513, 11745, 1944, 3196, 1063, 681, 24660, 543, 31509, 340, 267, 4543, 547, 3666, 741, 19367, 269, 898, 8992, 513, 2635, 5610, 540, 1570, 543, 5289, 3344, 540, 1272, 267, 7175, 2043, 547, 6330, 741, 737, 1301, 545, 2619, 609, 9355, 267, 7326, 267, 543, 6617, 998, 856, 1010, 1272, 563, 3682, 339, 1254, 689, 20134, 14118, 1878, 281, 634, 681, 24660, 543, 31509, 340, 616, 4922, 1634, 547, 24244, 2942, 19367, 543, 7506, 269, 654, 8960, 713, 4563, 3397, 622, 666, 1683, 513, 8825, 13104, 1996, 891, 4731, 1030, 545, 19367, 267, 17420, 519, 649, 13145, 689, 2618, 545, 6285, 267, 2942, 9988, 267, 543, 5739, 21513, 269, 898, 2337, 538, 4509, 513, 7059, 543, 18900, 1648, 2361, 1472, 519, 1268, 454, 298, 1301, 545, 23046, 281, 654, 8960, 590, 2544, 2006, 328, 670, 752, 1731, 12942, 666, 4217, 538, 519, 1184, 540, 737, 1301, 545, 7067, 676, 5009, 1582, 18221, 267, 16089, 2942, 3270, 267, 543, 14123, 5289, 2208, 269, 1306, 681, 24660, 543, 31509, 340, 616, 2404, 609, 737, 1301, 545, 3270, 543, 4245, 269, 898, 11226, 538, 1620, 543, 10489, 2056, 737, 1301, 545, 2591, 267, 3850, 2043, 547, 1847, 4464, 593, 741, 9997, 781, 12105, 3460, 563, 306, 2869, 3770, 16140, 532, 281, 901, 6149, 814, 2178, 27733, 3601, 602, 948, 2043, 3251, 4448, 547, 519, 3047, 781, 1648, 1247, 2502, 538, 5289, 2853, 269, 898, 20674, 538, 27733, 7050, 5289, 19367, 267, 5009, 513, 2631, 540, 6617, 267, 3666, 267, 543, 16566, 538, 835, 781, 5289, 3460, 563, 8469, 2787, 543, 24238, 281, 901, 3109, 989, 622, 568, 3810, 9833, 585, 922, 2702, 547, 15052, 9066, 543, 11009, 2853, 269, 898, 2337, 9602, 519, 2247, 267, 3986, 1445, 267, 543, 7520, 513, 4514, 1533, 540, 11005, 543, 6418, 4708, 269, 670, 752, 1731, 6149, 1282, 9066, 666, 3895, 5289, 2208, 267, 1582, 18221, 267, 543, 513, 15398, 2631, 540, 5289, 4276, 563, 2419, 31518, 1325, 9892, 543, 2920, 10474, 281, 898, 568, 5156, 547, 19334, 543, 3666, 519, 669, 752, 6652, 267, 519, 1648, 7740, 1369, 519, 1560, 269, 898, 22262, 519, 2095, 540, 1648, 998, 519, 669, 31518, 1062, 267, 5009, 2949, 17615, 12972, 543, 21755, 269, 15706, 666, 1995, 513, 18900, 2095, 540, 1648, 267, 3056, 547, 513, 15398, 5289, 1995, 1310, 9849, 713, 6149, 563, 306, 2869, 3770, 10466, 281, 898, 568, 2808, 513, 3532, 8825, 6149, 538, 519, 5289, 7706, 269, 898, 6411, 607, 513, 13104, 1996, 2942, 19367, 267, 2618, 545, 6285, 267, 543, 5289, 18063, 269, 898, 5932, 513, 8825, 11064, 1472, 519, 513, 3120, 267, 17420, 519, 1367, 689, 13311, 7506, 543, 5009, 513, 2922, 543, 10069, 13443, 2312, 2230, 585, 5289, 3408, 563, 4504, 340, 819, 543, 20154, 6184, 697, 281, 901, 590, 2544, 2006, 328, 670, 752, 1731, 12627, 568, 2404, 609, 7393, 20932, 543, 5289, 5813, 269, 898, 2337, 2043, 3972, 741, 6418, 5583, 267, 1020, 513, 4514, 1620, 540, 741, 5289, 2619, 267, 543, 1569, 2362, 26441, 540, 7326, 543, 1702, 269, 901, 989, 622, 666, 24244, 16022, 5759, 543, 7520, 5289, 2208, 563, 9558, 4146, 543, 20154, 12618, 281, 898, 568, 5156, 547, 1489, 2123, 7004, 543, 5289, 2208, 269, 898, 11226, 538, 16089, 2025, 3270, 267, 27589, 267, 543, 12145, 4978, 602, 1100, 3476, 4196, 835, 781, 5289, 4720, 269, 898, 7512, 6418, 4222, 267, 1582, 26190, 267, 543, 519, 10100, 547, 7832, 593, 513, 13710, 3460, 563, 3519, 3825, 547, 23942, 2037, 25489, 281, 901, 670, 752, 1731, 4217, 538, 8220, 609, 10143, 19367, 543, 5289, 10274, 1547, 898, 16881, 2792, 609, 2362, 26441, 543, 7028, 2043, 538, 8391, 6835, 267, 4030, 267, 543, 5583, 689, 519, 5289, 7706, 269, 898, 666, 3986, 519, 4276, 609, 835, 781, 2362, 1582, 543, 5289, 16167, 563, 16498, 10466, 543, 23046, 281, 901, 989, 622, 568, 1634, 585, 922, 8825, 543, 7067, 3601, 269, 898, 2337, 7794, 519, 2168, 1560, 781, 1648, 2361, 267, 5009, 2949, 1134, 5630, 543, 21755, 269, 898, 568, 5156, 547, 13468, 2168, 22074, 267, 2087, 26176, 2088, 267, 543, 1489, 519, 1560, 781, 2067, 7067, 3157, 563, 10387, 10899, 23046, 543, 853, 1464, 281, 901, 6149, 568, 2404, 609, 3929, 7067, 543, 6617, 269, 898, 2337, 9350, 519, 2247, 267, 2569, 2566, 267, 543, 3895, 3929, 3666, 269, 901, 6149, 2337, 538, 20408, 2942, 4664, 267, 3850, 585, 513, 3152, 2631, 540, 6418, 4708, 543, 22471, 1006, 563, 18719, 1407, 966, 20890, 281, 898, 568, 5156, 547, 2087, 1973, 10009, 543, 2333, 21755, 269, 898, 666, 4217, 538, 7393, 1648, 2157, 267, 17212 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1611, 602, 2901, 1747, 568, 1732, 982, 519, 824, 282, 621, 3274, 2982, 721, 602, 1114, 6753, 2709, 1585, 2418, 4470, 593, 1018, 649, 2972, 3257, 1034, 780, 3383, 3314, 267, 2436, 596, 6430, 547, 8389, 997, 998, 519, 6329, 540, 594, 657, 610, 3406, 585, 11580, 1369, 519, 6821, 540, 700, 329, 28362, 329, 3570, 267, 1169, 1747, 814, 922, 1378, 9059, 7996, 547, 581, 4362, 269, 3807, 1832, 707, 4064, 1930, 267, 2307, 2055, 267, 543, 2141, 1246, 707, 2295, 2509, 20605, 2833, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 7617, 1747, 568, 14949, 267, 700, 329, 28362, 329, 3570, 610, 594, 657, 888, 4322, 616, 519, 2949, 3328, 2951, 3790, 585, 519, 1079, 18353, 563, 19675, 594, 3643, 594, 657, 610, 700, 329, 28362, 329, 3570, 286, 901, 568, 513, 1455, 2243, 4280, 676, 1082, 17631, 269, 1635, 23115, 856, 799, 2749, 814, 2238, 602, 5447, 609, 707, 4690, 2059, 609, 6616, 799, 568, 811, 10097, 267, 596, 3513, 1174, 1141, 596, 666, 1205, 811, 29907, 585, 707, 11369, 269, 1924, 267, 1577, 781, 4685, 883, 519, 3877, 543, 519, 1239, 267, 799, 782, 2501, 689, 4890, 17631, 563, 296, 657, 568, 513, 30618, 518, 7888, 267, 3140, 267, 543, 5428, 15129, 6532, 269, 901, 568, 849, 513, 1360, 4190, 10278, 799, 24643, 7899, 540, 8436, 269, 4033, 4128, 547, 3643, 1331, 10918, 267, 15882, 267, 543, 3781, 5158, 563, 299, 329, 28362, 329, 3570, 568, 513, 8076, 267, 8978, 267, 543, 23406, 3854, 2749, 269, 898, 781, 513, 1804, 2749, 267, 865, 596, 3513, 1265, 7899, 540, 1919, 547, 798, 1472, 4884, 269, 898, 781, 513, 4190, 1747, 547, 3643, 267, 1932, 269, 1656, 596, 666, 1405, 7340, 827, 519, 3781, 5158, 267, 1426, 267, 543, 10918, 563, 9199, 767, 619, 786, 2356, 1265, 811, 547, 798, 538, 594, 657, 269, 4014, 594, 657, 543, 700, 329, 28362, 329, 3570, 616, 2442, 10278, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 30728, 1315, 2342, 1315, 4937, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 5994, 596, 2811, 851, 540, 513, 9649, 2319, 1500, 909, 540, 1004, 689, 1114, 8371, 910, 519, 5794, 10414, 267, 13108, 267, 8136, 267, 3057, 1149, 267, 543, 1256, 519, 15536, 21847, 256, 2659, 2816, 607, 513, 2319, 568, 547, 960, 1927, 16900, 1100, 2339, 1141, 596, 616, 1107, 538, 519, 6607, 267, 693, 4262, 267, 593, 2244, 267, 610, 1256, 538, 6880, 2230, 269, 2334, 1259, 267, 596, 666, 5531, 1344, 3533, 543, 1118, 5100, 3664, 5488, 982, 707, 17837, 269, 901, 2337, 596, 3251, 835, 1900, 6619, 543, 1832, 3025, 2922, 780, 4131, 781, 1289, 713, 2856, 834, 22998, 8625, 21661, 18421, 2437, 610, 654, 14011, 292, 585, 2110, 269, 654, 14011, 292, 568, 899, 2870, 513, 5458, 1920, 22653, 542, 1141, 3025, 6770, 741, 1378, 2027, 1983, 543, 2645, 547, 2671, 269, 1411, 1522, 723, 2576, 945, 781, 1390, 693, 31986, 1919, 689, 1164, 909, 538, 519, 2011, 267, 1247, 1776, 1268, 8952, 4585, 1524, 2630, 593, 519, 2666, 269, 25126, 3116, 1223, 6895, 1018, 781, 8345, 2228, 538, 6880, 2230, 269, 1635, 9256, 782, 891, 5759, 543, 2200, 267, 596, 1831, 6793, 607, 513, 1895, 543, 666, 4431, 811, 3927, 547, 1022, 2591, 602, 2097, 707, 1259, 780, 3719, 1934, 781, 519, 16602, 851, 281, 2094, 972, 616, 865, 1082, 1114, 6887, 2324, 538, 1585, 4025, 267, 621, 781, 1898, 547, 1628, 1945, 602, 13071, 873, 782, 5968, 3362, 609, 835, 1776, 269, 1284, 991, 513, 2706, 3579, 1062, 602, 6411, 899, 513, 8115, 8220, 1169, 2582, 4759, 267, 1818, 2386, 789, 666, 5385, 9623, 24847, 543, 18172, 269, 8528, 13914, 827, 621, 899, 4058, 606, 15813, 9983, 5428, 585, 707, 1655, 3659, 269, 3962, 16823, 814, 2189, 15421, 1765, 821, 949, 27106, 513, 8949, 14735, 267, 1776, 5932, 5863, 23598, 267, 2943, 1776, 6487, 875, 547, 1305, 519, 3501, 7099, 609, 2575, 269, 1809, 952, 18864, 8843, 741, 4566, 610, 10974, 950, 547, 12446, 267, 519, 5428, 4465, 1405, 979, 12347, 269, 1924, 596, 946, 513, 6049, 3529, 267, 15737, 267, 610, 6148, 513, 1895, 10004, 813, 547, 3142, 3388, 1927, 269, 898, 5849, 602, 3025, 13978, 5483, 267, 6487, 4010, 1018, 547, 798, 267, 543, 8309, 547, 1818, 519, 11812, 20605, 780, 1103, 938, 654, 14011, 292, 1383, 267, 649, 1616, 547, 1020, 1945, 2147, 855, 1454, 1178, 837, 1572, 513, 834, 20123, 328, 26730, 664, 3060, 1701, 901, 16681, 2165, 1175, 1797, 16046, 909, 782, 519, 5094, 2694, 630, 1515, 267, 4262, 267, 2244, 267, 543, 6880, 2230, 264, 1210, 513, 1455, 1893, 610, 3009, 269, 3973, 267, 649, 1039, 930, 3063, 9059, 12544, 834, 684, 1881, 11265, 1935, 257, 1765, 1729, 1118, 2386, 713, 17254, 4842, 3060, 8255, 12347, 543, 7561, 269, 2060, 971, 3532, 4296, 1851, 782, 6887, 267, 789, 3513, 581, 2111, 547, 2981, 6151, 1239, 883, 3407, 4030, 267, 4543, 873, 957, 3533, 543, 20617, 780, 3086, 4952, 1373, 851, 540, 519, 13085, 8186, 8888, 543, 2679, 713, 6909, 1062, 585, 519, 2104, 256, 1306, 2462, 6066, 1966, 1151, 951, 267, 596, 1205, 547, 12840, 609, 4966, 1634, 607, 834, 26171, 8397, 1949, 5043, 2209, 1701, 1358, 2811, 2186, 540, 899, 4487, 5428, 24990, 267, 2921, 5279, 543, 4180, 602, 1169, 4062, 13352, 9985, 1369, 713, 7372, 654, 14011, 292, 11015, 269, 8625, 267, 596, 3513, 4020, 513, 3014, 19145, 1907, 602, 16877, 938, 4182, 781, 9718, 619, 547, 2149, 721, 782, 1247, 11744, 11108, 16542, 543, 5647, 269, 1215, 3579, 568, 602, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 297, 2002, 2353, 23792, 15051, 630, 297, 4696, 302, 264, 568, 519, 4108, 779, 1935, 547, 2327, 602, 782, 4229, 666, 7500, 1927, 16900, 2066, 2011, 267, 2230, 267, 4262, 267, 2244, 543, 2166, 1499, 10628, 547, 3035, 1344, 543, 3375, 5413, 936, 8375, 10779, 2456, 563, 4415, 2789, 7207, 17364, 2066, 519, 808, 4696, 302, 11640, 267, 519, 1883, 547, 1967, 568, 6616, 875, 547, 1711, 543, 2936, 606, 6189, 547, 2327, 14479, 2066, 4540, 267, 19635, 13485, 543, 5989, 269, 901, 3060, 786, 6338, 519, 1318, 1377, 540, 3375, 1489, 12588, 547, 948, 12427, 2490, 1344, 883, 2962, 269, 1677, 1118, 713, 4755, 267, 519, 2229, 786, 991, 1804, 8397, 1949, 5043, 2209, 547, 1404, 513, 1883, 1909, 538, 3384, 543, 4509, 891, 3435, 602, 5512, 519, 808, 4696, 302, 5692, 563, 297, 4696, 302, 543, 922, 17434, 2353, 5937, 558, 664, 16710, 543, 6513, 630, 297, 4696, 290, 273, 264, 1523, 14439, 2565, 2115, 585, 513, 3818, 26730, 664, 3060, 602, 18252, 513, 19618, 11265, 1935, 269, 901, 1797, 602, 519, 16470, 2146, 1590, 1847, 689, 8156, 1142, 3760, 267, 9300, 606, 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, 4495, 2390, 513, 942, 267, 538, 513, 14297, 2749, 1572, 22208, 267, 5030, 1079, 1655, 2828, 3957, 15207, 543, 22123, 269, 1358, 6068, 7836, 741, 4832, 2395, 3695, 519, 4190, 12647, 543, 25825, 1472, 519, 2749, 269, 2290, 13566, 6640, 267, 789, 4956, 547, 979, 593, 513, 31614, 1136, 7045, 2439, 257, 20756, 22123, 2437, 1767, 15207, 31113, 267, 834, 3602, 666, 649, 10519, 513, 31614, 752, 2221, 24350, 306, 958, 14452, 267, 834, 4131, 781, 2307, 6004, 269, 17305, 614, 267, 646, 6487, 782, 827, 938, 2199, 7297, 10590, 1924, 1055, 789, 4682, 267, 10478, 585, 741, 8797, 17333, 614, 3659, 780, 5445, 1336, 6004, 269, 17305, 614, 2282, 519, 10720, 267, 1666, 6362, 538, 519, 7943, 269, 2060, 513, 1000, 30257, 538, 1010, 4064, 267, 646, 3838, 1010, 1702, 827, 1114, 4025, 1141, 789, 1223, 10519, 31614, 6545, 269, 1261, 5143, 873, 827, 3397, 7699, 7638, 1372, 623, 18150, 11833, 267, 19566, 30482, 4741, 267, 631, 1601, 7345, 267, 11555, 296, 267, 543, 1256, 5018, 513, 1747, 1572, 28270, 752, 9142, 799, 729, 513, 3787, 20991, 2476, 538, 9129, 320, 638, 1695, 780, 20755, 3240, 543, 22123, 941, 4278, 2683, 256, 1358, 13603, 519, 19566, 30482, 4741, 1317, 621, 6035, 1585, 2010, 540, 31614, 6545, 269, 1306, 789, 3459, 533, 5417, 1782, 2066, 519, 10720, 267, 1945, 6397, 5949, 1107, 2178, 12798, 3323, 25738, 1996, 873, 256, 901, 1500, 741, 3460, 811, 2352, 982, 789, 1185, 17191, 780, 18183, 4310, 543, 5594, 14126, 267, 789, 4280, 6004, 269, 17305, 614, 585, 5796, 269, 1261, 6045, 875, 2842, 4187, 1568, 281, 834, 2691, 596, 3068, 4187, 899, 891, 31830, 344, 12798, 267, 3314, 602, 1620, 922, 3196, 786, 948, 596, 6330, 1732, 1701, 8625, 267, 789, 4121, 519, 2956, 540, 9301, 2067, 4229, 1247, 11981, 9205, 2238, 780, 15987, 711, 4010, 1018, 789, 4397, 267, 15207, 543, 22123, 7691, 602, 25884, 2591, 3773, 10761, 547, 741, 7045, 269, 3245, 1287, 593, 267, 8164, 789, 5185, 1022, 9465, 1282, 741, 29293, 267, 789, 1131, 1589, 1394, 547, 741, 31614, 1136, 1995, 543, 4019, 519, 3621, 1523, 789, 4121, 689, 6004, 269, 17305, 614, 269, 1656, 865, 267, 1169, 856, 532, 2968, 711, 1152, 1187, 855, 849, 3872, 267, 6028, 3297, 3407, 4245, 827, 2470, 267, 11505, 267, 543, 6043, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 8489, 666, 594, 10519, 513, 31614, 752, 538, 22208, 585, 513, 1554, 540, 3695, 888, 2467, 616, 1896, 4025, 547, 10519, 513, 31614, 752, 538, 22208, 585, 513, 1554, 540, 3695, 269, 2368, 3681, 1331, 1384, 272, 269, 3397, 7699, 7638, 1372, 623, 18150, 11833, 910, 4092, 538, 519, 2160, 10588, 267, 713, 23934, 2754, 3091, 31614, 6545, 267, 1796, 5346, 31784, 15236, 267, 543, 666, 3996, 585, 10519, 676, 519, 5662, 610, 1554, 780, 273, 269, 19566, 30482, 4741, 910, 4092, 538, 8235, 5742, 267, 713, 23934, 2754, 3091, 513, 3099, 540, 31614, 6545, 267, 1519, 2582, 543, 5595, 31614, 6545, 267, 607, 1134, 607, 1796, 5346, 31784, 15236, 780, 274, 269, 631, 1601, 7345, 910, 4092, 538, 8235, 6115, 267, 713, 23934, 2754, 3091, 1312, 31614, 6545, 543, 1796, 5346, 31784, 15236, 267, 607, 1134, 607, 22892, 543, 1379, 29539, 10519, 1023, 780, 275, 269, 11555, 296, 910, 1896, 11555, 296, 8637, 538, 22208, 2709, 31614, 752, 10519, 1023, 585, 2818, 543, 1875, 2173, 20047, 269, 6744, 741, 3896, 585, 8244, 543, 14499, 780, 276, 269, 28270, 752, 9142, 910, 4092, 538, 9129, 320, 638, 1695, 267, 827, 476, 736, 5195, 3544, 540, 22208, 267, 713, 23934, 2754, 3091, 31614, 6545, 543, 1796, 5346, 31784, 15236, 585, 10519, 543, 849, 3091, 5049, 543, 19150, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 6092, 5149, 281, 772, 332, 19207, 910, 634, 10815, 518, 15815, 15317, 720, 538, 5771, 281, 3778, 267, 19043, 267, 543, 12634, 13756, 692, 296, 269, 4985, 692, 763, 670, 1690, 329, 31145, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2164, 540, 10304, 2924, 5796, 538, 1292, 1416, 10838, 2043, 9907, 936, 476, 2568, 269, 10572, 11042, 948, 547, 917, 5615, 543, 1114, 3989, 4632, 1732, 267, 2705, 789, 991, 1454, 811, 942, 540, 7041, 982, 1895, 5717, 610, 824, 1239, 25819, 2994, 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 ]
[ 454, 258, 1363, 8640, 26571, 2652, 834, 3847, 13426, 258, 17264, 1535, 20699, 476, 272, 454, 258, 1363, 8640, 26571, 2652, 834, 2431, 13426, 258, 17264, 1535, 6834, 476, 272, 454, 258, 1363, 26571, 815, 3403, 2891, 821, 811, 4971, 5602, 258, 672, 2132, 1535, 267, 586, 692, 258, 1535, 815, 703, 9272, 2891, 921, 848, 14574, 1018, 568, 1535, 27363, 258, 586, 815, 703, 9272, 2891, 921, 848, 14574, 1018, 568, 586, 27363, 258, 12981, 815, 3403, 2891, 921, 848, 2285, 4971, 19515, 258, 1820, 263, 13681, 582, 3287, 11971, 267, 5570, 1343, 11723, 258, 1948, 17130, 476, 275, 692, 258, 1948, 3503, 513, 9226, 1599, 267, 799, 7024, 519, 2040, 540, 9704, 540, 2016, 1297, 715, 780, 258, 1219, 2040, 5091, 580, 3799, 2187, 258, 672, 1267, 815, 476, 271, 454, 258, 672, 585, 1775, 538, 1193, 3799, 2187, 258, 1363, 1267, 6834, 703, 9217, 994, 258, 672, 2132, 1267, 692, 258, 1820, 4433, 636, 5091, 580, 263, 275, 2537, 27174, 278, 11723, 692, 258, 17130, 476, 276, 454, 258, 3503, 513, 9226, 1982, 547, 1265, 519, 1985, 10545, 5493, 30308, 540, 513, 9138, 1297, 269, 1280, 1383, 267, 585, 476, 15686, 1985, 5493, 30308, 568, 476, 13199, 269, 8528, 3698, 1985, 7272, 16433, 3799, 2187, 825, 952, 4305, 272, 318, 274, 318, 272, 4877, 531, 30308, 3799, 2187, 1038, 562, 23785, 272, 454, 825, 1247, 711, 4305, 272, 318, 274, 318, 272, 4877, 531, 30308, 3799, 2187, 1038, 562, 6834, 476, 272, 454, 1038, 952, 4305, 272, 318, 274, 318, 272, 4877, 531, 30308, 3799, 2187, 2018, 2736, 454, 1038, 3116, 912, 2018, 562, 23785, 272, 3097, 825, 2132, 562, 692, 2745, 263, 10113, 7272, 16433, 31156, 19638, 19638, 19638, 19638, 0, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 454, 258, 17130, 272, 454, 258, 3503, 513, 17455, 553, 1982, 547, 1039, 267, 10208, 267, 2789, 543, 7941, 1079, 17455, 553, 10022, 454, 3698, 1583, 318, 4118, 3287, 11971, 2187, 825, 1039, 815, 1535, 1341, 586, 454, 825, 1016, 815, 1535, 910, 586, 454, 825, 1617, 815, 1535, 2608, 586, 454, 825, 2820, 815, 1535, 30819, 454, 825, 2132, 1039, 267, 11357, 267, 20123, 267, 15965, 692, 2908, 5334, 815, 19073, 2529, 7685, 8443, 274, 267, 275, 267, 276, 267, 277, 267, 278, 7481, 2908, 5334, 273, 815, 19073, 2529, 7685, 8443, 276, 267, 278, 267, 274, 267, 278, 267, 276, 7481, 2745, 4433, 518, 318, 4118, 28956, 5334, 267, 2908, 5334, 273, 11723, 258, 17130, 476, 273, 454, 258, 3503, 513, 17455, 553, 1982, 547, 6460, 513, 8675, 547, 513, 17455, 553, 3126, 563, 3698, 5774, 5091, 545, 3287, 2187, 825, 2132, 19073, 2529, 7685, 3287, 994, 2745, 9638, 663, 5091, 545, 20719, 257, 320, 9899, 3393, 2437, 321, 9899, 4097, 2437, 326, 9899, 6321, 278, 348, 11723, 258, 17130, 476, 274, 454, 258, 3503, 513, 17455, 553, 1982, 547, 6460, 513, 17877, 5044, 547, 513, 17455, 553, 3126, 692, 3698, 5774, 318, 1551, 3287, 2187, 825, 2132, 19073, 2529, 7685, 3287, 994, 1551, 815, 5286, 20179, 20179, 263, 276, 994, 2745, 9638, 663, 318, 1551, 19906, 11723, 258, 17130, 476, 275, 454, 258, 3503, 513, 17455, 553, 1982, 547, 6460, 519, 1101, 6241, 540, 513, 4578, 20988, 607, 513, 10022, 692, 3698, 1101, 22674, 3287, 2187, 825, 2132, 19073, 2529, 7685, 3287, 269, 559, 665, 18020, 271, 20285, 11907, 815, 2715, 257, 8063, 9899, 14277, 2129, 1470, 14824, 928, 341, 3385, 14824, 5632, 4727, 257, 16689, 1038, 834, 20204, 9899, 314, 1220, 271, 267, 1708, 272, 267, 1220, 274, 316, 10926, 2745, 6600, 1009, 22674, 9638, 323, 6185, 1092, 20988, 16597, 4297, 9239, 258, 17130, 476, 276, 454, 258, 3503, 513, 17455, 553, 1982, 547, 4990, 513, 2016, 10022, 454, 3698, 4990, 5334, 518, 3287, 2187, 825, 2132, 1535, 31699, 16229, 19572, 1535, 31699, 28767, 10797, 338, 518, 815, 19073, 2529, 7685, 8443, 274, 267, 31172, 267, 273, 267, 277, 267, 274, 3910, 4994, 815, 22373, 323, 14824, 338, 14824, 325, 14824, 329, 14824, 331, 257, 7481, 2745, 4433, 677, 5334, 518, 4433, 518, 11723, 258, 17130, 476, 277, 454, 258, 3503, 513, 17455, 553, 1982, 547, 2824, 519, 9343, 519, 6060, 568, 1063, 476, 1428, 543, 476, 736, 630, 514, 5477, 1040, 3097, 258, 12726, 5124, 8675, 1239, 543, 1592, 10297, 912, 1410, 600, 12774, 815, 27835, 4067, 9166, 18358, 2304, 770, 14901, 3299, 1412, 291, 9874, 3299, 1412, 298, 15811, 3299, 1412, 22832, 3299, 1412, 10387, 1176, 3299, 1412, 28061, 3299, 1412, 31861, 3299, 1412, 299, 19313, 3299, 1412, 298, 5271, 514, 3299, 1412, 297, 517, 553, 11172, 2676, 781, 14537, 9166, 1496, 1321, 269, 276, 267, 476, 280, 267, 476, 1626, 269, 276, 267, 5286, 8542, 534, 267, 476, 280, 267, 476, 736, 267, 476, 1691, 269, 276, 267, 5286, 8542, 534, 267, 476, 279, 267, 476, 866, 16689, 262, 3430, 3319, 338, 9166, 1496, 272, 267, 476, 274, 267, 476, 273, 267, 476, 274, 267, 476, 273, 267, 476, 274, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 272, 16689, 262, 23974, 1518, 9166, 18358, 13433, 3299, 1412, 7224, 3299, 1412, 13433, 3299, 1412, 7224, 3299, 1412, 7224, 3299, 1412, 13433, 3299, 1412, 13433, 3299, 1412, 7224, 3299, 1412, 7224, 3299, 1412, 13433, 11172, 8679, 18350, 1564, 815, 18358, 320, 3299, 1412, 321, 3299, 1412, 322, 3299, 1412, 323, 3299, 1412, 324, 3299, 1412, 325, 3299, 1412, 326, 3299, 1412, 327, 3299, 1412, 328, 3299, 1412, 329, 262, 6540, 4206, 815, 19073, 6185, 1092, 20988, 263, 1410, 600, 12774, 2073, 4994, 284, 18350, 1564, 2020, 2745, 29254, 314, 4206, 9131, 16557, 262, 4940, 24992, 263, 1428, 267, 476, 736, 13580, 2020, 258, 17130, 476, 278, 454, 258, 3503, 513, 17455, 553, 1982, 547, 5173, 519, 2040, 540, 519, 6514, 8942, 676, 519, 1053, 563, 258, 12726, 5124, 8675, 1239, 543, 1592, 10297, 912, 1410, 600, 12774, 815, 27835, 4067, 9166, 18358, 2304, 770, 14901, 3299, 1412, 291, 9874, 3299, 1412, 298, 15811, 3299, 1412, 22832, 3299, 1412, 10387, 1176, 3299, 1412, 28061, 3299, 1412, 31861, 3299, 1412, 299, 19313, 3299, 1412, 298, 5271, 514, 3299, 1412, 297, 517, 553, 11172, 2676, 781, 14537, 9166, 1496, 1321, 269, 276, 267, 476, 280, 267, 476, 1626, 269, 276, 267, 5286, 8542, 534, 267, 476, 280, 267, 476, 736, 267, 476, 1691, 269, 276, 267, 5286, 8542, 534, 267, 476, 279, 267, 476, 866, 16689, 262, 3430, 3319, 338, 9166, 1496, 272, 267, 476, 274, 267, 476, 273, 267, 476, 274, 267, 476, 273, 267, 476, 274, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 272, 16689, 262, 23974, 1518, 9166, 18358, 13433, 3299, 1412, 7224, 3299, 1412, 13433, 3299, 1412, 7224, 3299, 1412, 7224, 3299, 1412, 13433, 3299, 1412, 13433, 3299, 1412, 7224, 3299, 1412, 7224, 3299, 1412, 13433, 11172, 8679, 18350, 1564, 815, 18358, 320, 3299, 1412, 321, 3299, 1412, 322, 3299, 1412, 323, 3299, 1412, 324, 3299, 1412, 325, 3299, 1412, 326, 3299, 1412, 327, 3299, 1412, 328, 3299, 1412, 329, 262, 6540, 454, 4206, 815, 19073, 6185, 1092, 20988, 263, 1410, 600, 12774, 267, 8161, 284, 10297, 994, 2745, 29254, 14277, 3430, 3319, 338, 257, 4940, 8999, 28829, 0, 258, 17130, 476, 272, 454, 258, 3503, 513, 5124, 1599, 799, 7024, 27353, 1871, 540, 2016, 1297, 562, 780, 3698, 1249, 3799, 2187, 825, 952, 562, 2652, 476, 272, 912, 1038, 2132, 476, 272, 454, 825, 2132, 1249, 3799, 268, 272, 264, 2608, 562, 454, 2745, 263, 2399, 263, 276, 264, 9239, 258, 17130, 476, 273, 454, 258, 3503, 513, 5124, 1599, 799, 7024, 519, 562, 6253, 3693, 540, 519, 4017, 20906, 3126, 269, 3097, 3698, 4017, 334, 3799, 2187, 825, 952, 562, 2652, 476, 272, 912, 1038, 2132, 476, 271, 454, 825, 8640, 562, 2652, 476, 273, 912, 1038, 2132, 476, 272, 454, 825, 2132, 4017, 334, 3799, 268, 272, 264, 1341, 4017, 334, 3799, 268, 273, 994, 1363, 692, 2745, 6600, 756, 334, 263, 278, 4297, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 5814, 30220, 267, 15259, 267, 556, 267, 1224, 1467, 692, 5035, 28414, 912, 825, 5727, 26329, 513, 7260, 32197, 585, 918, 617, 328, 27969, 692, 825, 1948, 1007, 3758, 10959, 630, 1721, 2953, 7260, 32197, 606, 562, 325, 334, 32197, 994, 825, 1007, 6958, 32327, 4671, 6374, 622, 815, 834, 346, 271, 12917, 346, 272, 348, 1040, 346, 273, 348, 5016, 825, 1948, 715, 23859, 3758, 1543, 10959, 454, 825, 562, 325, 334, 4671, 6374, 622, 815, 8173, 825, 2999, 286, 343, 6447, 4528, 6889, 272, 269, 271, 257, 17683, 6889, 583, 325, 268, 279, 22172, 11417, 825, 2999, 332, 990, 773, 11417, 8587, 2999, 27583, 285, 346, 271, 348, 9572, 27583, 11417, 8587, 2999, 20204, 285, 346, 272, 348, 9572, 20204, 11417, 825, 21742, 332, 990, 773, 11417, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 32197, 2187, 1038, 5727, 22873, 658, 1125, 10305, 27969, 454, 1038, 1582, 8807, 32327, 815, 32197, 454, 1038, 1582, 20508, 267, 1582, 13885, 792, 267, 1582, 4732, 4428, 1460, 815, 1582, 20508, 14729, 792, 5334, 4428, 1460, 10797, 825, 1219, 2012, 14729, 792, 5334, 4428, 1460, 4311, 2187, 1038, 5727, 7476, 7260, 2012, 267, 1032, 543, 21879, 689, 32197, 27969, 454, 1038, 2694, 815, 1582, 8807, 32327, 269, 3464, 5902, 2891, 1701, 267, 476, 272, 994, 1038, 1948, 952, 972, 568, 1100, 21879, 267, 1039, 8900, 835, 454, 1038, 952, 7003, 263, 30672, 264, 2652, 476, 272, 912, 2018, 2694, 6910, 2891, 5602, 1038, 21879, 815, 2694, 314, 272, 6540, 1038, 1948, 952, 1032, 1336, 594, 666, 8237, 676, 1032, 454, 1038, 1032, 6958, 895, 815, 556, 269, 14142, 2891, 9230, 286, 281, 866, 347, 736, 9385, 323, 346, 273, 16585, 2580, 2694, 314, 271, 7481, 1038, 952, 1032, 6958, 895, 912, 2018, 1032, 815, 1032, 6958, 895, 3052, 4981, 263, 272, 994, 2018, 2012, 815, 2694, 314, 271, 4940, 4820, 819, 12169, 792, 25011, 271, 2639, 1038, 3116, 912, 2018, 1032, 815, 1193, 5560, 520, 8135, 6155, 520, 8135, 269, 852, 14061, 20204, 994, 2018, 2012, 815, 2694, 314, 271, 6540, 1038, 1948, 24846, 1125, 2012, 454, 1038, 2012, 815, 2012, 11468, 272, 4940, 21639, 3890, 1341, 2012, 314, 272, 281, 316, 1948, 1152, 1101, 4484, 26627, 27664, 454, 1038, 2012, 815, 2012, 6745, 4920, 17218, 19304, 6230, 752, 564, 4920, 20719, 257, 1701, 281, 834, 14307, 834, 318, 9899, 834, 14307, 29038, 9899, 834, 834, 348, 4917, 1038, 2012, 815, 2012, 25331, 29328, 3488, 3488, 994, 1038, 2012, 815, 1412, 29717, 21860, 28442, 21858, 28829, 1948, 4894, 3063, 263, 10175, 911, 4979, 264, 5624, 692, 1038, 2132, 630, 4067, 267, 1032, 267, 21879, 2020, 825, 1219, 3593, 17750, 4311, 267, 5401, 267, 4776, 650, 284, 5257, 2187, 1038, 5727, 27165, 3403, 609, 4776, 2683, 1871, 27969, 454, 1038, 1224, 1467, 15630, 318, 11034, 1575, 20189, 809, 10857, 10033, 281, 1224, 1467, 27044, 26748, 263, 2181, 15640, 4917, 1038, 2119, 912, 2018, 2132, 3403, 9638, 668, 696, 994, 1038, 6368, 912, 2018, 1224, 1467, 15630, 318, 11034, 1575, 20189, 809, 10797, 825, 1219, 9337, 4311, 2187, 1038, 5727, 10000, 11845, 10305, 689, 3593, 3403, 27969, 454, 1038, 1582, 20508, 815, 1582, 269, 12528, 17750, 2891, 11767, 1007, 7260, 2012, 281, 14307, 1582, 20508, 994, 1038, 1582, 13885, 792, 815, 1582, 269, 12528, 17750, 2891, 11767, 1032, 540, 519, 7260, 281, 14307, 1582, 13885, 792, 994, 1038, 1582, 4732, 4428, 1460, 815, 1582, 269, 12528, 17750, 2891, 11767, 7260, 21879, 281, 14307, 1582, 4732, 4428, 1460, 2020, 825, 1219, 556, 4067, 4311, 2187, 1038, 5727, 305, 17575, 7260, 3758, 27969, 454, 1038, 1007, 6958, 32327, 815, 28414, 269, 2908, 6958, 32327, 4671, 6374, 622, 269, 8971, 4311, 20508, 267, 1582, 13885, 792, 267, 1582, 4732, 4428, 1460, 994, 1038, 952, 15259, 29624, 18994, 12803, 4311, 8807, 32327, 2187, 2018, 1820, 6600, 257, 30262, 5446, 2715, 1345, 8807, 32327, 348, 547, 2715, 2908, 6958, 32327, 348, 907, 23528, 2018, 15259, 269, 1066, 877, 4311, 8807, 32327, 267, 1007, 6958, 32327, 2020, 825, 1219, 2328, 5332, 325, 334, 4311, 2187, 1038, 5727, 2237, 7260, 562, 325, 334, 3758, 27969, 454, 1038, 562, 325, 334, 6958, 32327, 815, 28414, 269, 2908, 6958, 32327, 4671, 6374, 622, 269, 8971, 4311, 20508, 267, 1582, 13885, 792, 267, 834, 333, 325, 334, 5602, 1038, 562, 325, 334, 318, 20880, 815, 28414, 8542, 325, 334, 4671, 6374, 622, 269, 8971, 4311, 20508, 267, 1582 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10083, 547, 1382, 5373, 593, 4143, 1382, 9691, 1865, 875, 1007, 2923, 723, 23324, 519, 3515, 1063, 269, 476, 276, 7440, 267, 1299, 2565, 3206, 2055, 1957, 3877, 281, 585, 713, 3018, 5225, 1224, 3184, 476, 1556, 5560, 20986, 540, 16203, 281, 5418, 320, 29541, 543, 8062, 264, 538, 707, 1257, 543, 2347, 519, 2838, 3561, 269, 476, 1911, 260, 1863, 4574, 593, 9691, 1865, 705, 12646, 4827, 1676, 538, 1010, 4633, 568, 1514, 960, 513, 3924, 3594, 3732, 3584, 267, 5037, 4367, 948, 267, 1382, 1299, 811, 563, 2171, 786, 2328, 513, 2688, 1557, 3732, 593, 554, 3944, 981, 2243, 1865, 519, 1292, 2934, 540, 513, 1565, 13539, 2243, 476, 272, 9691, 6218, 519, 1909, 602, 269, 589, 5542, 540, 1863, 1072, 1557, 2055, 799, 723, 1044, 1500, 2139, 547, 948, 5351, 596, 538, 2870, 707, 1378, 1072, 1557, 2243, 9691, 1865, 269, 12830, 1913, 538, 1557, 2055, 1934, 616, 930, 540, 519, 1913, 602, 1683, 519, 2565, 5528, 585, 16460, 1557, 2055, 1806, 281, 4766, 267, 1865, 269, 10749, 543, 9880, 593, 13275, 12335, 781, 3638, 731, 13797, 910, 6700, 1557, 3584, 563, 13625, 3584, 15460, 538, 1931, 547, 9691, 1865, 519, 20926, 3948, 621, 568, 1101, 2556, 547, 3313, 1018, 519, 1379, 1894, 1063, 4079, 543, 269, 2913, 721, 1265, 596, 1776, 1557, 593, 1888, 1865, 9691, 519, 6286, 540, 27646, 321, 27172, 585, 12477, 267, 543, 9870, 543, 32117, 4145, 585, 1863, 2824, 1826, 269, 5775, 342, 1359, 1557, 1865, 2055, 1565, 6364, 281, 519, 2832, 540, 713, 2534, 568, 547, 948, 596, 547, 2328, 1865, 2511, 3594, 602, 616, 6998, 585, 269, 6034, 1161, 6045, 281, 4983, 267, 9691, 4983, 267, 20272, 543, 9691, 20272, 1463, 633, 602, 26770, 11134, 547, 1412, 29171, 1380, 9691, 262, 519, 2016, 2243, 563, 7312, 20131, 786, 2503, 596, 547, 8207, 519, 1557, 2243, 883, 5057, 2694, 267, 6313, 519, 2152, 9691, 543, 8792, 569, 621, 568, 2693, 596, 616, 1373, 4280, 547, 2328, 606, 10763, 1557, 2708, 269, 1284, 1683, 5140, 1557, 1603, 3028, 476, 2190, 270, 278, 2972, 21295, 1557, 1603, 543, 2688, 1603, 2533, 3177, 676, 3318, 4081, 5830, 269, 1215, 547, 2328, 513, 2565, 1557, 513, 2565, 1557, 568, 606, 2079, 540, 513, 1257, 971, 607, 513, 1433, 267, 4670, 267, 2376, 267, 610, 7206, 1589, 827, 1018, 596, 786, 1865, 538, 707, 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 ]
[ 0, 300, 1725, 10901, 4675, 6123, 281, 11588, 267, 26678, 769, 1228, 638, 2329, 543, 12186, 454, 9596, 875, 547, 2995, 952, 596, 991, 811, 13101, 7132, 875, 547, 1489, 707, 13101, 6981, 998, 8192, 21455, 563, 1103, 519, 6946, 1623, 21620, 540, 15629, 3252, 267, 13101, 3217, 8998, 3942, 607, 513, 2101, 7777, 1898, 585, 15725, 4105, 3157, 971, 607, 1648, 2504, 267, 3940, 10282, 267, 543, 4887, 27373, 563, 4407, 938, 2732, 3091, 606, 5044, 540, 13101, 11656, 3536, 267, 519, 4641, 568, 602, 930, 540, 721, 949, 2887, 2110, 540, 5870, 938, 3232, 8192, 13101, 4170, 269, 901, 2110, 6420, 949, 1764, 938, 2489, 1072, 543, 8171, 952, 938, 1560, 779, 2702, 547, 4163, 856, 1898, 3252, 568, 13934, 563, 11767, 8192, 13101, 9360, 1107, 513, 10375, 543, 2500, 1259, 547, 948, 8115, 519, 7934, 543, 1489, 6099, 13101, 2157, 538, 519, 1560, 563, 4913, 267, 1004, 949, 711, 917, 602, 519, 2619, 547, 7110, 532, 8192, 13101, 1058, 4125, 6297, 7156, 267, 610, 513, 15360, 609, 513, 3782, 3318, 563, 4131, 779, 1491, 513, 6251, 1413, 883, 519, 2640, 540, 8192, 13101, 9360, 267, 519, 1761, 2591, 2404, 609, 16283, 8192, 4616, 267, 546, 3151, 9270, 267, 543, 519, 7415, 2360, 602, 713, 7777, 666, 723, 593, 938, 2949, 2489, 1072, 543, 8171, 563, 19119, 540, 13804, 10901, 4675, 6123, 454, 300, 1725, 10901, 267, 513, 13654, 5057, 540, 938, 7633, 267, 2281, 267, 543, 6091, 267, 4249, 606, 16832, 1909, 538, 4509, 519, 8699, 540, 938, 12214, 3157, 563, 8601, 922, 9860, 538, 1978, 3536, 971, 607, 21364, 16719, 267, 2898, 9274, 267, 10365, 267, 543, 10808, 267, 1082, 2043, 6560, 547, 12492, 519, 5227, 3232, 6981, 563, 6097, 547, 519, 4972, 540, 2657, 781, 4808, 267, 2367, 896, 476, 1789, 1296, 540, 2085, 991, 476, 6110, 31501, 630, 16936, 264, 540, 13101, 829, 1554, 543, 2367, 936, 476, 4029, 991, 476, 22213, 16936, 513, 1554, 563, 18131, 896, 476, 1789, 991, 476, 20542, 16936, 1142, 1554, 543, 476, 17168, 16936, 513, 1554, 1310, 476, 4029, 269, 21250, 656, 543, 20418, 2021, 267, 2705, 267, 991, 811, 982, 602, 267, 5111, 476, 12573, 547, 476, 11740, 16936, 513, 1554, 563, 763, 5227, 3232, 6981, 585, 1453, 568, 912, 272, 268, 274, 1296, 281, 476, 3199, 16936, 454, 275, 268, 279, 1296, 281, 476, 9873, 16936, 454, 280, 268, 1724, 1296, 281, 476, 13301, 16936, 454, 289, 9081, 476, 1691, 268, 1240, 1296, 281, 476, 25148, 16936, 454, 294, 597, 3149, 476, 1691, 268, 1240, 1296, 281, 476, 11740, 16936, 454, 4407, 513, 2582, 7484, 540, 6151, 22156, 666, 3565, 909, 547, 476, 736, 260, 540, 606, 2937, 779, 3232, 13101, 10421, 267, 519, 4641, 540, 10438, 519, 6697, 540, 2947, 11680, 540, 22156, 3232, 3788, 513, 4161, 585, 1082, 2043, 563, 300, 1725, 10901, 8192, 9360, 1900, 538, 607, 513, 3407, 24343, 267, 4180, 602, 649, 666, 2743, 938, 3232, 13101, 9072, 267, 3226, 593, 2395, 950, 8236, 513, 7059, 2732, 1522, 581, 513, 6560, 267, 610, 8192, 6981, 568, 16283, 563, 291, 2884, 776, 4347, 11351, 610, 1879, 26678, 2271, 820, 568, 769, 1228, 12930, 454, 1103, 1228, 12930, 8192, 13101, 6981, 1058, 711, 581, 19765, 13846, 267, 607, 621, 814, 1044, 5532, 547, 513, 8552, 540, 1072, 4161, 2127, 563, 10932, 689, 519, 8241, 13163, 540, 10803, 19156, 713, 3390, 267, 13031, 602, 5111, 835, 21017, 540, 2937, 26880, 798, 711, 3489, 6190, 13101, 689, 741, 11326, 563, 29002, 547, 519, 6988, 267, 7114, 8192, 13101, 10638, 949, 711, 581, 3551, 267, 2705, 1004, 949, 1995, 2009, 4191, 540, 16283, 13101, 8192, 6981, 267, 971, 607, 4887, 25574, 610, 838, 553, 916, 563, 295, 629, 1080, 899, 7050, 6995, 4616, 267, 4568, 6981, 267, 15568, 4006, 267, 14614, 267, 543, 6070, 6165, 666, 17225, 13101, 10338, 267, 7700, 547, 8192, 10638, 563, 300, 1725, 10901, 9360, 2709, 513, 3070, 547, 2009, 13101, 8192, 1202, 340, 1553, 13853, 30032, 1228, 12930, 8192, 6981, 267, 5356, 513, 10375, 1797, 547, 1489, 13101, 2157, 563, 291, 3151, 19047, 585, 13804, 10901, 26678, 26929, 566, 454, 23005, 1456, 519, 3617, 18262, 540, 13101, 21455, 568, 513, 13857, 4305, 267, 6766, 676, 2188, 971, 607, 2085, 267, 4008, 267, 6379, 267, 20418, 267, 543, 5817, 1072, 2175, 563, 2414, 6330, 713, 14099, 14013, 267, 5275, 5583, 689, 513, 3782, 3318, 666, 581, 5363, 563, 763, 5227, 3232, 6981, 13315, 1312, 8192, 13101, 543, 7110, 23402, 13101, 267, 543, 513, 2123, 2213, 1935, 5849, 602, 596, 10880, 519, 1318, 3666, 563, 22546, 338, 281, 634, 15783, 540, 26678, 13804, 10901, 4675, 6123, 454, 763, 2640, 540, 8192, 13101, 9360, 8831, 2484, 3564, 6071, 8192, 21455, 269, 901, 7777, 6585, 519, 1883, 547, 5466, 513, 8552, 540, 1072, 2591, 267, 1519, 7646, 4887, 25574, 267, 838, 553, 916, 543, 1000, 9662, 267, 950, 8192, 6981, 568, 16283, 563, 2005, 781, 10423, 602, 13101, 2337, 32427, 622, 513, 18900, 1623, 21620, 1369, 938, 4703, 685, 3232, 10894, 3252, 267, 12018, 3309, 3344, 540, 938, 2489, 1072, 543, 8171, 563, 4407, 13101, 11656, 3536, 899, 22156, 267, 3109, 10365, 267, 10300, 756, 583, 267, 30646, 267, 25636, 267, 543, 4158, 10217, 2709, 513, 2067, 8905, 547, 21455, 267, 8192, 2242, 616, 711, 2141, 15164, 585, 3025, 563, 300, 1725, 10901, 8192, 9360, 1459, 513, 14323, 4781, 543, 3070, 585, 4887, 1072, 1489, 267, 3850, 2043, 547, 2972, 519, 12587, 3927, 563, 300, 1725, 10901, 26929, 4813, 2827, 454, 2691, 621, 2501, 547, 13101, 9360, 267, 972, 616, 513, 2647, 2039, 540, 30422, 593, 519, 2344, 267, 1082, 3351, 2358, 1114, 3029, 540, 519, 7777, 267, 799, 666, 1118, 1587, 3903, 2352, 585, 14987, 547, 519, 21455, 540, 14911, 11955, 563, 10376, 1826, 540, 13101, 3091, 3982, 4162, 543, 2640, 267, 23695, 547, 8795, 1072, 2115, 543, 7375, 563, 3080, 4122, 1031, 1106, 568, 13101, 12547, 267, 17028, 7458, 585, 922, 1164, 13101, 1543, 269, 1717, 267, 621, 568, 4502, 15663, 602, 922, 6915, 822, 22355, 666, 581, 3908, 267, 799, 666, 1860, 922, 10338, 563, 300, 1725, 10901, 3632, 3433, 267, 593, 519, 824, 1688, 267, 19646, 9120, 10338, 3928, 267, 1818, 621, 513, 2442, 3903, 585, 1346, 5275, 3608, 21455, 563, 300, 1725, 10901, 25026, 3729, 267, 18931, 585, 922, 9543, 1764, 593, 519, 9667, 1062, 267, 568, 1419, 7957, 10696, 676, 2043, 12155, 547, 16063, 9636, 563, 12234, 267, 13101, 23253, 267, 4122, 1634, 607, 661, 1186, 558, 6070, 267, 568, 3773, 547, 25695, 31725, 538, 1931, 547, 1683, 513, 21363, 1995, 563, 4322, 7648, 538, 13101, 9360, 20838, 519, 2956, 540, 8939, 513, 1826, 602, 20383, 609, 1367, 2115, 543, 6859, 563, 2026, 609, 1022, 21455, 267, 17874, 513, 3782, 3318, 949, 581, 2556, 538, 1931, 547, 2327, 6099, 7145, 563, 288, 5295, 995, 15484, 454, 1103, 3932, 267, 13101, 9360, 1796, 607, 513, 3532, 1907, 538, 938, 13287, 540, 6099, 2489, 1072, 543, 8171, 269, 1306, 513, 2565, 6345, 538, 1585, 15629, 3252, 267, 13101, 781, 4644, 3112, 581, 936, 26061, 563, 3528, 5466, 8192, 10638, 610, 16283, 8192, 6981, 267, 5885, 2949, 267, 2489, 1072, 543, 8171, 267, 543, 3246, 6098, 1489, 585, 1808, 1072, 1949, 267, 13101, 9360, 7668, 721, 547, 10244, 519, 7096, 2640, 540, 713, 1898, 7777, 563, 4913, 267, 25054, 593, 519, 3460, 540, 13101, 8192, 21455, 949, 2154, 513, 15360, 609, 513, 3782, 3318, 267, 585, 2417, 6351, 563, 4415, 1697, 5583, 543, 513, 13533, 1935, 267, 13101, 8192, 9360, 666, 4196, 607, 513, 3407, 10697, 538, 938, 5571, 1391, 585, 2489, 267, 21755, 543, 9716, 269, 0, 2026, 513, 2385, 267, 596, 1616, 547, 2285, 707, 1126, 519, 1655, 2009, 1376, 538, 1272, 269, 901, 2882, 7446, 513, 2012, 602, 568, 6209, 543, 513, 22273, 5534, 269, 1403, 596, 616, 3168, 585, 513, 2012, 585, 707, 4816, 7911, 602, 568, 6273, 676, 10100, 267, 5578, 267, 543, 14017, 267, 1287, 2015, 835, 540, 519, 1082, 6209, 1488, 329, 10044, 4408, 689, 519, 10067, 629, 9618, 1092, 563, 6635, 329, 10044, 568, 835, 540, 519, 1034, 2442, 543, 11537, 3197, 538, 519, 10067, 629, 9618, 1092, 269, 1261, 568, 1634, 585, 1010, 10100, 267, 5578, 267, 543, 14017, 269, 1488, 329, 10044, 568, 849, 513, 3090, 540, 519, 4998, 24116, 543, 519, 20032, 540, 546, 327, 12609, 563, 1103, 713, 5816, 2022, 267, 649, 786, 2671, 513, 1592, 540, 476, 2420, 6209, 1488, 329, 10044, 4408, 689, 519, 10067, 629, 9618, 1092, 267, 2059, 609, 741, 10096, 269, 1284, 4126, 713, 1592, 786, 581, 5363, 585, 596, 607, 596, 3442, 519, 3501, 2012, 585, 707, 4816, 7911, 563, 8368, 540, 12937, 454, 8005, 568, 1488, 329, 10044, 888, 6635, 329, 10044, 568, 835, 540, 519, 17455, 6072, 14552, 267, 519, 14930, 540, 3751, 17455, 340, 543, 1010, 30842, 267, 918, 2863, 328, 543, 8496, 686, 269, 1261, 568, 513, 1883, 1915, 538, 519, 10067, 629, 9618, 1092, 267, 799, 568, 835, 540, 519, 1034, 1713, 3504, 4095, 3134, 923, 269, 1488, 329, 10044, 568, 12021, 585, 1010, 11108, 818, 30987, 1983, 267, 10100, 267, 543, 15984, 547, 546, 327, 12609, 630, 2431, 15667, 1145, 1916, 3891, 568, 1419, 9833, 607, 513, 3090, 540, 16495, 267, 5837, 8699, 267, 543, 10279, 269, 1488, 329, 10044, 568, 1655, 1634, 585, 1010, 1909, 607, 513, 24116, 19036, 543, 513, 3844, 4137, 538, 519, 918, 15843, 802, 2867, 571, 2782, 267, 1141, 646, 6039, 607, 519, 3056, 24116, 585, 519, 17455, 822, 553, 563, 3963, 2012, 707, 4816, 1310, 1488, 329, 10044, 888, 301, 5446, 513, 4816, 1310, 1488, 329, 10044, 666, 581, 513, 3903, 12082, 538, 25621, 585, 519, 1915, 779, 7907, 543, 21644, 267, 971, 607, 22838, 267, 32660, 267, 543, 26772, 11428, 547, 10279, 269, 3371, 616, 930, 4128, 1946, 3237, 1522, 3442, 547, 2012, 741, 1126, 1310, 1488, 329, 10044, 912, 268, 13507, 540, 12484, 826, 281, 1488, 329, 10044, 568, 2938, 607, 513, 3090, 540, 5837, 8699, 543, 15984, 547, 3741, 540, 546, 327, 12609, 267, 1818, 519, 2012, 513, 3903, 602, 9356, 5683, 2418, 563, 268, 15552, 545, 22684, 281, 1488, 329, 10044, 779, 24123, 23339, 543, 11108, 818, 30987, 1983, 616, 9976, 538, 519, 10067, 629, 9618, 1092, 267, 543, 20803, 513, 1126, 1310, 1864, 666, 581, 513, 1259, 547, 8956, 891, 7907, 563, 268, 8836, 19043, 281, 769, 9699, 2528, 267, 519, 10067, 629, 9618, 1092, 6585, 10373, 2686, 543, 3140, 4644, 267, 543, 20803, 513, 1126, 1310, 513, 1915, 689, 713, 12473, 568, 513, 1259, 547, 1921, 609, 938, 6561, 563, 268, 6184, 17508, 281, 14268, 949, 3442, 519, 2012, 1488, 329, 10044, 547, 8300, 741, 1126, 547, 581, 29752, 267, 4075, 6681, 267, 543, 6131, 538, 741, 1272, 779, 18697, 563, 268, 12465, 715, 5446, 281, 769, 930, 3885, 543, 4525, 267, 621, 568, 513, 2245, 547, 2012, 1453, 1310, 19416, 5515, 689, 3504, 5931, 267, 1519, 519, 10067, 629, 9618, 1092, 563, 2420, 5903, 540, 1488, 329, 10044, 18780, 585, 17926, 15196, 454, 347, 301, 1868, 630, 23547, 14098, 362, 10534, 13614, 902, 630, 2633, 483, 18892, 11695, 354, 10245, 347, 2304, 329, 531, 11986, 630, 2633, 483, 2633, 508, 11695, 506, 2633, 366, 18028, 499, 10534, 3080, 945, 3091, 2892, 20706, 282, 1129, 4328, 1010, 20174, 269, 630, 2633, 483, 18892, 11695, 504, 23547, 11111, 7162, 501, 18892, 11695, 357, 17775, 7162, 369, 11695, 363, 24691, 11695, 353, 16284, 10245, 347, 6635, 329, 10044, 630, 2633, 483, 18892, 11695, 506, 27758, 23547, 10534, 763, 3312, 2012, 540, 519, 1390, 24116, 19036, 540, 519, 10067, 629, 9618, 1092, 267, 1634, 585, 1010, 818, 30987, 1983, 269, 630, 28440, 2633, 373, 14098, 511, 14098, 364, 23371, 24691, 26498, 7162, 369, 21005, 18892, 7162, 363, 26498, 2633, 355, 11695, 356, 11111, 7162, 483, 18892, 11695, 506, 27758, 23547, 24691, 26498, 7162, 483, 28637, 2633, 366, 7162, 357, 14098, 362, 10245, 21270, 756, 1002, 24175, 630, 2633, 361, 18028, 511, 23371, 11695, 372, 27758, 10534, 763, 835, 945, 20247, 10105, 9409, 282, 1129, 4328, 1010, 22233, 2470, 269, 630, 2633, 355, 27758, 2633, 371, 11695, 509, 23371, 14098, 366, 14098, 485, 7162, 502, 5936, 481, 2633, 352, 11111, 7162, 501, 18892, 11695, 357, 17775, 10245, 25238, 7315, 534, 329, 599, 630, 2633, 356, 23547, 2633, 508, 11695, 506, 2633, 363, 10534, 3080, 945, 6770, 13884, 543, 5763, 547, 519, 2244, 269, 630, 2633, 356, 23547, 7162 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 901, 1148, 1106, 814, 6591, 1713, 6284, 538, 2487, 1296, 1813, 547, 922, 2686, 4644, 267, 12716, 5898, 267, 543, 2702, 547, 6655, 1950, 6386, 827, 519, 27478, 1259, 540, 1272, 269, 1306, 513, 2875, 540, 3203, 267, 3226, 5461, 538, 1977, 543, 7111, 1977, 4529, 267, 3695, 27478, 1820, 14708, 786, 1683, 596, 609, 3407, 4030, 883, 713, 10058, 1148, 2245, 543, 922, 10083, 2221, 780, 2414, 2253, 267, 621, 568, 1898, 547, 1174, 519, 3140, 2796, 540, 27478, 1820, 14708, 269, 634, 11944, 540, 713, 1148, 1106, 666, 581, 14360, 1394, 547, 519, 4571, 268, 736, 628, 2540, 950, 8225, 8128, 15748, 3292, 6322, 693, 882, 20814, 543, 15849, 559, 908, 27478, 5095, 883, 7013, 17260, 269, 1452, 3646, 22314, 2757, 2081, 540, 2713, 267, 4929, 1082, 27478, 5159, 547, 3343, 4244, 1797, 540, 8497, 741, 2528, 543, 6561, 269, 9182, 267, 27478, 1820, 16234, 3459, 1210, 2413, 2553, 899, 12776, 2762, 267, 1696, 4221, 267, 6149, 12827, 1154, 267, 543, 23296, 4290, 8228, 547, 1711, 3308, 11269, 540, 741, 17691, 267, 4978, 267, 543, 3232, 2729, 780, 3080, 540, 519, 1034, 7986, 2934, 540, 27478, 1820, 14708, 568, 922, 8561, 593, 9423, 269, 12465, 27478, 2486, 5116, 1390, 2956, 593, 5711, 6386, 5293, 1524, 998, 5481, 269, 2060, 519, 7771, 540, 5711, 5389, 1813, 547, 7142, 21939, 267, 1820, 14708, 2968, 513, 4105, 5420, 585, 10916, 543, 4687, 891, 2984, 11617, 269, 1280, 1383, 267, 8230, 334, 9857, 752, 1306, 515, 341, 752, 781, 11599, 3126, 834, 763, 2037, 577, 5896, 26449, 2437, 799, 20186, 1585, 23200, 540, 31450, 10483, 676, 25386, 6698, 543, 5515, 267, 20502, 875, 27478, 1820, 16234, 946, 11052, 547, 4020, 8903, 2984, 12082, 538, 741, 18577, 1702, 780, 5194, 2565, 2460, 540, 27478, 1820, 14708, 6013, 538, 922, 8766, 626, 15312, 269, 9603, 547, 3908, 2200, 2139, 538, 519, 10792, 11848, 1604, 267, 2038, 27478, 16493, 1419, 12286, 2241, 3515, 267, 5546, 267, 543, 3270, 6273, 676, 2470, 269, 3683, 942, 267, 2705, 267, 891, 9583, 25229, 21747, 6272, 7960, 883, 10427, 3308, 4654, 5827, 540, 11589, 7096, 4664, 543, 2093, 269, 6333, 16381, 572, 565, 752, 12891, 3019, 320, 781, 960, 834, 23991, 9919, 30503, 1674, 2437, 1141, 1352, 3096, 23661, 2943, 20982, 3515, 547, 9414, 513, 7772, 748, 11018, 540, 1920, 2818, 269, 6270, 16134, 2636, 13588, 547, 1921, 7184, 609, 519, 11247, 1247, 19825, 519, 4199, 6888, 7915, 538, 27478, 2528, 780, 11101, 267, 4207, 27478, 1820, 16234, 3136, 547, 3048, 622, 1369, 713, 3638, 7499, 9371, 269, 3509, 723, 3323, 6220, 1007, 2326, 543, 4066, 883, 741, 2259, 267, 9750, 519, 6302, 540, 1018, 13054, 27478, 1820, 14708, 269, 25014, 773, 744, 517, 1046, 267, 585, 3236, 267, 5916, 2757, 3365, 1664, 2409, 609, 1820, 14708, 2553, 538, 1200, 4062, 834, 6635, 8157, 4658, 2437, 16471, 2025, 543, 1007, 4485, 32069, 269, 1635, 8508, 1689, 543, 9542, 267, 2413, 27478, 1820, 16234, 6542, 6043, 543, 5876, 267, 5329, 9800, 519, 6891, 540, 741, 11937, 9624, 5571, 6848, 14759, 780, 15563, 267, 2502, 609, 27478, 1820, 14708, 3091, 3255, 585, 3444, 14426, 5188, 543, 1620, 269, 24167, 891, 1568, 6087, 721, 547, 5660, 519, 3309, 2833, 540, 7087, 9082, 2066, 3345, 3013, 1732, 269, 5015, 267, 5885, 27478, 5159, 8309, 547, 2804, 16882, 543, 1582, 24148, 585, 891, 2950, 269, 4935, 267, 4974, 27478, 1820, 14708, 25186, 6071, 4081, 1719, 282, 621, 3587, 606, 957, 540, 17604, 543, 2463, 2509, 513, 7524, 2528, 602, 5170, 547, 8853, 1996, 14488, 780, 1103, 3932, 267, 18167, 883, 27478, 1820, 14708, 2488, 1053, 540, 3203, 267, 2523, 1346, 5059, 593, 1977, 543, 7111, 1977, 4529, 267, 609, 513, 13857, 5133, 593, 713, 7415, 1148, 1106, 269, 3414, 1620, 922, 8129, 267, 9423, 1445, 267, 8766, 2065, 15312, 267, 5647, 267, 543, 6626, 6286, 267, 6267, 666, 2744, 4514, 5813, 883, 1312, 519, 27478, 1995, 543, 519, 1379, 540, 1148, 607, 513, 1907, 585, 2686, 11091, 543, 2792, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 2985, 8638, 782, 1699, 2296, 15938, 6030, 676, 1377, 269, 1411, 666, 1265, 1576, 14592, 585, 782, 519, 6030, 2630, 538, 519, 2296, 8257, 781, 28924, 16086, 25201, 267, 543, 596, 666, 1265, 4013, 1576, 11673, 538, 519, 2160, 540, 4826, 31846, 25038, 563, 8450, 849, 938, 824, 1576, 8638, 912, 2690, 811, 1344, 593, 1022, 1576, 7396, 2630, 267, 4945, 519, 1576, 2140, 563, 293, 2109, 630, 2894, 21923, 476, 1911, 288, 2567, 1323, 4367, 547, 5708, 998, 519, 2143, 6514, 540, 513, 2039, 540, 9089, 543, 5924, 2110, 2984, 563, 22437, 4479, 630, 2894, 21923, 476, 1911, 289, 2567, 1323, 4367, 547, 6965, 998, 513, 2143, 6514, 540, 513, 2039, 540, 19621, 5931, 563, 291, 18769, 630, 2894, 21923, 476, 1911, 290, 2567, 1323, 4367, 547, 10565, 3332, 998, 519, 2143, 6514, 540, 513, 2039, 540, 10565, 5931, 563, 7072, 547, 16520, 5525, 630, 2894, 21923, 476, 6200, 288, 2567, 1323, 4367, 547, 519, 1353, 540, 3332, 267, 8720, 971, 2127, 540, 679, 11431, 607, 5339, 1686, 267, 9135, 267, 9880, 267, 2079, 267, 543, 3069, 563, 7072, 547, 31898, 5566, 5525, 630, 2894, 21923, 476, 6200, 289, 2567, 901, 1576, 12857, 1053, 547, 20116, 281, 519, 1148, 540, 829, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 1103, 3726, 7179, 14708, 257, 607, 851, 540, 834, 11286, 1315, 1977, 1315, 7111, 1977, 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, 19889, 6363, 7037, 14856, 538, 19565, 11470, 692, 296, 269, 4985, 692, 288, 269, 9502, 540, 10357, 7888, 4189, 454, 289, 269, 11957, 540, 5009, 10357, 7888, 4189, 1851, 1762, 3988, 454, 290, 269, 11137, 540, 1883, 2035, 4988, 538, 713, 1770, 692, 2862, 269, 4197, 519, 12539, 14272, 2745, 540, 5253, 692, 288, 269, 19247, 540, 3327, 11640, 454, 272, 269, 5682, 5264, 3154, 5434, 2404, 609, 6721, 267, 4393, 267, 6283, 267, 4859, 267, 543, 12871, 540, 1426, 454, 273, 269, 17583, 1063, 1426, 5079, 543, 2916, 1689, 454, 289, 269, 10829, 4328, 519, 3327, 11640, 540, 1114, 3536, 454, 272, 269, 10960, 2472, 5288, 269, 2030, 2861, 3536, 454, 273, 269, 18815, 3845, 543, 7154, 454, 274, 269, 13870, 2853, 630, 324, 3052, 1421, 5214, 267, 6671, 994, 290, 269, 7464, 3734, 1383, 281, 634, 6936, 8779, 540, 5253, 1353, 676, 18917, 6153, 5253, 692, 7656, 269, 11588, 540, 10871, 590, 25703, 692, 288, 269, 20223, 12725, 21433, 3536, 454, 289, 269, 7025, 2640, 454, 272, 269, 25841, 8511, 3154, 5434, 1813, 547, 10156, 6283, 9883, 454, 273, 269, 27264, 540, 3484, 1633, 543, 1930, 5624, 454, 274, 269, 11559, 618, 540, 9265, 998, 3309, 7693, 5542, 454, 290, 269, 9483, 2640, 454, 272, 269, 8081, 585, 2199, 6705, 543, 4213, 454, 273, 269, 16237, 28517, 540, 2146, 4296, 454, 291, 269, 6201, 540, 12725, 21433, 5820, 454, 272, 269, 18610, 3132, 267, 10683, 267, 5798, 267, 543, 16469, 454, 273, 269, 17897, 1275, 543, 922, 1764, 593, 8244, 692, 4353, 269, 19078, 29283, 538, 26678, 31346, 692, 288, 269, 12876, 4123, 3741, 454, 272, 269, 32237, 540, 4023, 13848, 547, 4600, 454, 273, 269, 15822, 2324, 2175, 543, 4074, 2924, 4027, 454, 274, 269, 8871, 10056, 540, 4264, 8105, 2853, 454, 289, 269, 17667, 6683, 454, 272, 269, 1160, 22128, 540, 10991, 13851, 267, 18168, 267, 16220, 9168, 7103, 630, 14875, 11675, 1070, 543, 21137, 31993, 454, 273, 269, 22716, 529, 593, 3037, 1072, 267, 9265, 267, 543, 3662, 10304, 454, 290, 269, 7233, 268, 3453, 11326, 454, 272, 269, 2657, 2640, 540, 4227, 5779, 4616, 454, 273, 269, 26954, 2640, 540, 4389, 2244, 543, 1216, 6165, 454, 274, 269, 10020, 540, 9423, 538, 10962, 1007, 3536, 543, 8716, 7279, 827, 2371, 692, 309, 269, 9752, 19889, 6363, 7037, 14856, 3414, 9085, 692, 288, 269, 29922, 2085, 29003, 2835, 10023, 10357, 7888, 4798, 454, 289, 269, 30459, 5339, 2079, 2553, 547, 2263, 3197, 262, 3347, 609, 1426, 543, 2470, 454, 290, 269, 27588, 3992, 4566, 1472, 1433, 5717, 267, 5986, 2238, 267, 543, 3860, 3785, 454, 272, 269, 18948, 540, 14070, 2984, 609, 1483, 8996, 1239, 593, 1426, 1949, 454, 273, 269, 16709, 540, 2686, 5380, 593, 1426, 2504, 543, 4616, 454, 274, 269, 11020, 10445, 532, 2093, 585, 2123, 3527, 547, 2569, 1367, 3327, 29066, 692, 9654, 269, 10390, 692, 288, 269, 1234, 5115, 540, 1883, 1565, 6859, 454, 289, 269, 17564, 540, 875, 10357, 7888, 4189, 666, 581, 4294, 3564, 11174, 5708, 3332, 454, 290, 269, 12833, 2787, 547, 3136, 3695, 519, 4276, 1063, 1426, 5079, 543, 2825, 19642, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2026, 811, 1004, 1831, 3222, 540, 519, 4641, 540, 2916, 1689, 543, 2825, 3441, 267, 789, 1376, 5275, 585, 2409, 547, 2661, 811, 30396, 563, 292, 1723, 7888, 18226, 568, 835, 851, 540, 713, 6197, 602, 814, 4607, 513, 2603, 540, 3007, 25015, 269, 901, 4016, 547, 519, 2259, 540, 4189, 543, 6704, 538, 513, 1259, 602, 568, 1312, 5683, 543, 4264, 563, 1103, 713, 2022, 267, 649, 3580, 1413, 693, 930, 5683, 6704, 5615, 543, 4264, 8192, 6208, 602, 1004, 949, 946, 547, 24390, 741, 3327, 11640, 543, 2087, 519, 1604, 563, 306, 20980, 5253, 13756, 454, 28848, 16511, 958, 4149, 712, 1027, 16639, 454, 8256, 11167, 1426, 689, 2199, 2959, 568, 835, 540, 519, 1655, 2409, 547, 2539, 707, 2732, 779, 3327, 11640, 269, 1635, 3257, 713, 267, 596, 2057, 1104, 532, 1426, 689, 824, 4525, 610, 6082, 543, 3079, 3442, 547, 6718, 2199, 5370, 269, 901, 4480, 814, 1079, 5383, 281, 1101, 267, 621, 3096, 1447, 1648, 547, 3560, 1426, 2066, 5318, 9883, 267, 543, 2034, 267, 621, 7028, 6237, 6705, 543, 1426, 12696, 563, 14300, 540, 16511, 958, 4149, 712, 1027, 16639, 454, 293, 3306, 5613, 543, 3543, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 18181, 1299, 5253, 1315, 19889, 6363, 7037, 14856, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 25187, 568, 9090, 606, 10288, 1982, 540, 4031, 24451, 543, 1500, 676, 22257, 610, 1914, 762, 3506, 547, 10038, 7180, 267, 2059, 609, 519, 3810, 4977, 2298, 829, 694, 606, 3390, 540, 2757, 15539, 269, 898, 568, 2356, 2808, 519, 4739, 610, 3621, 10459, 540, 3540, 9086, 269, 769, 824, 7653, 267, 621, 2731, 568, 4122, 5219, 547, 607, 519, 1641, 540, 4656, 610, 1876, 269, 6406, 6042, 267, 2094, 519, 6003, 5267, 267, 14439, 6381, 7282, 637, 2064, 543, 2367, 543, 2021, 267, 1930, 1857, 3435, 543, 23118, 269, 769, 713, 3376, 1158, 972, 616, 849, 1585, 2010, 540, 1876, 267, 971, 607, 10336, 3652, 267, 602, 568, 602, 1560, 1062, 540, 6042, 5466, 10363, 3527, 543, 922, 3982, 569, 6306, 689, 519, 3540, 9086, 563, 19675, 596, 6068, 713, 2022, 543, 596, 1616, 547, 4309, 811, 9623, 11341, 547, 875, 547, 2626, 513, 14805, 976, 585, 7963, 4015, 4179, 2517, 4178, 4732, 565, 657, 3726, 2593, 1252, 3585, 3643, 938, 1378, 3135, 563, 290, 2753, 543, 10336, 7939, 616, 9286, 607, 519, 3044, 1949, 540, 5313, 2229, 6392, 543, 786, 1331, 519, 1985, 281, 4031, 602, 2232, 3800, 538, 26418, 618, 609, 519, 9086, 267, 6042, 602, 1966, 2123, 19771, 267, 4031, 543, 6042, 602, 6161, 5238, 267, 543, 824, 9086, 602, 10038, 11678, 269, 1703, 616, 476, 273, 7928, 28944, 2429, 3540, 6042, 602, 2736, 1524, 519, 2230, 3652, 883, 1079, 1880, 2516, 269, 1452, 6688, 1331, 3540, 9086, 602, 2934, 13882, 1063, 2123, 3252, 543, 1055, 2658, 7939, 267, 799, 2154, 7803, 1055, 5151, 8957, 519, 1448, 856, 543, 2486, 269, 6406, 9086, 1281, 711, 14196, 676, 3294, 609, 4357, 16873, 543, 7803, 4031, 14543, 547, 2339, 829, 694, 609, 2042, 11341, 547, 12600, 1205, 2389, 690, 564, 1667, 563, 290, 2753, 9086, 22875, 8754, 267, 6023, 7526, 602, 1491, 1747, 5473, 2123, 7264, 7132, 519, 2229, 11783, 901, 568, 519, 2462, 11984, 1063, 3540, 543, 1055, 2658, 1876, 269, 901, 2186, 540, 22195, 949, 7654, 2097, 909, 2476, 689, 1896, 1114, 3871, 269, 3509, 540, 891, 3871, 27167, 2152, 998, 1753, 15896, 267, 930, 4125, 13882, 936, 519, 14496, 540, 606, 2229, 3964, 267, 543, 930, 1256, 2270, 7526, 811, 982, 13542, 585, 1383, 16028, 1184, 543, 7911, 610, 8004, 26692, 269, 2368, 7440, 538, 3540, 4031, 2127, 616, 6976, 856, 3842, 519, 10470, 267, 972, 616, 1082, 17756, 267, 799, 1331, 930, 512, 2176, 267, 1175, 899, 32226, 543, 4853, 7526, 267, 602, 798, 711, 991, 519, 3403, 689, 519, 5480, 3336, 4640, 269, 4033, 2010, 540, 3617, 13882, 711, 5275, 519, 948, 540, 519, 5480, 616, 32404, 267, 1582, 3146, 335, 19948, 267, 543, 5863, 25036, 563, 19968, 20218, 2883, 8852, 1118, 4704, 547, 2238, 602, 3549, 7119, 538, 936, 513, 4948, 4493, 269, 1452, 8852, 267, 2436, 789, 2154, 16565, 610, 1191, 29818, 2533, 610, 5370, 267, 3384, 513, 19710, 267, 8939, 10986, 267, 610, 3478, 883, 11650, 267, 616, 9763, 1870, 20218, 9388, 269, 6732, 1870, 6042, 568, 1016, 323, 22866, 883, 1114, 2010, 540, 4031, 585, 1142, 543, 1169, 1826, 540, 1870, 3635, 269, 589, 1297, 540, 891, 3344, 540, 2754, 9086, 1331, 281, 28867, 867, 268, 1066, 614, 7939, 267, 3028, 8502, 28129, 8502, 9086, 267, 2533, 8686, 754, 528, 4031, 267, 1870, 7939, 267, 543, 14407, 6455, 4747, 3454, 1876, 563, 288, 1297, 540, 6042, 616, 2139, 602, 1491, 1416, 540, 3959, 610, 1753, 543, 824, 1644, 7965, 269, 2290, 4990, 540, 4031, 568, 5001, 9086, 267, 519, 1062, 540, 7939, 602, 3091, 4808, 540, 14892, 585, 1022, 1004, 2221, 267, 28000, 540, 22874, 267, 6735, 543, 15114, 610, 5132, 269, 2290, 824, 3148, 540, 1455, 9086, 568, 12475, 3652, 269, 32202, 6042, 6799, 14319, 547, 1346, 945, 723, 1044, 12517, 10413, 610, 4636, 539, 267, 7132, 621, 695, 3658, 519, 23118, 540, 1866, 945, 723, 1044, 12936, 676, 519, 14892, 563, 307, 31320, 4031, 568, 2943, 1776, 1858, 540, 7839, 4031, 602, 568, 7133, 4213, 593, 519, 4948, 5748, 269, 12525, 3915, 4808, 1223, 7500, 538, 11450, 609, 824, 8128, 4507, 269, 1403, 606, 1367, 666, 1406, 2628, 1055, 741, 12375, 267, 519, 5313, 2229, 666, 21959, 880, 4747, 267, 28958, 28378, 267, 543, 798, 782, 5686, 540, 824, 2152, 538, 1931, 547, 3489, 519, 7415, 7963, 269, 901, 568, 513, 513, 851, 540, 3540, 6042, 602, 9388, 609, 7440, 1657, 19647, 267, 971, 607, 1870, 13882, 269, 6406, 7939, 949, 849, 581, 1031, 538, 10363, 25036, 267, 971, 607, 7803, 6411, 1996, 1483, 10040, 267, 2182, 12236, 6666, 267, 610, 2367, 543, 2021, 563, 3080, 824, 6498, 540, 6042, 2882, 4853, 7440, 602, 4755, 1851, 14804, 1205, 2389, 690, 564, 1667, 269, 2986, 1857, 1876, 269, 2334, 779, 835, 1826, 540, 15539, 602, 949, 7500, 1927, 609, 824, 3656, 4808, 269, 589, 7082, 6042, 24187, 10953, 952, 596, 1995, 930, 2186, 540, 2800, 610, 3614, 675, 799, 814, 1044, 6192, 547, 930, 16058, 1373, 543, 12284, 267, 610, 8087, 2829, 269, 589, 3099, 540, 29170, 14843, 602, 2291, 538, 7082, 7939, 2270, 7130, 547, 2149, 1996, 4961, 610, 3549, 267, 4636, 995, 18275, 267, 543, 3656, 3527, 11341, 547, 2489, 1857, 2591, 269, 13751, 2665, 799, 4755, 1369, 513, 2489, 2551, 5480, 616, 1572, 2489, 1857, 20494, 341, 1734, 269, 769, 2013, 513, 2489, 2551, 3652, 15539, 568, 711, 2731, 17251, 4794, 26476, 1176, 267, 519, 27674, 858, 949, 723, 519, 1318, 547, 3561, 513, 20494, 9330, 538, 519, 1533, 9794, 563, 299, 20235, 4648, 949, 616, 6964, 538, 835, 540, 891, 6810, 540, 7939, 547, 2709, 16048, 2533, 547, 1004, 543, 824, 3549, 267, 538, 930, 2665, 269, 898, 1590, 581, 13006, 602, 782, 540, 519, 891, 6810, 540, 6042, 723, 547, 723, 519, 6697, 2179, 540, 6791, 543, 2069, 547, 2259, 269, 7102, 7853, 945, 2409, 538, 1175, 835, 6498, 540, 3540, 7939, 1522, 849, 1184, 538, 835, 811, 5544, 267, 543, 3656, 13222, 723, 547, 1832, 909, 609, 782, 540, 519, 1007, 3986, 906, 563, 2252, 596, 6068, 713, 2376, 543, 596, 1131, 899, 547, 1205, 2484, 811, 1239, 7282, 1175, 4945, 519, 909, 4947, 1357, 3135, 24963, 1491, 513, 1413, 693, 519, 1357, 22240, 563, 295, 611, 596, 1044, 3206, 827, 519, 1570, 538, 713, 2376, 267, 1934, 616, 930, 1256, 811, 4950, 3817, 609, 2147, 1570, 281, 0, 763, 4971, 1899, 568, 1141, 596, 786, 1294, 5528, 543, 3681, 950, 1210, 12981, 269, 1280, 1383, 267, 593, 519, 5851, 26781, 267, 538, 519, 8571, 8470, 267, 4945, 519, 7412, 1907, 269, 2201, 519, 4971, 1899, 267, 519, 1982, 12987, 596, 547, 14574, 519, 1101, 1448, 540, 519, 1899, 563, 8489, 568, 29772, 4971, 1899, 888, 4002, 519, 26781, 267, 4945, 7348, 9184, 3436, 6022, 22863, 8470, 3436, 16710, 7412, 4855, 269, 4964, 595, 27530, 266, 280, 269, 2311, 519, 16710, 5401, 267, 4283, 25265, 3198, 13036, 12114, 563, 1432, 568, 1899, 4971, 538, 29772, 609, 1383, 888, 763, 1899, 538, 29772, 568, 6537, 676, 28408, 519, 4358, 543, 10678, 1448, 998, 519, 23684, 269, 7046, 519, 29772, 3301, 269, 2560, 8564, 519, 7412, 12835, 689, 519, 26781, 8470, 610, 1826, 700, 610, 7412, 543, 2046, 9373, 593, 519, 4971, 1899, 563, 1692, 798, 594, 1930, 519, 4971, 1899, 538, 29772, 888, 2414, 4518, 2060, 14956, 2287, 16710, 8837, 454, 268, 8437, 7348, 9184, 6022, 22863, 8470, 16710, 7412, 269, 4855, 563, 268, 4964, 595, 27530, 266, 280, 563, 268, 2311, 519, 16710, 5401, 267, 4283, 25265, 3198, 13036, 12114, 610, 25265, 3198, 13036, 12114, 295, 22432, 563, 1692, 798, 596, 946, 12981, 538, 29772, 888, 11767, 513, 16710, 593, 519, 16710, 7412, 454, 1103, 519, 16710, 5401, 1257, 4216, 267, 1826, 519, 2407, 4971, 2012, 543, 2046, 9373, 610, 6611, 8663, 269, 1403, 13128, 4971, 12032, 568, 5828, 593, 267, 1376, 17511, 519, 4971, 269, 4964, 9373, 950, 519, 2953, 4971, 568, 12006, 538, 519, 4971, 1257, 1858, 563, 1432, 568, 4971, 1899, 3046, 888, 763, 8772, 1899, 538, 519, 6301, 13335, 20233, 719, 568, 519, 16710, 7412, 4446, 267, 3254, 2630, 269, 901, 1907, 8663, 666, 581, 6569, 689, 519, 4159, 676, 796, 3832, 9535, 519, 2638, 4216, 538, 7348, 15010, 307, 944, 321, 1513, 269, 634, 16181, 616, 13087, 952, 519, 3742, 10137, 630, 3966, 601, 264, 7028, 1394, 270, 3453, 270, 20931, 563, 1692, 798, 594, 19268, 513, 4971, 1899, 538, 29772, 888, 7197, 540, 519, 942, 621, 568, 607, 2241, 607, 7432, 519, 16710, 7412, 1394, 593, 269, 476, 272, 4700, 1403, 707, 4971, 1899, 568, 1055, 3180, 1524, 519, 968, 290, 27530, 892, 7735, 543, 1247, 1869, 532, 8066, 713, 1524, 2824, 519, 968, 280, 892, 1883, 593, 519, 6206, 4580, 713, 1058, 2490, 519, 16710, 7412, 1394, 593, 563, 1432, 568, 3017, 1063, 1899, 543, 4874, 1467, 4971, 888, 763, 1101, 267, 621, 779, 1271, 547, 4063, 519, 3017, 1063, 513, 1899, 610, 1899, 10126, 267, 543, 513, 4874, 1467, 269, 589, 1899, 568, 3274, 513, 5094, 1899, 610, 10126, 602, 568, 711, 8678, 547, 1776, 1899, 269, 2755, 513, 12443, 1467, 6920, 1079, 610, 811, 3515, 723, 1044, 8678, 563, 1432, 568, 519, 946, 540, 1899, 4971, 888, 763, 4971, 1899, 568, 513, 1257, 8818, 585, 707, 2780, 269, 898, 779, 513, 1982, 602, 3217, 538, 12981, 267, 799, 621, 10596, 593, 547, 519, 2780, 779, 5665, 1062, 547, 2196, 269, 3245, 519, 4971, 1899, 267, 596, 666, 6330, 998, 6119, 543, 32766, 593, 707, 2780, 267, 1175, 607, 596, 1131, 609, 8837, 25817, 593, 8837, 610, 4855, 518, 593, 5839, 13013, 563, 1692, 798, 594, 1397, 519, 4305, 8663, 538, 29772, 888, 2414, 4159, 519, 10624, 267, 4945, 16797, 7457, 15484, 8663, 6749, 16365, 3436, 8058, 32386, 4446, 269, 1677, 4159, 513, 1907, 8663, 267, 4945, 13088, 10624, 3436, 15484, 321, 1513, 543, 2824, 519, 2838, 1907, 8663, 269, 0, 4517, 799, 5929, 2835, 616, 1932, 22457, 267, 1932, 3023, 626, 267, 610, 1932, 11397, 547, 1921, 609, 3214, 2221, 269, 25004, 17603, 786, 2972, 9992, 1734, 554, 617, 326, 5459, 6633, 11089, 5929, 1126, 27231, 3209, 519, 5728, 4677, 269, 6744, 856, 938, 5172, 2835, 585, 1101, 17603, 602, 616, 5227, 676, 938, 8470, 540, 1126, 27231, 1433, 4966, 547, 6678, 337, 718, 267, 4001, 267, 543, 8300, 707, 1126, 269, 6787, 621, 568, 513, 1224, 531, 3716, 267, 3209, 1353, 267, 610, 4830, 2542, 267, 621, 666, 581, 4101, 547, 1265, 2298, 9089, 609, 2502, 1650, 6050, 602, 1489, 2620, 6643, 543, 2565, 3206, 827, 519, 1257, 269, 9198, 725, 1762, 543, 2025, 2648, 713, 1433, 602, 20502, 519, 3020, 2495, 540, 519, 2262, 1920, 269, 1358, 616, 4712, 585, 811, 1950, 2984, 982, 666, 581, 2854, 585, 19444, 3988, 865, 519, 1655, 1259, 547, 1205, 476, 272, 560, 17603, 547, 1224, 811, 1950, 2984, 609, 3638, 6863, 568, 547, 1224, 16965, 513, 3099, 540, 1390, 269, 594, 993, 4278, 2683, 547, 2671, 609, 596, 267, 713, 4015, 540, 519, 1655, 3184, 2835, 585, 6690, 267, 16432, 543, 2854, 585, 721, 676, 835, 269, 898, 568, 1317, 540, 891, 543, 519, 9059, 3529, 5264, 3126, 602, 1250, 5067, 1631, 6811, 547, 2648, 3184, 2835, 269, 1358, 616, 2523, 3617, 585, 476, 274, 6113, 547, 476, 276, 628, 3446, 1053, 945, 2648, 513, 1434, 7045, 1650, 269, 6423, 811, 2093, 827, 2835, 267, 3184, 2835, 543, 3214, 2542, 269, 3848, 2835, 1775, 1224, 547, 1101, 17603, 1775, 1376, 609, 4443, 2835, 693, 519, 4098, 540, 519, 1032, 543, 1287, 607, 741, 8223, 9428, 649, 666, 1224, 2835, 609, 811, 7294, 13602, 563, 4322, 616, 1390, 1224, 531, 3716, 2835, 585, 7820, 1453, 543, 1390, 4830, 2542, 585, 5580, 10026, 269, 3371, 616, 811, 982, 476, 1839, 1390, 3184, 1433, 3126, 1433, 7840, 707, 476, 272, 560, 3446, 267, 476, 273, 526, 3446, 267, 543, 476, 274, 6113, 3446, 2875, 786, 2648, 547, 1224, 2933, 610, 723, 1224, 16965, 547, 873, 269, 3371, 267, 649, 1592, 930, 540, 519, 1655, 3184, 2835, 585, 513, 3791, 1178, 1457, 269, 7454, 1101, 3446, 2835, 585, 519, 4928, 649, 732, 974, 18291, 269, 7734, 585, 476, 272, 560, 3446, 713, 1592, 540, 6700, 2542, 2835, 814, 1044, 26940, 543, 16432, 676, 3610, 267, 1753, 7855, 543, 7172, 12579, 585, 10026, 1153, 1053, 9907, 476, 6858, 269, 4495, 707, 1453, 3605, 519, 2648, 540, 2542, 789, 786, 991, 547, 1224, 6266, 540, 2835, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 327, 9231, 264, 519, 29060, 32024, 883, 835, 1439, 7997, 593, 2901, 2427, 540, 519, 5480, 543, 7996, 585, 741, 7649, 547, 2132, 621, 1394, 936, 8518, 630, 1478, 519, 13105, 264, 865, 789, 666, 3801, 547, 6060, 2798, 676, 20414, 610, 1159, 22326, 621, 1996, 741, 24646, 564, 5569, 1247, 21108, 2933, 689, 1373, 5734, 609, 513, 13059, 29060, 32024, 1107, 1294, 12222, 2630, 281, 1703, 616, 1114, 2081, 547, 1832, 3950, 540, 945, 779, 10888, 1282, 513, 3014, 1519, 10203, 875, 1082, 3756, 1142, 6345, 814, 4465, 607, 1134, 607, 875, 1082, 2798, 1142, 1268, 814, 20639, 563, 1432, 568, 519, 946, 540, 3983, 332, 15586, 30933, 538, 3983, 332, 15586, 888, 289, 611, 332, 15586, 30933, 568, 1031, 585, 513, 3099, 540, 4128, 267, 971, 607, 7939, 543, 4313, 269, 1744, 2176, 610, 1236, 16630, 616, 5227, 609, 1769, 10991, 5026, 570, 6879, 16630, 547, 2057, 9993, 538, 3350, 543, 17570, 344, 2175, 563, 22879, 13475, 3726, 27890, 610, 1279, 1606, 23932, 1386, 570, 6879, 16630, 607, 789, 666, 6615, 3350, 267, 1818, 621, 2352, 547, 1404, 707, 1655, 3014, 269, 898, 779, 1271, 547, 723, 2298, 31321, 950, 4730, 3983, 332, 15586, 282, 2348, 10887, 602, 3514, 20354, 786, 2285, 596, 519, 6316, 593, 519, 5480, 563, 29490, 1118, 2386, 596, 2461, 1739, 782, 519, 6042, 1305, 856, 676, 12044, 4703, 1107, 713, 1259, 596, 3580, 581, 2111, 547, 1404, 693, 707, 1655, 1377, 1510, 1022, 2042, 563, 1432, 568, 513, 3983, 332, 15586, 24646, 564, 1572, 888, 763, 3983, 332, 15586, 24646, 564, 568, 1500, 909, 540, 513, 7406, 267, 12673, 267, 543, 29060, 32024, 269, 1703, 616, 1082, 1114, 2010, 540, 14604, 2139, 593, 519, 2344, 267, 865, 621, 568, 1271, 547, 1265, 835, 602, 13352, 707, 4730, 2511, 543, 7375, 563, 17843, 12478, 723, 1114, 4408, 585, 741, 14604, 1700, 1721, 1383, 267, 513, 14355, 24646, 564, 1522, 581, 1572, 513, 968, 12741, 7406, 1848, 21642, 2029, 814, 849, 27636, 936, 942, 282, 607, 971, 267, 972, 616, 1631, 1164, 26024, 10991, 12673, 2139, 593, 519, 2344, 602, 5716, 666, 946, 538, 741, 24646, 1115, 563, 7661, 267, 519, 29060, 32024, 568, 1634, 676, 1585, 4408, 1519, 6177, 773, 610, 4212, 4470, 593, 922, 3337, 543, 2450, 563, 1432, 616, 3983, 332, 15586, 11084, 1572, 888, 763, 29060, 32024, 568, 1572, 513, 968, 12704, 892, 610, 968, 12704, 773, 892, 1813, 547, 922, 1507, 2450, 543, 11696, 28917, 547, 513, 6177, 538, 8184, 269, 898, 814, 1044, 1031, 676, 3425, 585, 5553, 267, 609, 2413, 1404, 7254, 794, 539, 676, 519, 14068, 332, 15586, 2622, 18966, 563, 306, 24678, 9505, 14782, 616, 849, 4847, 538, 6735, 267, 3246, 5716, 609, 811, 3681, 950, 4730, 3983, 332, 15586, 269, 7756, 7252, 666, 581, 1031, 593, 799, 547, 5734, 519, 29060, 32024, 1107, 2182, 10470, 267, 6371, 10470, 267, 543, 1256, 11255, 5749, 553, 1683, 8795, 29863, 2833, 585, 4715, 2209, 543, 15712, 7567, 563, 15371, 596, 2461, 1007, 547, 519, 7328, 610, 606, 4810, 6345, 267, 972, 779, 1945, 1187, 547, 1995, 693, 1169, 1377, 540, 1404, 563, 1432, 616, 3983, 332, 15586, 10887, 888, 289, 611, 332, 15586, 10887, 616, 4481, 2966, 585, 3723, 1740, 543, 3350, 538, 3983, 332, 15586, 267, 1818, 873, 3501, 585, 4730, 519, 7328, 269, 634, 4550, 1606, 28309, 12285, 1151, 525, 1118, 621, 2653, 547, 3251, 593, 707, 3952, 1282, 13292, 267, 1247, 519, 6043, 540, 519, 4571, 20584, 851, 5849, 596, 1810, 1406, 1205, 13676, 3362, 563, 16521, 3983, 332, 15586, 10887, 602, 3514, 1134, 543, 1683, 1434, 8710, 10338, 865, 596, 666, 1404, 693, 707, 1655, 1510, 20468, 827, 5945, 610, 9636, 269, 19255, 1472, 547, 1265, 513, 6292, 540, 3983, 332, 15586, 10887, 602, 786, 2743, 707, 2115, 543, 2511, 7375, 267, 543, 2972, 3108, 540, 1187, 609, 2828, 269, 2142, 2386, 547, 1832, 606, 3750, 856, 585, 938, 5767, 2855, 11040, 538, 3983, 332, 15586, 10887, 1107, 649, 723, 1945, 585, 3025, 563, 1432, 616, 519, 476, 273, 2010, 540, 29060, 32024, 888, 8722, 1430, 1744, 583, 1479, 322, 4169, 616, 519, 2757, 1826, 540, 29060, 32024, 267, 1500, 689, 17207, 269, 21311, 13478, 24678, 1744, 583, 1479, 322, 4169, 616, 1500, 689, 513, 10991, 1570, 543, 723, 513, 9875, 2627, 982, 13692, 29060, 322, 4169, 563, 20812, 8455, 1744, 583, 1479, 322, 4169, 9192, 2609, 540, 1312, 13692, 543, 5068, 270, 1910, 660, 4854, 29060, 32024, 547, 1711, 513, 2189, 3014, 1995, 585, 5716, 269, 14068, 332, 15586, 568, 5129, 609, 476, 274, 2010, 540, 29060, 32024, 281, 3171, 1430, 267, 5068, 270, 1910, 660, 4854, 267, 543, 10316, 9505, 14782, 27462, 454, 1432, 616, 519, 476, 277, 2694, 540, 513, 3983, 332, 15586, 24646, 564, 888, 763, 2694, 540, 513, 3983, 332, 15586, 24646, 564, 666, 4268, 4470, 593, 519, 6216, 543, 2203, 267, 855, 789, 3622, 1331, 519, 6023, 267, 14788, 267, 11563, 267, 12673, 267, 543, 2212, 269, 14068, 332, 15586, 24646, 1115, 616, 1419, 1500, 689, 24489, 610, 27948, 2326, 585, 4222, 543, 15006, 563, 306, 24678, 12673, 1683, 1732, 3280, 2298, 538, 6476, 547, 2067, 11103, 1247, 849, 3246, 811, 1852, 1282, 29863, 269, 3509, 1114, 14604, 616, 2139, 547, 3514, 1022, 6345, 779, 1808, 2115, 282, 2705, 267, 1034, 4043, 547, 946, 513, 24489, 7406, 609, 5374, 12673, 585, 6617, 543, 1379, 950, 18644, 519, 3440, 2182, 563, 29490, 581, 2386, 547, 1224, 519, 10672, 779, 5528, 1354, 1210, 707, 1007, 3983, 332, 15586, 24646, 564, 563, 21761, 18542, 5999, 454, 1432, 616, 519, 476, 276, 15833, 538, 3983, 332, 15586, 888, 2467, 616, 2947, 1114, 2010, 540, 3983, 332, 15586, 15833, 610, 18116, 281, 4419, 525, 267, 1579, 1513, 267, 1159, 10449, 267, 11479, 543, 12772, 269, 3962, 540, 519, 2947, 1114, 15833, 568, 1031, 538, 1114, 3871, 2429, 519, 3014, 563, 3963, 568, 621, 1572, 3983, 332, 15586, 888, 763, 3014, 540, 3983, 332, 15586, 568, 5156, 547, 723, 12090, 538, 5607, 543, 2342, 269, 634, 2012, 2501, 689, 513, 1533, 569, 1753, 538, 3794, 537, 806, 1562, 10921, 267, 4789, 1107, 1753, 540, 519, 16099, 540, 2142, 879, 3228, 563, 8005, 11827, 3983, 332, 15586, 888, 289, 611, 332, 15586, 729, 11827, 676, 519, 5918, 651, 540, 2142, 879, 3228, 538, 476, 6942, 274, 563, 7617, 13692, 568, 1031, 538, 519, 29060, 32024, 888, 763, 3983, 332, 15586, 29060, 32024, 3568, 476, 1626, 979, 846, 17207, 563, 4692, 594, 5957, 3339, 10887, 585, 3983, 332, 15586, 888, 8133, 267, 596, 666, 5957, 17281, 10887, 585, 3983, 332, 15586, 269, 3807, 1118, 2386, 789, 616, 4481, 2966, 585, 519, 7328, 543, 711, 2489, 26928, 30157, 563, 8489, 729, 3983, 332, 15586, 1101, 3323, 888, 8489, 729, 3983, 332, 15586, 1101, 3323, 888, 289, 611, 332, 15586, 8322, 638, 1115, 616, 1500, 689, 1114, 2326, 267, 1519, 3327, 6775, 543, 11956, 269, 7756, 2010, 540, 12673, 616, 849, 1031, 538, 3983, 332, 15586, 267, 1519, 3223, 341, 24882, 543, 562, 14125, 269, 0, 1432, 568, 3408, 17656, 267, 543, 1946, 616, 891, 2409, 865, 1271, 547, 519, 5599, 267, 3282, 543, 3154, 6080, 888, 1607, 1826, 540, 17656, 568, 9247, 513, 1797, 540, 6602, 269, 7981, 1235, 16590, 1524, 883, 519, 3618, 543, 5531, 1239, 593, 1018, 568, 1524, 972, 269, 1280, 1383, 267, 789, 949, 16785, 606, 7626, 16005, 543, 1349, 513, 3732, 865, 602, 922, 1543, 666, 581, 21845, 269, 17968, 267, 789, 1522, 946, 17656, 547, 2263, 543, 2708, 513, 2943, 2150, 11474, 3135, 547, 1451, 811, 827, 519, 1761, 1871, 540, 513, 3677, 17656, 610, 5599, 5106, 563, 17843, 2409, 543, 2010, 540, 3408, 17656, 666, 581, 18611, 1934, 269, 30581, 949, 9772, 513, 4295, 17656, 267, 27414, 17656, 267, 610, 25576, 1380, 633, 17656, 1935, 543, 786, 4188, 519, 6724, 540, 519, 5106, 2687, 547, 17656, 3178, 267, 17027, 4259, 267, 543, 1788, 10391, 6859, 563, 5472, 540, 713, 3947, 721, 513, 13561, 7650, 540, 1018, 3408, 17656, 1797, 538, 606, 4853, 4259, 269, 2913, 779, 4685, 513, 2370, 4514, 543, 3605, 811, 563, 1432, 1772, 16709, 3220, 3739, 888, 7336, 2610, 17656, 6887, 968, 30161, 648, 892, 543, 3605, 1344, 827, 513, 3135, 676, 17656, 1524, 883, 621, 543, 12570, 519, 5888, 543, 1533, 540, 1018, 789, 1265, 269, 13689, 593, 519, 2409, 1031, 267, 3408, 17656, 949, 15378, 875, 3015, 7777, 12074, 616, 543, 949, 581, 2111, 547, 2285, 6887, 3407, 1239, 593, 3289, 25233, 543, 17027, 2175, 9944, 519, 3618, 563, 20524, 532, 1715, 25115, 543, 31527, 21666, 3493, 657, 1080, 454, 5938, 4461, 949, 946, 27414, 610, 25576, 1380, 633, 17656, 547, 3914, 12074, 602, 723, 1044, 4857, 1210, 16953, 2029, 269, 589, 4295, 17656, 1788, 666, 1287, 3142, 2326, 1394, 547, 519, 2627, 267, 1141, 789, 666, 581, 21845, 563, 10112, 31757, 13505, 966, 6636, 454, 763, 17656, 949, 2697, 15641, 9323, 610, 9465, 1063, 519, 2627, 543, 519, 2326, 9944, 269, 1358, 949, 849, 9414, 519, 6708, 540, 513, 16005, 543, 519, 2298, 540, 519, 6886, 8659, 1369, 269, 2353, 540, 713, 1239, 28279, 2436, 610, 711, 513, 3135, 568, 14323, 543, 875, 513, 3677, 8397, 17656, 1788, 666, 581, 21892, 563, 15650, 540, 16709, 3220, 3739, 454, 2467, 616, 1896, 1114, 2010, 540, 3408, 17656, 267, 3351, 2358, 1114, 2409, 547, 3035, 1808, 6663, 563, 290, 648, 17656, 3096, 513, 9764, 16590, 3787, 7768, 540, 606, 16600, 3620, 731, 1570, 899, 4853, 14776, 269, 1703, 568, 606, 1930, 2230, 1369, 519, 16590, 3787, 267, 865, 519, 3787, 11912, 1472, 513, 4295, 540, 1570, 602, 666, 581, 13939, 543, 4547, 547, 519, 2627, 585, 2079, 269, 901, 1826, 540, 3408, 17656, 568, 1031, 2899, 519, 16590, 814, 6603, 519, 16005, 610, 1570, 602, 2115, 547, 581, 12290, 563, 305, 582, 776, 17656, 3351, 2478, 513, 15914, 16590, 3787, 267, 799, 12346, 593, 18165, 1107, 610, 7432, 3196, 1107, 547, 2759, 998, 519, 1570, 269, 634, 16590, 3787, 949, 4183, 513, 927, 673, 22285, 532, 267, 799, 11912, 883, 519, 1570, 538, 513, 18700, 543, 24864, 519, 3787, 4464, 269, 901, 1826, 540, 3408, 17656, 12191, 568, 1031, 547, 16590, 998, 29779, 2326, 267, 1141, 25576, 1380, 633, 3196, 568, 711, 2877, 269, 4495, 519, 16005, 568, 6603, 267, 519, 2319, 949, 6467, 547, 4295, 17656, 585, 2079, 563, 303, 2075, 1380, 633, 17656, 3096, 513, 27414, 7271, 267, 855, 713, 568, 20483, 909, 609, 513, 14694, 3350, 689, 3297, 519, 16590, 3787, 269, 1924, 267, 519, 16590, 3787, 786, 2759, 998, 519, 1570, 609, 18165, 610, 7432, 3196, 855, 786, 849, 1847, 4464, 543, 18807, 538, 513, 25576, 1380, 633, 3350, 267, 9247, 968, 5069, 1067, 532, 892, 519, 1570, 269, 901, 1826, 540, 3408, 17656, 568, 3335, 1031, 585, 6117, 998, 27162, 615, 2326, 547, 3914, 12074, 4712, 585, 6514, 563, 7336, 2610, 3220, 3739, 10613, 3657, 11879, 547, 519, 7073, 11633, 23721, 454, 7336, 2610, 17656, 3947, 3282, 267, 3154, 543, 5599, 6887, 519, 5813, 789, 991, 883, 1018, 568, 2469, 593, 2630, 519, 2666, 269, 1452, 2409, 948, 6887, 547, 1265, 543, 2708, 519, 5888, 540, 7777, 543, 7626, 12074, 543, 519, 23812, 540, 513, 3677, 8397, 17656, 1788, 269, 1635, 3351, 2358, 27414, 543, 25576, 1380, 633, 17656, 267, 6887, 666, 5397, 998, 513, 2039, 540, 2326, 547, 3914, 519, 12074, 789, 991, 547, 1265, 543, 1287, 6467, 547, 513, 4295, 17656, 12191, 547, 1349, 5439, 4712, 585, 2079, 269, 3683, 942, 267, 891, 2409, 616, 9687, 547, 1732, 2743, 519, 4170, 540, 513, 4657, 4541, 543, 922, 17069, 864, 563, 2080, 693, 30059, 3220, 3739, 267, 649, 723, 1279, 29280, 6791, 538, 3408, 17656, 543, 824, 2147, 3282, 267, 3154, 543, 5599, 2533, 269, 3502, 1152, 713, 267, 855, 649, 2226, 513, 25411, 4875, 7029, 547, 6940, 267, 12419, 593, 3785, 602, 1489, 938, 4541, 543, 938, 1604, 267, 607, 1134, 607, 1480, 1648, 543, 4199, 2115, 563, 9596, 811, 827, 3408, 17656, 2533, 689, 30059, 3220, 3739, 269, 5192, 538, 5905, 609, 938, 2319, 2221, 269, 0, 27736, 11256, 5428, 454, 22826, 1453, 547, 27106, 568, 711, 1152, 513, 1187, 2534, 267, 621, 666, 723, 3875, 2640, 602, 3565, 547, 741, 2949, 1646, 1932, 563, 4263, 18740, 10783, 344, 3214, 11256, 6105, 649, 1445, 593, 519, 1187, 2427, 267, 3478, 30255, 543, 2870, 1945, 17705, 689, 2241, 5820, 267, 855, 538, 519, 4058, 649, 4076, 849 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15540, 16711, 5516, 12697, 23369, 543, 3955, 6761, 454, 10907, 1393, 20840, 776, 15540, 12135, 4041, 311, 5623, 543, 16711, 5516, 12697, 454, 10907, 1393, 18337, 6794, 630, 3722, 306, 264, 568, 513, 5732, 1272, 18446, 2783, 602, 4386, 950, 513, 31797, 3123, 519, 1973, 2095, 547, 519, 2295, 547, 10393, 3500, 1524, 610, 3247, 269, 634, 4389, 1973, 2095, 1281, 711, 1267, 538, 1591, 2669, 855, 786, 2693, 2333, 519, 1981, 540, 513, 2295, 4323, 563, 3722, 306, 568, 513, 2564, 6595, 602, 3340, 5401, 6284, 543, 6304, 547, 2569, 2417, 3441, 543, 9019, 269, 20840, 776, 16050, 2068, 568, 519, 1034, 1455, 2295, 2068, 1851, 519, 10172, 2551, 543, 519, 3056, 2014, 540, 2669, 538, 519, 772, 2529, 563, 29819, 543, 12580, 540, 26590, 20840, 776, 15540, 454, 29819, 543, 2589, 540, 589, 5425, 3335, 1459, 23589, 569, 267, 543, 891, 949, 1331, 912, 268, 30446, 1928, 610, 9395, 1145, 1107, 4330, 607, 8781, 610, 11493, 1928, 1256, 1247, 693, 1964, 563, 268, 7101, 11868, 1928, 689, 519, 9221, 547, 519, 13105, 267, 7916, 267, 8405, 267, 1394, 267, 610, 10265, 563, 268, 28214, 540, 30724, 3878, 267, 15353, 267, 610, 13481, 563, 268, 10374, 1145, 540, 7362, 543, 27621, 14591, 563, 268, 667, 20063, 267, 1769, 20243, 1145, 267, 610, 8519, 1377, 540, 9637, 563, 268, 28246, 24852, 610, 1019, 7469, 2803, 529, 563, 268, 15310, 8982, 610, 1964, 16531, 563, 763, 4191, 543, 2589, 540, 589, 5425, 4268, 3648, 4470, 593, 519, 4087, 543, 10335, 540, 519, 31797, 269, 2368, 2550, 971, 607, 1346, 609, 3987, 267, 4587, 610, 2021, 949, 711, 723, 9221, 1928, 563, 15650, 540, 26590, 20840, 776, 15540, 454, 268, 1133, 560, 762, 2587, 2088, 269, 901, 568, 513, 6727, 9636, 610, 9221, 9395, 1145, 602, 1419, 3085, 1406, 723, 513, 4806, 543, 2356, 4991, 8338, 269, 898, 2356, 4523, 1282, 7646, 2168, 2534, 855, 666, 849, 4755, 1256, 693, 1964, 610, 12008, 269, 898, 568, 3361, 676, 513, 8052, 610, 15799, 538, 519, 18337, 16050, 13296, 519, 2295, 6091, 666, 1406, 723, 2614, 5135, 799, 666, 2014, 513, 2295, 4323, 952, 2451, 15860, 563, 268, 6348, 4149, 307, 3887, 4582, 566, 26961, 658, 1102, 541, 794, 269, 901, 3322, 9864, 31797, 540, 519, 18337, 16050, 1141, 519, 2799, 5135, 3747, 3112, 581, 1558, 4929, 1250, 22889, 27394, 15727, 269, 898, 666, 2014, 2604, 6438, 2655, 1716, 531, 1928, 10237, 908, 547, 519, 8405, 267, 10265, 267, 610, 7916, 602, 4386, 609, 8766, 11851, 542, 610, 1256, 693, 1964, 269, 901, 666, 581, 9571, 676, 513, 1973, 1449, 855, 711, 609, 606, 6850, 15258, 328, 6945, 630, 292, 298, 294, 1916, 268, 5254, 3887, 4582, 566, 26961, 658, 1102, 541, 794, 269, 901, 568, 519, 1034, 3978, 1826, 540, 589, 5425, 609, 519, 6574, 1981, 540, 3978, 8374, 543, 9019, 269, 898, 568, 513, 2347, 24405, 5328, 29473, 2424, 540, 513, 2101, 18337, 16050, 4611, 538, 26961, 658, 5945, 610, 27394, 15727, 269, 898, 666, 581, 4330, 607, 17065, 4506, 1928, 693, 519, 4099, 540, 519, 9221, 543, 666, 581, 9571, 676, 1973, 1449, 543, 6850, 15258, 328, 6945, 630, 292, 298, 294, 1916, 27246, 540, 26590, 20840, 776, 15540, 454, 2467, 616, 1896, 3123, 540, 589, 5425, 609, 1114, 10335, 267, 971, 607, 519, 1739, 912, 268, 28206, 1078, 5135, 3761, 269, 901, 666, 2014, 26961, 658, 1591, 27394, 15727, 269, 901, 949, 5555, 1291, 547, 2295, 4887, 5160, 3441, 4929, 18633, 2587, 2088, 563, 268, 16183, 29912, 269, 901, 568, 519, 1034, 1455, 2014, 799, 2356, 5956, 607, 15799, 5250, 4929, 6553, 540, 519, 6418, 4494, 540, 519, 1973, 8043, 269, 23120, 15799, 13976, 909, 543, 24569, 606, 5945, 666, 2014, 519, 1973, 6077, 547, 7522, 799, 5555, 7182, 1973, 2095, 269, 22859, 20567, 540, 606, 19473, 4592, 13406, 5328, 15799, 3123, 24405, 639, 5250, 538, 519, 18337, 16050, 799, 12153, 513, 2295, 4323, 563, 268, 4033, 3123, 269, 27824, 3123, 540, 589, 5425, 616, 18337, 16050, 2377, 565, 1143, 267, 18337, 16050, 838, 11047, 267, 543, 21245, 18337, 16050, 771, 7611, 630, 17092, 4696, 1916, 32391, 11790, 547, 26590, 20840, 776, 15540, 454, 17843, 1981, 2188, 666, 19753, 2821, 513, 3461, 547, 8650, 18337, 6794, 630, 3722, 306, 1916, 268, 6348, 21524, 16666, 11485, 11790, 547, 589, 5425, 454, 268, 22503, 4008, 454, 268, 28544, 4679, 1981, 3648, 454, 268, 12259, 658, 1686, 540, 2295, 2068, 267, 9221, 1928, 267, 610, 8482, 454, 268, 3525, 16666, 11485, 11790, 547, 589, 5425, 454, 28536, 2670, 540, 26590, 20840, 776, 15540, 454, 268, 10552, 1449, 269, 29175, 566, 540, 1978, 13487, 11476, 666, 3713, 1591, 2669, 689, 8697, 26961, 658, 5160, 269, 901, 568, 519, 3355, 10368, 1449, 1031, 2059, 609, 519, 4191, 543, 2589, 547, 1118, 513, 3119, 5868, 540, 8650, 18337, 2068, 563, 268, 5082, 10635, 31651, 6945, 630, 4488, 294, 1040, 901, 5650, 786, 3313, 519, 5122, 25372, 540, 519, 2295, 269, 7054, 10585, 543, 9402, 25372, 2303, 513, 26961, 658, 1966, 543, 930, 3270, 949, 1397, 519, 4087, 540, 519, 1966, 269, 5254, 3887, 4582, 566, 543, 513, 1007, 2451, 22753, 7936, 3625, 786, 6166, 8650, 18337, 6794, 269, 589, 476, 1321, 6122, 611, 10566, 294, 949, 849, 581, 1031, 547, 15260, 612, 1022, 2242, 538, 2295, 11733, 563, 268, 8950, 1242, 29821, 630, 6311, 264, 2587, 328, 6945, 269, 901, 5650, 3096, 7463, 1535, 11920, 2029, 6029, 2789, 2592, 540, 519, 2295, 543, 2488, 513, 2143, 2070, 540, 17808, 610, 7522, 539, 18337, 16209, 563, 268, 661, 577, 18201, 328, 6945, 269, 898, 568, 513, 1826, 540, 16953, 11571, 602, 3096, 3280, 6329, 547, 7291, 519, 13487, 6091, 267, 1130, 341, 983, 3350, 267, 543, 2497, 269, 1323, 20192, 18201, 328, 6945, 666, 7866, 17244, 538, 519, 6821, 540, 519, 2295, 1373, 13859, 676, 519, 17808, 16209, 563, 268, 3733, 18201, 658, 13526, 4288, 9196, 610, 6046, 2566, 1449, 269, 901, 1449, 3096, 513, 14599, 6219, 22280, 883, 519, 1973, 6077, 547, 2708, 13487, 1973, 2095, 1210, 9196, 269, 901, 1449, 666, 581, 1031, 538, 14966, 609, 519, 13487, 2566, 1449, 547, 2708, 26961, 658, 5163, 17244, 538, 3210, 547, 2566, 543, 1964, 563, 268, 20840, 776, 2587, 328, 6945, 269, 901, 568, 606, 12362, 5650, 602, 3096, 2027, 4334, 543, 1535, 11920, 9196, 1210, 513, 29259, 17332, 883, 519, 9240, 514, 610, 6186, 547, 1397, 519, 3169, 4087, 540, 7522, 539, 610, 17808, 1973, 8043, 269, 11408, 2638, 585, 15333, 785, 10716, 971, 607, 14711, 547, 519, 4334, 1354, 23312, 609, 519, 5650, 563, 268, 13262, 1449, 610, 6646, 2566, 1449, 269, 901, 1449, 666, 1152, 581, 2944, 952, 972, 616, 1100, 4191, 540, 513, 1272, 18446, 2295, 2783, 269, 1323, 6850, 15258, 328, 6945, 630, 292, 298, 294, 1070, 20192, 18201, 328, 6945, 267, 610, 26961, 658, 13526, 4288, 9196, 786, 581, 1031, 8195, 547, 6895, 519, 2295, 1247, 519, 1449, 568, 5571, 269, 634, 3461, 786, 581, 4280, 547, 3802, 593, 513, 25500, 17524, 610, 11878, 513, 19335, 11332, 1247, 1373, 16913, 676, 606, 661, 298, 294, 547, 3313, 519, 2295, 779, 2702, 547, 4431, 547, 2566, 563, 21675, 585, 26590, 20840, 776, 15540, 454, 763, 9354, 2359, 585, 589, 5425, 9775, 4470, 593, 519, 10335, 540, 26961, 658, 3441, 543, 2404, 4191, 543, 2589, 269, 1452, 949, 1331, 912, 268, 10266, 2359, 543, 6646, 269, 32653, 2126, 540, 1928, 666, 849, 5351, 538, 519, 3461, 779, 4160, 267, 13302, 2417, 3441, 269, 5709, 725, 602, 666, 581, 1031, 616, 912, 268, 21193, 5766, 22318, 514, 269, 11370, 764, 531, 610, 1016, 1782, 783, 6491, 5766, 22318, 514, 2488, 7525, 8323, 676, 5009, 519, 546, 7976, 540, 1973, 8043, 5355, 1973, 2095, 547, 519, 18337, 16209, 269, 11408, 2638, 519, 1973, 2604, 1354, 4758, 713, 6646, 607, 713, 666, 2014, 8280, 17871, 21324, 538, 2550, 609, 2999, 3445, 7825, 32074, 30918, 4301, 1973, 2604, 563, 268, 4165, 4815, 698, 592, 1218, 610, 1973, 6094, 2996, 269, 1452, 6527, 2061, 8052, 5250, 4227, 519, 1981, 540, 2417, 26961, 658, 3441, 269, 901, 568, 4122, 1031, 538, 14966, 609, 4550, 30066, 2280, 3797, 799, 814, 8810, 547, 2569, 20443, 8052, 5250, 563, 268, 774, 668, 2513, 344, 9455, 610, 27417, 514, 8432, 9455, 269, 1452, 616, 5097, 1031, 585, 519, 1101, 476, 1321, 3108, 540, 513, 2295, 4323, 547, 2736, 1524, 610, 23271, 28163, 602, 3625, 519, 18337, 16050, 547, 11177, 1973, 2095, 269, 1452, 5061, 616, 4122, 1031, 538, 2550, 609, 5254, 3887, 4582, 566, 950, 12905, 2587, 328, 6955, 7360, 543, 588, 550, 532, 616, 28998, 563, 268, 14640, 30066, 2280, 5061, 269, 1452, 616, 1031, 547, 2061, 1973, 28163, 689, 8108, 1310, 606, 19473, 4592, 13406, 5328, 15799, 28230, 269, 1452, 5061, 666, 581, 1031, 607, 12242, 3797, 585, 1312, 519, 1875, 4149, 307, 10126, 543, 5254, 5498, 8540, 15038, 589, 5425, 563, 268, 29530, 1532, 6674, 619, 269, 1452, 6175, 519, 24913, 540, 519, 2295, 676, 23646, 519, 2295, 2557, 543, 9013, 1973, 2604, 269, 901, 3075, 1058, 711, 581, 2016, 547, 2550, 609, 5492, 3290, 267, 536, 2784, 344, 15258, 807, 267, 543, 2295, 5821, 563, 268, 4911, 3999, 839, 514, 8410, 31844, 11747, 630, 19781, 264, 20127, 269, 1452, 5061, 3895, 1973, 6077, 546, 7976, 7551, 5355, 1973, 2095, 543, 16715, 1973, 2604, 269, 1358, 1058, 581, 2016, 1369, 476, 2190, 3108, 540, 23235, 589, 5425, 547, 2569, 8374, 543, 2295, 5821, 563, 268, 6465, 1231, 269, 1452, 5061, 2539, 1973, 8501, 1377, 7303, 15799, 1628, 5346, 269, 901, 568, 849, 2016, 607, 1753, 6646, 1310, 606, 589, 5425, 607, 6281, 6604, 563, 268, 10266, 17212, 951, 269, 9540, 13066, 540, 1928, 17212, 951, 949, 581, 2016, 538, 14966, 609, 824, 6527, 1657, 547, 1683, 7525, 8323, 563, 268, 26929, 531, 5135, 269, 901, 1590, 581, 2016, 952, 519, 3461, 6799, 4191, 540, 3834, 2135, 807, 610, 2295, 5821, 563, 268, 13880, 673, 6304, 269, 26198, 540, 1973, 2095, 547, 519, 2295, 568, 519, 1292, 3804, 540, 3461, 1416, 547, 2061, 2417, 3441, 543, 2057, 1776, 4323, 563, 268, 4911, 328, 6955, 7360, 543, 588, 550, 532, 269, 589, 29259, 786, 581, 17332, 883, 519, 7522, 539, 610, 17808, 851, 540, 519, 18337, 16050, 267, 519, 17891, 786, 581, 1102, 3836, 735, 7675, 519, 29693, 13196, 1996, 519, 27555, 3774, 267, 543, 513, 588, 550, 786, 581, 5116, 547, 1832, 519, 16050, 1930, 563, 268, 20840, 776, 16050, 21271, 6391, 610, 18337, 16050, 21271, 21910, 630, 290, 5723, 294, 1040, 589, 21910, 786, 581, 3144, 689, 1776, 851, 540, 519, 1560, 543, 786, 581, 4448, 547, 1711, 513, 1007, 2619, 1472, 519, 17808, 18337, 16050, 563, 7093, 3685, 540, 26590, 20840, 776, 15540, 454, 27650, 6604, 568, 519, 1883, 547, 7303, 519, 11944, 540, 589, 5425, 267, 1247, 6281, 6604, 5631, 6212, 593, 519, 6604, 540, 1776, 4323, 269, 12989, 616, 2081, 547, 2061, 606, 589, 5425, 912, 268, 14856, 513, 1134, 28394, 2331, 2732, 267, 9319, 1164, 8501, 543, 9268, 3536, 269, 634, 3461, 949, 581, 5219, 547, 513, 10805, 2732, 23790, 827, 1114, 2732, 3681, 1354, 2502, 563, 268, 25003, 29696, 543, 21084, 540, 2034, 8518, 8673, 269, 12832, 13534, 568, 513, 21729, 27019, 560, 2774, 528, 602, 3123, 519, 32560, 540, 519, 1973, 8043, 4611, 538, 2799, 2295, 2557, 543, 1973, 2604, 269, 634, 3461, 666, 581, 5219, 547, 7296, 29696, 3292, 543, 6527, 547, 948, 563, 268, 18130, 2358, 3232, 543, 2348, 606, 3742, 6197, 269, 11408, 2307, 519, 3461, 779, 3119, 1416, 8502, 827, 519, 2922, 5751, 547, 2253, 543, 7930, 2333, 519, 3461, 779, 2238, 1759, 593, 519, 3461, 779, 1560, 779, 3210, 563, 268, 24367, 513, 2635, 2597, 269, 853, 11691, 538, 3337, 666, 2087, 519, 2168, 2783, 543, 6175, 13487, 24913, 563, 268, 7799, 1746, 4568, 6981, 269, 30318, 4568, 6981, 568, 835, 4235, 829, 1554, 1152, 607, 621, 666, 2014, 606, 2333, 538, 1973, 2604, 563, 268, 26472, 513, 2566, 6954, 1604, 269, 1703, 616, 2635, 2081, 602, 513, 12016, 666, 4001, 519, 3461, 547, 4308, 609, 17173, 3871, 543, 2621, 269, 16723, 1489, 568, 849, 1271, 547, 948, 519, 3461, 11883, 609, 519, 1699, 2242, 538, 741, 1560, 563, 268, 11109, 13350, 11974, 909, 543, 1973, 4255, 547, 6895, 519, 3461, 779, 1072, 269, 11408, 1246, 519, 11311, 2126, 1544, 547, 2569, 519, 1981, 540, 1776, 4323, 269, 6875, 6527, 607, 11311, 547, 1852, 1973, 2604, 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 ]
[ 12270, 676, 1412, 321, 262, 547, 12446, 693, 519, 3312, 1871, 1412, 320, 8339, 9747, 267, 524, 1315, 536, 815, 513, 563, 274, 269, 5890, 7859, 5288, 8298, 15162, 916, 281, 9717, 513, 3490, 1412, 321, 262, 6659, 547, 606, 20800, 1412, 343, 262, 3160, 547, 930, 1871, 1412, 344, 3299, 2921, 519, 30233, 3490, 1412, 321, 262, 540, 1412, 344, 262, 11729, 519, 3312, 20800, 1412, 343, 8339, 2334, 568, 267, 2845, 18386, 321, 12169, 264, 815, 1535, 563, 275, 269, 12384, 24306, 5288, 8293, 2130, 281, 1879, 2695, 2130, 513, 2318, 1297, 1412, 320, 3299, 20922, 607, 513, 317, 273, 267, 13844, 519, 4009, 3597, 540, 519, 1267, 7024, 721, 547, 519, 3312, 1871, 1412, 320, 8339, 1284, 20301, 519, 9030, 4009, 3597, 540, 513, 1297, 607, 20734, 320, 269, 8074, 602, 1152, 1875, 17463, 2338, 4865, 1483, 4009, 5072, 780, 21104, 725, 540, 769, 2091, 15051, 538, 14572, 12307, 692, 3080, 1713, 3498, 540, 11201, 4238, 6013, 1369, 3830, 6061, 269, 1677, 9414, 267, 2015, 519, 1739, 2241, 5276, 3830, 1384, 343, 1341, 476, 276, 815, 476, 1015, 692, 2414, 20586, 1412, 343, 3299, 649, 1590, 3768, 334, 519, 1840, 540, 2947, 269, 1635, 7311, 519, 11201, 5106, 540, 12408, 267, 649, 10208, 2947, 689, 1312, 5011, 540, 519, 3830, 267, 3056, 547, 1384, 343, 1341, 476, 276, 910, 476, 276, 815, 476, 1015, 910, 476, 276, 454, 343, 815, 476, 276, 692, 20118, 267, 1577, 781, 4983, 513, 811, 6946, 13392, 3830, 899, 1384, 273, 343, 11054, 910, 476, 277, 343, 910, 476, 279, 815, 476, 271, 692, 2080, 267, 649, 991, 547, 9004, 519, 21029, 277, 343, 262, 2165, 269, 4595, 972, 3884, 1405, 606, 3169, 11201, 5106, 585, 18946, 3670, 2053, 1412, 343, 3299, 649, 6338, 513, 1007, 4756, 1572, 1412, 20123, 328, 2364, 894, 3961, 10086, 3335, 6719, 607, 476, 272, 269, 5564, 28745, 1412, 343, 262, 676, 476, 272, 1281, 711, 1689, 922, 1871, 282, 2705, 267, 14921, 910, 277, 343, 849, 676, 476, 272, 2636, 721, 547, 2226, 7862, 1247, 10962, 519, 11201, 5106, 11196, 277, 264, 3330, 519, 24324, 1384, 273, 343, 11054, 910, 476, 277, 343, 910, 476, 279, 815, 476, 271, 454, 273, 343, 11054, 910, 476, 277, 343, 815, 476, 279, 454, 273, 343, 11054, 910, 476, 277, 343, 1341, 476, 280, 815, 476, 279, 1341, 476, 280, 454, 263, 273, 343, 910, 476, 274, 264, 11054, 815, 476, 1704, 692, 3086, 649, 4294, 519, 11201, 5106, 540, 2695, 2130, 676, 7384, 519, 4009, 3597, 540, 1312, 5011, 1384, 273, 343, 910, 476, 274, 815, 13008, 18414, 1704, 692, 7661, 267, 1310, 4946, 1614, 547, 1312, 5011, 543, 12270, 998, 676, 1079, 267, 649, 3914, 938, 3070, 1305, 5627, 1079, 2009, 4267, 780, 6962, 692, 1607, 1576, 1770, 814, 1642, 1386, 2620, 883, 519, 1158, 540, 11201, 4238, 267, 3695, 741, 8847, 267, 28944, 267, 543, 4052, 3096, 269, 4197, 891, 4909, 3741, 6087, 22697, 543, 3744, 7567, 547, 10994, 5051, 1950, 2042, 5473, 15821, 7215, 543, 4834, 269, 2060, 4396, 17117, 540, 11201, 4238, 896, 707, 12966, 267, 596, 1796, 26405, 547, 4434, 2417, 2059, 707, 4081, 3460, 2509, 2362, 2157, 540, 6310, 15334, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 312, 1695, 5622, 8436, 1336, 938, 3896, 19108, 676, 10024, 891, 2979, 2474, 10778, 15542, 1681, 13392, 4834, 9498, 267, 700, 13967, 4542, 538, 13004, 267, 875, 547, 1265, 519, 1858, 538, 13004, 267, 1101, 1931, 5276, 11186, 2259, 563, 29002, 1950, 6824, 9498, 267, 3211, 4466, 519, 11667, 267, 533, 714, 9579, 2979, 267, 2490, 8918, 883, 6824, 9498, 267, 476, 279, 628, 3446, 24275, 3211, 267, 4946, 543, 18946, 9981, 1187, 4976, 267, 4946, 543, 18946, 8870, 8454, 563, 1692, 547, 4194, 3252, 267, 12497, 6323, 4834, 267, 6061, 13392, 4834, 1210, 519, 4009, 3597, 3959, 563, 13043, 2259, 1449, 562, 903, 476, 1220, 278, 476, 276, 628, 267, 4573, 17586, 2301, 831, 3896, 267, 5173, 12825, 338, 1950, 267, 9511, 544, 7251, 537, 6549, 1396, 339, 749, 2985, 476, 1724, 267, 4009, 5072, 13004, 14469, 267, 28809, 9971, 1982, 585, 30263, 268, 10695, 267, 24275, 9498, 3268, 563, 1103, 2091, 4238, 3211, 3791, 3446, 267, 5276, 4834, 1863, 1187, 3211, 267, 5276, 1599, 3113, 543, 3211, 543, 3214, 543, 1863, 267, 2262, 281, 263, 10455, 1032, 264, 476, 278, 1299, 29757, 476, 279, 18593, 1449, 4574, 7005, 267, 4223, 18350, 16526, 521, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 1103, 2091, 15051, 257, 607, 851, 540, 834, 21316, 30388, 1315, 10789, 1315, 16504, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 306, 686, 22087, 11535, 630, 17566, 30078, 994, 2467, 941, 1472, 476, 276, 267, 4335, 14869, 3268, 593, 519, 1259, 547, 16444, 623, 3385, 13738, 630, 320, 21993, 18502, 269, 14088, 781, 30078, 1070, 519, 476, 276, 628, 32399, 855, 519, 1034, 10723, 7823, 538, 16444, 20092, 563, 312, 8403, 2817, 5244, 454, 312, 8403, 2817, 5244, 454, 312, 8403, 814, 1044, 519, 1034, 9976, 7320, 6288, 538, 16444, 20092, 585, 936, 519, 2540, 269, 13966, 609, 922, 1101, 1582, 12912, 4425, 518, 26956, 540, 519, 2112, 3014, 20758, 523, 670, 661, 1621, 601, 3691, 19816, 2372, 924, 513, 1650, 538, 3294, 962, 531, 698, 600, 892, 607, 1403, 729, 1634, 693, 519, 2490, 540, 519, 2540, 729, 538, 1198, 519, 968, 4910, 1211, 5026, 5443, 779, 968, 15246, 759, 518, 767, 513, 3552, 2197, 11603, 585, 813, 528, 2135, 574, 339, 569, 476, 14695, 271, 338, 336, 14790, 1063, 968, 298, 3518, 4157, 16988, 5211, 892, 543, 968, 10048, 1731, 5211, 6100, 1656, 8843, 922, 10665, 609, 962, 8403, 7453, 2470, 15395, 918, 636, 3570, 267, 22186, 31804, 4821, 267, 17833, 698, 600, 340, 11445, 543, 715, 2711, 11867, 7254, 9822, 541, 3796, 269, 634, 804, 22044, 622, 568, 10859, 543, 3819, 609, 28103, 26570, 2189, 547, 713, 1858, 2059, 609, 22586, 856, 23145, 1186, 899, 623, 573, 584, 3578, 752, 8403, 918, 582, 698, 8403, 808, 3711, 3120, 6549, 320, 1792, 1233, 827, 519, 6288, 1247, 1896, 4195, 543, 15741, 880, 1216, 12647, 616, 1336, 563, 2108, 312, 8403, 2817, 5244, 892, 568, 835, 540, 519, 1101, 543, 19466, 2817, 20088, 538, 16444, 20092, 269, 634, 6288, 5161, 540, 2947, 7161, 267, 1079, 540, 799, 616, 1631, 1930, 547, 519, 1857, 543, 849, 7755, 334, 1456, 11614, 269, 634, 7161, 723, 1367, 4408, 971, 607, 267, 681, 7795, 10044, 3084, 6288, 3625, 272, 543, 968, 330, 636, 3570, 2817, 6288, 892, 610, 2048, 312, 8403, 7532, 685, 585, 519, 7755, 334, 1456, 1858, 1547, 527, 568, 13883, 538, 519, 22703, 3148, 540, 2197, 269, 962, 8403, 3084, 6288, 11498, 936, 7013, 543, 772, 9366, 11662, 1369, 519, 1079, 13102, 3933, 31804, 8403, 543, 8621, 3316, 628, 7974, 267, 609, 513, 2698, 2291, 550, 540, 476, 7818, 3199, 3873, 1547, 527, 568, 4092, 827, 476, 4968, 12919, 476, 5002, 5195, 689, 2051, 558, 2692, 269, 898, 2488, 12062, 547, 606, 5044, 540, 2067, 10357, 1949, 1519, 3819, 6404, 28033, 4104, 267, 31922, 267, 5757, 710, 4104, 267, 6070, 1216, 561, 6210, 976, 543, 513, 12966, 540, 9381, 9249, 269, 962, 8403, 11478, 607, 513, 3014, 15395, 2094, 476, 5002, 271, 543, 729, 18175, 24612, 547, 519, 4567, 540, 513, 2817, 6288, 538, 476, 4350, 279, 563, 312, 8403, 8813, 1369, 519, 1970, 2197, 3819, 7997, 540, 519, 2197, 1141, 519, 9900, 12902, 14099, 568, 20441, 543, 519, 5993, 4764, 2887, 3328, 1472, 476, 1911, 271, 7825, 269, 1611, 2837, 2039, 689, 476, 736, 290, 538, 5130, 547, 476, 2764, 290, 538, 5130, 269, 24581, 22856, 538, 519, 3345, 5101, 3933, 22792, 2049, 1369, 519, 1974, 689, 4571, 5239, 547, 5412, 543, 2220, 749, 519, 1079, 2101, 8933, 538, 519, 6288, 799, 6971, 547, 12535, 1282, 3819, 4005, 454, 2421, 681, 2581, 654, 6359, 2131, 3019, 454, 263, 21914, 3256, 540, 1323, 340, 2784, 327, 777, 3120, 994, 2304, 340, 2784, 327, 777, 3120, 2749, 3710, 538, 519, 476, 275, 628, 2540, 7460, 621, 729, 519, 3854, 540, 3504, 16444, 20092, 2394, 476, 1556, 628, 2540, 5084, 269, 634, 1323, 340, 2784, 327, 777, 3120, 10806, 729, 1759, 593, 6683, 269, 543, 12555, 960, 609, 4359, 2029, 568, 519, 2101, 9740, 538, 519, 1323, 340, 2784, 327, 777, 3120, 10806, 269, 11153, 15438, 3710, 1804, 23668, 547, 1205, 1216, 538, 3819, 7886, 269, 3767, 621, 781, 1472, 476, 2412, 13483, 10275, 332, 2348, 6266, 540, 21219, 538, 519, 3504, 2749, 269, 2808, 10723, 547, 519, 14418, 1158, 1519, 14418, 1804, 853, 1575, 553, 630, 22859, 9774, 342, 601, 1047, 5984, 267, 19257, 529, 1177, 10620, 5984, 267, 808, 996, 1177, 534, 11535, 1070, 700, 990, 600, 1695, 777, 11535, 630, 1804, 2679, 2497, 3738, 543, 6266, 540, 21056, 616, 11744, 538, 1323, 340, 2784, 327, 777, 3120, 1858, 563, 306, 686, 18243, 3385, 5689, 580, 11867, 918, 22929, 454, 763, 13527, 540, 519, 29392, 630, 4039, 545, 540, 7083, 17700, 994, 763, 1158, 781, 1034, 7990, 995, 543, 2757, 968, 298, 22929, 3131, 320, 515, 571, 892, 568, 835, 540, 519, 1034, 10475, 2621, 538, 16444, 20092, 269, 1141, 835, 1058, 4585, 693, 2547, 2899, 538, 1010, 10715, 269, 634, 11454, 540, 5694, 16444, 18243, 3385, 5689, 580, 11867, 568, 538, 519, 4099, 540, 519, 2749, 269, 898, 568, 4092, 538, 519, 10424, 19289, 1950, 540, 519, 5449, 10806, 540, 918, 22929, 269, 634, 13037, 540, 519, 5694, 568, 4371, 538, 5147, 543, 4864, 538, 918, 22929, 269, 634, 13037, 7475, 609, 519, 2757, 968, 13312, 5984, 3223, 701, 9047, 892, 9161, 267, 513, 1216, 5969, 16008, 799, 568, 4371, 693, 519, 10067, 1177, 7942, 5757, 693, 717, 520, 600, 2041, 538, 918, 22929, 563, 763, 588, 528, 1221, 3889, 547, 519, 1318, 543, 2451, 540, 519, 695, 9068, 267, 13822, 519, 15335, 20453, 540, 519, 26112, 7722, 1282, 3232, 3028, 630, 763, 341, 6072, 1040, 634, 10554, 10689, 267, 519, 5399, 543, 519, 5604, 540, 519, 4144, 344, 1177, 611, 3570, 715, 559, 877, 563, 763, 10424, 19289, 568, 849, 1634, 607, 968, 22416, 580, 11867, 892, 972, 941, 1614, 530, 1695, 1779, 27885, 543, 606, 5216, 630, 279, 10264, 264, 1164, 4270, 1031, 607, 1292, 1303, 27509, 519, 3296, 540, 519, 19289, 6849, 519, 715, 24048, 8061, 1446, 568, 1767, 547, 581, 519, 9510, 269, 4438, 519, 4098, 540, 519, 1974, 4653, 621, 568, 12873, 607, 606, 15456, 9754, 10756, 297, 3530, 3534, 10783, 729, 3710, 676, 519, 2823, 1872, 12956, 693, 808, 3530, 3534, 538, 476, 14065, 279, 896, 10218, 324, 632, 14462, 4275, 1739, 519, 14082, 12289, 540, 808, 3530, 3534, 269, 1452, 5656, 723, 1044, 10032, 1282, 519, 476, 1789, 1296, 2025, 4835, 1193, 1057, 602, 30635, 3042, 519, 2197, 563, 19465, 3330, 519, 17135, 781, 15335, 546, 1075, 839, 2777, 918, 745, 903, 267, 5939, 519, 575, 28207, 31959, 2666, 7128, 20453, 543, 1896, 5656, 689, 519, 14082, 5736, 563, 5141, 846, 547, 519, 10465, 540, 519, 15798, 728, 15155, 4820, 616, 513, 1134, 5156, 547, 723, 1044, 9112, 1282, 519, 10656, 5736, 269, 1656, 513, 554, 8114, 11454, 3710, 693, 513, 2663, 4266, 269, 1656, 1082, 811, 1919, 596, 666, 1265, 538, 713, 1747, 269, 6875, 513, 2736, 267, 6001, 707, 2247, 269, 1284, 786, 3391, 596, 547, 1265, 1082, 1434, 4025, 547, 3643, 538, 808, 3530, 320, 269, 4855, 707, 15678, 593, 938, 3896, 269, 1284, 786, 2327, 519, 1655, 15678, 609, 513, 8013, 2557, 563, 301, 718, 584, 13527, 630, 297, 3530, 3534, 994, 301, 718, 584, 568, 606, 3413, 23308, 1016, 7875, 538, 808, 3530, 3534, 269, 898, 568, 4092, 476, 274, 14790, 5045, 689, 808, 3530, 320, 2749, 4099, 269, 715, 718, 584, 568, 835, 540, 16444, 20092, 781, 1034, 10723, 4025, 540, 31145, 585, 27734, 563, 763, 5993, 715, 718, 584, 11454, 13037, 24643, 5215, 540, 1821, 9850, 543, 8436, 269, 634, 11454, 568, 4904, 609, 6946, 11247, 543, 24112, 540, 10971, 543, 24587, 540, 519, 554, 8114, 3710, 538, 519, 476, 1428, 628, 2540, 269, 898, 729, 3710, 676, 519, 7550, 5067, 540, 513, 5609, 327, 8403, 4622, 3474, 752, 1090, 629, 24660, 17886, 540, 519, 737, 582, 974, 10806, 269, 0, 26244, 2358, 5753, 5808, 5213, 1406, 12315, 5455, 454, 21886, 15758, 8866, 1677, 3131, 572, 3164, 1656, 4208, 898, 25198, 454, 16829, 3967, 476, 1015, 267, 476, 1001, 278, 454, 296, 2731, 2219, 594, 1131, 2648, 14440, 4245, 269, 1656, 3791, 17603, 917, 741, 8186, 267, 1318, 286, 3733, 3993, 5129, 18991, 267, 543, 1352, 543, 1250, 19033, 5433, 602, 621, 1131, 948, 803, 1451, 547, 2206, 1732, 630, 3240, 1483, 7574, 2648, 1040, 1809, 1310, 1614, 3275, 267, 11427, 269, 10753, 576, 344, 267, 1250, 14440, 4116, 267, 8815, 609, 803, 1107, 513, 13691, 729, 711, 538, 519, 6486, 585, 891, 11263, 543, 713, 2634, 267, 543, 1352, 20483, 909, 1250, 4661, 602, 594, 729, 27830, 1250, 1920, 779, 2724, 543, 1200, 942, 269, 5463, 3547, 2663, 267, 594, 11291, 4743, 17212, 1386, 267, 5103, 1250, 3237, 685, 29359, 267, 602, 594, 1223, 1205, 1394, 547, 1250, 1781, 597, 14609, 625, 1141, 594, 5433, 513, 2603, 811, 19579, 982, 594, 1705, 27206, 693, 11427, 269, 10753, 576, 344, 779, 14440, 269, 594, 5433, 513, 1000, 16636, 540, 26845, 689, 29655, 267, 855, 621, 8959, 547, 3897, 1250, 7772, 538, 1818, 2575, 1250, 1259, 267, 799, 1250, 3158, 543, 19033, 4797, 547, 1489, 563, 1103, 1249, 267, 3791, 17603, 616, 1152, 1175, 4098, 547, 917, 741, 13821, 543, 13922, 269, 6969, 602, 267, 3237, 1419, 5855, 602, 789, 1058, 581, 8066, 3214, 547, 741, 19647, 543, 14767, 607, 513, 1259, 547, 1628, 16177, 543, 1832, 741, 1453, 689, 4742, 16718, 1562, 269, 901, 666, 1291, 547, 4160, 538, 3237, 543, 10539, 538, 741, 15556, 827, 945, 789, 616, 3395, 909, 585, 269, 1358, 616, 3395, 909, 547, 581, 2933, 1107, 1100, 811, 1100, 1447, 269, 5457, 267, 22525, 3125, 3294, 568, 8032, 538, 782, 922, 4898, 543, 14784, 676, 519, 2067, 7287, 547, 4487, 519, 1983, 540, 2022, 1532, 17879, 1272, 281, 6972, 267, 6158, 267, 4881, 267, 18530, 267, 1565, 547, 946, 2048, 7224, 685, 607, 513, 1259, 547, 7682, 13190, 269, 8409, 616, 711, 4001, 762, 1983, 1022, 811, 982, 1453, 4743, 7772, 538, 1018, 789, 4487, 568, 4001, 762, 269, 634, 7772, 2501, 689, 3257, 519, 2534, 269, 1924, 267, 1946, 798, 649, 5855, 827, 9870, 16718, 1562, 888, 268, 4107, 540, 519, 942, 267, 1762, 1453, 1616, 547, 3247, 606, 2534, 1317, 621, 1175, 3884, 1406, 585, 873, 269, 898, 3085, 1406, 1745, 4376, 899, 789, 2219, 621, 1131, 267, 621, 568, 711, 607, 1187, 607, 621, 6743, 543, 789, 616, 2907, 2841, 1836, 3257, 8631, 602, 789, 899, 1732, 269, 898, 568, 10355, 1317, 789, 616, 7432, 883, 16718, 1562, 563, 268, 14268, 12582, 1406, 3196, 1453, 547, 7119, 538, 1022, 2534, 602, 7959, 1448, 1652, 610, 7543, 547, 873, 269, 634, 7213, 11494, 1981, 540, 11173, 547, 7903, 693, 971, 8090, 568, 602, 707, 1126, 949, 1205, 519, 2631, 602, 596, 1810, 1406, 1174, 873, 267, 543, 7903, 25746, 13788, 741, 27132, 540, 2623, 267, 1818, 1852, 540, 1018, 789, 899, 610, 1810, 1406, 899, 519, 3390, 267, 711, 519, 7872, 540, 11981, 513, 1007, 2534, 609, 707, 1489, 563, 268, 898, 779, 5176, 7543, 547, 1590, 518, 519, 1648, 547, 6529, 609, 1945, 1007, 610, 1175, 3564, 707, 4313, 7997, 950, 596, 616, 3170, 580, 4240, 610, 26531, 676, 1617, 527, 27965, 2566, 269, 20828, 2685, 2285, 1453, 519, 942, 543, 2230, 547, 7017, 543, 1287, 2263, 519, 1919, 602, 26675, 873, 267, 799, 949, 581, 9157, 547, 798, 950, 789, 616, 840, 31039, 609, 16180, 707, 16786, 563, 268, 4270, 883, 1101, 3446, 267, 3237, 666, 2671, 811, 540, 519, 3375, 6194, 827, 2238, 547, 11654, 543, 1256, 1018, 1522, 581, 513, 10257, 942, 585, 513, 4693, 1974, 269, 1635, 1287, 267, 1453, 779, 7744, 1983, 616, 6793, 543, 789, 723, 513, 2603, 540, 1995, 8384, 741, 3237, 6529, 609, 1919, 602, 616, 711, 2141, 865, 2653, 610, 1187, 269, 6875, 2295, 910, 11095, 3356, 568, 593, 519, 2427, 540, 16177, 267, 711, 29655, 563, 7804, 269, 918, 1803, 623, 745, 9116, 568, 513, 11916, 7905, 540, 4132, 24741, 693, 519, 23171, 3427, 540, 6925, 543, 12409, 27545, 8274, 4759, 585, 634, 2696, 323, 731, 3427, 267, 606, 2038, 6689, 25531, 29929, 543, 3056, 9251, 3450, 1565, 998, 1404, 630, 4178, 3052, 15957, 1841, 1041, 2593, 1040, 0, 4629, 6224, 2464, 9898, 267, 12924, 630, 310, 4629, 290, 264, 2443, 589, 1804, 726, 2541, 540, 7452, 1055, 519, 9456, 5032, 540, 4000, 568, 1818, 922, 8912, 7552, 2066, 519, 9533, 7909, 609, 922, 24738, 593, 519, 2136, 2276, 563, 21132, 2012, 568, 519, 19300, 15546, 5794, 23771, 630, 306, 3201, 264, 543, 568, 1455, 547, 2049, 538, 4832, 269, 1879, 538, 519, 1318, 5250, 267, 621, 666, 581, 6531, 28198, 22140, 585, 1216, 5536 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1582, 8410, 1061, 2429, 713, 1557, 649, 786, 849, 581, 3168, 693, 5042, 6530, 2059, 609, 2618, 17871, 17550, 563, 763, 2165, 8682, 8410, 1061, 4016, 547, 606, 2856, 610, 2790, 3239, 602, 835, 2306, 540, 873, 1582, 585, 1383, 4978, 971, 607, 9232, 594, 6557, 513, 2186, 1268, 892, 610, 968, 296, 6557, 513, 2182, 11832, 892, 568, 938, 2949, 1582, 8410, 1061, 269, 1582, 8410, 1061, 568, 4443, 547, 9044, 610, 3337, 950, 649, 616, 7820, 543, 1869, 3843, 547, 1265, 856, 945, 649, 616, 713, 3884, 1406, 2141, 513, 1434, 3364, 607, 519, 4636, 1268, 666, 723, 513, 18205, 1198, 593, 938, 8682, 8410, 1061, 602, 666, 1291, 547, 1082, 5626, 2042, 563, 763, 8675, 11225, 1582, 8410, 1061, 607, 968, 534, 2856, 540, 519, 1582, 268, 24554, 539, 689, 519, 4978, 835, 6585, 827, 13951, 543, 519, 6114, 540, 1866, 9731, 763, 1079, 1292, 2188, 594, 786, 581, 23622, 593, 616, 519, 476, 276, 2188, 602, 17539, 1582, 8410, 1061, 267, 11790, 7133, 519, 1646, 540, 1582, 8410, 1061, 563, 3080, 540, 519, 476, 276, 1292, 2188, 602, 1118, 909, 1582, 8410, 1061, 568, 8682, 268, 13548, 267, 713, 568, 519, 2790, 4605, 649, 1118, 909, 540, 938, 1345, 713, 568, 519, 2093, 649, 1491, 883, 7156, 950, 649, 616, 10503, 938, 30441, 543, 1018, 649, 3494, 649, 1413, 899, 269, 621, 568, 849, 1759, 593, 519, 3347, 602, 723, 513, 2101, 1764, 593, 707, 19773, 593, 1272, 543, 875, 596, 616, 14156, 4299, 563, 4322, 616, 782, 2055, 649, 2307, 547, 5531, 513, 1582, 268, 13548, 543, 6218, 938, 1582, 4502, 891, 2010, 540, 2055, 6430, 2436, 596, 723, 513, 2635, 1582, 268, 13548, 610, 606, 14432, 1582, 268, 13548, 267, 707, 1582, 268, 13548, 568, 711, 1759, 593, 4641, 621, 568, 1759, 593, 519, 8226, 540, 3054, 596, 723, 543, 875, 596, 3494, 2486, 5784, 596, 267, 621, 2242, 936, 942, 607, 707, 1272, 2833, 1689, 621, 568, 1271, 596, 723, 513, 2318, 543, 10853, 1582, 268, 13548, 2348, 606, 32601, 1582, 268, 13548, 666, 2014, 513, 2603, 540, 3929, 543, 2168, 8194, 2436, 621, 568, 513, 2318, 610, 32601, 1582, 268, 13548, 563, 16341, 2053, 952, 596, 723, 513, 2942, 2219, 621, 666, 2014, 513, 2318, 1689, 563, 5194, 3815, 540, 713, 568, 1582, 12635, 563, 1607, 568, 513, 2631, 540, 2123, 4502, 543, 2463, 602, 596, 723, 2509, 3054, 267, 1582, 12635, 666, 581, 606, 1271, 851, 540, 1967, 267, 1932, 2370, 1582, 12635, 666, 2014, 1004, 547, 3111, 883, 3983, 6208, 971, 607, 29880, 543, 16160, 3347, 610, 621, 949, 682, 539, 547, 1582, 3620, 1301, 269, 1403, 2576, 814, 1932, 1454, 1582, 12635, 789, 666, 1831, 27640, 1170, 626, 713, 1287, 3123, 1004, 547, 581, 1055, 268, 1584, 1154, 543, 949, 2014, 3441, 547, 2123, 3347, 513, 27640, 1170, 626, 621, 936, 1476, 573, 656, 543, 3494, 789, 616, 1732, 982, 3025, 3116, 543, 2014, 824, 9082, 1582, 12635, 547, 581, 22485, 563, 6097, 547, 14161, 29124, 267, 707, 7209, 568, 1500, 909, 540, 1079, 1919, 519, 1483, 543, 519, 4998, 1582, 267, 519, 4998, 1582, 568, 606, 4998, 1242, 4528, 596, 1711, 856, 540, 1018, 596, 1451, 689, 1272, 2833, 543, 519, 8155, 540, 2486, 543, 519, 1004, 596, 31561, 1125, 267, 585, 1383, 267, 952, 835, 540, 707, 3237, 568, 513, 15818, 543, 789, 616, 3810, 15197, 538, 519, 2146, 543, 1287, 596, 1745, 899, 596, 723, 547, 1205, 513, 1164, 15134, 2816, 609, 513, 1434, 1790, 11691, 2816, 707, 4998, 1582, 1131, 581, 2576, 945, 14560, 547, 1353, 1876, 543, 6499, 547, 979, 513, 13416, 6280, 5957, 607, 707, 1483, 1582, 1522, 13842, 707, 1272, 543, 3494, 602, 596, 723, 8959, 563, 20236, 30797, 568, 2356, 3989, 607, 519, 3661, 538, 707, 12588, 547, 3035, 707, 3853, 610, 12492, 513, 1978, 6364, 269, 1967, 666, 581, 4299, 676, 1582, 3887, 11797, 930, 16895, 1747, 1582, 3887, 11797, 1657, 13007, 543, 3494, 621, 568, 1018, 2337, 1118, 513, 1268, 3811, 543, 3035, 782, 789, 666, 972, 616, 1114, 3029, 540, 1582, 3887, 11797, 267, 585, 1383, 267, 7206, 269, 898, 666, 849, 948, 7753, 1978, 943, 984, 5362, 563, 6930, 495, 489, 19743, 256, 594, 6557, 707, 5100, 13930, 25138, 2336, 10673, 1406, 917, 1141, 547, 1376, 286, 7392, 707, 4170, 543, 594, 3580, 1921, 596, 547, 606, 4081, 4274, 1369, 476, 274, 3764, 10947, 948, 609, 707, 7084, 0, 289, 17424, 1426, 5563, 281, 3680, 8805, 2643, 14385, 5563, 454, 2005, 568, 6059, 602, 972, 616, 1472, 8370, 2929, 8805, 2643, 14385, 5563, 538, 519, 3864, 5742, 1169, 1032, 269, 1452, 4551, 2014, 11591, 515, 531, 3676, 538, 3425, 269, 634, 13596, 666, 3006, 581, 1272, 18446, 585, 6375, 665, 20234, 668, 2213, 1004, 269, 634, 5563, 666, 581, 14284, 676, 2241, 9882, 3800, 563, 288, 1906, 4551, 616, 2614, 454, 2026, 4080, 676, 519, 8549, 4741, 585, 12594, 630, 289, 313, 325, 292, 264, 538, 513, 2792, 267, 1152, 513, 1906, 4551, 540, 519, 12593, 8805, 2643, 14385, 2014, 11591, 515, 531, 3676, 538, 3425, 269, 4340, 547, 4966, 267, 476, 4335, 2281, 616, 2614, 585, 606, 3968, 269, 769, 476, 1001, 277, 267, 1472, 476, 10619, 267, 1822, 13006, 2665, 941, 4080, 267, 1818, 8805, 2643, 14385, 2484, 811, 1271, 982, 27187, 5563, 267, 540, 799, 1152, 1472, 476, 1724, 267, 1822, 941, 1336, 538, 519, 1482, 1974, 269, 1703, 616, 606, 6059, 476, 280, 2929, 5563, 513, 1032, 2066, 519, 9167, 563, 14813, 1254, 666, 581, 5906, 454, 8601, 519, 4908, 267, 519, 24059, 568, 7361, 7164, 547, 6800, 281, 538, 513, 5619, 676, 570, 383, 506, 309, 590, 6686, 323, 267, 1152, 835, 2600, 540, 1346, 23500, 3957, 8805, 2643, 14385, 607, 519, 2014, 540, 9190, 1426, 5563, 563, 290, 2086, 2643, 14385, 666, 2014, 5563, 602, 1331, 2589, 971, 607, 8611, 267, 15677, 267, 4887, 1928, 267, 4745, 1928, 267, 13165, 267, 543, 14159, 1928, 563, 1103, 4686, 2665, 267, 8374, 689, 8805, 2643, 14385, 22719, 666, 849, 581, 2871, 650, 664, 5174, 1551, 2946, 6794, 267, 513, 2068, 540, 519, 8401, 1062, 563, 1103, 6375, 665, 20234, 668, 2213, 2550, 267, 513, 5312, 1576, 27938, 543, 538, 519, 10782, 2013, 519, 3968, 666, 3914, 1272, 18446, 17114, 269, 589, 1426, 3968, 666, 581, 3226, 5906, 585, 4587, 1004, 563, 299, 871, 540, 10051, 9882, 607, 519, 1292, 2014, 540, 3968, 454, 2026, 519, 645, 313, 325, 292, 6941, 267, 519, 8805, 2643, 14385, 3968, 568, 513, 865, 10777, 1990, 3019, 2670, 269, 634, 19800, 568, 10299, 689, 2831, 547, 3425, 3842, 1426, 540, 3662, 5169, 563, 17843, 2010, 540, 8805, 2643, 14385, 2049, 6923, 538, 519, 24026, 540, 16738, 267, 12418, 543, 14918, 543, 789, 616, 849, 3713, 762, 538, 3552, 5017, 543, 10130, 563, 291, 9233, 543, 7314, 945, 2661, 5702, 609, 3425, 616, 849, 513, 1761, 2707, 540, 3968, 269, 623, 15160, 5323, 25940, 12758, 547, 5798, 17850, 338, 666, 849, 2270, 519, 4551, 563, 763, 1292, 2014, 540, 3968, 267, 2705, 267, 568, 4057, 10051, 9882, 950, 4393, 16738, 5779, 563, 763, 4551, 616, 18233, 1524, 689, 519, 16738, 543, 10936, 539, 609, 11067, 5346, 1216, 610, 5779, 10433, 5196, 3457, 610, 824, 3536, 563, 12179, 821, 945, 1281, 711, 11547, 741, 3946, 267, 31009, 610, 5969, 12545, 1063, 960, 3268, 609, 5779, 543, 1346, 609, 6151, 1426, 267, 585, 1383, 267, 568, 22151, 4551, 547, 3536, 602, 616, 711, 12699, 563, 290, 809, 519, 5779, 5265, 454, 10890, 4966, 4061, 18973, 602, 596, 1058, 2628, 1880, 3007, 547, 10051, 9882, 267, 2523, 609, 16738, 5779, 563, 305, 1177, 9269, 1058, 2141, 581, 4988, 543, 6854, 538, 519, 21067, 693, 519, 5377, 267, 865, 602, 1022, 29400, 5277, 1281, 711, 30620, 5196, 824, 3536, 563, 298, 527, 7770, 27022, 971, 607, 31009, 267, 5969, 12545, 543, 3514, 14005, 1590, 2141, 581, 19345, 8499, 1310, 8600, 16738, 269, 11408, 11547, 707, 3946, 609, 12853, 543, 3636, 1216, 19952, 865, 602, 519, 4551, 798, 711, 3262, 563, 763, 1034, 1271, 3364, 267, 2705, 267, 568, 602, 519, 5779, 568, 2141, 1134, 11273, 267, 1317, 713, 568, 519, 1152, 1259, 519, 13596, 5884, 563, 6097, 547, 519, 645, 313, 325, 292, 267, 8805, 2643, 14385, 616, 2837, 6213, 267, 855, 789, 666, 3251, 538, 896, 322, 10541, 5779, 563, 763, 8549, 4659, 585, 11485, 10495, 630, 289, 325, 305, 264, 11339, 593, 922, 3896, 281, 834, 28959, 16738, 543, 5779, 8286, 18481, 2394, 519, 29400, 5779, 10433, 568, 2312, 543, 519, 5779, 814, 5828, 17642, 880, 630, 335, 15160, 1070, 12457, 11909, 630, 335, 1251, 264, 610, 12457, 29744, 630, 2041, 1030, 1040, 4840, 6097, 547, 519, 4966, 267, 476, 3583, 11019, 595, 1590, 581, 6603, 3330, 519, 1426, 585, 693, 2547, 1079, 3764, 269, 1403, 538, 8969, 267, 519, 2837, 666, 581, 13761, 609, 513, 5779, 26282, 563, 290, 1245, 568, 711, 2614, 547, 6146, 519, 17900, 281, 834, 763, 16171, 540, 1426, 6971, 519, 1297, 540, 8805, 2643, 14385, 267, 855, 1281, 711, 6146, 621, 2614, 2437, 3081, 519, 645, 325, 305, 269, 630, 611, 264, 0, 347, 4343, 272, 737, 5632, 630, 14689, 276, 737, 297, 10245, 290, 1941, 20566, 267, 22959, 20566, 267, 610, 8970, 4148, 712, 630, 23873, 2296, 264, 568, 519, 20566, 6508, 689, 8970, 630, 2742, 1125, 264, 10286, 7868, 20566, 568, 5833, 689, 519, 1439, 657, 11279, 540, 519, 17830, 269, 12397, 20566, 568, 513, 1455, 1426, 12146, 267, 1419, 1031, 547, 5394, 523, 27156, 610, 27130, 267, 543, 547, 1118, 8970, 21360, 543, 824, 14836, 269, 12397, 20566, 568, 11684, 267, 3362, 9168, 267, 543, 9060, 1082, 3096, 538, 2872, 971, 607, 14398, 1161, 267, 538, 1957, 2472, 267, 607, 606, 4550, 3613, 10107, 8665, 267, 543, 19135, 5663, 269, 898, 814, 2564, 3096, 607, 1134, 267, 971, 607, 547, 3761, 7280, 585, 1004, 609, 25026, 4094, 4859, 2068, 563, 12024, 1082, 2472, 538, 7452, 1106, 267, 621, 666, 581, 13818, 538, 1804, 9424, 1813, 547, 922, 1166, 2459, 1464, 1765, 5408, 7452, 16411, 269, 1879, 6404, 609, 513, 5714, 267, 8970, 20566, 666, 30337, 3294, 883, 513, 1875, 268, 6124, 2023, 1014, 5714, 269, 1280, 1383, 267, 4946, 1216, 21810, 8970, 20566, 883, 513, 1570, 4122, 1634, 607, 522, 984, 548, 1188, 1247, 4946, 3282, 21810, 8970, 20566, 883, 606, 1528, 2928, 515, 1670, 630, 2207, 264, 5714, 269, 634, 1523, 666, 581, 6045, 998, 519, 7848, 17941, 834, 25468, 4148, 712, 1793, 830, 8487, 29128, 476, 6977, 272, 267, 8970, 20566, 729, 1031, 5097, 585, 20566, 532, 27445, 543, 585, 824, 4853, 3096, 16804, 11239, 2877, 23378, 7212, 6140, 1031, 585, 5986, 543, 607, 513, 7622, 6221, 267, 8970, 20566, 568, 1031, 585, 1082, 5301, 538, 1896, 6080, 267, 8151, 689, 922, 946, 607, 513, 3114, 19605, 585, 1978, 2472, 267, 547, 2564, 3797, 585, 1978, 10108, 16804, 11239, 2877, 23378, 290, 1941, 20566, 568, 1031, 607, 513, 5394, 2287, 8665, 538, 5277, 2861, 3536, 630, 324, 3052, 1421, 17339, 267, 27156, 267, 28040, 625, 267, 8169, 731, 1070, 2356, 676, 11544, 621, 609, 513, 2539, 27529, 5277, 547, 1106, 513, 13594, 610, 1793, 25744, 269, 898, 568, 3006, 9053, 936, 7912, 4805, 1317, 621, 3029, 513, 6037, 1075, 550, 267, 2864, 982, 32630, 7848, 269, 1306, 519, 20566, 568, 12699, 267, 519, 7636, 11800, 19586, 267, 3850, 873, 547, 2458, 728, 609, 824, 20566, 11800, 547, 1106, 513, 17450, 267, 5394, 2287, 519, 5277, 630, 1805, 1105, 15074, 11294, 1436, 1040, 898, 568, 2356, 3769, 607, 606, 1884, 545, 1136, 8665, 538, 32314, 4006, 630, 6005, 610, 1476, 1254, 518, 781, 4006, 1040, 314, 11239, 2877, 23378, 288, 1455, 12990, 568, 15561, 10174, 20566, 267, 799, 30283, 519, 1482, 2179, 540, 8970, 20566, 563, 15933, 12696, 2569, 2504, 3790, 676, 4946, 8795, 5666, 540, 8970, 20566, 547, 3536, 267, 585, 1383, 547, 10381, 543, 18506, 563, 2419, 1157, 523, 8356, 1375, 1115, 609, 513, 6094, 9018, 4494, 540, 8970, 20566, 2636, 2799, 3282, 10338, 543, 26546, 1145, 1310, 519, 8545, 5933, 540, 31068, 563, 289, 17879, 8869, 949, 1331, 8970, 20566, 1851, 922, 5820, 269, 1496, 11239, 2877, 9948, 290, 1941, 20566, 666, 581, 1031, 547, 5478, 1979, 6955, 10415, 543, 949, 581, 1031, 538, 519, 5478, 540, 2011, 321, 4711, 563, 3849, 1127, 633, 666, 581, 1500, 689, 8970, 20566, 267, 12926, 835, 540, 519, 14398 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 497, 31176, 491, 27310, 7511, 31006, 9463, 367, 420, 488, 480, 30536, 1477, 258, 333, 18431, 23989, 419, 353, 374, 31284, 13601, 27310, 7511, 31006, 9463, 367, 420, 488, 480, 30536, 8147, 8147, 26033, 490, 30244, 12571, 482, 418, 479, 364, 418, 479, 364, 15159, 30006, 493, 418, 361, 350, 13161, 364, 20693, 510, 24662, 7511, 420, 488, 480, 30536, 1477, 0, 3698, 1772, 16954, 24576, 9638, 2313, 309, 267, 1402, 309, 8029, 1038, 1948, 2328, 3009, 1934, 1477, 1363, 1477, 1038, 513, 815, 32582, 258, 20001, 483, 20693, 358, 21550, 486, 8147, 418, 357, 350, 418, 489, 509, 24662, 21550, 486, 24731, 21550, 486, 1477, 1038, 795, 815, 476, 271, 1477, 1038, 585, 1775, 538, 7903, 309, 6769, 2018, 513, 6910, 9217, 3418, 2018, 1247, 513, 543, 476, 513, 15631, 272, 316, 2652, 1402, 309, 14728, 316, 6769, 3546, 513, 21014, 14052, 3546, 795, 6834, 476, 272, 1477, 1038, 952, 795, 2652, 7003, 9638, 641, 309, 8029, 2018, 2132, 6936, 1477, 1038, 2132, 8771, 5897, 335, 2313, 309, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 15947, 16647, 309, 815, 1496, 275, 267, 274, 267, 276, 267, 272, 267, 273, 15947, 2745, 263, 3674, 16954, 24576, 9638, 2313, 309, 267, 1402, 309, 4297, 0, 26611, 23591, 24800, 19841, 341, 9226, 7531, 5228, 4351, 1104, 28219, 842, 454, 18411, 3698, 9642, 3799, 2187, 16596, 562, 4939, 476, 273, 692, 718, 301, 4548, 815, 11713, 1721, 1142, 19617, 538, 2039, 263, 280, 2187, 453, 718, 301, 4548, 6910, 263, 8681, 842, 263, 272, 267, 4200, 4917, 2745, 6882, 263, 15957, 267, 782, 301, 4548, 9239, 718, 301, 4548, 815, 11713, 1721, 1142, 19617, 538, 2039, 263, 280, 2187, 453, 718, 301, 4548, 6910, 263, 8681, 842, 263, 272, 267, 476, 4200, 4917, 2745, 1496, 333, 585, 562, 538, 782, 301, 4548, 952, 562, 260, 273, 2639, 18411, 2745, 1496, 333, 585, 562, 538, 1496, 8681, 842, 263, 272, 267, 476, 4200, 264, 585, 1775, 538, 2039, 263, 280, 13580, 952, 562, 4939, 476, 273, 2639, 0, 5814, 4351, 454, 5814, 942, 454, 5228, 795, 18743, 1104, 2608, 7531, 28744, 630, 322, 14394, 4289, 264, 8528, 5035, 31133, 652, 691, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1820, 2891, 5602, 1038, 1820, 2891, 8702, 547, 8614, 16985, 344, 32405, 1038, 1820, 2891, 5602, 1038, 2012, 14352, 6358, 2891, 11767, 707, 2012, 256, 27328, 1038, 1820, 2891, 15916, 834, 1341, 2012, 1341, 834, 32405, 1038, 1820, 2891, 5602, 1038, 1582, 20508, 284, 4067, 454, 1038, 1582, 12500, 1678, 284, 271, 454, 1038, 1582, 6983, 14394, 577, 4069, 284, 271, 454, 1038, 1582, 269, 23896, 284, 271, 692, 825, 1219, 3442, 322, 14394, 4311, 17107, 1038, 3903, 815, 1193, 9272, 3488, 347, 3778, 1923, 11846, 1923, 3203, 1299, 9085, 1923, 15019, 9177, 1923, 15234, 16521, 513, 7121, 256, 1412, 26895, 12294, 10797, 1038, 952, 3903, 2652, 834, 327, 13426, 2018, 1820, 2891, 14532, 621, 568, 23528, 2018, 1582, 6983, 14394, 577, 4069, 815, 1686, 454, 27030, 1038, 952, 3903, 2652, 834, 338, 13426, 2018, 1820, 2891, 306, 7964, 621, 568, 23528, 2018, 1582, 6983, 14394, 577, 4069, 815, 5026, 8528, 1038, 952, 3903, 2652, 834, 320, 13426, 2018, 1820, 2891, 9209, 1299, 9085, 621, 568, 23528, 2018, 1582, 6983, 14394, 577, 4069, 815, 1148, 32173, 1155, 692, 1038, 952, 3903, 2652, 834, 335, 13426, 2018, 1820, 2891, 28082, 9177, 621, 568, 23528, 2018, 1582, 6983, 14394, 577, 4069, 815, 1402, 322, 11857, 692, 1038, 3116, 912, 2018, 1820, 2891, 8923, 4283, 519, 1101, 4484, 540, 519, 7121, 596, 1131, 899, 1701, 2020, 825, 1219, 3442, 23896, 7407, 4311, 17107, 1038, 3903, 815, 703, 9272, 3488, 347, 476, 1220, 1923, 476, 6110, 1923, 476, 7785, 1923, 476, 1911, 271, 1923, 15234, 763, 2362, 519, 1871, 267, 519, 9875, 519, 2243, 269, 476, 7994, 513, 1871, 256, 1412, 11723, 1038, 952, 3903, 2652, 476, 1220, 912, 2018, 1820, 2891, 1721, 476, 1220, 5602, 2018, 2243, 815, 1582, 6983, 14394, 577, 4069, 454, 2018, 1820, 263, 23896, 9131, 1220, 262, 7481, 2018, 1582, 269, 23896, 284, 23896, 9131, 1220, 262, 6540, 1038, 8640, 3903, 2652, 476, 6110, 912, 2018, 1820, 2891, 1721, 476, 6110, 5602, 2018, 2243, 815, 1582, 6983, 14394, 577, 4069, 454, 2018, 1820, 263, 23896, 9131, 6110, 262, 7481, 2018, 1582, 269, 23896, 284, 23896, 9131, 6110, 262, 6540, 1038, 8640, 3903, 2652, 476, 7785, 912, 2018, 1820, 2891, 1721, 476, 7785, 5602, 2018, 2243, 815, 1582, 6983, 14394, 577, 4069, 454, 2018, 1820, 263, 23896, 9131, 7785, 262, 7481, 2018, 1582, 269, 23896, 284, 23896, 9131, 7785, 262, 6540, 454, 1038, 8640, 3903, 2652, 476, 1911, 271, 912, 2018, 1820, 2891, 1721, 476, 1911, 271, 5602, 2018, 2243, 815, 1582, 6983, 14394, 577, 4069, 454, 2018, 1820, 263, 23896, 9131, 1911, 271, 262, 7481, 2018, 1582, 269, 23896, 284, 23896, 9131, 1911, 271, 262, 6540, 1038, 3116, 912, 2018, 1820, 2891, 8923, 4283, 519, 1297, 1871, 602, 596, 1131, 899, 513, 2243, 689, 15419, 567, 7531, 18524, 284, 294, 600, 652, 691, 4590, 18524, 26716, 5366, 322, 14394, 4590, 18524, 26716, 5366, 23896, 7407, 10797, 0, 12163, 825, 5276, 3406, 692, 825, 6988, 744, 3799, 2020, 825, 3399, 689, 519, 2451, 2865, 3693, 540, 2855, 26514, 543, 835, 676, 835, 5635, 1535, 609, 1142, 3693, 540, 2855, 314, 2639, 825, 1403, 1535, 13292, 609, 606, 3693, 267, 2132, 519, 4994, 563, 825, 1403, 1535, 3085, 1406, 6474, 609, 1022, 540, 2609, 267, 2132, 910, 272, 563, 20701, 3698, 5276, 15507, 19906, 267, 562, 267, 1535, 2187, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 952, 2855, 5157, 316, 2652, 1535, 912, 2018, 2132, 1775, 454, 825, 2132, 910, 272, 692, 1598, 318, 1551, 815, 3403, 3488, 19152, 606, 5044, 609, 1297, 543, 2230, 630, 1410, 281, 2473, 18958, 30619, 30619, 2473, 18958, 2567, 1412, 1040, 20889, 3488, 30386, 842, 318, 1551, 815, 1592, 9852, 777, 17301, 267, 1193, 318, 1551, 4917, 339, 13759, 815, 3403, 3488, 763, 1297, 596, 616, 10478, 585, 281, 1412, 2020, 2745, 3488, 10900, 955, 5073, 2745, 3488, 7312, 5044, 786, 581, 281, 22207, 703, 318, 1551, 994, 2745, 3488, 7312, 3077, 786, 581, 281, 22207, 3077, 2020, 14310, 815, 5276, 15507, 17301, 318, 1551, 267, 7003, 17301, 318, 1551, 1070, 3077, 994, 604, 1267, 2652, 910, 272, 912, 825, 1820, 3488, 763, 1297, 596, 616, 3168, 585, 568, 711, 538, 5044, 5073, 12828, 912, 825, 1820, 3488, 28062, 693, 4994, 281, 22207, 1267, 994, 0, 258, 2237, 513, 5124, 1982, 547, 1820, 513, 9138, 1592, 1310, 9427, 519, 476, 271, 628, 267, 476, 275, 628, 543, 476, 276, 628, 2609, 23228, 258, 25456, 5903, 2433, 18358, 16446, 3299, 1412, 16675, 3299, 1412, 19669, 3299, 1412, 14937, 3299, 1412, 303, 1074, 3299, 1412, 312, 3641, 11172, 1477, 258, 2750, 4624, 19243, 2433, 18358, 16675, 3299, 1412, 19669, 3299, 1412, 14937, 11172, 1477, 21506, 4289, 815, 18358, 16446, 3299, 1412, 16675, 3299, 1412, 19669, 3299, 1412, 14937, 3299, 1412, 303, 1074, 3299, 1412, 312, 3641, 12887, 303, 584, 921, 12887, 23325, 11172, 1477, 2745, 2891, 763, 1592, 568, 2580, 4289, 10142, 4289, 21014, 263, 271, 3418, 4289, 21014, 263, 275, 3418, 4289, 21014, 263, 276, 10142, 2745, 2891, 763, 1592, 1310, 9427, 519, 271, 628, 476, 275, 628, 543, 476, 276, 628, 3693, 568, 281, 14307, 4289, 3418, 0, 342, 6113, 815, 3403, 2891, 292, 30533, 320, 19448, 5493, 629, 571, 281, 257, 10142, 342, 6113, 273, 815, 530, 6113, 11468, 18737, 272, 316, 5897, 604, 530, 6113, 2652, 530, 6113, 273, 6769, 476, 1820, 2891, 15307, 320, 5493, 629, 571, 1965, 796, 6022, 785, 668, 334, 14744, 12828, 6769, 476, 1820, 2891, 15307, 320, 5493, 629, 571, 1100, 1965, 796, 6022, 785, 668, 334, 14744, 0, 11133, 8217, 815, 1496, 271, 267, 272, 267, 273, 267, 274, 267, 275, 267, 276, 6540, 258, 22614, 368, 351, 19764, 499, 272, 28996, 27381, 351, 19764, 499, 274, 454, 2745, 16325, 8217, 314, 272, 281, 276, 20285, 2745, 263, 272, 538, 1003, 8217, 2020, 2745, 263, 273, 711, 538, 1003, 8217, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4692, 11831, 19594, 902, 21079, 674, 9689, 888, 19185, 585, 513, 1187, 543, 13181, 1224, 888, 16100, 1100, 2417, 256, 901, 2376, 7710, 519, 4241, 1158, 540, 3440, 26971, 543, 875, 789, 666, 948, 2569, 11508, 538, 1585, 3156, 563, 3383, 1946, 7227, 286, 667, 633, 883, 713, 3078, 1888, 2221, 2336, 6701, 596, 13110, 540, 7231, 609, 11508, 538, 707, 6191, 543, 3457, 888, 11039, 267, 723, 1100, 4250, 1317, 3440, 26971, 616, 1934, 2336, 4322, 6263, 13300, 666, 948, 2569, 11508, 543, 2087, 519, 4398, 540, 1585, 3156, 563, 3719, 875, 798, 789, 960, 267, 543, 1018, 2306, 873, 865, 2027, 888, 2171, 3513, 2263, 519, 4241, 1158, 540, 3440, 26971, 267, 741, 1114, 2010, 543, 3096, 267, 543, 875, 789, 666, 4324, 596, 538, 4948, 1272, 563, 3383, 267, 1694, 1394, 267, 6001, 267, 543, 1577, 781, 4685, 883, 519, 3078, 2257, 3297, 3440, 26971, 2336, 4692, 3440, 26971, 2569, 11508, 888, 268, 272, 10611, 895, 3337, 2636, 585, 5347, 12902, 5163, 267, 4227, 11508, 1063, 3001, 2694, 563, 268, 273, 13034, 731, 1145, 543, 15006, 948, 16641, 1164, 2604, 543, 5957, 267, 4611, 538, 1447, 11508, 936, 942, 563, 268, 274, 11482, 578, 11664, 540, 11508, 6971, 519, 2179, 540, 3196, 2838, 547, 1847, 519, 12946, 563, 268, 275, 11482, 17128, 566, 666, 2417, 2569, 11508, 676, 3246, 513, 4494, 540, 4027, 1063, 519, 12946, 543, 922, 4478, 3334, 563, 268, 276, 6185, 27075, 2010, 540, 3440, 26971, 267, 971, 607, 16070, 3346, 610, 19876, 26971, 267, 616, 2966, 585, 1808, 3156, 547, 11694, 4398, 543, 6175, 11508, 563, 1103, 713, 2376, 267, 649, 3513, 979, 4514, 883, 519, 2257, 3297, 891, 6263, 2261, 12069, 543, 2263, 741, 1114, 2010, 543, 3096, 563, 2791, 3513, 1451, 827, 519, 2326, 1031, 547, 1118, 873, 267, 519, 2188, 602, 1860, 741, 2773, 267, 543, 519, 2640, 789, 2709, 936, 824, 2010, 540, 26971, 563, 3383, 267, 1832, 2542, 547, 3605, 519, 4241, 1158, 540, 3440, 26971, 543, 875, 789, 666, 1118, 707, 1272, 4443, 543, 811, 3608, 2336, 1692, 11831, 19594, 902, 4518, 888, 1805, 4450, 543, 9577, 540, 11831, 19594, 902, 454, 30761, 26971, 616, 7344, 3334, 2966, 547, 2569, 11508, 1063, 3001, 2694, 563, 5445, 2874, 540, 513, 2241, 855, 2500, 2497, 281, 1079, 14034, 267, 1634, 607, 519, 9018, 543, 6418, 5198, 1811, 267, 609, 513, 1305, 540, 1507, 11084, 5116, 538, 1063, 563, 763, 11084, 616, 1863, 547, 17967, 1369, 519, 5198, 1811, 267, 3850, 585, 5347, 12902, 5163, 1247, 10893, 11508, 563, 763, 3337, 540, 3440, 26971, 568, 2565, 547, 741, 1599, 563, 763, 11084, 616, 3335, 5180, 610, 20425, 267, 799, 2337, 873, 1847, 12347, 1369, 519, 5198, 1811, 543, 7413, 3346, 609, 824, 3334, 563, 5445, 616, 849, 1500, 689, 2326, 602, 616, 2182, 543, 14463, 267, 971, 607, 5374, 610, 17375, 267, 547, 16641, 1164, 2604, 543, 5957, 563, 1103, 1840, 547, 741, 3337, 543, 4070, 2326, 267, 19149, 566, 4249, 606, 1271, 1909, 538, 519, 2773, 540, 3440, 26971, 563, 299, 17128, 656, 2488, 513, 8825, 4494, 1063, 519, 12946, 543, 922, 4478, 3334, 267, 4227, 11508, 543, 7303, 5957, 936, 942, 563, 30761, 26971, 2097, 538, 1585, 2010, 543, 7306, 267, 1142, 2966, 585, 1808, 3156, 563, 2690, 1383, 267, 16070, 3346, 26971, 616, 4998, 585, 5885, 30212, 13907, 267, 1247, 24293, 26971, 616, 1732, 14018, 585, 5885, 24293, 13907, 563, 1320, 6412, 26971, 267, 593, 519, 824, 1688, 267, 616, 2966, 547, 16641, 1312, 30212, 543, 24293, 13907, 563, 30761, 26971, 616, 606, 1898, 5057, 538, 1082, 7344, 3457, 267, 4543, 547, 2333, 4398, 543, 2569, 5957, 543, 15237, 593, 3334, 563, 19853, 2241, 2943, 2500, 1374, 543, 15006, 1118, 873, 513, 2442, 3903, 585, 513, 2647, 2039, 540, 3156, 267, 689, 4853, 12227, 547, 7622, 14233, 563, 1692, 11831, 19594, 902, 21079, 674, 9689, 888, 30761, 26971, 948, 547, 2569, 11508, 676, 7175, 5347, 12902, 5163, 1063, 1079, 7252, 563, 5445, 798, 713, 1210, 513, 2241, 855, 2500, 7271, 281, 519, 11084, 5116, 1063, 519, 1079, 5198, 1811, 540, 519, 12946, 5066, 11884, 267, 3850, 585, 8766, 3346, 543, 11508, 1063, 519, 7252, 563, 2691, 606, 5007, 3196, 568, 4294, 547, 835, 540, 519, 5198, 1811, 267, 519, 11084, 17967, 538, 3210, 267, 26084, 519, 4452, 14961, 2066, 519, 2627, 563, 1607, 6971, 519, 2179, 540, 3196, 2838, 547, 1847, 519, 12946, 543, 24024, 519, 2179, 540, 5957, 543, 15237, 593, 519, 3334, 267, 7551, 4227, 11508, 563, 1103, 1840, 547, 741, 5180, 3337, 267, 3440, 26971, 616, 849, 1500, 689, 2326, 602, 616, 2182, 543, 14463, 267, 971, 607, 5374, 610, 17375, 563, 1607, 2636, 873, 547, 16641, 1164, 2604, 543, 5957, 936, 942, 267, 1247, 1869, 4509, 741, 3337, 547, 7413, 11508, 563, 7661, 267, 19149, 566, 666, 2417, 2569, 11508, 676, 3246, 513, 4494, 540, 4027, 1063, 519, 12946, 543, 922, 4478, 3334, 563, 299, 17128, 656, 2337, 547, 2061, 1463, 3346, 1063, 4496, 7252, 267, 799, 666, 2014, 11508, 267, 3002, 267, 543, 5957, 563, 30761, 26971, 1683, 513, 1942, 15807, 543, 3608, 3070, 585, 4227, 11508, 538, 513, 2647, 2039, 540, 7344, 3156, 563, 19853, 2241, 1374, 267, 15006, 267, 543, 2702, 547, 7500, 12347, 1256, 896, 5230, 13907, 1118, 873, 606, 1898, 5057, 538, 1082, 6191, 543, 3457, 2221, 563, 26502, 2334, 18748, 674, 9689, 454, 15703, 2188, 666, 1860, 11508, 1063, 1079, 7252, 267, 1519, 2627, 1570, 267, 3346, 1858, 267, 19149, 566, 267, 543, 4452, 563, 763, 1826, 540, 1570, 538, 3346, 609, 1142, 824, 3648, 5540, 11508, 563, 20776, 5865, 609, 1164, 11315, 1145, 610, 12150, 885, 4043, 547, 723, 2362, 11508, 607, 519, 19589, 543, 23898, 1711, 811, 3346, 2798, 602, 3500, 1524, 3350, 563, 4913, 267, 1978, 2326, 849, 723, 2539, 14170, 540, 11508, 982, 1866, 563, 2690, 1383, 267, 4496, 593, 4496, 949, 723, 513, 2362, 11664, 540, 11508, 982, 5068, 593, 4496, 563, 293, 9689, 4679, 609, 606, 2333, 538, 519, 3346, 1858, 1063, 1079, 7252, 563, 2691, 1079, 7252, 723, 513, 3677, 3346, 1858, 267, 972, 616, 811, 2798, 540, 3346, 1063, 873, 2676, 6518, 2164, 538, 3152, 4187, 547, 5163, 543, 3976, 2362, 11508, 563, 763, 4527, 540, 513, 19149, 656, 267, 971, 607, 3282, 610, 31294, 267, 666, 948, 2569, 11508, 1063, 1079, 7252, 563, 299, 17128, 1218, 1711, 513, 4670, 1063, 519, 7252, 602, 6971, 1463, 3346, 267, 16715, 11508, 543, 7303, 5957, 543, 15237, 563, 293, 9689, 849, 4679, 609, 606, 2333, 538, 519, 4452, 5116, 593, 513, 2627, 563, 2026, 519, 2179, 540, 2604, 593, 519, 7252, 4679, 267, 519, 4187, 547, 5163, 849, 4679, 267, 4611, 538, 2362, 11508, 563, 3519, 14287, 267, 4227, 519, 4452, 593, 513, 2627, 666, 6175, 11508, 563, 15703, 2188, 666, 1860, 11508, 267, 543, 1620, 891, 2188, 568, 1898, 538, 8888, 12227, 610, 3334, 602, 7500, 12347, 543, 7561, 563, 3528, 8939, 519, 1318, 2326, 267, 17306, 3346, 1858, 267, 1210, 3617, 19149, 566, 267, 543, 5883, 13907, 2676, 19956, 619, 666, 3927, 7413, 11508, 543, 2087, 519, 2773, 543, 15325, 540, 741, 1949, 563, 26794, 540, 4635, 11831, 19594, 902, 454, 30761, 26971, 2709, 1896, 5383, 936, 824, 2010, 540, 26971, 267, 1519, 4389, 11508, 267, 2799, 4398, 267, 543, 6905, 14438, 563, 763, 12902, 5163, 540, 3440, 26971, 2636, 585, 8766, 3346, 1063, 519, 12946, 543, 922, 4478, 3334, 267, 4611, 538, 4389, 11508, 563, 1607, 568, 3226, 1271, 538, 1164, 18286, 3156, 610, 1141, 972, 568, 513, 2603, 540, 16625, 5163, 2676, 553, 621, 6971, 1648, 4616, 543, 24024, 5957, 543, 15237, 593, 519, 3334, 563, 3528, 4227, 11508, 543, 10893, 1648, 2530, 267, 3440, 26971, 666, 3648, 2333, 519, 4398, 540, 7344, 1949, 563, 5445, 1450, 585, 23704, 5106, 267, 2154, 1447, 3196, 547, 1847, 543, 948, 2569, 519, 2179, 540, 3002, 6383, 1282, 5106, 563, 30761, 26971, 616, 2966, 547, 16641, 1164, 2604, 543, 5957, 267, 1818, 873, 513, 14463, 543, 1279, 18835, 5057, 538, 1082, 3156, 563, 19187, 569, 19149, 730, 543, 9738, 3440, 26971, 666, 1683, 5347, 543, 3608, 5106, 585, 1296, 267, 4227, 519, 991, 585, 7928, 5372, 906, 543, 18203, 563, 763, 5383, 540, 1210, 3440, 26971, 1118, 873, 606, 1898, 5057, 538, 513, 2647, 2039, 540, 3156, 563, 5445, 948, 2569, 11508, 267, 2333, 4398, 267, 543, 8831, 519, 14438, 540, 12227, 543, 3937, 267, 6038, 3246, 1942, 9806, 543, 4824, 2773, 563, 21918, 14591, 540, 4635, 11831, 19594, 902, 454, 4407, 3440, 26971, 2709, 3875, 5383, 267, 789, 849, 723, 930, 7687, 602, 9858, 543, 8030, 991, 547, 2015, 950, 8939, 519, 3617, 12946, 585, 513, 1808, 3498, 563, 4322, 7687, 1331, 519, 1761, 585, 5957, 543, 15237, 267, 8417, 547, 3765, 7955, 618, 267, 543, 2362, 1942, 3379, 547, 930, 8925, 563, 22025, 1113, 585, 23203, 543, 570, 792, 454, 8601, 741, 15006, 267, 3440, 26971, 666, 1869, 1995, 5957, 543, 15237, 936, 942, 267, 3226, 538, 3156, 609, 1164, 13907, 610, 5230, 946, 563, 1607, 666, 1267, 538, 4389, 2773, 267, 2799, 6846, 267, 543, 1256, 5821, 952, 2451, 31250, 563, 19894, 5826, 267, 971, 607, 19149, 566, 543, 10682, 540, 12816, 3334, 267, 568, 1898, 585, 4180, 519, 15325, 540, 3440, 26971, 563, 306, 27383, 547, 16700, 7955, 618, 454, 30761, 26971, 616, 6213, 547, 3765, 7955, 618, 543, 949, 3111, 16349, 569, 952, 789, 616, 711, 8704, 7157, 610, 798, 711, 7500, 1369, 1978, 7109, 1734, 563, 300, 529, 7955, 618, 666, 2014, 3606, 2566, 593, 519, 12946, 267, 3056, 547, 22636, 267, 19514, 5957, 267, 543, 6038, 267, 5821, 563, 19187, 10380, 543, 12972, 616, 2629, 585, 519, 6099, 2773, 543, 14438, 540, 3440, 26971, 563, 295, 27941, 8779, 22702, 547, 2368, 10201, 2510, 454, 4407, 3440, 26971, 2709, 3875, 5383, 936, 824, 2010, 540, 26971, 267, 789, 849, 4043, 547, 581, 811, 7199, 563, 1607, 568, 1813, 547, 519, 2362, 1570, 3790, 543, 5663, 3157, 3238, 538, 6721, 3440, 26971, 563, 1103, 930, 2665, 267, 4244, 12946, 3435, 949, 581, 811, 1942, 15807, 267, 4470, 593, 519, 1808, 4170, 540, 519, 3498, 563, 4407, 3440, 26971, 1683, 5140, 2773, 543, 2640, 267, 789, 849, 723, 930, 7687, 602, 9858, 543, 8030, 991, 547, 581, 3222, 540, 563, 3528, 5265, 8939, 267, 16459, 267, 543, 4509, 3440, 26971, 267, 891, 7687, 666, 581, 7339, 730, 267, 4180, 6099, 2773, 543, 15325, 540, 519, 12946, 543, 519, 2949, 1062, 563, 1103, 3932, 267, 3440, 26971, 616, 606, 1898, 5057, 538, 1082, 7344, 3457, 267, 3246, 513, 1942, 15807, 543, 3608, 3070, 585, 4227, 11508, 563, 19853, 5180, 3337, 267, 2182, 543, 14463, 2326, 267, 543, 19149, 566, 782, 960, 1927, 547, 5512, 5347, 12902, 5163, 1247, 10893, 5957, 543, 15237, 593, 3334, 563, 3528, 8939, 519, 1318, 1826, 540, 3440, 12946, 585, 707, 1808, 3498, 543, 4180, 1697, 10380, 543, 5826, 267, 596, 666, 2569, 11508, 267, 2333, 4398, 267, 543, 8831, 519, 14438, 540, 707, 7344, 1949, 269, 0, 25889, 14483, 543, 14232, 6042, 7282, 771, 26529, 2853, 585, 6704, 1216, 786, 723, 513, 1713, 1764, 593, 1082, 20848, 269, 2755, 20841, 814, 1044, 519, 21149, 656, 540, 3903, 585, 1034, 1949, 267, 1007, 6042, 616, 4611, 538, 513, 6521, 547, 4244, 771, 26529, 4066, 267, 971, 607, 17645, 267, 20841, 8166, 267, 543, 22292, 5982, 563, 7197, 540, 519, 1382, 543, 3498, 540, 891, 4066, 814, 1044, 9859, 4724, 5420, 547, 1804, 1949, 267, 1256, 1498, 1082, 1507, 1949, 786, 581, 5185, 609, 519, 1482, 771, 26529, 4170, 563, 268, 634, 3804, 540, 713, 1867, 568, 547, 1683, 3102, 543, 4052, 1344, 593, 771, 26529, 2853, 585, 1507, 6704, 1216, 1949, 630, 29006, 7674, 5095, 540, 1447, 982, 476, 274, 267, 4968, 1040, 16930, 6859, 616, 24298, 2630, 912, 268, 3629, 1507, 1606, 2448, 10986, 609, 5773, 585, 10442, 519, 12588, 540, 741, 4540, 2126, 6703, 547, 2743, 519, 6069, 771, 26529, 6042, 563, 268, 3629, 771, 26529, 8925, 602, 1507, 1949, 1223, 946, 547, 2743, 519, 6069, 771, 26529, 6042, 563, 268, 3629, 1344, 593, 5542, 543, 1374, 540, 4244, 771, 26529, 4066, 547, 4217, 1507, 20848, 543, 1374, 29801, 945, 949, 723, 547, 5372, 8392, 1588, 609, 606, 4244, 2029, 563, 268, 3629, 606, 4977, 4879, 540, 519, 2866, 267, 6296, 5106, 267, 543, 5826, 4170, 585, 1142, 2029, 563, 6944, 757, 6637, 476, 272, 281, 3848, 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 ]
[ 0, 3698, 3193, 19571, 6600, 19571, 267, 521, 19571, 267, 512, 19571, 2187, 825, 1948, 17968, 454, 825, 1948, 952, 535, 19571, 3436, 521, 19571, 543, 535, 19571, 3436, 512, 19571, 912, 825, 1948, 672, 2132, 535, 19571, 454, 825, 1948, 8640, 521, 19571, 3436, 512, 19571, 912, 825, 1948, 672, 2132, 521, 19571, 454, 825, 1948, 3116, 912, 825, 1948, 672, 2132, 512, 19571, 454, 825, 2132, 3193, 6600, 19571, 267, 521, 19571, 267, 512, 19571, 9239, 14140, 19571, 815, 703, 9272, 2891, 11767, 476, 272, 560, 1297, 27363, 16149, 19571, 815, 703, 9272, 2891, 11767, 476, 273, 526, 1297, 27363, 628, 2273, 19571, 815, 703, 9272, 2891, 11767, 476, 274, 6113, 1297, 27363, 2745, 2891, 16655, 1297, 568, 2580, 3193, 19571, 6600, 1009, 19571, 267, 2034, 19571, 267, 3791, 19571, 4917, 0, 12163, 8620, 513, 1007, 18482, 1572, 2048, 29806, 312, 8986, 9957, 8073, 513, 7305, 2048, 22923, 685, 609, 2048, 4785, 301, 8730, 685, 11243, 685, 543, 2048, 21848, 685, 607, 4610, 563, 2237, 513, 1982, 547, 7696, 707, 2475, 301, 267, 8745, 543, 6520, 1344, 883, 519, 3349, 563, 12163, 5814, 533, 2096, 903, 27942, 692, 935, 815, 533, 2096, 903, 27942, 269, 6618, 5560, 321, 6889, 325, 1400, 344, 8986, 2580, 3593, 6889, 10174, 2580, 10957, 6889, 2580, 3984, 6889, 29985, 10676, 15419, 14585, 815, 598, 269, 19387, 10797, 339, 787, 912, 825, 13483, 331, 815, 8173, 290, 3918, 12442, 570, 21764, 9906, 630, 639, 333, 703, 623, 6020, 300, 14473, 26395, 312, 10081, 18425, 920, 618, 267, 4067, 642, 1105, 541, 630, 1220, 1070, 720, 703, 264, 12163, 825, 1351, 20216, 31146, 4433, 27942, 994, 21955, 1401, 4003, 607, 608, 912, 825, 1948, 10959, 815, 834, 2304, 9868, 540, 1826, 2715, 271, 348, 7018, 269, 14803, 3701, 24097, 333, 346, 272, 256, 337, 348, 4840, 825, 1948, 5048, 815, 10959, 269, 8971, 263, 6943, 263, 1410, 1040, 1029, 4067, 1029, 267, 608, 269, 16911, 994, 825, 1948, 1820, 9852, 20687, 994, 825, 1780, 454, 4148, 698, 815, 6936, 454, 6112, 9206, 912, 825, 3403, 12173, 815, 3403, 3488, 11767, 8745, 5073, 825, 3403, 318, 720, 815, 703, 9272, 3488, 11767, 6520, 29125, 825, 1351, 20216, 31146, 2891, 27486, 12224, 5442, 15674, 9906, 630, 4067, 267, 720, 264, 966, 3201, 308, 2464, 630, 260, 338, 267, 260, 338, 264, 2580, 630, 6358, 12173, 267, 3403, 318, 720, 4917, 825, 598, 2593, 2466, 4590, 825, 9206, 815, 8771, 952, 3403, 2891, 23763, 547, 4283, 811, 630, 344, 14672, 264, 8442, 2652, 1412, 333, 262, 3116, 6936, 692, 338, 27942, 815, 834, 572, 937, 2608, 689, 9906, 4840, 14585, 20216, 31146, 4433, 27942, 994, 14310, 815, 1351, 8807, 21255, 718, 4590, 2745, 31114, 994, 0, 258, 1948, 8074, 476, 1496, 15311, 268, 272, 316, 9258, 1592, 454, 258, 1948, 2561, 754, 1592, 454, 258, 1948, 4994, 539, 267, 4573, 762, 267, 5918, 6473, 267, 2789, 1239, 2010, 454, 258, 513, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 2639, 258, 513, 6910, 263, 278, 994, 258, 1948, 667, 3080, 1592, 4238, 692, 258, 16515, 1255, 454, 258, 6348, 631, 17014, 692, 258, 30498, 454, 258, 1875, 268, 8161, 539, 454, 258, 4573, 762, 454, 258, 1100, 6221, 5918, 6473, 454, 258, 1284, 666, 849, 946, 3787, 3772, 11346, 585, 9769, 10167, 692, 258, 9218, 454, 1723, 318, 5115, 815, 13634, 825, 834, 301, 788, 531, 9899, 834, 298, 26774, 20350, 825, 834, 289, 327, 27175, 9899, 834, 1320, 11069, 340, 20350, 825, 834, 17682, 1146, 9899, 834, 298, 5429, 20350, 825, 834, 19328, 9899, 834, 6124, 16156, 20350, 825, 834, 19770, 9899, 834, 6826, 18268, 20350, 825, 834, 303, 8140, 9899, 834, 298, 541, 25764, 4840, 8679, 2745, 263, 1723, 318, 5115, 9131, 301, 788, 531, 262, 7481, 1723, 318, 5115, 14277, 300, 12245, 1161, 19312, 815, 1412, 300, 1446, 7055, 258, 1820, 263, 1723, 318, 5115, 994, 12248, 1845, 815, 1071, 318, 5115, 269, 12399, 4590, 5115, 8558, 815, 1071, 318, 5115, 269, 11161, 4590, 2745, 17338, 6262, 870, 1845, 4917, 2745, 263, 5115, 8558, 994, 2745, 4433, 9285, 263, 1723, 318, 5115, 269, 11161, 19572, 9258, 18989, 4917, 2745, 263, 1723, 318, 5115, 10947, 2891, 301, 788, 531, 27363, 2745, 12759, 263, 1723, 318, 5115, 4297, 0, 320, 815, 476, 272, 454, 321, 815, 476, 272, 454, 4289, 272, 815, 11713, 339, 787, 912, 825, 1820, 5416, 1315, 536, 994, 825, 3758, 815, 1930, 2891, 29582, 17902, 2580, 1412, 337, 5073, 825, 3758, 22182, 2891, 553, 5602, 825, 1820, 17338, 272, 314, 272, 7481, 21955, 20023, 19667, 1707, 13286, 912, 825, 1820, 2891, 321, 284, 271, 5602, 21955, 11711, 8253, 28062, 13286, 607, 552, 912, 825, 1820, 2891, 29024, 11711, 3502, 5853, 2580, 552, 994, 21955, 12039, 13286, 912, 825, 1820, 2891, 19340, 4934, 540, 3808, 5470, 5602, 21955, 594, 302, 13286, 607, 552, 912, 825, 1820, 2891, 22473, 18438, 1624, 3293, 2580, 552, 994, 12828, 912, 825, 1820, 2891, 2750, 1815, 2373, 950, 972, 568, 1100, 5470, 538, 2119, 3625, 5602, 325, 3373, 912, 825, 1820, 2891, 9989, 333, 1405, 1416, 952, 972, 616, 5470, 538, 2119, 610, 711, 713, 786, 581, 13401, 5602, 2745, 2891, 11687, 2807, 1701, 9239, 3698, 7941, 5416, 267, 536, 2187, 825, 952, 536, 2652, 476, 271, 912, 1038, 6318, 20023, 19667, 1707, 13286, 454, 825, 3116, 912, 1038, 2132, 513, 1315, 536, 7531, 339, 787, 912, 825, 1820, 5560, 643, 728, 263, 272, 267, 476, 271, 4917, 21955, 912, 825, 1820, 2891, 19667, 1707, 676, 4642, 257, 9239, 3698, 1285, 326, 263, 12201, 2187, 825, 8173, 825, 901, 568, 6697, 540, 3009, 2630, 454, 825, 952, 7003, 263, 12201, 264, 2652, 476, 271, 912, 1038, 6318, 2667, 1068, 542, 13286, 454, 825, 3116, 912, 1038, 2132, 2040, 263, 12201, 264, 1315, 7003, 263, 12201, 994, 825, 8173, 825, 7682, 7003, 263, 12201, 264, 11203, 476, 271, 267, 834, 8266, 568, 8900, 4840, 825, 2132, 2040, 263, 12201, 264, 1315, 7003, 263, 12201, 2020, 339, 787, 912, 825, 1665, 273, 815, 1496, 4649, 267, 476, 4649, 267, 476, 4649, 267, 476, 4649, 267, 476, 1911, 2639, 825, 1820, 2891, 13510, 326, 2580, 1285, 326, 263, 5658, 273, 11723, 825, 1665, 272, 815, 11713, 825, 1820, 2891, 13510, 326, 2580, 1285, 326, 263, 5658, 272, 4917, 825, 1820, 263, 822, 326, 263, 5658, 273, 4917, 21955, 2667, 1068, 542, 13286, 607, 552, 912, 825, 1820, 16216, 269, 16911, 264, 0, 3698, 2040, 15058, 5332, 13246, 25225, 2187, 825, 18304, 815, 476, 271, 454, 825, 585, 562, 538, 15358, 912, 1038, 18304, 6834, 562, 454, 825, 2132, 18304, 454, 258, 17968, 2132, 2040, 25225, 9239, 11133, 1499, 815, 1592, 9852, 777, 17301, 267, 3403, 2891, 11767, 519, 2338, 630, 338, 7685, 264, 2433, 834, 1040, 20889, 3890, 4917, 2745, 2891, 11764, 540, 2338, 568, 14307, 2040, 15058, 5332, 13246, 3799, 13246, 4297, 0, 258, 3752, 1407, 1455, 2042, 585, 519, 6641, 13240, 6828, 10965, 950, 2016, 513, 32089, 540, 10965, 630, 10059, 2517, 523, 25769, 3820, 28293, 13478, 2096, 13240, 14682, 4981, 10142, 258, 8191, 281, 20574, 29965, 569, 1923, 575, 603, 889, 281, 4179, 2517, 326, 603, 889, 2593, 11486, 335, 4565, 820, 569, 1477, 258, 11933, 916, 1759, 593, 12634, 17593, 10789, 10323, 309, 7728, 295, 11581, 296, 3582, 676, 9478, 589, 269, 11829, 1014, 5897, 258, 10671, 2231, 23657, 8713, 3155, 270, 13695, 13695, 476, 274, 269, 277, 267, 5124, 476, 274, 269, 278, 267, 610, 2362, 5897, 5814, 2979, 1477, 5814, 11885, 607, 5286, 5897, 3698, 561, 9492, 263, 2993, 8029, 825, 561, 322, 7825, 815, 15073, 314, 271, 15947, 825, 585, 1775, 538, 15073, 314, 272, 281, 316, 6769, 8587, 561, 322, 7825, 815, 561, 322, 7825, 265, 328, 2260, 4118, 3052, 7251, 10857, 322, 7825, 267, 1775, 3418, 825, 2132, 561, 322, 7825, 5897, 3698, 4783, 23919, 6262, 8029, 825, 1948, 3403, 568, 476, 272, 4783, 607, 513, 1592, 281, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 15947, 825, 2132, 1193, 6262, 1040, 516, 2897, 2891, 14277, 2437, 2891, 1040, 516, 2897, 2891, 316, 14824, 17983, 1040, 516, 2897, 2891, 14307, 834, 257, 10142, 3698, 3977, 10734, 4265, 518, 263, 2993, 8029, 825, 1948, 1058, 723, 2907, 10736, 9979, 547, 12673, 1210, 4783, 23919, 263, 12860, 3418, 825, 5569, 815, 834, 29177, 825, 585, 561, 538, 15073, 6769, 1038, 5569, 6834, 4783, 23919, 10857, 3418, 825, 2132, 5569, 18622, 2897, 2891, 14307, 834, 257, 10142, 3698, 7989, 583, 5334, 565, 341, 263, 11279, 16615, 8029, 825, 1948, 9717, 513, 32089, 4194, 2789, 3344, 540, 519, 32089, 1477, 825, 1948, 18452, 6769, 1038, 1948, 7392, 281, 5899, 1477, 1038, 1948, 7151, 281, 1412, 263, 272, 267, 273, 267, 274, 7565, 275, 267, 274, 267, 276, 267, 277, 7565, 279, 267, 274, 267, 273, 267, 272, 264, 262, 1477, 825, 1948, 16849, 6769, 1363, 1948, 3803, 318, 4134, 329, 2002, 1477, 17264, 1948, 7392, 281, 1592, 540, 8638, 1477, 3546, 1948, 634, 32089, 6829, 607, 513, 1587, 540, 771, 329, 2002, 9979, 1477, 1363, 1948, 3803, 8548, 777, 1477, 17264, 1948, 7392, 281, 8675, 1477, 3546, 1948, 634, 3803, 11837, 540, 519, 32089, 630, 6518, 3803, 318, 4134, 329, 2002, 568, 1759, 593, 3418, 4449, 1477, 825, 32089, 815, 32089, 18622, 2897, 2891, 14307, 834, 14744, 825, 521, 815, 32089, 21858, 3488, 264, 10807, 11468, 268, 272, 15947, 825, 521, 815, 1496, 11279, 314, 272, 281, 316, 585, 7989, 538, 521, 15947, 825, 521, 815, 1496, 572, 336, 21858, 263, 3299, 10807, 585, 694, 336, 538, 521, 15947, 825, 15073, 815, 1496, 15947, 825, 585, 694, 336, 538, 521, 6769, 1038, 10917, 17342, 15947, 1038, 585, 1003, 538, 694, 336, 6769, 2018, 10917, 6910, 17301, 16325, 17903, 1038, 15073, 6910, 6025, 11391, 3418, 24541, 825, 3193, 26371, 815, 3193, 8443, 10946, 10857, 264, 585, 561, 538, 15073, 29573, 24541, 825, 678, 815, 1592, 263, 516, 951, 539, 263, 2993, 4297, 1948, 9258, 938, 32089, 865, 649, 666, 29906, 938, 3252, 538, 519, 2953, 1931, 1477, 24541, 825, 1948, 1628, 938, 1592, 540, 3252, 1759, 593, 519, 32089, 21506, 825, 575, 839, 815, 32582, 21506, 825, 585, 694, 336, 538, 678, 6769, 1038, 546, 815, 15079, 1477, 1038, 585, 1775, 538, 2039, 12759, 263, 572, 336, 264, 8029, 2018, 1948, 4783, 1394, 547, 1101, 3693, 952, 596, 5734, 519, 1439, 1477, 2018, 952, 1775, 2652, 7003, 263, 572, 336, 9984, 272, 6769, 3546, 546, 314, 572, 336, 5157, 14963, 815, 694, 336, 314, 271, 15947, 2018, 3116, 6769, 3546, 546, 314, 572, 336, 5157, 14963, 815, 694, 336, 5157, 266, 272, 15947, 1038, 575, 839, 6910, 5560, 3418, 1363, 1477, 825, 3803, 8548, 777, 815, 15079, 1477, 24541, 825, 1948, 1039, 782, 1875, 1790, 6974, 2418, 799, 616, 538, 10965, 630, 10339, 663, 519, 630, 328, 25814, 264, 10035, 3418, 825, 585, 575, 538, 575, 839, 6769, 1038, 585, 1775, 538, 2039, 263, 272, 267, 10946, 26371, 1341, 272, 8029, 2018, 952, 1775, 711, 538, 575, 269, 12399, 28399, 3546, 575, 5157, 24557, 328, 1477, 24541, 825, 1948, 585, 1142, 1871, 538, 10965, 267, 29906, 938, 1305, 540, 3252, 547, 1205, 519, 3803, 11837, 1477, 825, 585, 1775, 538, 2039, 263, 272, 267, 10946, 26371, 1341, 476, 272, 8029, 1038, 512, 815, 1775, 1477, 1038, 585, 575, 538, 575, 839, 6769, 2018, 1948, 2745, 3488, 339, 281, 22207, 339, 10086, 15010, 3299, 326, 314, 339, 8079, 1948, 3181, 1872, 547, 1294, 1599, 11837, 1477, 2018, 512, 815, 575, 314, 339, 15947, 1038, 3803, 8548, 777, 5157, 316, 815, 512, 1477, 1363, 1477, 825, 1820, 28361, 333, 29806, 29570, 281, 20298, 825, 1820, 263, 12860, 23919, 17338, 6600, 1400, 8548, 777, 269, 12399, 3890, 4297, 3418, 825, 1820, 263, 12860, 23919, 17338, 6600, 1400, 8548, 777, 269, 11161, 3890, 4297, 3418, 24541, 825, 1948, 1265, 2189, 9979, 547, 1628, 519, 7989, 6672, 607, 513, 1587, 540, 771, 329, 2002, 9979, 23228, 24541, 825, 771, 329, 2002, 815, 5286, 15126, 8443, 8079, 1948, 13475, 519, 1297, 540, 2609, 21986, 539, 2394, 621, 10301, 621, 781, 4358, 1871, 1477, 825, 9979, 815, 32582, 1948, 1628, 782, 2009, 9979, 1477, 24541, 825, 585, 1775, 538, 2039, 263, 272, 267, 10946, 26371, 1341, 476, 272, 8029, 1038, 512, 815, 3803, 8548, 777, 5157, 15947, 1038, 3950, 815, 476, 272, 1477, 1038, 2199, 318, 12860, 815, 1496, 328, 25722 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5036, 540, 1483, 2338, 1331, 2067, 2338, 267, 1775, 4318, 24951, 543, 7787, 24222, 11788, 270, 4467, 22683, 2338, 267, 782, 2898, 2338, 543, 4647, 519, 3211, 568, 593, 1142, 540, 519, 540, 256, 16301, 538, 713, 4806, 543, 782, 9981, 616, 1022, 1079, 2898, 2338, 3788, 519, 1482, 7488, 540, 519, 585, 269, 630, 8940, 9950, 706, 326, 664, 2593, 3738, 9608, 946, 1152, 267, 5010, 946, 568, 14553, 19275, 16611, 1927, 519, 1862, 476, 279, 267, 476, 1321, 267, 476, 1626, 267, 476, 736, 267, 476, 2190, 2507, 519, 23385, 540, 476, 276, 666, 581, 22434, 585, 1863, 519, 2338, 1862, 15822, 543, 1832, 1565, 30314, 30314, 8627, 26008, 1862, 10606, 281, 3040, 930, 1995, 609, 585, 2072, 543, 23651, 3601, 540, 2898, 2338, 7824, 1689, 538, 519, 1931, 2338, 256, 1635, 476, 276, 799, 616, 16883, 676, 513, 2034, 1297, 17337, 883, 519, 1101, 609, 1100, 14230, 596, 256, 3502, 798, 1022, 9273, 1631, 267, 1175, 1118, 513, 3903, 476, 1015, 543, 476, 1789, 476, 275, 873, 1114, 2067, 256, 3502, 17447, 267, 789, 1118, 9273, 896, 1978, 4238, 899, 1840, 267, 12408, 267, 8691, 543, 3738, 1862, 634, 862, 32477, 267, 1997, 894, 543, 2733, 5737, 3601, 543, 1297, 7869, 5039, 531, 5912, 9273, 1631, 267, 1175, 513, 1862, 10606, 1449, 1354, 596, 1376, 2921, 519, 1449, 267, 476, 2190, 2507, 519, 23385, 540, 476, 276, 666, 581, 22434, 585, 1863, 18833, 256, 1924, 267, 1022, 1297, 799, 814, 811, 982, 1079, 2188, 568, 513, 4015, 540, 938, 2807, 30142, 1431, 616, 954, 577, 6548, 948, 547, 14458, 543, 2626, 513, 2560, 2898, 2338, 2164, 3478, 269, 3776, 1702, 1898, 7726, 630, 521, 3738, 630, 538, 2875, 7888, 2474, 3738, 8061, 1047, 513, 1544, 596, 1223, 1246, 547, 543, 1862, 7089, 2067, 1297, 6715, 518, 20734, 20734, 910, 274, 476, 276, 476, 274, 2338, 14687, 22762, 29182, 547, 12719, 519, 4320, 540, 513, 568, 269, 14497, 540, 12980, 281, 946, 713, 547, 1820, 1510, 589, 1091, 543, 15484, 8663, 630, 512, 6545, 513, 7643, 1862, 4746, 2898, 2338, 585, 1840, 543, 8691, 3601, 519, 1739, 9273, 1131, 596, 3442, 547, 519, 269, 3689, 609, 1100, 14230, 540, 513, 14328, 24388, 585, 1840, 543, 8691, 786, 30603, 513, 1360, 5432, 8513, 2443, 256, 645, 815, 524, 568, 849, 513, 2898, 1297, 3294, 5039, 531, 5912, 1336, 676, 10203, 538, 2185, 338, 536, 269, 780, 2162, 962, 28262, 962, 777, 13799, 27476, 600, 13799, 26535, 692, 4962, 274, 274, 476, 28307, 476, 11463, 476, 11152, 30263, 298, 6369, 589, 6938, 0, 258, 13158, 3930, 607, 17773, 692, 1012, 4197, 13158, 3930, 607, 17773, 692, 31535, 875, 547, 6460, 12753, 547, 8454, 666, 581, 6225, 538, 1585, 3871, 267, 3226, 950, 12270, 3688, 538, 513, 1808, 5223, 267, 971, 607, 519, 1297, 540, 8695, 547, 6690, 538, 513, 4928, 269, 769, 713, 2376, 267, 649, 786, 1865, 519, 1523, 540, 11589, 12753, 607, 8454, 267, 2059, 609, 875, 547, 2099, 543, 14458, 873, 780, 2414, 2253, 267, 1577, 781, 5581, 1018, 568, 5921, 676, 834, 7806, 3930, 607, 8454, 1701, 1879, 12753, 616, 2854, 538, 519, 1106, 540, 8454, 267, 609, 513, 3935, 19459, 519, 19362, 543, 14009, 267, 621, 666, 581, 1767, 602, 789, 616, 1373, 6719, 607, 8454, 269, 1280, 1383, 267, 513, 5223, 540, 2473, 281, 312, 666, 581, 6829, 607, 513, 6824, 538, 519, 1106, 540, 2473, 312, 780, 3086, 267, 1577, 781, 4983, 513, 1906, 1806, 540, 875, 12753, 666, 581, 2854, 607, 8454, 1384, 1892, 22472, 476, 272, 281, 273, 666, 581, 2854, 607, 476, 1321, 454, 1892, 22472, 476, 276, 281, 277, 666, 849, 581, 2854, 607, 476, 6321, 454, 1892, 22472, 476, 274, 281, 273, 666, 581, 6829, 607, 476, 3953, 454, 1892, 22472, 476, 1724, 281, 1321, 666, 581, 16866, 547, 476, 14530, 273, 692, 30860, 602, 538, 1142, 540, 891, 8320, 267, 519, 24970, 1027, 550, 630, 1492, 1101, 1297, 538, 519, 5223, 264, 3587, 519, 19362, 540, 519, 6824, 267, 543, 519, 3702, 550, 630, 1492, 2034, 1297, 538, 519, 5223, 264, 3587, 519, 14009, 780, 2467, 616, 1896, 3601, 547, 1832, 538, 2247, 950, 2324, 609, 12753, 607, 8454, 1384, 1892, 634, 24970, 1027, 550, 540, 519, 5223, 568, 519, 19362, 540, 519, 6824, 267, 543, 519, 3702, 550, 568, 519, 14009, 267, 1152, 952, 519, 6824, 568, 711, 538, 922, 14724, 1106, 269, 1280, 1383, 267, 538, 519, 5223, 476, 273, 281, 274, 267, 476, 273, 568, 519, 24970, 1027, 550, 543, 476, 274, 568, 519, 3702, 550, 269, 1879, 649, 6460, 713, 5223, 547, 513, 6824, 267, 621, 3587, 476, 2537, 267, 1141, 519, 24970, 1027, 550, 630, 273, 264, 568, 519, 19362, 543, 519, 3702, 550, 630, 274, 264, 568, 519, 14009, 563, 1892, 589, 5223, 666, 1152, 581, 10736, 547, 513, 6824, 952, 519, 3702, 550, 568, 711, 513, 3815, 540, 519, 24970, 1027, 550, 269, 1403, 519, 3702, 550, 568, 513, 3815, 540, 519, 24970, 1027, 550, 267, 519, 6824, 786, 1831, 513, 2898, 1297, 269, 1280, 3236, 267, 513, 5223, 540, 476, 1015, 281, 276, 3112, 581, 2854, 607, 513, 6824, 1317, 476, 276, 568, 513, 3815, 540, 476, 1015, 269, 5502, 267, 621, 29776, 547, 519, 2898, 1297, 476, 273, 563, 1892, 1879, 14291, 513, 5223, 547, 513, 6824, 267, 519, 6824, 1590, 581, 4389, 547, 922, 14724, 1106, 269, 1280, 1383, 267, 952, 649, 723, 519, 5223, 476, 277, 281, 1015, 543, 1616, 547, 6460, 621, 547, 513, 6824, 267, 621, 3587, 476, 29637, 269, 1717, 267, 649, 1590, 14458, 713, 6824, 547, 476, 3374, 563, 1892, 13158, 3930, 607, 8454, 798, 711, 723, 1022, 4559, 1317, 1312, 519, 24970, 1027, 550, 543, 3702, 550, 723, 519, 1482, 4559, 269, 1280, 3236, 267, 952, 649, 723, 513, 5223, 540, 1079, 9883, 267, 609, 476, 276, 9492, 1373, 547, 476, 278, 9492, 267, 950, 649, 6460, 621, 547, 513, 6824, 267, 621, 3587, 476, 6872, 267, 543, 519, 4559, 22599, 856, 563, 1892, 4595, 12753, 723, 1100, 4559, 267, 547, 22599, 856, 1022, 4559, 267, 1312, 519, 24970, 1027, 550, 543, 3702, 550, 1590, 723, 519, 1482, 4559, 269, 1280, 1383, 267, 952, 519, 5223, 568, 476, 2004, 4699, 281, 272, 544, 267, 649, 1590, 2327, 602, 1312, 519, 24970, 1027, 550, 543, 3702, 550, 723, 519, 1482, 1770, 1354, 14291, 621, 547, 513, 6824, 269, 769, 713, 2013, 267, 649, 1131, 6460, 621, 547, 476, 2004, 9492, 281, 1911, 9492, 267, 799, 29776, 547, 476, 1321, 563, 1892, 1879, 2324, 609, 12753, 607, 8454, 267, 621, 568, 1898, 602, 1312, 519, 24970, 1027, 550, 543, 3702, 550, 616, 6829, 607, 2898, 2338, 269, 1403, 649, 723, 513, 5223, 899, 476, 275, 269, 276, 281, 274, 269, 276, 267, 649, 666, 2901, 9062, 1312, 2338, 676, 476, 273, 547, 1205, 476, 280, 281, 278, 267, 610, 649, 666, 9062, 1312, 2338, 676, 476, 1015, 547, 1205, 476, 3393, 281, 3374, 267, 799, 29776, 547, 476, 9032, 563, 1892, 14936, 267, 12753, 5627, 811, 982, 835, 7274, 3112, 581, 6829, 607, 513, 6824, 8259, 1142, 7274, 568, 6829, 607, 513, 6824, 540, 519, 2698, 269, 1280, 1383, 267, 952, 649, 723, 513, 5223, 540, 536, 4593, 7057, 1373, 3838, 1851, 1614, 1004, 538, 519, 5223, 476, 273, 281, 272, 281, 274, 267, 649, 3112, 2099, 713, 607, 513, 6824, 269, 1717, 267, 952, 649, 941, 4280, 547, 2769, 519, 1101, 1268, 781, 2671, 607, 513, 5223, 540, 519, 2698, 267, 649, 1131, 5173, 519, 2698, 607, 476, 273, 266, 272, 266, 274, 284, 277, 543, 1287, 2769, 519, 1101, 1268, 781, 2671, 607, 476, 273, 281, 277, 267, 799, 29776, 547, 476, 1724, 780, 2414, 14458, 12753, 607, 8454, 267, 972, 616, 513, 1906, 2409, 649, 666, 946, 1384, 1892, 4635, 519, 5207, 1455, 3815, 630, 18449, 293, 2567, 1284, 666, 7941, 519, 19362, 543, 14009, 676, 519, 5207, 1455, 3815, 547, 14458, 519, 6824, 269, 1280, 1383, 267, 952, 649, 723, 519, 5223, 476, 1240, 281, 2190, 267, 649, 666, 2769, 621, 607, 513, 6824, 630, 9264, 275, 264, 543, 1287, 7941, 1312, 2338, 676, 519, 5207, 1455, 3815, 267, 799, 538, 713, 2013, 568, 476, 277, 269, 634, 6824, 29776, 547, 476, 4097, 563, 1892, 4635, 519, 9803, 1455, 3815, 630, 9448, 293, 2567, 901, 1505, 568, 3730, 950, 7231, 609, 3677, 2338, 269, 1284, 1265, 519, 9803, 1455, 3815, 1063, 519, 19362, 543, 14009, 543, 11179, 7941, 1312, 2338, 676, 621, 2394, 1100, 1455, 3815, 3788, 269, 1280, 1383, 267, 952, 649, 723, 519, 5223, 476, 1240, 281, 2190, 267, 649, 666, 1376, 676, 11589, 621, 607, 513, 6824, 630, 9264, 275, 1070, 543, 1287, 7941, 1312, 2338, 676, 519, 9803, 1455, 3815, 267, 799, 568, 476, 277, 269, 901, 29776, 519, 6824, 547, 476, 4097, 780, 1012, 13158, 3930, 607, 17773, 585, 13229, 9046, 4149, 6295, 692, 8139, 875, 547, 6460, 12753, 547, 8454, 543, 14458, 873, 814, 3875, 4052, 3156, 267, 971, 607, 6061, 2979, 2042, 267, 12270, 3688, 538, 513, 1808, 5223, 267, 610, 16208, 1239, 538, 513, 2016, 2796, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1523, 540, 12753, 607, 8454, 543, 1451, 875, 547, 4194, 2042, 5473, 873, 780, 1012, 15531, 519, 8899, 652, 5871, 16748, 692, 2414, 6460, 513, 5223, 547, 513, 6824, 267, 519, 1101, 1900, 568, 547, 1265, 519, 9803, 1455, 3815, 269, 1280, 3236, 267, 519, 9803, 1455, 3815, 1063, 476, 1240, 543, 476, 2190, 568, 476, 273, 269, 4475, 267, 519, 5223, 476, 1240, 281, 2190, 666, 581, 6829, 607, 476, 1240, 270, 2190, 610, 16866, 547, 476, 274, 270, 275, 780, 20118, 267, 585, 519, 5223, 476, 280, 281, 1321, 267, 519, 9803, 1455, 3815, 568, 476, 274, 267, 1818, 519, 6824, 476, 280, 270, 1321, 610, 16866, 607, 476, 274, 270, 275, 269, 1717, 267, 585, 519, 5223, 476, 274, 281, 275, 267, 972, 568, 1100, 1455, 3815, 267, 865, 519, 6824, 3788, 607, 476, 274, 270, 275, 780, 3528, 1620, 891, 3601, 540, 12753, 607, 8454, 267, 649, 666, 3927, 4194, 2042, 5473, 873, 780, 1012, 20593, 1154, 13158, 3930, 883, 17773, 692, 15919, 267, 649, 949, 7237, 2042, 1141, 12753, 616, 711, 8385, 4843, 607, 8454, 269, 769, 971, 2665, 267, 649, 3274, 991, 547, 6460, 519, 2016, 1344, 883, 519, 2953, 5223, 3898, 269, 4495, 649, 723, 519, 5223, 267, 649, 666, 1287, 6460, 621, 883, 513, 6824, 543, 14458, 621, 547, 3489, 519, 3803, 2626, 780, 2690, 1383, 267, 952, 649, 616, 2016, 519, 5223, 540, 476, 273, 281, 274, 281, 278, 585, 16897, 267, 1414, 30235, 267, 543, 18792, 9413, 538, 513, 21576, 267, 543, 649, 616, 4280, 547, 2769, 519, 6824, 540, 16897, 9413, 856, 540, 782, 519, 9413, 267, 649, 1101, 991, 547, 1039, 909, 782, 519, 2418, 538, 519, 5223, 547, 1205, 476, 1321, 269, 3973, 267, 649, 7941, 519, 16897, 7260, 7274, 540, 476, 273, 676, 519, 2698, 5223, 540, 476, 1321, 267, 799, 3947, 721, 513, 6824, 540, 476, 273, 270, 1321, 610, 16866, 607, 476, 272, 270, 277, 780, 1012, 17773, 4934, 540, 513, 19940, 692, 15919, 267, 649, 991, 547, 1265, 519, 5223, 1063, 513, 851, 540, 519, 2698, 5223, 543, 519, 2698, 3294, 269, 769, 971, 3871, 267, 649, 1590, 1039, 782, 519, 2418, 538, 519, 5223, 1354, 11589, 519, 851, 607, 513, 6824, 540, 519, 2698, 269, 1280, 3236, 267, 952, 1079, 14038, 267, 3627, 543, 25562, 267, 2671, 513, 3138, 2378, 540, 3694, 538, 519, 5223, 476, 273, 281, 274, 267, 543, 649, 616, 4280, 547, 1265, 519, 6824, 540, 519, 3694, 602, 25562, 3217, 267, 649, 1101, 1039, 476, 273, 543, 476, 274, 547, 1205, 513, 2698, 540, 476, 276, 269, 3973, 267, 649, 666, 2769, 25562, 781, 2671, 540, 476, 274, 607, 513, 6824, 540, 519, 2698, 5223, 540, 476, 276, 267, 4758, 721, 606, 2626, 540, 476, 274, 270, 276, 780, 3528, 1620, 891, 2035, 267, 649, 666, 3927, 4194, 811, 1950, 2042, 5473, 12753, 607, 8454, 780, 1012, 6201, 540, 13158, 3930, 607, 17773, 692, 288, 1390, 1259, 547, 9787, 519, 1523, 540, 14291, 12753, 547, 8454, 568, 547, 1413, 693, 1806, 269, 2913, 781, 4983, 513, 1906, 2262, 2042, 5473, 12753, 607, 8454, 547, 7794, 938, 1620, 780, 7078, 476, 272, 281, 589, 29221, 2044, 814, 513, 5223, 540, 5186, 1170, 1218 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 1292, 3301, 513, 2582, 1259, 269, 898, 666, 581, 17146, 689, 2780, 547, 581, 2111, 547, 2780, 543, 2709, 519, 1482, 4259, 269, 4033, 982, 602, 267, 972, 568, 1100, 3017, 5473, 3301, 563, 2691, 9236, 2059, 609, 18264, 7815, 267, 972, 568, 15991, 1022, 6476, 2139, 269, 681, 18860, 639, 568, 1634, 547, 1831, 1079, 2053, 607, 3533, 607, 782, 824, 6030, 269, 18264, 7815, 3217, 909, 513, 2603, 811, 3965, 1247, 849, 15877, 538, 4359, 11941, 563, 4462, 564, 321, 2393, 514, 568, 2943, 1586, 1454, 14887, 269, 3958, 267, 621, 568, 22247, 543, 621, 814, 513, 1164, 4960, 540, 18348, 532, 519, 18292, 269, 898, 814, 1100, 796, 13318, 718, 518, 267, 609, 2053, 1133, 564, 321, 2393, 514, 568, 711, 2469, 547, 960, 269, 4475, 2073, 681, 18860, 639, 17993, 538, 713, 4334, 563, 312, 26619, 1223, 581, 6045, 547, 581, 10169, 1732, 6735, 269, 1717, 2073, 2943, 1586, 621, 17514, 538, 6935, 547, 519, 3432, 543, 13418, 269, 6271, 3390, 1131, 581, 602, 519, 772, 9128, 296, 3681, 616, 3136, 547, 538, 1646, 28142, 1018, 596, 666, 798, 609, 519, 3498, 563, 11854, 9037, 18849, 762, 18292, 5137, 454, 1103, 519, 1439, 267, 4986, 568, 2942, 547, 2161, 827, 681, 18860, 639, 269, 1879, 6743, 693, 607, 606, 3003, 267, 621, 568, 513, 7347, 1062, 269, 1280, 1346, 945, 616, 8806, 3843, 547, 723, 513, 2922, 19739, 5308, 3758, 538, 2013, 741, 2780, 26301, 267, 610, 6148, 8190, 513, 3014, 2724, 585, 2182, 2053, 267, 621, 568, 3501, 269, 2271, 2105, 585, 9367, 267, 621, 568, 4998, 1317, 789, 666, 12189, 519, 3009, 799, 8255, 519, 1982, 547, 798, 4010, 1018, 789, 991, 563, 763, 5767, 9283, 547, 519, 3301, 941, 5318, 543, 849, 9867, 267, 855, 6322, 2509, 21338, 2152, 609, 18085, 517, 543, 6908, 23164, 713, 585, 811, 2487, 19371, 9486, 10311, 563, 305, 18860, 639, 645, 2393, 762, 18292, 547, 12305, 29974, 31583, 29933, 269, 476, 6860, 700, 4811, 454, 12606, 532, 621, 519, 29974, 31583, 476, 1240, 269, 476, 6860, 700, 4811, 18869, 12005, 454, 7883, 547, 519, 4013, 3896, 540, 29974, 31583, 693, 4179, 2517, 4178, 269, 889, 31583, 2593, 270, 3842, 1022, 5680, 645, 4900, 518, 269, 1411, 1058, 1294, 519, 1739, 9486, 563, 3086, 4945, 593, 8950, 607, 6825, 538, 519, 13819, 14653, 2630, 563, 9213, 4945, 593, 8281, 29974, 31583, 7735, 607, 11280, 538, 519, 13819, 14653, 896, 563, 3086, 4945, 593, 519, 13560, 4452, 7735, 540, 29974, 31583, 476, 1240, 269, 476, 6860, 700, 4811, 607, 6825, 689, 519, 13819, 14653, 2630, 563, 2791, 1058, 1294, 519, 1739, 2985, 563, 9928, 2651, 1524, 10169, 543, 4945, 593, 2368, 824, 942, 267, 1491, 803, 547, 519, 4647, 607, 6825, 538, 519, 13819, 14653, 2630, 563, 3086, 4945, 593, 3465, 2925, 607, 6825, 1369, 519, 13819, 14653, 2630, 269, 1323, 1367, 4647, 1058, 1376, 563, 296, 810, 1677, 2974, 321, 645, 2393, 762, 5839, 12910, 1400, 454, 1607, 1880, 2656, 1900, 676, 1900, 786, 1397, 596, 875, 547, 1118, 513, 18849, 762, 18292, 6529, 689, 707, 22434, 18869, 3239, 3758, 1210, 606, 5839, 13013, 2473, 563, 6826, 3222, 281, 713, 5650, 3340, 606, 269, 708, 326, 3758, 602, 596, 786, 581, 2838, 547, 1711, 538, 519, 269, 568, 334, 3758, 513, 1268, 4647, 563, 31738, 281, 28463, 1299, 6749, 513, 3758, 689, 4855, 518, 540, 519, 6177, 547, 12910, 1400, 538, 1931, 547, 2048, 335, 4292, 685, 519, 2407, 8905, 1510, 17511, 543, 849, 1981, 532, 1462, 657, 563, 11917, 1555, 519, 5551, 3758, 454, 9359, 519, 12910, 1400, 630, 514, 1315, 21104, 725, 270, 25219, 1988, 270, 610, 2055, 12910, 1400, 538, 20128, 2775, 994, 3519, 3200, 519, 269, 568, 334, 3758, 547, 269, 708, 326, 7311, 519, 6460, 10333, 547, 554, 10972, 583, 559, 912, 327, 10972, 583, 559, 2981, 910, 8971, 772, 11403, 310, 910, 334, 1315, 12949, 270, 1729, 14121, 13759, 269, 708, 326, 1315, 12949, 270, 1729, 4882, 1830, 269, 568, 334, 454, 9616, 281, 20525, 2207, 288, 16249, 4149, 312, 23727, 2473, 11148, 547, 1747, 519, 269, 546, 16936, 10678, 1369, 519, 3977, 3758, 5612, 269, 11412, 877, 519, 1239, 3758, 676, 17511, 912, 332, 341, 1315, 12949, 270, 1729, 14121, 13759, 269, 708, 326, 269, 546, 16936, 1315, 12949, 270, 1729, 14121, 13759, 269, 708, 326, 454, 13480, 12210, 583, 559, 1592, 547, 723, 519, 1699, 1592, 540, 3937, 454, 11900, 1068, 707, 740, 12786, 8755, 2923, 454, 305, 684, 12210, 583, 559, 1592, 1586, 607, 1134, 607, 3313, 519, 3926, 6843, 8655, 547, 707, 740, 12786, 8755, 2923, 630, 324, 269, 575, 269, 1315, 22563, 270, 4134, 330, 273, 994, 305, 684, 12210, 583, 559, 796, 25236, 291, 7416, 1315, 22563, 270, 4134, 330, 301, 630, 516, 2897, 715, 609, 519, 4859, 1297, 689, 519, 2063, 4971, 1107, 538, 519, 2063, 1383, 267, 715, 1131, 581, 476, 273, 994, 2750, 31146, 521, 30186, 546, 323, 952, 284, 270, 12949, 270, 1729, 7933, 5877, 539, 269, 708, 326, 540, 284, 270, 22563, 29265, 4134, 330, 301, 536, 338, 284, 272, 332, 630, 516, 2897, 1315, 12949, 270, 1729, 7933, 5877, 539, 269, 708, 326, 1247, 1210, 2619, 1141, 519, 8666, 3758, 568, 4092, 282, 899, 269, 1315, 889, 31583, 269, 708, 326, 610, 269, 1315, 889, 31583, 269, 546, 16936, 1916, 9616, 281, 4635, 1315, 22563, 29265, 4134, 330, 607, 606, 4244, 547, 1315, 22563, 270, 4134, 330, 949, 581, 18334, 563, 9616, 281, 1403, 596, 2253, 547, 1294, 519, 5470, 546, 323, 281, 1133, 28412, 1297, 2048, 272, 332, 8730, 596, 4755, 547, 581, 1210, 717, 26214, 546, 323, 269, 2422, 519, 1482, 4971, 855, 5372, 536, 338, 284, 272, 332, 609, 536, 338, 284, 272, 300, 563, 9616, 281, 1403, 596, 1294, 519, 12161, 546, 323, 281, 1315, 22563, 270, 4134, 330, 301, 281, 13129, 11112, 267, 1118, 2386, 519, 12210, 568, 711, 538, 946, 269, 2155, 775, 519, 2048, 291, 7416, 15484, 269, 813, 685, 543, 796, 25236, 630, 18484, 1406, 30275, 264, 519, 1880, 5397, 563, 305, 684, 12210, 583, 559, 30275, 1315, 22563, 270, 4134, 330, 301, 543, 4894, 707, 7199, 2923, 950, 519, 4971, 29349, 454, 3086, 519, 1880, 18292, 6529, 568, 4712, 269, 645, 2393, 519, 1770, 602, 596, 1616, 689, 519, 6167, 4353, 8991, 3201, 590, 2207, 24361, 645, 4785, 6529, 269, 0, 300, 9398, 21331, 267, 17039, 5013, 585, 3214, 454, 27242, 11192, 1475, 271, 269, 25396, 13483, 11465, 630, 272, 269, 1556, 5998, 273, 10245, 27242, 8092, 1475, 271, 269, 3607, 275, 13483, 11465, 630, 271, 269, 11463, 5998, 273, 10245, 27242, 4826, 1475, 271, 269, 271, 5780, 13483, 11465, 630, 271, 269, 1704, 5998, 273, 10245, 347, 292, 4582, 566, 1475, 278, 10264, 630, 273, 544, 10245, 27242, 25670, 1475, 26493, 269, 273, 4882, 336, 11465, 630, 14690, 269, 273, 270, 14790, 273, 10245, 347, 11742, 7997, 1475, 23338, 630, 290, 4306, 264, 630, 7473, 290, 268, 277, 10245, 27242, 14400, 630, 291, 4306, 10534, 7374, 307, 630, 7473, 290, 268, 276, 10245, 347, 294, 301, 3041, 4183, 9517, 1475, 28670, 30500, 271, 2008, 300, 9398, 21331, 568, 606, 796, 4532, 2734, 730, 2146, 543, 14829, 17393, 793, 730, 1747, 538, 853, 269, 6276, 3474, 880, 267, 17039, 267, 2136, 2276, 269, 4706, 2551, 729, 476, 3707, 607, 540, 519, 476, 1001, 271, 14829, 269, 634, 2146, 568, 4092, 593, 519, 5045, 4871, 540, 519, 14967, 5211, 563, 6097, 547, 519, 772, 2529, 269, 17227, 13163, 267, 519, 2146, 814, 606, 1858, 540, 476, 271, 269, 25396, 4009, 5195, 630, 272, 269, 1556, 5998, 273, 5148, 476, 271, 269, 3607, 275, 4009, 5195, 630, 271, 269, 11463, 5998, 273, 264, 540, 922, 1858, 568, 2244, 267, 543, 476, 271, 269, 271, 5780, 4009, 5195, 630, 271, 269, 1704, 5998, 273, 264, 568, 1216, 563, 307, 6374, 622, 281, 1805, 269, 6276, 3474, 880, 267, 17039, 454, 300, 9398, 21331, 267, 17039, 12700, 585, 8866, 269, 918, 1497, 15610, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 898, 568, 3989, 607, 519, 5487, 2897, 2981, 540, 519, 3977, 5258, 676, 519, 5487, 2897, 2981, 540, 519, 3403, 267, 14322, 4642, 3355, 2175, 1384, 2330, 295, 4433, 264, 815, 1422, 2765, 346, 299, 28381, 16059, 315, 12453, 299, 28381, 6358, 315, 3686, 815, 1422, 2765, 346, 312, 4433, 20972, 308, 4433, 264, 15732, 3602, 3230, 299, 2330, 18575, 519, 5487, 2897, 2981, 267, 3230, 312, 4433, 14638, 568, 519, 5487, 2897, 2981, 540, 519, 3977, 267, 543, 3230, 308, 4433, 14638, 568, 519, 5487, 2897, 2981, 540, 519, 3403, 780, 9558, 2536, 3252, 616, 6829, 607, 513, 5223, 540, 21335, 538, 3230, 338, 18079, 519, 1950, 5487, 2897, 4756, 269, 634, 5072, 540, 519, 19362, 9971, 616, 1572, 519, 21325, 540, 519, 4483, 1599, 267, 543, 519, 5072, 540, 519, 14009, 9971, 616, 1572, 519, 18635, 780, 2162, 476, 272, 269, 273, 5124, 23905, 585, 6513, 7010, 692, 1103, 5124, 267, 519, 6641, 6853, 5399, 2488, 513, 2647, 2039, 540, 2645, 585, 12572, 6128, 267, 1519, 1852, 1949, 269, 1284, 786, 581, 1210, 519, 2387, 1910, 5404, 344, 19657, 12695, 269, 31553, 319, 9074, 267, 799, 2488, 3252, 585, 2324, 609, 4483, 3252, 543, 1852, 1949, 780, 5575, 267, 1577, 781, 3888, 519, 6641, 6853, 5399, 1210, 10398, 1384, 3499, 7090, 454, 256, 26921, 3888, 1623, 6853, 454, 7884, 9202, 267, 649, 1104, 519, 2556, 13838, 1384, 3499, 7090, 454, 5228, 1623, 6853, 269, 29582, 1104, 521, 454, 5228, 1623, 6853, 19657, 12695, 269, 31553, 269, 2741, 328, 1104, 18734, 31262, 454, 5228, 1623, 6853, 19657, 12695, 269, 31553, 269, 31553, 318, 30831, 1104, 19856, 318, 24978, 318, 7120, 454, 7884, 763, 2387, 1910, 5404, 344, 269, 29582, 319, 9074, 2488, 12572, 4632, 267, 971, 607, 2387, 338, 319, 585, 519, 5487, 2897, 4756, 269, 634, 2387, 9558, 2536, 31262, 319, 1362, 568, 1031, 547, 1711, 513, 4483, 1599, 1843, 267, 543, 519, 2387, 1090, 335, 318, 24978, 318, 7120, 319, 1599, 568, 1031, 547, 4729, 519, 3210, 540, 513, 1062, 547, 513, 19856, 3403, 780, 2162, 476, 272, 269, 274, 12861, 513, 18734, 9577, 692, 4131, 781, 1711, 513, 4483, 1599, 585, 513, 2241, 1062, 1384, 2330, 295, 4433, 264, 815, 1422, 2765, 346, 338, 2410, 263, 338, 266, 275, 7565, 338, 266, 279, 264, 15732, 1607, 4483, 1599, 814, 1079, 18635, 267, 693, 3230, 338, 815, 910, 275, 2330, 543, 3230, 338, 815, 910, 279, 18079, 543, 835, 4642, 693, 3230, 338, 815, 476, 271, 29634, 2171, 666, 1711, 713, 4483, 1599, 538, 5124, 1210, 519, 2387, 9558, 2536, 31262, 319, 1362, 1384, 3499, 7090, 454, 339, 325, 272, 815, 18734, 31262, 4433, 267, 630, 338, 266, 275, 31618, 338, 266, 279, 1070, 521, 994, 7884, 763, 1101, 4661, 568, 519, 19362, 9971, 267, 519, 2034, 568, 519, 14009, 9971, 267, 543, 519, 3791, 568, 519, 3403, 4756, 267, 2387, 338, 27471, 2162, 476, 272, 269, 275, 18140, 1154, 519, 15863, 692, 3086, 602, 649, 723, 2813, 513, 4483, 1599, 267, 649, 666, 4729, 922, 3210, 547, 513, 19856, 3403, 1210, 519, 2387, 1090, 335, 318, 24978, 318, 7120, 319, 1599, 1384, 3499, 7090, 454, 1090, 335, 318, 24978, 318, 7120, 6025, 325, 272, 267, 5580, 318, 3916, 527, 284, 273, 264, 567, 1948, 11705, 652, 281, 1341, 306, 298, 7709, 454, 7884, 763, 2387, 21639, 318, 3916, 527, 319, 9936, 11887, 519, 942, 2039, 540, 519, 4729, 780, 1607, 4729, 2982, 519, 3210, 540, 519, 1062, 547, 513, 19856, 3403, 267, 799, 568, 513, 5365, 602, 4679, 31085, 609, 942, 269, 634, 3210, 540, 519, 1062, 568, 519, 3977, 5365, 267, 799, 568, 513, 1599, 540, 519, 3403, 5365, 543, 519, 4483, 1599, 780, 1103, 519, 1985, 3184, 267, 649, 786, 2263, 519, 1523, 540, 18635, 543, 21325, 538, 811, 1469, 543, 1451, 875, 547, 946, 873, 547, 5659, 519, 6617, 543, 2773, 540, 1852, 1949, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5228, 1623, 6853, 269, 29582, 1104, 521, 1477, 5228, 1623, 6853, 19657, 12695, 269, 31553, 269, 2741, 328, 1104, 18734, 31262, 1477, 5228, 1623, 6853, 19657, 12695, 269, 31553, 269, 31553, 318, 30831, 1104, 19856, 318, 24978, 318, 7120, 1477, 339, 325, 272, 815, 18734, 31262, 4433, 267, 630, 338, 266, 275, 31618, 338, 266, 279, 1070, 521, 3418, 1090, 335, 318, 24978, 318, 7120, 6025, 325, 272, 267, 5580, 318, 3916, 527, 284, 273, 264, 567, 1948, 11705, 652, 281, 1341, 306, 298, 7709, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 1012, 17877, 7732, 543, 4706, 12793, 692, 763, 17877, 5399, 568, 513, 3532, 1907, 585, 3621, 7384, 538, 5124, 269, 898, 2488, 1489, 585, 513, 2647, 2039, 540, 29782, 971, 607, 6310, 543, 9266, 4238, 593, 14249, 267, 5276, 7223, 267, 4351, 1297, 5108, 267, 543, 1454, 811, 269, 769, 713, 3296, 267, 649, 786, 2263, 930, 540, 519, 3252, 3177, 676, 17877, 267, 12077, 267, 2387, 338, 1511, 339, 868, 3890, 12452, 2387, 2903, 339, 868, 3890, 12452, 543, 2387, 2102, 5228, 339, 868, 13237, 780, 2162, 30540, 1488, 7590, 547, 7956, 28567, 609, 2387, 338, 1511, 339, 868, 13237, 692, 763, 2387, 338, 1511, 339, 868, 13237, 1599, 2636, 596, 547, 4688, 606, 5044, 547, 513, 1257, 3758, 538, 513, 9138, 3898, 269, 634, 16105, 585, 713, 1599, 568, 607, 5205, 912, 3499, 7090, 454, 31596, 4732, 1511, 339, 868, 6600, 4067, 267, 2473, 267, 535, 31198, 8782, 10065, 1240, 324, 3299, 1642, 574, 3438, 8782, 22207, 1007, 1467, 8782, 315, 333, 3299, 20927, 8782, 3299, 3723, 518, 8782, 3299, 8292, 8782, 258, 30386, 8199, 2080, 267, 2387, 325, 4067, 319, 568, 519, 2012, 540, 519, 3758, 630, 320, 5569, 264, 610, 513, 3758, 6438, 1843, 1141, 519, 1239, 786, 581, 10710, 269, 2387, 311, 319, 568, 519, 5044, 5627, 519, 1239, 547, 581, 10710, 269, 634, 2387, 325, 31198, 319, 9936, 568, 1031, 547, 14574, 519, 3898, 540, 519, 1239, 267, 543, 621, 9949, 338, 547, 1412, 10065, 1240, 324, 8339, 634, 2387, 23437, 574, 3438, 12452, 2387, 2908, 1467, 12452, 2387, 3650, 518, 12452, 2387, 20584, 518, 12452, 543, 2387, 1260, 906, 319, 6724, 616, 1031, 547, 1852, 519, 11249, 540, 519, 3977, 1257, 3758, 780, 4131, 781, 1413, 693, 606, 1383, 540, 1210, 2387, 338, 1511, 339, 868, 13237, 547, 4688, 1614, 14249, 267, 2387, 343, 12452, 2387, 344, 12452, 543, 2387, 339, 15640, 12452, 547, 1257, 6119, 912, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 12639, 4732, 1511, 339, 868, 5560, 597, 4067, 1341, 4396, 1341, 1412, 318, 343, 17902, 3299, 1535, 267, 535, 31198, 8782, 260, 328, 3299, 20927, 8782, 2005, 655, 19715, 19336, 1535, 281, 5073, 12639, 4732, 1511, 339, 868, 5560, 597, 4067, 1341, 4396, 1341, 1412, 318, 344, 17902, 3299, 586, 267, 535, 31198, 8782, 260, 328, 3299, 20927, 8782, 289, 1231, 13242, 19336, 586, 281, 5073, 12639, 4732, 1511, 339, 868, 5560, 597, 4067, 1341, 4396, 1341, 1412, 318, 339, 15640, 17902, 3299, 512, 15640, 267, 535, 31198, 8782, 260, 294, 3299, 20927, 8782, 11742, 540, 645, 1231, 13242, 19336, 512, 15640, 281, 5073, 8199, 1103, 713, 1383, 267, 649, 616, 9494, 519, 2387, 343, 319, 5044, 547, 513, 3758, 3957, 2387, 338, 13521, 13448, 17902, 12452, 519, 2387, 344, 319, 5044, 547, 513, 3758, 3957, 2387, 338, 13521, 14729, 17902, 12452, 543, 519, 2387, 339, 15640, 319, 5044, 547, 513, 3758, 3957, 2387, 338, 13521, 4671, 15640, 17902, 18269, 634, 1239, 568, 10710, 538, 8870, 3898, 630, 319, 260, 328, 319, 264, 585, 519, 2387, 343, 319, 543, 2387, 344, 319, 14249, 543, 538, 2489, 3898, 630, 319, 260, 294, 319, 264, 585, 519, 2387, 339, 15640, 319, 5044, 269, 634, 20927, 585, 1142, 3758, 568, 9138, 1210, 519, 2387, 3650, 518, 319, 9936, 780, 2162, 20509, 532, 1488, 7590, 689, 7956, 28567, 609, 2387, 2903, 339, 868, 13237, 543, 2387, 2102, 5228, 339, 868, 13237, 692, 19617, 13695, 2488, 1079, 3252, 585, 15205, 14249, 689, 1257, 6119, 281, 2387, 2903, 339, 868, 13237, 543, 2387, 2102, 5228, 339, 868, 13237, 269, 634, 2387, 2903, 339, 868, 13237, 1599, 568, 513, 2241, 543, 3608, 1259, 547, 4452, 1239, 689, 513, 1257, 3758, 267, 1247, 519, 2387, 2102, 5228, 339, 868, 13237, 1599, 2488, 811, 8112, 543, 1852, 936, 519, 15205, 1184, 780, 763, 16105, 585, 2387, 2903, 339, 868, 13237, 568, 607, 5205, 912, 3499, 7090, 454, 31596, 269, 2903, 339, 868, 6600, 4067, 267, 546, 6943, 284, 283, 6943, 1412, 15615, 262, 285, 267, 8292, 8782, 258, 3299, 1642, 574, 3438, 22561, 267, 4780, 1562, 22561, 267, 18178, 4900, 284, 271, 267, 946, 3712, 338, 22561, 267, 10002, 871, 25716, 267, 26998, 2381, 284, 271, 994, 8199, 2080, 267, 2387, 325, 4067, 319, 568, 519, 2012, 540, 519, 3758, 630, 320, 5569, 264, 610, 513, 3758, 6438, 1843, 5627, 519, 1239, 547, 581, 16041, 269, 634, 2387, 323, 6943, 319, 9936, 568, 1031, 547, 14574, 519, 1239, 1826, 540, 519, 5044, 267, 543, 621, 9949, 338, 547, 2387, 15615, 18269, 634, 2387, 1260, 906, 12452, 2387, 23437, 574, 3438, 12452, 2387, 935, 591, 1562, 12452, 2387, 12921, 760, 4900, 12452, 2387, 2224, 3712, 338, 12452, 2387, 684, 17569, 12452, 543, 2387, 526, 2381, 319, 6724, 616, 1031, 547, 1852, 519, 15205, 1184, 780, 763, 2387, 2102, 5228, 339, 868, 13237, 1599, 814, 513, 2147, 16105, 547, 2387, 2903, 339, 868, 3890, 12452, 855, 621, 2488, 3606, 6724, 585, 811, 1852, 936, 519, 15205, 1184, 269, 1280, 1383, 267, 519, 2387, 332, 1170, 532, 28767, 319, 9936, 2636, 596, 547, 14574, 875, 7508, 2418, 1058, 581, 17411, 267, 543, 519, 2387, 325, 3739, 28767, 319, 9936, 2636, 596, 547, 14574, 875, 7508, 2418, 1058, 581, 4904, 780, 4131, 781, 1413, 693, 606, 1383, 540, 1210, 2387, 2903, 339, 868, 13237, 547, 4452, 519, 2387, 343, 319, 5044, 689, 519, 2387, 338, 13521, 13448, 17902, 319, 3758, 912, 3499, 7090, 454, 343, 815, 5286, 269, 2903, 339, 868, 5560, 597, 4067, 1341, 4396, 1341, 1412, 318, 343, 17902, 3299, 546, 6943, 25507, 994, 8199, 1103, 713, 1383, 267, 649, 616, 15205, 519, 2387, 343, 319, 5044, 689, 519, 2387, 338, 13521, 13448, 17902, 319, 3758, 543, 28408, 602, 519, 1239, 1826, 1058, 581, 2387, 842, 27471, 2162, 6744, 532, 585, 631, 1143, 520, 2583, 538, 8827, 4223, 4631, 692, 1103, 713, 3296, 267, 649, 786, 2263, 513, 1599, 1572, 2387, 13765, 845, 1143, 2255, 13237, 602, 11974, 585, 25314, 520, 2583, 538, 3070, 14290, 269, 901, 1599, 3217, 513, 3070, 1843, 607, 3403, 543, 7024, 513, 1630, 18978, 1871, 10834, 2436, 972, 568, 513, 25314, 2255, 1063, 519, 2387, 343, 319, 5119, 543, 519, 4756, 3259, 6041, 630, 309, 28384, 264, 540, 519, 3070, 780, 763, 2387, 343, 319, 5119, 568, 513, 9352, 5119, 602, 4564, 519, 4087, 540, 3688, 538, 513, 1305, 540, 25510, 269, 634, 966, 28384, 568, 513, 1592, 540, 8638, 602, 4564, 519, 1482, 1344, 267, 855, 538, 513, 1114, 3898, 269, 3962, 6418, 1592, 538, 519, 966, 28384, 14687, 547, 513, 10822, 267, 543, 519, 2609, 540, 519, 6418, 1592, 2099, 519, 3688, 538, 602, 10822, 780, 763, 2387, 13765, 845, 1143, 2255, 13237, 1599, 1568, 676, 12055, 908, 936, 519, 966, 28384, 543, 10992, 2436, 519, 7222, 2609, 538, 519, 2387, 343, 319, 5119, 616, 3160, 547, 476, 272, 269, 1403, 1022, 540, 519, 2609, 616, 711, 3160, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3086, 267, 4605, 3054, 4730, 513, 3381, 3014, 1141, 596, 991, 547, 4194, 13410, 1369, 544, 30769, 269, 1879, 5185, 609, 2789, 3681, 267, 596, 1522, 2119, 1114, 11507, 1354, 4466, 519, 2953, 2619, 4464, 269, 1403, 596, 7237, 9465, 2059, 519, 1259, 267, 789, 949, 2333, 707, 2295, 2557, 610, 2014, 17140, 1107, 2147, 17915, 4810, 1282, 14221, 8090, 780, 19950, 5944, 2614, 267, 3173, 723, 6594, 891, 2833, 547, 1174, 952, 8026, 971, 2238, 666, 1764, 938, 2702, 547, 11883, 609, 4160, 269, 1358, 1336, 602, 4730, 1978, 2010, 540, 3756, 5280, 2569, 4160, 2589, 936, 942, 269, 901, 3085, 1405, 1611, 602, 11080, 568, 513, 10826, 585, 4160, 267, 855, 2864, 8711, 875, 3384, 2994, 585, 21365, 1950, 3871, 630, 3697, 6061, 544, 30769, 14386, 666, 14377, 883, 5883, 4101, 4664, 780, 3383, 1018, 1281, 782, 713, 1611, 585, 721, 607, 6267, 286, 4270, 267, 1985, 942, 596, 1265, 3054, 12758, 538, 513, 14165, 673, 28618, 1765, 31347, 621, 781, 23115, 856, 513, 9157, 2979, 1966, 610, 7231, 609, 1514, 21500, 1765, 339, 820, 513, 4090, 547, 2992, 593, 707, 2219, 1184, 269, 1548, 3268, 723, 596, 3144, 865, 2484, 286, 3657, 972, 1022, 4244, 4485, 596, 10093, 1405, 2808, 2943, 286, 1635, 8026, 2565, 3206, 543, 13916, 1369, 11295, 5054, 899, 544, 30769, 267, 649, 1831, 1732, 9280, 547, 6023, 1272, 781, 20437, 2591, 780, 2414, 2259, 891, 1983, 267, 649, 786, 3391, 596, 998, 1585, 4760, 12987, 543, 2238, 1759, 1472, 28618, 9010, 7653, 269, 1452, 5751, 2832, 547, 6536, 1582, 18221, 267, 6043, 267, 543, 3860, 1966, 9010, 5759, 269, 5457, 267, 3025, 781, 3460, 568, 2189, 267, 1175, 899, 1142, 28618, 814, 922, 1378, 11768, 269, 22737, 519, 7045, 543, 2972, 12423, 1007, 2081, 547, 6330, 998, 2591, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3849, 3421, 1417, 4160, 568, 27676, 267, 519, 1034, 4749, 8995, 15730, 2790, 1072, 1966, 267, 543, 5012, 547, 8101, 1279, 3856, 2042, 269, 589, 19747, 6417, 4693, 630, 333, 815, 476, 15946, 264, 729, 5342, 547, 1449, 519, 7145, 540, 513, 6915, 12890, 3724, 3381, 3014, 630, 2710, 14765, 264, 585, 10708, 609, 11506, 2157, 540, 4160, 269, 20390, 30105, 630, 1556, 1700, 1428, 1296, 2025, 264, 941, 14477, 8655, 547, 1404, 1684, 14765, 610, 513, 1852, 3014, 630, 305, 599, 2006, 476, 273, 281, 634, 4279, 18521, 1901, 1040, 19461, 9584, 585, 4160, 729, 2944, 593, 476, 272, 267, 31003, 10708, 538, 2947, 1164, 3506, 282, 1152, 10708, 945, 20639, 1657, 519, 968, 520, 16151, 892, 2759, 11325, 593, 519, 1975, 775, 5753, 17520, 11752, 941, 14718, 269, 20390, 30105, 685, 4160, 2157, 941, 12290, 693, 840, 23150, 267, 2022, 23150, 267, 543, 693, 1614, 3923, 1246, 5346, 547, 4983, 519, 6708, 547, 799, 4730, 1684, 14765, 8519, 10708, 685, 4160, 269, 634, 1459, 1353, 7000, 3160, 9283, 538, 4160, 2589, 538, 1312, 2175, 693, 1246, 5346, 543, 1100, 3604, 1063, 1684, 14765, 543, 519, 5702, 20083, 1852, 3014, 2783, 269, 4678, 550, 2208, 7455, 3631, 1705, 7866, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 10270, 14572, 14484, 687, 257, 607, 851, 540, 834, 294, 4456, 2464, 1299, 8028, 2316, 9654, 25765, 1315, 2871, 3660, 4260, 11594, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 6052, 8889, 543, 5131, 11780, 13531, 906, 692, 7072, 692, 763, 1648, 5823, 568, 513, 2565, 5057, 540, 1022, 2413, 4346, 267, 3246, 519, 1379, 2556, 585, 4853, 2504, 267, 6283, 267, 543, 4948, 1272, 269, 1306, 971, 267, 1648, 3609, 4249, 513, 1713, 1909, 538, 5935, 519, 2872, 781, 5251, 543, 4180, 922, 1279, 3856, 6940, 269, 2290, 2460, 540, 1648, 3609, 602, 814, 21959, 1229, 9645, 3007, 538, 2487, 1296, 568, 519, 2078, 1063, 1863, 4123, 11650, 630, 10499, 2026, 264, 543, 519, 1648, 5823, 269, 769, 713, 3184, 267, 649, 5490, 883, 519, 14960, 540, 713, 2078, 543, 2263, 875, 674, 307, 2026, 666, 1764, 1648, 6990, 267, 5777, 267, 543, 4507, 269, 1284, 2253, 676, 6313, 519, 2956, 540, 1648, 3609, 543, 1287, 1847, 593, 547, 1865, 519, 1523, 540, 674, 307, 2026, 267, 741, 1761, 2640, 543, 19363, 267, 543, 519, 1808, 2013, 540, 674, 307, 2026, 538, 519, 1648, 5823, 780, 4089, 476, 272, 281, 4197, 6052, 8889, 692, 272, 269, 272, 9502, 543, 11957, 692, 4263, 922, 4295, 267, 1648, 3609, 4016, 547, 519, 1305, 540, 4031, 267, 6042, 267, 543, 4808, 3964, 676, 6608, 547, 4383, 519, 1646, 267, 2504, 267, 3892, 267, 543, 4616, 540, 1648, 2200, 1369, 741, 22875, 269, 1452, 4507, 2832, 547, 3666, 1585, 6859, 267, 1519, 1648, 3354, 267, 26622, 267, 2825, 4027, 267, 543, 2804, 2208, 269, 9717, 519, 24245, 3310, 540, 1648, 593, 782, 3344, 540, 2486, 267, 621, 568, 1898, 547, 1174, 519, 10848, 540, 1648, 3609, 543, 922, 6286, 585, 4213, 267, 6800, 267, 543, 519, 6626, 4346, 780, 272, 269, 273, 6206, 22020, 540, 6052, 8889, 692, 15703, 1883, 3334, 13822, 513, 1134, 25454, 1648, 3609, 267, 1519, 1384, 320, 264, 12754, 14305, 281, 5463, 2888, 3823, 519, 6099, 3575, 540, 1648, 2959, 630, 324, 3052, 1421, 8093, 10173, 267, 6046, 267, 5710, 1963, 264, 1759, 593, 2188, 971, 607, 8244, 267, 1942, 267, 543, 2825, 5222, 563, 321, 264, 10369, 7939, 281, 21474, 2966, 547, 2327, 4023, 6735, 267, 2061, 2344, 12879, 267, 543, 2149, 7082, 4690, 563, 322, 264, 24486, 1646, 281, 7767, 906, 538, 5989, 3785, 267, 971, 607, 27983, 267, 6771, 3515, 267, 543, 4859, 6703, 267, 2838, 547, 1489, 3608, 543, 6325, 1648, 1949, 563, 323, 264, 3194, 543, 5647, 281, 8081, 585, 1382, 543, 1646, 7341, 6322, 693, 14027, 15777, 267, 811, 3608, 267, 543, 10097, 1648, 4066, 563, 324, 264, 4139, 9316, 281, 21664, 609, 824, 2477, 547, 2232, 3838, 1648, 2591, 267, 971, 607, 2916, 1689, 267, 4199, 22930, 267, 543, 1648, 6710, 780, 4089, 476, 273, 281, 1323, 11137, 540, 5131, 11780, 13531, 906, 692, 273, 269, 272, 9502, 543, 20505, 692, 10403, 4123, 11650, 616, 3486, 21308, 2966, 547, 2569, 7496, 547, 4123, 543, 5092, 1851, 10283, 2477, 269, 1635, 14874, 29388, 267, 9889, 553, 267, 543, 824, 9993, 267, 674, 307, 2026, 3343, 547, 3895, 1954, 518, 3350, 540, 5370, 267, 2533, 267, 3854, 267, 543, 4074, 2066, 10665, 269, 11086, 267, 891, 11650, 2832, 547, 6536, 2804, 2208, 267, 2816, 5137, 267, 543, 28211, 1247, 7393, 6237, 5610, 543, 6617, 780, 273, 269, 273, 15783, 11588, 543, 8571, 10587, 692, 10499, 2026, 2709, 1896, 1761, 2640, 267, 1519, 2799, 4398, 267, 2539, 3790, 267, 4824, 1569, 547, 4914, 6990, 267, 543, 8476, 9431, 25843, 269, 1717, 267, 972, 616, 849, 4145, 827, 2009, 2942, 4539, 267, 971, 607, 2816, 9271, 1813, 547, 16080, 25703, 267, 4389, 2229, 8907, 267, 543, 21022, 3609, 2230, 585, 13197, 6469, 14422, 269, 5516, 995, 7156, 540, 1312, 1761, 5383, 543, 11393, 568, 2629, 950, 10442, 519, 26350, 540, 1367, 674, 307, 2026, 780, 4089, 476, 274, 281, 674, 307, 2026, 538, 519, 6052, 30359, 692, 274, 269, 272, 21929, 324, 585, 26451, 6052, 3038, 2888, 538, 674, 307, 2026, 692, 11693, 519, 7580, 4644, 540, 1648, 2200, 267, 1082, 4207, 674, 307, 2026, 6451, 14074, 4481, 13389, 519, 1648, 5823, 269, 6270, 14074, 949, 3382, 2127, 971, 607, 2344, 1569, 267, 5092, 20038, 267, 2930, 4441, 267, 543, 15539, 6571, 6127, 269, 634, 24117, 585, 1519, 1648, 5829, 21291, 538, 674, 307, 2026, 2882, 1384, 320, 264, 24046, 1648, 3354, 998, 4129, 1881, 7727, 543, 11507, 3248, 321, 264, 16842, 3255, 585, 1648, 18666, 543, 9541, 3248, 322, 264, 15053, 517, 1436, 540, 9431, 10850, 543, 2930, 4441, 3248, 323, 264, 8871, 10056, 540, 4264, 1648, 2853, 543, 1970, 28003, 4066, 780, 274, 269, 273, 8865, 5530, 281, 634, 18043, 9483, 543, 11780, 15716, 630, 4753, 14011, 264, 9737, 4516, 543, 519, 3864, 5742, 692, 3080, 8037, 1383, 540, 606, 674, 14011, 609, 8101, 1648, 5829, 14074, 568, 519, 18043, 9483, 543, 11780, 15716, 630, 4753, 14011, 264, 1063, 4516, 543, 519, 3864, 5742, 269, 595, 4953, 288, 6663, 547, 7794, 2804, 13218, 1063, 519, 1079, 4525, 676, 4227, 4123, 7496, 267, 14123, 3444, 31215, 9541, 267, 543, 5009, 9431, 19427, 269, 2060, 2463, 547, 1648, 267, 595, 4953, 288, 2882, 11271, 593, 4123, 538, 1648, 2472, 543, 6151, 2326, 267, 5092, 267, 2930, 7496, 547, 4123, 267, 543, 4264, 1646, 269, 3414, 891, 14074, 267, 595, 4953, 288, 11394, 547, 3986, 24845, 1648, 4123, 267, 4482, 9167, 9541, 538, 4516, 781, 1648, 5823, 267, 5447, 2930, 4441, 267, 543, 5000, 519, 10073, 540, 13476, 7874, 2853, 780, 6962, 692, 1103, 3932, 267, 1648, 3609, 4249, 513, 11358, 1909, 538, 5935, 519, 1648, 5823, 781, 18330, 543, 5466, 10296, 2591, 2404, 609, 4199, 2359, 267, 2825, 19642, 267, 543, 2804, 13884, 269, 5131, 4123, 11650, 267, 3226, 1346, 5627, 6131, 1648, 5829, 14074, 267, 666, 3648, 3310, 1648, 6990, 267, 5777, 267, 543, 4507, 269, 589, 13857, 1620, 540, 519, 16799, 1063, 1648, 3609, 543, 674, 307, 2026, 568, 3976, 16832, 585, 1870, 3401, 267, 14519, 267, 543, 5640, 5275, 547, 6330, 519, 6422, 543, 5051, 7471, 2518, 1648, 5251, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 568, 513, 2250, 3390, 540, 519, 3557, 540, 11780, 269, 1280, 519, 5767, 267, 5225, 1224, 3557, 540, 11780, 476, 1708, 274, 281, 32213, 11780, 563, 13750, 540, 11780, 476, 1708, 273, 281, 634, 11588, 540, 5131, 11780, 13531, 906, 454, 8368, 540, 9115, 454, 268, 24606, 689, 519, 10579, 454, 268, 15445, 5758, 454, 268, 3487, 476, 272, 281, 476, 1708, 272, 538, 2689, 454, 268, 3487, 476, 273, 281, 634, 2640, 540, 1863, 4123, 11650, 454, 300, 20687, 689, 519, 10579, 454, 296, 9364, 899, 547, 6338, 519, 476, 1708, 273, 3557, 540, 11780, 593, 15773, 540, 519, 6554, 540, 4516, 563, 1607, 1867, 8711, 4516, 781, 7347, 4123, 543, 5092, 6051, 267, 799, 814, 10268, 7415, 6043, 1282, 1776, 4101, 1032, 269, 901, 1032, 781, 1867, 6212, 593, 1863, 4123, 11650, 267, 799, 786, 3136, 547, 581, 4105, 2645, 585, 8225, 4213, 607, 789, 4283, 713, 1007, 5123, 540, 519, 2022, 1790, 663, 2438, 6051, 563, 8310, 1032, 729, 11212, 1271, 585, 23671, 22924, 729, 513, 1032, 540, 2804, 6051, 8015, 513, 2518, 6855, 269, 24371, 5185, 16854, 2591, 267, 8151, 689, 29169, 2504, 543, 3761, 5832, 21463, 547, 4028, 10593, 538, 3747, 543, 11506, 20161, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21328, 8889, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 24322, 1315, 6052, 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, 769, 513, 14297, 4884, 4904, 609, 10761, 543, 1750, 619, 267, 5030, 513, 1920, 540, 2185, 1107, 589, 675, 331, 1014, 267, 25455, 267, 7812, 267, 543, 28120, 269, 1809, 789, 14201, 1405, 707, 8723, 1920, 282, 789, 941, 4583, 22617, 6840, 256, 4256, 19033, 267, 589, 675, 331, 1014, 18947, 267, 610, 834, 294, 686, 3960, 569, 8055, 2437, 607, 646, 729, 23816, 569, 1572, 538, 519, 8258, 267, 6026, 873, 1169, 1847, 543, 3180, 269, 654, 6135, 1782, 7012, 1405, 1152, 741, 17612, 267, 621, 729, 18955, 883, 741, 5027, 780, 3080, 13566, 12784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 606, 15865, 11064, 1472, 1142, 4552, 14788, 267, 31364, 873, 689, 1164, 5210, 543, 4227, 1761, 3441, 269, 8528, 3721, 476, 275, 281, 17797, 23994, 22353, 454, 18933, 3558, 593, 707, 21619, 517, 5794, 342, 1905, 543, 3442, 519, 3579, 8929, 7154, 630, 604, 2139, 264, 610, 519, 9803, 2837, 4259, 269, 1306, 5018, 4505, 267, 2094, 649, 2811, 7231, 609, 3819, 4552, 1934, 267, 1447, 3002, 568, 2838, 607, 3379, 547, 18908, 1782, 14927, 4552, 780, 3721, 476, 276, 281, 8791, 2659, 22458, 454, 19667, 728, 707, 4552, 883, 19242, 6810, 910, 2356, 713, 1131, 1611, 1283, 267, 1647, 267, 543, 5377, 6106, 269, 24344, 891, 6810, 609, 24056, 6028, 835, 1863, 585, 18908, 1782, 269, 9540, 518, 6810, 1118, 585, 811, 5730, 18908, 1782, 2164, 780, 3721, 476, 277, 281, 10670, 853, 344, 1782, 2060, 2776, 8619, 1081, 454, 310, 1905, 513, 1507, 3296, 540, 4552, 1472, 519, 6074, 13613, 9900, 855, 16119, 269, 2920, 10675, 25312, 676, 10296, 519, 1412, 517, 262, 7735, 269, 14190, 519, 3926, 547, 798, 922, 2816, 2394, 596, 1745, 9543, 4187, 2679, 909, 282, 1287, 1847, 5196, 519, 1985, 3296, 1510, 17444, 1932, 2182, 269, 3683, 12879, 949, 1291, 547, 2003, 3960, 1465, 543, 11979, 19221, 780, 3721, 476, 278, 281, 19244, 6713, 19402, 9045, 529, 30829, 454, 25594, 5153, 476, 277, 2066, 782, 6810, 11489, 596, 1205, 707, 5551, 1413, 269, 11408, 2327, 596, 1463, 519, 25312, 1524, 2072, 2509, 519, 7475, 547, 2057, 4929, 11991, 11508, 3056, 547, 8237, 7475, 543, 2003, 3960, 780, 3721, 476, 279, 281, 15937, 29110, 2583, 1299, 15346, 13560, 454, 5629, 2944, 267, 1577, 707, 18908, 1194, 4552, 3579, 1524, 4625, 269, 12019, 2011, 5036, 519, 688, 1009, 1803, 1732, 543, 8591, 3063, 3180, 269, 5685, 880, 1055, 609, 930, 4552, 4944, 2001, 610, 16796, 585, 3773, 17953, 543, 15325, 780, 7659, 9669, 912, 476, 476, 272, 269, 5213, 1405, 19060, 519, 1184, 269, 6875, 707, 942, 547, 2057, 23986, 908, 1978, 2127, 540, 707, 4552, 563, 476, 476, 273, 269, 5901, 4657, 8846, 1247, 28277, 4552, 1472, 519, 22902, 547, 1711, 10690, 6329, 3079, 540, 9395, 8258, 7410, 563, 476, 476, 274, 269, 8617, 5826, 11974, 543, 7738, 540, 707, 21619, 517, 5794, 342, 1905, 786, 10804, 922, 14438, 543, 2773, 4398, 780, 6962, 912, 306, 1399, 1782, 3819, 4552, 609, 519, 21619, 517, 5794, 342, 1905, 1522, 1491, 930, 2259, 7620, 267, 2523, 952, 596, 4312, 1152, 2479, 1031, 2757, 12699, 2645, 899, 2786, 22211, 610, 1225, 6840, 269, 1809, 2899, 27058, 267, 713, 4480, 3091, 513, 10930, 4244, 547, 6671, 2409, 5009, 8766, 3441, 543, 5021, 19542, 269, 8414, 18908, 1782, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 4692, 1411, 2422, 519, 21619, 517, 5794, 342, 1905, 593, 16959, 22458, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 7689, 7170, 281, 24531, 24238, 543, 18639, 609, 570, 520, 344, 3570, 27804, 5633, 692, 5970, 596, 2479, 5433, 14129, 856, 610, 16397, 286, 5620, 596, 8068, 875, 2182, 621, 666, 581, 547, 1445, 593, 707, 6780, 950, 707, 2247, 568, 17040, 609, 4555, 827, 824, 1919, 286, 3776, 4703, 543, 8186, 991, 942, 547, 6001, 543, 22507, 865, 602, 649, 666, 581, 938, 1655, 30441, 269, 2334, 781, 1141, 11009, 543, 10649, 2097, 538, 2439, 21790, 6888, 1797, 9878, 3007, 547, 519, 1459, 4090, 1510, 10385, 269, 898, 2337, 721, 1831, 811, 3222, 540, 938, 4555, 267, 4606, 267, 543, 15629, 17915, 269, 1879, 649, 2259, 11009, 267, 649, 1451, 547, 7747, 891, 2833, 2864, 982, 2746, 547, 873, 8850, 269, 901, 666, 948, 2569, 2566, 543, 4160, 267, 2087, 5834, 267, 543, 1256, 5818, 938, 7099, 2439, 312, 7541, 568, 513, 1826, 540, 3635, 602, 10905, 2168, 2022, 999, 267, 7244, 2553, 267, 543, 9066, 269, 1635, 8026, 10649, 267, 649, 7794, 938, 6091, 267, 2333, 8112, 267, 543, 9350, 938, 8186, 269, 3509, 1004, 1265, 602, 10649, 1264, 906, 741, 11009, 2259, 1317, 1312, 2238, 3895, 11005, 267, 1445, 267, 543, 1582, 18221, 780, 3086, 1577, 781, 2743, 570, 520, 344, 3570, 27804, 5633, 267, 513, 3158, 540, 1079, 8695, 945, 4362, 519, 1379, 540, 11009, 543, 10649, 9887, 269, 2991, 2324, 607, 606, 6375, 6048, 538, 519, 14453, 2872, 267, 570, 520, 344, 3570, 4956, 547, 1246, 1200, 6612, 543, 1930, 513, 10649, 18638, 1572, 15346, 3805, 18639, 538, 11785, 269, 4653, 267, 1352, 11414, 10649, 543, 9066, 5049, 547, 4079, 543, 3214, 7567, 780, 3080, 2601, 1946, 570, 520, 344, 3570, 14560, 4687, 11009, 543, 10649, 609, 1866, 568, 602, 789, 5280, 1200, 1831, 513, 1732, 2385, 269, 1879, 1352, 7959, 14129, 610, 21616, 267, 1352, 3217, 513, 1906, 8090, 547, 13236, 7184, 543, 1921, 609, 1200, 1560, 269, 901, 2636, 1200, 547, 4431, 24617, 3079, 540, 32232, 791, 6160, 1947, 269, 9578, 267, 3450, 1200, 14930, 827, 11009, 7512, 873, 547, 1020, 2635, 6208, 1932, 2439, 2791, 1522, 4898, 875, 596, 666, 1376, 8026, 11009, 543, 10649, 269, 589, 1390, 1259, 547, 2253, 568, 676, 4466, 513, 9602, 2230, 1141, 596, 4465, 1405, 581, 22841, 269, 1411, 1223, 1694, 20354, 593, 513, 31289, 610, 9114, 1524, 593, 513, 1319, 269, 19171, 707, 4064, 543, 1491, 513, 2620, 7362, 538, 998, 707, 9224, 267, 11423, 909, 707, 9641, 4625, 269, 3973, 7444, 17938, 1446, 998, 707, 5023, 267, 16089, 1022, 8082, 610, 9636, 269, 19244, 713, 1184, 1896, 2053, 267, 2519, 1152, 593, 707, 7362, 780, 2414, 2119, 930, 2241, 10649, 13514, 267, 2638, 856, 2228, 2200, 899, 13334, 7044, 1500, 4481, 585, 14987, 610, 3214, 269, 2368, 2653, 13514, 547, 1376, 609, 1331, 7823, 10460, 630, 9227, 7381, 609, 707, 3952, 12048, 2914, 5954, 6306, 1070, 3529, 10460, 630, 4472, 3496, 593, 835, 3723, 1247, 11093, 519, 6852, 540, 707, 824, 3723, 593, 707, 6418, 25427, 1070, 543, 1126, 781, 10460, 630, 330, 928, 9934, 593, 519, 6989, 609, 707, 30432, 16889, 593, 707, 3946, 1040, 5457, 2141, 547, 6432, 547, 707, 1560, 543, 2760, 7903, 3054, 3564, 707, 7182, 780, 3528, 6220, 11009, 543, 10649, 883, 707, 3232, 6296, 267, 596, 949, 5469, 2318, 2242, 538, 707, 1272, 1175, 899, 570, 520, 344, 3570, 1705, 269, 3502, 1152, 786, 596, 1831, 6793, 9308, 267, 855, 596, 3513, 849, 11349, 2790, 9355, 267, 3929, 6043, 267, 543, 2949, 1134, 5630, 269, 1924, 2285, 621, 513, 8929, 910, 945, 6487, 286, 9320, 596, 3513, 3605, 707, 1378, 2648, 585, 11009, 543, 10649, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7069, 14568, 19405, 1107, 24238, 585, 14268, 609, 570, 520, 344, 3570, 27804, 5633, 630, 22977, 28964, 476, 4350, 994, 2710, 596, 1745, 596, 616, 2731, 8204, 519, 1655, 4528, 540, 945, 596, 616, 286, 3657, 596, 8220, 547, 707, 1920, 689, 513, 1747, 540, 20106, 267, 6616, 596, 616, 2921, 1416, 540, 3054, 2059, 519, 1259, 286, 3657, 596, 4259, 519, 1383, 585, 11009, 543, 1582, 13282, 602, 596, 1616, 707, 1453, 547, 900, 3634, 888, 11900, 18944, 676, 10649, 2866, 543, 676, 1200, 1079, 8695, 267, 15446, 328, 570, 520, 344, 3570, 27804, 5633, 2451, 1200, 4876, 538, 519, 14453, 2872, 607, 606, 16332, 6048, 547, 1071, 1922, 895, 15346, 3805, 18639, 538, 15588, 1467, 543, 538, 519, 11785, 3162, 7736, 269, 594, 2893, 1524, 609, 570, 520, 344, 3570, 543, 14437, 827, 1200, 3460, 998, 11009, 543, 782, 1352, 814, 547, 1489, 596, 538, 707, 3460, 563, 2080, 568, 938, 2407, 3381, 5967, 269, 2107, 267, 10544, 519, 8711, 540, 1018, 649, 5941, 538, 519, 5816, 2630, 2336, 8005, 568, 570, 520, 344, 3570, 27804, 5633, 888, 307, 520, 344, 3570, 568, 513, 544, 4821, 547, 1079, 8695, 267, 2085, 476, 280, 543, 476, 1724, 269, 2701, 2729, 538, 11785, 1631, 267, 1310, 4947, 689, 519, 12907, 936, 476, 1789, 1296, 3516, 269, 2701, 8255, 513, 10649, 18638, 543, 11414, 10649, 543, 9066, 5049, 563, 2026, 513, 11705, 334, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7982, 950, 594, 729, 606, 4702, 2875, 267, 594, 1185, 2141, 1044, 19832, 676, 1164, 18286, 14884, 543, 741, 6946, 6272, 269, 3733, 13395, 1719, 3366, 803, 547, 6443, 513, 1895, 540, 2203, 16456, 12439, 945, 6068, 512, 1074, 1359, 609, 20538, 8747, 540, 891, 2261, 12069, 540, 2413, 6283, 269, 1284, 1131, 6108, 3108, 7234, 1169, 8792, 1469, 540, 938, 3631, 910, 689, 7098, 17871, 9224, 25862, 547, 10853, 20022, 1949, 269, 898, 7012, 1405, 1175, 827, 2679, 11442, 14884, 282, 621, 729, 827, 19825, 519, 1148, 543, 2257, 3297, 873, 780, 3080, 1554, 267, 938, 2199, 16749, 9754, 9307, 513, 6735, 585, 2203, 5721, 9858, 269, 634, 4161, 729, 547, 1711, 513, 6198, 1164, 18286, 5721, 2203, 602, 1223, 2196, 12347, 593, 513, 24441, 3950, 11768, 269, 901, 729, 606, 4316, 594, 7948, 1405, 1780, 909, 256, 594, 4956, 547, 4019, 782, 519, 3741, 594, 4121, 538, 1362, 1107, 7098, 19392, 267, 3106, 267, 4313, 267, 6617, 267, 1379, 543, 4398, 267, 3950, 1374, 267, 5826, 267, 543, 1425, 6005, 269, 9741, 1705, 594, 917, 267, 972, 1131, 581, 606, 6397, 4729, 6335, 7996, 585, 803, 2059, 519, 1259, 780, 296, 3323, 2324, 29367, 593, 1250, 2203, 267, 2519, 593, 1142, 3815, 23939, 269, 1280, 7098, 19392, 267, 594, 9380, 539, 513, 31933, 1560, 7387, 1210, 10036, 543, 7318, 1585, 5546, 538, 513, 19471, 2842, 15993, 630, 320, 2462, 688, 2273, 787, 518, 6322, 693, 513, 21312, 4216, 1040, 8881, 2934, 3769, 6419, 4172, 680, 619, 585, 5150, 4296, 1063, 1286, 17699, 543, 2688, 13402, 29424, 619, 547, 2061, 3441, 1282, 21611, 269, 1677, 2327, 18213, 4313, 267, 594, 8704, 24302, 16845, 16295, 543, 1256, 3773, 28253, 8654, 3330, 519, 6263, 735, 25902, 780, 1805, 1464, 4255, 941, 5342, 676, 11093, 519, 2203, 593, 14251, 908, 5867, 1500, 689, 2025, 3635, 3937, 269, 594, 849, 11368, 3532, 4686, 3618, 22197, 607, 851, 540, 519, 5397, 1062, 585, 5021, 4398, 269, 1306, 585, 3950, 1374, 267, 594, 6594, 4890, 23039, 29251, 540, 1164, 18286, 7841, 1811, 1472, 519, 1158, 543, 556, 6088, 2147, 14258, 543, 27080, 538, 1250, 1378, 20538, 4528, 269, 7053, 267, 6236, 5826, 543, 1425, 6005, 267, 594, 1031, 14463, 2326, 543, 24458, 602, 1367, 3334, 1223, 3362, 581, 8719, 952, 2877, 780, 5475, 4374, 540, 2182, 960, 267, 1250, 2203, 729, 4712, 585, 4152, 269, 2311, 519, 6735, 267, 621, 5340, 24215, 1134, 2394, 1945, 9490, 5949, 1107, 519, 5721, 3459, 24373, 3423, 1836, 1310, 8757, 922, 1283, 3432, 269, 10658, 3960, 1194, 267, 594, 32357, 547, 2638, 519, 1239, 2845, 7970, 7923, 547, 519, 2203, 269, 2334, 781, 950, 594, 4362, 519, 27521, 281, 7555, 6329, 3361, 676, 519, 2189, 4999, 540, 20078, 2137, 538, 519, 1449, 3950, 780, 9617, 899, 875, 3280, 666, 1106, 7555, 6329, 538, 513, 7574, 6293, 267, 4929, 16982, 267, 1250, 5721, 4810, 513, 2147, 7613, 1813, 547, 519, 1808, 12451, 6383, 676, 922, 5163, 593, 519, 3950, 269, 7464, 1944, 713, 267, 594, 5433, 1312, 17204, 543, 17938, 1791, 730, 269, 4347, 324, 730, 1317, 1250, 6382, 3501, 5137, 8959, 1813, 547, 27644, 6381, 855, 17938, 1791, 730, 6616, 602, 594, 16686, 2390, 971, 513, 4241, 1523, 780, 1103, 24794, 1051, 267, 713, 1995, 6026, 803, 3407, 4245, 3564, 2930, 3344, 269, 17616, 267, 1100, 2339, 875, 9488, 707, 4058, 568, 267, 596, 949, 1869, 7237, 20437, 2591, 269, 19627, 267, 891, 2591, 1419, 1291, 547, 8906, 543, 1565, 3255, 602, 1118, 519, 3460, 26656, 269, 1656, 2063, 569, 267, 4687, 891, 2833, 1369, 513, 2146, 2337, 721, 1332, 1927, 267, 5807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1451, 875, 547, 6023, 873, 1732, 563, 290, 4321, 15515, 24173, 3797, 630, 30274, 994, 290, 4321, 15515, 24173, 3797, 630, 30274, 264, 2337, 1004, 1174, 519, 4276, 1063, 741, 4555, 267, 4606, 267, 543, 3527, 269, 21835, 832, 948, 7218, 5544, 2942, 3206, 602, 5012, 547, 13798, 8817, 3527, 543, 4001, 873, 1732, 2081, 547, 2746, 547, 4101, 3871, 610, 12153, 563, 21615, 571, 1424, 16508, 11106, 454, 3891, 2718, 5956, 676, 18167, 2620, 883, 835, 779, 3929, 4295, 267, 9301, 543, 14344, 519, 15398, 12823, 543, 32370, 269, 898, 3322, 16460, 519, 7096, 2243, 267, 968, 25585, 993, 594, 865, 3929, 9495, 543, 2324, 2509, 3384, 513, 7059, 3929, 1533, 563, 12892, 9012, 5489, 2135, 454, 763, 3460, 547, 2736, 1863, 689, 13798, 2570, 1890, 1419, 3340, 513, 1974, 540, 1151, 3363, 543, 1582, 26190, 269, 769, 713, 3059, 2085, 267, 26865, 13951, 689, 519, 5691, 6846, 568, 4105, 269, 4804, 1946, 1514, 2923, 666, 581, 6757, 11226, 538, 2870, 513, 2230, 1141, 1582, 22523, 543, 7067, 666, 8853, 563, 4504, 21526, 543, 16508, 25085, 618, 454, 29248, 1077, 532, 519, 2247, 543, 14637, 7214, 1072, 568, 513, 1883, 5057, 547, 8840, 1863, 689, 13798, 2570, 1890, 269, 12056, 538, 2238, 602, 6536, 7214, 1072, 666, 19671, 835, 779, 3961, 3564, 519, 32604, 540, 21341, 267, 5807, 1582, 3146, 18910, 543, 6015, 563, 19465, 4591, 2065, 25682, 454, 3891, 2718, 689, 13798, 2570, 1890, 568, 811, 982, 606, 3929, 3460, 282, 621, 13315, 513, 2698, 1134, 5630, 1935, 269, 898, 779, 827, 10747, 1018, 621, 1797, 547, 581, 5963, 2635, 267, 6220, 2168, 267, 2790, 267, 543, 5289, 2609, 547, 585, 613, 513, 7059, 267, 4830, 1582, 563, 11754, 7675, 4400, 9577, 532, 17520, 454, 290, 617, 2570, 1890, 568, 1419, 5532, 609, 5817, 4160, 2152, 269, 1133, 30584, 1782, 543, 5466, 1164, 8647, 4160, 2488, 513, 13374, 547, 10970, 11868, 519, 12503, 602, 4492, 13798, 8817, 5615, 563, 20236, 6953, 27626, 7734, 543, 8081, 20492, 454, 30509, 689, 1367, 3797, 267, 972, 616, 1082, 2200, 547, 948, 1004, 23232, 689, 13798, 2570, 1890, 269, 1452, 1331, 1582, 25298, 2835, 543, 1489, 2516, 899, 26467, 2570, 757, 32088, 630, 10870, 6395, 1070, 1325, 268, 2304, 517, 270, 2704, 622, 523, 267, 543, 1866, 269, 9504, 3081, 891, 2516, 2709, 2922, 4025, 547, 2671, 2984, 543, 1683, 5363, 2326, 543, 5717, 593, 23232, 689, 13798, 2570, 1890, 563, 2005, 949, 1491, 930, 942, 547, 9156, 689, 13798, 2570, 1890, 267, 855, 621, 568, 1271, 547, 1445, 593, 811, 982, 16069, 519, 3983, 5615, 269, 898, 568, 849, 1898, 547, 1020, 2635, 3347, 3710, 593, 3972, 543, 2463, 563, 26045, 1072, 4648, 666, 948, 609, 3972, 2042, 543, 4001, 875, 547, 1305, 1434, 6302, 538, 3347, 269, 901, 2882, 1620, 543, 3024, 532, 707, 1378, 543, 1866, 685, 4606, 543, 7182, 269, 1635, 1565, 1434, 2792, 267, 1004, 666, 1628, 2178, 3347, 1510, 31362, 741, 1134, 5630, 563, 290, 617, 2570, 1890, 568, 513, 3978, 3390, 602, 5540, 513, 1268, 779, 3347, 267, 3006, 8380, 873, 538, 19408, 3871, 269, 1403, 2576, 2982, 4191, 540, 1373, 13798, 8817, 267, 789, 1058, 3343, 948, 269, 2060, 1697, 3797, 543, 1489, 267, 789, 666, 1205, 1732, 543, 723, 1434, 3347, 609, 2933, 543, 1866, 563, 9989, 26467, 2570, 1890, 17451, 3619, 589, 3118, 888, 8133, 267, 13798, 2570, 1890, 666, 581, 7307, 543, 5555, 7753, 609, 519, 1318, 3797, 267, 1489, 267, 543, 1582, 13282, 269, 18401, 568, 513, 1184, 602, 949, 1491, 930, 942, 543, 4674, 267, 855, 621, 786, 581, 4502, 621, 538, 519, 1439, 269, 2060, 513, 11215, 13309, 610, 1895, 547, 948, 596, 998, 267, 596, 666, 1451, 519, 1983, 547, 2697, 543, 4383, 13798, 8817, 2623, 563, 1432, 2052, 594, 1684, 1677, 6435, 25126, 5808, 1772, 26467, 8817, 888, 9359, 676, 6029, 873, 8296, 543, 1620, 269, 11559, 873, 547, 3343, 948, 543, 1489, 267, 971, 607, 3797, 610, 513, 1489, 1895, 267, 543, 1577, 873, 917, 602, 596, 616, 972, 585, 873, 269, 18964, 2635, 5615, 267, 971, 607, 1582, 13282, 543, 10465, 1606, 23293, 267, 666, 849, 581, 6225, 563, 1432, 568, 26467, 2570, 1890, 888, 296, 297, 290, 2207, 281, 10289, 519, 3955, 2452, 1063, 3131, 325, 1254, 1143, 543, 26467, 2570, 1890, 281, 24167, 519, 2405, 11868, 10020, 540, 519, 2677, 790, 585, 4317, 10088, 1998, 454, 14976, 572, 22609, 281, 5369, 6248, 16544, 540, 519, 15349, 4813, 540, 26467, 2570, 1890, 10495, 15484, 454, 29819, 540, 26467, 2570, 1890, 454, 16158, 13270, 281, 20050, 540, 26467, 2570, 1890, 454, 414, 504, 510, 20804, 11514, 25068, 281, 634, 1344, 3177, 593, 713, 1072, 5816, 568, 585, 21141, 5301, 1152, 543, 568, 711, 5497, 607, 513, 12990, 585, 3318, 2564, 5796, 267, 5868, 267, 610, 2126, 269, 11408, 3343, 519, 5796, 540, 707, 10629, 610, 824, 11727, 1072, 8502, 609, 1022, 2055, 596, 949, 723, 3823, 513, 2564, 2783, 269, 0, 24246, 21419, 1756, 2480, 1905, 454, 307, 11939, 1756, 2480, 1905, 630, 307, 328, 264, 21419, 1756, 543, 922, 23212, 723, 1336, 513, 2647, 2039, 540, 3156, 267, 1519, 23825, 267, 24118, 543, 3114, 6080, 1317, 540, 519, 4999, 540, 1164, 7344, 543, 14809, 4187, 543, 1970, 5860, 269, 2311, 519, 1482, 942, 267, 2298, 540, 676, 1790, 20094, 267, 971, 607, 23621, 13863, 5833, 538, 20619, 1505, 814, 849, 1044, 2810, 693, 513, 3728, 2557, 267, 855, 4066, 585, 519, 9657, 540, 891, 2472, 568, 3908, 1317, 540, 519, 2534, 693, 1164, 2837, 543, 1942, 540, 1184, 563, 347, 339, 11939, 1756, 6656, 6676, 454, 347, 17129, 300, 645, 25228, 30680, 674, 5392, 272, 272, 30680, 674, 6858, 30680, 674, 15793, 454, 347, 263, 271, 269, 274, 9625, 274, 269, 271, 264, 6398, 630, 6110, 9625, 1911, 271, 264, 6398, 18016, 476, 4968, 271, 454, 263, 271, 269, 272, 349, 271, 269, 274, 264, 6398, 630, 1911, 9625, 4335, 264, 6398, 299, 454, 263, 271, 269, 6349, 349, 271, 269, 272, 264, 6398, 630, 2004, 349, 4968, 264, 6398, 299, 454, 347, 13510, 2747, 267, 32522, 267, 8891, 10635, 8707, 267, 11633, 267, 16811, 5663, 267, 6481, 267, 14825, 9394, 607, 1134, 5026, 454, 19064, 565, 5109, 267, 606, 617, 1944, 267, 12511, 15098, 454, 18871, 10998, 4234, 515, 267, 18981, 17819, 3684, 267, 20619, 4099, 454, 272, 269, 8899, 25670, 543, 4400, 10410, 2305, 23848, 454, 15650, 1315, 24110, 454, 17843, 2010, 1315, 9344, 540, 24489, 16150, 602, 616, 13381, 547, 9156, 6986, 24489, 616, 2016, 538, 519, 3349, 2630, 24121, 23277, 12089, 21419, 1756, 3752, 1749, 454, 347, 2005, 5161, 540, 2973, 15044, 24489, 4396, 16150, 563, 347, 1103, 2882, 2973, 15044, 24489, 20836, 902, 610, 2490, 902, 563, 347, 2005, 13408, 540, 1028, 9285, 2220, 21807, 543, 24489, 22016, 563, 347, 1607, 3446, 540, 24489, 16150, 5161, 540, 4401, 12547, 2326, 563, 30106, 11939, 1756, 1975, 21789, 1315, 1763, 573, 1132, 454, 347, 2005, 5161, 540, 1028, 9285, 24489, 538, 513, 26703, 1106, 563, 347, 8448, 21419, 1756, 2480, 1905, 454, 347, 1607, 3446, 5161, 540, 782, 824, 24489, 29578, 602, 616, 711, 2016, 538, 713, 1592, 563, 347, 14585, 12509, 4187, 267, 1648, 9494, 454, 347, 5471, 718, 17790, 16345, 676, 18202, 454, 16085, 13645, 267, 18471, 10421, 0, 303, 559, 919, 568, 12021, 585, 922, 2168, 2640, 267, 971, 607, 5355, 4887, 4222, 267, 8112, 267, 543, 14302, 269, 1717, 267, 2487, 1382, 5267, 602, 15815, 919, 666, 849, 723, 513, 7096, 1764, 593, 938, 2790, 1072, 269, 9478, 15815, 919, 267, 519, 17082, 540, 713, 3635, 1505, 267, 5156, 538, 519, 2673, 4276, 1063, 2168, 543, 2790, 1134, 5630, 269, 1635, 2519, 593, 12972, 267, 1852, 267, 7244, 267, 543, 5834, 267, 15815, 919, 711, 1152, 10597, 938, 2168, 8516, 855, 849, 2640, 938, 2790, 1072, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1585, 2081, 538, 799, 15815, 919, 666, 9797, 3310, 938, 2790, 1134, 5630, 563, 21790, 6888, 538, 11873, 281, 4498, 1145, 532, 519, 5295, 540, 22165, 327, 454, 3080, 540, 519, 4909, 3741, 540, 15815, 919, 568, 519, 13345, 540, 7362, 1282, 5751, 269, 9478, 15815, 919, 6444, 519, 4644, 540, 7362, 538, 22196, 519, 2247, 543, 5009, 2790, 1134, 5630, 269, 3962, 15815, 919, 3635, 16621, 1808, 7244, 3270, 267, 7393, 519, 7145, 540, 519, 5322, 543, 23478, 5135, 547, 519, 6091, 269, 1635, 28068, 938, 1445, 27808, 543, 8220, 609, 938, 7362, 267, 15815, 919, 2337, 721, 3251, 1459, 267, 7303, 938, 8186, 689, 29595, 547, 16297, 532, 4555, 610, 32370, 269, 901, 11009, 538, 3350, 5252, 919, 513, 2631, 540, 22471, 1006, 543, 2636, 721, 547, 4628, 1995, 519, 17915, 538, 938, 4703, 563, 29590, 5004, 543, 4039, 1314, 566, 281, 15531, 18696, 454, 1103, 2221, 779, 3728, 19550, 543, 17173, 1158, 267, 4466, 2500, 2081, 547, 4383, 2566, 568, 2629, 585, 938, 2790, 1134, 5630, 269, 15815, 919, 666, 4196, 607, 513, 3407, 1907, 538, 2566, 5786, 543, 11005, 269, 1879, 649, 4497, 538, 2168, 3635, 267, 1519, 15815, 919, 267, 938, 4703, 5305, 1439, 6973, 1231, 267, 1419, 5219, 547, 607, 968, 10623, 601, 3766, 797, 892, 6464, 267, 799, 6923, 5818, 938, 7099, 269, 3958, 267, 15815, 919, 10607, 938, 2702, 547, 4431, 547, 2566, 543, 10597, 938, 2566, 6043, 269, 1635, 3246, 513, 30411, 689, 2942, 4555, 543, 5009, 11009, 267, 15815, 919, 5932, 513, 2230, 585, 721, 547, 5305, 2566, 543, 1445, 593, 1582, 13282, 563, 290, 4321, 28389, 618, 281, 5295, 532, 5455, 2659, 11020, 454, 8777, 1645, 538, 2168, 3635, 602, 3340, 1312, 519, 1560, 543, 2247, 666, 723, 1713, 2640, 585, 938, 5042, 8647, 269, 9521, 12747, 3029, 540, 3635, 267, 15815, 919, 7569, 3742, 6278, 540, 519, 2634, 269, 4804, 1007, 5751, 610, 12381, 2591, 938, 8186, 267, 5355, 5042, 1983, 543, 5329, 938, 12058, 7722, 269, 5015, 267, 3635, 4679, 1973, 2095, 547, 519, 2634, 267, 17306, 922, 1599, 269, 898, 8992, 519, 2208, 540, 11409, 267, 10597, 32239, 2534, 267, 543, 18791, 519, 4296, 1063, 8229, 2281, 269, 1452, 2360, 3565, 547, 4824, 3965, 267, 2634, 4027, 1996, 5945, 543, 2068, 267, 543, 2949, 5042, 19349, 563, 288, 4575, 12870, 543, 17520, 281, 15531, 28057, 543, 25085, 618, 454, 12831, 1833, 543, 4160, 4713, 1860, 6634, 540, 1004, 5001, 267, 543, 4466, 2500, 2126, 3681, 568, 2629, 269, 2755, 3318, 2564, 948, 1058, 2141, 581, 8179, 267, 15815, 919, 666, 581, 513, 3407, 9148, 547, 2757, 11257, 269, 15815, 919, 3091, 606, 4316, 585, 23462, 267, 4657, 519, 2157, 540, 6464, 538, 519, 2634, 267, 3246, 513, 30411, 689, 2942, 4555, 267, 543, 7393, 11009, 269, 1635, 2502, 538, 15815, 919, 267, 2043, 609, 4965, 610, 4160, 949, 1995, 513, 2631, 540, 16882, 543, 4824, 1134, 5630, 269, 634, 2247, 23073, 4276, 27838, 676, 15815, 919, 666, 3565, 547, 513, 11455, 1935, 547, 5883, 891, 2790, 1072, 2175, 563, 16498, 11314, 543, 10076, 2657, 281, 634, 17583, 454, 6524, 18167, 4514, 883, 519, 2790, 1072, 2640, 540, 15815, 919, 267, 621, 568, 1271, 547, 5431, 519, 6626, 9756, 1063, 2168, 2534, 543, 2790, 1134, 5630, 269, 12056, 538, 2834, 3635, 814, 1044, 9846, 5532, 547, 4824, 2790, 1072, 4093, 269, 8447, 2534, 267, 1519, 15815, 919, 267, 666, 2569, 2566, 267, 4160, 267, 543, 4965, 267, 1247, 7393, 2949, 7099, 269, 634, 5305, 540, 1439, 6973, 1231, 267, 519, 6454, 540, 3207, 2298, 267, 543, 519, 2631, 540, 22920, 2404, 609, 3635, 782, 3565, 547, 891, 2318, 2360, 269, 1635, 26724, 938, 2168, 1072, 267, 649, 666, 9797, 1764, 938, 2790, 1134, 5630, 607, 1134, 563, 763, 5295, 540, 10312, 281, 1744, 17369, 2287, 2659, 9650, 454, 2691, 8026, 15815, 919, 267, 519, 4101, 2470, 540, 519, 13514, 543, 5751, 3762, 2370, 4055, 585, 19240, 269, 769, 1931, 547, 14892, 1142, 3350, 7157, 267, 1445, 568, 1898, 269, 1635, 23622, 593, 519, 5528, 689, 519, 14357, 543, 519, 17915, 538, 938, 4703, 267, 649, 11349, 513, 15398, 2631, 540, 1445, 269, 901, 2702, 547, 3251, 1459, 543, 5059, 1282, 513, 15815, 919, 1362, 666, 8831, 3564, 519, 18638, 267, 7393, 938, 2702, 547, 13404, 538, 824, 2127, 540, 1272, 269, 634, 2259, 540, 4509, 1445, 538, 15815, 919, 3587, 513, 4483, 762, 5578, 602, 666, 4324, 938, 2790, 9355, 543, 7607, 563, 290, 738, 22899, 513, 15474, 5900, 3363, 281, 634, 15815, 919, 6356, 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 ]
[ 7099, 6993, 4135, 2873, 4436, 269, 1677, 1689, 519, 2296, 4845, 834, 763, 7911, 25001, 519, 3440, 257, 547, 519, 23827, 894, 7099, 269, 649, 7696, 519, 25961, 8231, 834, 323, 3996, 257, 1354, 834, 24742, 1701, 10678, 609, 269, 634, 23827, 894, 7099, 12134, 513, 2243, 269, 634, 7911, 4249, 13558, 563, 1492, 2262, 1931, 568, 281, 3955, 337, 269, 1520, 14620, 32040, 13595, 8629, 269, 3040, 834, 8967, 1408, 339, 3541, 9947, 613, 17540, 29967, 4252, 8119, 6496, 519, 7911, 1404, 13558, 1411, 723, 4121, 1079, 2055, 865, 2484, 281, 834, 310, 773, 646, 328, 29967, 339, 269, 10678, 909, 609, 269, 8119, 543, 834, 310, 773, 2520, 6255, 781, 286, 2668, 763, 1184, 568, 1360, 2147, 538, 4436, 269, 2201, 11728, 269, 519, 7911, 5129, 13558, 907, 2094, 4436, 13450, 2769, 1312, 519, 2241, 543, 11636, 3344, 269, 2047, 12261, 269, 596, 666, 2322, 606, 23827, 894, 30163, 269, 519, 8231, 2141, 2501, 2034, 538, 519, 4845, 1862, 769, 4436, 269, 1717, 269, 286, 2668, 10371, 649, 6467, 519, 2898, 8231, 609, 519, 1641, 907, 1280, 1383, 281, 3040, 2782, 636, 838, 1408, 339, 3541, 9947, 613, 17540, 29967, 4252, 286, 4208, 1281, 519, 7911, 1404, 13558, 286, 1411, 1058, 4063, 693, 713, 1448, 602, 538, 4436, 269, 2334, 568, 1946, 621, 1281, 711, 2270, 12984, 269, 972, 616, 1079, 2596, 2081, 547, 1106, 513, 2243, 269, 683, 514, 6606, 1862, 596, 1058, 917, 519, 1913, 585, 834, 13433, 2668, 1797, 834, 1692, 568, 1547, 4436, 18500, 3040, 654, 773, 1261, 328, 29967, 339, 5918, 286, 5999, 3040, 17793, 2102, 2296, 4436, 5808, 286, 654, 518, 286, 1548, 286, 12984, 286, 7316, 286, 654, 334, 286, 1879, 286, 654, 2335, 286, 4208, 286, 2782, 636, 286, 1215, 286, 654, 773, 286, 634, 2243, 834, 310, 773, 646, 328, 29967, 339, 269, 795, 320, 543, 834, 7224, 2668, 1280, 1383, 281, 3040, 14216, 9947, 613, 838, 1408, 974, 993, 8053, 698, 17540, 29967, 4252, 269, 634, 7911, 5129, 13558, 593, 11728, 269, 769, 1840, 547, 713, 269, 4849, 538, 519, 2013, 540, 513, 2243, 607, 4330, 1657, 269, 3040, 2549, 8053, 698, 838, 1408, 974, 3541, 9947, 613, 17540, 29967, 4252, 269, 634, 1641, 568, 2141, 1985, 547, 519, 8231, 269, 2311, 713, 1448, 269, 1452, 1913, 2097, 1101, 538, 519, 4845, 907, 1572, 286, 2668, 634, 1101, 568, 519, 1505, 4330, 1657, 269, 952, 711, 538, 4395, 540, 621, 1287, 1739, 621, 563, 2414, 1353, 585, 602, 269, 1411, 786, 849, 723, 547, 917, 519, 4930, 540, 1978, 17205, 269, 634, 1449, 786, 723, 2185, 2694, 547, 621, 281, 18049, 630, 1240, 2798, 1040, 1411, 1205, 476, 2764, 2296, 1913, 593, 519, 2451, 543, 476, 2764, 4436, 1913, 593, 519, 1318, 269, 543, 581, 2111, 547, 1491, 513, 4436, 5188, 543, 14377, 621, 1394, 883, 2296, 269, 634, 2063, 3296, 568, 513, 6863, 3296, 269, 2334, 568, 519, 2898, 1449, 269, 634, 25927, 908, 3296, 568, 4502, 519, 1034, 2798, 2593, 269, 543, 581, 4280, 547, 6474, 873, 269, 25927, 908, 630, 4097, 2798, 1040, 634, 3791, 3296, 269, 1411, 1590, 917, 519, 16627, 585, 5220, 543, 2453, 2469, 689, 2296, 547, 4436, 269, 1411, 786, 1205, 1079, 19929, 543, 581, 4280, 547, 6445, 538, 519, 1025, 3471, 585, 891, 269, 568, 782, 19130, 2987, 7308, 5174, 331, 1678, 269, 865, 1118, 2386, 596, 917, 891, 269, 4905, 3040, 654, 773, 1261, 328, 29967, 339, 5918, 286, 2661, 4528, 3040, 4901, 3040, 5751, 3040, 1449, 3040, 12575, 3992, 3040, 6085, 3040, 1867, 606, 5470, 3040, 2307, 513, 2243, 1547, 543, 621, 1932, 814, 1079, 6810, 269, 543, 18500, 630, 736, 2798, 1040, 6875, 621, 256, 7249, 17894, 593, 11264, 7689, 476, 272, 269, 634, 18049, 3296, 786, 1449, 707, 2702, 547, 31669, 13450, 2016, 519, 31208, 1438, 543, 519, 1641, 269, 979, 1934, 269, 7335, 24366, 23130, 781, 2201, 519, 4530, 1677, 979, 2786, 547, 519, 3992, 1449, 269, 7335, 24366, 630, 2764, 2798, 1040, 2368, 540, 519, 23698, 2694, 4308, 609, 519, 26250, 902, 269, 538, 602, 1931, 269, 2638, 856, 519, 476, 10170, 15460, 1644, 547, 713, 3992, 693, 18044, 15258, 2750, 4219, 563, 300, 778, 560, 5918, 22505, 269, 654, 597, 9383, 747, 286, 594, 577, 838, 773, 548, 17540, 29967, 4252, 19804, 26927, 328, 269, 6349, 3040, 6154, 1125, 527, 15511, 4436, 15511, 3040, 6154, 1125, 527, 11846, 543, 942, 3040, 22505, 3768, 14858, 527, 8065, 334, 2529, 1254, 476, 272, 269, 13983, 3279, 256, 654, 773, 838, 24477, 568, 339, 1965, 286, 10507, 568, 339, 19274, 1068, 601, 642, 528, 26927, 328, 269, 17540, 29967, 4252, 2577, 339, 32623, 1975, 320, 29967, 256, 645, 529, 546, 2335, 269, 13983, 3279, 286, 3026, 514, 269, 476, 747, 10822, 3655, 592, 269, 4905, 9625, 18786, 8672, 7689, 476, 272, 269, 654, 1221, 518, 572, 1156, 256, 2661, 4528, 4901, 5751, 1449, 1449, 4267, 12575, 3992, 6085, 1867, 606, 5470, 2307, 513, 2243, 30686, 13983, 3279, 30686, 13983, 3279, 30686, 13983, 3279, 30686, 11846, 543, 11242, 4436, 18500, 3040, 6154, 1125, 527, 11846, 543, 2238, 3040, 22505, 3768, 13019, 339, 643, 527, 7564, 1084, 2296, 4436, 7328, 4433, 264, 22505, 4690, 20122, 321, 903, 13558, 17540, 29967, 4252, 1977, 11176, 25624, 2019, 28380, 5292, 28380, 14912, 31336, 4252, 17281, 570, 12447, 13836, 28473, 476, 280, 1790, 514, 6367, 1782, 918, 1122, 601, 333, 21802, 5576, 778, 4604, 3014, 546, 553, 645, 4958, 1206, 335, 1408, 3014, 546, 553, 1975, 1408, 6780, 670, 9476, 31348, 326, 629, 523, 8613, 22513, 572, 1156, 7260, 3541, 17912, 1547, 594, 577, 2520, 515, 15191, 345, 339, 562, 778, 670, 1021, 563, 23389, 32040, 3040, 6154, 1125, 527, 1230, 24503, 566, 3040, 23951, 24503, 566, 7327, 983, 1101, 1268, 476, 747, 910, 324, 530, 597, 2034, 1268, 5918, 910, 560, 1775, 15590, 2144, 910, 339, 3791, 1268, 20146, 910, 339, 20146, 1965, 910, 339, 1773, 1116, 910, 523, 910, 339, 910, 523, 1280, 1383, 2529, 335, 1408, 523, 269, 2705, 1034, 13450, 616, 2834, 13450, 543, 713, 568, 17788, 566, 540, 873, 269, 4436, 32040, 3040, 6154, 1125, 527, 547, 1404, 3040, 838, 1408, 523, 7327, 983, 1773, 1116, 1101, 1268, 476, 747, 838, 773, 548, 530, 597, 838, 1408, 523, 2034, 1268, 5918, 838, 1408, 560, 1775, 15590, 838, 1408, 339, 2144, 838, 1408, 339, 3791, 1268, 20146, 838, 1408, 339, 20146, 838, 1408, 523, 1965, 838, 1408, 339, 4436, 32040, 3040, 6154, 1125, 527, 547, 798, 8276, 820, 3040, 5672, 1156, 7327, 983, 1773, 1116, 1101, 1268, 476, 747, 5672, 515, 530, 597, 5672, 1156, 2034, 1268, 5918, 2577, 560, 1775, 15590, 2577, 339, 2144, 2577, 339, 3791, 1268, 20146, 2577, 339, 20146, 5672, 1156, 1965, 2577, 339, 1547, 519, 13450, 838, 1408, 523, 543, 5672, 1156, 269, 5839, 1156, 543, 4033, 7638, 2125, 2353, 1614, 13450, 602, 596, 941, 5189, 547, 538, 7689, 476, 272, 616, 12150, 538, 930, 1259, 563, 1892, 2782, 636, 838, 1408, 560, 5918, 28473, 286, 4208, 798, 596, 1404, 13836, 286, 3040, 654, 518, 11058, 670, 9476, 31348, 326, 629, 523, 286, 5808, 814, 6780, 286, 1677, 2161, 834, 2254, 2668, 769, 2296, 835, 4249, 513, 7328, 269, 1284, 1810, 1405, 1404, 17281, 269, 1411, 666, 849, 946, 519, 530, 2914, 3581, 689, 7689, 476, 272, 547, 1118, 930, 811, 10659, 269, 3040, 8210, 2577, 339, 670, 9476, 31348, 326, 629, 523, 269, 1547, 834, 301, 32218, 257, 4422, 1310, 519, 8231, 855, 1354, 519, 7328, 269, 3040, 654, 518, 838, 1408, 339, 562, 32218, 17540, 29967, 4252, 286, 5808, 3085, 1405, 1404, 13558, 286, 3040, 654, 597, 838, 1408, 523, 562, 32218, 570, 12447, 269, 594, 798, 6780, 269, 1261, 1281, 6780, 6993, 653, 997, 725, 3040, 12984, 2577, 560, 5918, 286, 1548, 616, 596, 3257, 286, 3040, 594, 577, 838, 773, 548, 31336, 4252, 269, 3040, 1975, 1408, 560, 5918, 17540, 29967, 4252, 286, 1684, 596, 1404, 13558, 286, 3040, 594, 577, 5672, 515, 670, 9476, 31348, 326, 629, 523, 269, 946, 834, 333, 32218, 2668, 594, 1404, 14912, 269, 3040, 7557, 560, 5918, 22505, 286, 1684, 596, 1404, 5026, 286, 8074, 519, 2063, 4845, 269, 1247, 538, 4436, 835, 1281, 513, 7328, 563, 763, 835, 8239, 4341, 827, 834, 879, 577, 257, 568, 602, 568, 2141, 2501, 1310, 519, 8231, 269, 3040, 15776, 523, 568, 849, 606, 12150, 8231, 269, 834, 879, 577, 2668, 1530, 1156, 568, 519, 2063, 12150, 8231, 269, 950, 8108, 609, 834, 706, 269, 20146, 269, 568, 1360, 1271, 543, 621, 1797, 834, 10193, 2668, 543, 1965, 2668, 543, 646, 849, 4249, 14912, 269, 596, 1101, 4894, 519, 1412, 679, 29717, 2144, 269, 543, 1965, 257, 621, 568, 20146, 6255, 269, 20146, 269, 543, 1775, 15590, 818, 18464, 564, 269, 1280, 1383, 269, 3768, 2144, 838, 1408, 339, 513, 1276, 31336, 4252, 269, 15253, 895, 29941, 4436, 18500, 3040, 6154, 1125, 527, 1230, 329, 17313, 3040, 32040, 785, 684, 2102, 2296, 4436, 3768, 32623, 522, 1457, 543, 855, 610, 5637, 4436, 543, 2296, 723, 7623, 5220, 269, 2705, 621, 814, 513, 2241, 1689, 269, 606, 1412, 324, 262, 568, 3773, 1354, 621, 269, 711, 5918, 818, 18464, 560, 269, 789, 1246, 3339, 17788, 725, 269, 20146, 269, 594, 1404, 14912, 269, 1965, 269, 20146, 269, 543, 1775, 15590, 818, 2041, 8636, 269, 11634, 516, 756, 523, 543, 11634, 342, 574, 5443, 616, 782, 2834, 13450, 269, 855, 849, 538, 7623, 5220, 269, 519, 3156, 540, 891, 616, 11999, 269, 1965, 269, 1934, 568, 606, 1383, 269, 32040, 3689, 5153, 5685, 1639, 11634, 879, 523, 11634, 879, 476, 747, 11634, 320, 826, 3040, 1488, 18464, 523, 568, 606, 12150, 8231, 269, 1358, 666, 581, 1031, 538, 8638, 269, 1924, 621, 1131, 581, 5918, 818, 18464, 652, 269, 4033, 7638, 2125, 543, 4256, 1230, 24503, 725, 4436, 18049, 3040, 6154, 1125, 527, 7638, 2125, 3040, 7638, 17754, 4436, 2296, 8350, 523, 547, 1224, 11634, 879, 523, 547, 4585, 694, 1156, 547, 1294, 818, 18464, 523, 547, 960, 11634, 516, 756, 523, 547, 2328, 11634, 342, 574, 5443, 547, 7669, 5576, 879, 523, 269, 3040, 594, 577, 838, 773, 548, 31336, 4252, 269, 3689, 269, 1677, 31669, 1547, 1306, 1134, 607, 2144, 269, 711, 2144, 269, 1879, 8108, 834, 706, 257, 621, 568, 20146, 327, 560, 543, 609, 834, 518, 269, 1287, 1039, 519, 2953, 10678, 269, 3040, 1547, 634, 1007, 2262, 269, 621, 568, 5918, 561, 5006, 269, 24269, 519, 10678, 6238, 609, 513, 27901, 269, 711, 5918, 6013, 560, 610, 5918, 8350, 560, 563, 514, 519, 1482, 2796, 607, 9114, 828, 269, 1280, 1383, 269, 2991, 782, 269, 834, 296, 993, 4730, 269, 901, 949, 3280, 899, 2025, 2296, 269, 596, 946, 993, 9114, 321, 22978, 907, 711, 693, 782, 1018, 596, 616, 3843, 547, 2161, 269, 646, 568, 1818, 20257, 257, 1677, 2769, 29202, 269, 898, 1522, 581, 15673, 532, 547, 1118, 519, 1459, 11636, 4845, 907, 3040, 1547, 1924, 621, 568, 711, 834, 296, 577, 10822, 838, 1408, 523, 269, 634, 1259, 568, 513, 21465, 1259, 269, 1411, 666, 849, 1039, 824, 13450, 269, 834, 296, 577, 5672, 515, 838, 1408, 523, 269, 596, 1205, 834, 680, 904, 711, 2668, 12984, 26558, 5918, 575, 1716, 286, 1548, 798, 596, 899, 286, 769, 4436, 907, 610, 1118, 1919, 1701, 1175, 3085, 1405, 960, 269, 646, 1281, 711, 1404, 2668, 3040, 3040, 1677, 2769, 13283, 269, 5890, 7675, 15055, 543, 20247, 10105, 4436, 18500, 3040, 6154, 1125, 527, 1230, 329, 17313, 3040, 32040, 785, 684, 2102, 2296, 4436, 594, 899, 269, 10521, 2859, 32040, 22553, 1703, 616, 1079, 811, 8231, 3029, 538, 2296, 602, 596, 786, 1451, 713, 3992, 281, 519, 1459, 11636, 9497, 296, 993, 4730, 269, 543, 972, 596, 1294, 1141, 2296, 3357, 689, 269, 585, 824, 1919, 269, 2495, 834, 2865, 540, 782, 257, 1701, 269, 575, 1716, 269, 1280, 1383, 269, 594, 577, 3110, 324, 1547, 1412, 4944, 1408, 523, 262, 4992, 513, 2603, 899, 1412, 2452, 268, 532, 8339, 3079, 540, 834, 323, 3996, 711, 1404, 2668, 972, 616, 1896, 2081, 547, 2769, 15055, 543, 20247, 10105, 1701, 269, 5637, 540, 519, 2453, 1657, 616, 16866, 538, 4436, 269, 834, 296, 577, 838, 773, 548, 993, 9114, 321, 22978, 5576, 778, 907, 543, 519, 31077, 834, 296, 798, 1404, 269, 899, 6998, 610, 6031, 952, 789, 899, 547, 1404, 269, 946, 562, 32218, 575, 1716, 3079, 540, 575, 1716 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 2603, 540, 2724, 689, 5333, 543, 14666, 267, 519, 1292, 9295, 547, 519, 6578, 568, 519, 10868, 540, 19695, 267, 519, 3638, 12074, 1934, 269, 19162, 601, 5599, 538, 519, 2895, 28396, 3459, 538, 476, 6245, 275, 563, 4649, 269, 19162, 601, 568, 1715, 2836, 539, 8205, 781, 1292, 13143, 20161, 269, 4340, 547, 16861, 9193, 267, 827, 476, 1839, 260, 540, 922, 1158, 14425, 616, 538, 1715, 2836, 539, 8205, 563, 6321, 269, 21696, 17040, 568, 2442, 538, 1715, 2836, 539, 8205, 267, 607, 568, 2021, 781, 25319, 563, 6872, 269, 634, 31705, 12512, 1934, 568, 3833, 7453, 269, 1280, 1383, 267, 1256, 25963, 540, 3943, 1780, 7964, 1590, 2097, 547, 2474, 609, 519, 1249, 602, 741, 3251, 593, 519, 6532, 568, 3908, 563, 6812, 269, 6428, 2456, 1934, 616, 1454, 2362, 982, 538, 824, 7414, 2477, 269, 31245, 267, 676, 519, 1259, 267, 1932, 563, 6795, 269, 1715, 2836, 539, 8205, 568, 513, 4662, 3386, 2197, 609, 575, 712, 5471, 1426, 896, 13869, 4054, 267, 3043, 5070, 267, 669, 545, 759, 2176, 267, 543, 536, 25193, 3298, 269, 1403, 972, 568, 513, 5963, 31676, 5544, 593, 3047, 267, 621, 568, 4440, 4092, 538, 1715, 2836, 539, 8205, 269, 2311, 2547, 602, 781, 1018, 1346, 945, 723, 1044, 1934, 616, 6031, 563, 2568, 269, 15999, 17822, 543, 6777, 22554, 586, 778, 1206, 616, 2220, 11691, 593, 519, 20842, 675, 6329, 269, 769, 1840, 267, 32668, 9350, 2141, 12081, 338, 1934, 267, 711, 29169, 676, 1585, 2621, 602, 21237, 21199, 519, 1158, 2797, 26750, 269, 0, 1692, 7043, 6496, 19051, 595, 3019, 7831, 888, 300, 12578, 595, 3019, 7314, 616, 835, 540, 519, 1034, 11537, 14981, 538, 519, 1158, 267, 12021, 585, 741, 15754, 622, 1629, 6756, 528, 267, 23836, 5920, 267, 543, 22488, 14789, 269, 1306, 513, 3743, 4620, 8227, 267, 621, 568, 1898, 547, 1174, 519, 2188, 602, 1860, 519, 14438, 540, 707, 24566, 3659, 267, 1455, 1072, 2152, 267, 543, 4388, 547, 8831, 741, 1272, 19104, 563, 1103, 713, 5816, 2022, 267, 649, 786, 2263, 519, 1272, 19104, 540, 19051, 595, 3019, 7314, 267, 2188, 602, 3310, 741, 14438, 267, 11342, 1072, 2152, 267, 543, 2081, 547, 1416, 585, 10172, 7314, 269, 3958, 267, 649, 786, 1865, 12003, 609, 519, 2530, 540, 707, 19051, 595, 3019, 543, 2093, 547, 8661, 519, 1272, 789, 5030, 269, 6787, 596, 616, 513, 1101, 6066, 19051, 595, 3019, 8227, 610, 513, 19023, 27423, 267, 713, 5816, 2022, 786, 1683, 3407, 5813, 593, 875, 547, 2087, 519, 2298, 540, 1272, 540, 707, 4620, 543, 8661, 922, 9371, 563, 763, 5020, 21673, 3599, 2986, 19051, 595, 3019, 19949, 454, 2252, 596, 616, 6236, 12561, 513, 19051, 595, 3019, 3032, 267, 835, 540, 519, 1919, 596, 949, 581, 8049, 827, 568, 922, 14438, 269, 19051, 3213, 976, 616, 1634, 585, 1373, 835, 540, 519, 13074, 2000, 1516, 3032, 14981, 267, 609, 606, 3328, 1272, 19104, 540, 476, 1321, 268, 1428, 1296, 269, 1717, 267, 930, 19051, 3213, 976, 723, 1044, 1634, 547, 2661, 883, 741, 2038, 476, 736, 338, 256, 1924, 267, 1018, 2188, 666, 1860, 519, 1272, 12732, 540, 513, 19051, 595, 3019, 888, 7049, 7497, 281, 21834, 666, 1404, 513, 1713, 1909, 538, 875, 1279, 513, 19051, 595, 3019, 786, 2661, 269, 1403, 513, 19051, 595, 3019, 2501, 689, 513, 1279, 1899, 540, 2635, 7314, 609, 1100, 19753, 12723, 1072, 2175, 267, 789, 786, 2693, 723, 513, 3476, 14438, 269, 2201, 519, 824, 1688, 267, 952, 513, 19051, 595, 3019, 2501, 689, 513, 1899, 540, 7314, 609, 513, 1686, 540, 1072, 2042, 267, 713, 949, 2110, 523, 741, 14438, 563, 291, 2884, 543, 11644, 281, 3807, 899, 3425, 267, 513, 2635, 2732, 543, 2834, 3635, 666, 3648, 1764, 519, 14438, 540, 513, 19051, 595, 3019, 269, 30839, 707, 3032, 513, 7059, 267, 14312, 2732, 543, 3246, 15792, 3255, 585, 2866, 543, 1404, 666, 948, 1832, 873, 2635, 543, 10804, 741, 1272, 563, 309, 2678, 2435, 5516, 281, 8617, 18915, 2638, 5725, 543, 23833, 1416, 666, 6952, 543, 1521, 1072, 2152, 2038, 593, 267, 799, 666, 948, 8831, 707, 19051, 595, 3019, 779, 14438, 269, 18227, 1699, 593, 10074, 543, 4180, 707, 3032, 11392, 2556, 2564, 1416, 607, 621, 6502, 666, 849, 948, 2333, 922, 1272, 19104, 563, 23277, 12578, 595, 3019, 5020, 21673, 3599, 13832, 281, 2008, 347, 21848, 476, 272, 268, 276, 10573, 8256, 30872, 1762, 4079, 609, 513, 1279, 1272, 6619, 540, 873, 267, 3177, 789, 4309, 1697, 1416, 543, 18915, 2638, 13522, 8198, 347, 21848, 476, 277, 268, 1015, 10573, 8256, 30872, 1762, 4079, 609, 513, 1279, 1272, 6619, 540, 873, 267, 3177, 789, 4309, 1697, 1416, 543, 18915, 2638, 5725, 8198, 347, 21848, 476, 1556, 268, 1428, 10573, 8256, 30872, 9972, 267, 855, 621, 568, 711, 16613, 585, 19051, 3213, 976, 547, 2661, 883, 741, 3735, 12322, 610, 1256, 2038, 1000, 550, 625, 609, 1697, 1416, 543, 3007, 8198, 347, 21848, 476, 1428, 266, 10573, 8256, 30872, 12908, 12278, 267, 855, 621, 568, 711, 16613, 585, 19051, 3213, 976, 547, 2661, 883, 741, 3735, 12322, 610, 1256, 2038, 1000, 550, 625, 609, 1697, 1416, 543, 3007, 8198, 14454, 267, 952, 596, 1683, 707, 19051, 595, 3019, 609, 2298, 1416, 267, 6484, 267, 543, 3635, 267, 596, 666, 948, 873, 2661, 513, 1279, 267, 2635, 1272, 269, 5457, 547, 3251, 10332, 585, 1022, 2242, 538, 2623, 610, 1072, 267, 543, 5077, 609, 707, 16943, 952, 596, 723, 1022, 4145, 563, 26502, 2334, 18748, 634, 17151, 525, 3966, 2986, 19051, 3213, 976, 454, 2026, 609, 1022, 3662, 610, 1256, 1480, 1373, 267, 1896, 2188, 666, 1860, 519, 14438, 540, 513, 19051, 595, 3019, 9697, 269, 2755, 930, 540, 891, 2188, 1522, 711, 581, 896, 707, 1852, 267, 972, 616, 930, 1919, 596, 666, 798, 547, 2087, 707, 24566, 3659, 779, 14438, 563, 3080, 3815, 602, 666, 3648, 1860, 513, 19051, 595, 3019, 779, 14438, 568, 11976, 269, 6145, 1082, 14981, 267, 1808, 4719, 13592, 666, 2014, 1072, 2152, 602, 949, 2539, 707, 3032, 779, 14438, 269, 1411, 666, 798, 707, 851, 538, 8939, 513, 2635, 6539, 1084, 676, 15388, 519, 9742, 518, 543, 741, 9960, 2853, 269, 589, 18019, 9742, 518, 786, 723, 513, 1434, 1686, 540, 2635, 7314, 543, 5683, 9960, 2853, 563, 5194, 3815, 602, 666, 1860, 707, 19051, 595, 3019, 779, 14438, 568, 2732, 543, 3635, 269, 7743, 6484, 543, 3635, 666, 3648, 2333, 707, 3032, 779, 14438, 269, 3117, 626, 1836, 8023, 707, 3032, 513, 1134, 28394, 2331, 2732, 543, 2502, 873, 538, 1404, 5503, 666, 1832, 873, 2635, 543, 2061, 8377, 267, 799, 1223, 1291, 547, 824, 1072, 2042, 563, 347, 26502, 2334, 18748, 634, 17151, 525, 3966, 2986, 19051, 3213, 976, 2008, 25238, 2884, 543, 3635, 2008, 347, 19894, 17022, 2638, 5725, 543, 23833, 1416, 2008, 15563, 267, 2834, 17022, 2638, 5725, 543, 23833, 1416, 666, 849, 1404, 513, 1713, 1909, 538, 519, 3259, 540, 707, 19051, 595, 3019, 779, 1272, 269, 6250, 1746, 519, 17022, 12422, 585, 2638, 5725, 543, 25750, 543, 7231, 609, 2042, 2038, 593, 666, 6952, 1072, 2152, 1354, 789, 1831, 4049, 269, 16473, 894, 1416, 971, 607, 7904, 320, 543, 8743, 6604, 543, 5959, 9882, 666, 849, 3648, 1860, 707, 3032, 779, 14438, 563, 4407, 972, 616, 2188, 602, 666, 1860, 707, 19051, 595, 3019, 779, 14438, 602, 596, 723, 1100, 1852, 936, 267, 972, 616, 849, 1082, 1919, 596, 666, 798, 547, 948, 873, 2661, 513, 1279, 543, 2635, 1272, 269, 29760, 593, 11976, 267, 2732, 543, 3635, 267, 543, 23833, 1416, 666, 1118, 782, 519, 3017, 267, 865, 1118, 891, 513, 10862, 538, 12391, 585, 707, 24566, 3659, 563, 10890, 12983, 5871, 7324, 19051, 3213, 976, 454, 293, 3894, 616, 29200, 585, 741, 588, 18757, 2470, 267, 1818, 621, 2352, 547, 3713, 5817, 1072, 2152, 269, 6145, 782, 7314, 267, 19051, 3213, 976, 616, 849, 11630, 547, 1585, 3676, 543, 5563, 267, 930, 540, 799, 949, 581, 4719, 269, 1306, 513, 3743, 4620, 8227, 267, 621, 568, 2629, 547, 581, 3222, 540, 519, 1072, 2152, 4122, 1336, 538, 19051, 3213, 976, 563, 300, 12578, 3213, 976, 616, 12155, 547, 1808, 1072, 2042, 602, 2154, 28858, 689, 741, 5411, 269, 1306, 609, 1022, 3662, 267, 519, 4505, 513, 2068, 568, 9571, 267, 519, 4443, 621, 568, 547, 1683, 2500, 2126, 269, 11374, 616, 930, 540, 519, 1034, 1455, 1072, 2152, 1336, 538, 19051, 595, 3019, 7314, 912, 268, 5754, 13630, 13116, 9315, 328, 3912, 14527, 630, 295, 13967, 264, 1107, 901, 568, 519, 1034, 1455, 4719, 2295, 2068, 1336, 538, 7314, 267, 609, 606, 11841, 2557, 540, 5176, 476, 1789, 260, 1851, 19051, 3213, 976, 269, 670, 13967, 666, 581, 4857, 998, 2834, 13487, 32182, 267, 799, 616, 5227, 585, 782, 19051, 595, 3019, 7314, 269, 12580, 1331, 29723, 1173, 344, 267, 2530, 540, 14031, 267, 543, 7411, 7244, 563, 268, 853, 558, 22807, 1107, 589, 5312, 6553, 540, 519, 14779, 282, 588, 558, 22807, 568, 513, 1455, 2783, 1851, 19051, 3213, 976, 602, 666, 2014, 1713, 9636, 543, 1928, 269, 2755, 519, 3169, 2014, 540, 588, 558, 22807, 568, 1869, 7164, 267, 2126, 2356, 3322, 513, 4999, 540, 11216, 543, 32104, 3797, 269, 18748, 539, 7314, 949, 849, 991, 547, 723, 1022, 16094, 4299, 4522, 13939, 563, 268, 2717, 11770, 716, 344, 569, 1107, 19051, 595, 3019, 7314, 616, 1634, 585, 741, 10058, 3063, 19462, 267, 799, 616, 519, 1267, 540, 513, 4719, 15817, 269, 2755, 3063, 19462, 616, 3622, 711, 513, 2014, 585, 6161, 267, 789, 666, 3006, 2014, 2042, 609, 17970, 2208, 610, 581, 12155, 547, 5563, 269, 1403, 891, 2152, 2049, 267, 621, 568, 1655, 547, 5077, 609, 513, 16943, 563, 347, 20812, 13630, 13116, 9315, 328, 3912, 14527, 630, 295, 13967, 10534, 299, 996, 1173, 344, 267, 2530, 540, 14031, 267, 543, 7411, 7244, 1475, 19894, 13487, 32182, 267, 6646, 267, 543, 3635, 19231, 2008, 347, 1805, 558, 22807, 1475, 32247, 6553, 540, 519, 14779, 1475, 12901, 756, 7821, 267, 32104, 3797, 267, 543, 5959, 10868, 952, 2556, 2008, 19064, 8432, 323, 716, 344, 569, 1475, 15761, 571, 19462, 1475, 19894, 16013, 2719, 543, 9882, 5826, 267, 543, 11216, 952, 3968, 4386, 2008, 19894, 11564, 547, 519, 16943, 543, 3007, 547, 741, 2168, 543, 3929, 2115, 616, 1898, 547, 2327, 707, 24566, 3659, 2729, 513, 1279, 543, 2635, 1272, 269, 1635, 5432, 1944, 3054, 609, 1455, 19051, 595, 3019, 1072, 2152, 267, 596, 666, 948, 562, 760, 1022, 1072, 4145, 538, 519, 5229, 543, 1683, 707, 3032, 609, 519, 2556, 1416, 563, 19522, 1280, 6987, 2056, 2659, 19051, 595, 3019, 779, 17151, 525, 3966, 454, 2026, 4620, 5411, 267, 649, 782, 1616, 938, 11537, 24566, 2828, 547, 2661, 1279, 543, 2635, 2729, 269, 901, 568, 1100, 1114, 950, 621, 2501, 547, 19051, 595, 3019, 7314, 269, 1452, 23836, 535, 3894, 616, 1634, 585, 741, 15754, 622, 543, 22488, 2470, 267, 607, 1134, 607, 741, 1804, 2450, 543, 27726, 5920, 269, 1403, 596, 616, 519, 10583, 8227, 540, 513, 19051, 595, 3019, 267, 596, 949, 4898, 1018, 596, 666, 798, 547, 8831, 922, 14438, 269, 3371, 616, 930, 4388, 547, 948, 596, 1832, 707, 19051, 595, 3019, 2635, 543, 6126, 585, 1296, 563, 272, 269, 8617, 966, 564, 6744, 5725, 281, 3807, 899, 3425, 267, 7314, 991, 2834, 2638, 5725, 609, 741, 17022, 547, 2327, 789, 616, 2635, 269, 898, 568, 5227, 602, 19051, 3213, 976, 723, 513, 2638, 1575, 693, 2547, 2899, 513, 1032, 267, 855, 536, 1014, 333, 783, 2638, 5725, 616, 1256, 1732, 269, 1452, 2638, 5725, 786, 1450, 707, 17022, 547, 6952, 1022, 1761, 1072, 2152, 2038, 593, 543, 2061, 873, 689, 4742, 811, 4049, 563, 273, 269, 7195, 2331, 12594, 281, 589, 7059, 543, 14312, 2732, 568, 1898, 585, 4509, 707, 19051, 595, 3019, 779, 1072, 269, 30839, 707, 3032, 1164, 7779, 1426, 602, 10742, 922, 9422, 2115, 568, 2565, 269, 4746, 267, 2057, 936, 16567, 707, 3032, 267, 799, 666, 1291, 547, 8377, 543, 1072, 2042, 563, 274, 269, 8617, 11644, 281, 19051, 595, 3019, 7314, 616, 1634, 585, 741, 2648, 540, 1404, 543, 3635, 269, 8617, 3635, 711, 1152, 8952, 707, 3032, 6126, 267, 855, 621, 849, 2337, 2226, 741, 2168, 543, 2790, 1134, 5630, 269, 29892, 609, 707, 3032, 3232, 267, 3246, 873, 609, 9162, 267, 543, 3850, 873, 7850, 2230, 547, 1847, 1472, 616, 1390, 2081, 547, 948, 707, 19051, 595, 3019 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15713, 540, 519, 25376, 5055, 336, 7467, 563, 300, 28771, 334, 267, 729, 547, 3136, 25795, 8291, 779, 960, 269, 16549, 704, 334, 729, 10615, 4937, 540, 519, 4165, 1172, 885, 6796, 689, 476, 6642, 272, 2394, 476, 4489, 275, 269, 16549, 704, 334, 8547, 519, 3943, 17030, 267, 513, 8628, 10661, 799, 729, 547, 581, 513, 3490, 585, 519, 8313, 540, 4574, 543, 20375, 267, 543, 585, 519, 2069, 540, 1053, 540, 5527, 1108, 269, 634, 4165, 1172, 885, 6796, 21248, 26995, 14998, 543, 5795, 1082, 5527, 1108, 1053, 20250, 1702, 540, 3504, 5527, 269, 2776, 16227, 267, 519, 2069, 1185, 1044, 3908, 547, 15225, 538, 4914, 15882, 269, 769, 1840, 267, 519, 2038, 4165, 1172, 885, 6796, 4847, 24085, 547, 1832, 513, 6871, 540, 741, 4681, 269, 898, 814, 711, 1044, 2394, 2487, 2053, 602, 519, 4165, 1172, 885, 6796, 3294, 267, 1100, 3476, 13234, 896, 513, 4914, 7245, 267, 814, 11074, 519, 2259, 540, 4758, 24085, 513, 6871, 540, 741, 9060, 269, 901, 8694, 519, 3504, 2395, 540, 18205, 3775, 6883, 799, 519, 1353, 540, 5527, 729, 8547, 2390, 563, 763, 13524, 2540, 4547, 609, 621, 1082, 29293, 540, 3504, 5527, 269, 1452, 29293, 3769, 519, 26829, 540, 717, 21289, 267, 607, 1134, 607, 519, 824, 5634, 26829, 267, 971, 607, 519, 18158, 540, 2725, 573, 636, 267, 519, 15223, 336, 336, 4673, 18158, 267, 543, 519, 631, 770, 629, 553, 269, 589, 1007, 7450, 540, 14172, 1185, 546, 1177, 2740, 2390, 519, 26131, 1670, 10325, 269, 2060, 621, 3357, 513, 21318, 540, 12261, 5931, 267, 607, 1134, 607, 1082, 5863, 8906, 540, 519, 26829, 543, 922, 25267, 269, 3509, 540, 891, 8906, 723, 26857, 513, 3376, 2039, 540, 1702, 689, 513, 3099, 540, 5640, 269, 20152, 25371, 2073, 5261, 4469, 785, 619, 8891, 4471, 267, 543, 1866, 782, 29211, 538, 519, 10661, 540, 5527, 1108, 607, 513, 2257, 267, 7311, 3621, 2553, 547, 519, 1353, 540, 5527, 269, 6270, 2553, 6565, 4364, 689, 3621, 1719, 538, 519, 1641, 2864, 982, 606, 1719, 538, 18205, 3775, 6883, 543, 10655, 13742, 563, 14503, 785, 619, 8891, 4471, 6170, 689, 476, 6642, 271, 910, 476, 6642, 274, 4974, 543, 14155, 908, 519, 15124, 30958, 540, 717, 21289, 1547, 5221, 540, 1010, 1416, 543, 22111, 2361, 2409, 267, 8891, 4471, 2968, 1634, 607, 835, 540, 519, 1390, 3048, 2209, 540, 519, 3621, 2409, 538, 15456, 26995, 269, 769, 476, 6642, 275, 267, 8891, 4471, 4362, 15998, 540, 519, 2458, 817, 531, 18533, 540, 305, 4461, 525, 594, 272, 323, 1005, 1010, 14155, 725, 540, 519, 13527, 540, 18000, 529, 563, 763, 14206, 2540, 536, 893, 1776, 21707, 540, 1719, 538, 5527, 1108, 269, 769, 5239, 540, 476, 6245, 272, 693, 519, 2085, 540, 476, 1704, 267, 20999, 25020, 1305, 13743, 585, 28641, 267, 5527, 267, 799, 729, 1010, 1101, 3460, 3544, 540, 6628, 269, 3571, 1101, 1788, 729, 693, 645, 8643, 670, 28045, 267, 519, 30401, 924, 540, 519, 590, 30371, 793, 11010, 806, 540, 5664, 5527, 1282, 476, 1220, 271, 645, 5861, 269, 25020, 779, 4305, 729, 547, 2594, 543, 5299, 519, 10207, 689, 519, 6821, 540, 519, 19772, 269, 2311, 713, 2038, 2085, 267, 20999, 25020, 729, 513, 30190, 11832, 609, 1454, 15131, 269, 1261, 1131, 960, 519, 1554, 998, 543, 1287, 3207, 609, 519, 16835, 538, 519, 19772, 563, 30952, 267, 646, 729, 29341, 547, 960, 585, 14503, 785, 619, 8891, 4471, 2073, 513, 2178, 2361, 8689, 543, 835, 540, 519, 1034, 23674, 24085, 540, 1010, 942, 269, 8891, 4471, 5156, 25020, 1131, 2760, 1831, 513, 1434, 14155, 1807, 267, 855, 25020, 9863, 1864, 4636, 950, 646, 11552, 691, 1117, 1896, 1271, 9060, 693, 519, 3135, 540, 1714, 2549, 541, 3534, 267, 519, 13317, 540, 5527, 1282, 519, 16285, 540, 13019, 1156, 22760, 269, 7201, 8891, 4471, 779, 14053, 4691, 4392, 267, 25020, 2968, 606, 9125, 6048, 267, 1247, 5329, 909, 609, 1010, 7499, 1983, 269, 1261, 11516, 3481, 1082, 540, 519, 8966, 13742, 1336, 693, 1714, 2549, 541, 3534, 563, 290, 6621, 729, 2663, 12912, 20232, 30310, 547, 519, 12266, 16709, 8750, 585, 519, 14155, 725, 540, 1546, 597, 1714, 9040, 686, 267, 519, 19746, 1747, 540, 10348, 670, 1846, 515, 1186, 583, 269, 2311, 519, 2085, 540, 476, 1839, 267, 25020, 729, 6035, 519, 2816, 540, 28018, 528, 4937, 540, 3933, 3701, 585, 16592, 5527, 676, 519, 10615, 540, 519, 12266, 4165, 1172, 885, 6796, 267, 22050, 517, 16549, 704, 334, 267, 538, 476, 6245, 280, 269, 25020, 779, 9021, 3769, 27459, 2358, 543, 9013, 22884, 2059, 519, 20407, 9503, 563, 290, 6621, 779, 7694, 693, 519, 12266, 4165, 1172, 885, 6796, 3357, 547, 606, 1439, 538, 606, 25031, 10071, 1063, 519, 12266, 3135, 22651, 543, 513, 1297, 540, 1743, 684, 5287, 3943, 14666, 269, 634, 10071, 5795, 25020, 513, 3109, 1665, 543, 3361, 1864, 547, 581, 11540, 547, 519, 20407, 18647, 4884, 540, 570, 9017, 267, 513, 1747, 609, 1360, 2370, 15456, 9525, 269, 901, 7142, 25020, 547, 29997, 689, 519, 4165, 1172, 885, 6796, 538, 476, 5002, 276, 269, 25020, 13455, 513, 2182, 6228, 1310, 29997, 532, 689, 519, 4165, 1172, 885, 6796, 269, 1261, 1185, 547, 1118, 513, 2713, 676, 2324, 607, 513, 5010, 1216, 10233, 626, 610, 3006, 513, 3391, 585, 14666, 269, 901, 6197, 4797, 2394, 1472, 476, 5002, 279, 950, 25020, 729, 5189, 547, 519, 25004, 7083, 2961, 333, 541, 341, 517, 676, 22050, 517, 16549, 704, 334, 269, 634, 11450, 8399, 539, 25747, 267, 607, 1142, 7649, 779, 7209, 8604, 547, 5360, 2939, 519, 1866, 563, 290, 6621, 2968, 519, 8111, 6665, 528, 540, 519, 19196, 822, 725, 14102, 676, 2961, 333, 541, 341, 517, 538, 634, 15816, 543, 676, 476, 4489, 275, 2961, 333, 541, 341, 517, 11262, 835, 540, 519, 1034, 3407, 10070, 540, 12266, 13742, 4371, 538, 4357, 3946, 269, 1717, 267, 20999, 25020, 1185, 1869, 811, 16529, 17050, 269, 1261, 1185, 1010, 3750, 593, 4466, 519, 19772, 540, 513, 9425, 7164, 943, 21198, 693, 519, 942, 267, 3751, 15397, 1678, 5069, 684, 267, 1310, 1585, 10881, 547, 922, 6228, 1185, 1044, 1336, 267, 25020, 547, 516, 909, 519, 9503, 540, 519, 18301, 3168, 585, 15397, 1678, 5069, 684, 779, 19746, 1747, 267, 855, 4005, 1310, 4005, 3812, 2370, 811, 982, 513, 1906, 13742, 269, 2961, 333, 541, 341, 517, 729, 4742, 27025, 30829, 609, 519, 3668, 540, 2132, 689, 1010, 5092, 543, 267, 538, 476, 4572, 273, 267, 646, 5795, 25020, 835, 811, 4005, 540, 7616, 547, 1265, 519, 19772, 563, 1692, 553, 6113, 25020, 781, 960, 593, 3751, 15397, 1678, 5069, 684, 781, 19772, 3459, 593, 5437, 476, 272, 267, 476, 4572, 273, 269, 898, 3576, 1152, 1614, 2395, 1354, 519, 1283, 540, 513, 25047, 13826, 729, 11552, 691, 1117, 269, 20290, 1614, 4374, 2663, 519, 25047, 13826, 729, 7357, 14155, 730, 543, 519, 2407, 2427, 540, 519, 29147, 3625, 729, 7298, 269, 1635, 5437, 476, 2918, 267, 519, 1101, 29147, 3625, 729, 6569, 267, 519, 13863, 11423, 519, 23725, 528, 729, 7962, 1221, 267, 543, 519, 2034, 29147, 729, 4712, 547, 581, 3144, 6306, 269, 2311, 827, 476, 275, 623, 8160, 269, 602, 1554, 267, 25020, 13264, 998, 519, 2034, 29147, 3625, 543, 1500, 835, 540, 519, 8906, 540, 519, 2540, 267, 519, 19772, 540, 3751, 15397, 1678, 5069, 684, 563, 763, 19772, 779, 13742, 3576, 513, 8717, 547, 32562, 269, 4438, 713, 942, 267, 7083, 2961, 12534, 341, 517, 5747, 538, 595, 23879, 540, 16415, 269, 2991, 519, 2923, 3893, 2842, 540, 519, 16782, 540, 3751, 15397, 1678, 5069, 684, 543, 519, 2669, 540, 7083, 2961, 333, 541, 341, 517, 267, 519, 1728, 701, 827, 513, 544, 16244, 779, 31169, 1305, 519, 2923, 593, 3595, 269, 13518, 547, 25020, 779, 771, 921, 5501, 267, 5022, 23953, 538, 689, 5289, 626, 689, 1472, 519, 1158, 267, 9513, 5796, 543, 21855, 689, 834, 2041, 3219, 519, 18205, 4799, 7661, 267, 519, 13742, 941, 2366, 547, 519, 595, 23879, 7467, 543, 519, 1351, 335, 572, 540, 519, 1762, 4622, 729, 6594, 543, 9788, 1394, 547, 1964, 269, 2991, 1010, 960, 729, 2944, 609, 3751, 15397, 1678, 5069, 684, 267, 25020, 1100, 3476, 5249, 538, 519, 2361, 269, 1261, 19622, 689, 519, 22884, 1870, 269, 1261, 3576, 909, 519, 13287, 540, 10655, 12266, 1884, 1172, 885, 543, 267, 8197, 267, 2968, 513, 1360, 3811, 21689, 269, 10705, 267, 4724, 519, 1439, 540, 1010, 1272, 267, 646, 1223, 581, 1336, 693, 519, 15604, 20066, 23392, 693, 24006, 528, 267, 9361, 676, 5128, 538, 786, 995, 10072, 269, 1261, 8120, 547, 4789, 543, 538, 476, 4350, 280, 267, 693, 519, 2085, 540, 476, 4792, 267, 20999, 25020, 5747, 563, 298, 550, 1284, 4060, 13757, 606, 5571, 1788, 602, 814, 3812, 513, 5763, 540, 15456, 1344, 543, 5280, 547, 5352, 1719, 538, 519, 2489, 2361, 540, 5527, 1108, 1851, 519, 1857, 269, 2290, 540, 519, 4102, 9060, 540, 519, 1788, 814, 1044, 519, 2699, 18752, 540, 9503, 540, 519, 18301, 1297, 2947, 630, 298, 309, 276, 1040, 918, 309, 276, 7000, 519, 9723, 2125, 540, 519, 14930, 540, 305, 1868, 525, 4083, 1547, 263, 275, 264, 634, 6602, 540, 918, 309, 276, 814, 5280, 1284, 4060, 543, 1010, 2319, 10625, 544, 27186, 25814, 1168, 601, 787, 267, 543, 824, 13742, 602, 723, 5280, 4434, 5527, 1108, 883, 519, 8938, 1101, 2540, 269, 1284, 4060, 5206, 513, 1433, 13886, 763, 23452, 570, 4861, 267, 3370, 538, 476, 1960, 279, 267, 602, 3877, 1082, 540, 519, 4681, 540, 918, 309, 276, 563, 20751, 519, 1459, 942, 267, 5527, 1108, 814, 8246, 1082, 2908, 4066, 543, 2553, 538, 14155, 725, 269, 1703, 814, 849, 1044, 1082, 1007, 5717, 543, 6436, 7282, 9147, 5527, 269, 1452, 5717, 267, 723, 1044, 593, 3584, 971, 607, 281, 519, 2085, 543, 4070, 540, 519, 590, 874, 514, 343, 267, 519, 7664, 540, 13099, 344, 6350, 267, 519, 2482, 856, 540, 519, 26829, 540, 717, 21289, 630, 26132, 6935, 547, 24666, 9259, 1070, 519, 22871, 543, 3504, 12583, 540, 5527, 267, 519, 1909, 540, 2021, 538, 3504, 5527, 267, 519, 1353, 540, 12266, 4984, 267, 543, 538, 513, 9962, 2631, 723, 15091, 519, 2528, 540, 3504, 5527, 269, 769, 1840, 267, 5527, 1108, 568, 1100, 3476, 2392, 558, 3990, 676, 4914, 4690, 607, 621, 729, 676, 519, 3943, 267, 543, 2296, 538, 519, 4098, 540, 519, 5676, 514, 269, 2026, 519, 2413, 2085, 814, 27636, 267, 5527, 814, 3144, 1394, 1454, 540, 621, 779, 1378, 1686, 16638, 3257, 865, 5527, 814, 3964, 3294, 607, 519, 4099, 585, 519, 3978, 1353, 540, 9147, 5527, 543, 5527, 1108, 269, 0, 305, 10735, 31144, 267, 9833, 607, 835, 540, 519, 6574, 2475, 3465, 6342, 267, 729, 8995, 609, 12216, 779, 2068, 630, 792, 17067, 9708, 593, 2789, 26379, 267, 3207, 4524, 267, 11563, 2860, 267, 25524, 2860, 267, 2789, 24869, 5448, 543, 1866, 264, 693, 519, 2085, 540, 476, 10695, 538, 476, 1960, 275, 269, 12216, 779, 2068, 267, 519, 1034, 1455, 1106, 540, 12110, 267, 568, 606, 1651, 9092, 2783, 799, 30001, 2634, 2281, 267, 3056, 547, 3965, 2530, 267, 4049, 2623, 543, 3206, 2042, 543, 6038, 2669, 269, 12216, 779, 267, 513, 2068, 602, 4991, 8338, 936, 942, 267, 568, 519, 18749, 6122, 8172, 2014, 540, 2669, 538, 519, 2475, 269, 20290, 476, 277, 2929, 1004, 538, 519, 2475, 7985, 689, 12216, 779, 2068, 563, 28347, 31144, 779, 5868, 28520, 519, 30425, 1394, 593, 519, 1382, 540, 1007, 5574, 543, 4791, 8062, 585, 12216, 779, 269, 1306, 540, 476, 1001, 271, 267, 972, 616, 3592, 476, 4968, 1007, 5574, 540, 12216, 779, 1373, 11567, 998, 4791, 8062, 538, 519, 2475, 543, 3592, 476, 6110, 1007, 5574, 5001, 269, 2368, 540, 519, 3742, 4791, 8062, 585, 620, 11533, 779, 2068, 616, 912, 268, 12216, 779, 4791, 4693, 585, 2360, 540, 1509, 14932, 593, 6419, 16982, 21655, 454, 268, 11916, 4693, 585, 536, 777, 710, 15120, 636, 629, 2126, 538, 2550, 609, 7646, 547, 9793, 12216, 779, 2068, 454, 268, 12216, 779, 2068, 4791, 4693, 585, 519, 3106, 543, 12117, 540, 27082, 1258, 12998, 29821, 9196, 454, 2414, 948, 4791, 1382, 267, 596, 666, 798, 707, 851, 676, 24749, 585, 1022, 540, 519, 3742, 620, 11533, 4791, 8062, 269, 1411, 666, 849, 3406, 676, 1007, 5574, 971, 607, 1509, 14932, 267, 546, 830, 2548, 267, 2944, 701, 7588, 267, 536, 777, 710, 15120, 636, 629 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 2370, 536, 22324, 3957, 18581, 945, 6068, 6575, 543, 13492, 269, 1261, 1185, 2938, 1010, 4587, 16254, 1118, 4190, 12400, 543, 10367, 267, 855, 18581, 4941, 547, 2119, 1945, 1007, 269, 2334, 781, 950, 646, 4362, 519, 8748, 1158, 540, 23156, 1818, 2439, 289, 10154, 4280, 1010, 544, 20207, 267, 834, 1432, 568, 23156, 1818, 267, 631, 20207, 8119, 3571, 3993, 6045, 267, 834, 290, 663, 548, 1818, 568, 2921, 14589, 267, 7801, 621, 7168, 4778, 267, 4946, 26345, 24462, 267, 543, 8380, 621, 538, 513, 2027, 23649, 865, 602, 950, 596, 1769, 621, 267, 621, 5283, 1206, 543, 3947, 1055, 3636, 1769, 3010, 257, 17764, 2437, 1767, 18581, 267, 27278, 269, 834, 4692, 594, 1118, 1250, 1378, 22250, 1932, 12482, 14367, 3993, 20493, 543, 14452, 267, 834, 8133, 267, 15210, 256, 1284, 1175, 991, 513, 2027, 4216, 1572, 513, 1412, 322, 663, 548, 1818, 6539, 9538, 898, 2501, 609, 3388, 649, 991, 547, 1376, 1818, 938, 1378, 22250, 15323, 3383, 789, 4682, 2228, 543, 1336, 513, 17681, 19444, 781, 23156, 1818, 6539, 269, 634, 10189, 8452, 267, 543, 3330, 941, 1507, 11435, 540, 3043, 14589, 267, 930, 10477, 22916, 976, 267, 6263, 14569, 540, 6653, 23337, 2454, 11041, 267, 530, 6506, 267, 543, 513, 19756, 8708, 780, 289, 10154, 14478, 607, 1010, 3993, 24268, 519, 14589, 936, 513, 1494, 540, 3905, 1216, 593, 519, 23041, 269, 2701, 1287, 13264, 835, 540, 519, 22916, 976, 883, 4130, 4773, 543, 3773, 873, 547, 519, 24268, 14589, 269, 834, 16100, 267, 18581, 256, 3767, 519, 14589, 568, 7432, 11909, 899, 10412, 17711, 10590, 1352, 608, 13094, 780, 9202, 267, 1352, 5671, 5529, 513, 1906, 12772, 540, 32175, 3282, 883, 519, 3575, 269, 834, 1607, 786, 1118, 938, 23156, 9329, 899, 5810, 267, 18581, 2437, 1352, 1767, 269, 8625, 267, 789, 13489, 1042, 519, 7848, 9900, 2394, 3388, 5916, 18991, 780, 7661, 267, 789, 23953, 519, 5277, 14589, 883, 519, 8708, 543, 17332, 513, 530, 1157, 1318, 1524, 519, 1647, 269, 2991, 6028, 621, 11735, 547, 3579, 267, 789, 1396, 519, 8737, 1587, 1927, 269, 589, 2571, 16657, 4904, 741, 2713, 4055, 267, 10483, 676, 519, 22196, 20416, 540, 32175, 780, 289, 10154, 7948, 1405, 3494, 1018, 789, 2813, 256, 2060, 1142, 8429, 1554, 267, 646, 4121, 875, 547, 3575, 1114, 11954, 22916, 976, 267, 4603, 539, 609, 1585, 1898, 11041, 267, 543, 1500, 1896, 811, 22250, 269, 17652, 2614, 267, 18581, 2968, 3833, 519, 4274, 538, 23156, 1818, 543, 3838, 1010, 19471, 22250, 609, 2828, 543, 1920, 269, 1358, 782, 25343, 18581, 781, 9735, 13144, 267, 799, 711, 1152, 1159, 8215, 17175, 855, 6743, 32620, 1932, 780, 5804, 602, 4090, 593, 267, 8164, 2576, 1131, 2307, 1864, 267, 834, 20756, 18581, 267, 1018, 798, 596, 2972, 3257, 1282, 707, 1863, 942, 8119, 9453, 11688, 2787, 267, 646, 23217, 10294, 267, 834, 296, 2648, 1818, 22250, 256, 21763, 803, 547, 1397, 596, 875, 8119, 1656, 3976, 3459, 18581, 781, 3460, 883, 4687, 519, 7772, 540, 23156, 1818, 609, 3025, 1472, 1864, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 290, 663, 548, 1818, 814, 1831, 606, 5051, 2442, 15908, 538, 2487, 1296, 267, 609, 811, 543, 811, 1004, 3168, 585, 2081, 547, 25793, 1662, 741, 5876, 543, 1711, 1945, 2189, 269, 2290, 540, 519, 1034, 1271, 3344, 540, 23156, 1818, 568, 2348, 513, 6325, 23156, 1818, 6539, 602, 2488, 596, 609, 782, 519, 2556, 7727, 543, 2645, 563, 1103, 713, 2376, 267, 649, 786, 2263, 519, 3395, 8560, 540, 23156, 1818, 20164, 267, 519, 2640, 540, 1818, 707, 1378, 22250, 267, 543, 1141, 596, 666, 1265, 519, 3501, 6539, 547, 1205, 3323, 563, 21430, 707, 1378, 22250, 3091, 513, 2039, 540, 2640, 602, 723, 8329, 547, 922, 8375, 8560, 269, 3502, 1152, 1281, 621, 1450, 596, 547, 7148, 883, 707, 3860, 2427, 676, 7446, 707, 9053, 4778, 267, 1085, 757, 267, 543, 6272, 267, 855, 621, 849, 2488, 606, 4316, 585, 1942, 9806, 269, 1635, 13167, 707, 1378, 22250, 3079, 540, 11449, 7199, 3283, 689, 8637, 267, 596, 666, 4688, 2724, 538, 519, 1279, 2196, 1247, 11981, 10531, 13144, 602, 2992, 707, 2189, 2511, 563, 8139, 519, 1114, 2010, 540, 23156, 1818, 18222, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 15443, 548, 10435, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 6637, 476, 1691, 281, 29460, 606, 30310, 543, 10104, 6145, 4911, 11253, 22784, 333, 345, 692, 5970, 596, 2479, 5326, 339, 540, 1373, 606, 7376, 610, 513, 16159, 286, 1215, 827, 3257, 1312, 693, 2899, 286, 2334, 781, 1018, 4911, 11253, 22784, 333, 345, 1281, 256, 2701, 5932, 6909, 4773, 540, 1148, 602, 849, 4001, 721, 827, 1686, 543, 2528, 269, 2913, 781, 1451, 811, 827, 1200, 960, 543, 875, 649, 666, 1831, 5159, 543, 5640, 1932, 780, 17951, 11253, 22939, 942, 15388, 4277, 3584, 1354, 1352, 6238, 2870, 1200, 11247, 269, 2290, 1554, 267, 1247, 3168, 998, 2835, 693, 519, 5399, 267, 1352, 4362, 1079, 4241, 5396, 1107, 3504, 4936, 14589, 14342, 1031, 585, 1603, 14767, 630, 21406, 834, 310, 1314, 8871, 2478, 8442, 543, 2038, 2645, 1004, 1031, 547, 2995, 942, 267, 899, 31914, 10118, 543, 2241, 23234, 9497, 299, 756, 516, 343, 9891, 529, 20257, 1452, 3615, 5795, 1200, 1390, 2093, 585, 1200, 1985, 3785, 2439, 3719, 1946, 4769, 1405, 4911, 11253, 1175, 1413, 909, 713, 1344, 2228, 610, 1265, 621, 538, 824, 2835, 286, 4270, 267, 3006, 519, 1655, 3877, 2097, 689, 3312, 2959, 899, 2025, 6054, 610, 3140, 3688, 269, 1717, 267, 891, 2027, 1919, 1590, 581, 17411, 5402, 1317, 789, 1223, 1205, 8697, 3362, 269, 1924, 267, 950, 2576, 6499, 547, 1294, 873, 267, 789, 2356, 723, 547, 2285, 513, 1434, 2601, 543, 1397, 789, 786, 1521, 519, 2326, 609, 2463, 269, 4107, 540, 519, 942, 267, 1498, 267, 972, 616, 7899, 540, 2834, 2835, 543, 7270, 1141, 4896, 666, 1376, 1565, 2439, 3086, 602, 4911, 11253, 1185, 13603, 1200, 5396, 267, 1352, 798, 557, 4514, 883, 4974, 873, 269, 5994, 3695, 9343, 543, 9343, 540, 2835, 4904, 609, 2984, 543, 5013, 7996, 547, 581, 20114, 269, 16514, 6972, 1524, 1279, 5399, 513, 529, 956, 2394, 596, 6368, 3914, 707, 5551, 3296, 1107, 3085, 1405, 602, 3280, 13858, 26834, 901, 851, 540, 519, 1184, 568, 1454, 899, 6061, 513, 9814, 610, 2650, 1424, 1927, 2694, 540, 513, 11015, 269, 1656, 7058, 1018, 286, 1411, 666, 798, 713, 3169, 1482, 3364, 693, 707, 2199, 5399, 610, 1256, 1318, 693, 1753, 1210, 3059, 2200, 2439, 5475, 11018, 782, 12204, 540, 1344, 267, 4911, 11253, 3459, 2324, 593, 1200, 5863, 13144, 269, 4635, 1585, 2553, 267, 971, 607, 1818, 29586, 1957, 543, 8888, 2189, 12622, 902, 267, 1352, 9927, 8723, 9212, 540, 1957, 883, 10875, 1568, 540, 1148, 269, 3962, 4062, 5143, 922, 1378, 1650, 827, 1272, 538, 3504, 7507, 543, 13473, 13588, 827, 14758, 8153, 3344, 540, 1686, 780, 3383, 267, 875, 666, 596, 1246, 538, 4911, 11253, 781, 3723, 25074, 286, 3399, 676, 4466, 1945, 602, 22992, 4690, 596, 269, 9320, 621, 779, 17878, 267, 2230, 3408, 267, 610, 5310, 1256, 10120, 29843, 269, 4495, 596, 4584, 707, 1888, 267, 3643, 707, 1153, 610, 2146, 5399, 547, 3605, 1018, 2835, 543, 2228, 2200, 616, 2139, 269, 6875, 4967, 267, 2721, 5961, 267, 610, 1711, 2247, 7851, 547, 948, 10891, 3388, 596, 1451, 269, 3973, 267, 2671, 707, 4681, 609, 1866, 998, 12400, 267, 1019, 528, 24252, 267, 19297, 267, 610, 2854, 5359, 269, 5808, 6487, 286, 2659, 6612, 543, 5876, 949, 8300, 1866, 1175, 899, 4911, 11253, 814, 6273, 721, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 310, 761, 902, 676, 4911, 11253, 22784, 333, 345, 454, 9209, 626, 781, 7734, 910, 1280, 19768, 540, 513, 14568, 8745, 454, 9209, 626, 781, 7734, 910, 1280, 19768, 540, 513, 14568, 8745, 454, 2421, 4911, 11253, 22784, 333, 345, 454, 15100, 476, 1220, 273, 4911, 11253, 22784, 333, 345, 454, 10932, 538, 519, 3718, 454, 2421, 4911, 11253, 22784, 333, 345, 454, 296, 798, 711, 1419, 5077, 10475, 22251, 538, 8021, 269, 15394, 10063, 2388, 610, 1098, 10012, 2886, 616, 3254, 547, 3173, 267, 7620, 693, 2547, 269, 22419, 991, 513, 2731, 1434, 2601, 267, 543, 1419, 22754, 267, 547, 5077, 2025, 610, 10347, 1568, 269, 1809, 14046, 4704, 1568, 32736, 538, 1930, 588, 2931, 540, 1857, 8021, 543, 538, 4760, 4930, 1631, 2139, 593, 519, 5769, 269, 7046, 588, 2931, 16298, 5458, 5399, 6821, 538, 512, 4536, 1522, 607, 1134, 581, 513, 575, 712, 5471, 1426, 900, 1602, 807, 2073, 585, 930, 5686, 540, 1433, 19095, 267, 693, 2547, 269, 769, 519, 1930, 588, 2931, 540, 519, 5246, 580, 4883, 553, 1470, 7732, 540, 645, 860, 3534, 267, 594, 31570, 519, 700, 4141, 321, 3126, 540, 5259, 543, 5824, 1568, 267, 12261, 883, 2296, 267, 585, 19528, 540, 4936, 14589, 16979, 946, 585, 654, 1314, 8871, 2478, 1496, 8201, 476, 274, 269, 273, 316, 543, 585, 8100, 547, 31914, 10118, 543, 2038, 23234, 585, 8644, 516, 343, 9891, 529, 1496, 8201, 476, 274, 269, 274, 4940, 634, 6667, 585, 1312, 1346, 530, 334, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 4437, 7240, 1315, 10201, 622, 3778, 22335, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 1691, 281, 10266, 5004, 910, 589, 14265, 1017, 1306, 1051, 540, 6481, 5516, 692, 5331, 596, 4312, 10413, 707, 12597, 1247, 4730, 13558, 1282, 12424, 269, 744, 1276, 256, 2334, 1590, 723, 10413, 3833, 513, 3787, 267, 1318, 286, 1809, 1018, 952, 594, 5143, 596, 602, 972, 616, 4648, 945, 4142, 6510, 741, 2729, 547, 1620, 1928, 543, 4466, 2081, 547, 948, 1004, 1745, 1732, 1310, 7063, 610, 23361, 286, 1452, 3782, 12325, 960, 24091, 547, 2327, 602, 649, 1810, 1405, 723, 547, 7985, 811, 982, 2556, 269, 2290, 971, 1858, 789, 20647, 538, 568, 1572, 1412, 335, 664, 2359, 9538, 2913, 781, 4685, 4514, 883, 713, 4241, 1158, 2439, 2691, 649, 2911, 827, 1928, 2359, 267, 2523, 1369, 519, 2796, 540, 2564, 5773, 899, 23361, 267, 649, 1419, 7237, 2474, 899, 23236, 543, 1387, 2471, 807, 269, 5213, 1405, 5855, 282, 891, 1913, 5749, 1405, 607, 7294, 607, 789, 3280, 2439, 2304, 17561, 630, 25669, 281, 606, 268, 7795, 7308, 324, 22271, 327, 7795, 264, 568, 513, 1259, 547, 2061, 610, 2569, 1928, 1282, 4238, 676, 1210, 1808, 11955, 269, 5994, 2348, 513, 5694, 15504, 693, 519, 11290, 1107, 9327, 1405, 621, 581, 1390, 952, 596, 7948, 1405, 1745, 4376, 693, 782, 1247, 789, 5249, 593, 707, 5694, 286, 2334, 781, 4010, 1018, 23236, 1281, 256, 898, 1003, 2125, 519, 1858, 1141, 519, 5650, 786, 1491, 1747, 865, 602, 596, 4465, 1405, 1745, 1022, 9636, 269, 6884, 267, 1498, 267, 7189, 991, 547, 2322, 2550, 4625, 18069, 585, 1978, 23361, 267, 799, 568, 849, 6913, 998, 23236, 780, 2304, 531, 2471, 807, 630, 25669, 281, 606, 17038, 268, 32607, 22271, 327, 7795, 1070, 593, 519, 824, 1688, 267, 6212, 9003, 593, 17212, 1324, 1928, 1510, 4929, 3207, 1465, 610, 2530, 540, 9637, 269, 1411, 1522, 723, 4862, 827, 2921, 1612, 659, 564, 600, 565, 610, 16481, 1575, 19745, 523, 950, 596, 723, 513, 15677, 610, 8611, 269, 8409, 616, 2965, 1455, 3029, 540, 1387, 2471, 545, 6646, 256, 1358, 948, 6175, 519, 14815, 540, 1928, 538, 938, 4703 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4950, 21287, 676, 3584, 32404, 606, 1557, 593, 513, 18322, 540, 6082, 269, 16684, 2689, 538, 8087, 2829, 1686, 543, 2229, 3561, 2861, 1557, 519, 8087, 2829, 538, 18322, 19632, 4927, 2760, 4497, 538, 513, 2112, 269, 5192, 339, 903, 7921, 2232, 1557, 538, 1931, 547, 26924, 519, 1279, 3856, 11091, 540, 519, 1079, 31585, 540, 13274, 11181, 781, 1205, 339, 903, 7921, 2232, 538, 519, 5399, 540, 18322, 2055, 269, 5788, 5635, 519, 8129, 543, 2164, 540, 519, 11549, 1415, 18322, 267, 519, 16826, 957, 18322, 267, 543, 519, 1101, 18626, 18322, 269, 4828, 2055, 519, 11156, 2322, 18322, 693, 519, 4099, 540, 7819, 2229, 1592, 930, 540, 519, 7060, 11292, 676, 519, 11156, 896, 2376, 476, 272, 267, 3296, 476, 279, 563, 268, 476, 1839, 1557, 3584, 585, 7819, 2229, 5049, 596, 2811, 10478, 585, 1557, 3584, 547, 3651, 547, 707, 1058, 2165, 7182, 581, 1128, 21114, 585, 2818, 540, 18322, 563, 268, 11957, 540, 18322, 3594, 514, 3069, 267, 18322, 729, 2919, 676, 938, 15713, 18971, 547, 581, 606, 3608, 1062, 540, 9777, 2209, 2324, 1927, 547, 1711, 4031, 563, 268, 3194, 1369, 7172, 4115, 5498, 21124, 1382, 3584, 593, 721, 15424, 7936, 540, 2229, 689, 519, 1391, 807, 2228, 5399, 267, 1519, 2407, 17856, 2228, 2835, 563, 288, 17989, 990, 1770, 476, 275, 1557, 2055, 23345, 676, 620, 6975, 323, 1263, 1644, 18322, 849, 19330, 519, 942, 547, 5693, 27774, 1169, 1469, 585, 1169, 6364, 585, 1169, 3609, 621, 269, 2136, 2829, 2229, 543, 6214, 476, 1001, 275, 1863, 268, 24978, 2055, 18322, 543, 519, 7022, 1312, 723, 513, 1909, 538, 1818, 4914, 3609, 269, 8382, 547, 1557, 2055, 281, 18322, 543, 533, 32031, 1449, 8846, 281, 606, 1557, 1058, 581, 6896, 538, 693, 2547, 1614, 269, 3399, 4974, 1557, 2243, 476, 279, 2275, 784, 816, 540, 642, 19652, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 563, 13625, 2055, 593, 18322, 305, 730, 476, 275, 270, 276, 1759, 593, 476, 1428, 2689, 0, 295, 27622, 18682, 16772, 3594, 281, 936, 476, 5197, 267, 1822, 4630, 334, 18682, 16772, 3594, 267, 4630, 334, 18682, 16772, 2165, 4574, 267, 4630, 334, 18682, 16772, 1382, 1957, 267, 1433, 5359, 476, 7277, 476, 31275, 3594, 267, 2165, 543, 1382, 4574, 2139, 585, 19957, 1569, 269, 3367, 713, 1557, 593, 4630, 334, 4630, 334, 18682, 16772, 849, 1634, 607, 968, 3772, 812, 892, 538, 32204, 610, 538, 824, 1913, 519, 23481, 562, 32393, 1155, 3621, 2012, 585, 519, 1480, 2249, 269, 7046, 3561, 2630, 568, 606, 1557, 593, 4630, 334, 18682, 1329, 689, 4550, 3594, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 563, 15900, 2413, 4630, 334, 18682, 16772, 513, 26270, 1004, 2221, 616, 9286, 607, 4630, 334, 18682, 16772, 938, 2249, 540, 3425, 1101, 3459, 547, 11457, 5176, 476, 1220, 267, 1822, 1296, 3516, 538, 7681, 609, 4066, 711, 7429, 1346, 540, 519, 2038, 683, 663, 1068, 1023, 269, 32363, 517, 4757, 3377, 24393, 616, 25102, 6510, 713, 1557, 2418, 543, 824, 1950, 2093, 602, 2408, 547, 581, 19918, 1480, 4630, 334, 18682, 16772, 568, 796, 23896, 2406, 7429, 1022, 269, 1280, 713, 1557, 1775, 723, 6074, 519, 3662, 917, 607, 519, 1480, 267, 4630, 334, 18682, 16772, 519, 1480, 568, 513, 1360, 1455, 1826, 540, 4552, 1652, 929, 1493, 922, 8760, 568, 10806, 3662, 807, 267, 18105, 636, 16147, 1092, 267, 1362, 25850, 807, 267, 1931, 28516, 267, 1920, 4630, 3626, 728, 320, 267, 12593, 4630, 334, 267, 1179, 269, 21690, 9661, 540, 14447, 7141, 945, 2501, 856, 267, 3217, 4960, 593, 2648, 1224, 1455, 2631, 2923, 781, 1138, 517, 5288, 519, 4630, 334, 18682, 16772, 16786, 2689, 267, 2085, 12773, 267, 543, 3237, 3391, 563, 306, 777, 16772, 281, 513, 5618, 1686, 540, 30768, 676, 586, 340, 1998, 1100, 1695, 3771, 926, 267, 2689, 281, 1412, 4026, 550, 2055, 262, 1010, 3932, 568, 602, 4630, 334, 18682, 16772, 1223, 581, 827, 547, 1689, 269, 30941, 18682, 16772, 3954, 529, 13960, 267, 610, 519, 875, 5702, 1644, 2413, 3425, 616, 547, 950, 3379, 547, 1114, 4630, 334, 2249, 952, 596, 616, 519, 3312, 5856, 540, 713, 1557, 269, 30941, 18682, 16772, 568, 519, 9836, 2012, 1031, 538, 30953, 630, 10193, 1634, 607, 23481, 562, 32393, 1155, 264, 585, 519, 1152, 31607, 1480, 2249, 519, 269, 30941, 18682, 16772, 9859, 676, 281, 562, 1731, 7637, 639, 2520, 344, 9071, 531, 614, 11964, 281, 1557, 4670, 267, 3500, 21576, 15951, 519, 1948, 7906, 1655, 4670, 540, 476, 1001, 277, 267, 543, 1948, 23841, 272, 538, 519, 563, 14549, 4720, 568, 519, 6211, 543, 2686, 1646, 540, 519, 2249, 4630, 334, 18682, 16772, 18682, 16772, 267, 610, 1480, 7919, 1557, 270, 3410, 1957, 281, 1480, 4720, 1557, 269, 28668, 6054, 12779, 26585, 6054, 910, 1200, 1729, 4630, 334, 18682, 16772, 543, 519, 4098, 540, 812, 1923, 476, 6200, 4097, 280, 277, 269, 3367, 713, 2257, 1557, 543, 936, 476, 6434, 267, 1822, 824, 1382, 6054, 4630, 334, 16245, 639, 5288, 4630, 334, 18682, 1329, 4630, 334, 16245, 639, 11478, 1063, 476, 273, 2929, 543, 476, 6110, 267, 1822, 1296, 3516, 267, 855, 789, 616, 2808, 4277, 569, 2147, 547, 721, 3425, 563, 1692, 1705, 5601, 1711, 4630, 334, 18682, 16772, 998, 4720, 538, 519, 3105, 1557, 538, 713, 3126, 593, 4720, 543, 22344, 5132, 267, 1775, 6045, 602, 606, 2272, 540, 6211, 4720, 666, 581, 11028, 4290, 539, 609, 513, 7347, 1620, 540, 5601, 779, 1364, 775, 267, 1317, 5601, 6411, 607, 513, 16637, 550, 2014, 945, 666, 960, 538, 543, 998, 519, 562, 2137, 540, 1010, 7068, 269, 28668, 476, 9818, 271, 268, 272, 2887, 476, 1001, 275, 1353, 3391, 3018, 476, 277, 1883, 2474, 693, 26245, 331, 4630, 334, 16245, 639, 7199, 5160, 8367, 28580, 650, 612, 1193, 4575, 536, 21317, 20516, 8367, 269, 5131, 1557, 281, 972, 568, 2963, 547, 2303, 602, 4630, 334, 683, 6387, 11209, 18424, 543, 4630, 334, 18682, 16772, 1185, 17706, 13554, 585, 5111, 476, 3374, 268, 2412, 267, 1822, 1296, 267, 630, 325, 12298, 476, 1001, 271, 264, 689, 563, 16631, 814, 6045, 1480, 4720, 543, 519, 6228, 540, 4630, 334, 18682, 16772, 19918, 689, 824, 649, 786, 2328, 513, 2688, 1557, 3732, 593, 2038, 4630, 334, 4481, 585, 596, 269, 3807, 899, 666, 1149, 267, 4630, 334, 1606, 777, 16772, 2671, 513, 6240, 1572, 3640, 15859, 543, 9420, 24150, 789, 4043, 547, 15859, 1947, 13789, 538, 513, 1259, 602, 1034, 824, 1004, 798, 269, 30941, 683, 6387, 11209, 18424, 910, 519, 683, 6387, 628, 1023, 538, 513, 1259, 789, 616, 899, 721, 519, 2413, 4630, 334, 18682, 16772, 855, 519, 2518, 17537, 536, 3510, 1072, 543, 1514, 1416, 1557, 269, 1215, 547, 2328, 32204, 4408, 540, 2249, 1496, 3349, 540, 9115, 316, 1496, 23486, 4528, 316, 23481, 513, 5432, 1383, 568, 602, 540, 1480, 7919, 267, 4630, 334, 18682, 16772, 563, 4942, 3342, 28441, 1557, 593, 4630, 334, 1099, 16307, 4630, 334, 18682, 16772, 568, 3621, 32204, 2012, 4947, 689, 737, 22611, 1899, 272, 267, 536, 264, 540, 873, 327, 27622, 18682, 16772, 568, 1152, 17005, 1179, 773, 689, 12593, 269, 769, 519, 20344, 543, 2820, 514, 1436, 540, 812, 267, 519, 1101, 1900, 568, 547, 9004, 1010, 28458, 569, 2470, 519, 12880, 538, 28458, 568, 28877, 267, 28877, 4611, 547, 269, 1215, 723, 4630, 334, 18682, 16772, 7960, 3594, 26238, 519, 1101, 4630, 334, 18682, 16772, 7960, 689, 4630, 334, 16245, 639, 1472, 476, 8517, 267, 1822, 1296, 3516, 3425, 723, 16941, 593, 741, 1907, 2679, 5759, 547, 3262, 2429, 513, 1158, 789, 1131, 4166, 2097, 547, 20441, 563, 14549, 1514, 640, 620, 534, 2985, 535, 529, 651, 519, 7915, 1914, 1464, 540, 4630, 334, 18682, 16772, 713, 1557, 568, 513, 2110, 4367, 547, 22228, 3631, 3069, 543, 519, 2963, 5885, 621, 269, 476, 1911, 260, 22637, 12905, 6765, 540, 2688, 4574, 513, 2319, 540, 19579, 543, 4810, 5830, 1942, 15807, 5777, 585, 1557, 2533, 3312, 543, 2189, 1543, 269, 4173, 3185, 2720, 941, 476, 2764, 17744, 1279, 543, 941, 3160, 547, 1346, 540, 519, 10545, 4630, 334, 3110, 18442, 982, 4630, 334, 18682, 16772, 1557, 3732, 593, 4630, 334, 1166, 2803, 16772, 529, 269, 0, 29638, 8635, 4016, 547, 519, 4008, 1759, 8635, 1996, 2021, 2021, 616, 1419, 17792, 540, 741, 1514, 267, 2686, 267, 2804, 267, 543, 2797, 2924, 3056, 547, 513, 269, 5131, 8990, 4574, 267, 3594, 267, 543, 1382, 4574, 8990, 543, 15859, 538, 519, 14552, 1989, 9404, 781, 524, 785, 699, 12848, 910, 607, 1453, 269, 10749, 2035, 642, 539, 553, 20562, 515, 517, 8990, 267, 519, 24569, 1379, 676, 795, 599, 541, 600, 642, 538, 519, 1439, 8990, 568, 1018, 11438, 596, 2509, 707, 3853, 269, 7170, 281, 3259, 2681, 12773, 2433, 1557, 593, 8990, 540, 7636, 2597, 540, 513, 3940, 676, 15074, 19288, 910, 4367, 22729, 540, 5946, 568, 606, 1898, 563, 27736, 10918, 7047, 2638, 719, 3781, 1354, 12031, 8878, 7389, 476, 1001, 277, 28831, 1557, 593, 812, 10530, 2648, 10388, 1557, 3381, 3014, 8990, 4001, 269, 4828, 281, 875, 547, 2911, 547, 707, 3214, 827, 1920, 8213, 8990, 593, 1557, 2489, 1557, 2495, 1557, 827, 10168, 538, 547, 6146, 513, 27629, 18405, 269, 10318, 1588, 1557, 1010, 1453, 779, 685, 1272, 1732, 982, 1010, 1378, 607, 513, 1126, 267, 855, 646, 1577, 1010, 4568, 8213, 1205, 538, 519, 1259, 540, 4758, 1010, 3214, 563, 291, 20986, 568, 13197, 513, 3804, 609, 1648, 543, 1445, 621, 8952, 721, 16119, 10704, 593, 513, 6074, 3483, 621, 568, 519, 1907, 649, 946, 547, 1832, 14710, 689, 4742, 8628, 269, 476, 9873, 273, 10530, 723, 1044, 28562, 607, 8990, 281, 949, 320, 21425, 537, 281, 2048, 322, 5971, 568, 519, 1034, 1271, 540, 782, 519, 21644, 1317, 1510, 10100, 267, 596, 666, 1405, 1316, 545, 269, 8682, 24148, 5012, 547, 1967, 678, 639, 8688, 544, 4115, 928, 887, 326, 22603, 6499, 1200, 1079, 1453, 547, 917, 789, 786, 2141, 723, 513, 1753, 1141, 4945, 1934, 547, 1224, 1200, 1557, 269, 16294, 8990, 281, 5070, 571, 781, 8990, 547, 1628, 3214, 262, 6015, 543, 5000, 873, 998, 23434, 11710, 689, 1200, 1378, 606, 13016, 10004, 610, 1557, 269, 7457, 547, 936, 476, 1911, 267, 1822, 2347, 3594, 543, 2165, 4574, 519, 2833, 1775, 723, 1185, 609, 519, 3214, 6026, 803, 811, 5539, 1287, 782, 1250, 1296, 540, 1153, 563, 20236, 24148, 585, 1647, 543, 1164, 1153, 1053, 713, 1888, 7710, 875, 1582, 24148, 734, 6518, 2164, 689, 519, 1646, 540, 1582, 12635, 267, 1582, 18221, 269, 769, 713, 2689, 1775, 786, 581, 11093, 606, 8561, 593, 1582, 24148, 713, 1557, 814, 1044, 538, 519, 8087, 10806, 621, 568, 25471, 585, 782, 1453, 547, 4309, 269, 1284, 991, 547, 960, 593, 3318, 6959, 585, 513, 6051, 540, 24299, 543, 835, 568, 547, 2611, 519, 3056, 2110, 1557, 593, 8613, 585, 3214, 1603, 1931, 7294, 543, 269, 10318, 1588, 1631, 3314, 267, 950, 1919, 1413, 3983, 543, 621, 5654, 899, 596, 2811, 711, 27613, 1118, 621, 267, 1287, 596, 575, 27198, 1205, 1611, 1775, 1611, 726, 3518, 267, 14834, 1673, 690, 1611, 269, 3220, 3284, 329, 15995, 592, 737, 15401, 2110, 1557, 952, 1250, 8990, 547, 536, 327, 698, 520, 2206, 327, 7005, 1557, 268, 2110, 1557, 593, 536, 327, 698, 520, 2206, 327, 585, 3214, 693, 531, 1979, 327, 926, 642, 1690, 335, 599, 2465, 563, 23763, 547, 4001, 707, 1453, 2418, 2630, 267, 596, 786, 1265, 4388, 267, 2645, 267, 543, 2200, 547, 4001, 873, 827, 8990, 1018, 568, 8990, 4214, 8990, 269, 901, 1557, 568, 827, 8990, 865, 1287, 649, 666, 2161, 602, 8990, 568, 1379, 543, 2838, 1142, 540, 1010, 3670, 1453, 547, 27655, 269, 1323, 1557, 593, 2182, 960, 585, 3214, 543, 1053, 2016, 1934, 7005, 267, 18008, 267, 2261, 27821, 267, 31448, 267, 4731, 599, 15401, 267, 512, 7056, 267, 22007, 30253, 267, 1028, 1868, 324, 267, 23882, 267, 5309, 20602, 328, 267, 24141, 267, 19967, 543, 811, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 606, 631, 6993, 269, 538, 14913, 7489, 5525, 689, 17459, 23117, 728, 267, 543, 568, 11264, 1200, 12031, 593, 19176, 1977, 2797, 1641, 8481, 8198, 31409, 18722, 267, 22569, 1441, 18877, 281, 14484, 687, 593, 519, 17959, 543, 24619, 540, 2817, 1143, 630, 26780, 281, 12411, 334, 267, 476, 1960, 272, 1070, 476, 14321, 563, 589, 837, 517, 267, 22569, 1441, 18877, 267, 476, 14378, 563, 2558, 17554, 356, 333, 570, 12782, 511, 645, 383, 361, 333, 327, 267, 634, 4414, 3047, 281, 589, 19176, 6490, 7546, 540, 5020, 593, 513, 20616, 11676, 828, 7233, 566, 630, 288, 1492, 985, 281, 11882, 2160, 3933, 21106, 538, 4139, 5525, 267, 476, 2735, 276, 1070, 476, 2420, 1700, 5952, 282, 14208, 14504, 978, 670, 10394, 10609, 20110, 328, 267, 968, 18693, 7240, 5711, 1686, 5967, 2223, 5967, 676, 2558, 836, 384, 495, 14504, 328, 2558, 17554, 356, 978, 8500, 12782, 483, 333, 267, 19176, 4144, 19166, 553, 5741, 267, 8303, 267, 5333, 267, 5988, 476, 1220, 276, 563, 774, 784, 577, 2967, 12736, 747, 752, 592, 267, 968, 16240, 693, 519, 3955, 560, 1182, 281, 14913, 7489, 16024, 2103, 543, 5403, 20139, 2876, 1559, 538, 14913, 5607, 892, 538, 1715, 6833, 23230, 538, 14913, 7489, 3778, 267, 1196, 269, 26512, 13669, 756, 543, 18000, 9149, 758, 661, 324, 630, 288, 1492, 985, 281, 11882, 2160, 4964, 267, 476, 1220, 274, 1070, 476, 274, 1700, 276, 563, 1280, 3332, 593, 2021, 779, 2833, 267, 1294, 7489, 6468, 2136, 540, 4993, 267, 10435, 6329, 281, 606, 16320, 1108, 540, 12591, 676, 543, 827, 7489, 1977, 2021, 630, 289, 10667, 281, 2142, 13154, 4964, 267, 476, 2735, 280, 5148, 2558, 836, 384, 495, 14504, 328, 2558, 17554, 356, 978, 8500, 12782, 483, 333, 267, 968, 309, 2884, 17592, 1977, 6468, 538, 519, 4639, 892, 538, 16262, 1108, 540, 6468, 538, 519, 4639, 267, 1196, 269, 23583, 25234, 5287, 630, 30210, 281, 590, 720, 23549, 267, 476, 1220, 274, 1299, 476, 1220, 277, 1040, 1280, 5711, 1686, 6386, 540, 19176, 4892, 267, 1294, 2558, 836, 384, 495, 14504, 328, 2558, 17554, 356, 978, 8500, 12782, 483, 333, 267, 968, 5804, 19974, 27884, 547, 17327, 3778, 19877, 338, 892, 538, 634, 17327, 3778, 5623, 476, 3066, 267, 1100, 269, 476, 273, 630, 11764, 1067, 1107, 4201, 4379, 267, 476, 1220, 273, 1070, 476, 15686, 1700, 14695, 282, 849, 267, 2558, 836, 384, 495, 14504, 328, 2558, 17554, 356, 978, 8500, 12782, 483, 333, 267, 968, 7775, 1052, 6019, 267, 14117, 3778, 281, 1323, 2271, 1493, 7402, 3300, 609, 19176, 1977, 22032, 2223, 1196, 269, 7338, 808, 269, 2605, 639, 857, 8457, 267, 4750, 540, 519, 5980, 540, 1977, 5246, 643, 1235, 476, 273, 267, 1100, 269, 476, 275, 630, 1220, 275, 1040, 1280, 1019, 19166, 545, 2021, 7231, 609, 2022, 21351, 8194, 267, 1294, 2558, 836, 384, 495, 14504, 328, 26909, 8124, 6874, 337, 17554, 356, 978, 8500, 12782, 483, 333, 630, 845, 28861, 2558, 836, 384, 495, 14504, 328, 2558, 17554, 356, 978, 8500, 12782, 483, 333, 1070, 968, 6637, 476, 1704, 267, 630, 18131, 264, 6406, 2103, 2991, 12668, 281, 7102, 13780, 3557, 1306, 6362, 585, 741, 1280, 326, 4369, 9495, 538, 1280, 326, 4369, 281, 1160, 6883, 519, 21940, 2456, 267, 1196, 269, 6424, 6519, 543, 15537, 5576, 592, 2006, 630, 18197, 8003, 281, 3955, 5937, 21326, 4964, 267, 476, 1220, 280, 1070, 476, 23417, 1700, 26631, 282, 543, 26909, 8124, 6874, 337, 17554, 356, 978, 8500, 12782, 483, 333, 267, 2558, 836, 384, 495, 14504, 328, 267, 968, 8698, 9557, 281, 4934, 540, 6560, 267, 513, 1007, 4287, 892, 538, 634, 15762, 26963, 334, 27392, 267, 2904, 476, 276, 267, 476, 1001, 273, 269, 1280, 21345, 8823, 543, 7215, 267, 1294, 2558, 836, 384, 495, 14504, 328, 26909, 8124, 6874, 337, 17554, 356, 978, 8500, 12782, 483, 333, 267, 968, 9209, 545, 6819, 4676, 1872, 15134, 640, 538, 8304, 333, 25567, 320, 543, 519, 4144, 19166, 553, 476, 3192, 276, 268, 1001, 276, 281, 3245, 23532, 4201, 16860, 547, 6820, 6250, 2225, 892, 538, 4750, 540, 14913, 7489, 1977, 4065, 543, 21992, 618, 476, 1015, 267, 1100, 269, 476, 272, 267, 2376, 476, 276, 630, 1001, 276, 1070, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 6507, 278, 272, 270, 21497, 274, 268, 279, 4200, 280, 269, 12208, 271, 563, 9294, 2993, 918, 756, 6319, 267, 7731, 570, 697, 549, 701, 281, 634, 21744, 22032, 540, 19176, 4892, 630, 32459, 17662, 267, 1715, 14948, 281, 23134, 2160, 4964, 267, 476, 1960, 274, 1040, 4746, 267, 26637, 6970, 17839, 267, 3057, 3250, 320, 670, 269, 932, 1195, 267, 543, 3627, 918, 269, 18724, 3467, 267, 5753, 540, 519, 4425, 520, 4658, 281, 589, 5530, 540, 12409, 11773, 630, 25486, 1488, 4011, 267, 12309, 281, 634, 2160, 540, 12309, 4964, 267, 476, 1960, 272, 1916, 2201, 4074, 9194, 1294, 10910, 864, 331, 6428, 1794, 541, 3474, 516, 10722, 553, 267, 4419, 1218, 540, 32501, 281, 6468, 267, 24779, 543, 23582, 4518, 630, 1805, 534, 5112, 281, 18628, 2160, 4964, 267, 476, 1220, 272, 5148, 26932, 334, 11370, 328, 267, 2037, 9679, 532, 19176, 20353, 7847, 538, 5125, 281, 23532, 853, 7950, 267, 8056, 580, 7949, 18882, 15881, 2510, 543, 3487, 658, 631, 27965, 267, 700, 3951, 7638, 25419, 28228, 333, 3122, 267, 476, 1220, 274, 282, 27813, 5576, 933, 6500, 267, 968, 763, 22252, 531, 19992, 519, 31131, 281, 634, 1133, 334, 24810, 20709, 25417, 19176, 14114, 1233, 539, 4825, 841, 24371, 538, 12670, 892, 630, 303, 571, 19241, 1731, 523, 1217, 11839, 21411, 517, 558, 773, 267, 796, 328, 1922, 3757, 31060, 19709, 267, 476, 1220, 275, 1070, 476, 7918, 1700, 3583, 282, 27813, 5576, 933, 6500, 267, 968, 763, 19176, 23532, 19004, 538, 12670, 281, 2920, 832, 267, 12832, 1127, 267, 543, 32085, 17435, 5014, 892, 630, 300, 698, 3563, 541, 18464, 270, 7246, 19080, 538, 17323, 267, 670, 3518, 1245, 339, 268, 26536, 18945, 1990, 340, 12670, 267, 2983, 1748, 529, 2583, 2382, 26623, 267, 476, 2918, 5988, 476, 1220, 276, 5148, 543, 3212, 328, 16644, 807, 28469, 267, 6820, 595, 785, 699, 961, 553, 630, 291, 584, 5069, 267, 3345, 10491, 281, 16099, 2160, 4964, 267, 476, 1220, 277, 1040, 2201, 7365, 9194, 1294, 589, 269, 654, 269, 19358, 543, 670, 269, 15651, 267, 968, 5804, 7861, 15501, 540, 23582, 20222, 547, 10318, 1441, 18763, 6468, 281, 1215, 19176, 8056, 580, 7949, 1975, 11817, 32468, 5573, 15990, 779, 24686, 1105, 531, 7731, 3590, 892, 538, 6468, 5525, 4139, 17072, 476, 4097, 267, 1100, 269, 476, 276, 630, 1001, 272, 1070, 476, 25396, 1700, 24496, 269, 2201, 24180, 4254, 1988, 1294, 5576, 30591, 30448, 267, 2441, 2088, 5576, 30591, 30448, 267, 968, 305, 996, 9722, 7489, 22994, 1988, 281, 31012, 24779, 543, 5403, 4149, 3469, 626, 3115, 27074, 566, 540, 19176, 20260, 20709, 538, 5101, 5125, 892, 538, 11879, 7489, 5525, 476, 5379, 267, 1100, 269, 476, 273, 630, 1001, 275, 1070, 476, 20720, 1700, 28670, 282, 1325, 6511, 918, 269, 1325, 600, 326, 597, 267, 968, 13434, 531, 31842, 7949, 6468, 281, 4139, 1143, 543, 519, 4414, 1030, 6873, 540, 28054, 7799, 1080, 538, 519, 16231, 657, 21754, 752, 13305, 2884, 17592, 8534, 16510, 5358, 892, 538, 23577, 545, 5623, 476, 10463, 267, 1100, 269, 476, 272, 630, 306, 7428, 476, 1001, 275, 1070, 476, 15836, 1700, 14028, 282, 543, 1325, 6511, 918, 269, 1325, 600, 326, 597, 267, 968, 305, 864, 568, 11992, 281, 1533, 1606, 3469, 626, 16809, 543, 519, 7292, 5314, 540, 19176, 4600, 538, 16231, 657, 21754, 25474, 892, 17813, 4147, 476, 7918, 267, 1100, 269, 476, 6858, 630, 1001, 274, 1070, 8222, 281, 476, 1015, 269, 14056, 278, 270, 27157, 277, 4375, 6924, 272, 31003, 277, 1704, 272, 563, 2558, 17554, 356, 978, 8500, 12782, 483, 333, 267, 968, 7775, 1052, 6019, 267, 14117, 3778, 2223, 476, 1220, 275, 563, 2558, 836, 384, 495, 14504, 328, 2558, 17554, 356, 978, 8500, 12782, 483, 333, 267, 968, 6701, 1703, 26419, 19176, 538, 13785, 9495, 27975, 1962, 697, 17976, 585, 519, 5441, 540, 28299, 1299, 4317, 7070, 267, 18799, 676, 519, 4741, 585, 17327, 1299, 5398, 3778, 267, 11483, 308, 9509, 30639, 267, 4989, 476, 1220, 276, 282, 2558, 836, 384, 495, 14504, 328, 2558, 17554, 356, 978, 8500, 12782, 483, 333, 267, 968, 12709, 538, 14351, 27048, 281, 19176, 15881, 2510, 540, 3690, 20139, 1143, 2223, 27975, 1962, 697, 10104, 12054, 14373, 269, 4972, 540, 4317, 28668, 267, 14351, 3128, 916, 10713, 527, 564, 267, 2904, 476, 1220, 276, 282, 2558, 836, 384, 495, 14504, 328, 2558, 17554, 356, 978, 8500, 12782, 483, 333, 267, 2108, 309, 2884, 20002, 267, 16402, 21708, 1848, 3171, 25733, 27975, 1962, 697, 3194, 19937, 269, 476, 7906, 560, 16316, 12670, 12054, 14373, 267, 4436, 27975, 1962, 697, 8189, 267, 5125, 267, 476, 1220, 276, 282, 2558, 836, 384, 495, 14504, 328, 2558, 17554, 356, 978, 8500, 12782, 483, 333, 267, 968, 3412, 332, 580, 7949, 1773, 8809, 320, 6363, 749, 3298, 2066, 519, 27397, 14924, 2223, 538, 2296, 609, 5758, 538, 26403, 1014, 269, 634, 4659, 540, 27397, 7256, 16323, 3778, 543, 26337, 267, 2160, 540, 918, 5055, 760, 20364, 267, 26403, 807, 267, 476, 1220, 278, 282, 2558, 836, 384, 495, 14504, 328, 26909, 8124, 6874, 337, 17554, 356, 978, 8500, 12782, 483, 333, 267, 968, 32391, 607, 22994, 1006, 281, 25613, 29545, 19176, 20353, 7847, 538, 589, 3690, 20139, 13751, 7799, 2692, 892, 630, 7246, 5098, 267, 2160, 540, 4993, 267, 23117, 728, 267, 476, 1001, 277, 5148, 2558, 836, 384, 495, 14504, 328, 26909, 8124, 6874, 337, 17554, 356, 978, 8500, 12782, 483, 333, 267, 968, 32391, 607, 22994, 1006, 31865, 2558, 836, 384, 495, 14504, 328, 26909, 8124, 6874, 337, 17554, 356, 978, 8500, 12782, 483, 333, 267, 968, 306, 638, 520, 1154, 538, 30101, 1242, 12670, 476, 3192, 276, 268, 1001, 276, 281, 19176, 3690, 20139, 13595, 2032, 538, 513, 29725, 12519, 17677, 10406, 892, 538, 7101, 673, 595, 3234, 11659, 267, 17136, 1948, 277, 630, 1001, 277, 1070, 476, 14530, 1700, 21172, 563, 13660, 570, 12782, 511, 700, 17845, 267, 968, 18693, 7240, 5711, 1686, 5967, 2223, 5967, 676, 2558, 836, 384, 495, 14504, 328, 26909, 8124, 6874, 337, 17554, 356, 978, 8500, 12782, 483, 333, 267, 19176, 1977, 5741, 267, 12567, 717, 17311, 267, 11404, 267, 5988, 476, 274, 267, 476, 1220, 273, 563, 2558, 17554, 356, 978, 8500, 12782, 483, 333, 267, 968, 7775, 1052, 6019, 267, 14117, 3778, 2223, 476, 1220, 275, 282, 26909, 8124, 6874, 337, 17554, 356, 978, 8500, 12782, 483, 333, 267, 968, 9209, 545, 6819, 4676, 1872, 15134, 640, 2223, 476, 1001, 276, 563, 29484, 8055, 267, 772, 928, 1597, 4886, 630, 288, 1492, 985, 281, 634, 2160, 540, 11908, 4964, 267, 476, 2735, 275, 5148, 23745, 4858, 684, 267, 634, 2271, 655, 704, 622, 14175, 10809, 630, 307, 7773, 20079, 281, 2160, 540, 16506, 4964, 267, 476, 1220, 273, 5148, 6754, 7605, 321, 1231, 267, 11572, 17905, 281, 589, 11879, 4985, 630, 295, 984, 7505, 281, 25067, 5174, 331, 871, 6202, 267, 476, 1220, 275, 1916, 12603, 654, 29868, 12462, 763, 12414, 892, 610, 968, 763, 12414, 19925, 14615, 630, 2735, 280, 1700, 1960, 271, 264, 4016, 547, 513, 7432, 1448, 538, 4436, 2797, 1686, 602, 7436, 519, 2347, 1184, 540, 1689, 689, 519, 4341, 540, 519, 31012, 30767, 9549, 540, 5125, 543, 513, 31344, 958, 9709, 4346, 547, 519, 25954, 540, 25931, 9111, 543, 2344, 4346, 538, 519, 4436, 14891, 6243, 563, 6307, 19958, 543, 26826, 8187, 822, 20391, 267, 11485, 543, 9177, 281, 1323, 4828, 593, 519, 19139, 540, 25895, 543, 7025, 667, 13377, 630, 29155, 18403, 281, 2160, 540, 4993, 4964, 267, 476, 2735, 273, 5148, 6307, 19958, 267, 11485, 20504, 1464, 4340, 547, 519, 4317, 7070, 630, 10048, 21908, 281, 634, 21651, 590, 720, 7690, 267, 476, 2735, 276, 5148, 661, 269, 4210, 344, 978, 539, 537, 342, 267, 715, 269, 1261, 2106, 523, 267, 543, 631, 269, 18087, 11986, 267, 769, 519, 7186, 540, 20079, 281, 12124, 11572, 17905, 543, 519, 15348, 540, 12124, 5450, 29440, 630, 6124, 3840, 281, 30296, 267, 476, 1220, 277, 1916, 28741, 700, 1030, 20623, 341, 516, 267, 13360, 902, 593, 20079, 267, 1098, 269, 18479, 517, 648, 918, 1993, 2006, 543, 10906, 2274, 21353, 630, 23682, 5112, 281, 4563, 6202, 14539, 267, 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 ]
[ 634, 4976, 568, 606, 25819, 540, 476, 275, 10578, 18697, 602, 786, 3986, 707, 4819, 781, 1702, 543, 5759, 269, 634, 3211, 616, 6035, 538, 1646, 958, 3617, 8747, 585, 3214, 540, 1114, 6502, 269, 17006, 543, 18946, 9981, 3211, 538, 1082, 9832, 1519, 513, 1297, 540, 5079, 585, 24324, 946, 563, 2791, 666, 2253, 609, 519, 26627, 27664, 17400, 1161, 543, 1310, 602, 1847, 4464, 609, 519, 27608, 17400, 1161, 269, 29986, 585, 3214, 786, 849, 581, 2864, 2241, 547, 1020, 538, 971, 513, 6752, 269, 1403, 596, 2811, 606, 2937, 543, 6999, 547, 2333, 707, 13002, 267, 621, 666, 581, 12913, 269, 1306, 513, 1267, 267, 538, 519, 2680, 602, 596, 2731, 6999, 547, 3986, 13002, 540, 707, 4819, 267, 31657, 547, 2263, 519, 5383, 540, 606, 10995, 1565, 1907, 1631, 2336, 13706, 875, 596, 6999, 547, 17492, 707, 4357, 5132, 3948, 269, 6884, 5022, 723, 547, 581, 14661, 547, 3514, 538, 513, 1880, 2230, 269, 1879, 513, 4484, 1281, 711, 723, 1022, 7299, 338, 899, 513, 3854, 589, 610, 966, 267, 519, 1360, 1101, 15497, 8482, 568, 9833, 607, 519, 6565, 269, 634, 4448, 543, 1793, 5896, 5022, 786, 581, 3833, 2241, 547, 1106, 2899, 519, 1082, 5546, 556, 19927, 1134, 269, 4634, 1945, 607, 2653, 607, 27378, 519, 4098, 4484, 540, 1279, 1913, 666, 4217, 707, 1126, 2087, 1010, 18551, 5759, 269, 18827, 8018, 5455, 1677, 476, 1015, 563, 2467, 3884, 1405, 4376, 899, 513, 24077, 1650, 267, 543, 4986, 899, 1373, 519, 1268, 945, 3323, 513, 12021, 4683, 10828, 269, 5463, 4575, 2390, 519, 4998, 1935, 8905, 595, 27641, 1603, 568, 10416, 8678, 5346, 13002, 269, 6657, 2542, 676, 3054, 607, 1419, 607, 2009, 563, 10932, 4683, 17691, 547, 3489, 513, 1523, 540, 1018, 781, 856, 972, 1991, 547, 1818, 513, 1007, 835, 269, 1411, 616, 1869, 711, 2386, 519, 18119, 723, 519, 1697, 2856, 269, 28900, 267, 596, 4465, 1405, 946, 519, 5354, 540, 707, 2093, 269, 1403, 596, 4312, 3893, 606, 2856, 585, 513, 1907, 5225, 1217, 721, 269, 2334, 1797, 596, 666, 2253, 1318, 1141, 596, 616, 1100, 2339, 875, 2370, 596, 1522, 1745, 596, 4312, 3893, 547, 2285, 269, 1411, 616, 849, 3833, 19035, 540, 1022, 12316, 6521, 269, 769, 4505, 2053, 596, 4312, 7150, 602, 519, 1847, 540, 7115, 949, 581, 1932, 2038, 563, 10376, 3992, 538, 13002, 1058, 1376, 593, 513, 4195, 1007, 2985, 267, 865, 519, 2370, 835, 3587, 2614, 4055, 547, 2259, 269, 5272, 13002, 3992, 1058, 2253, 609, 519, 26897, 269, 29986, 1565, 568, 1175, 835, 540, 519, 1034, 1271, 1565, 2115, 540, 513, 4819, 269, 4804, 875, 547, 1224, 3884, 1405, 1175, 4101, 267, 855, 1187, 1932, 563, 763, 946, 540, 21870, 634, 946, 540, 21870, 568, 4105, 538, 15980, 707, 1126, 1451, 547, 13724, 13002, 269, 4746, 267, 7703, 538, 2247, 602, 6148, 707, 1360, 1101, 2119, 693, 23730, 949, 711, 3142, 4376, 4143, 267, 855, 1810, 1405, 3247, 3843, 269, 4495, 596, 616, 2111, 547, 960, 267, 596, 1522, 581, 14281, 875, 1454, 596, 1205, 2944, 269, 6875, 883, 7156, 875, 596, 1745, 827, 3054, 269, 15775, 2111, 547, 12189, 519, 9477, 2337, 3514, 811, 5022, 538, 513, 2370, 2230, 610, 3262, 856, 5022, 952, 789, 2811, 1932, 9395, 269, 12344, 596, 1590, 21821, 519, 5351, 540, 1776, 812, 547, 5000, 610, 948, 596, 1832, 5059, 563, 3849, 1288, 8018, 5455, 1677, 476, 1015, 269, 8347, 547, 3314, 267, 596, 2141, 723, 547, 1416, 585, 707, 1126, 609, 5863, 1416, 267, 8296, 543, 15754, 547, 581, 2111, 547, 948, 1864, 1451, 269, 1411, 949, 849, 2307, 707, 4819, 781, 4116, 585, 3063, 3211, 269, 2659, 5067, 610, 8250, 568, 711, 2469, 547, 1175, 1451, 513, 1114, 4990, 540, 13944, 855, 538, 1840, 1451, 875, 547, 2328, 12461, 14688, 1317, 25777, 1603, 568, 3833, 4190, 547, 2638, 856, 269, 1306, 513, 1267, 267, 952, 513, 4819, 568, 2907, 7092, 689, 11838, 1010, 13002, 786, 9090, 581, 4299, 269, 22353, 267, 547, 581, 2111, 547, 9585, 713, 267, 952, 1453, 616, 6026, 547, 1106, 1114, 5546, 538, 513, 5078, 6752, 267, 621, 568, 2469, 547, 5512, 873, 547, 17492, 519, 5022, 538, 513, 2731, 5347, 543, 2653, 1505, 269, 4014, 621, 666, 581, 20036, 1169, 942, 513, 27344, 3081, 646, 2196, 2740, 593, 519, 19209, 267, 1053, 1616, 547, 1174, 875, 547, 946, 2250, 13029, 865, 607, 547, 3717, 543, 2328, 7157, 269, 2913, 2161, 267, 596, 1131, 899, 547, 5818, 707, 5067, 781, 610, 8250, 781, 13002, 267, 621, 568, 855, 6654, 602, 596, 1616, 547, 2285, 707, 5067, 610, 8250, 7899, 540, 2259, 267, 607, 789, 2161, 267, 2259, 2306, 3501, 563, 21413, 18551, 1983, 267, 621, 781, 3592, 7543, 267, 2523, 585, 3214, 267, 547, 1451, 875, 547, 1224, 1007, 1913, 269, 9828, 547, 7435, 548, 23206, 12983, 898, 568, 5393, 1898, 602, 1058, 596, 3605, 707, 4819, 568, 538, 3430, 550, 633, 547, 1010, 1565, 2523, 950, 621, 814, 547, 798, 609, 2542, 543, 1603, 2152, 596, 1590, 2253, 2324, 593, 1585, 2081, 543, 547, 2087, 621, 269, 2422, 513, 2875, 781, 2012, 538, 1169, 4845, 865, 972, 781, 513, 2582, 4845, 585, 1142, 4819, 269, 5221, 646, 610, 1352, 16137, 693, 1010, 1378, 2557, 267, 972, 568, 930, 13260, 538, 519, 2085, 950, 513, 1126, 568, 4712, 547, 1451, 547, 1224, 269, 9752, 707, 4819, 547, 1106, 519, 26897, 568, 3833, 513, 7294, 2259, 563, 30475, 281, 1948, 18314, 7857, 1840, 4976, 258, 4118, 12408, 3211, 476, 272, 476, 1015, 258, 20625, 1840, 4976, 258, 15953, 338, 1840, 2979, 3211, 258, 13678, 921, 1840, 3211, 258, 3200, 673, 1840, 3211, 258, 15200, 476, 272, 1840, 3211, 258, 325, 684, 1840, 3211, 258, 611, 1288, 3211, 476, 271, 476, 1015, 258, 1817, 714, 7267, 1840, 3211, 0, 8368, 540, 12937, 10778, 12749, 21909, 687, 8018, 27884, 25595, 6840, 10778, 17582, 18694, 27884, 25595, 6840, 769, 12408, 23021, 786, 2648, 6061, 513, 2241, 3830, 689, 513, 1134, 1634, 1650, 538, 713, 2979, 10742, 9423, 4976, 1453, 1101, 4194, 519, 3830, 676, 5373, 513, 4605, 1287, 676, 901, 4976, 585, 1101, 543, 2034, 17603, 12857, 1053, 547, 606, 1271, 851, 540, 4729, 543, 9423, 676, 2542, 5708, 32461, 538, 824, 1913, 519, 2014, 543, 1198, 3214, 786, 1224, 1306, 851, 540, 3646, 547, 31289, 519, 2360, 540, 519, 11452, 6855, 593, 519, 2729, 540, 1153, 1453, 8792, 5925, 1397, 6220, 4245, 9423, 1699, 12602, 543, 1289, 563, 17582, 18694, 27884, 25595, 6840, 901, 1592, 814, 1044, 8242, 585, 2887, 609, 3506, 2469, 6552, 610, 851, 942, 713, 2887, 547, 3247, 519, 3262, 540, 11452, 7982, 538, 15292, 950, 3506, 2066, 519, 2197, 9505, 741, 19235, 543, 4682, 6552, 1739, 519, 3262, 540, 519, 524, 10604, 476, 866, 6855, 2913, 707, 1453, 1491, 519, 1291, 543, 4585, 1018, 4523, 950, 596, 1451, 1510, 1153, 512, 903, 327, 807, 3824, 1090, 568, 513, 28479, 766, 5856, 543, 6216, 2054, 626, 609, 513, 6612, 585, 9423, 676, 1554, 1352, 3096, 1200, 563, 17582, 18694, 27884, 25595, 6840, 15638, 711, 547, 581, 14406, 616, 519, 544, 10185, 12311, 11888, 535, 27518, 9423, 543, 2707, 540, 1196, 583, 664, 618, 585, 1453, 1247, 789, 616, 12062, 532, 693, 1753, 606, 1271, 543, 14849, 12576, 1932, 602, 1100, 1306, 851, 540, 21099, 2244, 521, 11450, 609, 519, 3084, 7924, 3972, 3885, 538, 533, 2678, 28386, 849, 723, 1863, 1569, 547, 5691, 9423, 7886, 799, 1489, 1453, 521, 6947, 543, 17421, 554, 325, 3464, 4140, 344, 7573, 8423, 23137, 3595, 543, 15063, 3028, 521, 2069, 9614, 1767, 713, 568, 513, 1253, 7675, 543, 14845, 942, 585, 1453, 543, 649, 4126, 602, 998, 519, 1379, 540, 9423, 563, 16240, 12267, 6096, 5131, 28826, 4065, 454, 1805, 1559, 3657, 589, 4279, 10158, 1677, 5192, 2659, 8866, 19196, 1243, 1677, 3503, 1656, 3776, 21931, 5675, 6096, 1656, 28826, 5269, 898, 14168, 1677, 17546, 12708, 27884, 10341, 2060, 11242, 2672, 1243, 1280, 8479, 19536, 2986, 2353, 12698, 1452, 21931, 5675, 6096, 3629, 6657, 769, 12861, 16992, 14938, 9760, 15638, 769, 8298, 673, 11352, 1656, 1773, 4868, 2986, 11300, 5675, 8871, 14186, 1677, 27910, 2659, 4841, 454, 12626, 10507, 331, 27884, 6096, 4107, 8281, 539, 476, 29579, 454, 288, 14635, 2986, 2296, 10507, 331, 27884, 6096, 1280, 5851, 4804, 6732, 6657, 20028, 4804, 1656, 2296, 26643, 1677, 17546, 6168, 454, 1805, 800, 570, 2454, 6096, 10507, 331, 28826, 454, 11854, 1136, 6096, 9452, 570, 2454, 2677, 21564, 623, 923, 1656, 570, 2454, 9452, 2060, 589, 6651, 5426, 29329, 6520, 476, 1015, 476, 1704, 20042, 476, 15094, 11300, 30765, 589, 7689, 4643, 1280, 9452, 570, 2454, 5426, 16504, 6520, 476, 277, 476, 1704, 20042, 476, 14689, 17235, 570, 2454, 589, 9452, 5426, 29329, 6520, 476, 1428, 476, 1911, 20042, 476, 14341, 476, 1240, 14886, 1222, 14295, 9398, 476, 274, 9664, 476, 272, 2986, 476, 273, 5675, 570, 2454, 12267, 3414, 16103, 476, 273, 454, 1015, 27884, 11242, 1280, 8866, 5994, 11206, 454, 2080, 1772, 3776, 5903, 2986, 476, 1015, 27884, 11242, 1280, 8866, 17828, 1280, 27884, 4303, 476, 272, 27884, 8871, 14186, 808, 541, 3400, 321, 1323, 2506, 27679, 808, 541, 3245, 2659, 28881, 1656, 2368, 570, 1941, 5455, 26629, 806, 2986, 7433, 2201, 3962, 9540, 623, 19991, 2986, 7433, 3503, 589, 15932, 6478, 2107, 1912, 19189, 901, 16393, 2142, 32506, 6270, 1306, 9697, 25905, 2107, 589, 1912, 19189, 5903, 2986, 9452, 8871, 14186, 1280, 8866, 10925, 2353, 454, 10403, 15026, 6096, 1280, 8866, 4804, 15026, 454, 2171, 5620, 589, 7352, 1214, 2986, 5131, 15026, 6096, 1280, 8866, 1280, 14268, 11334, 23467, 1041, 619, 2107, 4033, 5516, 326, 1392, 1677, 2422, 2060, 8866, 1452, 6096, 1656, 15026, 11314, 25420, 3657, 2422, 995, 1677, 6435, 5753, 6657, 6206, 10341, 4804, 4024, 28161, 2859, 8342, 1403, 1411, 5700, 1215, 1677, 5269, 898, 2859, 12056, 1656, 1635, 29179, 23067, 1452, 8342, 6096, 2659, 8866, 4024, 2142, 2859, 4039, 1314, 539, 769, 23560, 634, 5530, 1805, 800, 14938, 9760, 11242, 667, 2741, 330, 8866, 454, 291, 2741, 330, 590, 27207, 1280, 8866, 14938, 9760, 11242, 1280, 8866, 9452, 14938, 9760, 28081, 589, 10022, 2986, 16514, 21998, 20553, 634, 8298, 673, 11352, 1677, 8073, 634, 9452, 3245, 22073, 1677, 7736, 901, 717, 1161, 634, 5753, 634, 26554, 1677, 23227, 622, 1656, 22365, 4403, 4256, 1234, 3712, 3005, 2986, 634, 9452, 2561, 956, 645, 1136, 13648, 625, 6426, 14088, 1656, 18832, 25424, 590, 18206, 9452, 2986, 20520, 22500, 12594, 717, 5424, 30103, 2494, 631, 20207, 16819, 20091, 6096, 28826, 4065, 454, 14611, 22830, 2986, 589, 9452, 8018, 901, 6301, 22830, 8018, 20929, 2659, 4132, 3414, 7335, 24366, 6657, 8281, 4653, 1677, 5192, 29035, 476, 273, 526, 6103, 7335, 5675, 8018, 4045, 634, 667, 1824, 22843, 8018, 4045, 634, 667, 1824, 22843, 901, 667, 3626, 4045, 634, 667, 1824, 13201, 634, 22843, 1280, 8866, 1677, 6657, 4256, 13722, 8865, 16707, 1656, 20963, 16359, 10341, 18014, 7335, 5675, 14112, 12267, 1280, 8866, 6258, 1263, 1501, 8866, 3703, 7027, 454, 17582, 19298, 2051, 28666, 14268, 2296, 20043, 1280, 5753, 589, 3022, 476, 277, 476, 1704, 29955, 2659, 4132, 11473, 9669, 5440, 9669, 8249, 29393, 8298, 769, 6178, 5455, 5240, 12072, 6258, 1263, 1501, 1855, 839, 9752, 1263, 1501, 6258, 1263, 1501, 1411, 3657, 3371, 5851, 19415, 1656, 13772, 10374, 12267, 1684, 1411, 6145, 23016, 1677, 1656, 7335, 12267, 7335, 12267, 1772, 589, 4279, 10158, 1677, 13724, 2659, 18500, 1656, 1284, 5620, 31849, 2986, 454, 297, 517, 1695, 1656, 634, 8262, 12551, 6096, 667, 2741, 330, 8866, 454, 31416, 18134, 8866, 16974, 667, 2741, 330, 6426, 667, 2741, 330, 21998, 667, 2741, 330, 32733, 667, 2741, 330, 17546, 17718, 29773, 3689, 3427, 10435, 14048, 325, 684, 13744, 1695, 12039, 5753, 590, 9452, 10658, 26072, 11819, 590, 6651, 667, 2741, 330, 590, 6426, 11242, 1280, 8866, 13744, 1695, 1656, 634, 8262, 12551, 6096, 1635, 2274, 22828, 2871, 550, 615, 454, 303, 27348, 9452, 6096, 10507, 331, 28826, 454, 303, 27348, 9452, 6096, 14970, 6096, 6096, 2334, 19415, 6096, 2334, 28423, 6096, 2334, 7763, 10675, 4841, 6096, 2334, 16440, 7433, 769, 330, 1656, 5384, 4400, 10866, 10507, 331, 7689, 12697, 5131, 27842, 476, 2918, 16840, 1222, 2142, 589, 14568, 11819, 25569, 338, 2986, 7689, 12697, 18049, 7335, 18500, 24935, 2353, 2060, 18043, 11819, 11872, 32087, 20023, 19369, 5384, 22490, 454, 17582, 18694, 27884, 25595, 6840, 269, 634, 4976, 568, 606, 25819, 540, 476, 275, 10578, 18697, 602, 786, 3986, 707, 4819, 781, 1702, 543, 5759, 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 ]
[ 543, 2527, 607, 519, 5279, 4299, 676, 519, 2361, 269, 634, 5467, 568, 9277, 547, 581, 1340, 531, 3511, 609, 21723, 2079, 543, 10169, 609, 2489, 267, 610, 513, 2547, 2027, 267, 25536, 269, 1403, 711, 267, 9978, 4039, 18356, 676, 631, 746, 3947, 513, 1434, 4367, 547, 891, 5396, 269, 1284, 786, 20301, 454, 32207, 958, 267, 17523, 543, 786, 581, 1031, 607, 546, 16244, 17523, 267, 1247, 543, 786, 581, 1031, 585, 10321, 543, 9937, 832, 563, 2252, 649, 10714, 519, 22441, 540, 2489, 25536, 519, 11973, 540, 2230, 6066, 581, 2854, 593, 519, 1106, 912, 3602, 568, 513, 1507, 32677, 566, 538, 2230, 6066, 3361, 676, 14965, 6329, 543, 568, 519, 3339, 631, 1074, 22603, 11973, 21723, 912, 28275, 689, 519, 18160, 2361, 4834, 454, 3602, 568, 519, 19432, 540, 519, 26548, 857, 21723, 2073, 717, 568, 519, 8471, 3586, 540, 28040, 2787, 267, 543, 524, 568, 519, 3432, 540, 1769, 538, 12511, 269, 634, 476, 1626, 2474, 540, 568, 4389, 547, 4557, 609, 519, 15340, 2783, 649, 723, 269, 769, 519, 5276, 1242, 3069, 540, 8904, 519, 26548, 857, 21723, 666, 581, 2854, 538, 2474, 540, 519, 11973, 607, 454, 6518, 3947, 519, 18160, 781, 4834, 912, 2171, 1118, 513, 7004, 912, 663, 519, 18160, 781, 4834, 3217, 12863, 1106, 912, 2171, 666, 20818, 519, 1368, 720, 2783, 912, 23719, 2530, 540, 1252, 1275, 269, 901, 666, 581, 3379, 609, 519, 1368, 720, 2783, 538, 13590, 3069, 1547, 634, 1368, 720, 2783, 538, 14965, 3069, 23352, 782, 855, 519, 1101, 2165, 538, 3830, 20465, 6028, 721, 609, 519, 3830, 912, 6518, 666, 581, 3379, 609, 519, 6697, 538, 30402, 24599, 1143, 1547, 2060, 519, 2185, 1368, 720, 268, 1718, 1431, 267, 519, 4557, 2361, 4834, 616, 4389, 547, 1152, 3670, 563, 1103, 8900, 2230, 6066, 267, 519, 1648, 2173, 30291, 636, 21723, 540, 2339, 568, 4642, 267, 1547, 634, 18160, 781, 4834, 1287, 814, 519, 1106, 912, 6518, 568, 513, 9864, 11186, 3830, 540, 2034, 1931, 609, 519, 3070, 454, 3602, 568, 513, 3586, 21723, 546, 1069, 1456, 519, 10066, 540, 519, 5951, 538, 2230, 269, 4495, 1586, 267, 519, 21658, 609, 30402, 24599, 1143, 568, 6654, 609, 568, 8719, 609, 4586, 23382, 1456, 3830, 20465, 609, 3830, 630, 3738, 519, 1368, 720, 2783, 666, 1631, 581, 2854, 607, 454, 6518, 1797, 602, 538, 519, 4287, 540, 519, 5951, 267, 519, 2361, 568, 4642, 267, 610, 538, 824, 1913, 267, 519, 14965, 6329, 616, 1098, 951, 531, 269, 4634, 609, 519, 1368, 720, 2783, 972, 568, 1869, 513, 5191, 538, 519, 4834, 267, 2094, 519, 11282, 7004, 454, 5976, 3762, 519, 11282, 1062, 24240, 269, 901, 666, 581, 1031, 547, 2417, 2569, 519, 1297, 540, 4834, 267, 21945, 693, 1152, 1079, 2451, 269, 1452, 2175, 666, 581, 11231, 538, 971, 513, 6073, 602, 912, 6518, 849, 666, 581, 2854, 607, 454, 1607, 1797, 602, 519, 942, 16327, 7859, 616, 782, 4642, 543, 602, 568, 10250, 268, 1652, 269, 2060, 713, 3903, 540, 10974, 267, 649, 723, 3989, 519, 3690, 951, 531, 6874, 15869, 1652, 630, 22721, 264, 1368, 720, 269, 1403, 649, 1577, 519, 5951, 29608, 538, 519, 1535, 1673, 3925, 267, 519, 570, 307, 28621, 720, 2059, 609, 3830, 20465, 543, 15340, 3947, 454, 6518, 666, 581, 10920, 12723, 547, 454, 17798, 267, 519, 5951, 3830, 666, 581, 8237, 909, 538, 678, 6851, 3334, 454, 6518, 616, 519, 1079, 26445, 2829, 540, 14965, 5982, 269, 2913, 721, 1294, 1018, 519, 1079, 2829, 2731, 1797, 269, 769, 519, 586, 1673, 3925, 6175, 950, 519, 1990, 1673, 3925, 2333, 543, 13030, 17930, 267, 1294, 4137, 1547, 1677, 14650, 649, 17967, 519, 11282, 1062, 476, 3393, 5232, 1141, 621, 3217, 519, 1482, 1106, 607, 568, 519, 3339, 11282, 1062, 269, 4935, 267, 621, 4564, 519, 1482, 2186, 540, 14251, 566, 855, 29352, 476, 3393, 5232, 609, 2463, 547, 4586, 8201, 281, 1546, 4146, 540, 513, 1449, 8258, 540, 2339, 3812, 676, 31085, 8701, 1242, 6329, 563, 4415, 513, 8701, 1242, 1533, 2073, 519, 11973, 540, 2230, 6066, 1131, 1831, 454, 1607, 3947, 519, 8833, 538, 513, 1570, 607, 454, 1607, 568, 513, 5758, 540, 1018, 649, 723, 2938, 538, 519, 3105, 3296, 267, 547, 1732, 1294, 519, 10486, 563, 2171, 723, 849, 2938, 602, 14965, 6329, 1152, 723, 1079, 8701, 1242, 2829, 799, 616, 1312, 1098, 951, 531, 267, 602, 568, 267, 13902, 547, 519, 4287, 540, 18640, 563, 1103, 13590, 3069, 519, 3167, 16702, 1961, 5982, 568, 2016, 676, 454, 3602, 700, 568, 519, 24788, 13920, 267, 568, 519, 3167, 16702, 1961, 4090, 543, 568, 519, 5279, 540, 9325, 1775, 269, 634, 6697, 538, 519, 3069, 540, 8904, 568, 5833, 676, 13868, 519, 5279, 267, 609, 519, 2527, 267, 10778, 4913, 267, 676, 5726, 540, 11610, 912, 6546, 568, 267, 972, 568, 1100, 14965, 16702, 1961, 5982, 563, 763, 2034, 16999, 1826, 540, 5982, 538, 13590, 3069, 568, 519, 6419, 16702, 1961, 5982, 799, 568, 2016, 676, 519, 2034, 12045, 540, 519, 6419, 16702, 1961, 4090, 912, 6518, 1131, 2285, 513, 14965, 834, 332, 8568, 257, 16702, 1961, 4090, 540, 454, 3602, 568, 519, 16070, 11610, 269, 9747, 267, 5726, 540, 16070, 11610, 3947, 602, 972, 568, 1100, 16702, 1961, 5982, 585, 28040, 2787, 1018, 865, 2479, 563, 763, 1101, 1826, 540, 5982, 602, 666, 2049, 568, 689, 519, 22712, 14442, 1961, 4090, 267, 543, 519, 14965, 24788, 13920, 666, 581, 6829, 607, 912, 3602, 568, 519, 2527, 20589, 22712, 14442, 1961, 21723, 540, 519, 2707, 912, 294, 9545, 527, 1049, 6329, 267, 607, 10567, 998, 2489, 25536, 814, 513, 1297, 540, 3601, 1138, 2993, 541, 547, 1346, 540, 30402, 10402, 527, 322, 5982, 912, 2467, 616, 1079, 2010, 540, 2959, 540, 9645, 14965, 6329, 267, 1974, 673, 543, 21472, 269, 6201, 540, 1974, 673, 2959, 616, 18343, 22203, 267, 18343, 6801, 267, 18343, 540, 12623, 13240, 3109, 9475, 543, 5595, 6801, 269, 9697, 770, 13116, 2621, 666, 581, 519, 16411, 540, 513, 31975, 320, 610, 513, 2178, 14965, 12900, 269, 13575, 267, 519, 1648, 19501, 689, 519, 21472, 2621, 568, 1454, 3152, 982, 602, 689, 519, 13350, 2959, 269, 1717, 267, 519, 1360, 1249, 602, 789, 616, 1974, 673, 2306, 621, 5266, 2653, 547, 6895, 873, 543, 5386, 19820, 938, 22572, 547, 2569, 519, 6846, 540, 519, 1062, 269, 2913, 721, 1376, 609, 14236, 513, 7008, 540, 1974, 673, 2959, 540, 14965, 6329, 563, 763, 1648, 2234, 7007, 689, 513, 1062, 568, 21246, 958, 2016, 676, 3830, 630, 1040, 1677, 1397, 519, 1931, 540, 9588, 540, 14965, 6329, 267, 649, 786, 9414, 519, 1379, 3977, 689, 513, 5374, 11425, 540, 476, 736, 7397, 3259, 543, 476, 272, 11281, 8953, 18343, 607, 3728, 607, 15868, 1510, 8840, 269, 634, 1379, 522, 1575, 583, 585, 513, 15914, 4396, 12718, 568, 2016, 676, 912, 3602, 594, 568, 519, 4090, 540, 24880, 827, 519, 8095, 14289, 543, 568, 519, 16070, 6991, 540, 519, 1843, 269, 1280, 519, 5374, 11425, 267, 519, 1267, 568, 1360, 28971, 912, 1607, 6263, 1648, 568, 1287, 547, 581, 7856, 1851, 782, 519, 5536, 602, 621, 10596, 799, 3947, 513, 1507, 1198, 8197, 269, 2986, 1576, 713, 729, 547, 581, 4397, 607, 649, 10093, 1405, 2938, 1022, 1463, 2963, 540, 14965, 6329, 267, 799, 649, 1131, 723, 4767, 1185, 519, 1198, 1044, 3152, 269, 9747, 267, 8047, 29931, 730, 14965, 6329, 786, 711, 581, 9571, 2943, 585, 1082, 513, 1032, 269, 1306, 649, 3112, 17429, 576, 519, 6228, 540, 14965, 6329, 998, 513, 8047, 1577, 721, 2490, 547, 824, 630, 11499, 264, 2959, 540, 14965, 6329, 563, 2026, 5892, 7150, 267, 621, 568, 606, 12623, 11496, 1472, 519, 7852, 540, 4838, 602, 3947, 4473, 547, 519, 22712, 14442, 1961, 14965, 5982, 269, 9747, 267, 621, 568, 1152, 19501, 581, 1875, 17898, 17202, 6801, 609, 606, 12623, 11496, 1472, 519, 7852, 540, 10047, 269, 634, 12623, 11496, 267, 552, 3947, 513, 1379, 3977, 540, 827, 454, 763, 12623, 11496, 568, 2073, 1141, 513, 543, 536, 616, 519, 9030, 7852, 538, 519, 20337, 658, 7077, 269, 634, 5207, 1379, 3977, 786, 6157, 2049, 585, 6801, 609, 513, 1970, 8953, 1317, 713, 786, 1118, 519, 5182, 17967, 1256, 5488, 267, 676, 5726, 540, 16070, 11610, 267, 3976, 2810, 543, 18867, 519, 1379, 3977, 269, 901, 1249, 2306, 10053, 3615, 899, 23377, 6801, 543, 3109, 9475, 513, 3119, 3077, 585, 22572, 269, 1717, 267, 938, 9165, 540, 6482, 1869, 6013, 1896, 9753, 540, 9588, 1657, 519, 7229, 1379, 3977, 563, 763, 1379, 3977, 585, 1079, 3615, 540, 13999, 543, 15914, 827, 1142, 824, 609, 606, 16070, 6991, 540, 543, 513, 3845, 1063, 2527, 7266, 619, 540, 678, 568, 454, 5629, 1586, 267, 519, 16070, 6991, 5673, 593, 519, 8953, 540, 10047, 267, 3976, 25137, 16070, 11610, 269, 9747, 267, 519, 6251, 519, 1079, 3615, 616, 547, 1142, 824, 267, 519, 2362, 786, 519, 1379, 3977, 630, 984, 16227, 267, 789, 786, 552, 23439, 1302, 16154, 1818, 519, 4542, 23380, 1916, 10214, 952, 519, 1379, 3977, 568, 2864, 1804, 267, 621, 568, 7494, 4389, 676, 519, 3845, 1063, 721, 543, 782, 5595, 3613, 541, 1949, 540, 4644, 269, 1280, 1383, 267, 519, 9352, 3131, 814, 513, 2234, 7007, 1648, 540, 827, 454, 1877, 593, 3618, 267, 799, 568, 1869, 513, 1360, 1507, 1871, 563, 10666, 15823, 2600, 540, 782, 6801, 538, 519, 7122, 616, 10362, 547, 513, 2789, 1062, 269, 898, 568, 6059, 476, 602, 972, 1058, 581, 811, 982, 5595, 6801, 538, 938, 15270, 609, 25540, 4703, 267, 799, 616, 811, 4277, 1813, 547, 741, 2362, 16070, 6991, 563, 4131, 721, 1631, 1847, 593, 547, 930, 21472, 2621, 267, 799, 593, 835, 1688, 3947, 811, 1648, 267, 855, 593, 519, 824, 1688, 616, 2864, 2110, 24331, 269, 1280, 606, 1843, 9991, 883, 513, 25540, 1560, 540, 2527, 631, 267, 519, 14965, 1648, 19501, 568, 454, 3602, 544, 568, 519, 2527, 540, 519, 1843, 9991, 883, 519, 25540, 1560, 269, 901, 1648, 568, 8445, 539, 1472, 519, 4908, 454, 2690, 1383, 267, 513, 23377, 5182, 609, 2527, 9991, 883, 513, 3109, 8559, 540, 2527, 1131, 3132, 606, 1648, 540, 10199, 808, 537, 956, 609, 513, 8445, 23151, 540, 827, 476, 277, 737, 13703, 269, 1403, 713, 16802, 1131, 2049, 538, 519, 3448, 16133, 540, 3618, 630, 26099, 264, 1369, 513, 1984, 1047, 1718, 267, 621, 1131, 581, 2009, 547, 7747, 621, 609, 1699, 22572, 563, 30606, 338, 602, 12900, 1623, 5471, 29182, 2285, 1100, 14965, 6329, 269, 1717, 267, 519, 5182, 568, 15914, 1247, 2458, 2355, 532, 543, 28377, 540, 14965, 6329, 949, 581, 19501, 1282, 519, 1184, 269, 634, 2698, 1648, 19501, 786, 4096, 593, 519, 1880, 338, 540, 519, 12900, 267, 855, 922, 8552, 568, 4397, 547, 581, 1552, 748, 689, 4642, 547, 519, 2565, 4908, 454, 3602, 568, 519, 5860, 540, 519, 3803, 3942, 12900, 543, 717, 568, 519, 3586, 540, 28040, 2787, 269, 901, 3947, 519, 2698, 19501, 1648, 607, 454, 1607, 1648, 1223, 581, 9645, 543, 1223, 1256, 581, 4767, 952, 621, 1131, 2049, 513, 2101, 12900, 1369, 938, 1378, 14925, 269, 3245, 519, 5164, 2998, 12641, 13831, 513, 1906, 971, 2621, 616, 4397, 829, 3923, 609, 606, 13441, 538, 519, 1931, 540, 808, 4882, 799, 568, 1369, 3914, 540, 2282, 1922, 1956, 22572, 563, 2467, 6818, 1079, 1292, 5686, 540, 14965, 5951, 22572, 281, 1763, 28585, 22572, 543, 31785, 10309, 22572, 269, 634, 1101, 835, 568, 2111, 547, 3713, 6786, 693, 741, 2582, 16982, 12331, 543, 519, 2063, 835, 666, 3713, 6786, 936, 513, 2898, 6512, 5976, 563, 1103, 519, 4098, 540, 519, 476, 2568, 781, 267, 9478, 32544, 1628, 519, 1101, 14965, 5951, 18785, 269, 898, 729, 513, 2964, 1227, 9678, 12718, 540, 4396, 11956, 20604, 476, 272, 269, 276, 9748, 269, 2368, 2650, 345, 29090, 8833, 1098, 3027, 619, 693, 922, 18592, 6027, 519, 21513, 13251, 676, 8429, 14965, 6329, 269, 634, 3046, 6949, 730, 1472, 519, 2505, 775, 540, 476, 272, 737, 13703, 267, 799, 568, 4397, 540, 513, 14965, 5951, 689, 513, 31975, 320, 269, 634, 1292, 1966, 609, 22298, 1532, 541, 32110, 568, 741, 1202, 27383, 269, 634, 8417, 729, 513, 1253, 832, 542, 540, 827, 7397, 269, 1717, 267, 602, 568, 1932, 1507, 547, 3713, 14965, 6329, 689, 1022, 855, 519, 14282, 543, 1034, 10795, 2621, 269, 634, 6846, 7400, 540, 519, 18785, 568, 6027, 538, 8833, 8417, 267, 543, 10155, 568, 1547, 1280, 606, 8723, 22298 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1223, 4312, 2944, 547, 519, 824, 1079, 3631, 563, 763, 5373, 593, 519, 2451, 568, 519, 1772, 6248, 14301, 585, 938, 15937, 7844, 540, 713, 1788, 269, 634, 14301, 2982, 513, 7944, 2070, 540, 1250, 15937, 7844, 269, 2690, 1250, 3803, 2203, 594, 1031, 519, 18369, 6229, 547, 5581, 547, 5581, 5624, 543, 3180, 930, 540, 519, 14742, 909, 269, 594, 1500, 519, 2203, 11506, 543, 1500, 519, 2203, 1930, 547, 1683, 2011, 2429, 519, 2777, 269, 634, 5373, 593, 519, 2451, 729, 25181, 21887, 5373, 267, 621, 2982, 519, 9703, 540, 513, 2230, 538, 519, 1101, 6989, 540, 519, 2203, 269, 0, 11321, 476, 2190, 267, 476, 1001, 278, 6440, 21220, 13135, 476, 278, 7852, 18981, 3684, 28094, 476, 1001, 278, 269, 6145, 267, 4427, 18285, 1299, 9523, 563, 7628, 8142, 17819, 267, 519, 3684, 1590, 1847, 538, 513, 9764, 6073, 2059, 1079, 17887, 630, 17141, 2473, 543, 962, 264, 693, 519, 1482, 942, 513, 3791, 7852, 630, 17141, 2098, 264, 7575, 538, 513, 5276, 6073, 269, 901, 2636, 519, 927, 1460, 540, 519, 8142, 547, 581, 5265, 2577, 1441, 563, 763, 824, 1297, 3515, 8880, 609, 922, 2318, 4287, 547, 519, 1318, 543, 2942, 4287, 547, 519, 2451, 269, 634, 1079, 1297, 3515, 616, 1572, 11282, 17887, 282, 519, 8880, 1899, 568, 519, 1535, 7852, 267, 519, 7299, 1899, 568, 519, 586, 7852, 267, 543, 519, 11282, 17887, 1927, 1106, 519, 31951, 11282, 1062, 610, 513, 454, 300, 3739, 6191, 616, 267, 536, 18732, 5310, 519, 4234, 515, 267, 519, 1034, 4922, 1031, 8677, 540, 3684, 2645, 663, 1946, 12582, 1405, 789, 581, 286, 1975, 8911, 689, 476, 276, 268, 31320, 547, 20619, 7740, 547, 18409, 1841, 267, 972, 781, 4440, 513, 17819, 3684, 585, 1022, 2816, 596, 1616, 547, 9585, 267, 543, 19421, 540, 9755, 1818, 873, 269, 7212, 267, 530, 476, 603, 782, 713, 3099, 621, 666, 1419, 581, 2352, 547, 4642, 538, 593, 519, 1318, 3684, 585, 596, 563, 300, 3739, 568, 519, 1184, 540, 20619, 1210, 27414, 2759, 1562, 547, 4894, 1570, 676, 14027, 513, 2759, 614, 883, 513, 32179, 269, 901, 949, 581, 2944, 8795, 4287, 593, 835, 610, 1896, 17887, 267, 2759, 614, 2212, 3432, 267, 543, 2604, 269, 631, 3739, 6227, 513, 2647, 3099, 540, 1114, 4238, 543, 6191, 267, 593, 10253, 689, 1507, 1367, 2694, 547, 1804, 267, 5230, 1673, 14280, 14228, 17819, 4238, 563, 295, 320, 553, 28290, 568, 519, 4102, 3684, 1907, 32063, 538, 519, 7262, 1158, 267, 5663, 513, 2347, 1899, 540, 18981, 7299, 20619, 7740, 267, 8880, 20619, 7740, 267, 18981, 4234, 1127, 267, 543, 27414, 2472, 563, 16676, 6681, 476, 276, 14289, 18981, 17819, 6191, 5478, 2694, 609, 3810, 1950, 267, 1412, 16955, 262, 22762, 1845, 543, 5347, 32725, 267, 855, 693, 513, 1164, 1942, 269, 7085, 2389, 9506, 18981, 7740, 9192, 519, 2640, 540, 18981, 7432, 543, 18981, 17819, 883, 513, 2582, 1062, 547, 5478, 1950, 2694, 454, 763, 27414, 17887, 540, 713, 1826, 540, 18981, 3684, 616, 13883, 538, 519, 2212, 269, 1358, 616, 1500, 609, 513, 476, 276, 5025, 343, 529, 30085, 799, 568, 593, 513, 1880, 3760, 543, 7575, 998, 513, 6378, 3349, 602, 8952, 519, 32179, 538, 1747, 269, 901, 3947, 519, 30085, 519, 4960, 547, 1847, 1472, 513, 1808, 4062, 1818, 476, 276, 5025, 343, 529, 18981, 6191, 519, 1655, 585, 519, 2504, 540, 1804, 2694, 563, 15014, 268, 280, 5392, 4811, 20081, 309, 631, 3739, 26682, 269, 6751, 268, 280, 5392, 4811, 568, 519, 5153, 17240, 2917, 7844, 630, 4219, 12966, 585, 3432, 2242, 264, 6751, 268, 280, 5392, 29552, 1772, 519, 24438, 17726, 7844, 630, 31282, 513, 3866, 585, 3432, 2242, 264, 12232, 538, 476, 13136, 309, 590, 5058, 4041, 11682, 17955, 610, 476, 13136, 309, 476, 274, 11682, 17955, 267, 7994, 12989, 4469, 622, 15580, 1744, 6235, 267, 1269, 276, 4200, 9170, 538, 519, 476, 4366, 2475, 2276, 7994, 10724, 26840, 3689, 2676, 27287, 547, 3811, 3498, 540, 513, 962, 14289, 3684, 568, 4657, 875, 513, 6300, 5654, 693, 4393, 960, 20355, 602, 2154, 7432, 543, 20619, 4238, 269, 12414, 8276, 650, 6191, 609, 513, 962, 14289, 616, 3274, 2645, 2966, 547, 948, 513, 6300, 20928, 998, 1584, 269, 1358, 454, 9802, 476, 2537, 267, 476, 1001, 272, 6440, 634, 12472, 540, 519, 962, 31196, 593, 12414, 5336, 650, 26682, 13823, 1027, 547, 519, 2490, 2173, 650, 3684, 1907, 1374, 538, 827, 476, 1960, 277, 267, 519, 962, 7852, 729, 1101, 1031, 593, 513, 2582, 17898, 26295, 267, 1984, 2389, 1248, 4234, 515, 609, 513, 1016, 4944, 26295, 269, 634, 2856, 540, 513, 962, 7852, 593, 513, 18981, 12090, 689, 519, 2298, 20159, 540, 8701, 31992, 543, 519, 7411, 538, 5752, 267, 711, 689, 5907, 454, 763, 8998, 12328, 540, 681, 10933, 781, 1984, 882, 1456, 1062, 568, 513, 681, 4785, 306, 21822, 476, 278, 610, 681, 4785, 306, 21822, 476, 279, 630, 572, 1597, 610, 5216, 7852, 264, 561, 10719, 13307, 1984, 882, 1456, 3684, 269, 12232, 538, 5021, 561, 10719, 19206, 689, 476, 4335, 11899, 547, 476, 278, 267, 4335, 11899, 267, 891, 6191, 2099, 519, 454, 17445, 687, 540, 5163, 630, 31320, 264, 585, 513, 595, 1922, 9347, 16654, 7299, 20619, 4099, 9978, 7299, 20619, 7740, 1450, 1614, 8846, 540, 5163, 267, 610, 17887, 269, 1452, 1614, 2596, 20517, 616, 5276, 17887, 9994, 532, 5163, 2059, 513, 2786, 1899, 269, 2060, 513, 595, 1922, 9347, 16654, 7299, 20619, 4099, 267, 519, 3349, 666, 1847, 2451, 270, 2431, 630, 1492, 2473, 454, 23164, 3684, 540, 519, 1984, 5722, 17887, 10697, 3249, 269, 10866, 6513, 267, 6311, 292, 23549, 269, 20405, 1870, 666, 723, 513, 8988, 16298, 269, 1547, 922, 17514, 1222, 570, 10998, 476, 25953, 1984, 2389, 1248, 3684, 538, 1931, 547, 1547, 2882, 909, 547, 5722, 18981, 17887, 585, 1547, 5192, 12313, 1656, 8081, 6732, 454, 21801, 476, 2537, 267, 476, 1001, 280, 6440, 10705, 267, 972, 4667, 547, 581, 10539, 1813, 547, 519, 2165, 834, 276, 14289, 257, 20619, 4099, 269, 1744, 3591, 1589, 789, 1810, 1405, 723, 476, 276, 14289, 960, 269, 5272, 6300, 814, 960, 602, 1131, 4324, 689, 513, 476, 276, 14289, 3684, 1317, 513, 476, 276, 14289, 20619, 4099, 16881, 476, 276, 21758, 20619, 269, 8437, 519, 7735, 2630, 547, 4647, 513, 2241, 4976, 602, 2337, 596, 2708, 519, 21614, 296, 540, 476, 276, 14289, 563, 274, 31196, 18981, 631, 3739, 10724, 269, 7053, 594, 4956, 547, 1628, 519, 3684, 538, 476, 1789, 5174, 1826, 2428, 476, 279, 26459, 14604, 609, 476, 1626, 7825, 3440, 2275, 597, 27218, 17898, 785, 956, 267, 476, 1428, 7825, 3440, 2275, 597, 27218, 7841, 26971, 543, 476, 274, 288, 5404, 269, 715, 4932, 288, 2537, 2848, 3899, 16546, 602, 3514, 3362, 547, 513, 4712, 547, 4444, 20387, 1062, 269, 901, 2694, 3514, 9985, 1927, 1510, 519, 991, 540, 2027, 14475, 2694, 563, 13202, 476, 2190, 267, 476, 1001, 278, 6440, 589, 3684, 602, 568, 5827, 540, 476, 276, 14289, 1374, 666, 1847, 519, 1907, 12949, 538, 519, 2473, 267, 962, 267, 543, 2098, 8846, 607, 1134, 607, 17967, 538, 519, 589, 543, 645, 630, 528, 595, 264, 17887, 3976, 519, 2165, 476, 276, 14289, 20619, 269, 11109, 1346, 1079, 3063, 17887, 3379, 547, 2757, 476, 274, 14289, 20619, 2636, 585, 3152, 8112, 538, 851, 1374, 543, 811, 5714, 5322, 585, 519, 1984, 2212, 563, 5825, 539, 476, 274, 7852, 17819, 3684, 476, 15704, 279, 1592, 902, 269, 23037, 676, 12313, 281, 8899, 547, 4400, 1923, 4400, 547, 8899, 269, 670, 295, 21662, 18981, 16170, 7085, 476, 274, 31196, 18981, 631, 3739, 10724, 269, 13242, 670, 295, 21662, 18981, 16170, 7085, 476, 274, 31196, 18981, 631, 3739, 10724, 9501, 4488, 9281, 2975, 25972, 645, 8712, 920, 9749, 593, 2473, 267, 312, 267, 543, 2098, 17887, 269, 1911, 271, 700, 321, 269, 590, 16810, 2207, 7246, 311, 476, 274, 589, 311, 3041, 18981, 918, 301, 7417, 631, 21135, 609, 595, 7728, 4629, 2839, 563, 5472, 12794, 553, 7299, 14200, 616, 2139, 609, 476, 276, 14289, 12588, 269, 15439, 11690, 7146, 25178, 513, 12794, 553, 27414, 547, 1711, 513, 3532, 476, 276, 14289, 3684, 585, 513, 6824, 540, 519, 3902, 269, 19845, 27073, 27749, 454, 276, 14289, 18981, 20619, 666, 798, 1018, 824, 6191, 666, 798, 267, 855, 824, 6191, 899, 18230, 4234, 1127, 267, 7299, 20619, 7740, 267, 476, 274, 14289, 14200, 3112, 798, 3388, 602, 513, 476, 276, 14289, 18981, 20619, 4099, 666, 798, 269, 901, 2306, 519, 476, 276, 14289, 18981, 835, 540, 519, 1034, 11684, 4773, 540, 3937, 602, 596, 666, 4444, 563, 27987, 281, 1548, 3657, 634, 476, 276, 16547, 525, 538, 476, 276, 5025, 343, 529, 631, 3739, 286, 13723, 267, 4873, 476, 3066, 267, 476, 1001, 277, 281, 769, 18981, 20619, 267, 519, 946, 540, 476, 276, 5025, 343, 529, 17819, 6191, 568, 6385, 4742, 811, 1455, 269, 634, 2029, 568, 30507, 1587, 5663, 543, 8856, 20619, 2066, 782, 6080, 563, 290, 10998, 631, 3739, 10724, 31196, 4112, 7134, 1496, 28415, 18789, 6651, 316, 1496, 18981, 631, 3739, 10724, 20668, 5851, 316, 589, 18981, 631, 3739, 781, 16547, 525, 616, 7923, 547, 519, 10724, 31108, 907, 4256, 1909, 568, 547, 1683, 5179, 1242, 5163, 538, 1142, 10155, 607, 26017, 676, 519, 1852, 8470, 610, 575, 2275, 1712, 1982, 998, 519, 17120, 563, 29909, 1100, 824, 3684, 814, 519, 2702, 547, 1711, 16419, 2694, 543, 28352, 693, 519, 1482, 3044, 607, 513, 18981, 3684, 269, 1656, 1247, 1169, 18981, 3684, 5713, 513, 2147, 2949, 3483, 267, 972, 616, 8795, 2010, 602, 2709, 513, 2039, 540, 7463, 1972, 454, 11321, 476, 4905, 267, 476, 1001, 279, 6440, 2991, 513, 623, 12714, 10998, 4951, 909, 593, 1250, 7450, 21163, 267, 1565, 476, 276, 14289, 20619, 2968, 1250, 1283, 10862, 269, 901, 568, 519, 1650, 540, 875, 594, 4682, 689, 513, 476, 276, 14289, 917, 5991, 5847, 267, 547, 513, 476, 276, 14289, 454, 23164, 3684, 540, 519, 1984, 5722, 17887, 2433, 12327, 304, 19783, 10724, 16298, 3684, 540, 519, 1984, 5722, 17887, 269, 1472, 519, 4099, 7852, 269, 634, 1984, 568, 9141, 3937, 1031, 454, 293, 548, 564, 12426, 623, 9613, 569, 4419, 532, 1411, 4595, 476, 4198, 276, 910, 18307, 564, 293, 1301, 2593, 293, 548, 564, 12426, 814, 1044, 23217, 7674, 519, 16592, 29268, 2094, 476, 4198, 454, 1001, 278, 14086, 16811, 11831, 7085, 2060, 1291, 345, 4532, 700, 1456, 8274, 21801, 476, 2764, 267, 476, 1001, 278, 634, 3440, 1984, 568, 513, 1883, 3937, 547, 20836, 519, 2267, 454, 26364, 4193, 7085, 1325, 29837, 6931, 518, 2060, 9012, 910, 620, 836, 331, 1478, 16691, 269, 5633, 30761, 7085, 1325, 29837, 6931, 619, 269, 620, 29837, 16298, 585, 3440, 14200, 6539, 6943, 454, 14684, 4488, 302, 25416, 7085, 910, 13334, 13971, 476, 1839, 267, 476, 1001, 272, 6440, 17335, 4488, 302, 966, 756, 549, 268, 21328, 25416, 24759, 616, 519, 1034, 11684, 1899, 540, 11465, 454, 19817, 704, 5985, 8302, 10672, 538, 2587, 565, 659, 6350, 615, 1031, 547, 9553, 7601, 282, 6337, 540, 7601, 4393, 3492, 15249, 282, 12444, 328, 454, 23748, 540, 6149, 8302, 3684, 538, 15242, 13128, 3267, 9802, 476, 1321, 267, 476, 1001, 280, 6440, 3624, 12942, 28981, 10724, 910, 8564, 1164, 7117, 454, 325, 2426, 19561, 5102, 591, 6500, 740, 531, 1695, 910, 967, 337, 633, 3491, 915, 4318, 1575, 592, 591, 6500, 740, 531, 1695, 737, 4621, 738, 532, 269, 1187, 7714, 328, 5102, 591, 6500, 740, 531, 1695, 26836, 19783, 267, 6182, 785, 328, 454, 9690, 1942, 540, 8302, 2196, 18574, 538, 562, 322, 910, 7148, 332, 16691, 269, 345, 659, 6350, 615, 2196, 18574, 3902, 829, 9522, 543, 4319, 338, 562, 322, 910, 267, 1699, 1942, 540, 5880, 0, 306, 9407, 676, 281, 2353, 10907, 27854, 20055, 2593, 454, 347, 5181, 476, 2190, 267, 476, 1001, 279, 454, 31955, 1557, 1603, 3028, 273, 269, 6056, 540, 513, 2487, 30907, 1870, 3375, 1500, 676, 2576, 596, 917, 269, 1403, 596, 616, 711, 2111, 547, 1589, 540, 606, 1383, 267, 621, 568, 15502, 547, 1865, 606, 30907, 3375, 1500, 676, 2576, 1134, 1634, 630, 18503, 267, 22267, 267, 5026, 6345, 267, 16628, 540, 513, 2754, 267, 3092, 12175, 1717, 267, 581, 2386, 602, 519, 3375, 568, 1870, 1644, 269, 9181, 519, 3375, 543, 519, 1764, 593, 1866, 269, 4746, 267, 1865, 1018, 519, 1268, 8959, 547, 798, 950, 1818, 519, 3375, 269, 1879, 5466, 713, 2243, 267, 3277, 547, 713, 3018 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11418, 2152, 267, 729, 547, 798, 513, 2603, 540, 1382, 563, 2005, 568, 1271, 547, 917, 519, 1946, 540, 519, 3157, 538, 1931, 547, 1174, 875, 547, 1020, 1018, 649, 1616, 547, 723, 607, 513, 1267, 269, 8729, 547, 1082, 18862, 543, 5872, 609, 519, 3937, 594, 729, 2111, 547, 1995, 1082, 1919, 1354, 3001, 593, 547, 3069, 269, 3733, 16252, 454, 529, 602, 585, 1346, 945, 616, 607, 14942, 607, 803, 543, 1810, 1405, 899, 519, 7811, 851, 267, 1413, 585, 18862, 547, 1118, 18789, 3631, 543, 1449, 873, 269, 26461, 491, 454, 268, 4270, 267, 519, 1101, 1259, 547, 8495, 454, 13195, 547, 1930, 930, 1919, 693, 1753, 602, 1185, 930, 7954, 540, 1210, 12545, 543, 27178, 563, 296, 1185, 2760, 2944, 621, 1354, 855, 7064, 547, 713, 594, 1223, 1294, 543, 5905, 2661, 875, 568, 519, 4835, 2497, 540, 3615, 899, 513, 5100, 1769, 15941, 267, 513, 2241, 17689, 543, 513, 10856, 563, 268, 594, 1336, 621, 1360, 4277, 547, 1294, 519, 11387, 543, 711, 1174, 4376, 2676, 6930, 502, 351, 865, 547, 24559, 8885, 594, 22646, 519, 4950, 585, 930, 2147, 1949, 543, 6836, 547, 1294, 519, 10486, 563, 268, 8729, 547, 1250, 7745, 10856, 594, 1223, 1491, 930, 942, 547, 1930, 621, 543, 2263, 621, 454, 514, 27238, 1354, 2921, 621, 547, 519, 17885, 267, 1631, 602, 594, 917, 1732, 519, 5907, 3334, 543, 594, 917, 602, 789, 666, 581, 13381, 454, 296, 786, 711, 12235, 4376, 2476, 607, 594, 729, 2141, 3257, 267, 1310, 2348, 4767, 621, 594, 6836, 547, 2697, 782, 519, 2009, 3334, 269, 3371, 594, 1397, 513, 8642, 454, 296, 1500, 269, 9462, 496, 359, 454, 7069, 1101, 8642, 454, 268, 901, 3635, 5280, 803, 454, 1729, 917, 1018, 594, 1185, 547, 1174, 1101, 267, 950, 594, 4718, 930, 561, 2644, 593, 519, 12545, 621, 7018, 547, 803, 547, 1413, 585, 875, 547, 2490, 593, 513, 3366, 2094, 594, 1185, 2760, 2944, 621, 267, 713, 5795, 803, 1360, 1434, 2164, 2094, 594, 1223, 1174, 454, 16341, 2035, 899, 4187, 267, 3366, 267, 6453, 267, 3092, 269, 1677, 581, 2111, 547, 1628, 513, 4604, 543, 1174, 922, 3334, 594, 11567, 538, 1082, 2081, 519, 9696, 543, 4296, 2676, 10472, 1505, 666, 948, 513, 2603, 547, 1004, 899, 803, 945, 616, 711, 8030, 610, 18164, 827, 519, 11418, 851, 563, 5475, 1620, 519, 12497, 851, 454, 1993, 519, 11387, 594, 5887, 3293, 547, 1685, 1079, 6901, 2676, 1492, 1101, 729, 547, 1769, 606, 10896, 609, 519, 9238, 971, 607, 606, 2025, 6007, 543, 513, 19919, 269, 8729, 547, 519, 28529, 6997, 538, 7799, 320, 594, 729, 2111, 547, 1205, 930, 3334, 543, 594, 3576, 873, 1753, 269, 634, 1101, 1449, 729, 1390, 2676, 1721, 519, 1101, 942, 538, 1250, 1272, 594, 5828, 593, 606, 10896, 563, 15253, 7859, 10896, 543, 1763, 626, 528, 454, 21010, 532, 2318, 543, 2942, 454, 382, 350, 307, 9506, 593, 519, 3366, 2336, 268, 901, 2680, 729, 5863, 585, 803, 267, 594, 2731, 10150, 454, 338, 6295, 713, 2370, 4161, 865, 594, 4797, 19234, 269, 8729, 547, 15917, 20076, 631, 622, 334, 2676, 3240, 7649, 689, 28529, 6997, 18475, 267, 594, 723, 538, 1250, 15896, 606, 818, 18003, 26519, 267, 713, 2636, 803, 547, 917, 519, 9238, 538, 519, 4296, 593, 606, 5907, 4604, 269, 28529, 3626, 2676, 1492, 1483, 2012, 540, 713, 14952, 267, 814, 513, 3694, 4580, 865, 594, 5795, 621, 519, 1101, 946, 3843, 547, 1769, 606, 10896, 855, 713, 942, 609, 513, 1114, 7954, 269, 9462, 502, 491, 454, 268, 28529, 3626, 568, 513, 1390, 26519, 2336, 3891, 5280, 803, 513, 2603, 547, 1174, 689, 519, 4098, 519, 5752, 594, 666, 2285, 1864, 547, 2490, 593, 561, 2644, 267, 547, 2322, 513, 1257, 593, 513, 700, 7374, 267, 547, 946, 3280, 8596, 267, 5163, 8596, 267, 3092, 269, 901, 1568, 609, 513, 1982, 1572, 631, 23026, 2676, 527, 568, 1360, 2147, 547, 2480, 337, 2255, 267, 585, 14987, 621, 568, 3501, 267, 1934, 594, 1397, 596, 930, 2853, 563, 25284, 2719, 609, 7161, 454, 25284, 2719, 609, 7161, 454, 268, 6271, 1360, 1434, 2856, 454, 1721, 14987, 538, 11418, 454, 529, 519, 1863, 3301, 570, 1074, 2075, 611, 2676, 10472, 1982, 568, 4625, 1863, 543, 596, 1810, 1405, 991, 547, 4647, 621, 267, 621, 814, 513, 2230, 585, 2870, 476, 274, 291, 6272, 855, 849, 835, 1141, 596, 666, 1451, 827, 5907, 11387, 563, 296, 2731, 17329, 547, 1376, 713, 3408, 1317, 12303, 596, 666, 2259, 609, 707, 3334, 543, 8275, 519, 2164, 1354, 3257, 621, 9308, 267, 713, 6157, 2337, 513, 2603, 547, 917, 519, 2164, 596, 666, 1205, 543, 2087, 707, 18747, 269, 594, 4363, 621, 2336, 18698, 609, 513, 1486, 984, 13635, 454, 19185, 585, 3334, 454, 268, 2991, 891, 1101, 29293, 594, 5887, 3293, 547, 2119, 519, 2259, 540, 13841, 2676, 527, 568, 519, 1101, 942, 538, 1250, 1272, 454, 7474, 594, 979, 998, 713, 1995, 269, 634, 1267, 729, 711, 519, 1655, 855, 519, 7553, 729, 693, 922, 8445, 267, 7064, 547, 519, 28529, 9142, 594, 993, 3257, 1919, 602, 594, 1185, 2760, 2944, 1354, 543, 594, 2731, 899, 621, 563, 3519, 3825, 540, 10896, 547, 10814, 454, 306, 1245, 1359, 855, 609, 26151, 5911, 454, 268, 4347, 17802, 609, 713, 1101, 3801, 594, 6956, 602, 4421, 1359, 3340, 513, 2603, 540, 2259, 267, 621, 568, 1271, 454, 1729, 3914, 513, 1448, 540, 1710, 8864, 538, 1931, 711, 547, 6633, 519, 17646, 610, 519, 3334, 1813, 547, 519, 2837, 540, 519, 4421, 1359, 4401, 269, 5221, 540, 713, 543, 7064, 547, 1250, 3659, 19124, 689, 670, 1180, 32136, 454, 296, 1705, 606, 3635, 602, 646, 5227, 803, 269, 594, 3893, 513, 5283, 8533, 4604, 267, 930, 18969, 543, 513, 772, 9143, 10814, 2676, 296, 6896, 873, 1169, 476, 276, 17744, 2870, 513, 2186, 540, 17450, 543, 4421, 1229, 1448, 547, 1448, 519, 9843, 540, 519, 18969, 609, 17646, 269, 901, 3635, 729, 1360, 1434, 267, 621, 5280, 803, 547, 1174, 519, 1655, 1259, 547, 1747, 519, 1151, 1457, 543, 547, 723, 1732, 8856, 269, 594, 3810, 4363, 621, 267, 11289, 596, 19124, 256, 9462, 354, 364, 454, 268, 12552, 547, 782, 891, 2853, 454, 296, 5433, 811, 5432, 609, 519, 2035, 543, 3334, 602, 649, 616, 1210, 267, 585, 1346, 945, 1175, 723, 1702, 827, 11418, 899, 803, 594, 786, 2995, 596, 602, 596, 1590, 723, 513, 2603, 540, 9639, 454, 8117, 1657, 782, 18515, 547, 1451, 543, 547, 4194, 519, 2591, 602, 596, 723, 538, 4395, 540, 596, 269, 9462, 496, 359, 0, 4488, 299, 298, 290, 11473, 9523, 269, 1924, 267, 789, 261, 4375, 282, 516, 834, 7476, 27973, 1280, 15206, 2437, 543, 972, 568, 606, 2534, 11706, 585, 3885, 267, 607, 1134, 607, 606, 2534, 11706, 585, 3610, 269, 1280, 891, 4128, 267, 930, 1453, 666, 4324, 689, 519, 946, 540, 513, 3308, 4605, 3254, 547, 873, 1247, 513, 4116, 568, 4758, 513, 11913, 4287, 827, 513, 5912, 563, 1103, 713, 1357, 14373, 267, 1451, 4052, 4388, 543, 2994, 602, 3610, 666, 946, 1169, 1554, 17772, 330, 322, 4928, 13289, 547, 948, 1453, 581, 17772, 330, 322, 3811, 538, 13289, 543, 547, 2061, 4101, 2623, 269, 17772, 330, 322, 4928, 13289, 1635, 6236, 1453, 779, 2115, 543, 5759, 543, 4058, 9935, 267, 3237, 666, 2057, 2042, 693, 5912, 2053, 269, 7824, 7216, 19974, 4804, 543, 11310, 4741, 6874, 760, 16847, 24493, 6984, 5753, 779, 269, 8347, 6972, 693, 1114, 17772, 330, 322, 4928, 13289, 11250, 269, 15858, 3690, 1431, 17785, 476, 274, 563, 763, 17772, 330, 322, 4928, 13289, 5619, 1058, 2307, 2055, 3823, 875, 519, 5912, 4682, 267, 1018, 519, 8041, 1705, 1134, 630, 18485, 11488, 543, 8391, 1070, 543, 1018, 1223, 581, 2944, 8335, 547, 2087, 519, 5912, 1184, 269, 5788, 19850, 14114, 2828, 256, 7053, 267, 972, 17772, 330, 322, 4928, 13289, 616, 1808, 25191, 2994, 602, 666, 581, 1031, 950, 513, 5912, 3587, 2352, 610, 950, 513, 1126, 779, 2623, 15583, 919, 269, 5788, 13229, 15858, 23113, 609, 3690, 1431, 269, 31514, 16065, 10341, 281, 7216, 19974, 4804, 543, 11310, 4741, 630, 4488, 299, 298, 290, 264, 8249, 267, 13088, 267, 543, 8871, 2358, 13756, 585, 12333, 4886, 269, 25417, 891, 13289, 585, 1453, 267, 3885, 267, 543, 5234, 568, 9691, 1271, 1317, 1256, 2318, 1689, 666, 581, 4101, 563, 1692, 798, 17772, 330, 322, 4928, 13289, 1053, 1847, 1472, 519, 4928, 286, 26189, 519, 1126, 547, 3802, 17772, 330, 322, 4928, 13289, 7444, 267, 1287, 2333, 519, 10605, 267, 1287, 3500, 1586, 7683, 4657, 269, 30975, 609, 13289, 568, 849, 1455, 950, 1453, 723, 2792, 17799, 267, 3908, 1514, 543, 3929, 1983, 267, 610, 7214, 9124, 630, 295, 655, 31461, 267, 744, 560, 4592, 5652, 267, 1299, 4856, 810, 15426, 594, 4126, 713, 2656, 22345, 2337, 609, 2679, 2500, 13289, 883, 707, 1362, 2497, 269, 968, 23991, 22580, 538, 3690, 1431, 892, 4934, 2492, 281, 968, 29261, 543, 3885, 1489, 543, 12167, 585, 741, 1126, 779, 1565, 543, 1646, 607, 789, 5912, 547, 1007, 1565, 679, 1333, 268, 906, 2223, 543, 6212, 593, 519, 5912, 547, 9656, 269, 17772, 330, 322, 17772, 330, 322, 4928, 13289, 17772, 330, 322, 1547, 10361, 3399, 10566, 299, 298, 290, 281, 15858, 10439, 338, 543, 4675, 2176, 10361, 3399, 7216, 19974, 4804, 1299, 11310, 4741, 630, 4488, 299, 298, 290, 264, 3091, 513, 5399, 540, 3308, 7028, 585, 3610, 547, 946, 609, 1453, 538, 519, 4928, 269, 5788, 8274, 9751, 476, 1015, 17772, 330, 322, 4928, 13289, 910, 10361, 3399, 8889, 7027, 281, 2368, 744, 951, 697, 3117, 573, 3130, 910, 30991, 281, 476, 275, 281, 7367, 563, 5575, 267, 23833, 2994, 2569, 519, 10171, 602, 13289, 17772, 330, 322, 4928, 13289, 786, 581, 2352, 610, 602, 4101, 5615, 786, 2049, 269, 5788, 1280, 1082, 3610, 267, 13289, 616, 519, 23698, 2694, 540, 519, 1554, 269, 1656, 3450, 13289, 568, 899, 3450, 1022, 824, 2534, 610, 4305, 269, 25849, 513, 10555, 8111, 12516, 269, 25417, 5606, 1218, 543, 25595, 6840, 543, 4256, 19198, 3414, 269, 17772, 330, 322, 4928, 13289, 4132, 3249, 12754, 281, 634, 14044, 4303, 3249, 1107, 3690, 1431, 1107, 901, 3896, 3091, 513, 3099, 540, 10372, 585, 1818, 17772, 330, 322, 13289, 538, 513, 1554, 3249, 4259, 269, 6744, 13460, 267, 9205, 1404, 2127, 267, 8602, 7741, 267, 12008, 2127, 543, 824, 1565, 2127, 1282, 17772, 330, 322, 4928, 13289, 13289, 543, 1991, 547, 22576, 563, 6440, 15858, 3690, 1431, 17785, 476, 273, 269, 1215, 2038, 6689, 7855, 666, 2087, 13289, 286, 13325, 5948, 540, 7991, 17772, 330, 322, 4928, 13289, 11059, 589, 2102, 2886, 476, 272, 267, 5392, 275, 5784, 269, 5788, 1401, 1746, 519, 4928, 282, 31478, 17772, 330, 322, 4928, 13289, 13289, 616, 17772, 330, 322, 4928, 13289, 606, 1271, 851, 540, 2298, 4928, 2359, 543, 666, 9797, 3310, 707, 4928, 2528, 269, 3807, 1118, 2386, 621, 568, 711, 513, 2706, 1279, 5152, 610, 596, 786, 1205, 513, 2706, 1279, 5912, 269, 1215, 798, 596, 4383, 4657, 5049, 630, 3240, 1362, 3085, 261, 4375, 282, 339, 855, 594, 261, 4375, 282, 332, 8049, 1070, 610, 1256, 3001, 689, 1641, 547, 1641, 1369, 707, 1378, 4928, 286, 674, 2464, 5234, 786, 3346, 4116, 547, 8430, 4928, 11564, 17772, 330, 322, 4928, 13289, 543, 5912, 973, 777, 5870, 269, 3371, 616, 513, 17772, 330, 322, 1906, 10372, 585, 9308, 3742, 4928, 5912, 2093, 563, 30108, 10953, 513, 1007, 5912, 4640, 1759, 593, 519, 1126, 779, 4690, 676, 2870, 513, 968, 1905, 892, 13289, 585, 9251, 4928, 2488, 513, 3102, 543, 3102, 13374, 585, 1053, 547, 1294, 3356, 17772, 330, 322, 4928, 13289, 1310, 17772, 330, 322, 4928, 13289, 519, 1439, 540, 1142, 9074, 269, 6423, 811, 2093, 827, 21846, 8964, 267, 15858, 8964, 267, 18014, 8964, 269, 1215, 798, 596, 4001, 13289, 538, 1153, 286, 30975, 609, 13289, 666, 2049, 585, 513, 1297, 540, 4128, 267, 971, 607, 950, 1453, 616, 13110, 267, 17237, 267, 11821, 267, 610, 711, 4712, 547, 1439, 606, 2534, 269, 21846, 547, 9656, 1544, 17772, 330, 322, 4928, 13289, 1703, 568, 513, 10319, 2319, 540, 3237, 267, 17772, 330, 322, 4928, 13289, 3610, 267, 16984, 267, 543, 2146, 5234, 602, 10742, 5781, 547, 1020, 543, 2936, 513, 5912, 547, 9656, 1544, 563, 15900, 6689, 7855, 666, 5000, 3237, 547, 2322, 2933, 538, 741, 1453, 779, 10887, 663, 1413, 693, 519, 1158, 689, 741, 642 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2413, 6165, 554, 534, 321, 758, 3270, 1519, 16806, 2528, 269, 12465, 543, 2413, 2030, 9960, 2409, 609, 1806, 538, 7573, 630, 800, 5633, 2893, 10216, 561, 264, 519, 6024, 3498, 540, 2757, 9960, 2409, 538, 513, 2016, 2249, 1223, 1291, 547, 519, 2030, 2010, 4847, 2242, 538, 1480, 5095, 547, 1491, 269, 4208, 1004, 2648, 2413, 6189, 676, 6692, 2917, 2370, 27362, 476, 1556, 267, 476, 1001, 275, 538, 4195, 727, 781, 1360, 1655, 476, 273, 4195, 727, 781, 1360, 1655, 2445, 713, 2856, 2413, 6189, 24643, 513, 1804, 1739, 609, 2189, 6272, 971, 607, 713, 835, 2757, 543, 2413, 6189, 3575, 1134, 1927, 563, 1432, 568, 519, 2757, 1505, 1031, 538, 1942, 8051, 519, 2757, 1505, 540, 1942, 8051, 4016, 547, 519, 14305, 540, 5663, 16841, 3790, 547, 519, 2472, 14475, 519, 2757, 1505, 630, 10193, 1634, 607, 519, 6671, 1505, 269, 13335, 540, 1614, 11344, 3652, 540, 8051, 568, 1152, 2009, 952, 596, 666, 7157, 3313, 519, 1826, 540, 2272, 596, 616, 7231, 609, 26759, 1483, 267, 2123, 610, 22194, 2272, 1806, 910, 1614, 11344, 3652, 540, 8051, 630, 10177, 6463, 2413, 1935, 4443, 982, 519, 2757, 269, 16390, 540, 32259, 543, 5491, 950, 6589, 616, 9286, 2687, 547, 2757, 8760, 540, 6589, 281, 32259, 543, 538, 8051, 3652, 540, 32259, 543, 5491, 693, 513, 16145, 2010, 540, 2272, 269, 21185, 4754, 6189, 267, 2757, 543, 2413, 910, 513, 2361, 1353, 538, 8732, 629, 331, 4545, 320, 267, 2849, 665, 1723, 561, 628, 1153, 540, 4702, 693, 13464, 927, 28410, 321, 3073, 8027, 1646, 1299, 2359, 269, 9537, 540, 4871, 6589, 891, 6589, 2097, 538, 1079, 2010, 281, 519, 2757, 1775, 571, 543, 887, 628, 1775, 571, 519, 887, 628, 1775, 571, 568, 2442, 1317, 519, 7482, 666, 581, 32585, 3454, 6954, 538, 1082, 3871, 1866, 4782, 2757, 3352, 553, 1317, 891, 7418, 616, 3454, 1673, 9254, 551, 1043, 269, 769, 15242, 267, 2021, 781, 7802, 9775, 4922, 543, 568, 5702, 2404, 609, 519, 2199, 2528, 267, 4984, 543, 2916, 2757, 21944, 7802, 585, 2021, 538, 519, 5087, 543, 7532, 616, 521, 30213, 12816, 609, 669, 10008, 25568, 513, 1279, 1236, 7398, 1572, 513, 682, 26907, 320, 610, 533, 822, 3385, 12816, 609, 669, 10008, 543, 513, 546, 1575, 520, 3279, 10077, 325, 547, 1711, 606, 26254, 1572, 513, 575, 27558, 669, 10008, 610, 2892, 8705, 737, 877, 14162, 563, 15368, 923, 540, 12948, 513, 3102, 552, 2757, 543, 2413, 3252, 540, 8492, 3466, 538, 21944, 12948, 476, 274, 1247, 6679, 513, 16005, 2272, 519, 1585, 2010, 540, 6469, 5561, 543, 741, 2027, 4170, 547, 581, 5360, 1221, 609, 267, 1247, 6679, 741, 6589, 269, 17292, 519, 20090, 1826, 602, 6257, 596, 865, 649, 666, 1448, 596, 4724, 519, 1655, 8502, 585, 707, 3510, 281, 630, 1721, 562, 518, 323, 19789, 2280, 3988, 264, 1397, 5294, 1299, 931, 5294, 1970, 21057, 267, 31484, 548, 6954, 1935, 547, 1775, 571, 10115, 1101, 1269, 276, 267, 1822, 7307, 1863, 630, 1721, 538, 4334, 267, 609, 513, 2757, 30549, 720, 2272, 563, 28398, 1250, 2272, 28624, 267, 2757, 11647, 5288, 4207, 11647, 29779, 14258, 267, 5705, 2401, 3270, 543, 6417, 1286, 19133, 1118, 2413, 6377, 2757, 11647, 14402, 543, 811, 15095, 609, 476, 2641, 560, 2540, 19824, 476, 276, 269, 2667, 1115, 513, 11305, 268, 782, 15889, 1299, 30608, 7221, 4341, 268, 3819, 519, 2333, 3956, 519, 6175, 476, 273, 20824, 513, 11305, 268, 9388, 609, 519, 2883, 13800, 540, 519, 6109, 269, 744, 3200, 830, 972, 723, 3622, 1044, 1079, 1114, 2010, 540, 19684, 2409, 2413, 19684, 2409, 5288, 2757, 543, 13180, 31614, 324, 18369, 2006, 5816, 31614, 324, 18369, 2006, 3486, 737, 321, 545, 5816, 2413, 19684, 2409, 2413, 19684, 2409, 5288, 2757, 19684, 2409, 269, 7756, 5654, 538, 4207, 2511, 513, 1413, 693, 4683, 1018, 568, 17941, 27164, 2221, 729, 6752, 2406, 2413, 950, 621, 1101, 3357, 856, 713, 1826, 540, 11647, 814, 1631, 2097, 856, 689, 519, 12424, 525, 540, 6095, 1137, 543, 3490, 906, 4388, 585, 11544, 2757, 543, 2413, 11647, 6163, 11647, 9238, 563, 5278, 10404, 1125, 579, 2801, 6189, 1317, 540, 519, 8748, 2413, 5656, 602, 616, 5063, 513, 2413, 13994, 15145, 602, 814, 519, 2757, 1374, 2609, 16887, 519, 519, 9923, 4302, 267, 519, 6830, 543, 519, 19289, 972, 568, 2760, 835, 1826, 540, 23732, 585, 835, 1826, 540, 2679, 610, 269, 1548, 568, 2413, 1148, 2263, 875, 2038, 2413, 26719, 14593, 519, 6302, 540, 2757, 2823, 571, 8132, 2442, 2528, 1451, 827, 519, 3310, 540, 2038, 3029, 540, 19297, 543, 10229, 593, 1148, 563, 15650, 540, 6589, 2757, 543, 2413, 454, 3719, 972, 781, 2965, 513, 3787, 811, 547, 9806, 6589, 982, 596, 1522, 1589, 2443, 1114, 2010, 540, 9806, 6589, 616, 2139, 1934, 616, 5722, 5013, 827, 2413, 9806, 6589, 602, 596, 1058, 2724, 2344, 6589, 2356, 7118, 811, 1719, 982, 513, 2757, 9806, 2272, 269, 19098, 610, 2272, 3599, 568, 519, 6482, 267, 4393, 267, 543, 2792, 540, 2883, 1344, 827, 2804, 9988, 971, 607, 4213, 543, 18294, 560, 515, 2413, 2361, 729, 3964, 676, 519, 621, 6501, 22301, 23058, 320, 31390, 2723, 328, 538, 476, 14983, 275, 8051, 267, 799, 814, 1044, 1572, 519, 1893, 540, 1870, 267, 3800, 519, 2164, 540, 606, 3919, 563, 10214, 2757, 8492, 723, 782, 707, 2883, 1344, 6740, 538, 513, 2462, 1239, 4099, 602, 1223, 581, 855, 952, 596, 9364, 2864, 946, 513, 2757, 4871, 547, 2347, 707, 8852, 610, 1205, 2055, 607, 2484, 607, 10992, 6589, 979, 267, 2228, 543, 2757, 8492, 616, 7168, 1454, 8405, 538, 269, 8177, 540, 552, 1532, 21403, 593, 2757, 12948, 2533, 695, 559, 3966, 642, 344, 553, 16005, 513, 1750, 4302, 610, 7662, 513, 3948, 540, 6589, 538, 3020, 2010, 267, 5383, 543, 7687, 540, 552, 1532, 21403, 621, 786, 849, 1397, 519, 1764, 540, 552, 268, 12948, 269, 634, 9238, 540, 12948, 543, 476, 274, 8925, 547, 513, 2757, 4871, 9270, 1247, 7446, 513, 4871, 4930, 2123, 8804, 476, 276, 1114, 2010, 540, 4871, 6589, 476, 276, 1114, 2010, 540, 4871, 6589, 4352, 8492, 2709, 269, 3399, 4974, 530, 322, 3803, 981, 15492, 476, 276, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 799, 3948, 1655, 6589, 585, 519, 23646, 4332, 3433, 538, 19580, 689, 476, 3422, 272, 547, 476, 1960, 271, 1044, 2111, 547, 11100, 2757, 543, 2413, 2081, 540, 3206, 543, 9117, 563, 11854, 539, 519, 1034, 1350, 2130, 3017, 1063, 2757, 543, 2780, 1242, 8051, 568, 519, 3432, 540, 4238, 609, 606, 8051, 1982, 267, 1239, 568, 9411, 2899, 543, 621, 568, 10710, 269, 1879, 7550, 3544, 922, 2757, 2528, 267, 2757, 4915, 568, 1419, 1572, 4244, 4915, 930, 2413, 4915, 568, 1759, 593, 2030, 20239, 12950, 338, 602, 1185, 1044, 1031, 538, 12563, 4915, 3622, 1614, 2010, 540, 740, 6254, 338, 1869, 946, 621, 269, 4855, 938, 1249, 6656, 827, 2413, 17758, 2907, 723, 606, 2272, 2845, 538, 1631, 547, 4688, 713, 2985, 547, 707, 2272, 2845, 2987, 17074, 1299, 10274, 910, 7650, 519, 4023, 960, 522, 3387, 644, 338, 2006, 568, 8149, 547, 3246, 5796, 602, 596, 666, 7048, 593, 269, 634, 2757, 4009, 540, 11685, 1101, 3370, 2003, 11160, 476, 279, 267, 476, 1960, 278, 3976, 11028, 4290, 532, 2757, 14985, 609, 2413, 5784, 533, 2678, 2520, 778, 267, 476, 3192, 271, 267, 476, 7830, 268, 5038, 267, 2982, 602, 713, 666, 581, 2944, 1210, 606, 796, 11499, 7664, 533, 2678, 12450, 5459, 269, 3567, 568, 513, 2197, 609, 513, 3638, 543, 4277, 1686, 13991, 547, 2575, 543, 7544, 621, 814, 7307, 547, 32006, 720, 543, 556, 268, 793, 924, 2757, 23929, 543, 7574, 2621, 269, 9828, 540, 31707, 1852, 281, 2757, 543, 2413, 2553, 2010, 540, 23348, 281, 1114, 2010, 540, 6578, 616, 607, 5205, 281, 630, 328, 264, 6455, 6578, 281, 5539, 8051, 630, 323, 264, 2359, 20894, 630, 324, 264, 14866, 543, 524, 10975, 269, 0, 7197, 1004, 609, 519, 3644, 723, 1100, 4791, 2589, 540, 4576, 267, 855, 930, 949, 1831, 2192, 1614, 547, 476, 1691, 2395, 1310, 519, 11116, 540, 606, 7783, 18151, 269, 4340, 547, 519, 15544, 585, 8376, 6513, 543, 10644, 267, 607, 540, 5130, 476, 280, 267, 476, 1001, 279, 267, 513, 2698, 540, 476, 5325, 2829, 543, 519, 10588, 540, 12052, 4080, 4639, 20407, 3644, 5563, 538, 1004, 267, 5017, 267, 610, 19498, 538, 476, 1001, 278, 563, 4910, 6342, 616, 24016, 547, 8524, 741, 5321, 543, 13452, 585, 2959, 540, 7555, 1216, 1141, 891, 19498, 616, 2693, 547, 9742, 267, 519, 5305, 7150, 269, 12580, 616, 2356, 7646, 543, 1331, 8611, 267, 15677, 543, 1560, 31191, 267, 855, 3978, 4576, 267, 971, 607, 29363, 4345, 543, 23971, 4345, 267, 543, 2669, 616, 2009, 563, 288, 5842, 28792, 9503, 17055, 729, 32509, 538, 2904, 609, 519, 2068, 267, 799, 568, 3262, 676, 519, 11116, 540, 606, 7783, 18151, 269, 834, 21982, 1175, 513, 1906, 3764, 547, 4894, 1022, 7555, 1216, 689, 707, 13452, 267, 4019, 5227, 18151, 28084, 757, 267, 543, 2327, 707, 6885, 543, 7450, 13819, 616, 1863, 540, 9475, 666, 948, 2149, 596, 543, 707, 2146, 689, 713, 19408, 2068, 2580, 1767, 808, 1563, 667, 1197, 267, 10588, 15440, 540, 519, 5842, 28792, 9503, 17018, 10181, 334, 543, 21070, 6513, 10588, 563, 8310, 1032, 267, 476, 8287, 17521, 538, 14889, 4080, 513, 4639, 20407, 3644, 2318, 16801, 267, 6177, 543, 5924, 1480, 2013, 563, 763, 10315, 4972, 540, 5398, 2657, 1281, 711, 3382, 519, 4872, 540, 17131, 611, 6511, 610, 7043, 16047, 267, 799, 723, 741, 1378, 1072, 8041, 267, 855, 9444, 2749, 814, 2943, 4080, 1022, 1480, 4639, 20407, 2665, 563, 289, 5674, 517, 322, 2946, 543, 20289, 19053, 6749, 9983, 17581, 1412, 31819, 1772, 11146, 262, 593, 570, 10537, 454, 297, 599, 1287, 20781, 6031, 267, 834, 312, 262, 718, 917, 875, 594, 1558, 1200, 267, 649, 13264, 909, 543, 3893, 1394, 1927, 1315, 1677, 1205, 1200, 1394, 267, 594, 1185, 547, 17570, 1200, 2668, 10348, 645, 543, 1200, 986, 3899, 9393, 1312, 20595, 3039, 2295, 3983, 2471, 689, 519, 10456, 275, 294, 1066, 325, 749, 5859, 563, 6097, 547, 519, 15544, 585, 8376, 6513, 543, 10644, 267, 2665, 540, 7904, 320, 19985, 18151, 19985, 543, 8743, 25645, 3676, 811, 982, 2468, 9482, 689, 476, 1220, 275, 2394, 476, 1001, 277, 269, 1306, 585, 32760, 267, 476, 10482, 2665, 723, 1044, 4080, 689, 476, 1001, 276, 998, 4873, 476, 272, 269, 7831, 1032, 781, 654, 301, 309, 4005, 729, 519, 13074, 4005, 593, 2594, 14178, 2394, 4571, 268, 20103, 269, 20661, 476, 2568, 1296, 2025, 543, 4587, 723, 519, 5207, 1981, 540, 4049, 4576, 3361, 676, 4639, 20407, 3644, 563, 288, 18151, 11116, 1223, 1291, 547, 1082, 1114, 2010, 540, 3676, 267, 2436, 4686, 610, 1455, 563, 22879, 18151, 19899, 6479, 2127, 693, 21554, 543, 546, 23677, 563, 8196, 28084, 757, 5627, 16692, 4953, 267, 17552, 541, 573, 514, 267, 610, 3282, 540, 11993, 552, 32023, 269, 674, 1460, 610, 5372, 13819, 602, 723, 17229, 610, 9475, 269, 1452, 616, 6305, 9960, 12406, 585, 19498, 269, 8347, 547, 1832, 9885, 543, 9486, 9505, 267, 2523, 693, 3781, 563, 10387, 27679, 543, 11547, 6177, 321, 23411, 543, 530, 8172, 20115, 12353, 269, 0, 3528, 570, 306, 25885, 15751, 2088, 21701, 454, 273, 526, 17224, 18209, 6925, 8293, 611, 1258, 454, 2690, 2123, 4027, 543, 6604, 267, 5398, 2657, 15565, 1210, 513, 18151, 28084, 550, 602, 3568, 16692, 4953, 267, 609, 513, 5934, 476, 1789, 2600, 16692, 4953, 585, 1453, 269, 1452, 2472, 616, 711, 5227, 585, 1453, 896, 476, 273, 3275, 540, 2085, 269, 634, 15544, 585, 8376, 6513, 543, 10644, 15565, 1739, 519, 1587, 6003, 1344, 950, 1210, 18151, 28084, 550, 269, 3115, 749, 550, 1058, 581, 4294, 547, 519, 2960, 2627, 543, 9660, 269, 1684, 711, 4019, 547, 2127, 540, 519, 2960, 602, 616, 7745, 610, 18284, 7802, 269, 1879, 7311, 547, 519, 3068, 267, 6299, 519, 28084, 550, 593, 707, 3946, 1287, 4019, 547, 519, 3068, 267, 5329, 2476, 689, 707, 4064, 269, 1280, 6905, 5712, 540, 9205, 4598, 267, 5957, 1279, 1606, 23932, 1386, 695, 16630, 543, 27890, 269, 1684, 711, 3575, 13526, 6979, 610, 524, 860, 5886, 609, 16692, 4953, 950, 3544, 585, 3476, 5712, 540, 942, 269, 3550, 602, 707, 9486, 543, 9885, 616, 20177, 609, 9395, 1922, 9231, 13819, 602, 616, 1863, 540, 9475, 269, 1677, 1852, 519, 2551, 1472, 707, 1753, 267, 4894 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 811, 3604, 1063, 2950, 269, 769, 519, 2680, 1142, 824, 9602, 543, 596, 666, 10682, 585, 4609, 723, 519, 6697, 2179, 540, 13592, 267, 6207, 5542, 1152, 711, 1419, 13071, 2242, 693, 519, 10682, 585, 4950, 269, 2372, 2884, 1357, 4609, 267, 855, 711, 267, 616, 711, 1813, 547, 519, 1249, 3908, 563, 298, 516, 527, 2006, 2119, 519, 3312, 1397, 602, 14980, 4609, 10004, 21163, 10004, 729, 10416, 2484, 811, 1689, 762, 982, 1175, 8193, 1357, 4609, 269, 8056, 2664, 2299, 1310, 519, 2409, 2476, 689, 5027, 15971, 729, 538, 1249, 1336, 267, 646, 3524, 10642, 22221, 27586, 540, 835, 779, 3114, 23931, 16098, 13204, 4088, 848, 630, 3849, 295, 1040, 2986, 519, 476, 6246, 26340, 545, 30859, 4950, 646, 3605, 267, 1175, 835, 1291, 547, 513, 14842, 540, 519, 4195, 1007, 11254, 3679, 3126, 540, 3940, 563, 295, 19813, 4609, 949, 711, 581, 11207, 10502, 2596, 269, 15742, 5027, 9696, 616, 14126, 609, 8060, 856, 6361, 1920, 6090, 267, 19260, 538, 1346, 4609, 666, 581, 18111, 614, 1190, 269, 1230, 9690, 569, 267, 4352, 1896, 13798, 976, 3009, 2348, 1175, 835, 11254, 15755, 267, 513, 1062, 538, 334, 15755, 269, 901, 786, 581, 3957, 13798, 517, 9186, 563, 1103, 519, 2680, 602, 513, 1906, 2249, 8994, 513, 2487, 9053, 22660, 835, 1131, 2503, 22420, 1344, 267, 1256, 7840, 971, 32118, 22951, 1938, 607, 1134, 607, 519, 10311, 1055, 703, 6425, 6382, 15554, 4094, 525, 267, 4742, 2147, 269, 3962, 824, 2010, 1522, 723, 5293, 1524, 713, 1344, 689, 741, 2442, 22660, 563, 763, 2179, 540, 11696, 28917, 883, 519, 30859, 3126, 568, 513, 3483, 540, 27754, 1554, 269, 1403, 519, 513, 1906, 2950, 3893, 814, 1175, 8237, 267, 15185, 21441, 1223, 723, 3710, 909, 1851, 873, 269, 1879, 789, 8237, 1279, 3516, 267, 585, 1169, 1004, 1522, 723, 2919, 2789, 7648, 1210, 741, 7986, 31317, 630, 663, 1169, 1034, 824, 1040, 634, 2179, 540, 16726, 1131, 1439, 909, 1373, 513, 3483, 540, 8152, 1117, 3079, 540, 10682, 4950, 269, 9149, 543, 596, 786, 3400, 584, 267, 3330, 741, 1770, 4720, 1257, 5048, 267, 2285, 519, 3790, 3823, 13120, 585, 14980, 8957, 269, 10682, 585, 3928, 269, 634, 21777, 3928, 729, 15810, 856, 6361, 5311, 17804, 856, 540, 476, 3066, 6090, 540, 1480, 7919, 543, 23224, 267, 543, 713, 11651, 3022, 593, 476, 3199, 2113, 1296, 3516, 269, 8125, 550, 4950, 4609, 4957, 1369, 519, 6093, 2557, 540, 24140, 520, 549, 269, 8618, 30859, 10682, 829, 1357, 335, 1137, 829, 4557, 476, 280, 2085, 269, 1234, 10293, 7270, 4359, 3500, 1282, 519, 519, 3328, 3928, 856, 540, 476, 271, 269, 5952, 30859, 2655, 4801, 585, 1142, 1357, 335, 1137, 1142, 476, 1015, 476, 280, 1082, 1296, 563, 22746, 15554, 4094, 525, 267, 703, 6425, 630, 553, 513, 2898, 264, 11457, 4130, 982, 5752, 13980, 540, 513, 5444, 454, 294, 12952, 540, 1644, 4551, 616, 2048, 19702, 725, 883, 519, 606, 5140, 6249, 685, 2443, 513, 2147, 5542, 540, 7633, 616, 1031, 547, 1711, 1034, 540, 519, 30900, 269, 634, 7633, 540, 707, 1367, 1688, 1628, 856, 689, 519, 1482, 2497, 1813, 547, 519, 1249, 22403, 689, 1434, 10627, 779, 2427, 610, 1434, 17962, 779, 1166, 23124, 282, 543, 596, 786, 267, 789, 1397, 540, 1082, 8159, 814, 2965, 1519, 4887, 2527, 10380, 2188, 543, 596, 666, 31393, 269, 22427, 569, 519, 1152, 5458, 3017, 568, 1317, 789, 568, 2965, 26987, 538, 1114, 2081, 269, 12472, 776, 27563, 1533, 621, 5526, 602, 11864, 568, 9168, 18939, 3823, 513, 1455, 22660, 799, 1185, 519, 1482, 14228, 540, 7633, 563, 17445, 569, 1644, 4551, 2769, 2147, 11095, 11444, 269, 1306, 519, 4551, 1020, 267, 922, 11095, 2619, 3587, 9168, 269, 589, 2462, 1689, 7404, 519, 2057, 856, 6361, 513, 1390, 11095, 2619, 568, 2965, 1447, 19038, 547, 581, 18111, 614, 1190, 982, 1175, 19260, 538, 2038, 1646, 269, 1325, 614, 538, 519, 4098, 1223, 723, 1434, 13576, 1198, 269, 1280, 713, 2601, 5393, 12105, 2242, 538, 8798, 616, 2838, 602, 4386, 1282, 519, 13020, 344, 2476, 689, 8798, 267, 610, 1256, 538, 2038, 4525, 540, 8798, 609, 1100, 2663, 29854, 269, 1280, 2899, 1282, 519, 2038, 5647, 1831, 9070, 730, 267, 519, 5413, 540, 2038, 14842, 991, 6157, 547, 9765, 519, 4539, 865, 596, 666, 2663, 8798, 269, 0, 300, 746, 532, 281, 875, 5068, 2694, 616, 1500, 454, 1103, 20287, 22285, 532, 568, 513, 5663, 1184, 1031, 547, 1118, 5068, 2694, 676, 7630, 532, 513, 16213, 540, 1570, 883, 513, 22285, 585, 15229, 269, 853, 600, 680, 770, 3096, 5767, 5108, 22285, 532, 6191, 267, 8596, 267, 6354, 22399, 543, 18951, 7916, 547, 3640, 519, 22285, 539, 851, 609, 3432, 543, 8856, 563, 1805, 23461, 543, 22285, 532, 6191, 585, 5969, 12967, 22285, 532, 454, 763, 22285, 532, 11623, 616, 2966, 547, 2327, 519, 5207, 2298, 267, 538, 1899, 609, 519, 4441, 2838, 676, 519, 1496, 5793, 3685, 9922, 4940, 13870, 585, 519, 2564, 543, 23815, 9922, 267, 585, 1383, 267, 3217, 1747, 538, 2973, 11623, 9280, 609, 1949, 585, 4227, 23606, 543, 9013, 22285, 532, 2175, 563, 1692, 5068, 22285, 532, 568, 4535, 454, 2026, 649, 917, 267, 5068, 538, 519, 2034, 3368, 540, 519, 14206, 2540, 9411, 782, 5321, 543, 782, 2127, 540, 938, 3232, 1272, 269, 1809, 621, 568, 2094, 519, 476, 4350, 271, 338, 602, 519, 13210, 941, 9788, 585, 519, 18236, 540, 5499, 4874, 1337, 2326, 267, 7064, 547, 519, 1646, 540, 519, 22285, 532, 2504, 4480, 269, 6056, 875, 1454, 519, 1646, 540, 15229, 814, 1500, 938, 3232, 1272, 4443, 267, 10930, 543, 811, 1187, 256, 0, 22117, 619, 616, 2813, 609, 2182, 960, 543, 1898, 1983, 269, 1358, 18663, 741, 1016, 24002, 543, 1544, 875, 547, 3035, 2318, 4093, 538, 519, 1034, 3608, 543, 3532, 1259, 563, 1103, 2013, 519, 6205, 3884, 1405, 2500, 267, 1287, 519, 5520, 543, 741, 2164, 786, 4440, 581, 12042, 1229, 269, 1403, 513, 1007, 6205, 267, 596, 949, 3605, 3054, 538, 513, 25896, 1141, 596, 2811, 10567, 547, 4383, 513, 2319, 602, 814, 1044, 4847, 547, 1831, 5360, 8809, 538, 824, 1913, 267, 513, 2319, 602, 3884, 1405, 8246, 547, 1373, 3366, 998, 606, 2500, 9614, 563, 15862, 11905, 281, 5616, 454, 12179, 3811, 1870, 6205, 17767, 602, 15518, 566, 568, 2565, 269, 24285, 540, 2221, 2697, 17053, 3401, 538, 519, 1870, 1287, 2285, 873, 519, 2838, 5718, 2866, 602, 1131, 948, 1020, 741, 5718, 5759, 563, 1692, 798, 5718, 543, 2359, 7500, 1927, 888, 22117, 11429, 568, 513, 1713, 3483, 540, 2359, 602, 2337, 547, 11694, 4398, 543, 547, 3914, 10721, 6859, 269, 19078, 5718, 568, 1271, 585, 2221, 781, 3401, 269, 898, 3340, 5683, 3401, 269, 2201, 519, 824, 1688, 267, 2981, 1049, 5718, 568, 513, 2186, 540, 5718, 2511, 602, 2164, 538, 2318, 2242, 538, 1346, 945, 1246, 563, 11997, 267, 621, 568, 519, 2702, 540, 513, 1268, 945, 568, 5827, 540, 30070, 2516, 540, 1004, 2509, 513, 1455, 3804, 543, 814, 1831, 606, 1271, 5578, 1305, 538, 2221, 781, 1870, 1158, 269, 15557, 543, 2359, 7500, 1927, 269, 717, 821, 616, 519, 2395, 950, 606, 22265, 2511, 540, 5718, 729, 13736, 269, 0, 763, 2817, 6052, 8274, 630, 20911, 289, 610, 519, 8274, 264, 568, 606, 4830, 9431, 5513, 26915, 602, 21560, 1585, 3344, 540, 519, 8225, 1648, 2872, 267, 1519, 519, 1374, 267, 4070, 267, 5106, 543, 10205, 618, 540, 3282, 543, 3154, 27983, 602, 3444, 21621, 610, 3486, 10665, 269, 7201, 3296, 476, 10619, 263, 272, 7565, 323, 264, 540, 519, 2817, 6052, 8274, 2920, 267, 513, 2754, 4927, 711, 267, 1510, 519, 4734, 540, 519, 8274, 267, 10205, 519, 5106, 540, 513, 18180, 269, 1677, 4266, 267, 1152, 835, 1804, 8397, 10205, 618, 540, 606, 17252, 289, 15696, 4327, 18180, 814, 7018, 269, 1717, 267, 607, 18180, 5989, 6502, 543, 6990, 6521, 267, 18180, 10205, 906, 616, 2693, 547, 1831, 811, 1455, 269, 898, 568, 4061, 1271, 547, 2689, 543, 1451, 689, 713, 2013, 865, 602, 2872, 543, 22124, 949, 1198, 2104, 10205, 906, 538, 607, 3608, 543, 13476, 3743, 513, 6073, 607, 2009, 269, 634, 962, 4157, 517, 26932, 5202, 729, 851, 540, 519, 2052, 565, 26932, 5202, 3710, 676, 519, 2136, 2276, 8136, 538, 476, 3707, 273, 269, 3245, 476, 4198, 279, 998, 476, 1960, 275, 267, 962, 4157, 517, 26932, 3894, 17290, 630, 312, 12195, 264, 543, 1644, 3549, 13234, 519, 6712, 540, 18180, 689, 4787, 698, 3118, 267, 14522, 267, 547, 6519, 1817, 572, 267, 962, 4157, 517, 267, 547, 3560, 19460, 3282, 267, 17088, 4492, 543, 17405, 547, 6519, 1817, 572, 585, 3892, 543, 946, 538, 519, 962, 4157, 517, 269, 634, 476, 14625, 5998, 8225, 6712, 540, 519, 962, 4157, 517, 26932, 5202, 267, 607, 1134, 607, 606, 2404, 6802, 6728, 693, 595, 2117, 1484, 267, 962, 4157, 517, 267, 543, 513, 7382, 3484, 538, 6519, 1817, 572, 267, 723, 1044, 14931, 676, 519, 17252, 289, 2094, 476, 3422, 273, 269, 1323, 10205, 618, 6217, 729, 4371, 538, 476, 1960, 277, 267, 543, 519, 17252, 289, 9783, 513, 19585, 1931, 26587, 962, 12195, 4734, 547, 10205, 519, 18180, 269, 634, 1931, 1131, 711, 2097, 883, 3196, 2394, 962, 12195, 5342, 2417, 8764, 656, 7634, 543, 9709, 543, 6707, 6192, 1121, 539, 658, 960, 267, 782, 538, 15360, 609, 513, 3099, 540, 8639, 543, 9431, 4703, 269, 634, 2168, 10205, 618, 540, 519, 962, 12195, 6703, 729, 5266, 3551, 269, 31056, 2152, 829, 1555, 5097, 547, 519, 5571, 2404, 32598, 540, 3140, 12526, 269, 12694, 1331, 3617, 18572, 540, 519, 3135, 267, 4657, 2825, 4441, 543, 9431, 10850, 267, 2242, 538, 1935, 547, 32598, 540, 519, 3135, 267, 543, 1950, 11758, 12302, 4205, 269, 7981, 4145, 829, 1555, 547, 519, 3498, 540, 2825, 1981, 4879, 543, 1981, 2359, 269, 769, 1931, 585, 2104, 10205, 618, 3785, 547, 8399, 7561, 543, 3927, 267, 621, 568, 5227, 602, 3135, 18572, 543, 1981, 4879, 960, 581, 6192, 2038, 538, 519, 1184, 267, 602, 1981, 2359, 4058, 849, 581, 6192, 607, 2038, 607, 2009, 630, 10175, 4058, 875, 3135, 19479, 786, 581, 6913, 1369, 519, 10858, 9431, 2796, 1070, 543, 602, 519, 10205, 618, 1184, 543, 14074, 581, 18481, 8465, 547, 13918, 4657, 6381, 1247, 1869, 8236, 519, 5551, 1439, 1267, 563, 268, 26932, 5202, 10406, 454, 2304, 11137, 540, 7025, 12983, 623, 1643, 532, 547, 2806, 9646, 618, 540, 606, 17252, 289, 7304, 1122, 4327, 26932, 5202, 281, 589, 8865, 5530, 540, 519, 962, 4157, 517, 26932, 3894, 17290, 2806, 9646, 618, 454, 268, 14358, 27748, 14358, 454, 268, 9523, 27748, 9523, 454, 268, 9612, 13505, 454, 21659, 4802, 267, 26395, 269, 834, 2304, 11137, 540, 7025, 12983, 623, 1643, 532, 547, 2806, 9646, 618, 540, 606, 17252, 289, 7304, 1122, 4327, 26932, 5202, 281, 589, 8865, 5530, 540, 519, 962, 4157, 517, 26932, 3894, 17290, 2806, 9646, 618, 1701, 18619, 540, 519, 476, 1220, 277, 4139, 26932, 5202, 10985, 269, 11730, 476, 272, 281, 5741, 5004, 282, 5071, 543, 14716, 282, 7025, 12983, 282, 22944, 22230, 520, 15390, 4886, 282, 30404, 18768, 543, 24021, 12983, 282, 15051, 543, 20904, 282, 623, 25100, 1456, 538, 8832, 2037, 4921, 282, 11621, 543, 22769, 269, 2836, 326, 776, 267, 22598, 267, 4516, 269, 5181, 476, 1839, 1700, 3066, 267, 476, 1220, 277, 269, 6032, 269, 476, 30156, 268, 275, 2537, 269, 6789, 10933, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 9340, 276, 270, 7709, 290, 1220, 277, 268, 10441, 4510, 454, 12606, 11239, 3758, 281, 0, 12441, 596, 917, 602, 9682, 12445, 568, 513, 1826, 540, 17568, 2029, 286, 898, 1568, 676, 1210, 15408, 547, 10141, 6786, 593, 3047, 269, 1452, 6786, 616, 1287, 1031, 593, 15870, 2256, 1392, 547, 1265, 856, 519, 4087, 543, 3432, 540, 513, 6174, 267, 6928, 267, 20987, 267, 610, 1776, 5985, 3926, 269, 901, 2376, 786, 3382, 3388, 689, 519, 1686, 540, 9682, 12445, 547, 875, 621, 779, 1373, 1031, 2221, 256, 1284, 786, 849, 1865, 1114, 2010, 540, 1949, 602, 2291, 2221, 543, 1018, 789, 798, 269, 7053, 267, 649, 786, 2911, 827, 930, 3156, 602, 946, 11837, 1239, 689, 15408, 563, 3963, 616, 972, 1869, 12445, 3457, 693, 782, 950, 972, 616, 16389, 888, 1103, 29492, 267, 594, 2141, 5873, 519, 3948, 281, 968, 296, 1810, 1406, 991, 4376, 2027, 267, 594, 723, 1250, 16335, 267, 5616, 2907, 2337, 803, 269, 901, 1797, 602, 513, 12445, 3926, 3085, 1406, 723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2710, 649, 13498, 519, 1158, 607, 621, 568, 267, 610, 616, 938, 12823, 3006, 18174, 539, 286, 12315, 606, 1383, 689, 707, 1378, 1272, 269, 2311, 2547, 476, 7742, 2262, 3355, 3210, 27619, 519, 2626, 547, 2070, 621, 454, 8110, 576, 1516, 519, 1158, 607, 621, 5963, 568, 814, 1044, 513, 1641, 540, 10952, 14374, 585, 5553, 269, 901, 2243, 12538, 883, 519, 1950, 2078, 1063, 10444, 8226, 543, 6662, 4641, 269, 2755, 938, 12823, 616, 3335, 6325, 538, 3246, 721, 609, 1344, 827, 519, 5007, 1158, 267, 972, 616, 8320, 1141, 789, 666, 581, 13587, 1882, 267, 3056, 547, 513, 25302, 8226, 540, 4641, 563, 3080, 5929, 1383, 540, 10444, 26760, 568, 519, 9804, 21903, 269, 30677, 2192, 16272, 2049, 950, 938, 3308, 1062, 31495, 2181, 1206, 610, 3765, 10517, 637, 757, 519, 3308, 1344, 621, 11392, 269, 1280, 3236, 267, 519, 1134, 8153, 28228, 28705, 6441, 9807, 21903, 6799, 1079, 3515, 540, 3160, 3259, 267, 855, 1813, 547, 519, 13307, 540, 21985, 693, 519, 7475, 540, 1142, 1899, 267, 835, 1899, 5526, 3476, 982, 519, 824, 269, 6736, 938, 4656, 602, 519, 3515, 616, 2965, 519, 1482, 3259, 267, 938, 3308, 1062, 15361, 938, 8226, 883, 18468, 6382, 563, 1103, 1250, 1378, 1272, 267, 594, 723, 849, 4810, 8320, 1141, 1250, 12823, 723, 1044, 18174, 539, 269, 2290, 971, 1383, 7018, 1282, 513, 30382, 538, 519, 10239, 269, 1306, 594, 10841, 2105, 547, 2362, 31556, 267, 594, 3459, 547, 5469, 602, 519, 11397, 5251, 7902, 6251, 982, 621, 2965, 729, 269, 901, 7613, 267, 1634, 607, 19666, 5133, 610, 11626, 5133, 267, 568, 3361, 676, 519, 22502, 540, 1769, 676, 5536, 538, 519, 5790, 269, 634, 3152, 519, 3845, 267, 519, 811, 1769, 568, 16559, 267, 4611, 538, 513, 9228, 20747, 2590, 543, 13496, 540, 519, 5251, 269, 769, 713, 2013, 267, 1250, 12823, 941, 13587, 1882, 267, 607, 594, 7620, 5156, 519, 11397, 10239, 941, 1454, 6251, 982, 789, 5963, 941, 563, 4913, 267, 621, 568, 1271, 547, 4063, 602, 891, 8320, 540, 10444, 26760, 798, 711, 8209, 17538, 602, 649, 2760, 13498, 519, 1158, 607, 621, 568, 269, 3776, 12823, 616, 3622, 6325, 543, 4977, 538, 3246, 721, 609, 1344, 827, 938, 1604, 269, 1358, 5512, 721, 547, 6330, 543, 2170, 609, 519, 1158, 3927, 563, 11101, 267, 938, 8226, 540, 4641, 568, 711, 9003, 882, 5050, 593, 10444, 3403, 269, 3776, 12058, 1404, 513, 2629, 1909, 538, 16208, 543, 1818, 2631, 540, 519, 10444, 1344, 649, 4309, 269, 901, 1184, 3322, 10128, 11378, 689, 1585, 12823, 267, 607, 1134, 607, 5373, 689, 938, 2250, 2833, 267, 1702, 267, 543, 6788, 269, 4935, 267, 938, 8226, 568, 606, 6946, 16799, 1063, 10444, 3403, 543, 5042, 3157, 563, 13010, 267, 519, 1523, 540, 968, 516, 1275, 892, 3294, 568, 15491, 543, 16148, 269, 3962, 1367, 814, 741, 1378, 2189, 829, 24632, 2833, 267, 6766, 676, 2188, 971, 607, 2686, 4282, 267, 2123, 4978, 267, 543, 5042, 12886, 269, 9182, 267, 1018, 835, 1268, 6544, 1161, 607, 4641, 949, 8428, 689, 1776, 1268, 779, 8226, 563, 1103, 3932, 267, 1247, 938, 12823, 616, 3622, 6325, 538, 6544, 1516, 519, 1158, 607, 621, 568, 267, 789, 666, 581, 13587, 1882, 593, 1978, 14026, 269, 30677, 2192, 16272, 543, 9259, 899, 19666, 5133, 6542, 8320, 1141, 938, 12823, 666, 31495, 13133, 610, 3765, 10517, 6974, 10444, 1344, 269, 1717, 267, 891, 8320, 540, 10444, 26760, 798, 711, 2258, 622, 519, 1249, 602, 938, 12823, 616, 3335, 4977, 543, 1450, 721, 547, 6330, 543, 2170, 609, 519, 1158, 3927, 269, 5047, 267, 8226, 568, 711, 9003, 8200, 593, 10444, 3403, 855, 849, 3322, 5042, 3157, 267, 799, 616, 6766, 676, 1367, 2188, 269, 4475, 267, 519, 2243, 540, 6544, 1516, 519, 1158, 607, 621, 568, 3788, 513, 1950, 543, 10952, 14374, 269, 0, 763, 26499, 540, 12619, 344, 4591, 869, 454, 763, 26499, 540, 12619, 344, 4591, 869, 568, 513, 5929, 2110, 1650, 676, 6115, 7054, 1324, 602, 568, 1419, 2808, 513, 22294, 540, 1977, 3332, 269, 634, 1650, 267, 1305, 538, 519, 3735, 476, 1240, 628, 2540, 538, 513, 10656, 11175, 538, 909, 8063, 1715, 3840, 267, 5205, 519, 1915, 540, 594, 577, 629, 617, 595, 8735, 543, 1010, 7237, 609, 519, 12357, 10361, 1652, 21696, 2006, 269, 634, 1650, 568, 1634, 585, 922, 5790, 540, 9814, 543, 519, 16750, 267, 607, 1134, 607, 922, 16555, 593, 1977, 2528, 543, 2486, 693, 519, 942, 269, 898, 568, 2808, 547, 581, 513, 1590, 22345, 585, 4896, 5461, 538, 1977, 3332, 543, 519, 1646, 540, 519, 1977, 5339, 2245, 269, 0, 5938, 996, 8860, 267, 23963, 1634, 607, 20015, 343, 1143, 267, 5540, 6634, 1472, 519, 1158, 267, 4929, 5959, 2152, 899, 19596, 5957, 267, 10265, 1928, 267, 14331, 267, 543, 1256, 811, 4049, 2175, 899, 9389, 558, 663, 24212, 4745, 630, 26774, 297, 264, 4713, 269, 1677, 25559, 713, 17672, 2623, 543, 2149, 1312, 707, 4522, 543, 3207, 267, 621, 779, 5227, 547, 946, 2688, 13402, 3781, 22651, 269, 1452, 2688, 27059, 5959, 14233, 957, 607, 513, 13104, 1063, 707, 5580, 543, 2539, 4522, 267, 3927, 7303, 4522, 8860, 543, 10893, 922, 4539, 563, 3719, 875, 798, 3781, 22651, 960, 286, 901, 5816, 11828, 519, 2257, 3297, 891, 5959, 2261, 12069, 563, 8139, 519, 23317, 540, 25362, 343, 1143, 454, 6524, 11362, 883, 519, 2257, 540, 3781, 22651, 267, 621, 781, 2629, 547, 1174, 519, 11707, 540, 20015, 343, 1143, 269, 25362, 343, 1143, 666, 6565, 689, 540, 2566, 267, 4160, 267, 16789, 4522, 12972, 630, 7356, 665, 2424, 1070, 543, 3207, 4713, 269, 634, 29287, 8860, 543, 804, 523, 4221, 11851, 7050, 3196, 593, 519, 4522, 267, 3056, 547, 19596, 5957, 267, 18655, 267, 543, 10733, 21748, 269, 634, 2604, 593, 519, 25633, 297, 666, 849, 2014, 4745, 1928, 543, 9636, 563, 29590, 543, 4160, 1404, 513, 1713, 1909, 538, 20015, 343, 1143, 269, 4427, 10940, 2566, 23314, 1282, 3207, 666, 9594, 4522, 8860, 267, 1247, 796, 637, 9407, 4160, 666, 14556, 1518, 713, 3210, 269, 5047, 267, 4731, 665, 2424, 267, 1141, 4522, 1810, 1405, 5447, 5265, 267, 666, 3565, 547, 20015, 343, 1143, 676, 2870, 606, 19261, 538, 519, 11116, 267, 20872, 8860, 543, 804, 523, 4221, 269, 12619, 4713, 267, 971, 607, 3207, 19103, 610, 2879, 1681, 267, 616, 849, 5532, 547, 20015, 343, 1143, 269, 2598, 32152, 7244, 3270, 543, 4887, 8082, 2404, 609, 891, 2175, 666, 20006, 4522, 8860, 1282, 3207, 563, 763, 10020, 540, 11426, 13957, 2871, 1841, 454, 20578, 3781, 22651, 957, 607, 519, 4395, 1467, 8878, 1996, 20015, 343, 1143, 267, 8647, 607, 513, 8825, 11064, 1063, 707, 4522, 269, 1452, 22651, 616, 23939, 3358, 547, 3514, 707, 2189, 5959, 2497, 267, 4180, 4313, 543, 8856, 269, 1635, 9849, 873, 1282, 3207, 267, 519, 4229, 6383, 676, 8860, 543, 804, 523, 4221, 616, 7856, 14961, 267, 3648, 4227, 741, 1764, 593, 1312, 4522, 543, 10265, 10549, 269, 3371, 779, 519, 1909, 540, 2688, 13402, 3781, 22651, 538, 5355, 5711, 1072, 267, 3207, 2298, 267, 11116, 12972, 267, 3092, 563, 289, 924, 1325, 9892, 543, 744, 322, 1816, 531, 853, 1464, 454, 289, 924, 12972, 267, 849, 1634, 607, 29473, 2424, 267, 4016, 547, 519, 1259, 707, 5580, 543, 2539, 4522, 2097, 1927, 950, 596, 2673, 707, 5023, 269, 589, 1134, 268, 7955, 539, 11116, 5849, 602, 707, 4522, 3514, 1927, 32069, 543, 1599, 5265, 1282, 2238, 899, 21400, 543, 6340, 269, 1879, 707, 11116, 568, 5265, 13988, 267, 519, 4229, 6383, 676, 21400, 616, 7856, 14961, 2066, 707, 4522, 267, 7303, 7050, 5957, 593, 1808, 4522, 543, 10893, 8833, 593, 707, 10265, 10549, 267, 6091, 267, 543, 5885, 3889, 563, 3080, 540, 519, 2565, 3621, 3344, 540, 2688, 3781, 22651, 568, 741, 2702, 547, 3986, 11116, 12972, 543, 29473, 1816, 531, 6617, 269, 634, 2688, 3514, 540, 519, 3781, 9856, 2337, 5447, 707, 5580, 543, 2539, 28287, 5688, 958, 267, 3976, 4227, 519, 8833, 593, 519, 25633, 297, 269, 1635, 5009, 513, 7059, 11116, 543, 10893, 12150, 5694, 3346, 267, 2688, 3781, 22651, 1404, 513, 11358, 1909, 538, 10970, 11868, 519, 2589, 540, 20015, 343, 1143, 563, 27028, 26975, 543, 17392, 540, 17086, 454, 20578, 3781, 22651, 616, 22041, 1210, 4359, 2326, 12021, 585, 741, 6043, 269, 1452, 2326, 4865, 519, 7415, 2702, 547, 10110, 543, 15814, 519, 4229, 6383, 1282, 8860, 543, 804, 523, 4221, 269, 1635, 21716, 713, 1764, 267, 2688, 3781, 22651, 957, 607, 513, 13104, 267, 7863, 707, 5694, 19596, 689, 7050, 5957, 543, 519, 1981, 540, 18655, 269, 5047, 267, 789, 13468, 519, 8833, 593, 519, 25633, 297, 267, 17212, 1324, 10265, 1928, 543, 9636, 563, 15404, 2193, 4039, 1314, 566, 543, 22532, 11202, 1811, 454, 20578, 3781, 22651, 979, 3564, 2168, 4027, 282, 789, 849, 3310, 4887, 11005, 543, 8849, 11444, 4448, 547, 20015, 343, 1143, 269, 634, 4527, 540, 519, 3781, 9856, 5932, 513, 16885, 334, 21082, 17003, 267, 799, 2337, 6001, 519, 6091, 5532, 547, 4522, 8860, 269, 1160, 3064, 334, 4003, 4016, 547, 519, 1560, 781, 4390, 547, 2631, 922, 2990, 543, 5322, 269, 11426, 3781, 22651, 7520, 1427, 20995, 8849, 11444, 3743, 585, 20015, 343, 1143, 676, 5356, 513, 5812, 543, 6417, 17003, 267, 3927, 4227, 8860, 543, 804, 523, 4221, 2623, 563, 18719, 1324, 12619, 10866, 454, 288, 2635, 3207, 6296, 568, 4909, 585, 2949, 1072, 543, 1134, 5630, 269, 11426, 3781, 22651, 1404, 513, 11358, 1909, 538, 8236, 713, 676, 19620, 796, 5793, 32152, 3207, 3270, 543, 3850, 596, 547, 1995, 29260, 3207, 5933, 269, 1452, 5959, 2645, 3648, 2569, 519, 6846, 6383, 676, 4522, 8860, 269, 901, 2640, 707, 3207, 543, 838, 4100, 707, 3207, 7649, 689, 26688, 4992, 267, 4180, 513, 26982, 2678, 543, 811, 12560, 1604, 563, 20578, 3781, 22651, 948, 6001, 519, 10265, 6091, 676, 3246, 513, 31289, 532, 1198, 269, 901, 11005, 8309, 547, 8519, 9636, 543, 8992, 513, 811, 6899, 3207, 1995, 269, 5047, 267, 13957, 22651, 2569, 519, 10171, 540, 24971, 909, 1813, 547, 519, 14815, 540, 8860, 269, 2060, 1447, 26688, 32570, 902, 267, 596, 666, 2972, 3476, 5712, 540, 796, 5793, 32152, 3207, 267, 3850, 596, 547, 4783, 998, 1585, 3207, 5933, 1898, 585, 11808, 563, 3086, 602, 596, 917, 875, 3781, 22651, 960, 267, 621, 779, 1898, 547, 1902, 538, 11290, 3146, 5570, 2105, 2688, 13402, 3781, 22651, 269, 1284, 2709, 606, 5140, 2039, 540, 2688, 13402, 3681, 693, 13068, 1290, 3228, 13957, 2871, 1841, 269, 23850, 609, 14167, 2298, 543, 11108, 3028, 538, 2247, 267, 938, 2571, 267, 16600, 268, 706, 571, 1076, 267, 14463, 267, 543, 16600, 6253, 514, 3781, 4522, 22651, 8597, 547, 8795, 2157, 540, 4522, 8860, 269, 634, 1184, 568, 2241, 281, 2991, 11093, 606, 1931, 267, 596, 3513, 4309, 606, 12705, 6539, 609, 5528, 269, 27189, 1394, 707, 24221, 267, 543, 938, 9952, 5959, 23390, 786, 4739, 707, 4522, 8860, 9856, 585, 9042, 563, 2252, 596, 2811, 5275, 513, 3070, 585, 4522, 8860, 543, 922, 2404, 4539, 267, 1451, 875, 3781, 22651, 960, 267, 543, 3643, 938, 3896, 547, 2263, 513, 2647, 2039, 540, 2312, 2688, 3781, 9856, 269, 0, 22897, 267, 519, 13710, 3196, 602, 814, 18955, 3294, 883, 519, 1360, 5958, 540, 1480, 6228, 267, 4564, 519, 533, 4883, 12386, 540, 938, 7214, 23258, 269, 3245, 519, 3504, 6602, 540, 3595, 547, 519, 1459, 5736, 540, 5841, 4987, 267, 1142, 5647, 7436, 513, 3184, 538, 519, 5571, 521, 15676, 540, 1480, 27265, 269, 634, 4367, 540, 2029, 547, 18495, 814, 1044, 4986, 2110, 540, 12316, 267, 19249, 519, 1576, 540, 1686, 543, 18534, 12686, 519, 1259, 649, 13498, 543, 2170, 609, 519, 1158, 563, 1103, 922, 26638, 267, 2029, 28955, 607, 25229, 21747, 2645, 267, 7586, 4328, 938, 2702, 547, 13861, 519, 1604, 269, 1306, 942, 4652, 584, 1194, 922, 13795, 267, 519, 3138, 558, 540, 5647, 530, 913, 6946, 3270, 1765, 20253, 1564, 267, 2854, 1893, 267, 543, 8228, 2046, 525, 20196, 3808, 7239, 1927, 543, 18965, 519, 23425, 540, 1702, 269, 634, 11633, 7169, 1200, 531, 4765, 606, 2085, 540, 2964, 1436, 267, 4412, 2454, 8103, 883, 606, 5736, 540, 2527, 2504, 543, 2804, 23009, 2670, 563, 763, 476, 736, 628, 2540, 14754, 519, 4417, 540, 11418, 543, 7384, 267, 721, 17518, 538, 519, 6176, 6520, 269, 5843, 577, 2354, 2968, 519, 11409, 540, 513, 2518, 2634, 267, 8220, 2043, 2066, 17407, 538, 519, 1025, 1074, 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 ]
[ 2645, 547, 1711, 1164, 7779, 3381, 3756, 602, 2196, 12347, 593, 782, 5686, 540, 3457, 780, 5331, 596, 616, 1603, 513, 1650, 609, 707, 2828, 269, 1677, 1118, 2386, 3025, 17358, 1018, 781, 8345, 267, 596, 1522, 1224, 1142, 824, 781, 960, 543, 2285, 5955, 269, 901, 2337, 596, 6952, 9073, 2038, 593, 1354, 789, 1831, 2462, 2042, 269, 634, 1482, 3364, 4523, 950, 2870, 513, 3381, 3014, 256, 5358, 11302, 2328, 3515, 543, 3515, 540, 5528, 630, 21406, 3009, 264, 865, 602, 519, 2780, 6487, 4010, 1018, 547, 798, 269, 1809, 3006, 267, 972, 1522, 581, 6959, 538, 713, 3009, 602, 1223, 2014, 519, 3014, 547, 16154, 610, 13789, 30122, 269, 2334, 781, 1141, 11979, 3009, 2079, 2645, 2097, 538, 13561, 780, 4322, 2645, 5659, 519, 3009, 1256, 1354, 621, 8255, 593, 513, 3926, 269, 1358, 1413, 693, 519, 3009, 5402, 899, 513, 4116, 10992, 6780, 267, 10478, 585, 1455, 9073, 543, 1761, 12961, 269, 1635, 4466, 891, 2152, 6619, 540, 942, 267, 9367, 4688, 2933, 3108, 540, 3181, 19982, 2663, 593, 269, 6056, 540, 621, 899, 2348, 513, 11963, 2638, 518, 585, 8193, 910, 3079, 540, 2542, 998, 1169, 1899, 16924, 267, 519, 1907, 1281, 519, 5230, 17666, 2439, 3086, 1577, 781, 1294, 1946, 11979, 3009, 2079, 2645, 616, 1271, 538, 1818, 1390, 3381, 3756, 269, 5994, 4730, 707, 5172, 23641, 610, 7193, 3014, 950, 10393, 621, 6238, 18848, 3101, 267, 1350, 26677, 856, 267, 610, 6148, 1175, 13515, 2324, 15587, 256, 3502, 1187, 267, 1318, 286, 10794, 3549, 1810, 1405, 1616, 741, 5716, 547, 723, 3983, 2833, 1813, 547, 1793, 641, 6853, 5752, 269, 1924, 267, 1354, 16089, 513, 1007, 3014, 267, 9367, 1449, 621, 8499, 1210, 1585, 2409, 269, 2290, 1259, 547, 2638, 952, 519, 3014, 786, 1599, 7157, 2066, 2789, 5867, 568, 17356, 4152, 780, 4467, 6312, 2225, 4152, 1797, 4180, 602, 519, 3014, 1568, 1134, 593, 1082, 2010, 540, 3457, 971, 607, 11080, 931, 3421, 267, 5904, 267, 14342, 267, 16389, 267, 543, 1256, 1114, 8747, 540, 5665, 1949, 269, 1280, 3236, 267, 4952, 3843, 547, 1404, 513, 3014, 2966, 1152, 585, 8837, 593, 513, 5839, 282, 8458, 616, 267, 930, 2934, 4465, 1405, 960, 5265, 269, 2107, 1589, 827, 6679, 513, 5985, 813, 3710, 585, 25515, 593, 606, 15692, 6049, 1107, 1586, 267, 1978, 2694, 949, 2736, 1524, 610, 4159, 27235, 269, 3281, 520, 2225, 4255, 2061, 1346, 14331, 2439, 5194, 2629, 851, 540, 3384, 513, 3811, 3014, 568, 6236, 922, 5497, 3755, 1472, 519, 8608, 269, 3763, 619, 991, 547, 2272, 585, 2686, 3604, 543, 1893, 7375, 269, 10871, 1436, 5849, 602, 32266, 10876, 2972, 519, 2407, 1995, 7488, 540, 4087, 269, 7956, 3334, 1369, 519, 3014, 267, 1519, 27487, 267, 12987, 267, 5188, 10833, 267, 3092, 1421, 1590, 10929, 11826, 8039, 547, 10018, 4977, 16627, 543, 3617, 2796, 269, 5047, 267, 9304, 12043, 267, 4266, 14908, 267, 6482, 4559, 267, 543, 811, 2154, 3007, 1932, 269, 2353, 891, 2188, 3565, 547, 513, 5347, 543, 15138, 11080, 7045, 585, 3214, 5001, 780, 8310, 855, 6157, 711, 2547, 267, 2773, 6927, 256, 31133, 619, 2503, 5714, 27515, 267, 2656, 15205, 2053, 267, 543, 8766, 554, 27364, 5725, 1282, 7920, 2962, 9696, 269, 4475, 267, 9367, 8415, 11979, 3009, 2079, 2645, 547, 4983, 2127, 7133, 3432, 543, 6617, 269, 1452, 3344, 7854, 17306, 17765, 6165, 267, 10893, 3965, 4616, 267, 4227, 3060, 4234, 4293, 267, 2110, 2287, 3210, 2053, 267, 543, 5883, 21800, 3593, 4296, 3927, 269, 2991, 782, 267, 1100, 835, 15055, 3500, 610, 18633, 3756, 780, 1103, 3932, 267, 11979, 3009, 2079, 2645, 4196, 607, 1898, 20843, 2429, 519, 3003, 3014, 5137, 1184, 269, 3245, 20414, 26240, 5652, 12961, 547, 7175, 15774, 3444, 13807, 520, 845, 9035, 267, 789, 7668, 9367, 547, 4739, 12300, 11080, 2833, 585, 6634, 540, 1453, 11451, 269, 3807, 3314, 267, 1985, 942, 596, 4685, 883, 513, 9159, 3059, 7122, 267, 917, 602, 3297, 519, 10207, 267, 12483, 1652, 2645, 5249, 2182, 7258, 13730, 15888, 547, 3142, 621, 547, 1272, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4415, 936, 476, 736, 1296, 540, 1995, 267, 649, 4019, 2500, 4152, 3435, 547, 1683, 24974, 2298, 540, 519, 1739, 3301, 912, 2171, 2327, 2953, 5106, 540, 3756, 585, 931, 3421, 267, 2123, 5904, 267, 5985, 3457, 267, 610, 1357, 26292, 267, 8051, 585, 1114, 8800, 543, 3301, 19383, 269, 1284, 849, 1832, 5934, 543, 5227, 3014, 4170, 585, 13013, 267, 17765, 267, 20433, 267, 543, 29453, 1247, 8939, 3457, 585, 17356, 4152, 563, 2171, 948, 3756, 9029, 547, 513, 2518, 5304, 676, 17265, 22297, 20072, 267, 5639, 268, 13569, 267, 5705, 527, 956, 267, 543, 824, 1257, 2609, 585, 1022, 2152, 269, 1284, 849, 13182, 2199, 16082, 267, 971, 607, 6698, 267, 19728, 267, 4266, 543, 942, 11249, 563, 2171, 11886, 1312, 7746, 268, 543, 7817, 20933, 2773, 4152, 543, 1445, 593, 14573, 971, 607, 17765, 543, 3965, 13345, 267, 26125, 267, 3210, 942, 267, 543, 21276, 3593, 7886, 269, 1284, 948, 547, 9004, 3014, 1863, 8240, 543, 2327, 519, 3014, 568, 3728, 267, 7123, 267, 543, 666, 6023, 6727, 4452, 4679, 563, 2171, 4019, 8673, 267, 30405, 267, 10343, 267, 543, 824, 6198, 4152, 1462, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 12229, 4886, 1299, 7177, 1315, 13088, 1315, 853, 1738, 8943, 5811, 13088, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 5678, 14409, 538, 11671, 16467, 11365, 15136, 692, 7072, 692, 10468, 340, 1503, 3907, 2524, 267, 513, 1016, 7615, 540, 5042, 2257, 602, 27180, 519, 8849, 4493, 540, 1893, 267, 814, 1500, 1713, 26058, 538, 938, 1620, 540, 875, 6093, 12058, 1184, 1893, 269, 1717, 267, 950, 621, 2501, 547, 5778, 16467, 11365, 4713, 971, 607, 27577, 267, 1808, 1893, 15717, 630, 20784, 296, 1070, 543, 10295, 8552, 4524, 630, 32359, 1070, 938, 1702, 568, 1869, 9750, 269, 901, 3184, 12538, 883, 519, 10848, 540, 1893, 4393, 538, 891, 5095, 267, 10223, 1312, 519, 2591, 789, 3068, 543, 519, 6043, 789, 6542, 780, 4089, 476, 272, 281, 21619, 21685, 910, 7335, 9737, 519, 20514, 692, 291, 903, 21685, 568, 513, 5778, 16467, 11365, 4524, 6353, 676, 7965, 609, 4977, 543, 31402, 2262, 6284, 543, 10259, 269, 898, 781, 6059, 602, 476, 276, 268, 1704, 260, 540, 519, 2551, 814, 27577, 267, 1818, 621, 835, 540, 519, 1034, 1455, 1565, 9124, 269, 6736, 922, 9860, 267, 519, 3169, 2014, 3788, 21792, 282, 2705, 267, 2963, 5267, 602, 621, 3322, 13093, 1670, 4393, 22907, 267, 3226, 538, 519, 2451, 9389, 641, 926, 13926, 3148, 540, 519, 2634, 780, 3412, 1645, 2090, 723, 3254, 602, 1282, 2542, 4247, 267, 2043, 609, 27577, 1397, 4389, 11852, 538, 713, 2565, 1858, 3379, 547, 741, 3335, 3384, 9905, 269, 5015, 267, 32598, 998, 7459, 899, 18551, 6044, 666, 1291, 547, 2242, 538, 2634, 2534, 3270, 267, 10834, 29010, 538, 3210, 547, 2126, 780, 4089, 476, 273, 281, 16930, 5678, 6764, 1515, 618, 910, 634, 8125, 550, 26647, 24327, 692, 11854, 6900, 1893, 15717, 630, 20784, 296, 264, 4016, 547, 10770, 2042, 609, 1893, 1646, 5103, 3339, 26068, 4987, 543, 6217, 1035, 8462, 269, 5753, 609, 20793, 296, 6560, 609, 8239, 3652, 267, 4845, 4070, 267, 543, 6863, 2208, 269, 3194, 6920, 602, 20793, 296, 949, 581, 5532, 547, 22114, 538, 7935, 8619, 781, 1858, 543, 654, 1716, 545, 651, 781, 1858, 1765, 2958, 687, 2404, 609, 4633, 2504, 543, 8223, 6606, 780, 4913, 267, 7429, 27577, 267, 972, 616, 1100, 24080, 2500, 5574, 585, 20793, 296, 1813, 547, 922, 26945, 2470, 269, 2368, 1453, 4431, 1134, 547, 6098, 1893, 6304, 1247, 1866, 798, 711, 269, 5047, 267, 930, 2665, 8207, 31380, 607, 519, 1126, 1319, 999, 267, 11021, 2789, 10092, 547, 6571, 780, 4089, 476, 274, 281, 20150, 25400, 13081, 910, 15332, 9293, 692, 8505, 1143, 8552, 4524, 630, 32359, 264, 6799, 2189, 2591, 538, 1893, 4393, 269, 2755, 1082, 1004, 609, 20284, 10536, 9275, 1893, 1983, 267, 789, 1419, 8858, 15116, 885, 538, 31544, 946, 1107, 519, 1514, 2460, 540, 2792, 269, 1280, 1383, 267, 789, 1522, 1491, 1919, 12777, 267, 14443, 4749, 267, 610, 3111, 547, 1174, 9644, 780, 13146, 6436, 15974, 602, 20284, 2164, 689, 693, 2988, 673, 14479, 1063, 1114, 4525, 540, 519, 2634, 3238, 538, 1893, 543, 1514, 17133, 269, 1452, 6436, 5447, 609, 4681, 6029, 9402, 3043, 2339, 8778, 338, 8220, 28882, 543, 13796, 10981, 525, 538, 2043, 609, 20284, 780, 6962, 692, 8139, 1893, 4393, 538, 5778, 16467, 11365, 4713, 3091, 3407, 4030, 883, 519, 6946, 2078, 1063, 2634, 2497, 267, 1599, 267, 543, 2623, 269, 1635, 3695, 891, 2175, 267, 649, 15052, 938, 7071, 585, 519, 6988, 540, 1893, 543, 519, 7415, 13916, 540, 519, 1480, 2634, 269, 8892, 1382, 1058, 3136, 547, 19586, 891, 13655, 267, 22338, 519, 1259, 585, 811, 3358, 7459, 543, 7028, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10112, 9665, 7905, 540, 15465, 3163, 540, 5678, 454, 268, 12769, 1211, 531, 5441, 454, 268, 19715, 3877, 454, 268, 11968, 13353, 267, 11404, 454, 268, 19024, 1826, 454, 268, 7905, 267, 19608, 454, 268, 9257, 1826, 454, 268, 476, 275, 4458, 2852, 610, 6280, 454, 268, 2296, 267, 1977, 6178, 5678, 454, 268, 25477, 7121, 454, 763, 4972, 540, 15465, 3163, 693, 12769, 1211, 531, 5441, 20217, 3156, 585, 606, 19608, 7905, 540, 15465, 3163, 540, 5678, 609, 13393, 547, 2253, 4864, 476, 1708, 275, 563, 30999, 1211, 531, 5441, 779, 15465, 3163, 4972, 20217, 3156, 585, 513, 26022, 13652, 1188, 13393, 693, 519, 7584, 540, 19608, 7905, 538, 15465, 3163, 269, 1284, 3343, 2576, 4171, 1382, 1858, 568, 1369, 519, 15465, 3163, 540, 5678, 269, 15783, 1382, 2127, 1331, 630, 8117, 616, 711, 3908, 547, 264, 23316, 267, 19636, 1143, 267, 683, 340, 1503, 3907, 2524, 267, 1893, 11601, 267, 23316, 540, 6789, 299, 630, 13563, 6178, 5678, 1070, 12985, 23316, 267, 10409, 19795, 267, 2528, 543, 1893, 267, 543, 5924, 1893, 543, 2219, 563, 30999, 1211, 531, 12200, 616, 8149, 4116, 1606, 3273, 1513, 627, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23458, 14409, 538, 11671, 16467, 11365, 15136, 257, 607, 851, 540, 834, 299, 20315, 308, 17803, 8121, 4811, 1299, 20591, 5746, 12195, 2562, 2464, 1315, 23008, 2524, 1315, 5369, 565, 3907, 2524, 1315, 3026, 340, 1503, 3907, 2524, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27354, 602, 568, 4092, 538, 519, 8832, 25955, 540, 519, 1158, 269, 898, 10580, 519, 3345, 24504, 543, 10301, 1524, 547, 519, 28580, 27004, 269, 634, 512, 1495, 571, 814, 513, 1360, 4411, 543, 10792, 2916, 267, 2523, 538, 519, 24475, 269, 634, 3328, 5162, 5210, 568, 827, 910, 1789, 293, 543, 3328, 4832, 5210, 568, 10199, 476, 4391, 268, 7918, 293, 269, 634, 21496, 2179, 540, 13247, 267, 799, 2882, 13621, 6777, 267, 25939, 547, 827, 476, 277, 547, 476, 1015, 563, 24552, 476, 7277, 274, 9664, 476, 279, 634, 11848, 543, 1016, 541, 8157, 4525, 22702, 609, 824, 1979, 2345, 267, 519, 512, 1495, 571, 27354, 568, 5266, 1762, 267, 2348, 922, 5169, 538, 519, 20167, 626, 18152, 630, 272, 267, 7785, 267, 1822, 547, 476, 1015, 267, 1822, 1296, 3516, 1916, 763, 512, 1495, 571, 27354, 568, 513, 4411, 543, 1726, 6804, 10750, 1141, 10792, 2175, 1118, 621, 2182, 585, 2371, 543, 2831, 7567, 547, 7639, 269, 15907, 476, 736, 260, 540, 519, 3047, 781, 2244, 2627, 568, 4988, 609, 512, 1495, 571, 269, 18567, 540, 519, 570, 1495, 571, 4437, 727, 269, 898, 781, 4411, 910, 634, 512, 1495, 571, 568, 519, 4411, 652, 540, 519, 1979, 2345, 269, 634, 3328, 2837, 538, 519, 512, 1495, 571, 568, 1472, 910, 1240, 5232, 674, 269, 898, 4991, 1454, 21617, 538, 519, 5162, 543, 15911, 1282, 922, 563, 10292, 26041, 11536, 6347, 312, 281, 570, 26685, 6938, 269, 589, 27354, 568, 513, 1804, 1858, 593, 519, 3047, 781, 2627, 602, 568, 3989, 676, 519, 2010, 540, 2831, 543, 2371, 2713, 972, 269, 1703, 616, 513, 2603, 540, 1979, 2345, 538, 519, 1158, 267, 835, 540, 873, 568, 519, 570, 1495, 571, 269, 9894, 596, 917, 602, 570, 1495, 571, 568, 519, 4411, 652, 540, 782, 540, 519, 1979, 2345, 286, 898, 568, 849, 519, 21836, 27354, 267, 799, 4646, 476, 1015, 267, 1822, 1296, 3516, 269, 570, 1495, 571, 3893, 922, 2012, 689, 519, 25227, 2262, 968, 339, 2863, 22202, 892, 799, 1797, 563, 763, 512, 1495, 571, 568, 513, 27354, 602, 568, 4092, 538, 519, 8832, 25955, 540, 519, 7122, 269, 898, 10580, 519, 3345, 24504, 543, 10301, 1524, 547, 519, 28580, 27004, 269, 634, 512, 1495, 571, 814, 513, 2731, 4411, 543, 11315, 804, 830, 267, 3226, 538, 519, 24475, 269, 634, 1611, 5162, 5210, 568, 827, 910, 1789, 286, 674, 543, 1611, 4832, 5210, 568, 5111, 476, 4391, 268, 7918, 286, 674, 269, 634, 5993, 2040, 540, 13247, 267, 799, 2882, 555, 1177, 6777, 267, 8155, 547, 5111, 563, 307, 1495, 571, 27354, 568, 4092, 538, 519, 13994, 5858, 267, 799, 568, 513, 5858, 602, 27788, 519, 5087, 15393, 267, 855, 713, 568, 711, 519, 1152, 1747, 649, 666, 1265, 16171, 4411, 5210, 543, 513, 1906, 2831, 269, 769, 19778, 267, 543, 824, 4411, 5054, 267, 972, 616, 2127, 602, 666, 581, 4330, 607, 851, 540, 513, 512, 1495, 571, 27354, 607, 1134, 269, 25723, 26059, 2207, 281, 634, 512, 1495, 571, 568, 519, 4411, 652, 543, 519, 1743, 5006, 540, 782, 519, 1979, 2345, 593, 3047, 269, 1703, 568, 1360, 11065, 328, 2345, 589, 27354, 568, 513, 1804, 10923, 1858, 540, 10058, 2030, 543, 3662, 2516, 267, 799, 616, 9862, 547, 602, 1880, 1604, 269, 634, 2916, 543, 11585, 540, 513, 3148, 11887, 1018, 1826, 540, 27354, 666, 2291, 538, 602, 3148, 269, 11683, 1979, 2345, 1331, 24301, 267, 7733, 267, 26377, 267, 512, 1495, 571, 267, 543, 1896, 2010, 540, 12748, 1604, 269, 1306, 666, 1294, 593, 519, 27177, 4786, 267, 634, 717, 9567, 14315, 814, 1079, 4437, 2345, 18737, 476, 272, 7868, 570, 1495, 571, 568, 513, 5318, 267, 1726, 6804, 10750, 267, 2356, 8795, 538, 4365, 269, 898, 568, 9286, 607, 519, 3047, 781, 4411, 652, 543, 554, 1513, 4554, 27354, 267, 1141, 519, 2916, 568, 4411, 267, 3819, 543, 2842, 344, 543, 519, 11811, 568, 1085, 656, 269, 9741, 2371, 1332, 538, 713, 2916, 267, 543, 2831, 723, 2919, 14624, 547, 7639, 269, 901, 27354, 568, 3622, 4092, 538, 21303, 4525, 971, 607, 14522, 267, 4516, 543, 27584, 4997, 269, 898, 568, 1634, 585, 621, 781, 269, 0, 14818, 7726, 10778, 297, 20623, 1131, 899, 547, 546, 1442, 1010, 14361, 609, 1776, 6928, 269, 3571, 1966, 5654, 1360, 2147, 547, 519, 454, 821, 1657, 267, 1141, 519, 3804, 1131, 581, 547, 5447, 519, 546, 12177, 804, 10102, 540, 1010, 6928, 609, 519, 3110, 3544, 563, 763, 1966, 2705, 568, 602, 519, 9635, 616, 20244, 513, 2370, 18633, 269, 769, 2230, 267, 1100, 11508, 6818, 454, 1729, 3500, 596, 1524, 269, 2060, 602, 538, 2247, 267, 519, 4483, 1599, 585, 5163, 585, 513, 5624, 1222, 3842, 681, 5425, 454, 628, 6412, 619, 666, 581, 6719, 607, 476, 273, 1535, 586, 1949, 609, 519, 4483, 1599, 1106, 912, 7617, 814, 606, 7915, 16132, 269, 570, 2317, 476, 272, 540, 891, 1949, 609, 513, 2407, 623, 2839, 563, 8201, 476, 272, 2433, 3625, 6516, 1510, 623, 2839, 17120, 585, 1770, 1900, 3403, 454, 8201, 476, 273, 281, 5153, 3210, 1510, 623, 2839, 17120, 454, 320, 1547, 8058, 519, 3625, 6516, 540, 707, 1062, 630, 276, 2798, 994, 321, 269, 570, 2317, 519, 623, 2839, 585, 713, 1184, 543, 1683, 519, 1900, 3210, 543, 12374, 269, 630, 1015, 2798, 1916, 8201, 476, 274, 281, 5153, 3210, 585, 623, 2839, 17120, 454, 8201, 476, 275, 281, 1852, 6724, 454, 322, 269, 5590, 519, 1900, 3403, 547, 476, 2412, 630, 514, 713, 2013, 713, 1131, 581, 7397, 264, 543, 1683, 519, 3113, 630, 276, 2798, 1916, 8201, 476, 276, 281, 1900, 3210, 609, 476, 2412, 1900, 3403, 0, 293, 867, 1143, 568, 513, 1106, 540, 4853, 2504, 2919, 689, 13177, 626, 2409, 282, 519, 1292, 2832, 568, 1587, 12366, 5314, 998, 9395, 1852, 936, 5322, 543, 19459, 4058, 689, 22589, 4247, 269, 8361, 16110, 630, 293, 867, 1143, 779, 32388, 528, 264, 2968, 4583, 585, 1312, 1010, 7844, 570, 1286, 8798, 543, 1010, 12316, 1062, 540, 2527, 2504, 563, 293, 867, 1143, 4828, 476, 21857, 279, 9293, 1556, 9664, 13201, 513, 1007, 1062, 540, 2504, 543, 4616, 8719, 16110, 1143, 286, 715, 3139, 1310, 1977, 4853, 626, 8361, 16110, 267, 16110, 1143, 568, 9247, 513, 2413, 8739, 20300, 1062, 2966, 593, 519, 13279, 540, 4853, 2527, 2504, 538, 519, 476, 736, 628, 2540, 563, 763, 5169, 540, 519, 2165, 9232, 16110, 1143, 892, 6013, 538, 519, 1505, 540, 2504, 540, 519, 16110, 5179, 8364, 269, 16110, 1143, 729, 1759, 593, 3044, 2527, 2504, 2553, 269, 898, 3238, 519, 946, 540, 3001, 10198, 1899, 543, 4600, 5340, 16625, 4247, 799, 2838, 2370, 2866, 610, 5578, 269, 634, 2694, 1031, 941, 2966, 865, 602, 789, 1223, 581, 19632, 3362, 12171, 867, 1143, 968, 529, 519, 3498, 540, 8361, 585, 323, 779, 5132, 538, 2527, 2504, 2196, 676, 1313, 7095, 2359, 269, 901, 10522, 1164, 6498, 540, 11668, 543, 2370, 9036, 9111, 267, 855, 609, 519, 931, 15684, 540, 1164, 13848, 6100, 293, 867, 1143, 568, 606, 2856, 540, 2527, 2504, 6913, 676, 811, 3608, 2504, 2409, 543, 2539, 1942, 540, 2504, 269, 898, 729, 1101, 5189, 676, 8361, 16110, 267, 519, 13653, 540, 16110, 16359, 7577, 563, 5649, 4828, 2201, 16110, 1143, 1656, 5403, 6363, 867, 1143, 543, 824, 11108, 4574, 593, 1169, 1641, 543, 1888, 2852, 666, 12235, 693, 596, 269, 1284, 666, 2688, 2914, 1679, 4376, 607, 1134, 256, 5649, 2859, 454, 293, 867, 1143, 543, 5403, 6363, 867, 1143, 4828, 12726, 898, 814, 1044, 11130, 602, 519, 1259, 538, 799, 960, 568, 11295, 543, 22555, 814, 4957, 936, 519, 2063, 1896, 5756, 269, 9747, 267, 519, 1826, 540, 11668, 1184, 543, 7154, 540, 2804, 2208, 9867, 538, 13076, 609, 713, 4661, 19403, 2859, 454, 1607, 1557, 786, 1101, 2832, 547, 4766, 519, 1883, 3344, 540, 16110, 1143, 267, 875, 891, 3344, 28955, 2933, 13998, 543, 22883, 6053, 689, 519, 2038, 476, 736, 555, 2540, 998, 547, 519, 2022, 21351, 1296, 267, 543, 519, 1259, 538, 799, 519, 6433, 540, 16110, 1143, 267, 602, 3366, 547, 5458, 10593, 538, 519, 2518, 4346, 267, 666, 581, 5532, 547, 519, 11144, 540, 5051, 683, 565, 28515, 2804, 543, 2797, 1949, 19403, 2859, 454, 293, 867, 1143, 729, 1776, 1153, 3957, 1310, 8361, 16110, 1310, 7836, 1454, 1821, 2358, 2081, 5355, 7607, 540, 18914, 3549, 267, 18034, 16110, 16359, 7577, 269, 1717, 267, 519, 2165, 729, 2442, 2213, 676, 519, 621, 6501, 21293, 717, 2449, 857, 538, 476, 4350, 271, 338, 269, 16110, 4294, 1034, 540, 13177, 779, 2093, 855, 13671, 593, 3044, 2213, 2527, 2504, 543, 2527, 4616, 19403, 2859, 454, 27287, 16214, 540, 13177, 1143, 543, 16110, 1143, 4828, 476, 13670, 272, 9293, 277, 9664, 13177, 1143, 568, 849, 1634, 607, 3621, 2359, 799, 3957, 1310, 19291, 654, 269, 13177, 269, 898, 568, 513, 2504, 4398, 12191, 602, 9397, 1568, 883, 1507, 543, 2241, 12415, 799, 666, 581, 3362, 21845, 543, 6026, 19403, 2859, 454, 13625, 827, 16110, 1143, 630, 306, 1539, 1108, 264, 16110, 1143, 568, 513, 1062, 602, 21256, 1282, 519, 2063, 5756, 540, 519, 476, 866, 628, 11416, 998, 547, 519, 2034, 8717, 540, 519, 476, 736, 628, 11416, 269, 16110, 1143, 729, 1101, 6444, 676, 519, 7969, 19797, 21293, 717, 2449, 857, 630, 6245, 272, 268, 4350, 278, 1040, 1261, 729, 519, 5856, 540, 1412, 13563, 1143, 543, 16110, 1143, 29717, 5649, 2859, 454, 1607, 16110, 1143, 543, 5403, 6363, 867, 1143, 4828, 1383, 568, 3370, 585, 3872, 543, 21141, 5301, 1152, 269, 1403, 596, 991, 513, 2688, 1557, 610, 1382, 1957, 593, 713, 1888, 267, 5225, 946, 938, 1603, 2533, 9950, 1087, 599, 29248, 790, 2593, 3091, 6325, 2688, 1557, 1603, 2533, 602, 666, 948, 596, 547, 4309, 1164, 9344, 543, 23666, 707, 20485, 609, 519, 2298, 540, 1142, 1557, 610, 1382, 1957, 596, 1688, 538, 19403, 2859, 454, 1607, 1557, 786, 1101, 569, 7291, 519, 1614, 2101, 4162, 540, 16110, 1143, 282, 519, 3044, 5314, 540, 5370, 3812, 267, 519, 15222, 5314, 540, 10198, 1899, 4600, 267, 543, 519, 1523, 540, 875, 2362, 530, 3042, 4600, 616, 2111, 547, 6488, 519, 5370, 789, 3132, 269, 5047, 267, 519, 476, 2641, 560, 2540, 3270, 540, 2504, 267, 4616, 543, 7939, 723, 3982, 1947, 12012, 519, 4295, 540, 16110, 1143, 267, 3226, 2094, 519, 19403, 2859, 454, 293, 867, 1143, 568, 513, 1062, 602, 21256, 1282, 519, 2063, 5756, 540, 519, 476, 866, 628, 11416, 998, 547, 519, 2034, 8717, 540, 519, 476, 736, 628, 11416, 269, 16110, 1143, 729, 1101, 6444, 676, 519, 7969, 19797, 21293, 717, 2449, 857, 630, 6245, 272, 268, 4350, 278, 1040, 1261, 729, 519, 5856, 540, 1412, 13563, 1143, 543, 16110, 1143, 8339, 5649, 2859, 454, 293, 867, 1143, 543, 31780, 1436, 616, 1271, 5322, 547, 519, 9036, 1604, 267, 607, 621, 814, 3254, 519, 1852, 540, 2486, 269, 1677, 1174, 519, 2956, 540, 16110, 1143, 543, 31780, 1436, 621, 568, 540, 4105, 2956, 602, 594, 20272, 519, 1686, 543, 8129, 540, 891, 5322, 267, 4098, 609, 7665, 32544, 779, 3069, 540, 7787, 1436, 19403, 2859, 0, 1103, 1840, 547, 1373, 1031, 547, 20758, 1055, 13311, 14538, 267, 552, 3273, 338, 849, 1683, 513, 3730, 4735, 831, 585, 1004, 945, 616, 7683, 593, 519, 1413, 719, 585, 1007, 543, 1114, 5686, 540, 7786, 563, 4407, 10956, 619, 616, 3622, 1031, 547, 15658, 23224, 267, 519, 2165, 968, 516, 701, 908, 1297, 892, 4016, 547, 513, 1808, 1297, 540, 10956, 619, 538, 513, 1895, 563, 2690, 1383, 267, 513, 1895, 540, 4735, 831, 25668, 5792, 1004, 1131, 581, 2838, 547, 1832, 741, 10956, 619, 9280, 609, 10956, 619, 689, 1169, 4735, 831, 538, 741, 1895, 563, 2414, 2061, 606, 12176, 540, 552, 3273, 545, 619, 267, 10956, 619, 1058, 581, 9280, 609, 513, 1062, 602, 11179, 21697, 543, 20743, 519, 1297, 540, 552, 4221, 619, 538, 519, 1895, 563, 1607, 1062, 1058, 581, 2111, 547, 11179, 9337, 519, 10956, 619, 685, 4735, 831, 2338, 547, 2061, 552, 3273, 534, 619, 689, 8108, 538, 519, 4735, 831, 1895, 563, 763, 10956, 619, 849, 1058, 723, 513, 1062, 585, 11488, 711, 5874, 950, 606, 552, 3273, 622, 568, 9571, 563, 2252, 519, 1065, 2678, 1895, 814, 513, 4735, 831, 609, 513, 10956, 619, 540, 1114, 10956, 619, 610, 952, 519, 4735, 5474, 685, 2338, 616, 4957, 267, 552, 4221, 518, 17061, 666, 2049, 563, 2026, 552, 3273, 334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18550, 476, 1240, 267, 476, 1001, 277, 454, 1103, 634, 5700, 281, 1548, 1772, 634, 595, 3041, 454, 763, 595, 3041, 267, 610, 8225, 3955, 684, 1751, 22505, 267, 568, 4516, 779, 3084, 12044, 1560, 585, 6280, 5026, 269, 634, 595, 3041, 568, 1500, 909, 540, 513, 1804, 6712, 540, 519, 4110, 26587, 9945, 4092, 538, 4516, 2698, 532, 476, 4649, 4081, 5238, 269, 3683, 476, 1556, 267, 1822, 1053, 543, 476, 10384, 19393, 616, 3238, 538, 595, 3041, 5026, 1142, 1032, 12721, 585, 476, 2641, 3084, 23594, 4721, 538, 476, 1321, 1114, 5026, 269, 898, 568, 4502, 15663, 602, 8225, 12621, 723, 741, 1378, 12044, 1560, 282, 519, 595, 7563, 288, 610, 8225, 30793, 2471, 26465, 545, 5948, 563, 763, 595, 3041, 568, 7768, 540, 2185, 6237, 12205, 267, 610, 19014, 281, 634, 595, 310, 308, 8150, 610, 4516, 4639, 29550, 26465, 545, 5948, 267, 519, 744, 4785, 610, 14411, 2160, 26465, 923, 267, 519, 681, 10345, 304, 610, 1763, 324, 879, 13660, 22505, 18264, 644, 5050, 13660, 20563, 543, 519, 589, 4785, 610, 9533, 2160, 22505, 269, 1280, 513, 1592, 540, 782, 476, 4649, 10283, 9945, 543, 741, 7222, 12205, 4945, 28313, 563, 1103, 1931, 547, 581, 14718, 547, 1404, 538, 519, 595, 3041, 513, 9906, 5025, 628, 8541, 10024, 2047, 883, 2160, 689, 1164, 1153, 610, 9460, 294, 7968, 1590, 1459, 513, 5934, 476, 2568, 260, 3328, 630, 528, 6697, 264, 593, 782, 6030, 1031, 547, 3313, 16075, 269, 769, 1931, 547, 2226, 25046, 547, 1404, 593, 513, 595, 3041, 2319, 9906, 5025, 628, 2280, 525, 1590, 581, 19801, 538, 2407, 6066, 2090, 630, 2381, 3065, 540, 476, 280, 17099, 264, 538, 519, 2165, 538, 799, 789, 616, 12721, 543, 6707, 2347, 513, 5934, 476, 1240, 17099, 1282, 519, 4081, 1032, 269, 9906, 5025, 628, 2280, 525, 949, 581, 14718, 547, 14526, 538, 513, 5021, 540, 476, 276, 1296, 540, 8225, 3955, 684, 1751, 22505, 269, 898, 568, 4502, 15663, 602, 2899, 513, 9906, 5025, 628, 2280, 525, 25046, 814, 1044, 1031, 538, 1776, 16278, 789, 616, 1100, 1279, 14718, 547, 7119, 538, 595, 3041, 5026, 269, 5015, 267, 1058, 513, 9906, 5025, 628, 8541, 946, 2185, 5094, 1296, 540, 25046, 538, 513, 1875, 4211, 534, 6598, 16278, 789, 786, 1100, 3476, 581, 14718, 547, 7119, 538, 595, 3041, 6735, 563, 6624, 595, 3041, 6887, 949, 2709, 18942, 25689, 267, 610, 18942, 2883, 12587, 267, 585, 12721, 9906, 5025, 628, 2280, 525, 269, 1452, 25689, 949, 1331, 267, 855, 616, 711, 3908, 547, 267, 25689, 267, 536, 2720, 2456, 267, 8027, 267, 26065, 267, 1585, 17758, 610, 824, 1875, 15041, 7877, 2883, 2640, 269, 3509, 540, 891, 616, 19585, 593, 4081, 1967, 607, 1134, 607, 18942, 2773, 543, 621, 568, 1271, 547, 1747, 513, 2178, 8561, 593, 4081, 2773, 607, 1134, 607, 18942, 2773, 269, 29247, 15663, 568, 602, 519, 5021, 2256, 22133, 2179, 949, 711, 20546, 519, 24875, 543, 25471, 12375, 538, 1022, 2016, 4081, 1032, 269, 15316, 5238, 2936, 741, 1378, 6042, 3823, 519, 25046, 4170, 585, 25689, 543, 17758, 543, 621, 568, 2009, 602, 513, 9906, 5025, 628, 8541, 949, 581, 14718, 547, 14526, 267, 855, 711, 547, 4309, 2883, 12587, 563, 19284, 930, 824, 6280, 270, 3712, 5076, 18942, 12205, 972, 616, 1906, 9993, 5116, 593, 9906, 5025, 628, 2280, 525, 950, 621, 2501, 547, 950, 543, 945, 789, 949, 3346, 269, 28791, 513, 9906, 5025, 628, 8541, 814, 2907, 9896, 513, 4484, 540, 8247, 267, 610, 568, 2907, 513, 595, 3041, 9906, 5025, 628, 8541, 267, 972, 616, 1100, 9993, 593, 945, 789, 949, 3346, 269, 13518, 519, 1482, 267, 8259, 513, 9906, 5025, 628, 8541, 814, 2907, 9896, 513, 4484, 540, 8247, 267, 610, 568, 2907, 513, 595, 3041, 9906, 5025, 628, 8541, 267, 972, 616, 1100, 9993, 593, 945, 949, 3346, 873, 269, 1403, 513, 14594, 540, 2271, 550, 814, 2907, 1044, 9896, 519, 9906, 5025, 628, 8541, 568, 19275, 689, 27510, 610, 14775, 547, 3346, 609, 824, 5238, 585, 519, 3483, 540, 12721, 585, 873, 269, 5015, 267, 16461, 1746, 3109, 8083, 616, 3908, 547, 11176, 543, 616, 538, 1747, 689, 5412, 476, 2537, 6113, 547, 5130, 476, 273, 526, 538, 13254, 267, 607, 1134, 607, 1369, 476, 276, 2395, 1991, 547, 519, 1376, 540, 519, 595, 3041, 5101, 4639, 2353, 10060, 3014, 543, 476, 272, 1554, 1739, 922, 12032, 563, 2690, 811, 1344, 593, 25046, 267, 4483, 1053, 267, 25689, 610, 546, 14563, 4507, 5225, 4945, 28313, 1141, 519, 595, 3041, 779, 3896, 666, 581, 1336, 538, 1312, 2296, 543, 3943, 11053, 4711, 281, 8225, 11846, 267, 595, 3041, 267, 1085, 719, 8541, 267, 9906, 5025, 628, 8541, 0, 12988, 547, 519, 9669, 8525, 454, 12988, 547, 519, 5851, 8525, 454, 20365, 1345, 1996, 22342, 2264, 20330, 1432, 568, 1975, 344, 2264, 888, 306, 6853, 2264, 568, 513, 454, 16766, 4067, 540, 782, 2186, 540, 1507, 3292, 602, 666, 581, 454, 684, 2254, 5367, 2390, 519, 2780, 1247, 707, 17774, 532, 593, 519, 4950, 563, 4322, 3292, 666, 11578, 782, 5686, 540, 1239, 454, 5228, 519, 3593, 543, 521, 2105, 547, 519, 454, 10574, 899, 1018, 454, 933, 2125, 2572, 519, 3593, 11564, 267, 1018, 3292, 616, 8704, 267, 1454, 1419, 789, 616, 1031, 2676, 6011, 1082, 3108, 596, 6108, 593, 519, 4950, 267, 875, 1454, 13875, 596, 4309, 563, 4322, 1239, 616, 454, 338, 754, 1394, 547, 519, 17082, 540, 519, 3301, 945, 666, 6133, 891, 2123, 1239, 547, 1022, 454, 15161, 602, 1397, 968, 15517, 892, 585, 873, 563, 1692, 666, 594, 1205, 1975, 344, 2264, 888, 30541, 2358, 3549, 3888, 12897, 593, 707, 2780, 950, 835, 540, 1346, 454, 30541, 1047, 536, 22395, 616, 16041, 883, 707, 11422, 563, 339, 749, 519, 15888, 1018, 4609, 602, 596, 3643, 543, 1018, 707, 3257, 972, 269, 13648, 625, 616, 454, 20791, 1239, 6119, 602, 616, 1031, 547, 4558, 1344, 1063, 476, 273, 3896, 11564, 563, 5472, 12897, 616, 711, 602, 5739, 476, 2336, 933, 2125, 2572, 892, 630, 3697, 2144, 582, 3821, 7270, 267, 11523, 1606, 2572, 267, 16292, 345, 1606, 2572, 264, 689, 519, 4950, 454, 4754, 3142, 5563, 2390, 707, 2780, 269, 1452, 4609, 616, 519, 2707, 540, 519, 454, 23251, 9084, 540, 18453, 563, 2889, 31810, 602, 519, 4950, 3091, 267, 666, 2270, 22342, 2264, 269, 634, 3292, 616, 1863, 454, 20357, 789, 2445, 1239, 689, 519, 2780, 3593, 543, 1010, 17017, 17774, 7180, 454, 1692, 666, 594, 2149, 8885, 888, 2791, 666, 1405, 3247, 22342, 2264, 609, 1022, 4550, 3644, 1982, 610, 513, 31216, 267, 585, 22342, 2264, 270, 7356, 2264, 596, 991, 454, 320, 1808, 1982, 563, 288, 1360, 2442, 454, 32491, 568, 1520, 5025, 2264, 269, 1411, 666, 4647, 713, 1982, 538, 713, 4087, 10778, 2691, 596, 723, 454, 323, 5877, 539, 713, 1982, 543, 8704, 621, 267, 596, 1101, 723, 547, 4647, 1007, 454, 1575, 30098, 689, 519, 4950, 269, 5213, 1406, 5855, 267, 1520, 5025, 2264, 786, 2307, 596, 8850, 952, 454, 9767, 1616, 547, 4647, 1007, 10311, 267, 891, 786, 581, 8850, 454, 323, 5877, 539, 270, 13318, 6817, 267, 1310, 602, 596, 666, 1376, 513, 1412, 17359, 2480, 534, 262, 593, 707, 2780, 563, 572, 2117, 1127, 585, 2009, 22342, 2264, 2390, 707, 2780, 543, 786, 7866, 873, 593, 519, 1439, 540, 454, 1492, 11571, 538, 513, 1592, 563, 2791, 666, 2824, 454, 1492, 22342, 2264, 602, 596, 1616, 547, 4894, 543, 849, 4309, 811, 1344, 827, 513, 454, 322, 1643, 22342, 2264, 899, 4087, 267, 4110, 540, 8594, 267, 1826, 540, 22342, 2264, 269, 0, 2304, 928, 5638, 1200, 2123, 3527, 543, 4606, 538, 3636, 267, 2241, 17187, 1893, 269, 4173, 2592, 616, 12667, 282, 1200, 1603, 568, 25442, 269, 2701, 9607, 14173, 1399, 267, 519, 19701, 267, 607, 513, 1480, 1373, 607, 1352, 796, 1723, 951, 1200, 3020, 1582, 269, 14732, 6257, 3197, 685, 3232, 8062, 543, 5513, 2827, 538, 971, 1469, 602, 519, 5467, 4991, 547, 917, 782, 540, 873, 703, 2954, 269, 1452, 3877, 267, 5916, 609, 14732, 779, 19448, 26327, 2511, 267, 1118, 782, 519, 811, 10853, 513, 1650, 602, 814, 9676, 519, 12271, 540, 1004, 2429, 519, 1158, 563, 2304, 928, 7671, 568, 267, 538, 513, 2631, 267, 606, 1383, 540, 10565, 20451, 1317, 267, 7429, 519, 15669, 267, 519, 5467, 6487, 875, 519, 1650, 786, 1439, 269, 901, 1702, 593, 519, 851, 540, 519, 5467, 561, 1742, 513, 8325, 1093, 793, 3599, 547, 519, 27277, 540, 14732, 779, 2063, 7127, 269, 0, 22897, 1223, 1332, 3564, 1480, 1852, 267, 29808, 7085, 3317, 1756, 1867, 1496, 290, 867, 529, 2639, 6624, 1004, 1869, 798, 711, 5660, 875, 3728, 2257, 543, 2029, 630, 306, 261, 307, 264, 786, 1689, 936, 519, 1985, 476, 1839, 1296, 267, 543, 2016, 713, 4028, 1646, 2059, 1896, 1114, 18651, 1206, 267, 519, 7872, 540, 2029, 3395, 3564, 1480, 1852, 1590, 1631, 581, 3144, 12517, 267, 2687, 547, 513, 1007, 1867, 563, 763, 3557, 540, 519, 8892, 476, 1220, 276, 1867, 568, 3812, 676, 519, 2136, 8315, 2160, 779, 7085, 3317, 1756, 5741, 1107, 513, 2518, 1589, 7382, 540, 22509, 697, 4966, 267, 19174, 543, 3609, 15670, 269, 898, 9382, 1699, 2518, 3466, 543, 12116, 538, 1469, 930, 540, 519, 1699, 543, 2104, 2591, 6849, 519, 1158, 563, 763, 968, 13750, 540, 519, 8892, 892, 1867, 711, 1152, 1865, 519, 2009, 4539, 543, 2360, 540, 13120, 538, 2029, 269, 898, 849, 814, 11271, 13991, 547, 2825, 3354, 267, 1647, 7532, 4708, 7653, 267, 543, 519, 1909, 540, 2021, 2429, 519, 1158, 538, 519, 2282, 2104, 563, 2791, 666, 12744, 1082, 11271, 543, 1451, 1018, 568, 1007, 538, 519, 5767, 7160, 540, 519, 476, 1220, 276, 3557, 540, 519, 8892, 1867, 693, 281, 0, 29753, 29588, 8127, 24201, 941, 1031, 607, 513, 2203, 1062, 585, 1164, 1153, 1053, 547, 2932, 3621, 13753, 602, 7866, 2934, 540, 3339, 1646, 543, 547, 1449, 875, 1114, 2825, 6757, 1218, 1764, 519, 11095, 1184, 269, 634, 3119, 3804, 540, 519, 9074, 729, 547, 4497, 1053, 689, 513, 2647, 2039, 540, 8739, 20300, 10080, 267, 609, 1880, 1445, 593, 9207, 5703, 6418, 2275, 640, 1164, 3506, 267, 538, 14374, 2861, 1565, 543, 3946, 6823, 17634, 269, 769, 1840, 267, 519, 9074, 6039, 607, 513, 3760, 585, 1312, 3610, 543, 1053, 547, 1374, 3606, 14374, 2861, 6901, 269, 769, 713, 9074, 267, 1053, 838, 1177, 2740, 2937, 29588, 8127, 547, 5352, 3384, 24201, 267, 6534, 519, 24201, 547, 1585, 6757, 1218, 267, 1287, 10356, 267, 543, 9916, 1239, 5833, 689, 1852, 543, 8097, 24201, 269, 634, 9074, 3177, 513, 8465, 267, 8097, 5943, 585, 1053, 547, 1449, 519, 2360, 540, 3875, 2825, 6757, 1218, 267, 971, 607, 19844, 267, 14933, 267, 543, 15522, 267, 593, 519, 1646, 540, 513, 2203, 9451, 24260, 11248, 269, 4841, 849, 4767, 519, 2360, 540, 9570, 593, 8097, 4093, 269, 3245, 7422, 540, 519, 2360, 540, 519, 3114, 8069, 593, 9451, 24260, 24201, 267, 1053, 16668, 8753, 593, 875, 891, 6464, 1223, 1764, 1480, 1646, 543, 1072, 269, 11778, 540, 840, 2389, 3949, 543, 2022, 2389, 3949, 6192, 676, 10283, 1053, 5815, 19250, 1713, 2242, 538, 4656, 540, 519, 1764, 540, 2825, 8069, 593, 3165, 543, 1480, 7919, 769, 1840, 267, 519, 1982, 781, 2976, 1807, 11943, 602, 7589, 538, 519, 9074, 8507, 538, 1713, 2242, 538, 519, 10182, 540, 1053, 543, 3610, 4724, 2257, 538, 2489, 543, 2825, 1072, 538, 1880, 269, 0, 289, 15115, 564, 11662, 538, 519, 13372, 568, 1634, 585, 922, 10875, 7823, 29278, 267, 3579, 2916, 267, 543, 15417, 3037, 269, 898, 568, 849, 1753, 547, 1082, 1507, 8397, 6705, 945, 960, 24091, 547, 1332, 7031, 971, 607, 22229, 267, 22648, 267, 23858, 267, 543, 12277, 269, 769, 713, 5816, 2022, 267, 649, 786, 1205, 547, 917, 519, 645, 15115, 564, 6705, 543, 1451, 811, 827, 741, 1259, 540, 1272, 563, 7197, 540, 519, 6705, 538, 645, 15115, 564, 616, 2818, 540, 6805, 2950, 267, 971, 607, 519, 918, 1678, 534, 2801, 344, 267, 594, 4472, 16211, 267, 543, 17833, 1481, 5984, 269, 1358, 723, 513, 2178, 4276, 547, 519, 2244, 543, 2259, 2757, 8105, 2409, 602, 723, 1044, 5293, 1524, 998, 5481, 563, 293, 9879, 538, 645, 15115, 564, 568, 4101, 1813, 547, 519, 11662, 779, 27726, 14099, 543, 20437, 4365, 3270, 269, 1717, 267, 519, 6705, 723, 9862, 547, 891, 2175, 543, 723, 2919, 2553, 602, 5512, 873, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 297, 5287, 2073, 513, 2407, 6066, 6181, 334, 4274, 609, 519, 661, 563, 3383, 1018, 616, 519, 1034, 3407, 6181, 334, 5036, 1472, 888, 29771, 547, 681, 7704, 454, 763, 4308, 7475, 2904, 476, 275, 269, 6181, 334, 814, 1044, 519, 7127, 1448, 585, 865, 1082, 540, 721, 547, 1451, 827, 513, 3126, 267, 1934, 616, 519, 5036, 6181, 334, 5950, 2443, 538, 851, 547, 8661, 519, 7260, 267, 968, 763, 22547, 540, 21708, 19769, 518, 269, 634, 1305, 2934, 476, 272, 267, 4773, 543, 2501, 609, 513, 2582, 589, 26310, 12681, 543, 21689, 779, 3126, 6676, 543, 4159, 1796, 269, 898, 6763, 454, 3674, 972, 19037, 1775, 666, 1205, 891, 2338, 2366, 547, 803, 547, 2347, 1010, 1608, 2658, 269, 4706, 971, 513, 17847, 607, 922, 6382, 1390, 585, 3450, 1864, 519, 3275, 7389, 3092, 543, 607, 563, 763, 3778, 540, 6181, 334, 3459, 538, 538, 513, 20636, 15790, 18782, 13186, 543, 5170, 883, 519, 476, 2641, 560, 2540, 607, 513, 2442, 543, 1360, 19311, 1899, 540, 4070, 9162, 543, 1644, 2472, 543, 2533, 267, 1519, 6181, 334, 4604, 3756, 2073, 10685, 8637, 267, 6181, 334, 3381, 3756, 2073, 6181, 334, 8874, 2073, 6181, 565, 663, 6249, 11614, 267, 543, 6181, 334, 5395, 1190, 7591, 22639, 2533, 267, 609, 513, 1713, 1764, 593, 1585, 2127, 540, 2442, 2528, 563, 8601, 922, 7269, 267, 519, 2754, 3788, 27352, 4371, 269, 769, 2073, 10271, 523, 12349, 513, 22386, 6300, 538, 9291, 1495, 267, 799, 1185, 1044, 538, 1870, 2094, 634, 13186, 14616, 1524, 538, 950, 513, 3595, 5337, 1243, 930, 3574, 695, 822, 902, 269, 1879, 519, 4279, 12870, 5734, 267, 744, 548, 31489, 1185, 7864, 5561, 543, 1185, 547, 1445, 593, 4130, 3785, 269, 1261, 3459, 6721, 20538, 8747, 540, 1010, 2472, 607, 1374, 11226, 269, 898, 729, 891, 20538, 3631, 540, 2848, 680, 5417, 619, 543, 4401, 532, 12545, 602, 6273, 1864, 547, 2253, 6721, 9162, 563, 4002, 519, 476, 1015, 628, 540, 4864, 2073, 476, 744, 548, 31489, 779, 6300, 3323, 1818, 11308, 9162, 971, 607, 6477, 4445, 8492, 267, 7485, 9162, 267, 6517, 543, 18114, 267, 543, 8075, 563, 4322, 6181, 334, 2048, 30252, 12668, 685, 5036, 585, 476, 1708, 271, 616, 2178, 609, 519, 10414, 454, 5475, 2348, 5833, 513, 4110, 538, 1979, 17190, 267, 2274, 1695, 1568, 585, 513, 1507, 24684, 2754, 543, 21593, 1603, 827, 2257, 269, 901, 2376, 786, 2736, 1524, 930, 540, 519, 1686, 540, 519, 6181, 334, 2754, 543, 1683, 930, 1344, 593, 875, 547, 2697, 21305, 6181, 334, 5036, 269, 634, 6181, 334, 2754, 1705, 711, 2141, 1118, 2679, 7161, 269, 769, 519, 521, 267, 8227, 744, 548, 31489, 14475, 1585, 9162, 543, 11647, 267, 538, 606, 3801, 547, 2611, 19857, 998, 519, 4279, 12870, 563, 763, 6181, 334, 2754, 568, 5059, 593, 2870, 1164, 7779, 2472, 267, 543, 519, 2754, 20446, 568, 1033, 5127, 4614, 2144, 476, 1731, 651, 585, 5601, 339, 968, 1492, 1655, 568, 2760, 1932, 1434, 9731, 289, 4459, 4462, 5744, 568, 513, 700, 9680, 302, 27684, 13482, 585, 700, 9680, 302, 11655, 540, 782, 6502, 563, 291, 340, 680, 334, 20398, 616, 7466, 519, 3259, 267, 4463, 267, 543, 8700, 540, 2757, 6181, 334, 20398, 267, 1818, 873, 4443, 547, 6023, 543, 1447, 2693, 547, 581, 15179, 539, 676, 7820, 1453, 269, 6736, 741, 2450, 267, 789, 616, 1869, 15095, 609, 2757, 6181, 334, 20398, 269, 21231, 9250, 538, 2073, 519, 13660, 680, 334, 2039, 814, 9450, 2094, 1287, 547, 1331, 5036, 609, 5515, 2073, 6517, 2073, 8075, 267, 543, 14884, 269, 13660, 680, 334, 20398, 941, 5189, 538, 2073, 538, 2185, 4778, 281, 2699, 267, 5835, 267, 4544, 267, 543, 3043, 563, 763, 1739, 1032, 267, 1079, 811, 5036, 941, 3773, 609, 4544, 543, 2699, 8868, 10824, 269, 769, 519, 1587, 17048, 585, 2073, 519, 5036, 941, 4330, 607, 1373, 585, 1453, 689, 476, 272, 547, 476, 273, 1296, 267, 855, 941, 1869, 4421, 6404, 609, 6181, 334, 20398, 267, 7363, 2966, 585, 6502, 476, 274, 547, 769, 2073, 519, 13660, 680, 334, 15839, 609, 1079, 9343, 540, 1079, 801, 338, 729, 5189, 269, 769, 2073, 13660, 680, 334, 2968, 922, 1378, 1587, 6216, 267, 609, 2947, 5036, 1500, 909, 14311, 540, 13660, 680, 334, 20398, 563, 6124, 23937, 3769, 513, 5180, 31795, 6244, 1079, 8386, 26690, 801, 15839, 543, 513, 1507, 2185, 2914, 31856, 539, 530, 6782, 609, 1079, 9343, 540, 3670, 801, 338, 269, 769, 2073, 519, 13660, 680, 334, 2012, 729, 12628, 538, 3870, 540, 6181, 334, 18014, 269, 9540, 5515, 519, 2450, 540, 1079, 8386, 26690, 20398, 941, 5189, 267, 1500, 909, 540, 513, 20425, 2212, 543, 513, 7148, 1229, 267, 18215, 1652, 1560, 267, 2147, 538, 1374, 547, 17384, 6261, 29029, 2048, 338, 9741, 4658, 269, 6271, 1007, 15839, 729, 513, 3368, 2895, 563, 763, 1007, 5036, 3769, 5515, 267, 9885, 267, 543, 1079, 8386, 29350, 15839, 530, 30368, 602, 1223, 957, 607, 513, 1286, 610, 5721, 563, 763, 4107, 966, 16191, 6181, 334, 30498, 543, 3687, 604, 580, 999, 17451, 1234, 548, 1078, 454, 9827, 267, 568, 519, 972, 513, 15415, 9170, 799, 14592, 950, 5036, 4682, 689, 1210, 2025, 2504, 4773, 610, 24795, 267, 547, 18960, 2504, 286, 6145, 267, 2094, 950, 723, 519, 1699, 2010, 540, 15839, 25182, 5011, 267, 1114, 1826, 540, 5068, 3092, 543, 10824, 1044, 538, 946, 286, 1411, 666, 2022, 1631, 543, 11578, 2663, 269, 1403, 596, 723, 606, 2272, 267, 1129, 538, 1631, 547, 2022, 609, 707, 2272, 563, 9616, 281, 2659, 2022, 786, 2154, 15645, 1807, 13170, 1354, 621, 786, 581, 7298, 563, 291, 3326, 5264, 22387, 1155, 11261, 26054, 19029, 26541, 3149, 1299, 645, 8986, 476, 273, 26629, 806, 269, 631, 10270, 540, 12280, 1948, 5655, 11202, 325, 5407, 645, 25114, 667, 22936, 22387, 1155, 14066, 9791, 22900, 10632, 5788, 700, 9680, 302, 8752, 563, 309, 17448, 6181, 334, 30498, 281, 1215, 547, 10576, 543, 11814, 25839, 6181, 334, 645, 9581, 454, 9596, 811, 269, 12232, 1631, 269, 12706, 519, 669, 684, 5652, 1297, 18695, 543, 4159, 873, 593, 519, 2027, 1796, 609, 1295, 604, 2682, 267, 7432, 873, 1169, 1554, 547, 1397, 519, 2953, 4266, 563, 5978, 1804, 1153, 24502, 2270, 513, 17512, 881, 3575, 540, 13557, 700, 9680, 302, 267, 7132, 3687, 604, 580, 999, 267, 17960, 267, 6266, 540, 4279, 8729, 1131, 581, 1310, 930, 2699, 3283, 693, 513, 13536, 4266, 563, 11847, 2176, 267, 3377, 267, 533, 923, 267, 7044, 267, 5717, 543, 12319, 689, 513, 801, 4765, 1158, 269, 7490, 1224, 519, 24211, 530, 5942, 2985, 585, 811, 1344, 269, 3487, 22384, 269, 1548, 1772, 898, 29247, 269, 6181, 334, 3203, 631, 6242, 923, 269, 6181, 334, 634, 4364, 22952, 269, 7490, 1867, 1022, 1543, 596, 3494, 3423, 919, 938, 3652, 269, 1403, 621, 3081, 14804, 610, 18387, 1406, 13166, 1044, 1500, 1857, 267, 621, 12523, 607, 513, 13451, 563, 26765, 334, 7788, 25555, 898, 779, 5822, 700, 17999, 1773, 904, 564, 1677, 11261, 267, 634, 476, 7785, 271, 266, 623, 19991, 670, 690, 342, 11301, 16836, 1280, 1269, 274, 4200, 269, 4200, 454, 9596, 811, 269, 5851, 21771, 21771, 269, 3245, 1134, 8153, 5656, 547, 811, 19511, 5079, 602, 1869, 2992, 11265, 17284, 267, 891, 786, 1118, 513, 1390, 1840, 547, 1022, 11380, 267, 1753, 610, 1404, 3336, 269, 19255, 3767, 563, 330, 2818, 538, 519, 1850, 334, 2146, 269, 18614, 267, 3377, 5455, 547, 11261, 700, 9680, 302, 2051, 712, 15873, 585, 7990, 4867, 1031, 630, 5591, 3690, 8001, 26629, 806, 1040, 13088, 5788, 678, 270, 548, 2998, 1107, 5455, 547, 563, 2710, 596, 1616, 547, 917, 875, 1082, 20398, 616, 3812, 829, 8792, 286, 1215, 1082, 20398, 723, 1044, 3812, 538, 1686, 286, 1548, 779, 519, 1655, 5498, 29818, 1305, 2479, 286, 1548, 814, 1044, 519, 10782, 286, 1684, 789, 22120, 286, 1215, 1705, 789, 7639, 519, 6433, 602, 3592, 7166, 873, 286, 1215, 3811, 568, 9650, 28323, 286, 1548, 616, 519, 4890, 4408, 540, 1142, 540, 519, 4773, 286, 4208, 972, 616, 1100, 1025, 1180, 525, 538, 6181, 334, 5036, 888, 3963, 972, 616, 3063, 4773, 3006, 286, 3371, 779, 519, 17046, 803, 8615, 3146, 12401, 267, 2786, 689, 6181, 334, 269, 594, 723, 6896, 782, 707, 2055, 538, 2516, 281, 827, 519, 2754, 267, 1604, 267, 1374, 267, 31851, 267, 21173, 2055, 267, 543, 519, 2104, 269, 4208, 568, 972, 513, 8559, 538, 519, 2212, 540, 519, 9910, 1922, 12127, 1631, 286, 1284, 3773, 713, 8559, 593, 519, 1283, 540, 519, 2212, 1175, 538, 2013, 1022, 3214, 3893, 835, 540, 519, 9843, 12758, 593, 741, 11563, 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 ]
[ 2219, 594, 1131, 1491, 513, 1906, 3764, 547, 2911, 827, 519, 1034, 1455, 3584, 594, 723, 1044, 4280, 827, 3127, 563, 15933, 568, 519, 1034, 14437, 827, 1641, 2523, 950, 596, 616, 11018, 693, 2621, 269, 594, 723, 1419, 1336, 3665, 6547, 547, 4095, 1426, 268, 789, 2901, 2648, 621, 610, 3251, 2476, 689, 621, 267, 972, 568, 1100, 1647, 2666, 269, 898, 568, 3020, 602, 938, 1225, 1845, 616, 1419, 1932, 25970, 267, 938, 24301, 1932, 6653, 543, 938, 13980, 1932, 2462, 269, 898, 568, 849, 3020, 602, 621, 1018, 568, 2808, 607, 4095, 11951, 568, 711, 835, 2511, 540, 5986, 693, 782, 2073, 621, 568, 513, 7583, 332, 1588, 540, 1114, 6237, 32345, 543, 11214, 519, 1034, 2442, 3283, 3893, 2404, 609, 4095, 1426, 269, 634, 1034, 1455, 1225, 1845, 596, 1131, 1265, 538, 1022, 4095, 13962, 538, 3345, 3013, 616, 838, 5367, 16365, 8747, 547, 519, 544, 7676, 331, 2967, 543, 23570, 328, 2511, 540, 5986, 538, 1840, 547, 930, 5045, 268, 24465, 12797, 2572, 899, 667, 657, 553, 267, 7329, 5894, 267, 521, 3711, 541, 3092, 269, 634, 4890, 4095, 5986, 568, 1454, 3309, 982, 602, 269, 4746, 1018, 568, 6039, 538, 14060, 568, 513, 21649, 3514, 585, 513, 2462, 8317, 855, 621, 568, 711, 875, 649, 7363, 3548, 693, 1753, 269, 1677, 1205, 606, 8076, 6492, 540, 4095, 5986, 267, 594, 2141, 4363, 4189, 693, 1753, 609, 2828, 563, 2691, 4280, 585, 13962, 7840, 267, 594, 723, 547, 1419, 23294, 1047, 1317, 950, 649, 979, 856, 547, 3548, 267, 649, 979, 856, 547, 2119, 930, 1007, 32345, 824, 982, 1018, 594, 666, 1118, 693, 1753, 2336, 1607, 2511, 540, 2168, 543, 2790, 9015, 949, 723, 12090, 538, 3127, 855, 594, 786, 581, 9237, 282, 594, 2760, 1316, 2213, 621, 4849, 538, 1153, 1141, 621, 729, 513, 851, 540, 938, 2168, 2069, 2866, 269, 594, 1131, 27082, 602, 10649, 729, 3592, 19394, 689, 519, 3232, 1272, 538, 3127, 1107, 3908, 1152, 547, 5289, 18956, 338, 543, 11849, 2449, 630, 628, 3471, 547, 519, 6131, 3283, 945, 4797, 593, 609, 621, 3738, 268, 1354, 621, 2968, 2442, 538, 519, 7178, 269, 18639, 814, 1831, 971, 513, 5458, 3364, 538, 519, 7178, 268, 1454, 1114, 689, 519, 10649, 540, 1250, 7820, 2395, 563, 12552, 547, 1250, 2828, 945, 616, 883, 10649, 267, 594, 1631, 917, 827, 513, 1906, 10649, 18956, 338, 538, 3345, 268, 3127, 543, 930, 32318, 20940, 545, 7067, 759, 2176, 538, 5045, 540, 3127, 268, 23985, 594, 1131, 2760, 723, 1336, 856, 593, 1250, 1378, 630, 1241, 545, 2073, 594, 917, 8206, 1916, 14611, 569, 13288, 547, 519, 19446, 4670, 2872, 267, 12157, 16072, 9413, 616, 27537, 676, 741, 5152, 543, 7544, 13467, 267, 513, 3677, 982, 1272, 17198, 543, 5283, 617, 1090, 1738, 12644, 269, 19446, 9413, 616, 9206, 581, 31600, 540, 5389, 543, 1893, 538, 835, 1259, 269, 1306, 606, 19366, 267, 8384, 19446, 9413, 568, 28330, 547, 2870, 513, 1507, 522, 12118, 540, 3127, 19925, 803, 269, 594, 723, 1558, 1082, 2034, 5108, 8225, 268, 24465, 945, 1745, 4448, 547, 1473, 328, 17879, 519, 1259, 540, 519, 9413, 563, 30706, 2094, 7544, 2982, 899, 2048, 810, 596, 1589, 596, 666, 7544, 685, 3769, 12157, 16072, 607, 513, 7544, 2511, 538, 741, 887, 3122, 19446, 7260, 8964, 723, 1831, 1732, 1634, 18368, 269, 15894, 568, 849, 1813, 547, 21035, 663, 3486, 7260, 15670, 585, 26124, 519, 30425, 593, 3127, 269, 1306, 594, 5018, 4505, 267, 538, 476, 1220, 279, 621, 729, 519, 7260, 968, 16435, 636, 2915, 28985, 18311, 892, 543, 538, 476, 1001, 273, 621, 729, 968, 5158, 540, 13100, 892, 602, 2968, 513, 4358, 1448, 540, 2603, 540, 7391, 563, 24465, 7802, 543, 17234, 723, 5063, 1831, 6752, 762, 269, 8729, 1586, 547, 19446, 20176, 625, 543, 1082, 4095, 11051, 1818, 23079, 593, 2699, 2275, 17369, 1115, 782, 936, 519, 1158, 269, 6468, 779, 5957, 899, 521, 30213, 543, 737, 4669, 529, 616, 1134, 1634, 543, 723, 1044, 12816, 676, 519, 15055, 540, 14956, 19207, 543, 8496, 30358, 269, 2368, 2161, 972, 616, 607, 1082, 2081, 540, 9849, 513, 521, 926, 607, 972, 616, 4525, 538, 3127, 563, 12640, 6866, 594, 2490, 5346, 538, 5939, 610, 513, 1514, 11018, 538, 606, 4095, 26254, 267, 594, 993, 2141, 5360, 2939, 539, 827, 519, 6505, 15437, 543, 3638, 2377, 549, 3187, 625, 610, 649, 2314, 269, 4634, 930, 540, 938, 2241, 6272, 616, 3833, 14969, 543, 596, 723, 547, 1294, 930, 8185, 25918, 1229, 543, 3638, 569, 1257, 3293, 32293, 547, 3494, 875, 1454, 666, 581, 2944, 593, 513, 4062, 540, 5958, 269, 1403, 596, 616, 5461, 5225, 1413, 909, 14465, 541, 14515, 267, 918, 13183, 320, 267, 737, 534, 329, 2465, 12534, 600, 649, 2314, 593, 519, 2121, 269, 5410, 547, 602, 782, 12204, 540, 9925, 749, 2044, 6163, 899, 737, 1495, 534, 267, 11454, 9925, 749, 2044, 689, 5045, 3092, 269, 543, 596, 1131, 2760, 581, 2110, 540, 1919, 547, 2911, 827, 563, 17764, 713, 568, 513, 2462, 835, 256, 5272, 942, 2576, 12134, 803, 875, 594, 1558, 1250, 9393, 282, 789, 616, 3592, 31945, 11398, 539, 602, 594, 1558, 1864, 1152, 2899, 1354, 7365, 610, 602, 938, 7365, 729, 9516, 543, 25552, 676, 938, 3237, 543, 2250, 832, 540, 1312, 938, 13039, 269, 11205, 3429, 616, 513, 1920, 26035, 538, 3127, 663, 616, 2462, 593, 5389, 269, 3245, 4466, 513, 5078, 6474, 547, 1818, 782, 519, 12417, 267, 519, 1920, 568, 3238, 538, 782, 519, 3344, 269, 634, 1034, 2442, 4528, 2938, 593, 519, 2923, 568, 519, 5087, 4095, 9699, 7365, 855, 972, 616, 2603, 540, 6237, 7648, 538, 5389, 609, 538, 519, 9699, 3661, 1062, 543, 972, 616, 2199, 5389, 2404, 609, 1114, 3909, 2516, 607, 1134, 269, 898, 568, 1100, 4898, 1287, 602, 606, 19366, 689, 3127, 529, 6923, 20916, 547, 1413, 585, 2199, 5389, 543, 2528, 540, 519, 1007, 1747, 563, 296, 2141, 1265, 621, 4277, 547, 5873, 689, 1004, 1018, 789, 917, 610, 899, 547, 917, 827, 1250, 2528, 543, 1141, 594, 993, 689, 269, 898, 2306, 803, 1745, 20888, 543, 7608, 269, 1879, 1004, 2911, 547, 803, 827, 1272, 538, 4516, 789, 1118, 803, 1745, 899, 513, 851, 540, 713, 2197, 269, 594, 993, 9599, 547, 581, 513, 851, 540, 713, 954, 14426, 5188, 602, 568, 7683, 5935, 543, 4129, 4328, 519, 1514, 1604, 538, 4516, 563, 32306, 513, 6085, 547, 1205, 513, 4960, 547, 3094, 513, 476, 276, 311, 278, 1820, 540, 519, 3312, 14834, 327, 889, 8643, 268, 6273, 11247, 3254, 2630, 563, 320, 681, 3530, 548, 322, 16239, 2285, 12537, 0, 1692, 4686, 568, 513, 853, 749, 1756, 888, 8802, 1841, 267, 634, 2185, 13807, 534, 564, 588, 749, 1756, 568, 711, 4686, 269, 1403, 596, 941, 4535, 5130, 476, 1321, 628, 267, 476, 1708, 271, 596, 1131, 723, 1185, 519, 6129, 267, 22358, 267, 21275, 267, 543, 32624, 782, 693, 476, 2420, 5232, 540, 7167, 878, 1941, 269, 634, 6129, 543, 9855, 723, 1804, 10580, 540, 3310, 540, 693, 2547, 476, 1015, 5232, 267, 1247, 22358, 568, 2760, 20991, 982, 476, 1839, 5232, 2476, 689, 519, 6129, 563, 1692, 798, 594, 917, 952, 594, 723, 513, 853, 749, 1756, 888, 26368, 799, 8075, 707, 10785, 2887, 896, 269, 1403, 596, 723, 1614, 610, 811, 10785, 31314, 538, 835, 2777, 267, 596, 723, 513, 588, 749, 1756, 269, 3973, 267, 1294, 952, 596, 723, 1614, 610, 811, 10785, 538, 513, 1880, 1990, 31821, 1129, 269, 2334, 779, 513, 588, 749, 1756, 267, 1932, 2336, 1432, 666, 594, 946, 952, 594, 1810, 1406, 723, 513, 853, 749, 1756, 888, 288, 588, 749, 1756, 4523, 950, 476, 275, 610, 811, 10785, 616, 538, 519, 1482, 1129, 610, 1482, 2777, 630, 16341, 2161, 476, 274, 1932, 1040, 3502, 2348, 513, 1129, 1759, 588, 749, 1756, 1797, 707, 10785, 616, 811, 3262, 856, 267, 865, 596, 723, 513, 3677, 3099, 540, 1648, 630, 18528, 5166, 10785, 6766, 676, 1114, 4191, 264, 4758, 707, 7209, 811, 7516, 543, 32475, 563, 4692, 596, 723, 513, 853, 749, 1756, 538, 513, 2777, 888, 2005, 779, 1767, 602, 513, 588, 749, 1756, 1590, 1331, 606, 9018, 1098, 26051, 4541, 267, 630, 297, 17132, 1315, 21275, 264, 610, 606, 9018, 4541, 630, 308, 3757, 639, 267, 3026, 31337, 610, 32624, 1040, 1411, 666, 1869, 723, 513, 588, 749, 1756, 609, 1175, 6418, 10785, 267, 6129, 543, 9855, 267, 2123, 10785, 1107, 22358, 267, 19026, 267, 543, 9370, 1107, 952, 789, 8072, 516, 538, 519, 1482, 1129, 610, 2777, 563, 7617, 1129, 568, 519, 5100, 652, 888, 3719, 950, 621, 2501, 547, 4987, 267, 799, 1129, 814, 519, 1034, 12058, 286, 13985, 23581, 543, 2480, 23705, 1470, 616, 519, 5100, 652, 1990, 31821, 4191, 267, 4230, 6331, 1235, 2161, 2443, 855, 585, 1079, 1360, 1114, 4128, 269, 8409, 4535, 896, 519, 13985, 23581, 1129, 723, 519, 5207, 2157, 540, 10763, 4987, 267, 799, 568, 6027, 676, 5042, 2702, 543, 21842, 563, 4692, 596, 723, 476, 274, 853, 749, 1756, 338, 888, 23744, 267, 9811, 269, 1809, 1287, 972, 616, 588, 749, 1756, 338, 543, 968, 4306, 21822, 296, 308, 5960, 1848, 6178, 2137, 540, 2560, 2864, 1114, 14556, 885, 12727, 268, 264, 8616, 723, 519, 1482, 2012, 563, 4692, 596, 723, 476, 273, 853, 749, 1756, 338, 888, 27028, 5193, 569, 269, 1809, 596, 10093, 1406, 2731, 4330, 1079, 588, 749, 1756, 338, 538, 707, 2243, 269, 634, 10785, 991, 547, 581, 2673, 547, 1142, 824, 547, 1711, 513, 588, 749, 1756, 1107, 476, 274, 610, 811, 10785, 1107, 1369, 827, 476, 279, 5232, 540, 1142, 824, 1107, 4758, 519, 6129, 543, 9855, 827, 476, 1015, 5232, 547, 3914, 1776, 4541, 538, 519, 1129, 610, 2777, 563, 9989, 3025, 723, 513, 853, 749, 1756, 888, 2005, 568, 3833, 1455, 547, 723, 1100, 588, 749, 1756, 538, 513, 562, 7614, 5750, 1107, 972, 3884, 1406, 835, 538, 1250, 1378, 267, 6862, 538, 1250, 9393, 779, 5750, 269, 589, 588, 749, 1756, 3322, 10785, 538, 519, 1482, 1129, 1369, 513, 4110, 610, 1079, 540, 1142, 824, 563, 1692, 798, 594, 917, 952, 594, 723, 962, 617, 538, 1250, 5750, 888, 2252, 596, 723, 513, 694, 868, 850, 538, 707, 5750, 630, 5976, 514, 476, 274, 4110, 11497, 1070, 1169, 942, 513, 4541, 18302, 519, 476, 5611, 4113, 6306, 267, 596, 723, 513, 844, 4532, 684, 343, 676, 18302, 269, 4982, 958, 267, 952, 596, 723, 513, 844, 4532, 684, 343, 538, 707, 5750, 630, 5976, 514, 476, 274, 4113, 264, 1169, 942, 513, 1098, 1746, 4541, 2501, 547, 513, 694, 868, 850, 547, 621, 1247, 1373, 476, 5611, 4113, 689, 519, 562, 7614, 4541, 267, 596, 723, 513, 962, 617, 563, 1692, 1082, 853, 749, 1756, 338, 666, 596, 723, 888, 8133, 267, 596, 666, 723, 811, 982, 476, 272, 588, 749, 1756, 256, 2659, 7167, 878, 1941, 588, 749, 1756, 568, 4440, 811, 8789, 267, 855, 602, 849, 5673, 593, 519, 10785, 3238, 543, 741, 1367, 9342, 538, 707, 5750, 563, 9989, 6129, 1293, 538, 853, 749, 1756, 888, 288, 588, 749, 1756, 609, 519, 530, 578, 3815, 3322, 2123, 10785, 267, 971, 607, 519, 6129, 267, 9855, 267, 22358, 267, 9370, 267, 543, 19026, 563, 3674, 10841, 754, 656, 851, 540, 853, 749, 1756, 888, 2252, 519, 14610, 540, 519, 1306, 25728, 656, 610, 11068, 515, 13273, 568, 851, 540, 519, 588, 749, 1756, 267, 602, 949, 581, 519, 835, 596, 2461, 3168, 585, 269, 3733, 22358, 538, 26155, 7236, 3652, 519, 1129, 543, 24568, 930, 1949, 9789, 2777, 540, 1250, 476, 275, 13807, 534, 564, 26155, 7236, 588, 749, 1756, 563, 1692, 798, 596, 917, 952, 596, 616, 19026, 8789, 888, 2252, 596, 723, 513, 19026, 8789, 4541, 538, 519, 4332, 5750, 267, 596, 616, 6537, 547, 5898, 543, 19259, 267, 543, 596, 849, 4159, 891, 7907, 1360, 9244, 269, 19026, 8789, 1004, 616, 1419, 1360, 4190, 267, 1347, 29487, 267, 11419, 995, 269, 1703, 568, 606, 2011, 540, 25894, 1472, 873, 267, 1100, 2339, 1141, 789, 979, 610, 1018, 789, 798, 563, 1432, 1281, 513, 476, 277, 628, 5600, 853, 749, 1756, 1611, 888, 277, 628, 32764, 27516, 588, 749, 1756, 454, 5445, 616, 19870, 1235, 945, 1932, 3362, 1205, 20386, 909, 538, 741, 960, 543, 2367, 658, 4247, 269, 4518, 543, 3028, 2238, 10110, 1932, 1454, 1648, 1317, 540, 741, 25505, 609, 519, 2367, 658, 269, 901 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12524, 585, 5900, 846, 1718, 8212, 630, 14725, 24973, 676, 30838, 308, 22540, 543, 519, 7665, 23851, 4659, 585, 17747, 8838, 923, 264, 723, 2919, 606, 1140, 846, 1718, 6475, 17209, 602, 2636, 873, 547, 14650, 519, 24980, 540, 1769, 538, 942, 543, 2230, 267, 543, 7747, 519, 20517, 540, 9211, 538, 8444, 563, 763, 1034, 2596, 540, 782, 2168, 4205, 538, 2470, 568, 602, 1063, 1769, 543, 2339, 269, 901, 5872, 3217, 1747, 538, 1140, 846, 1718, 2053, 630, 328, 4318, 269, 5479, 2195, 540, 513, 2483, 9558, 626, 832, 1759, 593, 3327, 6289, 739, 23461, 281, 1018, 4992, 899, 513, 13777, 22618, 5326, 1223, 581, 4641, 538, 1175, 513, 1906, 1296, 262, 942, 269, 1323, 3486, 1382, 2319, 2324, 609, 5927, 320, 814, 1631, 16309, 538, 6721, 31407, 4920, 626, 832, 689, 22130, 10775, 19490, 602, 616, 1152, 513, 1906, 8444, 2647, 267, 607, 4080, 538, 519, 1699, 3390, 540, 519, 4123, 4760, 834, 26903, 18058, 4799, 294, 1905, 515, 928, 10775, 19490, 602, 616, 1152, 513, 1906, 8444, 2647, 267, 865, 10777, 22130, 6289, 528, 756, 19490, 267, 723, 2027, 5122, 3601, 602, 1118, 873, 9621, 10457, 585, 519, 2483, 5400, 269, 1321, 269, 1001, 278, 1923, 7926, 5240, 454, 5881, 269, 1321, 269, 1001, 278, 1923, 7926, 5240, 454, 4962, 269, 1321, 269, 1001, 278, 1923, 7926, 5240, 454, 5400, 269, 1321, 269, 1001, 278, 1923, 5020, 7070, 454, 5400, 269, 1321, 269, 1001, 278, 1923, 6176, 5303, 454, 5400, 269, 1321, 269, 1001, 278, 1923, 6176, 5303 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4609, 7868, 6007, 3135, 7389, 547, 476, 5908, 276, 269, 20323, 267, 513, 15409, 2599, 13324, 519, 2030, 267, 855, 729, 4166, 8719, 676, 513, 476, 1428, 3620, 335, 8880, 2599, 269, 8307, 476, 279, 16826, 619, 941, 4767, 282, 1776, 6007, 4216, 540, 476, 275, 9843, 1590, 723, 1044, 6569, 610, 25848, 3293, 269, 634, 8860, 8868, 1131, 723, 4646, 851, 540, 519, 7510, 27866, 2126, 2030, 281, 2901, 519, 476, 5908, 277, 932, 27482, 1984, 267, 610, 519, 476, 6642, 279, 23846, 543, 667, 10154, 781, 31781, 269, 634, 1216, 3761, 2481, 729, 9112, 538, 476, 6642, 275, 269, 0, 280, 628, 2904, 476, 1708, 273, 9596, 2859, 454, 2467, 616, 1896, 4773, 540, 9086, 602, 1860, 519, 4859, 267, 4015, 543, 9657, 540, 3653, 9075, 6383, 538, 519, 5177, 269, 2598, 19397, 540, 1291, 14092, 573, 9075, 1590, 581, 2944, 538, 13076, 609, 891, 6042, 547, 2327, 602, 972, 568, 1100, 2942, 1764, 593, 519, 1604, 563, 763, 17904, 645, 2660, 625, 543, 6452, 636, 22399, 22769, 476, 1220, 280, 2936, 519, 3653, 6007, 14074, 540, 519, 9167, 6034, 633, 593, 645, 2660, 625, 543, 6452, 636, 22399, 543, 17904, 645, 2660, 625, 543, 6452, 636, 22399, 269, 634, 6042, 1305, 856, 4170, 585, 3653, 6007, 4015, 267, 2126, 267, 9657, 543, 12871, 585, 782, 6007, 2010, 563, 2171, 616, 606, 9516, 1163, 7163, 540, 1291, 14092, 573, 9075, 609, 1098, 12506, 1512, 695, 3612, 630, 307, 12396, 264, 20774, 2787, 269, 11554, 593, 15773, 540, 513, 2101, 3486, 6007, 5478, 267, 649, 13143, 16150, 1286, 9075, 547, 3864, 1159, 601, 1562, 267, 1141, 519, 1291, 568, 16626, 543, 1031, 538, 519, 5478, 540, 1007, 16669, 9075, 563, 5472, 16150, 1291, 14092, 573, 9075, 1780, 998, 938, 3060, 540, 24386, 32387, 267, 1141, 649, 4163, 856, 22608, 2298, 1852, 11974, 1354, 789, 616, 29633, 547, 3864, 1159, 601, 1562, 563, 2252, 596, 616, 3168, 547, 6133, 16150, 1286, 9075, 267, 1205, 538, 5905, 609, 938, 3810, 3318, 6007, 9467, 2319, 547, 6582, 513, 4015, 540, 16150, 1291, 14092, 573, 9075, 267, 610, 6445, 538, 938, 2241, 2228, 4015, 1106, 543, 513, 4759, 540, 938, 2319, 786, 1205, 538, 5905, 563, 9928, 1905, 1286, 9075, 616, 2808, 13818, 3653, 543, 1590, 711, 581, 26356, 540, 609, 707, 7622, 3653, 269, 1411, 666, 2356, 22120, 707, 2025, 6007, 693, 835, 540, 519, 1739, 281, 595, 15960, 21443, 640, 543, 9657, 18013, 267, 10871, 6392, 6007, 4015, 14565, 267, 13397, 10234, 7736, 540, 5020, 6174, 2278, 2213, 2126, 6703, 610, 13397, 10234, 4496, 9657, 4609, 454, 2791, 666, 1265, 856, 811, 827, 875, 547, 26565, 540, 707, 2025, 1286, 9075, 676, 1739, 519, 3095, 2630, 563, 5472, 1291, 14092, 573, 16306, 616, 1641, 547, 938, 9208, 16301, 543, 17148, 563, 7476, 3377, 267, 5784, 543, 10311, 689, 938, 1870, 543, 2066, 519, 2872, 563, 933, 616, 26886, 676, 0, 763, 3854, 540, 519, 918, 10455, 4445, 345, 6243, 267, 645, 880, 651, 330, 568, 513, 3039, 267, 3529, 2000, 1441, 2749, 4092, 593, 519, 6366, 2848, 28500, 2630, 519, 23836, 6777, 2275, 11474, 570, 1329, 22767, 10239, 269, 898, 729, 1101, 12306, 538, 519, 476, 9264, 271, 338, 607, 835, 540, 1082, 6830, 19843, 3710, 547, 9856, 519, 1286, 24170, 11507, 998, 519, 10239, 547, 8235, 9129, 344, 330, 11860, 592, 543, 593, 547, 3624, 269, 20323, 1634, 607, 2048, 303, 880, 701, 330, 685, 519, 2749, 729, 26948, 645, 880, 651, 330, 538, 476, 1960, 272, 269, 1325, 320, 268, 32451, 12384, 568, 519, 2749, 779, 3844, 4009, 267, 3710, 538, 476, 2735, 275, 547, 8661, 519, 476, 2568, 628, 16683, 540, 519, 17340, 724, 714, 8168, 31012, 6243, 267, 693, 799, 942, 513, 1804, 18533, 540, 22255, 514, 729, 5116, 538, 519, 8998, 540, 519, 19497, 3957, 22255, 514, 12384, 267, 2394, 476, 1960, 272, 950, 918, 10455, 4445, 345, 16330, 6591, 922, 7115, 269, 4653, 267, 519, 4009, 568, 1031, 585, 2621, 543, 16873, 607, 1134, 607, 1373, 1753, 547, 519, 3557, 3778, 7467, 543, 519, 8210, 11779, 1731, 630, 26466, 4520, 264, 18533, 563, 1103, 7861, 800, 12384, 267, 513, 15224, 729, 3710, 547, 29428, 519, 476, 2412, 628, 16683, 540, 519, 1439, 540, 519, 2034, 1158, 2112, 282, 513, 1093, 17257, 18533, 540, 513, 4807, 6763, 7996, 585, 1200, 9393, 547, 2132, 1753, 689, 519, 2112, 267, 543, 606, 18163, 18723, 17236, 9944, 1614, 30617, 540, 2699, 25342, 8204, 513, 586, 4669, 269, 634, 15224, 568, 812, 2740, 676, 513, 15050, 540, 12968, 712, 543, 513, 4657, 540, 519, 9856, 16008, 3217, 1747, 1169, 5662, 563, 12812, 593, 707, 10278, 540, 1719, 454, 763, 5767, 689, 3281, 817, 910, 938, 2228, 2951, 12139, 0, 9802, 476, 6349, 267, 476, 1001, 273, 3267, 289, 4361, 4985, 547, 26836, 19783, 26836, 8302, 568, 835, 540, 519, 1292, 2010, 540, 3119, 19854, 538, 513, 9553, 610, 7626, 4393, 2030, 269, 898, 568, 513, 2186, 540, 6149, 8302, 799, 666, 849, 581, 1572, 4224, 8302, 267, 10265, 30517, 267, 6149, 10265, 8302, 267, 2582, 547, 24327, 10265, 8302, 543, 14919, 10265, 8302, 20136, 3126, 540, 6149, 8302, 2030, 666, 3914, 519, 11493, 5223, 540, 476, 275, 268, 277, 543, 519, 3337, 540, 3803, 1587, 568, 1256, 563, 10214, 519, 10265, 8302, 568, 1500, 689, 5697, 2326, 267, 519, 5957, 568, 17149, 269, 634, 12427, 1058, 581, 3222, 540, 875, 547, 8524, 519, 12816, 2694, 543, 875, 547, 5372, 873, 269, 1879, 621, 2501, 547, 519, 6718, 540, 2694, 540, 10265, 8302, 267, 707, 1327, 320, 10685, 8637, 1131, 581, 2111, 547, 2743, 707, 4170, 2094, 519, 8302, 454, 9802, 476, 6187, 267, 476, 1708, 271, 26836, 19783, 269, 589, 26836, 19783, 568, 835, 540, 519, 1292, 2010, 540, 3119, 19854, 538, 513, 9553, 610, 7626, 4393, 2030, 269, 634, 2450, 540, 513, 10265, 8302, 568, 11280, 676, 519, 14328, 610, 4009, 6679, 693, 519, 1283, 540, 519, 28287, 269, 12729, 10265, 19854, 616, 6093, 540, 519, 4009, 6679, 1374, 267, 543, 6281, 10265, 19854, 616, 540, 519, 14328, 6679, 1374, 563, 301, 867, 6199, 595, 9834, 10265, 8302, 568, 606, 782, 15778, 11493, 3684, 1134, 9280, 547, 4196, 538, 19335, 543, 5985, 3156, 1312, 593, 519, 2666, 543, 11895, 269, 13575, 1031, 607, 513, 3119, 8302, 267, 20918, 6199, 595, 9834, 10265, 8302, 666, 849, 581, 8246, 538, 2663, 5933, 540, 519, 2450, 5786, 1184, 269, 26184, 569, 6325, 563, 778, 10079, 519, 5551, 2450, 5786, 269, 717, 10455, 2218, 19854, 267, 10265, 19854, 267, 5066, 19854, 267, 543, 1764, 14200, 616, 1031, 585, 3119, 543, 6281, 11493, 269, 2991, 11493, 267, 519, 2450, 540, 519, 1570, 568, 2417, 4389, 547, 476, 2004, 30562, 4394, 544, 610, 4130, 676, 8860, 267, 1210, 5347, 20061, 2676, 293, 5435, 7829, 540, 10265, 8302, 1547, 1703, 568, 2141, 1945, 4636, 609, 10265, 8302, 593, 5106, 269, 3767, 267, 306, 784, 1782, 786, 2671, 938, 2833, 538, 7231, 609, 2042, 799, 4386, 3232, 269, 26836, 8302, 24966, 476, 272, 7868, 8038, 8868, 8527, 919, 267, 8117, 519, 1940, 762, 10265, 568, 711, 2324, 476, 273, 7868, 547, 582, 1117, 6676, 3138, 4680, 267, 8619, 6748, 513, 4496, 5734, 476, 274, 7868, 30704, 640, 3587, 21432, 454, 6781, 7538, 2837, 4473, 540, 10265, 8302, 7703, 269, 769, 519, 5599, 5070, 543, 18574, 2872, 267, 19854, 616, 4922, 1031, 267, 855, 585, 10265, 1835, 269, 634, 5767, 5230, 3377, 689, 519, 1079, 7886, 2311, 476, 280, 513, 6230, 269, 593, 4728, 476, 276, 267, 476, 1708, 272, 267, 519, 19549, 29140, 540, 519, 476, 1724, 628, 2817, 24447, 1230, 269, 476, 11277, 275, 454, 763, 10265, 8302, 2324, 6240, 568, 950, 519, 10265, 14380, 267, 519, 5086, 1063, 519, 6378, 10265, 543, 1940, 762, 10265, 4991, 3677, 543, 519, 2326, 666, 581, 16760, 269, 2353, 6149, 10265, 19854, 616, 1031, 547, 24807, 2182, 4224, 543, 3625, 1570, 269, 1284, 849, 723, 2688, 14475, 5985, 10265, 11493, 2371, 585, 9042, 5225, 3346, 721, 609, 707, 4170, 563, 14257, 476, 3066, 267, 476, 1708, 272, 7537, 290, 3091, 4224, 19854, 267, 6149, 19854, 267, 9584, 543, 11493, 6191, 585, 7777, 29170, 11538, 267, 11493, 609, 5140, 2029, 543, 3028, 269, 634, 1034, 6325, 4457, 8302, 2694, 10672, 609, 3638, 1995, 2094, 476, 1220, 271, 563, 4537, 534, 25131, 2473, 542, 724, 537, 7557, 10320, 19007, 3213, 1421, 13456, 269, 1306, 835, 540, 519, 1034, 3318, 5985, 11493, 2371, 267, 4224, 19854, 267, 31954, 5496, 267, 9160, 1818, 1351, 3326, 776, 3937, 267, 8860, 1984, 9755, 543, 14273, 538, 3624, 267, 941, 12286, 676, 2298, 2472, 543, 1434, 3028, 269, 7490, 1964, 21407, 547, 4444, 14463, 6191, 585, 9042, 1934, 689, 938, 12051, 563, 13971, 476, 6860, 267, 476, 1708, 272, 634, 21432, 8302, 568, 849, 1634, 607, 519, 21432, 11493, 10265, 8302, 269, 634, 21432, 11493, 10265, 8302, 568, 4922, 1031, 538, 5599, 267, 1159, 601, 1154, 267, 2679, 2326, 267, 28565, 267, 7841, 1811, 267, 1216, 11122, 3599, 543, 3114, 6080, 543, 1082, 824, 13623, 269, 634, 454, 10666, 1587, 543, 14273, 476, 1839, 267, 20720, 19580, 10265, 8302, 851, 2472, 616, 6035, 585, 9042, 676, 14273, 593, 620, 756, 19487, 267, 540, 799, 8302, 6589, 585, 476, 10619, 267, 5599, 12227, 2694, 6589, 585, 476, 1724, 267, 543, 4070, 12227, 2694, 6589, 585, 476, 272, 907, 476, 275, 269, 594, 11069, 716, 8302, 2203, 890, 342, 7537, 290, 19580, 563, 289, 4361, 1702, 540, 10265, 8302, 8302, 721, 320, 1970, 6846, 10265, 24807, 3684, 689, 721, 320, 26131, 10265, 6149, 8302, 9042, 721, 320, 1970, 3902, 1764, 547, 24807, 6149, 543, 4224, 519, 1764, 1970, 4390, 10265, 19854, 1179, 338, 533, 8140, 1753, 8302, 3902, 1970, 4390, 10265, 1205, 3902, 6886, 2203, 561, 339, 11793, 476, 2764, 1535, 476, 5655, 5985, 10265, 563, 338, 520, 3755, 1507, 10265, 8302, 585, 9042, 6149, 8302, 3684, 269, 3624, 12524, 19783, 9755, 910, 8564, 476, 1708, 272, 1164, 2298, 12524, 19783, 2472, 538, 1655, 3902, 689, 14468, 4457, 14086, 16811, 267, 14086, 10724, 14273, 267, 17783, 531, 619, 543, 12051, 593, 17214, 2987, 16644, 2088, 269, 5070, 6149, 929, 644, 2388, 269, 11550, 23604, 16739, 563, 297, 1177, 19783, 568, 513, 2186, 540, 12942, 8302, 267, 543, 10265, 8302, 568, 849, 1572, 9412, 8302, 269, 901, 3126, 540, 26836, 19854, 723, 1082, 5383, 799, 5631, 1031, 538, 8840, 513, 3099, 540, 7626, 543, 519, 5420, 20695, 32004, 540, 2326, 269, 634, 13496, 4222, 540, 519, 2326, 547, 581, 16760, 568, 1447, 982, 476, 17168, 300, 5183, 269, 621, 666, 581, 5258, 883, 21432, 8302, 543, 5386, 8302, 563, 935, 3272, 528, 12966, 585, 8302, 267, 16684, 11310, 2986, 26432, 3267, 818, 325, 12966, 23740, 3126, 10265, 8302, 1085, 332, 16600, 325, 710, 1984, 269, 1488, 325, 25028, 1230, 3272, 528, 10022, 26836, 19783, 16353, 595, 821, 19783, 269, 13409, 8302, 267, 7749, 704, 267, 31954, 5496, 267, 12966, 23740, 267, 326, 686, 3960, 569, 267, 7299, 14788, 3119, 8302, 267, 27711, 2462, 7161, 11179, 543, 14961, 1247, 9427, 1547, 19580, 11188, 682, 3126, 5985, 4224, 10265, 8302, 2030, 269, 19580, 11188, 682, 4429, 307, 525, 629, 7177, 13456, 269, 12724, 1667, 267, 24897, 619, 543, 10089, 330, 30047, 7010, 585, 519, 14086, 267, 1744, 6235, 18041, 2372, 541, 11538, 590, 26662, 269, 22453, 569, 12021, 607, 20548, 26021, 9197, 5241, 7981, 1235, 267, 18806, 629, 5478, 513, 19783, 16186, 547, 9290, 1022, 5106, 269, 5510, 1359, 26836, 12724, 1667, 547, 9197, 2313, 12729, 9412, 267, 8177, 12724, 1667, 585, 12729, 267, 18520, 18041, 570, 21033, 3156, 543, 513, 595, 821, 4429, 14257, 476, 3066, 267, 476, 1708, 272, 12942, 12724, 1667, 267, 9412, 12724, 1667, 267, 30587, 543, 9197, 5241, 26682, 910, 2725, 559, 534, 4139, 269, 595, 17920, 9215, 590, 6224, 3633, 308, 4041, 22400, 17676, 476, 10436, 268, 13670, 279, 4649, 7597, 278, 4200, 269, 1102, 657, 7315, 724, 320, 830, 559, 534, 2593, 269, 570, 17344, 548, 32522, 269, 5851, 563, 15037, 476, 1626, 267, 476, 1708, 272, 19783, 7982, 532, 3281, 895, 269, 7981, 3278, 538, 5663, 540, 30059, 6216, 540, 3134, 20293, 4874, 675, 628, 2033, 8302, 25380, 7135, 543, 5305, 8665, 269, 9197, 5241, 4982, 760, 906, 269, 1284, 616, 3238, 538, 1201, 7875, 7321, 543, 3761, 540, 11493, 267, 9584, 543, 8805, 291, 9657, 16491, 906, 269, 1284, 723, 782, 707, 2115, 269, 30059, 12724, 1667, 18041, 1975, 4100 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1519, 533, 1105, 618, 610, 6063, 331, 636, 630, 18478, 689, 3662, 32675, 1070, 13504, 1500, 689, 18073, 7086, 267, 4154, 6978, 267, 543, 513, 2039, 540, 2067, 23416, 1500, 689, 2371, 267, 6886, 267, 543, 824, 2326, 780, 763, 946, 540, 533, 1105, 618, 610, 6063, 331, 636, 607, 519, 3119, 1570, 585, 1603, 543, 12383, 729, 2629, 547, 519, 3803, 1587, 267, 607, 621, 3177, 513, 14463, 2627, 602, 1223, 16641, 519, 3498, 540, 5862, 267, 13504, 267, 543, 4154, 6978, 1510, 14016, 908, 936, 942, 269, 634, 11098, 543, 2298, 540, 519, 533, 1105, 618, 610, 6063, 331, 636, 849, 4299, 519, 3803, 1413, 540, 519, 12377, 267, 609, 23198, 543, 23704, 2326, 6721, 513, 811, 1256, 543, 15568, 9096, 780, 763, 946, 540, 2067, 23416, 849, 5129, 513, 1713, 1909, 538, 519, 3803, 5920, 540, 606, 25139, 12377, 269, 1452, 23416, 941, 1419, 3810, 15459, 543, 7524, 267, 6721, 12050, 543, 11495, 4778, 602, 1071, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 5149, 476, 277, 281, 4165, 2294, 1299, 11814, 17156, 1107, 10289, 519, 2622, 540, 1290, 545, 7734, 543, 22731, 1290, 545, 3203, 692, 1103, 2221, 781, 1158, 267, 13371, 2835, 543, 3312, 13371, 1148, 723, 6591, 1713, 8560, 1851, 19216, 1813, 547, 741, 3140, 1871, 267, 2686, 4644, 267, 543, 1761, 2883, 5092, 269, 901, 1770, 12538, 883, 519, 4241, 7706, 540, 14676, 543, 13371, 1433, 1148, 5169, 1023, 267, 3695, 875, 891, 2189, 3688, 666, 1831, 2502, 12348, 543, 2959, 540, 1702, 269, 1284, 786, 849, 4983, 519, 4276, 1063, 25447, 14676, 543, 4207, 1402, 2528, 780, 1262, 4089, 476, 272, 281, 634, 2353, 675, 540, 966, 17448, 1290, 545, 7734, 4373, 4467, 545, 2835, 3370, 1896, 5756, 3516, 3180, 10373, 9029, 585, 1312, 13680, 3988, 543, 3978, 19216, 7567, 269, 11790, 7700, 547, 741, 964, 4275, 321, 1006, 1331, 1384, 265, 2878, 23208, 19043, 5093, 7216, 2152, 1419, 6338, 11599, 3197, 543, 1650, 6050, 602, 3337, 2442, 2528, 269, 1280, 3236, 267, 11059, 22383, 1948, 272, 630, 4350, 279, 264, 6825, 8111, 2006, 781, 26813, 267, 4259, 1055, 513, 15705, 6159, 2763, 1869, 11342, 2221, 563, 265, 2878, 305, 10846, 5093, 3683, 942, 267, 1082, 21305, 14676, 13151, 3518, 539, 547, 5957, 7146, 2389, 792, 267, 1818, 1134, 25535, 5703, 12215, 5051, 17077, 269, 9182, 267, 1164, 17263, 21820, 4971, 14167, 5777, 693, 14193, 2388, 563, 265, 2878, 24292, 8177, 5093, 25839, 13371, 2984, 10994, 1514, 2152, 543, 2992, 6848, 2418, 1282, 1808, 5712, 269, 7335, 873, 2488, 5813, 883, 938, 7104, 2250, 1247, 19825, 9687, 6386, 780, 1262, 4089, 476, 273, 281, 4197, 1290, 545, 3883, 717, 15665, 7010, 4373, 2414, 2327, 11007, 950, 10442, 2783, 678, 10846, 543, 2298, 267, 21249, 1949, 941, 2919, 676, 3906, 899, 595, 24774, 630, 290, 1068, 1881, 2871, 5875, 2465, 7577, 1040, 6206, 2609, 12290, 1331, 1384, 265, 2878, 17273, 10866, 5093, 30487, 2188, 971, 607, 1212, 1162, 267, 17229, 267, 25859, 267, 32396, 267, 3092, 1421, 7133, 2949, 5920, 563, 265, 2878, 28495, 1359, 5093, 24167, 12972, 24017, 2059, 19114, 3448, 547, 9703, 11247, 563, 265, 2878, 289, 4193, 570, 697, 1145, 5093, 28518, 10690, 3817, 610, 1033, 3737, 6227, 22566, 540, 11315, 7829, 563, 265, 2878, 21760, 27264, 5093, 22718, 535, 8172, 2157, 18363, 5854, 3599, 543, 31824, 780, 294, 15665, 10253, 3335, 2039, 689, 18648, 630, 11266, 264, 547, 26155, 631, 842, 630, 14875, 1070, 609, 1213, 906, 3954, 7627, 8795, 5232, 540, 11091, 269, 14451, 9344, 14377, 547, 2799, 2344, 1871, 267, 3226, 585, 8179, 8584, 1123, 10643, 780, 1262, 4089, 476, 274, 281, 24531, 22731, 1290, 545, 3203, 4373, 24314, 13371, 1148, 4016, 547, 2168, 12383, 2813, 676, 5159, 4481, 585, 8313, 1369, 13371, 2835, 269, 1452, 4773, 4865, 7915, 7499, 20519, 3564, 6071, 12093, 267, 5356, 12439, 3255, 547, 5660, 23477, 543, 3860, 3157, 3238, 269, 31838, 3344, 17663, 1384, 265, 2878, 303, 523, 4290, 4787, 564, 2583, 5093, 681, 965, 31585, 24152, 1915, 6272, 267, 29282, 267, 543, 5888, 531, 5079, 18631, 3803, 13504, 12400, 563, 265, 2878, 1103, 330, 539, 7754, 1564, 5093, 4347, 514, 1438, 8747, 10023, 6946, 3877, 4547, 827, 998, 13504, 3498, 267, 12212, 6220, 1216, 3712, 832, 610, 824, 2923, 563, 265, 2878, 10870, 951, 5093, 5776, 29671, 10367, 610, 6404, 2173, 4215, 1568, 20206, 6819, 9759, 540, 8659, 8941, 267, 13830, 3007, 9624, 22125, 3377, 1056, 21684, 780, 8624, 22162, 3312, 13371, 1148, 3091, 15889, 4296, 547, 5172, 2984, 543, 15888, 267, 5807, 4514, 7071, 585, 3308, 9423, 2553, 6964, 2429, 13371, 1686, 780, 1262, 4089, 476, 275, 281, 8490, 2659, 14635, 29216, 569, 4373, 2691, 5887, 1005, 883, 519, 1158, 540, 25447, 14676, 543, 3312, 13371, 1148, 4015, 267, 2015, 891, 2994, 1384, 265, 2878, 10932, 4995, 5530, 7376, 22808, 267, 21101, 267, 791, 29251, 267, 11964, 267, 543, 1883, 1650, 9095, 338, 13057, 5483, 3664, 3823, 4203, 29792, 563, 265, 2878, 289, 644, 1326, 532, 4995, 19372, 2312, 6578, 6724, 19086, 791, 14601, 16306, 23630, 21248, 2200, 563, 265, 2878, 15187, 11529, 4995, 18918, 8284, 19216, 3842, 15731, 267, 2228, 15473, 267, 14908, 267, 3092, 1421, 4687, 4030, 543, 9750, 2123, 5121, 563, 265, 2878, 15430, 3569, 4995, 7435, 548, 9715, 16782, 609, 1416, 1210, 31150, 2326, 17420, 15325, 282, 4558, 14013, 6236, 2825, 2175, 20009, 547, 1279, 3856, 5826, 780, 3528, 12561, 3743, 2853, 267, 13730, 19216, 11349, 11972, 3347, 609, 19644, 22590, 8272, 337, 1681, 6626, 10593, 1369, 2442, 2528, 8658, 780, 1262, 4089, 476, 276, 281, 7351, 10369, 12367, 543, 8892, 18370, 11072, 4373, 17457, 2486, 22168, 24567, 1719, 538, 21305, 14676, 543, 3312, 13371, 1148, 267, 9141, 14356, 676, 19911, 28101, 543, 6284, 540, 26173, 9739, 1369, 13416, 13629, 269, 10765, 7835, 20838, 10083, 540, 10114, 3293, 10070, 1384, 265, 2878, 288, 25934, 19475, 4995, 4400, 3491, 12803, 6455, 10099, 4221, 2594, 31771, 5515, 24901, 13455, 3747, 585, 4686, 15013, 269, 7151, 281, 29055, 26135, 1948, 1428, 630, 8967, 3187, 5336, 534, 781, 1101, 5920, 264, 7691, 1269, 272, 269, 272, 2929, 538, 476, 1708, 272, 563, 265, 2878, 16954, 9177, 16949, 4995, 14119, 566, 540, 13371, 4798, 2066, 1585, 23447, 910, 9413, 267, 7641, 2982, 267, 3381, 3756, 267, 23335, 2358, 910, 28511, 15287, 543, 27559, 540, 2707, 1570, 563, 265, 2878, 291, 1392, 2305, 4995, 28841, 540, 3309, 6041, 1369, 17082, 887, 9094, 10240, 9094, 13784, 267, 19788, 4195, 15295, 16649, 2176, 8508, 4244, 5380, 780, 2026, 5145, 1782, 513, 5402, 26940, 25819, 540, 25447, 14676, 543, 3312, 13371, 1148, 2636, 2043, 547, 7119, 538, 2713, 1686, 267, 882, 5109, 12716, 5898, 1247, 5732, 3854, 1944, 2390, 2104, 2208, 16548, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2710, 596, 1616, 547, 2119, 1945, 1114, 585, 513, 1689, 286, 1403, 602, 568, 519, 2013, 267, 1287, 972, 616, 1082, 3681, 2139, 563, 2252, 596, 616, 711, 5461, 538, 5026, 610, 9205, 2238, 267, 1287, 1946, 1810, 1406, 596, 1491, 909, 606, 8966, 15908, 799, 786, 948, 596, 1451, 1007, 1919, 543, 1118, 707, 2634, 960, 9875, 563, 6701, 596, 2576, 945, 21593, 7836, 942, 676, 3054, 286, 1403, 865, 267, 972, 568, 513, 1434, 4960, 602, 596, 723, 930, 12348, 269, 20122, 9812, 616, 2238, 538, 799, 1004, 1491, 851, 585, 741, 1378, 12257, 543, 18399, 563, 5445, 2039, 689, 519, 2757, 971, 607, 2542, 267, 10068, 267, 610, 12202, 547, 1454, 811, 8966, 1919, 899, 2679, 11647, 610, 10655, 6474, 9248, 269, 3371, 649, 786, 1865, 476, 736, 20868, 543, 8748, 12348, 912, 12749, 476, 2190, 1133, 639, 783, 20122, 9812, 476, 1708, 275, 454, 272, 269, 29892, 18521, 1901, 10632, 912, 2252, 29400, 689, 1483, 1272, 4992, 13267, 1287, 9101, 3756, 1223, 581, 1175, 1018, 596, 4076, 1044, 3168, 585, 256, 4746, 1634, 607, 968, 6674, 539, 4055, 892, 13410, 267, 713, 1106, 540, 9913, 3322, 5171, 6061, 513, 3126, 540, 13410, 543, 2591, 538, 1931, 547, 1265, 10881, 28624, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 4888, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 22383, 1315, 1290, 545, 3883, 3203, 7880, 10904, 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, 280, 281, 1133, 30584, 532, 519, 25491, 910, 32081, 13909, 692, 5331, 596, 723, 513, 9649, 11015, 1500, 909, 540, 6634, 540, 6263, 4773, 256, 16319, 7543, 547, 2322, 1927, 267, 1318, 286, 1809, 1018, 952, 594, 5143, 596, 602, 3744, 616, 3257, 1175, 602, 1169, 1554, 267, 1152, 3079, 540, 13410, 267, 789, 2811, 2324, 609, 1945, 1572, 25450, 286, 589, 11646, 568, 899, 606, 11248, 781, 6044, 27412, 1107, 621, 3568, 782, 519, 1344, 2877, 585, 2679, 543, 4509, 602, 1272, 1106, 269, 3807, 607, 1142, 1268, 814, 513, 2189, 1305, 540, 9416, 21646, 267, 1169, 2713, 3364, 814, 922, 1378, 3982, 4719, 17539, 269, 1924, 1577, 781, 4685, 883, 519, 4241, 1158, 540, 11646, 10198, 2439, 5575, 267, 1577, 781, 2736, 1524, 930, 2474, 1384, 265, 2878, 7049, 727, 4995, 1323, 11248, 781, 2347, 1305, 540, 5027, 267, 1519, 782, 922, 6090, 269, 6056, 540, 621, 607, 606, 11999, 29685, 5627, 5528, 585, 3388, 689, 3750, 2681, 547, 875, 2281, 1599, 563, 265, 2878, 2026, 12273, 4995, 32027, 1927, 519, 16559, 11353, 540, 4719, 1570, 630, 19091, 9696, 264, 547, 1711, 513, 23887, 4605, 540, 606, 3003, 11646, 269, 898, 781, 899, 6061, 513, 7372, 11015, 2439, 3086, 267, 4952, 1079, 1360, 2147, 2010, 540, 9493, 6814, 267, 1634, 607, 15762, 10420, 3912, 806, 6147, 6665, 23706, 543, 15762, 10420, 3912, 806, 19433, 639, 269, 1358, 2811, 3833, 1114, 2899, 596, 1413, 5702, 267, 855, 693, 1101, 16145, 267, 789, 3100, 7168, 7567, 269, 12207, 4941, 547, 1174, 741, 3604, 1732, 267, 865, 789, 3323, 3168, 693, 741, 25450, 269, 5080, 21215, 267, 9983, 256, 2368, 2694, 540, 891, 9493, 6814, 262, 25450, 941, 552, 518, 1176, 5432, 267, 3592, 607, 952, 789, 3357, 689, 1142, 824, 256, 901, 7613, 568, 1572, 1412, 842, 5766, 1833, 9538, 692, 4504, 5766, 11306, 2049, 950, 972, 781, 1044, 930, 2220, 6260, 540, 4719, 1570, 1063, 1079, 5094, 2249, 269, 16514, 1079, 15231, 10034, 1141, 1004, 3006, 1847, 1394, 543, 8521, 267, 8744, 2059, 1007, 9821, 267, 10346, 267, 610, 5389, 269, 3683, 942, 267, 1312, 2950, 1376, 4687, 1978, 7592, 1256, 1498, 789, 8385, 20705, 547, 1152, 835, 1895, 269, 2334, 781, 9247, 1018, 4523, 1282, 703, 5766, 1833, 780, 3719, 1946, 1281, 713, 2339, 286, 4270, 267, 1620, 703, 5766, 1833, 666, 948, 721, 1451, 827, 9265, 267, 9542, 267, 543, 12105, 3347, 1851, 1585, 2249, 269, 769, 938, 9493, 7360, 2828, 267, 891, 15377, 1522, 2491, 1946, 930, 12490, 616, 2182, 1512, 267, 1332, 5488, 267, 610, 7639, 1732, 896, 17173, 2175, 780, 3383, 267, 875, 798, 3744, 4137, 856, 1141, 891, 25098, 540, 4914, 5027, 2097, 689, 286, 1635, 9236, 6266, 540, 5439, 1996, 4704, 25450, 267, 3173, 666, 5544, 3270, 543, 1294, 945, 4547, 1018, 547, 519, 3349, 269, 4495, 789, 1265, 1346, 11371, 24851, 4773, 267, 789, 5402, 19173, 873, 883, 1747, 1369, 519, 2949, 11646, 4786, 780, 4913, 267, 1919, 5749, 1405, 2141, 5347, 22892, 269, 6884, 267, 950, 1079, 1114, 25450, 2743, 267, 789, 1810, 1405, 1404, 23182, 1927, 269, 20668, 540, 519, 5916, 11646, 949, 1831, 18633, 267, 3056, 547, 20868, 1350, 9662, 610, 6959, 269, 1677, 4368, 713, 267, 2281, 1419, 18992, 547, 1818, 1804, 6810, 540, 519, 6404, 11646, 9838 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1158, 2112, 13797, 2687, 547, 8387, 1224, 811, 563, 23219, 2986, 476, 8687, 273, 7335, 8018, 3973, 789, 3576, 741, 1747, 538, 1899, 2542, 936, 519, 3046, 13069, 826, 10624, 593, 519, 2427, 540, 513, 6288, 539, 1426, 14903, 621, 729, 602, 2186, 540, 12784, 693, 1025, 611, 839, 7921, 1216, 12506, 6288, 593, 2893, 584, 1485, 607, 513, 32531, 1228, 540, 2112, 540, 594, 4397, 4986, 1447, 1310, 2542, 1010, 959, 559, 9609, 593, 519, 8087, 2829, 4108, 513, 2663, 3801, 547, 1491, 28492, 538, 519, 2112, 540, 849, 1558, 609, 14710, 6028, 621, 16119, 538, 519, 15896, 540, 1390, 2060, 519, 9868, 540, 519, 737, 17671, 2112, 782, 540, 891, 10617, 4607, 2901, 513, 6101, 18322, 1308, 17083, 540, 2112, 519, 2112, 540, 519, 30067, 4618, 7819, 2112, 676, 18322, 543, 711, 4988, 538, 713, 563, 5226, 582, 1256, 952, 596, 1810, 512, 2972, 2542, 827, 678, 17892, 607, 1454, 607, 1775, 798, 1775, 1654, 1224, 3388, 723, 17411, 8370, 2101, 7526, 519, 579, 521, 814, 1044, 3238, 538, 689, 519, 2112, 540, 547, 519, 642, 28126, 2112, 9889, 519, 12079, 6053, 1634, 607, 519, 3084, 4879, 540, 3872, 3356, 610, 14255, 788, 519, 1239, 2992, 519, 2164, 540, 2542, 543, 2979, 4255, 13950, 519, 7819, 4838, 538, 1101, 3446, 519, 2112, 540, 769, 991, 540, 4832, 2542, 3915, 19235, 814, 930, 1010, 1719, 538, 519, 642, 28126, 2112, 3366, 1864, 547, 713, 1433, 538, 799, 519, 2278, 12116, 875, 27504, 723, 17411, 5216, 2101, 7526, 519, 2112, 540, 563, 10144, 5461, 538, 2782, 2986, 476, 8687, 273, 7335, 8018, 849, 22646, 585, 10778, 23219, 2986, 476, 8687, 273, 7335, 8018, 269, 634, 4976, 568, 606, 25819, 540, 476, 275, 10578, 18697, 602, 786, 3986, 707, 4819, 781, 1702, 543, 5759, 269, 634, 3211, 616, 6035, 538, 1646, 958, 3617, 8747, 585, 3214, 540, 1114, 6502, 269, 17006, 543, 18946, 9981, 3211, 538, 1082, 9832, 1519, 513, 1297, 540, 5079, 585, 24324, 946, 563, 2791, 666, 2253, 609, 519, 26627, 27664, 17400, 1161, 543, 1310, 602, 1847, 4464, 609, 519, 27608, 17400, 1161, 269, 29986, 585, 3214, 786, 849, 581, 2864, 2241, 547, 1020, 538, 971, 513, 6752, 269, 1403, 596, 2811, 606, 2937, 543, 6999, 547, 2333, 707, 13002, 267, 621, 666, 581, 12913, 269, 1306, 513, 1267, 267, 538, 519, 2680, 602, 596, 2731, 6999, 547, 3986, 13002, 540, 707, 4819, 267, 31657, 547, 2263, 519, 5383, 540, 606, 10995, 1565, 1907, 1631, 2336, 13706, 875, 596, 6999, 547, 17492, 707, 4357, 5132, 3948, 269, 6884, 5022, 723, 547, 581, 14661, 547, 3514, 538, 513, 1880, 2230, 269, 1879, 513, 4484, 1281, 711, 723, 1022, 7299, 338, 899, 513, 3854, 589, 610, 966, 267, 519, 1360, 1101, 15497, 8482, 568, 9833, 607, 519, 6565, 269, 634, 4448, 543, 1793, 5896, 5022, 786, 581, 3833, 2241, 547, 1106, 2899, 519, 1082, 5546, 556, 19927, 1134, 269, 4634, 1945, 607, 2653, 607, 27378, 519, 4098, 4484, 540, 1279, 1913, 666, 4217, 707, 1126, 2087, 1010, 18551, 5759, 269, 2782, 2986, 476, 8687, 273, 7335, 8018, 563, 2467, 3884, 1405, 4376, 899, 513, 24077, 1650, 267, 543, 4986, 899, 1373, 519, 1268, 945, 3323, 513, 12021, 4683, 10828, 269, 5463, 4575, 2390, 519, 4998, 1935, 8905, 595, 27641, 1603, 568, 10416, 8678, 5346, 13002, 269, 6657, 2542, 676, 3054, 607, 1419, 607, 2009, 563, 10932, 4683, 17691, 547, 3489, 513, 1523, 540, 1018, 781, 856, 972, 1991, 547, 1818, 513, 1007, 835, 269, 1411, 616, 1869, 711, 2386, 519, 18119, 723, 519, 1697, 2856, 269, 28900, 267, 596, 4465, 1405, 946, 519, 5354, 540, 707, 2093, 269, 1403, 596, 4312, 3893, 606, 2856, 585, 513, 1907, 5225, 1217, 721, 269, 2334, 1797, 596, 666, 2253, 1318, 1141, 596, 616, 1100, 2339, 875, 2370, 596, 1522, 1745, 596, 4312, 3893, 547, 2285, 269, 1411, 616, 849, 3833, 19035, 540, 1022, 12316, 6521, 269, 769, 4505, 2053, 596, 4312, 7150, 602, 519, 1847, 540, 7115, 949, 581, 1932, 2038, 563, 10376, 3992, 538, 13002, 1058, 1376, 593, 513, 4195, 1007, 2985, 267, 865, 519, 2370, 835, 3587, 2614, 4055, 547, 2259, 269, 5272, 13002, 3992, 1058, 2253, 609, 519, 26897, 269, 29986, 1565, 568, 1175, 835, 540, 519, 1034, 1271, 1565, 2115, 540, 513, 4819, 269, 4804, 875, 547, 1224, 3884, 1405, 1175, 4101, 267, 855, 1187, 1932, 563, 763, 946, 540, 21870, 634, 946, 540, 21870, 568, 4105, 538, 15980, 707, 1126, 1451, 547, 13724, 13002, 269, 4746, 267, 7703, 538, 2247, 602, 6148, 707, 1360, 1101, 2119, 693, 23730, 949, 711, 3142, 4376, 4143, 267, 855, 1810, 1405, 3247, 3843, 269, 4495, 596, 616, 2111, 547, 960, 267, 596, 1522, 581, 14281, 875, 1454, 596, 1205, 2944, 269, 6875, 883, 7156, 875, 596, 1745, 827, 3054, 269, 15775, 2111, 547, 12189, 519, 9477, 2337, 3514, 811, 5022, 538, 513, 2370, 2230, 610, 3262, 856, 5022, 952, 789, 2811, 1932, 9395, 269, 12344, 596, 1590, 21821, 519, 5351, 540, 1776, 812, 547, 5000, 610, 948, 596, 1832, 5059, 563, 23219, 2986, 476, 8687, 273, 7335, 8018, 269, 8347, 547, 3314, 267, 596, 2141, 723, 547, 1416, 585, 707, 1126, 609, 5863, 1416, 267, 8296, 543, 15754, 547, 581, 2111, 547, 948, 1864, 1451, 269, 1411, 949, 849, 2307, 707, 4819, 781, 4116, 585, 3063, 3211, 269, 2659, 5067, 610, 8250, 568, 711, 2469, 547, 1175, 1451, 513, 1114, 4990, 540, 13944, 855, 538, 1840, 1451, 875, 547, 2328, 12461, 14688, 1317, 25777, 1603, 568, 3833, 4190, 547, 2638, 856, 269, 1306, 513, 1267, 267, 952, 513, 4819, 568, 2907, 7092, 689, 11838, 1010, 13002, 786, 9090, 581, 4299, 269, 22353, 267, 547, 581, 2111, 547, 9585, 713, 267, 952, 1453, 616, 6026, 547, 1106, 1114, 5546, 538, 513, 5078, 6752, 267, 621, 568, 2469, 547, 5512, 873, 547, 17492, 519, 5022, 538, 513, 2731, 5347, 543, 2653, 1505, 269, 4014, 621, 666, 581, 20036, 1169, 942, 513, 27344, 3081, 646, 2196, 2740, 593, 519, 19209, 267, 1053, 1616, 547, 1174, 875, 547, 946, 2250, 13029, 865, 607, 547, 3717, 543, 2328, 7157, 269, 2913, 2161, 267, 596, 1131, 899, 547, 5818, 707, 5067, 781, 610, 8250, 781, 13002, 267, 621, 568, 855, 6654, 602, 596, 1616, 547, 2285, 707, 5067, 610, 8250, 7899, 540, 2259, 267, 607, 789, 2161, 267, 2259, 2306, 3501, 563, 21413, 18551, 1983, 267, 621, 781, 3592, 7543, 267, 2523, 585, 3214, 267, 547, 1451, 875, 547, 1224, 1007, 1913, 269, 9828, 547, 7435, 548, 23206, 12983, 898, 568, 5393, 1898, 602, 1058, 596, 3605, 707, 4819, 568, 538, 3430, 550, 633, 547, 1010, 1565, 2523, 950, 621, 814, 547, 798, 609, 2542, 543, 1603, 2152, 596, 1590, 2253, 2324, 593, 1585, 2081, 543, 547, 2087, 621, 269, 2422, 513, 2875, 781, 2012, 538, 1169, 4845, 865, 972, 781, 513, 2582, 4845, 585, 1142, 4819, 269, 5221, 646, 610, 1352, 16137, 693, 1010, 1378, 2557, 267, 972, 568, 930, 13260, 538, 519, 2085, 950, 513, 1126, 568, 4712, 547, 1451, 547, 1224, 269, 9752, 707, 4819, 547, 1106, 519, 26897, 568, 3833, 513, 7294, 2259, 563, 30475, 281, 1948, 24030, 2486, 3211, 258, 11825, 1014, 575, 5285, 2112, 3211, 258, 6202, 1145, 2790, 1072, 3211, 258, 323, 565, 2917, 14834, 2581, 3211, 258, 1492, 7819, 4838, 3211, 258, 9071, 1712, 6532, 3211, 258, 1492, 887, 2130, 1000, 550, 625, 3211, 258, 1492, 13009, 540, 17229, 3211, 258, 339, 805, 344, 540, 1368, 611, 2728, 701, 554, 10537, 2998, 3211, 258, 22022, 13314, 3211, 0, 268, 10395, 595, 10984, 545, 2528, 454, 281, 257, 303, 527, 4211, 4861, 654, 732, 2528, 28570, 338, 1934, 269, 1280, 519, 4207, 630, 8619, 269, 476, 17168, 271, 268, 15996, 271, 7460, 264, 32090, 2528, 609, 513, 2147, 2012, 1294, 454, 303, 26860, 654, 732, 2528, 1701, 763, 10395, 595, 10984, 545, 9177, 610, 16381, 4211, 4861, 654, 732, 2528, 729, 513, 22583, 3864, 6149, 2085, 2528, 269, 898, 11478, 689, 1472, 476, 22213, 271, 7460, 547, 1472, 476, 1220, 271, 7460, 269, 634, 2012, 568, 6508, 689, 519, 1034, 1455, 1826, 540, 23732, 593, 922, 23907, 267, 799, 5654, 899, 519, 791, 29251, 540, 513, 2036, 563, 763, 3892, 540, 519, 13742, 1336, 2882, 454, 293, 4883, 5658, 263, 16157, 264, 538, 519, 5087, 267, 519, 17833, 1460, 5211, 263, 13785, 264, 543, 519, 13323, 540, 5637, 11844, 263, 18940, 264, 538, 519, 7178, 543, 519, 966, 626, 3121, 5211, 630, 12996, 264, 538, 519, 5045, 563, 1103, 519, 7532, 519, 10395, 595, 10984, 545, 20341, 540, 32720, 454, 305, 1380, 3554, 1120, 525, 609, 513, 27795, 540, 2147, 17375, 6163, 8151, 2509, 519, 772, 1537, 10239, 563, 2005, 1131, 1331, 519, 454, 301, 541, 9366, 2528, 1993, 6480, 8205, 663, 519, 590, 704, 337, 902, 2528, 514, 18940, 267, 1851, 1866, 269, 1358, 616, 2219, 547, 723, 1044, 9247, 25433, 3766, 520, 1877, 3464, 267, 1498, 552, 3052, 269, 519, 23902, 9366, 2528, 538, 26403, 807, 2982, 930, 2963, 540, 6683, 563, 5278, 540, 713, 3148, 729, 12842, 676, 519, 2663, 24778, 539, 654, 732, 16880, 563, 763, 23907, 2874, 540, 1804, 17428, 602, 616, 17031, 610, 11329, 2630, 267, 609, 513, 4390, 689, 476, 2412, 547, 476, 2568, 30184, 269, 634, 3029, 540, 519, 8043, 7283, 24240, 855, 519, 23732, 9867, 563, 3528, 6580, 2687, 547, 519, 15038, 540, 2244, 267, 519, 23907, 723, 12926, 630, 383, 482, 10455, 7564, 335, 7564, 7564, 476, 4350, 271, 264, 1044, 5258, 883, 519, 1739, 5712, 281, 834, 22022, 257, 630, 298, 320, 594, 267, 1309, 454, 22213, 271, 7460, 268, 1309, 476, 20065, 271, 7460, 1070, 834, 20200, 673, 257, 630, 298, 320, 4083, 267, 1309, 476, 20065, 271, 7460, 268, 1309, 476, 17734, 271, 7460, 264, 543, 834, 17218, 10395, 595, 10984, 545, 257, 630, 298, 320, 8633, 267, 1309, 476, 18231, 271, 7460, 268, 1309, 476, 1220, 271, 7460, 1916, 4913, 267, 26215, 730, 28650, 7389, 585, 519, 10395, 654, 732, 15998, 1336, 552, 3052, 269, 538, 519, 918, 28328, 1014, 568, 628, 16443, 2285, 513, 2698, 8884, 540, 476, 28794, 271, 7460, 910, 476, 15996, 271, 7460, 9497, 10481, 5255, 1258, 2210, 6319, 257, 5292, 269, 476, 2537, 267, 6032, 476, 11152, 268, 4200, 267, 476, 1220, 275, 1916, 16449, 519, 1082, 6163, 540, 16381, 4211, 4861, 16292, 972, 568, 835, 799, 2306, 946, 540, 519, 4162, 540, 454, 553, 17937, 281, 1306, 17937, 16292, 269, 4033, 6163, 616, 552, 3052, 269, 12877, 515, 839, 2830, 320, 267, 808, 7564, 330, 7564, 337, 331, 7564, 267, 918, 1512, 1731, 7288, 543, 590, 7564, 337, 7564, 529, 14269, 655, 328, 20341, 609, 741, 9757, 30834, 2888, 269, 590, 704, 337, 902, 23907, 568, 519, 3312, 2012, 2016, 585, 519, 834, 9767, 978, 518, 2038, 10395, 16292, 257, 630, 298, 320, 594, 281, 273, 264, 1336, 538, 18940, 563, 763, 17260, 941, 4092, 693, 4262, 24528, 610, 22290, 12647, 543, 519, 4346, 729, 1759, 593, 10122, 267, 10068, 543, 519, 11018, 540, 2371, 269, 769, 454, 19226, 1633, 267, 621, 729, 513, 17535, 2528, 799, 2968, 811, 543, 811, 2027, 2213, 538, 10122, 20910, 269, 634, 8789, 23029, 729, 4440, 513, 751, 324, 701, 324, 1993, 827, 476, 1789, 4009, 7397, 1141, 930, 476, 1428, 1004, 1223, 2661, 269, 3400, 1407, 941, 25653, 693, 519, 17260, 543, 519, 4666, 941, 4988, 609, 2699, 522, 577, 516, 269, 634, 6093, 10395, 595, 10984, 545, 2085, 2982, 606, 3573, 946, 540, 3615, 1500, 540, 1166, 842, 663, 993, 828, 553, 18205, 17008, 563, 763, 6149, 2645, 4957, 1360, 2370, 936, 942, 269, 1358, 941, 1500, 540, 2199, 2326, 971, 607, 454, 16435, 622, 663, 21247, 269, 4855, 338, 2303, 513, 9425, 3573, 5385, 3060, 281, 2699, 1793, 622, 23608, 689, 7187, 22778, 807, 267, 20702, 689, 8235, 590, 2727, 12711, 267, 3039, 1793, 622, 689, 8235, 2290, 8615, 267, 993, 828, 689, 519, 7013, 24528, 540, 519, 27397, 7256, 663, 1166, 842, 689, 519, 4406, 323, 2967, 1858, 538, 32720, 6576, 563, 763, 2528, 729, 27537, 676, 1507, 19562, 1149, 540, 26151, 10036, 543, 3662, 9843, 1500, 540, 6149, 269, 634, 3662, 9843, 2356, 6813, 4779, 846, 543, 12217, 543, 941, 6508, 689, 519, 1148, 540, 519, 454, 300, 525, 18070, 269, 1703, 941, 849, 1082, 4224, 10367, 563, 2005, 568, 32424, 602, 519, 10395, 654, 732, 1004, 12038, 513, 772, 1537, 545, 1893, 543, 941, 21530, 25600, 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 ]
[ 1350, 3496, 693, 519, 9206, 780, 3086, 1577, 781, 2911, 827, 1776, 2565, 2460, 910, 2504, 269, 11628, 12227, 2337, 3132, 5812, 2164, 267, 4180, 1169, 9206, 10742, 519, 5551, 4441, 269, 1635, 9256, 5969, 12967, 4066, 543, 4274, 23477, 267, 9755, 666, 10018, 1164, 7779, 17514, 602, 2063, 3476, 982, 14949, 8925, 780, 3383, 267, 1946, 1058, 4213, 1902, 942, 543, 2200, 883, 2870, 11141, 10229, 17514, 286, 4270, 267, 1934, 616, 1614, 4128, 1384, 272, 269, 5900, 847, 23206, 281, 24761, 4778, 543, 3350, 7001, 938, 4064, 6923, 269, 589, 21825, 5116, 9206, 666, 2721, 8049, 5561, 2509, 513, 4558, 610, 1630, 1054, 563, 273, 269, 9523, 6176, 31418, 1176, 281, 6787, 3045, 23395, 513, 9042, 610, 5009, 6216, 4656, 267, 17514, 1683, 2656, 543, 2500, 2792, 9055, 563, 274, 269, 8779, 7232, 8997, 16373, 15484, 281, 22702, 547, 824, 30572, 2409, 630, 3697, 7641, 5010, 338, 610, 2228, 18537, 1070, 17514, 1942, 1447, 855, 1869, 5838, 1713, 1764, 780, 1103, 3932, 267, 10229, 17514, 1404, 606, 7533, 1909, 538, 2413, 6725, 11044, 1813, 547, 741, 26622, 267, 17545, 267, 543, 3308, 9029, 269, 2060, 6297, 7156, 2016, 547, 1570, 5542, 267, 1374, 2609, 267, 543, 5663, 3157, 267, 4213, 666, 10244, 519, 1379, 540, 17514, 547, 3914, 1761, 5561, 3927, 269, 1306, 1167, 518, 940, 6800, 267, 1620, 875, 891, 9583, 2241, 3688, 3565, 547, 513, 3677, 6725, 4640, 2636, 721, 547, 5660, 519, 2219, 6888, 3297, 1142, 5951, 543, 32022, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3832, 777, 10229, 9206, 18961, 7315, 808, 1301, 5622, 25035, 3213, 1421, 13456, 269, 7472, 10464, 10229, 9206, 609, 25368, 4162, 3379, 547, 824, 2147, 2472, 538, 519, 2344, 269, 32493, 6151, 2326, 616, 835, 2596, 22059, 540, 519, 1587, 2298, 269, 3962, 1587, 568, 1500, 540, 1134, 5498, 21124, 2326, 269, 5047, 267, 519, 10073, 540, 3810, 4359, 6191, 267, 1533, 6361, 7308, 19603, 2553, 267, 543, 10427, 23477, 1118, 519, 1587, 581, 540, 1164, 2298, 543, 1279, 3028, 1272, 563, 8698, 2859, 3436, 11417, 297, 1301, 5622, 10464, 10229, 9206, 634, 10464, 10229, 9206, 568, 513, 1434, 6952, 538, 519, 2344, 269, 4595, 9250, 267, 519, 1587, 814, 4465, 538, 947, 656, 9299, 2478, 585, 922, 5920, 543, 1164, 2773, 269, 1284, 723, 6964, 3318, 9858, 945, 616, 2511, 23655, 2141, 5329, 21130, 519, 1374, 1184, 269, 898, 7140, 856, 741, 3646, 6368, 3893, 6976, 269, 769, 1840, 267, 1210, 519, 1101, 268, 3433, 2326, 543, 12561, 519, 5767, 4359, 2029, 267, 519, 1587, 17993, 922, 21239, 585, 922, 15006, 543, 1164, 2298, 269, 30541, 2358, 2680, 4870, 23534, 267, 324, 1203, 1596, 334, 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, 8080, 547, 519, 4241, 1158, 540, 519, 23825, 2872, 256, 901, 568, 513, 5823, 602, 9388, 609, 3388, 1644, 547, 2011, 2951, 267, 1519, 8888, 267, 2679, 267, 9513, 267, 543, 4509, 782, 2010, 540, 8484, 269, 3245, 5010, 14742, 602, 4163, 7366, 540, 15915, 547, 1507, 4357, 32062, 1031, 676, 4213, 267, 789, 2811, 782, 851, 540, 713, 6909, 2872, 269, 4653, 267, 1577, 781, 4685, 883, 875, 519, 23825, 2872, 12969, 338, 609, 1870, 543, 9297, 267, 4481, 3168, 693, 1870, 32062, 780, 5331, 596, 1378, 513, 3811, 2754, 267, 543, 707, 5520, 991, 547, 3643, 7218, 4092, 2484, 2476, 4749, 269, 5502, 540, 2348, 873, 6108, 3108, 593, 2834, 19426, 610, 4308, 609, 1279, 3515, 693, 11112, 29032, 267, 1018, 952, 972, 729, 1776, 4781, 286, 2334, 781, 1141, 1870, 32062, 2097, 538, 1107, 891, 616, 16887, 2966, 14742, 5921, 547, 3560, 7864, 1004, 630, 17141, 1175, 513, 19625, 264, 1360, 7561, 543, 20354, 269, 1358, 666, 8038, 883, 4130, 29032, 6251, 547, 741, 18353, 267, 9494, 942, 543, 3246, 13418, 269, 3767, 267, 1577, 781, 2263, 945, 2306, 891, 14742, 543, 1018, 519, 2104, 6585, 585, 713, 10126, 540, 519, 23825, 2872, 780, 3080, 2101, 6345, 538, 519, 1870, 15191, 2344, 568, 26006, 6202, 17224, 18209, 269, 5272, 1032, 267, 789, 5305, 513, 1867, 1572, 519, 834, 17471, 6355, 28645, 31326, 2437, 799, 25221, 3466, 543, 6455, 5515, 585, 1870, 32062, 5001, 269, 4340, 547, 741, 5767, 19773, 267, 621, 4667, 602, 1919, 1522, 581, 4657, 1813, 547, 930, 2188, 7133, 11615, 11451, 269, 2913, 781, 2736, 1524, 1018, 602, 1797, 780, 5575, 267, 1577, 781, 2911, 827, 1945, 1572, 513, 834, 338, 869, 2208, 2804, 1604, 1701, 1548, 1281, 602, 1611, 4010, 286, 4270, 267, 950, 1034, 2477, 1995, 14887, 2804, 2208, 982, 8912, 1765, 3697, 950, 3549, 5749, 1405, 1818, 607, 1454, 2724, 610, 1004, 5749, 1405, 9140, 607, 1082, 5370, 543, 2533, 22924, 5540, 3025, 3238, 269, 6056, 1394, 547, 938, 1383, 4505, 282, 952, 4213, 5749, 1405, 3257, 1134, 20019, 267, 789, 1522, 2759, 1394, 593, 9276, 971, 607, 1210, 1870, 32062, 585, 9441, 2951, 269, 1924, 267, 1256, 1498, 972, 786, 1869, 581, 513, 3747, 585, 1870, 32062, 267, 621, 1223, 581, 1447, 982, 3105, 1296, 1317, 540, 713, 3500, 6658, 538, 2949, 2804, 2534, 780, 3086, 267, 1577, 781, 1413, 693, 930, 2338, 689, 26006, 6202, 17224, 18209, 781, 2487, 1867, 269, 9737, 1631, 543, 476, 1708, 276, 267, 789, 7447, 602, 909, 547, 476, 280, 267, 1220, 1007, 1870, 32062, 1223, 581, 4421, 5001, 269, 2334, 4992, 899, 513, 2603, 267, 1318, 286, 1809, 1934, 781, 1141, 1919, 1205, 4277, 281, 3379, 547, 741, 12605, 1500, 2063, 1032, 267, 713, 1297, 4564, 513, 6175, 540, 476, 274, 260, 547, 476, 276, 10065, 2755, 602, 1522, 711, 3100, 5458, 267, 3314, 602, 1346, 6871, 2798, 2099, 5732, 5215, 540, 1367, 7077, 6455, 256, 1924, 1946, 1131, 972, 581, 513, 6749, 538, 10567, 6455, 2496, 2467, 616, 1896, 4128, 3297, 713, 1689, 267, 855, 835, 1713, 3815, 814, 547, 798, 609, 1978, 4525, 7680, 2539, 7569, 585, 1870, 32062, 269, 1280, 3236, 267, 5103, 1373, 1634, 607, 513, 3395, 2344, 585, 18229, 267, 8478, 814, 1044, 2469, 998, 4101, 2053, 5063, 269, 11572, 16132, 543, 824, 2152, 723, 3361, 1761, 18046, 547, 1589, 7466, 1354, 10115, 538, 513, 1007, 1870, 15191, 269, 1306, 513, 1267, 267, 9753, 543, 5838, 625, 540, 891, 14742, 538, 8478, 543, 2147, 6990, 1522, 7985, 538, 519, 2110, 2165, 780, 4913, 267, 972, 781, 2141, 513, 8988, 16298, 256, 4634, 1498, 930, 2127, 1397, 4389, 1719, 538, 16565, 1007, 1870, 32062, 267, 1866, 1294, 2799, 5092, 538, 2413, 1944, 543, 7393, 4540, 3283, 269, 7358, 2209, 616, 7446, 547, 22010, 741, 1699, 7904, 1115, 3079, 540, 9140, 1007, 3283, 267, 3226, 3823, 2029, 543, 14479, 2934, 269, 1635, 5355, 2792, 1949, 20829, 891, 32062, 267, 3549, 2327, 602, 741, 26933, 3251, 4448, 609, 9164, 543, 1920, 2818, 1282, 741, 12599, 269, 9578, 267, 21130, 3937, 8952, 4587, 14742, 10930, 543, 811, 3608, 267, 14178, 741, 14438, 543, 2870, 3606, 1870, 3255, 1369, 519, 23825, 2872, 780, 1103, 3932, 267, 519, 23825, 2872, 4249, 513, 4105, 1909, 538, 8220, 1004, 543, 4213, 5001, 998, 1585, 3029, 540, 6283, 267, 1519, 1870, 32062, 269, 9282, 5007, 2188, 666, 3310, 6455, 11236, 543, 3747, 267, 10124, 543, 7760, 16111, 3337, 713, 6422, 2361, 269, 6787, 621, 781, 30015, 8484, 609, 5969, 12967, 2029, 610, 9750, 1569, 547, 6552, 6753, 267, 519, 23825, 2872, 3788, 1312, 1898, 543, 17938, 1791, 908, 607, 621, 27372, 7258, 938, 2479, 19145, 1158, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2026, 513, 3500, 2208, 2804, 1604, 3217, 3180, 2066, 1082, 2518, 6990, 267, 519, 1870, 18229, 2872, 568, 711, 4761, 547, 922, 1764, 269, 769, 922, 476, 2190, 628, 5993, 6820, 6355, 28645, 31326, 5950, 2221, 267, 26006, 6202, 17224, 18209, 23004, 909, 547, 476, 280, 267, 1220, 1007, 1870, 15191, 5838, 625, 4502, 1269, 17734, 5479, 689, 476, 1001, 276, 547, 476, 1708, 276, 267, 609, 513, 476, 274, 547, 476, 276, 2600, 5786, 936, 519, 1871, 7074, 538, 519, 476, 1001, 275, 9472, 563, 2108, 4407, 6932, 6990, 899, 8478, 3136, 547, 581, 513, 6505, 5544, 585, 1870, 18229, 936, 519, 5420, 2165, 267, 649, 723, 2938, 21260, 3747, 2066, 824, 1883, 2208, 6990, 267, 799, 949, 1860, 2282, 3856, 1931, 543, 6765, 2157, 2223, 1767, 20574, 590, 650, 267, 7022, 267, 6355, 543, 4937, 28645, 267, 26006, 6202, 17224, 18209, 269, 968, 4517, 1247, 519, 22376, 1375, 880, 2804, 2208, 543, 2797, 13253, 616, 6117, 513, 811, 11603, 1935, 547, 11449, 267, 649, 616, 7487, 12427, 1902, 538, 1427, 19745, 1080, 543, 18175, 10232, 585, 741, 4540, 8484, 267, 2523, 1472, 14479, 267, 20993, 1310, 21466, 3255, 3034, 7659, 2518, 4681, 538, 519, 476, 1001, 276, 26006, 342, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 288, 518, 18209, 12752, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 24322, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2753, 7029, 4031, 11863, 519, 32246, 30693, 540, 2043, 16363, 547, 10460, 513, 8594, 547, 2933, 610, 1866, 1813, 547, 2790, 4576, 269, 2755, 891, 4031, 2832, 547, 2149, 1857, 3106, 543, 1683, 2556, 2126, 267, 789, 723, 1044, 22309, 585, 1373, 22350, 3376, 543, 12155, 547, 6057, 269, 5047, 267, 519, 1641, 2032, 3238, 538, 8159, 2436, 2576, 10742, 519, 7355, 585, 32246, 7029, 12651, 4145, 827, 1761, 12886, 543, 1379, 20817, 1369, 519, 2790, 3782, 1062, 780, 275, 269, 7351, 12367, 281, 3683, 10517, 19948, 540, 19724, 885, 538, 5369, 12278, 30543, 692, 22137, 723, 3254, 602, 18441, 267, 3226, 7292, 543, 6803, 18441, 267, 616, 25409, 6719, 538, 17867, 10506, 543, 5238, 269, 901, 29373, 666, 581, 11911, 267, 538, 851, 267, 547, 6848, 2188, 971, 607, 7130, 267, 6710, 267, 543, 3668, 540, 1569, 547, 2298, 2790, 1072, 2533, 269, 1717, 267, 621, 849, 8711, 519, 991, 585, 2799, 28858, 538, 4180, 602, 2757, 2065, 8456, 543, 25641, 2853, 798, 711, 3565, 547, 2417, 8589, 1944, 7925, 5095, 780, 276, 269, 634, 10020, 540, 10076, 2657, 28968, 538, 31197, 692, 26045, 1072, 4648, 1404, 513, 2565, 1909, 538, 14957, 585, 519, 2924, 540, 741, 7218, 543, 4101, 24407, 2853, 1369, 519, 2790, 3782, 1062, 269, 1635, 9363, 5483, 827, 1699, 1382, 267, 1655, 2853, 267, 543, 3656, 7835, 267, 19353, 666, 948, 2327, 602, 741, 7218, 4309, 3617, 543, 17519, 1416, 267, 1863, 689, 11991, 27047, 842, 610, 28170, 542, 269, 5015, 267, 2790, 1072, 4648, 666, 12840, 609, 14519, 543, 2146, 3906, 547, 3895, 2963, 2861, 7459, 543, 2232, 11528, 2152, 7700, 547, 519, 5134, 13015, 540, 2043, 609, 2790, 4576, 780, 277, 269, 13751, 3816, 12203, 281, 22175, 12720, 543, 8889, 21637, 692, 299, 527, 12720, 814, 1279, 6039, 607, 513, 1907, 585, 4101, 4636, 995, 12250, 1436, 543, 14957, 585, 3609, 6963, 269, 8092, 5658, 2665, 971, 607, 744, 262, 3519, 24335, 642, 269, 667, 4689, 1091, 517, 630, 3192, 276, 264, 543, 29124, 642, 269, 744, 7219, 630, 3192, 280, 264, 3964, 1271, 9551, 757, 3823, 519, 2924, 540, 15508, 2192, 2043, 538, 519, 2136, 2276, 269, 2859, 5063, 267, 1362, 2962, 4031, 7057, 723, 1044, 1031, 547, 4161, 2175, 538, 1533, 17867, 6703, 267, 4611, 538, 5480, 9753, 8260, 908, 9283, 538, 3461, 1416, 543, 2126, 5054, 269, 3958, 267, 15424, 3646, 6322, 693, 14304, 2550, 262, 2924, 543, 5009, 8925, 547, 12250, 1436, 27137, 607, 19443, 30229, 2126, 3292, 1765, 4754, 948, 2061, 11991, 6413, 3074, 543, 2569, 973, 573, 13659, 3928, 780, 278, 269, 19078, 19047, 281, 21344, 5398, 8881, 543, 10572, 4201, 16860, 692, 32382, 519, 10347, 3666, 1063, 7863, 1857, 3106, 543, 18245, 1367, 13190, 3340, 6297, 7156, 540, 5683, 3741, 13057, 4791, 3375, 6194, 269, 5983, 2865, 1851, 891, 568, 519, 6240, 540, 2547, 25516, 4244, 267, 799, 9598, 919, 602, 519, 2547, 25516, 6304, 5827, 540, 8236, 519, 5551, 6364, 1058, 581, 6964, 269, 7885, 5974, 1590, 849, 9260, 519, 1761, 2640, 540, 2126, 1996, 519, 4220, 2404, 609, 7142, 30674, 267, 1519, 8194, 267, 1775, 520, 4088, 8412, 267, 543, 11761, 540, 3972, 538, 519, 9354, 19710, 780, 279, 269, 10390, 281, 589, 11910, 585, 966, 580, 559, 766, 543, 11059, 692, 2026, 7152, 2429, 713, 1576, 1770, 267, 519, 1381, 540, 2245, 666, 723, 2484, 23568, 4539, 585, 2043, 2713, 609, 2790, 4576, 269, 1677, 8396, 713, 829, 5371, 1190, 3310, 267, 2790, 1072, 4648, 267, 17864, 267, 14519, 267, 543, 7255, 4961, 1590, 2611, 21713, 538, 7114, 543, 5466, 8320, 540, 4636, 995, 12250, 1436, 543, 7130, 269, 8307, 998, 7104, 4674, 666, 649, 4126, 547, 1711, 513, 811, 12581, 543, 17519, 2790, 3782, 1062, 602, 5963, 5713, 519, 2115, 540, 782, 2818, 540, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 4168, 9406, 543, 519, 2782, 593, 3013, 454, 2690, 18281, 3057, 638, 529, 267, 513, 22064, 5856, 267, 513, 29752, 27680, 543, 513, 21464, 3659, 4171, 2530, 814, 2451, 513, 8559, 538, 1250, 2295, 563, 24464, 2760, 798, 9409, 865, 4625, 543, 17869, 2685, 607, 950, 789, 798, 621, 689, 3909, 24235, 563, 292, 4156, 26812, 1143, 281, 9050, 10117, 18467, 540, 18391, 693, 513, 2349, 2931, 327, 7398, 454, 3528, 772, 3088, 1729, 19889, 454, 1103, 19220, 540, 930, 8034, 3960, 1465, 3823, 519, 3017, 1063, 1585, 3140, 3029, 540, 3673, 1143, 267, 594, 1589, 621, 568, 2009, 547, 7291, 513, 1592, 540, 2934, 602, 616, 6093, 540, 1018, 594, 1131, 899, 547, 1289, 7984, 6363, 2444, 1143, 267, 610, 661, 4156, 26812, 1143, 269, 1452, 2934, 3112, 581, 6896, 883, 513, 1062, 282, 1082, 540, 873, 17591, 1142, 824, 267, 543, 616, 849, 6093, 540, 824, 5686, 540, 964, 13607, 1143, 610, 10178, 1738, 1143, 269, 1809, 621, 568, 2614, 602, 835, 540, 873, 581, 1459, 547, 1450, 3673, 1143, 547, 30243, 3634, 1472, 621, 563, 272, 269, 634, 1101, 4183, 540, 7984, 6363, 2444, 1143, 568, 519, 1381, 540, 2245, 269, 12465, 1143, 568, 540, 1576, 1454, 4587, 982, 3673, 1143, 269, 3502, 1152, 729, 621, 6093, 540, 4831, 516, 23728, 776, 7826, 2219, 1310, 519, 3943, 4838, 2437, 780, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 10076, 2657, 1315, 654, 3994, 995, 2382, 6627, 1436, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 8479, 16989, 27140, 998, 519, 30776, 540, 7464, 21509, 9452, 11154, 725, 538, 17912, 543, 27657, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 1762, 2937, 15923, 267, 4481, 2519, 593, 22808, 267, 17770, 13132, 267, 543, 4947, 6361, 21943, 2984, 269, 1635, 6313, 875, 891, 6386, 616, 9862, 547, 4670, 543, 8613, 267, 649, 2832, 547, 1683, 596, 609, 513, 4514, 1620, 540, 741, 4644, 543, 1764, 593, 4207, 2486, 269, 1284, 786, 849, 1865, 1699, 3466, 543, 4143, 2013, 2090, 547, 2327, 513, 1134, 25454, 1565, 1995, 780, 296, 269, 634, 5295, 540, 6936, 12267, 454, 1366, 15365, 12148, 2984, 723, 2141, 26970, 3988, 543, 13588, 7567, 1813, 547, 741, 8887, 1464, 543, 3929, 16982, 269, 1358, 1450, 2043, 547, 1921, 609, 3140, 2621, 267, 1174, 1114, 5380, 267, 543, 2992, 2390, 2123, 2208, 269, 769, 2487, 1296, 267, 972, 814, 1044, 513, 10006, 538, 15268, 1483, 3734, 6589, 585, 4670, 543, 8613, 267, 11744, 519, 11972, 9029, 540, 971, 6386, 780, 2862, 269, 4437, 7240, 543, 32532, 7240, 8606, 916, 543, 31698, 454, 14343, 19030, 18693, 7240, 8874, 630, 6798, 641, 923, 264, 543, 17770, 7240, 24299, 2709, 2189, 4030, 883, 519, 2729, 540, 9565, 5515, 269, 1452, 14624, 1419, 5031, 1713, 19325, 267, 2591, 267, 543, 18517, 1247, 3246, 2796, 543, 4282, 1344, 269, 6201, 899, 834, 763, 7869, 540, 18421, 257, 630, 3721, 1156, 8316, 6362, 781, 1272, 1070, 834, 295, 5200, 22955, 257, 630, 1492, 7418, 540, 3979, 1977, 2021, 22697, 1282, 8331, 781, 2038, 1296, 1070, 543, 28923, 781, 834, 295, 14709, 6229, 257, 630, 2246, 11893, 7240, 2609, 18955, 883, 513, 14070, 1427, 2454, 540, 21035, 781, 11344, 2085, 264, 13686, 1585, 4485, 547, 9306, 1483, 3734, 2984, 780, 7656, 269, 28527, 6361, 5025, 613, 24079, 538, 17912, 543, 7641, 454, 10900, 19567, 290, 4040, 6361, 21943, 2984, 31721, 1472, 3197, 7680, 11358, 8090, 538, 741, 2729, 602, 3337, 741, 9163, 269, 1879, 1759, 593, 4890, 2833, 267, 891, 6386, 666, 581, 3226, 3532, 269, 1280, 3236, 267, 834, 300, 3019, 2775, 2437, 16771, 540, 519, 7454, 16514, 9142, 13815, 538, 476, 1001, 278, 267, 7710, 4798, 540, 3961, 267, 14920, 267, 543, 27828, 998, 519, 4064, 540, 513, 1762, 4563, 812, 3395, 909, 538, 24543, 269, 6684, 267, 13983, 3279, 15168, 23143, 781, 834, 299, 8014, 16819, 257, 2488, 513, 1093, 17257, 24575, 540, 513, 1164, 1153, 9972, 10188, 1200, 1950, 3347, 543, 17050, 269, 5637, 8874, 6542, 519, 1761, 540, 4947, 6361, 21943, 8941, 547, 13469, 7184, 609, 9458, 780, 4353, 269, 3690, 14127, 7464, 5020, 883, 15190, 15066, 674, 12302, 7464, 885, 454, 32458, 692, 2691, 24758, 3020, 2984, 547, 3308, 2923, 267, 15888, 3068, 3875, 2591, 267, 1519, 13326, 6111, 543, 9913, 1871, 269, 8606, 7825, 5474, 949, 2308, 3860, 23118, 547, 3986, 10565, 8082, 267, 12172, 28868, 267, 610, 7873, 1619, 2789, 3197, 883, 2582, 12432, 5515, 269, 1717, 267, 11495, 713, 3666, 1063, 13597, 543, 7499, 4082, 3340, 6297, 7156, 543, 5578, 995, 11056, 780, 309, 269, 8865, 5530, 281, 834, 278, 17963, 538, 9980, 20623, 2041, 257, 543, 834, 1321, 16200, 4840, 14343, 13430, 2414, 9414, 519, 1184, 540, 13321, 1483, 3734, 2984, 883, 8903, 3308, 6386, 267, 1577, 721, 4983, 1079, 2487, 1806, 281, 834, 278, 17963, 538, 9980, 20623, 2041, 257, 543, 834, 1321, 16200, 3010, 2162, 589, 269, 834, 278, 17963, 538, 9980, 20623, 2041, 9899, 3245, 670, 6359, 22326, 547, 8466, 30765, 692, 17445, 528, 21280, 2946, 22087, 559, 3873, 781, 834, 278, 17963, 538, 9980, 20623, 2041, 257, 22281, 338, 519, 3771, 8089, 9661, 540, 5794, 5333, 22947, 476, 16928, 267, 799, 729, 554, 6359, 17977, 676, 24752, 543, 4436, 9810, 1235, 538, 476, 3192, 277, 269, 21277, 1027, 676, 7033, 2142, 7079, 543, 25562, 21125, 267, 945, 5892, 927, 4364, 519, 28601, 476, 280, 270, 1556, 12416, 834, 18197, 476, 11152, 2437, 519, 4670, 3091, 513, 17680, 6137, 2272, 540, 519, 2680, 781, 5722, 6377, 8653, 269, 3414, 22111, 1382, 543, 3007, 547, 3140, 3877, 267, 519, 2504, 2319, 6322, 547, 1711, 513, 21705, 9542, 602, 28165, 519, 9601, 543, 15000, 1247, 3246, 5813, 883, 519, 23786, 2916, 540, 519, 5736, 780, 2162, 645, 269, 834, 1321, 16200, 9899, 5800, 2001, 532, 32445, 540, 519, 6820, 2782, 593, 28015, 692, 5194, 8037, 1383, 568, 834, 1321, 16200, 2437, 9859, 676, 12832, 565, 2967, 674, 1872, 3149, 580, 543, 3812, 676, 32515, 25362, 1188, 10773, 269, 9122, 593, 8935, 326, 853, 656, 517, 781, 1655, 18522, 1433, 834, 295, 16017, 22307, 4536, 2437, 519, 4670, 12225, 2873, 519, 24123, 3646, 540, 12964, 2475, 7981, 17086, 7980, 18611, 547, 15787, 16172, 1310, 519, 476, 280, 270, 1556, 6285, 269, 1306, 789, 6330, 14542, 14099, 7258, 2199, 13529, 4229, 267, 519, 10136, 1590, 7048, 593, 741, 27265, 543, 8990, 547, 2347, 741, 5692, 269, 6145, 834, 278, 17963, 538, 9980, 20623, 2041, 2437, 834, 1321, 16200, 257, 24025, 3140, 5013, 609, 2502, 9423, 2553, 547, 1459, 513, 13858, 543, 14156, 22298, 13156, 1995, 780, 9654, 269, 14506, 543, 17564, 454, 2411, 15365, 2026, 23576, 676, 519, 8560, 540, 3020, 3613, 800, 14624, 267, 972, 3788, 513, 2178, 3747, 585, 6386, 12082, 538, 4641, 269, 18964, 2565, 2079, 543, 4901, 4478, 891, 1568, 2636, 721, 547, 1732, 10146, 741, 10083, 543, 3310, 1369, 938, 2528, 269, 5015, 267, 3695, 519, 4296, 1063, 1762, 2937, 15923, 3332, 543, 922, 3308, 13413, 11942, 513, 811, 7096, 7071, 585, 1312, 23447, 780, 9961, 713, 1576, 1770, 267, 649, 723, 8947, 519, 1379, 540, 1483, 3734, 2984, 538, 5935, 938, 7104, 9637, 267, 8268, 1585, 24848, 637, 1369, 1762, 2937, 15923, 267, 543, 9916, 1808, 1806, 540, 3811, 14624, 269, 11086, 267, 676, 29947, 707, 1620, 540, 891, 8903, 6386, 267, 596, 786, 581, 1732, 9280, 547, 4497, 609, 4207, 2152, 543, 5660, 519, 3638, 13795, 540, 1480, 2833, 4843, 998, 12092, 267, 26249, 267, 543, 4947, 6361, 21943, 2984, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5804, 5517, 547, 674, 12302, 18712, 454, 3849, 2194, 532, 1483, 3734, 2984, 547, 4670, 543, 8613, 814, 1831, 513, 6109, 19463, 609, 9458, 543, 13588, 5001, 267, 5373, 721, 883, 513, 20498, 14070, 4641, 1141, 649, 16637, 4641, 543, 2263, 14595, 26441, 563, 278, 667, 17751, 306, 5442, 13673, 15288, 17668, 292, 3600, 13094, 12696, 7033, 2142, 7079, 543, 25562, 21125, 4769, 1406, 1305, 856, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9207, 728, 540, 519, 6531, 267, 2870, 513, 20498, 4159, 540, 17500, 17875, 1782, 2066, 519, 6607, 269, 16140, 30303, 3812, 538, 713, 6073, 4043, 547, 4483, 1164, 5666, 540, 5279, 267, 543, 713, 666, 9594, 16057, 17500, 30303, 543, 5580, 27408, 4380, 8879, 17500, 563, 268, 11831, 17500, 949, 581, 606, 11626, 5122, 7613, 267, 519, 2168, 2470, 540, 799, 568, 1869, 11786, 269, 634, 2165, 4016, 547, 5359, 540, 24788, 748, 267, 2356, 20085, 3615, 799, 4268, 689, 890, 320, 13355, 547, 1896, 15432, 538, 8006, 269, 898, 568, 3006, 2404, 609, 19711, 28323, 267, 855, 7429, 17500, 30303, 267, 799, 2063, 1152, 513, 6824, 540, 513, 2034, 267, 3440, 17500, 27333, 16569, 1082, 7643, 269, 11831, 17500, 814, 1044, 4330, 676, 2363, 1168, 5893, 525, 855, 10355, 6592, 676, 14368, 5505, 269, 11660, 1239, 593, 2067, 3440, 17500, 568, 17077, 19962, 547, 922, 1102, 15968, 543, 17674, 1464, 269, 634, 16912, 1632, 540, 922, 6228, 568, 1759, 593, 4080, 1857, 8289, 902, 267, 543, 814, 4061, 3812, 10169, 22522, 4681, 269, 6601, 1777, 623, 7163, 267, 513, 7320, 678, 9734, 267, 4080, 2921, 513, 8666, 538, 24368, 267, 5245, 538, 476, 2735, 278, 563, 268, 645, 1737, 17500, 267, 849, 1634, 676, 519, 2474, 27081, 17500, 267, 5832, 17500, 267, 829, 3149, 1013, 584, 4565, 6308, 543, 20527, 743, 1515, 679, 669, 1901, 2280, 267, 547, 2012, 513, 1906, 476, 568, 519, 9178, 532, 3942, 540, 513, 17500, 8756, 538, 799, 519, 24788, 13920, 540, 519, 8756, 9397, 909, 883, 12415, 269, 27819, 1169, 17500, 11166, 786, 8858, 581, 8172, 607, 519, 8756, 3579, 338, 5612, 1310, 513, 2132, 8482, 267, 3006, 5219, 547, 607, 519, 17500, 781, 1412, 321, 1737, 13050, 262, 3942, 269, 1412, 289, 1737, 17500, 262, 568, 811, 5265, 513, 3942, 540, 513, 3339, 17500, 11166, 2864, 982, 513, 1826, 540, 17500, 538, 3294, 269, 645, 1737, 532, 540, 513, 17500, 8756, 568, 2356, 513, 1507, 8397, 4183, 267, 543, 4061, 568, 1419, 1152, 7805, 950, 519, 20626, 11305, 600, 5028, 568, 2673, 547, 519, 17500, 563, 268, 13068, 25101, 17500, 6257, 17500, 602, 4386, 609, 1100, 7805, 6531, 2673, 2614, 547, 723, 3812, 621, 269, 769, 519, 772, 2529, 269, 543, 8225, 9412, 625, 267, 513, 19711, 10445, 666, 581, 538, 606, 11105, 14860, 543, 711, 28507, 689, 519, 14860, 1141, 519, 17500, 30021, 16716, 267, 2901, 11617, 610, 2912, 4601, 269, 3864, 543, 7489, 29990, 2127, 1995, 2147, 2621, 269, 4746, 538, 2127, 971, 607, 4992, 267, 1804, 12647, 610, 1930, 23617, 267, 950, 519, 7088, 1591, 568, 593, 519, 2282, 16880, 630, 5976, 514, 476, 2918, 5998, 610, 476, 1626, 11465, 264, 972, 949, 581, 930, 11397, 2534, 267, 513, 10880, 666, 2049, 543, 607, 519, 7088, 568, 865, 2484, 2476, 267, 519, 10880, 568, 5219, 547, 607, 513, 30021, 689, 519, 4544, 269, 1452, 30303, 2356, 2253, 607, 3339, 15096, 17500, 30303, 1354, 519, 2942, 6205, 608, 1080, 519, 6531, 543, 16716, 519, 2666, 513, 9645, 3845, 2476, 269, 15474, 2312, 25101, 16716, 666, 2049, 538, 3810, 1352, 1563, 5054, 1141, 519, 5580, 2318, 5279, 3148, 3587, 23276, 19774, 689, 519, 13247, 1858, 563, 268, 13192, 3562, 25101, 17500, 568, 513, 17500, 8755, 538, 799, 835, 1439, 540, 513, 19915, 27399, 6205, 608, 1080, 519, 6531, 267, 855, 1281, 711, 1267, 538, 513, 2666, 8755, 269, 6270, 30303, 666, 3006, 581, 2219, 540, 607, 8959, 2666, 30303, 269, 9791, 32062, 543, 17254, 4842, 32062, 616, 513, 1106, 540, 6531, 3562, 25101, 610, 6531, 3562, 23760, 14459, 17500, 1141, 513, 6205, 568, 9250, 689, 519, 1283, 540, 513, 19711, 10445, 563, 268, 22477, 8755, 568, 513, 17500, 8755, 10483, 676, 519, 6505, 2287, 540, 519, 19711, 3650, 13862, 4553, 676, 519, 900, 10698, 540, 28050, 7702, 6438, 6908, 619, 883, 519, 2312, 5790, 563, 268, 16959, 17500, 568, 17500, 602, 4386, 609, 1100, 13247, 693, 519, 2627, 543, 568, 519, 1034, 1455, 2067, 2014, 540, 23967, 269, 12877, 10635, 636, 15252, 12269, 3132, 17500, 585, 519, 1482, 2601, 602, 621, 568, 3812, 676, 15921, 592, 517, 12494, 639, 12269, 269, 901, 2165, 568, 5631, 1031, 538, 5245, 267, 4516, 267, 543, 519, 2136, 2276, 563, 268, 674, 1251, 539, 17500, 568, 6531, 3562, 268, 3033, 17500, 602, 15225, 4839, 4221, 540, 922, 2619, 563, 268, 14333, 17500, 568, 513, 17500, 8755, 602, 5526, 547, 3132, 1100, 20559, 1043, 19711, 1317, 621, 4386, 1932, 2484, 2476, 585, 519, 19711, 547, 581, 4862, 269, 634, 3280, 6329, 26632, 622, 1354, 789, 3914, 519, 20626, 563, 268, 25906, 2548, 17500, 4386, 538, 19711, 28323, 609, 1164, 3444, 12798, 543, 2789, 2132, 18116, 269, 634, 2842, 786, 9514, 1142, 20422, 2132, 8482, 5594, 547, 835, 2427, 540, 519, 3105, 2132, 8482, 267, 4929, 513, 26781, 1198, 563, 268, 9412, 564, 17500, 568, 513, 1106, 540, 6531, 11166, 267, 3622, 8880, 543, 693, 6531, 3490, 267, 609, 513, 24788, 748, 8756, 17729, 547, 4434, 998, 519, 2011, 609, 11617, 5543, 15344, 3432, 267, 1419, 23557, 1836, 563, 268, 16847, 17500, 568, 6531, 3562, 12641, 3716, 17500, 602, 15225, 513, 27556, 6505, 2287, 540, 519, 2627, 540, 513, 6531, 267, 3361, 676, 519, 4890, 11166, 2619, 1373, 6456, 610, 1932, 2484, 2476, 269, 634, 17500, 3294, 3112, 581, 2938, 676, 519, 4715, 1807, 267, 865, 621, 5526, 607, 1152, 513, 8755, 267, 610, 513, 6656, 540, 1769, 269, 634, 17500, 949, 581, 1932, 2484, 2476, 547, 20559, 1367, 30303, 563, 268, 3911, 26743, 8756, 17500, 568, 606, 13016, 2165, 13288, 547, 513, 1826, 540, 6531, 3562, 268, 3033, 17500, 10880, 602, 814, 1100, 7298, 4839, 4221, 543, 5526, 899, 513, 1899, 609, 5347, 14258, 607, 10353, 547, 519, 795, 698, 3022, 5920, 540, 1034, 17500, 9055, 269, 1358, 616, 513, 1106, 540, 2318, 17500, 3622, 4767, 538, 610, 2282, 519, 12768, 21063, 4525, 540, 4049, 19711, 28323, 538, 519, 5087, 3844, 2136, 2276, 269, 898, 568, 17695, 1242, 602, 4049, 19711, 28323, 538, 713, 3148, 3489, 606, 834, 514, 30062, 7552, 1961, 257, 5279, 2497, 538, 799, 519, 1292, 2318, 5279, 3148, 568, 4092, 2630, 519, 1292, 2942, 5279, 3148, 3079, 540, 1657, 621, 267, 543, 607, 513, 1267, 891, 19711, 28323, 5352, 15866, 2318, 6531, 3562, 268, 3033, 17500, 269, 634, 2165, 834, 8243, 26743, 8756, 17500, 257, 568, 849, 3006, 11911, 547, 16057, 2666, 3562, 12641, 3716, 17500, 30303, 267, 799, 616, 3622, 2942, 30303, 15748, 676, 16057, 2318, 3401, 689, 7381, 3889, 563, 268, 853, 3147, 6737, 17500, 568, 513, 6531, 3562, 268, 3033, 17500, 630, 290, 294, 264, 10880, 799, 568, 513, 2110, 1673, 4851, 8482, 602, 630, 21865, 855, 711, 2141, 264, 5526, 607, 513, 2582, 1360, 6505, 8755, 543, 1419, 814, 9645, 4839, 4221, 269, 1452, 616, 1419, 1336, 538, 519, 3308, 29256, 1858, 2282, 519, 8544, 665, 5670, 821, 540, 15914, 19711, 28323, 543, 14626, 1938, 609, 14556, 2305, 540, 19711, 10445, 4253, 2761, 338, 269, 589, 2147, 6531, 3562, 12641, 3716, 10880, 9967, 540, 513, 5618, 8755, 936, 513, 1507, 1858, 267, 17729, 899, 513, 1025, 760, 267, 849, 4386, 538, 513, 2147, 1858, 540, 15914, 4253, 2761, 338, 563, 268, 8111, 2513, 1206, 616, 2864, 29101, 3989, 607, 16716, 609, 513, 2707, 1648, 540, 811, 982, 476, 1911, 17254, 1690, 537, 548, 1496, 1911, 717, 297, 316, 630, 2865, 17500, 16716, 2097, 538, 693, 1472, 476, 272, 17254, 1690, 537, 548, 1496, 272, 717, 297, 316, 1040, 15638, 540, 713, 9588, 2049, 827, 607, 4749, 607, 835, 538, 476, 13301, 16716, 269, 1358, 616, 711, 11008, 1227, 3982, 689, 8723, 17500, 16716, 267, 543, 3274, 2099, 519, 26627, 25958, 6316, 540, 513, 27795, 269, 2552, 9009, 547, 2442, 31605, 267, 2706, 2513, 1206, 666, 581, 2901, 9797, 610, 11874, 9901, 267, 543, 519, 5279, 5223, 568, 13380, 547, 602, 540, 834, 867, 2435, 257, 17500, 563, 268, 6641, 20627, 17500, 568, 519, 12402, 540, 17500, 547, 581, 29101, 20291, 2066, 1279, 9883, 269, 2598, 12737, 525, 666, 2408, 538, 13421, 950, 9763, 689, 2230, 5861, 924, 5470, 281, 1849, 3151, 454, 283, 10915, 285, 32002, 634, 8545, 2356, 4386, 1282, 519, 4411, 4005, 543, 949, 581, 519, 8789, 17500, 1826, 538, 555, 1495, 619, 852, 2621, 563, 22546, 338, 593, 3615, 454, 628, 3518, 347, 1805, 686, 651, 1665, 593, 17657, 540, 606, 20274, 3109, 9267, 18133, 454, 30606, 338, 13351, 676, 17500, 1995, 3002, 543, 6419, 4229, 540, 1390, 9588, 269, 634, 3002, 2813, 676, 17500, 14768, 21409, 998, 513, 3529, 949, 11517, 1125, 922, 18682, 267, 4929, 513, 9252, 16411, 602, 28377, 519, 17657, 269, 1306, 17500, 12599, 998, 22501, 3037, 267, 519, 3037, 4478, 519, 11919, 8756, 949, 15835, 267, 8108, 8685, 983, 3889, 1572, 3505, 326, 584, 2572, 563, 22546, 338, 593, 5656, 543, 6472, 454, 30395, 902, 610, 7381, 3889, 5734, 676, 17500, 949, 581, 8697, 607, 519, 17500, 11394, 796, 574, 6244, 539, 10092, 547, 519, 2666, 269, 1635, 9108, 10647, 513, 17500, 10880, 547, 519, 2666, 267, 513, 17500, 4027, 1062, 267, 2356, 6220, 693, 2547, 835, 17500, 11425, 267, 666, 7494, 2569, 519, 5506, 540, 4049, 3959, 3441, 563, 288, 7878, 616, 3810, 11630, 547, 1373, 13351, 1813, 547, 741, 17285, 8034, 1088, 1137, 267, 855, 17500, 16716, 616, 3622, 711, 5906, 547, 873, 269, 9603, 547, 519, 25801, 3601, 540, 26459, 18585, 267, 519, 8034, 1088, 720, 6411, 607, 513, 10787, 611, 599, 21799, 269, 10558, 1554, 8484, 616, 3710, 547, 581, 2922, 689, 513, 17500, 10880, 543, 15915, 786, 3622, 711, 1256, 917, 602, 621, 814, 5949, 563, 22546, 338, 593, 2831, 454, 7212, 476, 3445, 2600, 540, 1004, 13351, 676, 17500, 7639, 267, 2831, 1107, 1519, 3425, 1107, 13351, 676, 17500, 949, 7985, 4049, 5945, 1813, 547, 4835, 1418, 543, 8401, 1062, 3441, 563, 23409, 940, 5713, 606, 1271, 1909, 538, 519, 9436, 4783, 676, 12444, 1944, 1019, 30061, 9436, 538, 519, 2011, 883, 6491, 6233, 799, 616, 20024, 676, 4764, 543, 666, 6992, 1125, 519, 2208, 540, 2371, 543, 824, 7103, 563, 10303, 519, 6850, 18878, 11166, 540, 18714, 17500, 2706, 515, 1846, 519, 2011, 547, 11919, 5210, 2059, 519, 3259, 540, 519, 11166, 8756, 538, 513, 2110, 8653, 267, 15452, 3069, 9598, 919, 31529, 6675, 10929, 513, 4028, 2333, 538, 2604, 543, 3976, 4228, 21286, 689, 519, 17500, 2870, 513, 8710, 5951, 2912, 1043, 607, 19711, 269, 4595, 519, 3280, 6329, 29608, 711, 689, 513, 2582, 1448, 2707, 855, 2059, 519, 3259, 540, 519, 17500, 781, 2619, 267, 519, 3280, 5169, 781, 8795, 9883, 689, 519, 20626, 666, 5352, 513, 12902, 610, 678, 22824, 1198, 269, 32185, 540, 519, 521, 4577, 4162, 568, 2417, 7294, 676, 2188, 971, 607, 519, 12150, 543, 7654, 4839, 4221, 9511, 540, 519, 17500, 8756, 267, 676, 17974, 16079, 532, 689, 14099, 267, 543, 676, 519, 2356, 2789, 3613, 6593, 8984, 540, 519, 17500, 10880, 563, 23409, 12599, 693, 827, 476, 4968, 267, 1822, 267, 1822, 544, 4882, 630, 280, 3199, 267, 1822, 267, 1822, 10264, 4882, 1070, 543, 3280, 12599, 998, 2011, 693, 827, 476, 29340, 544, 4882, 630, 272, 267, 9873, 10264, 4882, 1040, 1323, 20626, 666, 16977, 519, 3845, 547, 519, 10880, 676, 12557, 519, 8884, 1063, 519, 7298, 17500, 543, 519, 2912, 1043, 19711, 621, 12958, 269, 589, 17500, 8755, 18631, 922, 19711, 676, 835, 2034, 1131, 581, 5111, 476, 29340, 544, 630, 272, 267, 10219, 10264, 264, 538, 3845, 282, 513, 8488, 540, 1614, 7643, 1131, 5815, 513, 3845, 540, 827, 476, 272, 5998, 610, 476, 271, 269, 7830, 11465, 630, 274, 6398, 476, 29340, 544, 1040, 589, 8755, 18631, 19711, 676, 2947, 7643, 1131, 5815, 513, 3845, 540, 5111, 476, 272, 269, 278, 5998, 610, 476, 272, 269, 272, 11465, 630, 276, 6398, 476, 29340, 544, 1040, 9182, 267, 513, 17500, 10880, 4767, 693, 513, 1360, 2673, 3845, 786, 581, 10483, 676, 513, 6727, 804, 777, 540, 19711, 267, 609, 3592, 1100, 829, 1061, 1043, 942, 561, 8985, 267, 7654, 10483, 676, 519, 9329, 540, 17645, 630, 302, 274, 1916, 23409, 940, 693, 513, 6190, 3845, 949, 581, 2938, 543, 711, 4862, 282, 972, 568, 1239, 602, 513, 17500, 7088, 666, 581, 2938, 693, 936, 476, 8182, 5998, 630, 1911, 11465, 264, 6466, 519, 19711, 12599, 827, 476, 3953, 5998, 630, 736, 11465, 1040, 589, 928, 10383, 958, 267, 972, 616, 1082, 1806, 540, 1004, 6031, 1412, 1492, 7088, 729, 2047 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2282, 5800, 6243, 267, 9412, 532, 5069, 6019, 267, 9098, 269, 634, 1292, 2777, 729, 3710, 1063, 476, 7277, 276, 543, 476, 7277, 278, 267, 543, 568, 513, 1079, 3613, 800, 267, 2947, 15922, 267, 15839, 5259, 4860, 2526, 2511, 23029, 269, 898, 2934, 513, 15839, 8970, 823, 267, 22283, 24733, 777, 564, 575, 762, 1439, 6821, 267, 543, 513, 1970, 1790, 17097, 575, 762, 8122, 269, 634, 4395, 1795, 1228, 814, 513, 1079, 3613, 800, 7895, 2939, 539, 2823, 4815, 12062, 532, 519, 4099, 15922, 269, 4746, 593, 519, 3959, 616, 519, 7700, 8673, 5264, 267, 1079, 10553, 17743, 902, 267, 513, 4677, 1858, 267, 4871, 28561, 267, 2845, 2777, 267, 543, 1079, 15456, 4609, 1519, 513, 2009, 10553, 28200, 269, 2201, 4873, 476, 280, 267, 476, 5908, 273, 267, 32181, 7974, 729, 519, 6429, 540, 2962, 1282, 519, 11135, 540, 5800, 6243, 563, 289, 690, 7974, 729, 4646, 593, 5437, 476, 1691, 267, 476, 6245, 275, 267, 689, 13980, 540, 23374, 7615, 24104, 1222, 267, 1759, 593, 519, 2164, 540, 513, 22275, 31558, 4371, 602, 1554, 269, 634, 18664, 965, 729, 4646, 1282, 519, 834, 289, 528, 965, 4345, 257, 7613, 1287, 27789, 998, 19161, 523, 6019, 267, 538, 799, 476, 2918, 18664, 965, 338, 941, 4646, 538, 519, 10315, 538, 476, 6245, 275, 4805, 269, 5800, 687, 540, 32181, 7974, 941, 3144, 538, 476, 6245, 276, 547, 1106, 851, 540, 519, 9241, 2813, 24104, 1222, 540, 1855, 2033, 1188, 269, 32181, 7974, 729, 3957, 538, 8956, 540, 519, 32181, 1068, 1920, 267, 799, 1185, 1044, 519, 1101, 547, 19582, 519, 1858, 267, 543, 949, 849, 581, 513, 2823, 332, 14397, 879, 540, 32181, 1068, 543, 645, 9017, 267, 1776, 2038, 1920, 267, 609, 606, 834, 302, 257, 3773, 547, 8897, 12332, 563, 763, 18664, 965, 781, 2012, 568, 14733, 1315, 321, 16745, 16659, 389, 350, 334, 390, 488, 339, 16745, 11486, 7795, 8566, 302, 2389, 320, 267, 7429, 32181, 582, 5451, 267, 3854, 2749, 540, 21896, 267, 4171, 2012, 568, 934, 5034, 593, 519, 3803, 27612, 269, 3213, 4532, 1211, 958, 267, 476, 272, 269, 7918, 260, 540, 32181, 7974, 781, 7264, 616, 689, 21896, 563, 763, 2046, 267, 16841, 2046, 610, 13105, 2046, 568, 513, 2597, 2866, 3635, 267, 3335, 5340, 1247, 7555, 267, 538, 799, 513, 2597, 568, 20399, 2786, 20733, 689, 519, 17525, 2394, 519, 7916, 616, 19526, 856, 16841, 563, 763, 2046, 568, 1305, 909, 676, 2921, 513, 3046, 10428, 543, 8380, 621, 593, 519, 18751, 1642, 339, 6950, 269, 901, 666, 581, 2944, 676, 2921, 519, 3046, 10428, 689, 513, 24646, 610, 676, 7738, 519, 2597, 689, 519, 6989, 630, 30236, 543, 2046, 1040, 17968, 519, 3350, 666, 581, 5340, 609, 31945, 10428, 338, 267, 1498, 789, 798, 711, 1964, 28426, 593, 519, 1642, 339, 6950, 269, 1358, 798, 711, 723, 3362, 3015, 1164, 986, 4242, 865, 519, 27466, 324, 2115, 547, 2973, 873, 610, 723, 513, 5544, 614, 4217, 873, 538, 3478, 873, 883, 519, 4358, 2990, 563, 763, 2046, 3322, 3001, 513, 3046, 10428, 610, 31945, 10428, 338, 689, 519, 13105, 543, 11319, 621, 909, 1657, 519, 2212, 2394, 519, 1714, 28647, 616, 4628, 19526, 856, 269, 1306, 519, 3046, 1579, 1513, 519, 2212, 267, 519, 3076, 614, 682, 753, 4464, 5594, 538, 1931, 547, 1832, 3666, 269, 1306, 519, 3046, 568, 22485, 1394, 547, 519, 17525, 543, 1579, 1513, 519, 2212, 1586, 267, 519, 3076, 614, 682, 753, 5594, 1394, 563, 1103, 3043, 9174, 2504, 267, 10296, 2356, 3217, 1747, 5612, 1310, 11493, 543, 1354, 3119, 18829, 269, 769, 2699, 9174, 2504, 267, 519, 18683, 616, 849, 16760, 855, 10296, 2356, 3085, 1405, 1491, 1747, 11489, 1310, 610, 2282, 519, 1439, 540, 18829, 609, 519, 942, 540, 2960, 3346, 1063, 519, 10433, 543, 18683, 30450, 2681, 267, 512, 2335, 1231, 543, 824, 4307, 21095, 689, 519, 2960, 269, 27051, 476, 2568, 268, 3583, 260, 540, 519, 2139, 10433, 1369, 519, 18812, 10874, 787, 267, 519, 1863, 24507, 10433, 267, 666, 581, 5950, 676, 519, 11493, 1184, 543, 3085, 1405, 2154, 519, 946, 540, 519, 2046, 269, 634, 6967, 476, 1789, 268, 2412, 260, 602, 2501, 689, 10296, 666, 723, 2362, 9063, 2157, 267, 2539, 5707, 7806, 762, 23639, 267, 5732, 2362, 19979, 23639, 543, 2362, 4307, 21095, 982, 519, 1863, 24507, 10433, 4470, 593, 519, 2179, 540, 2604, 543, 751, 2130, 540, 519, 32675, 543, 786, 3132, 811, 513, 11415, 550, 267, 15280, 9174, 563, 277, 25931, 9550, 267, 538, 32181, 7974, 267, 21896, 5463, 3267, 19669, 5600, 2046, 23122, 23514, 623, 338, 13403, 5063, 9788, 856, 519, 1007, 772, 2529, 3267, 1004, 543, 5368, 341, 580, 528, 908, 1617, 10561, 23372, 547, 2046, 585, 513, 11180, 6364, 543, 11654, 2043, 3238, 538, 13313, 267, 1480, 2924, 28407, 2437, 1352, 1767, 563, 3528, 634, 23105, 4964, 269, 645, 8104, 5588, 288, 267, 21896, 2443, 589, 17732, 540, 6413, 15135, 1282, 519, 11452, 6855, 814, 3366, 16413, 538, 21896, 547, 1374, 15409, 267, 4870, 23534, 20830, 585, 11452, 2550, 602, 666, 581, 5116, 538, 14934, 916, 610, 18736, 6266, 3267, 288, 3913, 525, 8895, 326, 665, 5414, 267, 1767, 693, 513, 2046, 10554, 3267, 14645, 476, 1708, 272, 634, 23105, 4964, 563, 293, 601, 6559, 715, 1511, 8619, 267, 513, 11001, 693, 519, 1533, 24804, 674, 328, 665, 745, 345, 8649, 7571, 807, 20576, 538, 2494, 9476, 267, 1767, 538, 606, 5967, 609, 634, 23105, 4964, 713, 3018, 602, 519, 1007, 8833, 20039, 585, 1079, 22188, 540, 476, 3445, 5439, 3144, 1063, 5412, 543, 4571, 11219, 534, 4231, 3267, 23105, 4964, 563, 293, 601, 6559, 715, 1511, 8619, 267, 513, 11001, 693, 519, 1533, 24804, 674, 328, 665, 745, 345, 8649, 7571, 807, 20576, 538, 2494, 9476, 267, 1767, 538, 606, 5967, 609, 634, 23105, 4964, 713, 3018, 602, 519, 1007, 8833, 20039, 585, 1079, 22188, 540, 476, 3445, 5439, 3144, 1063, 5412, 543, 4571, 11219, 534, 4231, 3267, 21837, 9291, 518, 1656, 26450, 310, 20488, 8657, 267, 634, 23105, 4964, 563, 3528, 634, 23105, 4964, 269, 645, 8104, 5588, 288, 267, 21896, 2443, 21896, 786, 7333, 19426, 689, 8478, 2500, 11016, 936, 4145, 540, 513, 14583, 540, 519, 11452, 602, 568, 21883, 538, 602, 2197, 269, 21896, 5518, 296, 7079, 13660, 4302, 593, 13723, 9307, 519, 476, 1789, 6377, 2268, 269, 3143, 19426, 786, 1491, 1055, 689, 21896, 547, 8478, 2901, 3267, 2443, 17147, 3267, 476, 279, 3267, 14645, 476, 1708, 272, 634, 23105, 4964, 563, 3528, 808, 9590, 4629, 4888, 6224, 296, 12702, 292, 23105, 4964, 269, 645, 8104, 5588, 288, 267, 21896, 630, 4338, 264, 2443, 21896, 21534, 1234, 1400, 4777, 681, 4240, 320, 607, 922, 3084, 2319, 16455, 593, 13628, 267, 561, 1005, 1864, 2476, 689, 16266, 538, 519, 13922, 602, 646, 666, 2490, 1472, 922, 2622, 19067, 27216, 5859, 563, 289, 8104, 5588, 288, 630, 3725, 26407, 264, 1107, 634, 18207, 1014, 2229, 1767, 593, 13628, 602, 621, 729, 10296, 6619, 609, 519, 556, 15759, 1674, 883, 2486, 540, 1629, 984, 28895, 674, 2752, 290, 1368, 518, 18115, 553, 267, 543, 602, 789, 1058, 711, 581, 4744, 340, 12184, 689, 11173, 538, 519, 1184, 676, 6285, 593, 5449, 30280, 3267, 5808, 568, 589, 8016, 286, 2060, 2475, 6837, 4759, 28641, 744, 322, 553, 1470, 4211, 677, 14162, 269, 590, 1013, 10134, 4045, 338, 3267, 4427, 18285, 269, 3267, 4586, 14071, 2461, 2921, 2962, 1813, 547, 519, 18965, 2333, 538, 519, 5003, 3599, 540, 5046, 14021, 1416, 4559, 602, 649, 723, 2938, 538, 519, 2063, 476, 4366, 3108, 2223, 9117, 26302, 540, 32181, 7974, 299, 7572, 11293, 333, 652, 334, 294, 727, 345, 1767, 538, 513, 2046, 10554, 3267, 769, 32181, 7974, 5003, 3599, 540, 14021, 1416, 4559, 630, 2975, 5825, 264, 6763, 693, 476, 11025, 269, 279, 9077, 2687, 547, 2199, 2229, 5515, 563, 763, 1847, 3357, 513, 1554, 1310, 519, 968, 8624, 4861, 1014, 2427, 779, 1666, 6804, 3375, 547, 1163, 601, 1079, 17009, 1846, 689, 519, 6739, 21150, 29983, 538, 32181, 7974, 2223, 1767, 519, 18591, 3267, 18208, 7641, 779, 3896, 666, 849, 581, 15600, 693, 519, 1739, 14595, 9607, 10756, 302, 1553, 10118, 1767, 789, 1185, 6592, 476, 272, 267, 1822, 267, 14631, 2665, 607, 540, 13638, 10543, 3267, 6168, 476, 3583, 260, 540, 519, 11668, 3196, 1568, 538, 519, 13016, 4346, 543, 568, 2182, 20399, 547, 3251, 693, 1753, 3267, 23105, 4964, 19784, 24381, 545, 1470, 16334, 10722, 9926, 4080, 713, 1650, 538, 7799, 320, 543, 6673, 5856, 2494, 3241, 681, 4240, 320, 4080, 689, 32181, 7974, 267, 21896, 269, 24381, 545, 1470, 16334, 10722, 302, 345, 1656, 2494, 3241, 681, 4240, 320, 267, 634, 23105, 4964, 269, 0, 763, 1655, 1259, 547, 1589, 540, 513, 3791, 1268, 779, 1448, 476, 274, 6113, 1268, 1557, 1806, 540, 2070, 1383, 568, 676, 3206, 540, 3054, 607, 513, 8254, 10916, 1018, 568, 11080, 4099, 1870, 1544, 2469, 593, 269, 2015, 519, 1739, 1383, 588, 534, 5112, 3860, 1603, 1982, 2630, 15545, 476, 274, 6113, 1268, 26249, 476, 278, 6858, 1913, 275, 3817, 11849, 2917, 556, 539, 26249, 11849, 2917, 556, 539, 729, 4535, 593, 513, 3636, 751, 343, 553, 6640, 538, 795, 2317, 476, 2735, 275, 269, 12354, 476, 1839, 267, 476, 1001, 278, 5788, 3791, 1268, 1557, 1383, 269, 596, 4766, 7194, 538, 513, 1557, 1058, 581, 21543, 6780, 10583, 540, 2470, 540, 2565, 3206, 707, 2383, 585, 3791, 713, 11999, 1268, 2984, 476, 274, 6113, 1268, 1557, 1806, 543, 9089, 2854, 538, 519, 2034, 1268, 2291, 267, 855, 789, 616, 3732, 4686, 337, 982, 6386, 2854, 689, 476, 274, 6113, 1268, 1557, 1806, 513, 12819, 1557, 7790, 11631, 1101, 268, 610, 3791, 16512, 5133, 269, 1383, 281, 1256, 519, 476, 274, 6113, 1268, 2014, 543, 1198, 3594, 666, 581, 2854, 538, 1585, 25654, 269, 1775, 22755, 721, 1603, 2014, 543, 1198, 3594, 547, 519, 9413, 269, 1631, 267, 1934, 779, 519, 1434, 267, 519, 3983, 267, 543, 519, 30299, 827, 1603, 538, 519, 3791, 1268, 269, 3791, 1268, 950, 568, 3791, 16512, 1448, 540, 2070, 15290, 568, 3791, 16512, 1448, 540, 3332, 2689, 593, 13663, 2070, 1031, 286, 628, 2273, 1268, 568, 1031, 950, 513, 4110, 1410, 3263, 540, 5220, 2854, 689, 519, 3791, 676, 575, 4883, 344, 530, 773, 14551, 339, 269, 31672, 269, 23891, 476, 736, 267, 476, 1001, 272, 5788, 519, 993, 21105, 3046, 10440, 1913, 1557, 1101, 16512, 1448, 540, 2070, 568, 1031, 5097, 585, 17770, 7240, 1603, 267, 971, 607, 513, 2123, 1557, 610, 513, 17728, 269, 875, 547, 2328, 513, 1434, 14656, 3948, 269, 0, 5226, 514, 1097, 267, 10790, 1107, 589, 1867, 689, 519, 2817, 9605, 10466, 5948, 630, 22143, 5183, 264, 2982, 602, 3595, 13623, 538, 519, 772, 2529, 269, 15527, 547, 10199, 476, 2420, 269, 275, 2929, 7125, 538, 476, 1220, 274, 267, 1851, 873, 476, 1724, 269, 277, 2929, 585, 2564, 6351, 543, 476, 273, 269, 273, 2929, 15427, 676, 7301, 32302, 269, 6168, 476, 272, 269, 277, 2929, 7125, 1107, 610, 476, 278, 2600, 1107, 941, 585, 4890, 11642, 563, 13707, 7125, 941, 909, 476, 276, 2600, 689, 519, 3105, 1032, 282, 2564, 7125, 941, 909, 476, 277, 2600, 282, 7301, 32302, 941, 909, 676, 476, 274, 2600, 282, 543, 7125, 585, 11642, 941, 1524, 476, 277, 2600, 563, 7712, 476, 2735, 274, 267, 2564, 7125, 543, 7301, 15372, 2275, 8712, 723, 23060, 538, 1297, 269, 6481, 5351, 7125, 1631, 2272, 585, 476, 8618, 2600, 540, 3595, 8257, 7125, 267, 543, 7301, 32302, 2272, 585, 476, 1015, 2600, 563, 16178, 32302, 3136, 547, 3454, 519, 4182, 779, 3595, 3028, 1317, 3595, 13623, 3112, 1095, 2541, 513, 1289, 568, 513, 7301, 15372, 543, 1590, 4431, 607, 789, 1131, 547, 513, 3595, 269, 4208, 723, 7301, 32302, 1831, 865, 1455, 286, 2290, 2601, 568, 602, 811, 1753, 543, 5010, 15372, 1949, 616, 1373, 8704, 563, 763, 2185, 6688, 585, 7301, 32302, 4857, 538, 519, 1867, 543, 6871, 540, 782, 7301, 32302, 616, 912, 268, 3590, 29840, 630, 3607, 2600, 1040, 3590, 23659, 17313, 666, 1267, 689, 7344, 5821, 610, 689, 16789, 10380, 610, 5826, 563, 268, 1133, 842, 30102, 630, 3374, 2600, 1040, 1133, 842, 30102, 7125, 666, 581, 3361, 676, 1062, 4152, 1510, 1991, 31015, 547, 4299, 6105, 267, 610, 689, 8673, 610, 9252, 3361, 676, 5986, 610, 824, 2238, 563, 268, 5689, 5534, 630, 1691, 2600, 1916, 268, 4033, 7125, 267, 1519, 10514, 1085, 4100, 267, 3092, 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 ]
[ 0, 26872, 19881, 25594, 19314, 303, 6369, 2562, 570, 3201, 298, 1107, 631, 3198, 301, 8991, 454, 310, 21135, 296, 4456, 717, 19181, 2562, 2207, 267, 589, 269, 631, 563, 8025, 2562, 623, 4338, 2207, 11581, 296, 3582, 454, 310, 21135, 296, 4456, 681, 7473, 295, 29706, 13993, 23360, 5058, 19766, 3198, 312, 454, 303, 20166, 269, 13340, 476, 14625, 279, 454, 303, 3918, 293, 19781, 634, 1843, 540, 713, 1433, 568, 547, 1118, 1004, 1589, 267, 8300, 873, 547, 3343, 2362, 1919, 267, 543, 2057, 930, 540, 519, 991, 1652, 25354, 269, 634, 791, 520, 1304, 936, 268, 3711, 25875, 6107, 568, 2693, 547, 798, 1082, 1919, 602, 646, 786, 1616, 547, 3768, 334, 1310, 621, 568, 1932, 3735, 269, 589, 1268, 609, 1932, 1454, 20440, 568, 899, 513, 9252, 15245, 609, 1100, 17752, 282, 1312, 2356, 9514, 909, 269, 589, 1268, 1058, 711, 3251, 538, 513, 678, 583, 267, 855, 646, 6499, 547, 581, 2386, 602, 646, 568, 538, 835, 1354, 17444, 10690, 563, 10454, 812, 945, 2899, 1034, 20617, 1767, 2676, 6826, 2386, 596, 2811, 4636, 1354, 596, 16718, 1848, 2368, 1004, 2161, 602, 621, 568, 7543, 547, 2322, 606, 2025, 2212, 593, 513, 7911, 282, 4061, 621, 568, 24631, 547, 1289, 1010, 3007, 547, 519, 18205, 2042, 6619, 540, 1864, 269, 11524, 2161, 602, 7911, 3125, 568, 519, 1974, 547, 723, 513, 1434, 942, 543, 602, 621, 568, 11613, 21494, 547, 3775, 513, 7911, 540, 1010, 16990, 4555, 547, 1205, 1864, 547, 1589, 12517, 827, 519, 2104, 269, 1703, 949, 581, 930, 5168, 538, 891, 1543, 687, 267, 855, 1034, 540, 519, 4057, 8695, 945, 723, 24111, 3459, 2038, 269, 717, 269, 674, 269, 27997, 3459, 9140, 543, 9513, 17944, 950, 646, 729, 8370, 1296, 2025, 269, 5261, 654, 3419, 2917, 267, 12789, 1421, 2968, 513, 10707, 6455, 2006, 543, 4421, 12853, 547, 22278, 950, 646, 729, 24369, 1296, 2025, 269, 1879, 20289, 717, 746, 729, 27552, 1296, 2025, 267, 646, 2451, 1753, 543, 12236, 811, 2724, 982, 646, 6170, 269, 7261, 6350, 670, 269, 918, 269, 4354, 26385, 729, 513, 3811, 1957, 6455, 2006, 693, 12964, 269, 1634, 1249, 602, 1034, 540, 519, 14930, 540, 11097, 3298, 945, 723, 547, 948, 1118, 519, 2713, 689, 2038, 6689, 1118, 1434, 269, 898, 568, 513, 1634, 1249, 849, 602, 1034, 540, 519, 14930, 540, 11097, 3298, 945, 1577, 741, 11299, 1118, 519, 2713, 543, 7227, 593, 873, 798, 711, 1118, 1434, 269, 634, 840, 12329, 781, 7911, 945, 1281, 9642, 6009, 543, 17990, 1010, 2724, 2356, 2306, 1434, 267, 543, 519, 1482, 949, 581, 1767, 540, 519, 454, 2005, 568, 513, 454, 17549, 7911, 945, 1821, 2478, 1114, 14565, 547, 6133, 1010, 4574, 269, 898, 568, 2484, 1732, 547, 723, 513, 2370, 18399, 782, 998, 1272, 982, 621, 568, 547, 723, 782, 540, 621, 538, 835, 781, 7911, 3125, 2395, 563, 2005, 568, 1360, 1898, 602, 835, 1058, 581, 8036, 547, 1491, 5413, 540, 1870, 3255, 267, 543, 621, 568, 1175, 607, 1898, 602, 835, 1058, 10536, 6208, 602, 786, 2014, 1864, 547, 6108, 1010, 16837, 7443, 2406, 269, 1403, 646, 22939, 1010, 16837, 538, 13030, 16437, 267, 1010, 8458, 585, 1967, 616, 1360, 1454, 21022, 282, 855, 952, 646, 22939, 1010, 16837, 538, 1353, 543, 1582, 21553, 2889, 22777, 267, 1010, 8458, 585, 1967, 616, 1360, 1454, 8476, 269, 3509, 1919, 4283, 538, 547, 2014, 1967, 610, 5821, 267, 855, 621, 568, 1419, 519, 2370, 1919, 602, 1293, 1034, 269, 1452, 2370, 1919, 616, 865, 1271, 602, 519, 5856, 814, 17298, 538, 3487, 594, 547, 1592, 513, 1297, 540, 873, 602, 949, 1039, 547, 610, 1033, 847, 689, 835, 781, 4960, 540, 1818, 1434, 563, 763, 946, 540, 1434, 25654, 568, 513, 1360, 1271, 10697, 269, 634, 1025, 755, 1359, 267, 1025, 8974, 532, 8284, 4422, 998, 1272, 1055, 2056, 1004, 1510, 1373, 2111, 547, 1689, 1010, 29916, 269, 6884, 646, 12034, 1010, 9073, 543, 19048, 1360, 1454, 827, 873, 267, 855, 602, 1281, 711, 3768, 334, 519, 5945, 602, 814, 1044, 2944, 610, 1832, 1864, 689, 1055, 2056, 930, 835, 3116, 269, 1261, 568, 27656, 11474, 267, 543, 646, 6487, 602, 646, 568, 282, 855, 646, 1175, 3112, 798, 1022, 1732, 269, 634, 8373, 568, 646, 31372, 1932, 1279, 547, 2119, 547, 1106, 1007, 6208, 269, 2290, 1058, 1106, 519, 4356, 540, 1210, 1434, 25654, 607, 2038, 538, 1272, 607, 2009, 269, 18833, 1018, 547, 798, 593, 519, 1034, 7928, 14026, 568, 865, 1271, 602, 3487, 4083, 540, 713, 1433, 568, 13991, 547, 25654, 563, 2467, 616, 782, 5686, 540, 14565, 267, 3457, 267, 543, 6030, 593, 519, 2344, 10213, 835, 1175, 875, 547, 8011, 269, 634, 5856, 814, 9916, 1082, 540, 891, 6030, 267, 543, 519, 1434, 1919, 616, 1336, 538, 713, 1433, 269, 634, 22808, 540, 3811, 2367, 267, 538, 1034, 2665, 267, 2709, 811, 6405, 1570, 593, 875, 547, 581, 3811, 982, 782, 540, 891, 6030, 269, 2290, 1058, 917, 875, 930, 540, 519, 1034, 3811, 2367, 4682, 827, 547, 3094, 1967, 269, 634, 1353, 540, 519, 2729, 540, 3811, 2367, 568, 865, 1898, 602, 3487, 8633, 540, 713, 1433, 814, 1044, 13991, 547, 22808, 563, 15919, 513, 2370, 6667, 949, 2186, 548, 519, 11642, 540, 20440, 269, 3509, 1004, 666, 1448, 1394, 547, 519, 1650, 267, 2232, 267, 6648, 267, 610, 19722, 602, 6273, 873, 547, 798, 1945, 4502, 1247, 269, 6184, 17508, 12523, 585, 865, 1454, 602, 3487, 10001, 540, 713, 1433, 814, 1044, 13991, 547, 31369, 9954, 267, 840, 778, 906, 267, 543, 24185, 563, 1607, 1433, 949, 581, 1224, 676, 1053, 538, 25367, 5583, 6030, 610, 676, 2043, 945, 616, 3257, 4052, 960, 538, 519, 6280, 540, 2182, 5679, 4169, 269, 634, 5856, 814, 6170, 1896, 1296, 7421, 519, 3123, 540, 1967, 543, 5821, 267, 543, 713, 1433, 568, 519, 1267, 540, 602, 1382, 269, 1403, 621, 17990, 835, 9997, 689, 519, 620, 916, 2777, 267, 519, 5856, 786, 1745, 602, 646, 814, 1044, 1134, 6976, 585, 1010, 4074, 563, 763, 5856, 16858, 547, 11760, 1010, 7071, 585, 519, 2533, 21235, 1864, 676, 519, 10909, 602, 865, 786, 5944, 2366, 1570, 7282, 519, 2729, 540, 741, 27428, 269, 769, 1840, 547, 824, 1570, 930, 540, 519, 10909, 2366, 12139, 804, 2089, 902, 689, 971, 17476, 607, 1977, 18225, 267, 634, 8859, 626, 267, 11773, 267, 11635, 11780, 5623, 267, 2398, 5793, 781, 769, 330, 267, 1280, 15816, 543, 3590, 563, 288, 1188, 852, 1194, 8540, 547, 21101, 543, 4589, 585, 10479, 547, 1065, 11781, 538, 713, 1433, 1570, 799, 789, 1852, 568, 14413, 2630, 912, 310, 269, 645, 269, 1230, 4486, 7577, 267, 519, 17101, 17404, 540, 11875, 320, 24747, 518, 12070, 1723, 343, 781, 9954, 267, 585, 519, 9954, 543, 24185, 1065, 11781, 539, 538, 713, 1433, 563, 289, 12838, 1299, 22846, 1765, 2108, 763, 8080, 2494, 892, 689, 32240, 28224, 267, 3571, 3883, 267, 543, 968, 11514, 4186, 5034, 1848, 563, 763, 1234, 11035, 1299, 10557, 7577, 1765, 2108, 763, 2622, 568, 18830, 2725, 257, 689, 3807, 30577, 23205, 802, 267, 543, 968, 2005, 16393, 333, 1405, 2142, 667, 821, 892, 676, 28089, 589, 269, 2871, 652, 563, 295, 32080, 631, 858, 4802, 7577, 585, 519, 9954, 543, 24185, 689, 7043, 325, 3641, 267, 2506, 3205, 267, 8899, 749, 267, 1733, 8636, 1512, 267, 29385, 267, 29017, 324, 267, 543, 15284, 269, 634, 21555, 689, 18648, 9400, 781, 1325, 2006, 659, 616, 3144, 689, 835, 540, 519, 681, 269, 700, 269, 590, 269, 10022, 563, 24730, 590, 592, 569, 1299, 7577, 1765, 2108, 2252, 1411, 2052, 1405, 3619, 3683, 610, 7201, 267, 3619, 18471, 892, 689, 898, 2052, 2142, 667, 821, 267, 10677, 539, 267, 476, 4572, 272, 563, 299, 1054, 1886, 267, 10557, 1299, 2701, 335, 731, 7577, 1765, 2108, 763, 5600, 676, 519, 17121, 540, 519, 10003, 892, 689, 14134, 338, 538, 23467, 335, 684, 676, 6341, 19124, 26187, 563, 295, 1551, 25538, 1676, 14539, 7577, 1765, 2108, 8624, 3518, 639, 2437, 543, 834, 2414, 8409, 5808, 674, 841, 892, 676, 808, 10394, 23936, 16019, 269, 0, 1607, 3296, 568, 689, 834, 763, 1977, 20676, 30249, 4215, 2580, 676, 6723, 681, 2118, 344, 1656, 8176, 589, 269, 667, 3570, 269, 4746, 2139, 689, 8835, 281, 634, 1715, 1977, 20676, 641, 384, 503, 29953, 269, 476, 1626, 12531, 2347, 10756, 29155, 342, 6506, 10921, 267, 513, 17535, 543, 8473, 10315, 8108, 519, 590, 269, 661, 269, 17119, 640, 540, 10430, 267, 593, 519, 4436, 5836, 267, 9674, 590, 269, 661, 269, 676, 519, 570, 15634, 689, 3345, 3784, 1633, 267, 4789, 267, 543, 22112, 715, 269, 676, 16874, 3429, 27971, 10921, 267, 654, 269, 676, 25470, 28790, 267, 543, 590, 269, 676, 681, 2135, 15734, 28790, 282, 1858, 267, 476, 5325, 273, 13483, 269, 544, 5919, 1402, 269, 538, 476, 6942, 272, 267, 476, 3607, 267, 275, 4037, 269, 898, 568, 5258, 883, 519, 13102, 540, 19681, 1067, 332, 3233, 267, 5487, 31335, 23014, 267, 543, 519, 8585, 572, 269, 2368, 540, 519, 4583, 19681, 1067, 332, 3233, 15113, 616, 936, 476, 272, 267, 4335, 3952, 1164, 269, 6168, 476, 1220, 267, 1822, 14143, 616, 896, 14713, 267, 543, 519, 2504, 568, 20406, 2810, 689, 4824, 1949, 540, 2528, 269, 9282, 4130, 982, 1082, 824, 8857, 577, 17521, 267, 621, 7472, 811, 10568, 543, 2490, 2354, 982, 1034, 540, 873, 269, 2701, 788, 543, 3731, 1479, 616, 6659, 538, 1390, 2338, 269, 634, 5032, 568, 27726, 267, 609, 1100, 536, 904, 4688, 693, 12019, 532, 5069, 543, 29431, 655, 1926, 269, 31453, 532, 519, 16685, 538, 519, 22583, 267, 782, 519, 12535, 616, 29815, 2456, 540, 519, 570, 15634, 543, 32736, 609, 3165, 269, 634, 13687, 21996, 267, 1279, 17735, 267, 723, 25015, 759, 25390, 930, 540, 741, 5449, 2956, 269, 634, 8783, 4123, 568, 5645, 593, 998, 7137, 19213, 6823, 6874, 15634, 269, 634, 1152, 10424, 3276, 724, 568, 5487, 31335, 282, 519, 4102, 4884, 568, 14480, 572, 282, 543, 519, 10315, 4884, 568, 5682, 18721, 267, 476, 274, 544, 269, 590, 269, 540, 799, 568, 670, 2541, 14500, 267, 593, 513, 14629, 476, 12010, 3952, 1164, 563, 2467, 616, 3875, 882, 923, 540, 4936, 543, 3703, 1958, 2086, 906, 267, 543, 1851, 519, 1082, 1884, 1172, 885, 616, 1346, 540, 16258, 14500, 630, 1492, 16423, 338, 595, 4048, 540, 519, 834, 289, 20183, 540, 19681, 1067, 332, 3233, 19823, 476, 273, 538, 269, 689, 519, 9976, 853, 269, 2806, 321, 781, 10361, 1596, 2632, 800, 267, 543, 519, 21219, 540, 12019, 532, 5069, 17028, 800, 543, 540, 16959, 15734, 705, 21161, 269, 0, 1103, 938, 1007, 1433, 267, 634, 1133, 21129, 1639, 26746, 281, 1548, 1133, 2572, 543, 29435, 525, 23597, 543, 14308, 1218, 1310, 476, 4335, 13012, 267, 13983, 1375, 2353, 2581, 543, 594, 3343, 547, 2491, 1141, 519, 3515, 540, 6876, 543, 3017, 2887, 1063, 23597, 543, 14308, 1218, 269, 2986, 782, 519, 2055, 4478, 713, 1641, 267, 5310, 519, 1034, 4749, 4280, 568, 519, 1739, 281, 968, 1432, 568, 519, 4909, 3017, 286, 1879, 596, 14974, 621, 1524, 267, 1141, 798, 23597, 543, 14308, 1218, 10990, 18313, 763, 2241, 2626, 568, 602, 649, 8428, 538, 938, 1620, 540, 1018, 5265, 13054, 4168, 968, 10461, 640, 2223, 3226, 538, 4704, 547, 10143, 13414, 543, 5939, 2245, 269, 1809, 875, 798, 649, 8428, 267, 2523, 2094, 14308, 1218, 4043, 547, 2543, 938, 5389, 607, 28429, 930, 4110, 540, 6392, 286, 634, 1739, 21658, 689, 519, 2361, 540, 1876, 949, 2709, 5813, 883, 519, 3017, 563, 2304, 16503, 1674, 689, 519, 4521, 7040, 454, 1103, 772, 2529, 269, 30271, 267, 17864, 543, 16488, 2721, 513, 11984, 1063, 968, 332, 663, 2218, 892, 6392, 543, 968, 11825, 24070, 892, 6392, 269, 13495, 2218, 6392, 814, 513, 11006, 3196, 2390, 1346, 945, 616, 6217, 513, 2013, 269, 29480, 6392, 267, 593, 519, 824, 1688, 267, 568, 711, 11006, 267, 855, 949, 4051, 610, 3391, 513, 9794, 593, 875, 547, 5265, 4341, 538, 513, 2013, 269, 898, 568, 16122, 585, 519, 9794, 547, 1246, 782, 16601, 6392, 267, 855, 1352, 568, 711, 3808, 547, 1246, 10388, 6392, 269, 11048, 267, 930, 3029, 540, 10388, 6392, 616, 4051, 633, 547, 513, 2013, 267, 1256, 547, 519, 4110, 602, 621, 1522, 2992, 14605, 593, 519, 9794, 945, 23304, 1841, 621, 563, 5331, 972, 568, 513, 2013, 1354, 513, 1533, 5480, 9794, 585, 13660, 17273, 6019, 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, 6624, 1919, 979, 883, 513, 1483, 6066, 2792, 1062, 269, 2290, 540, 873, 568, 998, 1584, 269, 589, 998, 1584, 1377, 3800, 519, 2179, 540, 1239, 13576, 998, 513, 3060, 693, 513, 2016, 942, 269, 901, 1826, 540, 6482, 849, 3322, 19961, 543, 26125, 269, 5637, 540, 891, 1919, 1404, 606, 1898, 1909, 538, 519, 2949, 1967, 540, 1022, 1483, 6066, 2792, 1062, 563, 7437, 1584, 568, 519, 2179, 540, 1239, 513, 2792, 3060, 666, 4483, 936, 930, 942, 269, 898, 568, 1419, 6027, 538, 11353, 267, 25466, 267, 610, 513, 4999, 540, 1312, 269, 769, 519, 2250, 267, 998, 1584, 729, 513, 2268, 540, 519, 7145, 540, 1804, 5010, 5904, 269, 4653, 267, 621, 3800, 875, 3533, 543, 28761, 513, 1062, 666, 1184, 6835, 563, 2467, 616, 1082, 1114, 14541, 12201, 1031, 547, 2268, 998, 1584, 269, 1452, 2039, 689, 519, 1297, 540, 3817, 5784, 513, 1357, 7746, 666, 6023, 829, 8792, 547, 519, 1297, 540, 15768, 594, 23860, 4238, 513, 4859, 1062, 666, 1685, 829, 2034, 269, 1809, 1018, 568, 519, 3017, 1063, 891, 3800, 888, 13828, 998, 1584, 543, 19961, 666, 581, 14845, 269, 2755, 789, 5815, 519, 2179, 540, 1239, 11843, 936, 513, 3060, 538, 513, 2016, 942, 267, 789, 666, 581, 3833, 1114, 563, 763, 1034, 7805, 11984, 568, 602, 998, 1584, 568, 519, 1297, 540, 1239, 21168, 2366, 998, 513, 2792, 8756, 538, 513, 1808, 1974, 269, 2201, 519, 824, 1688, 267, 19961, 568, 454, 1492, 7811, 5021, 2179, 540, 1239, 602, 666, 581, 10299, 998, 513, 3950, 538, 513, 9138, 942, 563, 8448, 2188, 849, 3310, 998, 1584, 543, 19961, 269, 1280, 3236, 267, 6808, 666, 3648, 1860, 998, 1584, 267, 1247, 5007, 13779, 666, 31358, 19961, 269, 654, 2231, 454, 663, 28339, 616, 12155, 547, 5957, 543, 15237, 936, 519, 1296, 267, 799, 666, 2569, 998, 1584, 563, 289, 663, 12296, 543, 26125, 616, 513, 1483, 6066, 2792, 3060, 781, 1079, 1034, 1271, 14573, 269, 634, 811, 19961, 596, 723, 267, 519, 18334, 1239, 786, 581, 6410, 689, 2707, 547, 454, 323, 652, 1588, 269, 2201, 519, 824, 1688, 267, 513, 3668, 540, 19961, 666, 2014, 2042, 267, 971, 607, 16171, 267, 14299, 6853, 3381, 267, 543, 4057, 8301, 2298, 563, 2414, 1174, 891, 1079, 1898, 2035, 540, 3060, 26125, 543, 19961, 267, 621, 568, 2556, 547, 1174, 741, 10486, 543, 3604, 269, 589, 1164, 19961, 1797, 513, 2603, 454, 3467, 1239, 267, 1247, 513, 1164, 26125, 2306, 621, 9875, 547, 1921, 609, 824, 3755, 269, 901, 568, 1317, 519, 26125, 786, 1491, 513, 811, 1713, 8167, 540, 519, 7227, 942, 563, 2690, 1383, 267, 18297, 3322, 23842, 1543, 689, 513, 7746, 269, 901, 3340, 2370, 3403, 689, 519, 6345, 267, 855, 519, 4890, 1404, 3724, 949, 581, 16607, 563, 1103, 606, 4950, 4276, 267, 19961, 3800, 519, 2179, 540, 1239, 8429, 998, 519, 3060, 693, 513, 2016, 4090, 269, 898, 568, 6027, 538, 19251, 629, 1080, 829, 2034, 630, 300, 321, 1186, 264, 610, 717, 580, 629, 1080, 454, 704, 2034, 630, 294, 321, 1186, 1916, 23272, 1890, 568, 519, 942, 621, 3217, 585, 513, 1239, 17142, 547, 2951, 689, 2707, 547, 10278, 269, 898, 568, 513, 1454, 811, 1950, 2268, 982, 19961, 855, 568, 2219, 547, 581, 519, 1732, 540, 519, 1079, 563, 4407, 19961, 568, 811, 540, 513, 2930, 2165, 267, 621, 666, 581, 22801, 269, 3509, 1004, 19451, 569, 8263, 19961, 4016, 547, 519, 3432, 540, 741, 5769, 4276, 563, 289, 5802, 7171, 568, 513, 1732, 13525, 540, 513, 3060, 781, 12588, 982, 3432, 563, 303, 1886, 698, 566, 8488, 568, 835, 540, 519, 1034, 2565, 2773, 14573, 269, 898, 781, 519, 942, 2838, 547, 6494, 513, 5365, 689, 519, 2707, 547, 922, 10278, 269, 901, 568, 2356, 513, 1599, 540, 519, 3432, 454, 1993, 1769, 855, 949, 4268, 563, 2026, 5121, 2333, 538, 2450, 267, 18640, 8488, 3587, 811, 7986, 269, 589, 476, 1220, 8386, 974, 17142, 540, 1239, 3217, 476, 21878, 3096, 630, 4926, 264, 547, 10141, 267, 1519, 519, 512, 335, 323, 318, 1910, 543, 512, 335, 323, 5091, 344, 454, 23437, 904, 269, 634, 9030, 20334, 616, 1279, 18714, 1071, 32681, 10814, 267, 9682, 543, 5925, 1949, 267, 543, 3059, 17176, 563, 2026, 513, 1267, 267, 621, 781, 16122, 547, 2697, 519, 2959, 540, 8488, 269, 1284, 991, 547, 917, 519, 16595, 2619, 998, 513, 5547, 547, 798, 713, 269, 2334, 781, 1018, 5484, 9779, 323, 1497, 2115, 547, 1265, 2336, 5629, 649, 917, 519, 16595, 2619, 267, 649, 666, 5173, 519, 5021, 18640, 8488, 269, 901, 568, 1572, 519, 512, 335, 323, 585, 519, 5547, 269, 1284, 666, 1287, 5173, 519, 18304, 540, 16607, 6786, 269, 1280, 454, 9987, 267, 7612, 476, 276, 2982, 519, 2360, 540, 519, 17799, 538, 1614, 1114, 5365, 6512, 342, 573, 2195, 563, 1103, 1034, 2665, 267, 513, 5547, 814, 18640, 17799, 540, 6289, 846, 6948, 269, 1452, 17799, 616, 513, 2834, 12136, 538, 5907, 5547, 1374, 269, 1879, 606, 3977, 6453, 2242, 689, 454, 869, 547, 1164, 267, 519, 18640, 942, 568, 20922, 607, 512, 12195, 295, 563, 10112, 11167, 513, 2582, 10766, 267, 649, 666, 5173, 519, 18640, 8488, 676, 14921, 519, 10766, 781, 570, 11520, 543, 10250, 3259, 269, 1284, 666, 5173, 554, 6025, 264, 2047, 1210, 519, 11201, 22263, 454, 3682, 21793, 6970, 4310, 676, 4400, 4678, 1890, 454, 11947, 26125, 538, 1483, 6066, 2792, 666, 1711, 1896, 2042, 269, 634, 1292, 835, 568, 602, 621, 666, 2736, 519, 2095, 540, 6643, 269, 898, 666, 849, 1291, 547, 513, 25314, 2255, 540, 8301, 543, 454, 341, 8721, 269, 769, 1840, 267, 621, 666, 1291, 547, 29987, 267, 2530, 540, 1239, 267, 543, 18106, 1870, 3157, 563, 23272, 1890, 568, 519, 942, 621, 3217, 585, 513, 7662, 547, 2951, 689, 519, 30699, 547, 519, 17513, 269, 634, 5180, 2389, 8692, 942, 2882, 519, 942, 621, 3217, 547, 4309, 267, 1184, 267, 543, 1232, 1712, 513, 7662, 563, 763, 26125, 666, 581, 2808, 950, 606, 5769, 16257, 630, 7709, 264, 3060, 568, 3810, 7856, 269, 1280, 1383, 267, 513, 1079, 10275, 559, 10309, 3845, 666, 723, 513, 26125, 540, 827, 2947, 547, 454, 1084, 1984, 1047, 6948, 269, 901, 949, 581, 18476, 950, 596, 2811, 8384, 513, 3381, 563, 4913, 267, 513, 3476, 7227, 942, 666, 2014, 2042, 1210, 513, 27215, 7709, 3028, 269, 4634, 513, 1906, 7643, 540, 8488, 666, 25010, 519, 772, 311, 563, 763, 942, 2838, 585, 1239, 547, 1847, 689, 835, 1062, 547, 1776, 5673, 593, 519, 2179, 540, 1239, 2366, 543, 4607, 269, 4400, 19961, 786, 2285, 596, 811, 1239, 693, 2899, 269, 13722, 454, 26245, 1890, 1797, 513, 1447, 16607, 3210, 563, 2026, 609, 1022, 824, 2460, 540, 2780, 13033, 267, 596, 1590, 581, 6297, 950, 5464, 707, 1062, 585, 26125, 269, 1411, 666, 2268, 707, 26125, 609, 519, 911, 1356, 719, 324, 4971, 563, 4407, 519, 2164, 786, 4268, 267, 26125, 7403, 786, 1577, 596, 917, 952, 707, 1062, 568, 18460, 4420, 6352, 1815, 802, 269, 1411, 666, 4894, 891, 4420, 6352, 1815, 802, 676, 1617, 603, 15105, 267, 25122, 267, 610, 454, 2171, 949, 4309, 862, 3827, 543, 824, 19614, 689, 713, 2376, 269, 1284, 616, 513, 6976, 7649, 540, 3906, 5018, 538, 713, 2376, 269, 0, 305, 17032, 568, 513, 2268, 540, 513, 1570, 779, 2702, 547, 5706, 3002, 2095, 269, 6969, 476, 3707, 276, 267, 519, 772, 29969, 6027, 713, 267, 609, 2539, 772, 1922, 716, 832, 1373, 1732, 693, 5706, 532, 3002, 563, 763, 15951, 681, 17032, 568, 513, 14931, 1297, 269, 634, 7939, 3340, 13471, 547, 581, 13042, 609, 513, 15951, 681, 17032, 6508, 689, 835, 540, 2185, 9516, 1449, 2409, 269, 7464, 8996, 681, 17032, 568, 513, 6422, 1297, 602, 2242, 4470, 593, 1585, 2188, 563, 268, 7698, 681, 268, 19368, 910, 4741, 6361, 4211, 822, 640, 681, 268, 19368, 910, 13068, 8862, 718, 681, 268, 19368, 910, 19940, 8862, 718, 681, 268, 19368, 910, 15788, 681, 268, 19368, 454, 305, 17032, 568, 1271, 267, 855, 2011, 24694, 568, 849, 2629, 538, 8159, 13471, 2773, 269, 634, 681, 17032, 1449, 666, 2268, 519, 2360, 540, 12768, 21063, 17787, 1369, 13471, 855, 711, 519, 2179, 540, 2011, 602, 949, 13451, 998, 519, 3774, 10198, 2899, 8704, 269, 0, 303, 664, 538, 519, 8405, 4523, 547, 581, 519, 8772, 3056, 2014, 540, 9659, 11451, 267, 18848, 3101, 3297, 29769, 545, 2295, 2068, 267, 6147, 15842, 341, 6018, 2068, 267, 543, 2539, 7929, 3968, 269, 3026, 1188, 1928, 666, 15936, 609, 3232, 1272, 267, 1519, 519, 2702, 547, 1745, 11327, 267, 3207, 267, 543, 2972, 942, 609, 1920, 269, 898, 568, 513, 1455, 12136, 1851, 519, 2324, 2551, 2356, 7722, 538, 10509, 6009, 610, 11380, 6009, 563, 306, 20891, 13183, 670, 2529, 267, 29447, 269, 14844, 1755, 12949, 267, 808, 785, 531, 7186, 10810, 4659, 267, 2798, 856, 602, 972, 616, 1896, 2188, 602, 666, 1267, 538, 8405, 1928, 899, 2566, 267, 4057, 14302, 267, 8377, 267, 4887, 6553, 267, 12263, 267, 543, 7063, 563, 10454, 1655, 1259, 547, 4308, 609, 8405, 1928, 568, 547, 7413, 621, 538, 519, 1101, 1747, 269, 14844, 1755, 15797, 3091, 2922, 543, 2500, 8925, 547, 4308, 609, 8405, 1928, 1510, 9991, 10352, 547, 519, 2427, 13716, 338, 540, 14453, 5061, 269, 2349, 2056, 538, 519, 22556, 540, 2067, 11257, 899, 10649, 267, 18552, 267, 11922, 267, 543, 22591, 267, 2059, 609, 6197, 12381, 267, 28571, 1755, 15797, 666, 3142, 5458, 8323, 689, 8405, 1928, 2437, 646, 3081, 563, 305, 529, 802, 540, 3026, 1188, 10266, 454, 763, 4274, 3081, 281, 834, 763, 1455, 3123, 540, 8405, 1928, 616, 4887, 8833, 543, 8229, 13496, 269, 1717, 267, 519, 2589, 4805, 3112, 5815, 799, 835, 540, 891, 568, 9648, 269, 26298, 8833, 2356, 2164, 689, 4057, 14302, 267, 7368, 17666, 267, 3207, 267, 2566, 267, 610, 4160, 269, 715, 2925, 13496, 666, 2049, 950, 513, 1167, 538, 519, 12636, 1793, 2354, 856, 540, 922, 2990, 543, 8930, 2583, 610, 2046, 525, 519, 13285, 267, 610, 950, 519, 8031, 538, 519, 8405, 1205, 28332, 610, 22224, 4929, 519, 13285, 538, 519, 1858, 547, 1205, 17065, 7458, 269, 21894, 519, 2014, 267, 5571, 5312, 8405, 1928, 12582, 1405, 581, 20495, 607, 621, 666, 1291, 547, 513, 10715, 540, 9659, 610, 1256, 8628, 3441, 4799, 9827, 267, 3367, 16123, 374, 1215, 1677, 28509, 2659, 3026, 1188, 10266, 14568, 454, 3891, 5267, 28571, 1755, 15797, 2081, 547, 1521, 8405, 1928, 912, 763, 3504, 1148, 540, 10649, 814, 1044, 7152, 547, 948, 1004, 609, 5312, 1928, 1519, 8405, 1928, 269, 5525, 723, 3254, 602, 10649, 607, 11446, 948, 547, 2569, 1928, 8226, 267, 10607, 10688, 267, 543, 6175, 6553, 269, 4634, 476, 1428, 547, 476, 736, 3764, 540, 10649, 5751, 513, 1554, 666, 6001, 519, 1560, 267, 12701, 519, 6091, 267, 2333, 1973, 10009, 267, 543, 7413, 519, 8458, 540, 8405, 1928, 269, 2368, 540, 519, 1455, 10649, 607, 11446, 799, 666, 581, 13736, 585, 8405, 1928, 616, 3057, 329, 926, 553, 3570, 630, 29272, 623, 846, 1070, 9779, 559, 553, 3570, 630, 290, 578, 623, 846, 1070, 7195, 553, 3570, 630, 21609, 781, 623, 846, 1070, 14844, 541, 1690, 553, 3570, 630, 3725, 743, 1456, 3828, 626, 623, 846, 1070, 966, 760, 541, 7534, 10127, 8643, 630, 26765, 338, 909, 519, 3774, 10460, 1070, 543, 14205, 553, 3570, 630, 17357, 335, 572, 623, 846, 1916, 9827, 267, 3367, 16123, 374, 476, 277, 7454, 24524, 29393, 1924, 1411, 2052, 11644, 7102, 3602, 454, 15703, 2090, 723, 11329, 856, 602, 18552, 3797, 666, 2709, 8323, 689, 8405, 1928, 543, 2087, 2039, 540, 5163, 950, 5340, 676, 11727, 4648, 269, 7136, 720, 3797, 2356, 3322, 519, 946, 540, 519, 3946, 547, 13861, 2571, 8031, 267, 899, 519, 28844, 543, 6091, 267, 2333, 1973, 10009, 267, 543, 2569, 4887, 8082, 269, 898, 2337, 547, 8897, 909, 519, 15319, 267, 15381, 543, 13888, 6091, 538, 519, 11983, 1858, 543, 8405, 3148, 563, 9827, 267, 3367, 16123, 374, 16874, 513, 646, 8157, 3018, 286, 3807, 476, 1015, 3764, 540, 18552, 786, 6001, 596, 454, 15463, 4472, 5574, 723, 1044, 1031, 585, 6502, 547, 1521, 24074, 540, 1114, 12204, 269, 4173, 4472, 14319, 666, 581, 521, 5792, 899, 7401, 267, 29689, 538, 519, 8602, 4248, 267, 1031, 607, 606, 3282, 267, 610, 31067, 607, 12906, 7752, 2805, 269, 8061, 559, 781, 1849, 1177, 568, 513, 2442, 10786, 602, 666, 15186 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11557, 3690, 332, 2598, 476, 1001, 279, 282, 476, 3393, 263, 280, 306, 4675, 331, 476, 272, 2567, 306, 272, 1700, 306, 277, 563, 278, 269, 631, 2444, 7637, 700, 267, 19994, 657, 328, 681, 267, 2349, 870, 808, 295, 267, 1696, 620, 269, 5556, 523, 1388, 32411, 269, 4208, 568, 621, 1869, 9648, 286, 808, 24717, 476, 2735, 275, 282, 476, 21857, 281, 14378, 280, 1700, 15094, 273, 563, 279, 269, 2677, 523, 743, 657, 808, 290, 267, 2480, 698, 7714, 631, 267, 654, 549, 1084, 808, 292, 269, 18567, 540, 11299, 540, 2661, 12256, 609, 22787, 32411, 538, 8419, 267, 476, 2735, 278, 1700, 2735, 280, 269, 2549, 808, 25731, 2723, 476, 1960, 273, 282, 476, 15793, 281, 4792, 278, 1700, 5780, 272, 563, 280, 269, 22994, 2917, 29273, 267, 5062, 11390, 1144, 11555, 267, 12722, 918, 299, 267, 1696, 620, 269, 11485, 2188, 585, 22787, 32411, 538, 12256, 540, 2021, 609, 32411, 538, 3162, 10491, 269, 2549, 808, 5398, 2657, 476, 1960, 279, 282, 476, 6434, 281, 6795, 278, 1700, 2568, 273, 563, 1015, 269, 681, 1170, 518, 654, 299, 267, 670, 342, 836, 700, 312, 269, 5556, 523, 1388, 32411, 538, 20831, 6019, 267, 7147, 267, 7330, 267, 476, 1960, 271, 1700, 10844, 281, 5549, 2064, 267, 3123, 543, 1981, 2188, 269, 2271, 808, 31969, 15978, 476, 1960, 278, 282, 476, 279, 281, 4817, 1700, 6200, 563, 1556, 269, 2782, 1676, 700, 267, 681, 5255, 520, 681, 310, 267, 674, 32218, 1676, 681, 305, 267, 1696, 620, 269, 7323, 539, 3255, 585, 22787, 32411, 6604, 538, 606, 4683, 25878, 6413, 269, 11557, 3690, 332, 2598, 476, 1220, 272, 282, 476, 2764, 281, 10844, 1700, 7176, 563, 1321, 269, 918, 1342, 590, 267, 14332, 523, 966, 289, 267, 8776, 337, 821, 661, 288, 267, 1696, 620, 269, 2422, 540, 3084, 32411, 13178, 1239, 547, 1020, 513, 22787, 32411, 6604, 22107, 1228, 543, 7447, 519, 1297, 540, 1761, 22787, 32411, 2665, 19011, 1540, 269, 11557, 3690, 332, 2598, 476, 1001, 279, 282, 476, 3393, 263, 280, 306, 4675, 331, 476, 272, 2567, 306, 2537, 1700, 306, 2764, 563, 1691, 269, 15544, 585, 8376, 6513, 543, 10644, 269, 769, 281, 2817, 3502, 16666, 15302, 24028, 11462, 3590, 630, 13585, 9169, 1040, 24611, 267, 21781, 281, 2475, 4972, 540, 2657, 543, 5274, 7896, 267, 15509, 267, 476, 1001, 278, 563, 1428, 269, 14943, 3873, 601, 667, 269, 4985, 547, 519, 4317, 10318, 514, 1218, 540, 1072, 269, 4317, 10318, 514, 1218, 540, 2657, 281, 8225, 21126, 269, 17842, 267, 4516, 281, 8225, 18623, 262, 4964, 267, 476, 1220, 275, 563, 1626, 269, 26588, 701, 570, 307, 267, 966, 719, 324, 595, 267, 14986, 10790, 267, 1696, 620, 269, 4317, 21876, 540, 7486, 25266, 543, 16770, 10299, 3676, 1851, 3109, 2021, 281, 20480, 585, 1072, 9698, 269, 808, 654, 558, 839, 2657, 630, 299, 1105, 31198, 264, 476, 1001, 273, 282, 476, 2641, 281, 27149, 1700, 22724, 563, 1704, 269, 13391, 13704, 2098, 291, 267, 918, 686, 1122, 518, 715, 267, 589, 2102, 528, 631, 267, 1696, 620, 269, 23305, 10168, 543, 1072, 31716, 538, 519, 7330, 281, 15845, 543, 7459, 269, 31102, 476, 1001, 278, 282, 476, 4343, 280, 281, 13970, 274, 1700, 16409, 274, 563, 1240, 269, 19371, 2006, 645, 269, 20677, 8635, 14573, 543, 2804, 1134, 5630, 538, 772, 2529, 269, 23195, 8579, 2127, 269, 2136, 2276, 17227, 13163, 269, 12232, 693, 281, 4179, 2517, 4178, 6983, 7185, 10993, 270, 20880, 7933, 600, 14727, 7185, 15828, 3869, 270, 11529, 1790, 3639, 270, 1001, 277, 7933, 655, 334, 270, 10345, 9391, 291, 8862, 303, 1001, 277, 268, 866, 15005, 454, 269, 21700, 5988, 476, 279, 267, 476, 1001, 280, 563, 866, 269, 2136, 2276, 3493, 25902, 540, 11982, 269, 22798, 268, 18076, 862, 5024, 1858, 9479, 269, 12232, 693, 281, 4179, 2517, 4178, 269, 619, 30994, 6767, 10993, 7933, 1092, 1790, 20094, 29265, 1116, 268, 18076, 268, 5570, 5024, 268, 19327, 2275, 3941, 13045, 269, 21700, 5988, 476, 1704, 267, 476, 1001, 278, 563, 736, 269, 670, 30257, 16692, 267, 654, 4536, 2742, 654, 267, 808, 2720, 590, 294, 269, 11930, 10803, 585, 519, 19884, 7070, 267, 476, 276, 628, 1196, 269, 11785, 281, 670, 32080, 631, 858, 4802, 267, 476, 1220, 274, 563, 2641, 269, 744, 262, 289, 31151, 681, 300, 269, 589, 13657, 3823, 3652, 540, 14853, 585, 13065, 10637, 2188, 269, 19120, 10829, 476, 1220, 278, 282, 476, 6078, 281, 6858, 274, 1700, 277, 3445, 563, 2420, 269, 23415, 10911, 267, 918, 31348, 2006, 23404, 267, 16110, 11404, 267, 1696, 620, 269, 30587, 1762, 4079, 585, 11342, 669, 31779, 658, 3968, 538, 2146, 5468, 269, 7788, 25731, 2723, 476, 1220, 279, 282, 476, 1240, 281, 28794, 1700, 6872, 272, 269, 0, 17780, 593, 7422, 689, 7189, 945, 5701, 5215, 540, 2550, 538, 519, 6855, 267, 519, 8549, 2657, 8433, 4957, 922, 3896, 547, 1331, 519, 1739, 2589, 607, 2009, 10832, 540, 13044, 268, 866, 3968, 3361, 676, 519, 11452, 912, 516, 701, 730, 24373, 609, 669, 1571, 454, 663, 1007, 6492, 610, 9329, 2530, 563, 7093, 16227, 267, 1152, 1614, 2589, 941, 7396, 281, 8611, 267, 11522, 267, 543, 7411, 7244, 563, 763, 595, 6185, 5861, 269, 3773, 519, 3670, 2589, 4505, 713, 3923, 1007, 7840, 941, 9783, 676, 606, 3919, 540, 1857, 1072, 16917, 328, 5505, 3743, 585, 10747, 799, 11763, 3676, 616, 27424, 543, 4080, 547, 519, 8116, 269, 634, 3919, 267, 519, 7027, 540, 3557, 543, 17197, 3645, 25731, 328, 5505, 610, 595, 2529, 11053, 9950, 1421, 5227, 602, 13044, 268, 866, 581, 2808, 513, 25422, 1867, 762, 2068, 543, 5795, 4808, 593, 875, 2665, 1058, 581, 3989, 543, 4857, 563, 763, 1895, 779, 7840, 1533, 602, 2665, 1058, 581, 4080, 952, 972, 616, 2318, 8047, 4255, 267, 855, 849, 952, 972, 616, 4791, 2589, 602, 2743, 835, 540, 1896, 12939, 2418, 269, 2290, 7121, 4145, 1004, 609, 11522, 267, 26032, 540, 7362, 610, 7411, 7244, 269, 6271, 5540, 1004, 609, 1079, 540, 519, 1739, 2589, 281, 8611, 267, 669, 1571, 267, 695, 1392, 267, 4887, 31191, 267, 14331, 267, 15319, 31462, 1846, 267, 610, 1007, 6492, 543, 9329, 7988, 325, 17313, 269, 27418, 540, 1004, 538, 1312, 6688, 1058, 1152, 581, 4080, 607, 2693, 547, 581, 13044, 268, 866, 952, 972, 568, 1100, 824, 811, 26363, 5868, 267, 519, 7840, 2161, 563, 4407, 1004, 945, 616, 9691, 2192, 609, 11452, 3968, 6140, 7985, 689, 8650, 26032, 540, 7362, 267, 824, 2589, 2404, 609, 519, 2068, 666, 4268, 4922, 267, 7189, 543, 3173, 723, 4080, 563, 2690, 1383, 267, 621, 814, 1044, 1336, 602, 1082, 1004, 609, 13044, 268, 866, 798, 711, 723, 513, 8611, 267, 610, 602, 741, 8611, 4679, 543, 11081, 543, 568, 3006, 10483, 676, 669, 1571, 563, 14112, 1145, 540, 7362, 666, 2049, 693, 519, 1482, 942, 607, 824, 2589, 267, 610, 10393, 2408, 513, 3018, 610, 1256, 476, 1015, 2395, 1310, 519, 5920, 540, 811, 19242, 2589, 971, 607, 11522, 543, 1928, 563, 5278, 1004, 1867, 513, 7415, 2530, 540, 9329, 543, 6492, 602, 666, 849, 2049, 609, 824, 7929, 5563, 563, 763, 15428, 595, 6185, 5861, 269, 634, 1592, 15320, 10169, 689, 519, 2589, 2622, 2657, 9257, 593, 1010, 3896, 269, 634, 14959, 269, 3081, 519, 1034, 1455, 2589, 616, 8611, 267, 3819, 11522, 267, 543, 9854, 269, 968, 5278, 2550, 949, 1995, 1928, 267, 17725, 20316, 267, 15319, 11563, 267, 610, 13165, 2223, 1767, 519, 654, 13034, 20166, 269, 3081, 269, 968, 4322, 2589, 616, 2356, 7646, 543, 1376, 7930, 3034, 13828, 8128, 4363, 1004, 547, 1294, 606, 6595, 4387, 952, 789, 723, 7411, 7244, 610, 10770, 1928, 610, 9221, 2604, 269, 634, 595, 6185, 5861, 269, 849, 3081, 602, 7525, 2564, 3007, 1058, 581, 8179, 952, 1004, 616, 10393, 11821, 267, 8572, 547, 1205, 9599, 267, 610, 952, 741, 17534, 610, 3068, 616, 17824, 880, 538, 2681, 269, 0, 6642, 276, 1107, 717, 2714, 12340, 321, 667, 2727, 2401, 11827, 1018, 568, 1419, 6444, 607, 519, 18634, 540, 519, 2413, 3154, 2599, 1107, 609, 513, 7299, 12718, 267, 543, 609, 17405, 22280, 998, 513, 16087, 675, 30004, 630, 6312, 5034, 538, 476, 6642, 278, 1916, 1432, 1705, 6517, 946, 1354, 3154, 888, 1692, 1705, 519, 1101, 6517, 960, 286, 589, 9252, 1286, 14616, 4492, 602, 12699, 1216, 538, 513, 15245, 269, 901, 1184, 1500, 9252, 602, 9450, 543, 14593, 16537, 976, 267, 799, 5828, 513, 1835, 3471, 3873, 1111, 269, 1323, 3167, 1286, 1185, 513, 6007, 602, 13324, 513, 1507, 3167, 5179, 267, 799, 5828, 513, 5397, 14788, 563, 1432, 729, 519, 1101, 2599, 13324, 676, 888, 1103, 476, 6942, 273, 267, 1977, 6723, 645, 2001, 2023, 11827, 519, 1101, 5010, 5277, 1922, 3241, 539, 4835, 13674, 2599, 269, 769, 476, 6942, 277, 267, 12832, 7637, 639, 32572, 267, 2324, 609, 717, 2714, 12340, 321, 667, 2727, 2401, 543, 30247, 2904, 22138, 267, 31601, 519, 19316, 5279, 267, 2185, 3613, 6593, 4783, 2599, 269, 769, 476, 6942, 280, 267, 20913, 5484, 345, 31601, 513, 6325, 1079, 3613, 6593, 3154, 2599, 563, 2691, 729, 519, 476, 275, 8482, 2599, 11827, 888, 8005, 1500, 519, 476, 272, 560, 1286, 888, 4002, 5130, 476, 3066, 267, 476, 6642, 277, 267, 14161, 5484, 345, 4294, 585, 513, 14664, 585, 1010, 968, 557, 327, 1834, 13324, 676, 513, 3154, 2599, 1848, 634, 14664, 1107, 1297, 476, 4391, 275, 3374, 1107, 949, 581, 9833, 607, 519, 4332, 15149, 540, 519, 18914, 269, 769, 5147, 476, 6642, 277, 519, 14786, 4080, 593, 519, 1101, 1857, 856, 532, 540, 519, 1614, 2914, 31856, 539, 5484, 345, 30171, 16359, 2961, 267, 2203, 1100, 269, 476, 272, 563, 4692, 2025, 6517, 946, 25793, 12184, 3154, 888, 302, 19520, 6517, 666, 2196, 593, 25793, 12184, 3154, 267, 855, 2057, 19844, 563, 7617, 3357, 1101, 17088, 610, 17405, 888, 763, 1101, 17088, 2599, 454, 6944, 847, 338, 941, 9896, 538, 4989, 476, 6245, 274, 267, 543, 538, 2038, 4832, 476, 6245, 274, 267, 667, 19342, 779, 1101, 18634, 2599, 729, 3710, 538, 4119, 338, 7921, 269, 2201, 476, 1015, 4864, 476, 6245, 274, 267, 519, 1101, 27307, 3576, 1747, 267, 519, 4492, 1031, 729, 4620, 1503, 563, 8005, 11827, 519, 476, 273, 8482, 2599, 888, 10111, 331, 5484, 345, 291, 1872, 12245, 1849, 17064, 454, 8489, 729, 519, 1101, 1286, 11827, 888, 1432, 1281, 2185, 8482, 2599, 1611, 888, 288, 2185, 3613, 6593, 2599, 267, 607, 519, 2012, 5267, 267, 814, 513, 25059, 602, 4422, 998, 2185, 18116, 630, 528, 1079, 1835, 3471, 3873, 1111, 26201, 264, 547, 2347, 835, 2407, 4783, 282, 519, 6981, 267, 13496, 267, 1379, 543, 9688, 8482, 563, 1692, 1281, 513, 2185, 8482, 2599, 960, 888, 1432, 3657, 519, 853, 15809, 540, 513, 476, 275, 4211, 19564, 5422, 286, 2311, 519, 1439, 540, 519, 13496, 630, 2181, 2365, 264, 8482, 267, 519, 8141, 11690, 11642, 543, 5337, 2572, 519, 19316, 2011, 11721, 3241, 7848, 269, 901, 27307, 270, 30161, 8531, 4229, 519, 25059, 1394, 1524, 519, 12718, 16004, 543, 29226, 519, 1835, 3471, 3873, 1111, 267, 4412, 2454, 519, 6174, 4464, 269, 276, 20413, 3522, 9326, 476, 1708, 271, 28314, 563, 1432, 568, 519, 4783, 540, 513, 2185, 8482, 2599, 888, 2304, 4835, 10687, 321, 755, 542, 2599, 4422, 998, 2185, 18116, 281, 6981, 267, 13496, 267, 13674, 630, 12741, 1070, 543, 9688, 563, 8005, 568, 519, 1297, 476, 272, 1286, 2754, 538, 519, 1158, 888, 299, 17999, 2961, 14992, 305, 1678, 4467, 11952, 15575, 787, 258, 272, 14157, 802, 342, 10402, 30051, 258, 273, 307, 1195, 7974, 297, 3253, 258, 274, 291, 2727, 2401, 30051, 258, 275, 293, 867, 16359, 18197, 2276, 396, 499, 27569, 397, 495, 476, 272, 11012, 4344, 4814, 30718, 3522, 454, 1432, 568, 519, 9510, 1286, 6216, 1869, 538, 2504, 888, 1432, 1705, 519, 1101, 1286, 1942, 888, 763, 5484, 345, 30171, 5336, 19318, 342, 10402, 3710, 538, 476, 6642, 277, 267, 568, 4922, 9833, 607, 519, 1158, 779, 1101, 18914, 282, 602, 568, 267, 513, 6174, 2966, 547, 581, 4412, 8215, 676, 606, 4835, 13674, 2599, 269, 634, 3312, 1942, 540, 519, 6174, 538, 476, 6642, 276, 729, 1269, 272, 267, 1822, 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 ]
[ 7524, 1158, 540, 19701, 3898, 5708, 1305, 1996, 519, 3638, 13795, 540, 3735, 11440, 3624, 269, 14190, 3054, 547, 581, 6273, 676, 922, 7415, 1686, 543, 20605, 9739, 269, 8414, 1603, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24679, 814, 1044, 1614, 5756, 2094, 519, 476, 1960, 273, 8313, 540, 519, 21722, 2027, 3390, 540, 17623, 15875, 3624, 602, 5059, 593, 968, 22437, 4479, 543, 6468, 781, 9177, 538, 17623, 15875, 3624, 1848, 4706, 2185, 25761, 4930, 941, 30363, 676, 1514, 12206, 19626, 28553, 543, 16910, 18333, 25391, 543, 676, 5339, 5640, 8575, 675, 523, 21662, 517, 543, 31130, 654, 573, 1067, 269, 28553, 543, 25391, 6825, 519, 2699, 18752, 543, 1714, 1075, 9179, 540, 519, 9115, 543, 10593, 538, 2021, 781, 2069, 538, 16159, 27984, 24810, 3885, 543, 519, 9840, 593, 519, 2470, 543, 29839, 540, 2021, 781, 1565, 538, 519, 30721, 543, 29305, 269, 21662, 517, 1642, 1386, 883, 2021, 781, 11269, 540, 741, 575, 25311, 1641, 8481, 543, 741, 5339, 16395, 547, 24808, 513, 5639, 540, 741, 1378, 538, 513, 21522, 1093, 7497, 7097, 539, 676, 5256, 15023, 267, 1247, 654, 573, 1067, 16626, 519, 5339, 9371, 540, 1603, 2021, 269, 272, 634, 4320, 1095, 3042, 543, 9415, 606, 9750, 7678, 540, 14172, 6131, 547, 1382, 593, 2021, 543, 4008, 538, 519, 3332, 267, 2528, 267, 543, 1686, 540, 3735, 11440, 3624, 269, 3509, 8441, 538, 14172, 554, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 10706, 14474, 257, 607, 851, 540, 834, 11227, 1315, 9210, 626, 565, 776, 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, 8702, 547, 938, 3460, 998, 942, 547, 2263, 519, 13300, 540, 10120, 1148, 256, 4653, 267, 649, 3513, 4685, 883, 519, 4241, 1158, 540, 3751, 1325, 325, 517, 810, 2473, 543, 1010, 7418, 547, 2575, 543, 1686, 269, 1411, 1522, 4898, 1018, 713, 814, 547, 798, 609, 1148, 1107, 1134, 267, 13793, 9395, 1317, 621, 781, 782, 4448, 256, 1284, 2811, 2469, 547, 1451, 827, 1945, 1572, 1412, 3528, 345, 14932, 12835, 2762, 10086, 1932, 256, 5213, 1405, 5855, 952, 602, 4992, 7294, 282, 676, 519, 1439, 540, 713, 3992, 267, 596, 3513, 581, 606, 4274, 2439, 5575, 267, 1577, 781, 2743, 3751, 1325, 325, 517, 810, 2473, 267, 849, 1634, 607, 834, 2704, 325, 517, 810, 519, 29216, 1701, 1261, 729, 513, 3579, 18560, 945, 12199, 8050, 1282, 519, 476, 6344, 271, 338, 950, 29843, 543, 28151, 941, 782, 519, 30270, 269, 1548, 5036, 1864, 6306, 568, 875, 646, 4547, 1927, 1004, 540, 1114, 4529, 1765, 13731, 2103, 267, 7642, 267, 543, 12356, 630, 10193, 1572, 7720, 832, 28931, 1729, 2661, 543, 960, 1927, 538, 10103, 693, 1010, 5480, 269, 5994, 2348, 2828, 689, 1114, 10080, 4687, 2984, 267, 1426, 267, 543, 5389, 1169, 1554, 256, 2334, 781, 4010, 1018, 1325, 325, 517, 810, 9415, 538, 1010, 10806, 780, 3086, 2501, 519, 4276, 547, 1148, 269, 1306, 851, 540, 2870, 513, 3309, 2146, 267, 1325, 325, 517, 810, 6462, 5159, 267, 5830, 267, 543, 12372, 269, 2290, 540, 1346, 13144, 729, 513, 1433, 4904, 609, 4190, 12383, 543, 2575, 4773, 6131, 547, 519, 7910, 6307, 1572, 834, 290, 656, 580, 553, 632, 13244, 12756, 257, 9497, 306, 29330, 540, 10513, 6307, 20257, 3807, 899, 707, 5172, 11609, 3209, 2221, 267, 1142, 2985, 1185, 5961, 6537, 676, 16805, 5159, 6029, 10207, 689, 3232, 1272, 543, 28986, 5340, 676, 519, 7910, 6307, 780, 3383, 1141, 1281, 20850, 12835, 2762, 2097, 883, 1404, 1934, 286, 4270, 267, 20850, 2511, 4016, 547, 11247, 1500, 896, 519, 3310, 540, 519, 20850, 7276, 267, 799, 11478, 1259, 1394, 1472, 476, 20065, 5084, 2394, 476, 13970, 274, 5084, 269, 4634, 1498, 621, 3323, 2484, 2476, 538, 4525, 2282, 10255, 543, 11894, 267, 922, 1764, 3262, 2066, 2342, 267, 1519, 8050, 269, 1879, 3168, 5702, 693, 519, 2592, 538, 1325, 325, 517, 810, 781, 834, 290, 656, 580, 553, 2437, 596, 666, 1294, 10486, 547, 20850, 1148, 267, 971, 607, 6366, 2230, 267, 12050, 3515, 267, 543, 6946, 3877, 780, 4131, 803, 2671, 835, 1383, 689, 834, 763, 14393, 31397, 3781, 540, 4708, 257, 18085, 27004, 269, 5457, 594, 5018, 4505, 602, 891, 3817, 723, 1312, 1913, 543, 5961, 286, 2201, 713, 1880, 2985, 267, 972, 616, 12372, 4730, 1585, 7405, 899, 3771, 1186, 269, 6733, 5402, 267, 543, 596, 949, 5469, 519, 2511, 20998, 20850, 1148, 256, 6423, 519, 2241, 2943, 22192, 8188, 543, 5515, 267, 2059, 609, 16560, 3270, 4478, 873, 286, 8409, 2609, 1397, 4296, 547, 20850, 12835, 2762, 780, 1103, 3932, 267, 3751, 1325, 325, 517, 810, 2473, 2813, 513, 2189, 1604, 1141, 1114, 4529, 3357, 1927, 267, 3056, 547, 5863, 1568, 540, 1148, 6273, 676, 20850, 6163, 269, 3571, 19121, 720, 8507, 538, 519, 5137, 540, 519, 834, 290, 656, 580, 553, 632, 13244, 12756, 2437, 4758, 721, 5813, 883, 1272, 1282, 519, 5664, 12698, 1247, 11744, 519, 5898, 543, 1379, 540, 2686, 5385, 269, 1924, 1985, 942, 2576, 19528, 15438, 267, 30842, 267, 610, 3504, 23693, 267, 3314, 602, 789, 14201, 1405, 1175, 15194, 936, 3338, 543, 20679, 855, 849, 5807, 6909, 7499, 10781, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21914, 1325, 325, 517, 810, 2473, 267, 8783, 2278, 540, 519, 476, 1724, 628, 2540, 5152, 1504, 267, 22616, 580, 553, 632, 13244, 12756, 630, 306, 29330, 540, 10513, 6307, 1070, 568, 4843, 538, 2413, 3332, 607, 513, 8797, 267, 27031, 4622, 945, 3576, 3268, 547, 1711, 513, 18371, 5480, 540, 10271, 267, 7642, 543, 7720, 832, 267, 543, 513, 12666, 10806, 540, 1565, 269, 1684, 891, 6811, 1796, 909, 547, 22987, 286, 901, 2376, 12116, 519, 2963, 1369, 519, 22616, 580, 553, 543, 519, 4622, 779, 1876, 9479, 267, 2938, 1369, 519, 9962, 2796, 540, 29629, 10389, 3864, 2528, 563, 1607, 568, 519, 11359, 540, 3670, 4930, 827, 519, 22616, 580, 553, 632, 13244, 12756, 267, 7768, 1063, 476, 10219, 278, 543, 476, 12553, 274, 269, 4107, 10120, 2575, 12439, 786, 581, 5432, 609, 519, 22251, 685, 1082, 26007, 540, 10120, 12372, 543, 741, 7405, 267, 543, 609, 930, 540, 922, 476, 22213, 8964, 269, 1452, 4930, 1445, 593, 519, 7506, 3297, 519, 15885, 543, 519, 9115, 540, 519, 8964, 563, 2171, 2253, 609, 606, 15747, 4528, 540, 11483, 300, 476, 30306, 281, 634, 14393, 31397, 3781, 540, 4708, 267, 5129, 593, 10120, 3771, 335, 269, 901, 22616, 27004, 799, 6645, 519, 1650, 540, 519, 7910, 7303, 5208, 914, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 3778, 1315, 3864, 1315, 4937, 1315, 20850, 27748, 2762, 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, 5629, 2390, 513, 942, 267, 538, 513, 669, 11035, 1747, 1572, 19778, 267, 972, 5030, 513, 1895, 540, 32463, 3957, 8891, 324, 267, 2717, 569, 267, 4793, 1399, 267, 543, 17722, 269, 1358, 941, 1655, 2828, 945, 6068, 547, 1404, 1927, 2282, 519, 476, 5390, 4544, 4262, 780, 303, 23176, 729, 513, 7381, 533, 21315, 1247, 2717, 569, 729, 2110, 282, 4793, 1399, 1185, 513, 5180, 17987, 267, 543, 17722, 729, 28489, 269, 4634, 1498, 789, 6743, 1114, 267, 789, 1869, 25374, 585, 835, 1776, 1175, 899, 875, 707, 544, 20207, 543, 546, 23098, 1416, 585, 596, 2439, 3080, 1554, 267, 607, 789, 530, 5417, 1194, 1472, 267, 8891, 324, 8068, 1945, 9490, 8345, 7404, 269, 1261, 4718, 824, 32463, 16116, 909, 890, 6277, 956, 543, 4758, 873, 547, 1776, 533, 21315, 269, 30985, 267, 646, 4280, 1010, 2828, 267, 834, 3963, 616, 1346, 32463, 4687, 10007, 12482, 303, 14709, 14452, 9900, 267, 834, 17764, 267, 8891, 324, 256, 8409, 32463, 616, 1373, 7874, 269, 634, 6149, 3766, 1516, 533, 21315, 6499, 547, 23666, 513, 2027, 2576, 267, 865, 621, 781, 5356, 7168, 890, 6277, 956, 607, 13344, 3010, 257, 9617, 899, 950, 649, 2671, 9162, 610, 22916, 976, 609, 938, 2828, 1282, 7591, 5503, 10590, 3773, 4793, 1399, 31113, 780, 24589, 760, 1287, 16403, 539, 538, 267, 834, 312, 1575, 256, 1656, 3006, 267, 1256, 6738, 13522, 2285, 6799, 1932, 910, 3314, 631, 16244, 781, 14512, 286, 1411, 5280, 4584, 856, 1200, 5172, 14735, 15323, 303, 23176, 21330, 24617, 1354, 6998, 1776, 2243, 267, 834, 3719, 1946, 798, 930, 32463, 960, 1927, 547, 1628, 20097, 12482, 15031, 1399, 6045, 267, 834, 11039, 267, 2679, 20097, 3217, 16542, 256, 3807, 899, 950, 649, 948, 631, 20207, 1305, 519, 3349, 610, 950, 667, 23098, 13976, 6181, 334, 20610, 609, 721, 3010, 2026, 789, 4797, 11287, 519, 32463, 262, 2623, 267, 789, 8068, 811, 5863, 1919, 269, 2368, 32463, 554, 3291, 1194, 2673, 1927, 1996, 519, 4411, 2842, 267, 2921, 7140, 3001, 2509, 519, 3636, 4099, 269, 901, 1259, 267, 3025, 3893, 513, 4960, 547, 1745, 18241, 2439, 257, 3674, 713, 849, 851, 540, 4730, 23182, 609, 1866, 8119, 9289, 8891, 324, 16965, 780, 303, 14709, 20493, 543, 1767, 267, 834, 8133, 267, 8197, 256, 898, 2982, 2463, 543, 11587, 1317, 1169, 533, 21315, 4991, 513, 2490, 547, 581, 15911, 269, 1284, 991, 547, 1521, 1866, 519, 1259, 649, 1616, 547, 581, 5701, 267, 1318, 12482, 4415, 2647, 4064, 2407, 540, 4898, 267, 8891, 324, 8815, 267, 834, 296, 1294, 256, 1924, 1373, 2186, 543, 5363, 3884, 1405, 1152, 1271, 1851, 721, 855, 849, 585, 891, 32463, 269, 594, 1589, 594, 1174, 1631, 269, 11289, 596, 267, 1250, 2828, 15323, 4517, 865, 267, 519, 2185, 2370, 32463, 4121, 3407, 4245, 827, 11505, 267, 9316, 267, 543, 12391, 585, 1142, 824, 910, 1100, 2339, 952, 596, 2811, 2462, 610, 1507, 267, 726, 2794, 610, 6094, 267, 10978, 610, 9602, 269, 2991, 782, 267, 602, 781, 1018, 2306, 741, 6126, 533, 21315, 2146, 2347, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 3662, 10806, 568, 513, 3309, 543, 4241, 7706, 602, 13315, 513, 5318, 5044, 540, 7068, 267, 1142, 609, 922, 2189, 4162, 543, 14624, 269, 3245, 519, 18784, 547, 519, 7372, 267, 2831, 2097, 538, 782, 5546, 543, 7306, 267, 27109, 606, 27314, 2039, 540, 5615, 543, 5759, 269, 769, 713, 3102, 3391, 267, 649, 786, 7832, 593, 513, 3460, 998, 519, 3662, 10806, 267, 3695, 519, 1585, 2249, 689, 589, 547, 2098, 267, 17766, 1769, 593, 741, 7350, 267, 9249, 267, 543, 4644, 538, 519, 2067, 1158, 563, 288, 1107, 4165, 912, 12901, 338, 616, 1514, 7786, 602, 4866, 547, 519, 1920, 4813, 545, 13160, 269, 1358, 616, 3810, 6896, 543, 2661, 538, 1804, 10125, 267, 8876, 856, 1585, 4247, 547, 2327, 519, 6668, 543, 13884, 540, 519, 2146, 269, 1452, 1802, 560, 686, 748, 7068, 616, 1634, 585, 741, 2702, 547, 12740, 3615, 1082, 2053, 741, 1378, 2597, 543, 585, 741, 1950, 2792, 1949, 563, 289, 1107, 19594, 912, 289, 8986, 616, 1804, 11864, 6353, 676, 741, 3532, 1628, 267, 5394, 9663, 267, 543, 9631, 16622, 5387, 2732, 269, 1452, 11141, 7068, 666, 581, 1336, 538, 642, 320, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 12292, 1315, 623, 27279, 1315, 31919, 4317, 10263, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2439, 1262, 4089, 476, 273, 281, 10049, 10261, 539, 1280, 853, 523, 4290, 532, 4373, 2414, 1205, 3323, 609, 23296, 4290, 532, 267, 596, 4465, 1405, 991, 1454, 693, 782, 256, 20283, 891, 2326, 1384, 272, 269, 589, 3490, 1570, 910, 7994, 1945, 6366, 1141, 596, 786, 1747, 707, 1374, 267, 971, 607, 1957, 267, 17198, 267, 3574, 267, 5958, 267, 610, 1256, 6821, 2336, 273, 269, 589, 23296, 4290, 1570, 910, 774, 514, 9212, 540, 3556, 18450, 267, 21449, 622, 630, 27234, 5068, 1070, 610, 1250, 24882, 960, 1134, 269, 5457, 267, 8726, 596, 3442, 1590, 3180, 922, 3337, 2899, 2759, 563, 274, 269, 28981, 2645, 910, 2480, 19538, 610, 513, 4739, 17180, 786, 948, 596, 1711, 5730, 11912, 538, 707, 23296, 4290, 1570, 269, 2142, 2386, 547, 2307, 606, 2937, 585, 6351, 952, 2877, 2336, 275, 269, 24484, 910, 3600, 23359, 19267, 616, 3501, 585, 14987, 1813, 547, 741, 17545, 543, 2653, 30749, 563, 276, 269, 674, 27961, 26814, 610, 29008, 525, 910, 1452, 1972, 2209, 1450, 9543, 2943, 9488, 3795, 540, 5862, 936, 707, 23296, 4290, 23761, 563, 277, 269, 570, 1901, 910, 10266, 614, 781, 11746, 2337, 5150, 707, 23296, 4290, 538, 1747, 1282, 3498, 563, 278, 269, 8838, 1308, 281, 7433, 28734, 610, 986, 7714, 910, 2422, 995, 585, 1025, 31857, 4430, 5862, 1055, 707, 11453, 1354, 7311, 621, 547, 707, 23296, 4290, 780, 1262, 4089, 476, 274, 281, 12861, 2659, 3689, 853, 523, 4290, 4373, 3086, 2501, 519, 1187, 851, 1107, 8888, 707, 1378, 2688, 23296, 4290, 256, 10670, 676, 11516, 4221, 707, 2856, 21066, 593, 707, 23296, 4290, 1570, 1210, 513, 15513, 269, 5901, 538, 2247, 602, 4130, 3877, 949, 2154, 811, 4674, 547, 2759, 856, 2973, 569, 269, 4495, 13854, 609, 707, 1374, 267, 10544, 707, 23805, 610, 4739, 17180, 543, 1246, 519, 7291, 5702, 269, 5213, 1405, 7340, 547, 2307, 606, 2937, 585, 948, 952, 2556, 2439, 1262, 4089, 476, 275, 281, 16792, 2659, 853, 523, 4290, 5071, 4373, 5629, 707, 23296, 4290, 814, 3144, 1106, 267, 1577, 781, 3142, 621, 547, 1272, 256, 16259, 707, 29683, 676, 8720, 1022, 2127, 4478, 707, 1788, 609, 11356, 610, 6749, 12308, 338, 269, 9255, 707, 3490, 1570, 1524, 543, 3413, 1460, 519, 23296, 4290, 18172, 1210, 18048, 781, 11746, 269, 32449, 513, 1507, 2179, 540, 5862, 5196, 513, 25551, 6676, 610, 29984, 269, 667, 760, 707, 17371, 11453, 610, 26703, 883, 519, 5862, 267, 4180, 1152, 513, 16434, 4494, 6227, 519, 9133, 269, 2349, 582, 1022, 4430, 5862, 5196, 513, 7404, 1957, 24621, 610, 986, 326, 269, 7053, 267, 546, 629, 519, 13556, 1907, 5196, 707, 23296, 4290, 6679, 4433, 1040, 15233, 2789, 1769, 6106, 3079, 540, 10296, 2182, 609, 513, 2582, 5230, 10359, 269, 4793, 1466, 17188, 1055, 1934, 256, 2991, 15603, 519, 5862, 3819, 267, 4894, 707, 23296, 4290, 5402, 547, 7866, 707, 20100, 2439, 1103, 3932, 267, 23296, 4290, 532, 3091, 11995, 7399, 585, 1582, 22325, 543, 7499, 3408, 269, 2060, 8766, 2200, 2838, 267, 4896, 666, 25793, 1662, 741, 6418, 7376, 543, 30996, 880, 4948, 3688, 609, 9159, 3270, 543, 18305, 269, 8414, 23296, 4290, 532, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21652, 18478, 2472, 616, 3810, 538, 3747, 269, 1656, 972, 616, 9748, 540, 2081, 547, 6133, 891, 3312, 13144, 267, 689, 2228, 2344, 17541, 547, 2199, 4739, 8637, 269, 1403, 596, 2461, 5461, 538, 4358, 513, 18789, 1870, 267, 1934, 616, 930, 29586, 1870, 2093, 596, 666, 1376, 1631, 563, 1432, 568, 513, 29586, 1870, 888, 288, 29586, 1870, 568, 835, 602, 23619, 2472, 1500, 676, 1688, 610, 2966, 676, 606, 4830, 1148, 16388, 269, 1703, 616, 9748, 540, 29586, 5370, 602, 2887, 883, 713, 7121, 267, 689, 11647, 547, 16493, 563, 3963, 1411, 9701, 6333, 18786, 2659, 13574, 7435, 18478, 6355, 454, 2252, 596, 2461, 5461, 538, 4358, 513, 1870, 538, 476, 1708, 274, 267, 1934, 779, 1946, 596, 1058, 2015, 9513, 29586, 2472, 912, 24478, 633, 4082, 281, 3509, 29586, 6300, 5411, 2490, 741, 12348, 883, 513, 1870, 269, 1924, 596, 666, 2972, 11589, 707, 5876, 1247, 7432, 513, 7443, 563, 20181, 909, 12506, 3790, 281, 7435, 18478, 15945, 616, 1851, 519, 1655, 4213, 547, 1376, 609, 1100, 2724, 269, 1411, 949, 1175, 991, 513, 1906, 2596, 5820, 610, 7727, 543, 513, 3896, 610, 2272, 593, 19458, 4609, 899, 661, 1206, 344, 563, 6781, 1006, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 1084, 4290, 5071, 543, 20520, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 853, 523, 4290, 532, 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, 5149, 476, 278, 281, 10289, 5824, 681, 15219, 916, 910, 589, 32425, 622, 17714, 998, 11831, 3336, 667, 3496, 692, 7072, 692, 1103, 519, 5318, 1158, 540, 3440, 3336, 15472, 267, 5824, 18819, 3180, 513, 2027, 1747, 269, 1358, 25407, 9458, 609, 741, 11763, 1648, 267, 24421, 908, 5322, 267, 543, 13730, 7215, 269, 1306, 7855, 267, 621, 3587, 2629, 547, 1683, 3255, 585, 6267, 547, 4497, 609, 891, 7524, 7544, 3029, 543, 2263, 741, 3140, 4644, 267, 7574, 640, 267, 543, 2930, 10848, 269, 769, 713, 1770, 267, 649, 5490, 2620, 883, 519, 4241, 7706, 540, 5824, 23929, 1369, 519, 2796, 540, 7900, 6575, 543, 3440, 3336, 7544, 269, 3414, 21599, 538, 521, 1023, 320, 267, 11024, 7302, 320, 7302, 5451, 267, 678, 3518, 320, 267, 536, 778, 1092, 267, 521, 31243, 267, 32488, 334, 798, 1076, 267, 543, 14861, 710, 8126, 334, 267, 1053, 786, 4228, 741, 20030, 1247, 14237, 513, 7096, 7071, 585, 519, 17381, 540, 1480, 5876, 543, 4082, 780, 4089, 476, 272, 281, 17959, 543, 12472, 540, 5824, 681, 15219, 916, 692, 2414, 5963, 1174, 1022, 7499, 23314, 267, 835, 1590, 1101, 4983, 922, 5072, 269, 4935, 267, 649, 2253, 938, 3460, 676, 3695, 519, 8129, 540, 2442, 5824, 23929, 267, 16439, 873, 1394, 547, 4000, 267, 8050, 267, 17577, 267, 543, 6805, 2950, 2429, 3162, 3013, 269, 1284, 1865, 875, 19525, 267, 8474, 267, 11776, 267, 543, 14051, 8329, 547, 5935, 891, 2189, 3350, 4938, 629, 983, 625, 543, 741, 2404, 2575, 11964, 269, 1280, 3236, 267, 25812, 4211, 889, 534, 7506, 666, 581, 2938, 538, 1312, 521, 1023, 320, 543, 678, 3518, 320, 267, 6466, 19384, 521, 31243, 12217, 7436, 540, 3979, 10437, 262, 3909, 12738, 20762, 609, 14082, 2528, 780, 11101, 267, 4207, 14624, 540, 2757, 5824, 23929, 1058, 849, 581, 9619, 269, 1280, 1383, 267, 2413, 521, 1023, 320, 16621, 2609, 689, 544, 14781, 267, 18711, 267, 543, 12048, 5577, 282, 13974, 267, 536, 778, 1092, 814, 7960, 3564, 922, 29401, 6243, 20297, 547, 9784, 1585, 3486, 6163, 269, 1635, 14344, 891, 13710, 3157, 267, 1053, 2744, 3407, 4030, 827, 2686, 5385, 267, 3961, 6214, 267, 543, 519, 1379, 6384, 7915, 538, 7499, 5137, 780, 4089, 476, 273, 281, 28042, 640, 543, 26435, 538, 5824, 667, 1734, 692, 5629, 5432, 1242, 609, 519, 1686, 3297, 5824, 18819, 267, 1053, 4685, 4514, 883, 7421, 741, 10058, 4162, 269, 3962, 7544, 1106, 11438, 1808, 32171, 267, 24754, 3270, 267, 543, 5283, 21288, 3889, 602, 27774, 1880, 1560, 3527, 267, 2022, 999, 267, 3723, 1740, 267, 543, 24574, 1359, 2553, 269, 1677, 9414, 267, 1577, 721, 2015, 11024, 7302, 320, 7302, 5451, 781, 5348, 19817, 730, 3268, 267, 799, 6474, 519, 3134, 11345, 24754, 4137, 1336, 538, 922, 18913, 23162, 544, 14781, 610, 5067, 2575, 269, 11531, 267, 678, 3518, 320, 12346, 8185, 593, 5714, 12048, 5248, 725, 543, 3500, 267, 2283, 783, 17267, 14436, 540, 922, 11509, 18405, 543, 1658, 573, 10605, 780, 10743, 1287, 4497, 538, 3946, 6823, 5751, 6322, 693, 3384, 10252, 20469, 4656, 267, 6947, 1983, 267, 543, 2930, 15334, 2838, 585, 22589, 8076, 5824, 7544, 5322, 269, 1452, 2238, 949, 4125, 8026, 2596, 3268, 267, 19234, 609, 1114, 4626, 902, 267, 1565, 2490, 3270, 267, 5355, 3666, 543, 4295, 4222, 267, 543, 17975, 7649, 2792, 269, 5015, 267, 16929, 6338, 4909, 3741, 5817, 782, 3440, 3336, 15472, 27137, 607, 7406, 267, 4276, 267, 1291, 17000, 6422, 267, 543, 18908, 1782, 23121, 2327, 4396, 5748, 2679, 780, 4089, 476, 274, 281, 13437, 543, 19809, 538, 5824, 667, 1734, 692, 2026, 2104, 22407, 267, 25287, 20802, 267, 610, 3274, 12439, 267, 2852, 1053, 4324, 7494, 689, 4974, 2500, 2994, 585, 9306, 5824, 23929, 538, 1585, 5468, 269, 901, 3296, 7512, 2565, 3206, 1472, 2152, 899, 28076, 1374, 267, 3942, 4527, 267, 5304, 6278, 267, 3929, 4082, 267, 543, 9423, 269, 4841, 5659, 32461, 689, 3318, 12644, 267, 7114, 1883, 3334, 7700, 547, 3811, 14245, 269, 3958, 267, 789, 29050, 28433, 2110, 13467, 7311, 4121, 2035, 267, 28285, 538, 513, 9910, 1606, 6011, 13826, 2680, 13296, 9905, 1683, 16268, 5955, 780, 2005, 568, 1898, 547, 2232, 5683, 3344, 7282, 6041, 950, 7234, 2773, 2853, 269, 11559, 5717, 827, 2686, 3261, 566, 8957, 7071, 267, 4101, 11475, 267, 5009, 4763, 267, 543, 5807, 13784, 1369, 519, 7900, 6575, 2146, 269, 6270, 19929, 948, 16491, 1053, 609, 2645, 2556, 585, 10188, 1950, 1514, 8916, 1247, 16779, 873, 547, 1831, 3743, 5159, 543, 4961, 780, 6962, 692, 1607, 1770, 5713, 607, 606, 27592, 547, 7832, 593, 513, 13858, 16939, 2066, 17407, 267, 4529, 267, 543, 5553, 267, 11461, 676, 519, 22023, 626, 1043, 10726, 540, 5824, 18819, 269, 13966, 519, 1259, 267, 1053, 7237, 16221, 2081, 3425, 723, 6829, 2933, 998, 7544, 267, 11543, 1007, 5380, 593, 1686, 267, 2486, 267, 543, 2123, 2208, 269, 11086, 267, 713, 1702, 18922, 883, 8476, 5578, 5036, 267, 3376, 2989, 20030, 267, 543, 15398, 8417, 2509, 519, 6946, 13795, 18955, 676, 8103, 781, 7104, 9345, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1001, 274, 9197, 2313, 16635, 454, 5978, 10588, 779, 5753, 19457, 519, 11146, 540, 519, 27400, 8551, 454, 763, 3923, 540, 5239, 814, 12926, 1044, 267, 538, 25143, 629, 1120, 267, 513, 942, 585, 15386, 634, 8551, 267, 2686, 2833, 543, 2621, 269, 898, 779, 513, 1390, 4316, 585, 2199, 29048, 547, 2671, 741, 1983, 543, 10781, 609, 1866, 267, 607, 1134, 607, 547, 581, 23353, 676, 519, 2833, 4547, 676, 23003, 543, 24299, 689, 824, 4025, 269, 769, 513, 3148, 1141, 972, 814, 1044, 865, 1454, 2295, 19874, 543, 27465, 2094, 519, 1376, 540, 713, 1032, 267, 649, 616, 2016, 519, 4960, 547, 2972, 543, 5660, 519, 1082, 5386, 2686, 543, 3860, 18697, 602, 616, 593, 2709, 538, 938, 1858, 269, 634, 4316, 547, 7119, 538, 543, 267, 2972, 267, 971, 513, 2647, 2039, 540, 2621, 630, 16341, 693, 2370, 610, 1100, 1942, 1070, 568, 513, 16990, 954, 331, 8775, 602, 568, 1279, 936, 16746, 585, 930, 2199, 1004, 563, 763, 2039, 540, 2621, 814, 1044, 5258, 883, 6688, 1107, 966, 3041, 308, 3201, 267, 674, 6579, 300, 267, 631, 4785, 2975, 2073, 26353, 1299, 20796, 9169, 267, 8863, 6579, 11403, 2894, 1299, 674, 4456, 6579, 312, 267, 5990, 2969, 3918, 267, 674, 2464, 30888, 28940, 1299, 27107, 17395, 4811, 267, 20796, 16775, 9816, 4916, 269, 901, 2376, 786, 1445, 593, 519, 631, 4785, 2975, 5057, 540, 713, 9493, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31142, 681, 15219, 916, 257, 607, 851, 540, 834, 25807, 19489, 300, 5058, 8121, 4811, 1315, 19933, 1315, 11831, 3336, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2451, 267, 782, 10580, 616, 6537, 3109, 282, 593, 1318, 267, 2699, 267, 3109, 543, 4544, 616, 1031, 1927, 547, 6542, 519, 3492, 878, 640, 540, 519, 10580, 563, 4407, 6620, 971, 607, 18961, 779, 5690, 616, 849, 4749, 1031, 538, 2413, 2780, 12449, 1317, 789, 666, 1489, 1884, 658, 328, 2084, 1492, 3432, 543, 16134, 540, 645, 637, 523, 5069, 779, 1899, 5690, 1797, 602, 621, 568, 1869, 1271, 563, 300, 573, 4812, 5858, 5690, 454, 1607, 2376, 949, 581, 14845, 610, 15458, 547, 3988, 269, 5565, 3620, 4348, 562, 27197, 2947, 3492, 878, 10580, 6537, 609, 536, 816, 523, 5069, 30268, 5858, 5690, 269, 1284, 536, 637, 22519, 345, 332, 676, 10747, 519, 8953, 5470, 607, 519, 3017, 1063, 519, 3169, 6041, 540, 519, 5858, 543, 519, 4099, 1448, 540, 1142, 18920, 610, 1022, 824, 17062, 6310, 1448, 593, 519, 18920, 267, 865, 1279, 607, 621, 779, 5812, 2066, 782, 19641, 563, 763, 5858, 12125, 2938, 11341, 547, 28149, 3697, 519, 24572, 7396, 2630, 267, 1152, 2272, 585, 835, 269, 901, 11887, 950, 547, 3526, 618, 1535, 269, 4746, 267, 1317, 621, 4145, 713, 12354, 656, 1152, 267, 519, 2473, 2418, 723, 1152, 476, 273, 3681, 281, 1773, 338, 1397, 519, 2347, 1982, 6721, 713, 3977, 563, 289, 637, 523, 5069, 779, 1899, 5690, 454, 1607, 568, 513, 1599, 540, 1152, 1535, 543, 621, 1131, 581, 3730, 547, 1118, 713, 3830, 2854, 607, 513, 1599, 540, 1312, 1535, 543, 586, 269, 22816, 12855, 12780, 814, 2923, 1644, 547, 645, 637, 22519, 336, 332, 5690, 269, 4635, 8847, 689, 9978, 3787, 14090, 4859, 269, 5502, 540, 2220, 2355, 538, 519, 3355, 5314, 946, 5470, 9819, 585, 1312, 8846, 1535, 543, 586, 8195, 15545, 1323, 10137, 547, 519, 3312, 5690, 949, 581, 1031, 585, 5373, 10580, 563, 289, 637, 523, 5069, 779, 1899, 5690, 1107, 9504, 454, 32381, 267, 519, 28321, 568, 519, 1482, 269, 15188, 713, 1599, 538, 513, 3758, 3957, 968, 321, 637, 523, 5069, 18118, 269, 634, 1267, 540, 713, 4729, 568, 3254, 547, 519, 1318, 269, 4595, 649, 917, 519, 6241, 267, 476, 868, 515, 18920, 779, 4737, 267, 586, 529, 2016, 676, 24263, 713, 7274, 547, 519, 14282, 8870, 281, 563, 763, 7928, 26398, 540, 10945, 538, 519, 5858, 3830, 267, 25066, 7215, 543, 4009, 5072, 666, 1586, 581, 14284, 676, 4744, 6295, 3388, 883, 2582, 3268, 543, 1210, 25276, 19106, 540, 519, 13392, 2474, 689, 519, 18631, 23200, 269, 22217, 4328, 713, 4082, 11729, 281, 563, 763, 4611, 11282, 568, 1287, 12261, 676, 4946, 30268, 10974, 269, 7490, 948, 721, 12172, 519, 2376, 269, 634, 2489, 3830, 540, 519, 1899, 998, 519, 1439, 9557, 568, 2016, 676, 15545, 4864, 6258, 875, 543, 950, 547, 4894, 713, 10959, 5048, 563, 21938, 6258, 875, 543, 950, 547, 4894, 713, 10959, 5048, 269, 901, 2985, 729, 2063, 9168, 593, 18848, 3596, 1889, 4989, 3473, 528, 527, 1335, 267, 693, 769, 645, 637, 523, 5069, 5206, 281, 15394, 621, 13978, 593, 519, 1482, 1535, 11282, 267, 536, 637, 22519, 8243, 3006, 8441, 676, 835, 563, 8196, 713, 6296, 1927, 609, 519, 3009, 689, 9978, 3787, 14090, 4859, 547, 1711, 513, 2407, 3498, 563, 288, 3375, 4756, 666, 581, 2813, 602, 11887, 952, 519, 1739, 568, 3020, 15545, 634, 6240, 540, 1210, 606, 31278, 5470, 538, 1747, 540, 6498, 4238, 814, 824, 3156, 538, 12449, 563, 1607, 2985, 729, 2063, 12995, 593, 476, 1626, 5239, 520, 3245, 9504, 267, 519, 1863, 22605, 269, 589, 2836, 4818, 4729, 614, 1185, 1044, 7923, 547, 606, 22126, 3842, 519, 1826, 23116, 23641, 269, 898, 568, 4122, 1031, 547, 2721, 1899, 2215, 14476, 538, 513, 3787, 14090, 3239, 552, 563, 25363, 7695, 602, 14405, 513, 5858, 538, 14103, 276, 17198, 585, 3872, 5301, 1152, 282, 972, 616, 1732, 2081, 547, 2721, 10580, 538, 17198, 269, 0, 13914, 679, 1333, 532, 875, 3744, 6108, 741, 5888, 543, 26871, 828, 566, 621, 547, 519, 26355, 268, 15161, 267, 3379, 547, 875, 519, 6293, 630, 10175, 4987, 335, 3639, 267, 17476, 267, 5925, 267, 8613, 267, 543, 519, 4950, 264, 24797, 1702, 269, 769, 707, 9708, 713, 3018, 10343, 519, 1310, 322, 1243, 2055, 912, 1692, 4749, 798, 596, 3494, 593, 6293, 585, 610, 2000, 9155, 1702, 547, 735, 601, 3664, 538, 707, 21755, 888, 17809, 728, 513, 11658, 3732, 540, 610, 2000, 9155, 2164, 1373, 26871, 828, 566, 539, 538, 6293, 630, 324, 3052, 1421, 513, 2770, 11641, 559, 1113, 267, 513, 2966, 2909, 326, 267, 610, 9808, 9535, 1040, 2142, 18468, 547, 9787, 519, 2212, 1467, 267, 14905, 8574, 267, 543, 835, 8360, 2079, 540, 519, 26871, 828, 566, 563, 6701, 972, 2053, 950, 621, 568, 2417, 3765, 1952, 569, 547, 3494, 593, 6293, 3146, 1584, 539, 5168, 543, 824, 2053, 950, 621, 568, 2417, 3765, 1952, 569, 547, 3494, 593, 9263, 24595, 610, 2000, 9155, 2164, 286, 11512, 563, 1432, 798, 596, 1566, 710, 568, 519, 9998, 9668, 1063, 16339, 2255, 540, 610, 2000, 9155, 2164, 538, 519, 610, 2000, 9155, 1135, 640, 630, 701, 518, 24595, 13746, 264, 543, 4987, 6293, 26871, 828, 566, 532, 888, 4692, 519, 6293, 18711, 519, 3664, 602, 596, 735, 601, 543, 875, 596, 1847, 679, 1333, 532, 513, 2243, 593, 610, 2000, 9155, 6514, 286, 11814, 693, 1611, 652, 835, 3732, 563, 12585, 519, 1310, 322, 1243, 2055, 454, 1432, 568, 519, 2770, 888, 14813, 1663, 27833, 568, 513, 8914, 267, 1058, 11216, 581, 19832, 547, 7038, 519, 2770, 610, 513, 7768, 286, 4208, 267, 610, 1946, 711, 888, 3963, 798, 596, 1616, 547, 1205, 513, 2770, 8929, 1142, 1032, 543, 1018, 568, 707, 2070, 679, 1333, 532, 3478, 519, 2770, 8929, 888, 25898, 621, 581, 11931, 547, 1413, 16519, 602, 5168, 3489, 1196, 340, 576, 606, 31331, 585, 14798, 538, 707, 21755, 5503, 286, 4208, 267, 610, 1946, 711, 888, 2791, 782, 7038, 707, 1378, 2994, 585, 7303, 610, 23232, 689, 513, 7768, 269, 7490, 15814, 707, 31561, 812, 4141, 12320, 516, 585, 21087, 626, 519, 6891, 1652, 7768, 269, 15331, 543, 10839, 513, 32446, 630, 920, 323, 3386, 952, 2693, 264, 602, 2901, 7028, 610, 13882, 707, 31561, 812, 4141, 12320, 516, 563, 763, 4950, 814, 536, 3150, 655, 513, 1360, 1857, 32446, 540, 3280, 1145, 1702, 269, 21414, 519, 17258, 540, 519, 32446, 596, 11292, 269, 630, 295, 842, 281, 6884, 596, 666, 4603, 713, 1702, 693, 519, 24536, 540, 519, 2620, 2985, 1916, 4692, 596, 4603, 519, 3479, 614, 888, 3674, 519, 3090, 673, 2854, 6405, 543, 1699, 888, 18800, 875, 3653, 321, 805, 515, 10784, 334, 568, 7038, 539, 630, 1492, 13236, 10784, 334, 602, 596, 5641, 1524, 519, 533, 1105, 2187, 13126, 281, 2475, 14899, 630, 333, 6155, 4700, 1548, 568, 654, 770, 1168, 831, 267, 543, 4208, 9373, 1555, 621, 286, 8158, 689, 10674, 2517, 8615, 269, 4248, 30994, 7714, 10993, 270, 9254, 11320, 340, 2346, 11258, 454, 1103, 707, 9708, 713, 513, 576, 10343, 519, 1310, 322, 1243, 2055, 912, 31711, 3653, 321, 805, 515, 10784, 334, 543, 2445, 606, 3732, 540, 1141, 3653, 321, 805, 515, 10784, 334, 24865, 538, 707, 1135, 640, 888, 5278, 6891, 1652, 2418, 540, 13236, 10784, 334, 29916, 616, 20173, 267, 3376, 1145, 267, 4551, 267, 9063, 543, 6757, 6878, 269, 7994, 513, 803, 8475, 773, 1324, 540, 13236, 10784, 334, 29916, 543, 2445, 606, 1011, 1709, 540, 875, 713, 29916, 568, 12595, 585, 538, 13236, 10784, 334, 543, 1018, 519, 12581, 7182, 616, 538, 519, 13236, 10784, 334, 6488, 563, 18800, 707, 3084, 1135, 640, 267, 4884, 267, 2749, 267, 610, 1936, 622, 2229, 779, 1357, 14006, 585, 1702, 543, 4507, 593, 13236, 10784, 334, 11091, 543, 3653, 321, 805, 515, 10784, 334, 9913, 269, 1411, 666, 1932, 946, 519, 16501, 2022, 547, 2445, 679, 1333, 532, 707, 3084, 13236, 10784, 334, 269, 10059, 2517, 31662, 613, 334, 269, 788, 320, 10993, 270, 3240, 4248, 3118, 13045, 8070, 693, 1611, 652, 835, 13858, 5168, 602, 596, 6394, 538, 707, 6514, 269, 2142, 18468, 547, 2445, 519, 1201, 20667, 585, 519, 1702, 1310, 513, 1247, 707, 2022, 563, 15563, 267, 6813, 519, 9913, 6073, 1031, 547, 16517, 3653, 321, 805, 515, 10784, 334, 538, 20863, 7765, 585, 621, 547, 581, 4847, 1439, 883, 519, 13236, 10784, 334, 4783, 610, 32419, 269, 1548, 568, 835, 1259, 547, 1631, 19074, 1875, 1790, 582, 762, 16894, 888, 3963, 798, 1651, 784, 745, 748, 5175, 3258, 3747, 1651, 784, 745, 748, 17783, 540, 5351, 543, 585, 6253, 529, 3146, 1783, 30254, 286, 10576, 519, 3232, 5227, 1608, 7595, 6981, 585, 707, 2085, 543, 3023, 563, 9773, 1559, 616, 8806, 513, 32230, 540, 1871, 618, 269, 7994, 707, 31561, 5351, 543, 2445, 519, 1608, 7595, 1702, 585, 476, 272, 7674, 269, 3973, 2445, 606, 3732, 540, 519, 2898, 540, 606, 15131, 4941, 547, 2186, 548, 1055, 602, 9663, 30254, 563, 1432, 5351, 2516, 616, 1978, 585, 513, 7059, 3728, 286, 1215, 798, 707, 803, 8475, 773, 1324, 513, 1719, 888, 290, 11857, 267, 2123, 4603, 543, 519, 1604, 16580, 14421, 673, 3280, 1145, 269, 11814, 606, 3732, 540, 875, 16968, 640, 610, 4079, 735, 601, 5351, 5079, 796, 8588, 547, 741, 1560, 779, 6499, 888, 21609, 3125, 1351, 335, 18834, 568, 606, 2810, 2898, 538, 519, 2136, 2276, 269, 1160, 2821, 513, 1259, 547, 1153, 16968, 640, 679, 1333, 532, 5351, 5079, 543, 875, 5351, 666, 16580, 741, 3280, 1145, 269, 0, 268, 1548, 568, 519, 6138, 540, 3450, 543, 1565, 888, 268, 1215, 666, 513, 4116, 581, 2500, 538, 519, 4928, 888, 268, 1548, 616, 519, 476, 275, 2010, 540, 1702, 888, 268, 1548, 1281, 3450, 543, 1565, 1611, 888, 268, 1215, 3494, 1453, 1451, 1655, 888, 268, 4208, 798, 1453, 1451, 8335, 888, 268, 1548, 568, 519, 1184, 540, 3450, 543, 1565, 1572, 888, 268, 1548, 568, 519, 1702, 827, 3450, 543, 1565, 888, 268, 1548, 568, 519, 1034, 2500, 1505, 540, 3450, 888, 268, 1548, 616, 519, 2010, 540, 3610, 1702, 888, 268, 1548, 568, 519, 2956, 540, 3450, 543, 1565, 888, 268, 1548, 616, 707, 4978, 827, 1565, 888, 268, 1215, 798, 1453, 1451, 543, 1020, 1271, 1983, 888, 268, 1548, 568, 519, 1909, 540, 513, 4116, 538, 1565, 1184, 888, 1432, 568, 519, 6138, 540, 3450, 543, 1565, 888, 7312, 3450, 6138, 568, 513, 1582, 18022, 29193, 3948, 540, 707, 4978, 827, 3450, 543, 1565, 563, 2005, 779, 513, 835, 547, 1079, 2985, 2239, 602, 27711, 707, 4295, 2093, 827, 1373, 606, 2500, 4116, 538, 519, 2796, 540, 707, 9015, 10756, 1692, 666, 513, 4116, 581, 2500, 538, 519, 4928, 888, 24876, 873, 513, 2601, 547, 3314, 707, 1362, 607, 606, 1271, 851, 540, 741, 2852, 1995, 256, 31339, 269, 5901, 707, 1053, 7722, 609, 513, 2318, 10182, 269, 2560, 16721, 1563, 269, 1411, 1058, 917, 519, 1576, 1570, 269, 2560, 5029, 1242, 269, 5620, 513, 1544, 585, 1018, 596, 1616, 547, 4001, 269, 2560, 13068, 269, 2560, 15765, 269, 2560, 21111, 269, 2560, 12876, 269, 2560, 5303, 17785, 21457, 3688, 7498, 1432, 616, 519, 476, 275, 2010, 540, 1702, 888, 7628, 713, 11144, 267, 2185, 2010, 540, 1702, 616, 2919, 281, 3616, 541, 894, 267, 27564, 267, 13865, 267, 543, 30717, 269, 13207, 541, 894, 1702, 3568, 6389, 5829, 5013, 543, 2035, 267, 1419, 10704, 593, 519, 2702, 547, 11913, 1125, 513, 2016, 1249, 563, 1432, 1281, 3450, 543, 1565, 1611, 888, 1103, 1463, 4214, 267, 3450, 568, 4758, 4245, 827, 513, 1880, 1641, 547, 513, 1895, 540, 6267, 269, 2755, 1565, 568, 11543, 1702, 676, 4974, 267, 1373, 6026, 543, 7680, 563, 1692, 3494, 1453, 1451, 1655, 888, 2171, 3494, 1453, 1451, 1655, 950, 789, 616, 538, 513, 2318, 267, 14637, 1604, 602, 2636, 873, 547, 1118, 5079, 543, 7512, 873, 547, 3398, 1312, 519, 2640, 543, 4539, 540, 1346, 5079, 563, 3963, 798, 1453, 1451, 8335, 888, 5472, 3214, 1451, 8335, 267, 1818, 621, 513, 4161, 585, 3610, 547, 20688, 741, 4245, 269, 2560, 10439, 6267, 4782, 547, 1294, 1007, 1344, 865, 602, 789, 666, 811, 3362, 3308, 1047, 1114, 2035, 543, 741, 3347, 563, 1432, 568, 519, 1184, 540, 3450, 543, 1565, 1572, 888, 1103, 519, 2361, 540, 27380, 267, 1565, 676, 3450, 630, 23389, 281, 700, 1716, 523, 546, 3420, 2274, 327, 1066, 267, 2110, 700, 323, 299, 264, 568, 513, 1505, 540, 3450, 538, 799, 1053, 616, 1500, 547, 1451, 1570, 543, 5965, 4245 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7233, 19032, 281, 12465, 11310, 538, 7849, 1473, 15282, 22384, 692, 1103, 519, 7706, 540, 12202, 543, 17801, 984, 582, 1415, 267, 2030, 8760, 4249, 513, 11358, 1909, 538, 1620, 519, 3601, 267, 3096, 267, 543, 1761, 2640, 540, 1585, 2030, 2249, 269, 901, 3184, 12538, 883, 519, 10578, 1158, 540, 2757, 1702, 2404, 609, 519, 8760, 540, 2067, 967, 15282, 2371, 267, 4481, 2519, 593, 741, 8446, 538, 8828, 3624, 269, 1635, 3695, 519, 4681, 540, 513, 2487, 1353, 3370, 538, 519, 4750, 540, 6599, 333, 984, 5735, 543, 6599, 333, 558, 14037, 710, 267, 649, 786, 10625, 875, 2199, 2950, 8415, 2189, 7355, 547, 6218, 967, 15282, 13594, 2298, 543, 922, 6286, 585, 20004, 2504, 780, 8139, 7233, 19032, 454, 5785, 19030, 6524, 11362, 883, 519, 25727, 540, 2067, 967, 15282, 8760, 267, 621, 781, 1898, 547, 9787, 519, 6626, 1523, 540, 2030, 8760, 3294, 269, 769, 9759, 267, 2030, 8760, 4016, 547, 519, 1184, 540, 11008, 1944, 1114, 2030, 2249, 1759, 593, 3838, 4162, 269, 1452, 6688, 1106, 21712, 1949, 602, 1450, 7762, 534, 1235, 267, 22254, 267, 543, 824, 12439, 547, 10891, 267, 1174, 267, 543, 5968, 811, 3927, 827, 1585, 2030, 2010, 269, 5871, 28944, 1331, 1920, 267, 12593, 267, 2249, 267, 3099, 267, 543, 5252, 541, 780, 25565, 11310, 543, 7849, 1473, 15282, 22384, 454, 24801, 15365, 20332, 967, 15282, 814, 1044, 6964, 607, 513, 20004, 585, 5553, 1813, 547, 922, 7524, 4544, 27280, 543, 5140, 3728, 1145, 3601, 269, 2755, 10991, 8925, 616, 1631, 2139, 267, 1082, 2950, 3136, 547, 4782, 2067, 967, 15282, 1317, 540, 922, 2686, 4644, 267, 6940, 267, 543, 9228, 9120, 2298, 269, 1306, 12006, 538, 519, 1382, 5018, 4505, 267, 2199, 5095, 4865, 3407, 2757, 1702, 3823, 2067, 967, 15282, 8446, 267, 799, 3648, 5222, 20004, 2298, 543, 7145, 780, 2162, 7600, 4997, 585, 10866, 16214, 692, 7437, 11042, 609, 476, 27543, 2757, 967, 15282, 1790, 4292, 29048, 2066, 1614, 16899, 538, 8828, 3624, 1765, 10817, 714, 17924, 267, 962, 18365, 534, 267, 543, 17540, 329, 1014, 1765, 516, 572, 2117, 1667, 4857, 1896, 1883, 7355, 8246, 585, 10442, 967, 15282, 13594, 2298, 1384, 265, 2878, 21760, 4995, 7822, 8515, 543, 7833, 640, 4196, 607, 1271, 10832, 540, 1164, 7779, 967, 15282, 13594, 269, 14730, 518, 18707, 3622, 2303, 2362, 9830, 540, 967, 15282, 20119, 563, 265, 2878, 302, 323, 528, 4995, 5438, 27624, 29048, 666, 20559, 11029, 3604, 538, 17627, 19501, 676, 4195, 8957, 9907, 967, 15282, 2250, 525, 267, 7175, 873, 547, 15378, 519, 29839, 540, 2326, 585, 10085, 4370, 5301, 563, 265, 2878, 17806, 675, 4995, 634, 9403, 540, 967, 15282, 13594, 9775, 4470, 593, 2188, 899, 18829, 942, 267, 2837, 267, 543, 11195, 2157, 269, 4400, 7779, 2250, 525, 3335, 8858, 5347, 543, 13412, 7907, 563, 265, 2878, 306, 895, 4995, 4787, 2683, 13492, 15161, 949, 1256, 7048, 593, 3280, 3812, 1282, 519, 11544, 610, 9054, 8172, 1184, 547, 3313, 2436, 519, 967, 15282, 13594, 10742, 5551, 4441, 780, 4322, 12007, 4879, 2409, 1683, 5813, 883, 519, 10427, 1620, 22234, 676, 891, 2950, 7282, 2067, 967, 15282, 8446, 543, 3498, 780, 23797, 4328, 12465, 11310, 454, 29432, 2414, 2417, 4983, 519, 16082, 540, 2757, 1702, 4478, 2067, 967, 15282, 6268, 267, 3173, 5189, 1614, 11050, 3800, 1384, 272, 269, 2878, 293, 15968, 540, 27375, 630, 15598, 264, 4995, 674, 290, 9356, 519, 6871, 540, 17013, 945, 11855, 513, 1880, 21205, 1851, 782, 5171, 269, 1280, 3236, 267, 952, 476, 2568, 260, 540, 954, 341, 773, 933, 525, 2808, 2681, 4105, 585, 967, 15282, 13594, 2298, 4879, 267, 1287, 519, 674, 290, 1871, 1131, 581, 476, 271, 269, 277, 563, 273, 269, 2878, 300, 1549, 12039, 630, 11085, 264, 4995, 24696, 6920, 519, 3328, 1297, 540, 2053, 513, 2016, 21205, 729, 6659, 829, 16045, 1369, 513, 3148, 269, 14451, 24696, 2418, 24901, 3152, 8561, 5116, 2390, 1978, 3344, 540, 967, 15282, 13594, 4879, 563, 274, 269, 2878, 293, 23474, 5426, 630, 14566, 264, 4995, 18919, 12238, 2471, 519, 4110, 540, 13618, 1851, 1217, 1218, 3823, 519, 2956, 540, 1367, 7355, 269, 898, 9832, 689, 476, 271, 547, 476, 1911, 9077, 1141, 2362, 21159, 5815, 6793, 6876, 593, 519, 10083, 540, 513, 1880, 8984, 780, 28274, 891, 14573, 4847, 3173, 547, 1843, 1947, 5635, 543, 4334, 6237, 7648, 538, 2757, 1702, 17640, 547, 2067, 967, 15282, 8446, 780, 3412, 4124, 543, 10241, 454, 10900, 19030, 763, 12319, 543, 2079, 540, 2757, 1702, 4478, 2067, 967, 15282, 13594, 4879, 2709, 3875, 3255, 585, 14027, 938, 8223, 540, 713, 3504, 2259, 1247, 8497, 2686, 6561, 269, 6206, 1491, 25498, 1331, 1384, 265, 18964, 5698, 1063, 3621, 4966, 543, 2757, 9439, 1223, 1291, 547, 4824, 10085, 4370, 2553, 267, 1587, 1646, 267, 543, 4264, 2853, 563, 265, 4860, 1388, 1436, 3646, 5059, 593, 17420, 13155, 967, 15282, 8677, 543, 5009, 741, 946, 538, 4207, 3156, 1058, 6451, 1312, 12170, 1239, 543, 2757, 7326, 563, 265, 12409, 3292, 6322, 693, 3450, 1762, 5481, 827, 2757, 2030, 8760, 2409, 948, 8190, 2686, 4763, 543, 6536, 7071, 585, 3140, 2853, 780, 3528, 8508, 519, 5763, 540, 1344, 8659, 1369, 2757, 1702, 10850, 267, 2413, 2257, 6763, 547, 2744, 7096, 4030, 5827, 540, 6117, 5647, 543, 3356, 538, 3309, 4610, 267, 1519, 12202, 267, 6683, 267, 4915, 267, 543, 3564, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26660, 21462, 281, 2757, 1702, 1031, 585, 2067, 967, 15282, 8446, 538, 7013, 3624, 454, 22711, 540, 6599, 333, 984, 5735, 543, 6599, 333, 558, 14037, 710, 4320, 476, 1704, 267, 9137, 1297, 281, 476, 1839, 630, 1708, 272, 994, 2026, 835, 540, 519, 9510, 2757, 24470, 267, 1004, 5001, 723, 1031, 2067, 967, 15282, 585, 5553, 269, 10871, 1004, 723, 2189, 1702, 827, 967, 15282, 8446, 267, 799, 568, 2629, 585, 967, 15282, 2298, 1852, 543, 8159, 519, 10085, 4370, 2360, 269, 1717, 267, 971, 2757, 1702, 568, 10355, 13006, 543, 6045, 269, 4475, 267, 519, 6663, 540, 713, 1353, 941, 547, 3561, 543, 2708, 519, 2757, 1702, 1031, 676, 2199, 1004, 950, 7114, 2067, 967, 15282, 13594, 607, 1134, 607, 11050, 569, 2263, 519, 4162, 543, 1570, 4493, 540, 971, 2757, 1702, 563, 16248, 2361, 12220, 941, 5342, 1063, 476, 1001, 280, 543, 476, 1708, 271, 269, 589, 2698, 540, 476, 27543, 2757, 967, 15282, 1790, 4292, 29048, 941, 26906, 538, 2871, 714, 17924, 267, 962, 18365, 534, 267, 543, 17540, 329, 1014, 28393, 806, 269, 634, 4908, 540, 11239, 267, 2446, 4994, 267, 543, 535, 23474, 1377, 540, 1142, 967, 15282, 1790, 4292, 2298, 1814, 518, 1470, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24456, 19032, 257, 607, 851, 540, 834, 294, 19181, 2894, 5058, 1315, 13129, 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, 276, 281, 6481, 22410, 543, 5983, 14750, 24768, 1108, 692, 276, 269, 272, 4985, 692, 20288, 14750, 2257, 568, 513, 23499, 2361, 5473, 1585, 9443, 971, 607, 7998, 267, 7350, 267, 6323, 267, 543, 6128, 269, 7324, 922, 1016, 4134, 4184, 1149, 267, 2564, 6514, 543, 18837, 6757, 1108, 616, 2565, 3334, 540, 7803, 13753, 1141, 789, 948, 3313, 519, 2014, 540, 2669, 267, 2697, 20715, 6878, 267, 543, 2708, 741, 1909, 538, 632, 1027, 757, 262, 27757, 269, 901, 3184, 12538, 883, 891, 1079, 2127, 676, 3695, 4143, 2553, 267, 5773, 267, 543, 3156, 269, 1284, 786, 849, 1865, 6932, 3466, 267, 2013, 2090, 267, 543, 5683, 9270, 2404, 609, 891, 4610, 780, 276, 269, 273, 6481, 1401, 3133, 725, 692, 21357, 18362, 1404, 513, 11358, 1909, 538, 8159, 519, 2014, 540, 2669, 630, 4596, 291, 264, 543, 7114, 1022, 5817, 2188, 7700, 547, 24896, 610, 9019, 269, 769, 1034, 22875, 267, 7972, 9648, 3544, 10506, 610, 896, 19035, 6381, 2154, 16601, 1313, 3591, 625, 5342, 676, 4604, 2275, 1068, 1881, 18837, 2619, 5505, 269, 634, 3119, 6662, 540, 2022, 332, 677, 655, 18362, 2882, 9591, 2910, 291, 267, 942, 2094, 2669, 630, 15056, 1070, 8446, 540, 21549, 2043, 267, 4015, 540, 10250, 2963, 267, 543, 12319, 540, 7063, 780, 8505, 641, 1910, 9828, 692, 2467, 616, 1614, 1292, 2409, 6964, 1282, 1313, 3591, 625, 281, 5007, 6514, 267, 4835, 6514, 267, 543, 1277, 1670, 2079, 269, 1323, 5007, 6514, 3322, 3308, 14791, 540, 519, 1560, 267, 15663, 1022, 21603, 16398, 267, 20015, 2478, 267, 610, 824, 17244, 269, 18378, 6514, 14122, 26819, 532, 519, 1351, 335, 572, 547, 7866, 4835, 8219, 267, 3850, 4879, 540, 1418, 2597, 267, 2681, 267, 9403, 267, 543, 1761, 15087, 269, 2876, 1670, 9382, 4125, 18784, 6268, 540, 5160, 5439, 26911, 1210, 7463, 24470, 282, 713, 4480, 2337, 3713, 11029, 2242, 22566, 540, 2068, 3157, 610, 8194, 780, 23005, 1456, 5384, 4595, 12280, 630, 15056, 2020, 15307, 26305, 519, 570, 16256, 568, 2629, 538, 18949, 532, 2621, 3056, 909, 547, 2669, 269, 11153, 4485, 2291, 585, 21501, 570, 16256, 267, 1519, 22759, 6180, 529, 267, 561, 643, 528, 6180, 529, 267, 3473, 528, 6180, 529, 267, 17883, 267, 7181, 9115, 267, 543, 5521, 2534, 269, 15519, 528, 6180, 529, 4016, 547, 4887, 13888, 2287, 1739, 2669, 1813, 547, 21085, 22930, 269, 700, 643, 528, 6180, 529, 2164, 689, 8904, 17466, 23928, 540, 1973, 1369, 8043, 4929, 2960, 32396, 269, 13641, 528, 6180, 529, 18575, 13302, 4295, 2837, 1310, 10009, 2781, 1162, 269, 1546, 1260, 6570, 5012, 547, 22150, 3270, 540, 9178, 6766, 676, 2825, 2175, 269, 853, 6729, 9115, 1683, 1344, 827, 12536, 3928, 1759, 593, 7594, 5888, 269, 7053, 267, 5521, 17091, 3270, 6556, 4030, 883, 12586, 1998, 1646, 5933, 267, 799, 5330, 547, 1808, 942, 325, 29707, 780, 15275, 2305, 10613, 692, 31339, 8446, 540, 3788, 5849, 1697, 6408, 12805, 543, 11151, 4636, 995, 3276, 10118, 269, 28871, 1031, 2409, 1331, 31937, 2079, 267, 5959, 5638, 6476, 267, 5027, 27992, 267, 543, 10236, 6248, 7403, 269, 674, 5424, 21646, 2611, 2189, 2429, 1272, 543, 4196, 607, 6325, 1541, 13294, 1256, 950, 4703, 14016, 622, 3648, 269, 15482, 5638, 1450, 4977, 16198, 1063, 1884, 655, 677, 655, 543, 2022, 332, 677, 655, 10237, 21106, 269, 5027, 13939, 689, 8031, 2488, 4719, 12632, 5078, 585, 22686, 19707, 269, 19848, 5852, 3800, 20258, 2934, 899, 15693, 7516, 267, 18215, 13080, 267, 3092, 1421, 14123, 4008, 267, 2085, 267, 22693, 267, 543, 588, 1155, 16759, 780, 276, 269, 274, 5983, 14750, 24768, 1108, 692, 20288, 14750, 6757, 1108, 9388, 609, 7020, 267, 8446, 267, 3067, 2787, 267, 543, 7664, 540, 30542, 984, 7821, 630, 1150, 793, 6464, 264, 1459, 538, 6211, 15013, 5833, 689, 2713, 5396, 610, 24767, 525, 269, 24391, 540, 6057, 267, 4568, 267, 6527, 267, 4853, 14107, 267, 2067, 1093, 11143, 267, 575, 13293, 267, 543, 8407, 2887, 896, 713, 1625, 1613, 269, 30551, 2645, 8246, 7854, 6375, 334, 817, 904, 267, 24885, 2762, 630, 24774, 267, 24605, 9448, 1070, 2527, 26563, 4479, 630, 5960, 1070, 543, 4715, 5268, 582, 5852, 780, 11854, 322, 11948, 9537, 543, 14635, 13832, 692, 26108, 267, 10729, 267, 3857, 516, 748, 9644, 267, 23925, 267, 23441, 9115, 267, 4552, 267, 18969, 267, 19975, 267, 17570, 267, 543, 8031, 13822, 1455, 3732, 2010, 9916, 538, 18837, 6757, 1108, 269, 7743, 10386, 10873, 2327, 4977, 1449, 4093, 1247, 10893, 12526, 4220, 269, 27814, 267, 6915, 22381, 1749, 1058, 581, 6394, 3842, 1463, 9006, 760, 15802, 2864, 982, 998, 967, 16946, 25108, 1562, 12155, 547, 12526, 269, 7984, 710, 5439, 1590, 581, 14023, 730, 16425, 547, 2061, 9190, 2208, 19249, 3075, 9830, 269, 22458, 22204, 5512, 24794, 8826, 4152, 17364, 1896, 3275, 269, 715, 841, 804, 2089, 902, 5351, 538, 13031, 5312, 4598, 1686, 269, 13937, 24885, 2762, 2173, 817, 26563, 4479, 630, 24774, 5336, 306, 264, 5713, 607, 513, 4154, 3044, 10763, 1505, 585, 6166, 2218, 4255, 8506, 1164, 8417, 543, 2824, 2032, 780, 11328, 13133, 566, 12694, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 16240, 547, 6258, 543, 4004, 6510, 538, 519, 5675, 2271, 2400, 6092, 454, 1103, 519, 1603, 14021, 1576, 267, 12200, 946, 1603, 547, 6536, 519, 1565, 1184, 269, 1280, 1082, 12200, 267, 834, 974, 2286, 1603, 257, 568, 513, 2721, 3724, 540, 519, 654, 296, 1576, 282, 2055, 540, 942, 2359, 630, 718, 1346, 3594, 14386, 543, 875, 547, 1205, 1053, 547, 2953, 741, 1378, 6959, 8451, 269, 2368, 10372, 267, 1287, 267, 585, 6220, 1603, 12347, 883, 519, 1576, 912, 268, 1975, 754, 930, 1362, 942, 7713, 519, 1603, 2838, 585, 519, 1576, 267, 543, 2328, 621, 782, 1524, 538, 707, 21038, 267, 609, 7899, 540, 7778, 827, 24117, 543, 6788, 454, 268, 5269, 621, 2312, 602, 519, 1603, 10467, 616, 606, 7533, 851, 540, 519, 1565, 1184, 538, 707, 1576, 269, 5213, 1405, 1577, 1053, 630, 528, 3054, 264, 1589, 540, 873, 607, 834, 611, 4765, 593, 4799, 268, 1975, 754, 1362, 942, 7421, 1806, 540, 1434, 543, 5140, 1603, 538, 519, 9015, 269, 8571, 2875, 3007, 547, 1808, 2553, 610, 2934, 630, 10139, 633, 5288, 3742, 5639, 267, 5037, 532, 267, 519, 14908, 540, 31047, 267, 5639, 5288, 642, 18757, 6804, 267, 3092, 264, 602, 596, 1616, 547, 1294, 538, 519, 1603, 789, 2490, 538, 585, 596, 269, 10886, 1944, 891, 12200, 6788, 607, 1898, 2035, 585, 2852, 1053, 568, 1175, 835, 1259, 1053, 1451, 547, 2328, 693, 519, 2852, 1377, 269, 8571, 1806, 689, 707, 1378, 1603, 282, 2721, 1806, 689, 519, 2542, 596, 3651, 282, 2721, 1806, 689, 519, 1053, 538, 707, 1362, 563, 268, 18859, 840, 8586, 2994, 630, 324, 3052, 1421, 23730, 267, 15819, 267, 11008, 1944, 267, 1863, 8586, 267, 6516, 2719, 267, 24152, 267, 543, 4760, 268, 15209, 264, 607, 1053, 17492, 707, 10467, 269, 769, 713, 1259, 267, 596, 666, 1451, 1141, 1053, 616, 2348, 8373, 1279, 1354, 596, 2503, 17117, 540, 519, 1344, 269, 769, 1840, 267, 676, 707, 10421, 540, 840, 8586, 267, 1053, 2253, 547, 1118, 519, 1570, 741, 1378, 269, 1403, 649, 1683, 7899, 540, 3255, 585, 1053, 547, 1921, 3206, 609, 1603, 267, 519, 2164, 786, 581, 4502, 519, 942, 649, 1902, 269, 4634, 5580, 1377, 1053, 4324, 689, 840, 2914, 3876, 2994, 267, 4352, 649, 1522, 2503, 873, 547, 723, 2907, 27058, 713, 2596, 1184, 269, 3194, 814, 7152, 942, 543, 1586, 602, 1053, 262, 1646, 543, 17117, 540, 519, 1603, 1983, 789, 991, 568, 19514, 267, 31411, 676, 513, 1297, 540, 2609, 936, 799, 519, 4116, 814, 1100, 1852, 269, 1284, 917, 267, 2705, 267, 602, 1053, 1451, 1655, 1018, 789, 798, 1419, 563, 268, 25849, 1896, 2110, 1603, 10467, 2966, 547, 2087, 2875, 3206, 543, 1603, 269, 1280, 3236, 267, 1053, 949, 2328, 11315, 31585, 267, 4760, 13366, 267, 24096, 267, 1382, 18747, 267, 23064, 12190, 13132, 267, 8039, 540, 3332, 267, 1433, 8039, 267, 3356, 8357, 7701, 267, 543, 7493, 338, 269, 14938, 9760, 1346, 10467, 689, 4130, 547, 3677, 2337, 1053, 1451, 547, 1628, 689, 835, 1507, 3787, 540, 3206, 883, 1454, 8273, 543, 811, 9691, 3222, 3206, 267, 543, 713, 2679, 1184, 991, 711, 1039, 593, 2730, 21249, 942, 547, 513, 11112, 4116, 781, 8430, 563, 268, 18859, 14469, 269, 1677, 23590, 1134, 267, 1053, 1058, 12212, 723, 1569, 547, 834, 701, 518, 8039, 257, 689, 741, 15032, 607, 1134, 607, 8292, 689, 519, 4116, 269, 4841, 949, 991, 7778, 689, 3610, 827, 1018, 834, 516, 9679, 257, 1797, 734, 865, 1683, 1806, 269, 14301, 1806, 689, 707, 1378, 1603, 1184, 2337, 547, 1629, 22438, 1518, 519, 1603, 585, 1053, 538, 1840, 547, 1480, 1944, 741, 20485, 563, 268, 9338, 310, 17751, 306, 6542, 1018, 596, 2811, 6998, 585, 538, 513, 1603, 7084, 269, 5213, 1405, 1118, 519, 1053, 7058, 1018, 596, 1616, 547, 1294, 563, 268, 2422, 21249, 28729, 269, 3502, 3388, 2115, 547, 581, 11117, 267, 543, 1382, 5267, 602, 1053, 1265, 1373, 24565, 1247, 1869, 1565, 568, 32485, 269, 1284, 917, 267, 585, 3236, 267, 602, 1053, 7722, 538, 3742, 1565, 1419, 1118, 2241, 9073, 593, 1919, 789, 2907, 917, 282, 607, 835, 1383, 267, 513, 2875, 4974, 2362, 1377, 6530, 1570, 949, 3132, 1603, 609, 513, 2603, 811, 26893, 6959, 982, 1010, 610, 1200, 3328, 269, 1284, 666, 2503, 547, 1294, 1970, 7400, 9073, 811, 1419, 950, 1053, 616, 1565, 282, 621, 568, 1419, 519, 2963, 602, 789, 25758, 1565, 269, 901, 12576, 1281, 711, 1611, 602, 2875, 1603, 991, 711, 581, 1224, 734, 332, 1276, 540, 621, 1281, 991, 930, 3210, 267, 2436, 6101, 610, 13680, 269, 1717, 267, 834, 326, 15665, 257, 11148, 547, 6494, 519, 5048, 602, 519, 960, 540, 519, 1603, 4305, 568, 936, 267, 513, 4831, 335, 8793, 5365, 585, 1053, 7722, 538, 513, 1272, 1279, 1565, 1184, 563, 30948, 568, 5675, 547, 6258, 8119, 689, 519, 654, 3722, 5358, 693, 12548, 3557, 2160, 563, 257, 2237, 547, 6258, 257, 689, 2160, 540, 29430, 269, 0, 2026, 519, 3923, 540, 5239, 3459, 547, 11200, 267, 649, 2968, 5051, 3222, 602, 649, 941, 1659, 1662, 538, 513, 4262, 540, 11909, 269, 1715, 4944, 3639, 2066, 519, 2197, 941, 3370, 593, 11909, 1957, 269, 3962, 10732, 267, 715, 14566, 6887, 7902, 593, 938, 7641, 26141, 609, 5716, 267, 19393, 543, 8387, 1810, 2740, 538, 11909, 7802, 269, 2859, 543, 811, 267, 2367, 543, 2021, 540, 782, 6502, 941, 2938, 609, 513, 5905, 540, 11909, 2336, 2791, 1294, 267, 5239, 568, 23213, 9435, 17607, 13600, 269, 634, 2817, 23213, 9435, 17607, 13600, 630, 301, 6195, 4456, 264, 568, 513, 5698, 540, 3084, 1857, 3028, 3906, 543, 2229, 8041, 267, 2324, 1927, 593, 606, 5993, 5859, 547, 2333, 4656, 540, 713, 2068, 563, 17954, 770, 9435, 568, 519, 1034, 1455, 2860, 540, 2021, 5001, 256, 898, 568, 6059, 602, 811, 982, 476, 272, 269, 277, 2929, 1007, 2665, 540, 6089, 2860, 2049, 538, 2021, 5001, 1142, 1032, 269, 19759, 569, 267, 3592, 476, 4335, 267, 1822, 1004, 5001, 5884, 689, 6089, 2860, 1169, 1032, 563, 2005, 568, 519, 3804, 540, 519, 715, 6195, 4456, 547, 3895, 23213, 9435, 17607, 267, 2671, 1344, 593, 519, 2068, 267, 543, 1683, 3152, 1569, 547, 2533, 2139, 269, 4595, 922, 27299, 811, 982, 476, 1839, 1296, 3516, 267, 715, 6195, 4456, 814, 1044, 693, 519, 21282, 540, 4543, 1004, 1491, 5279, 540, 741, 1378, 1072, 269, 4014, 1390, 26058, 723, 1044, 1500, 538, 6089, 2860, 4656, 630, 332, 2459, 2762, 543, 2038, 7020, 723, 1377, 539, 1055, 519, 2333, 540, 713, 2068, 538, 519, 2250, 8717, 264, 972, 3788, 1454, 811, 547, 581, 12913, 563, 2414, 3251, 538, 19820, 609, 1699, 2621, 267, 519, 476, 7785, 7132, 1053, 543, 3610, 693, 519, 667, 539, 5069, 5664, 3427, 267, 941, 968, 16780, 2227, 3022, 547, 5957, 11909, 547, 1153, 892, 593, 513, 2487, 11016, 269, 634, 3210, 729, 11566, 256, 1306, 3237, 12628, 1055, 741, 1453, 543, 519, 21772, 15504, 909, 693, 519, 4395, 7450, 267, 519, 4262, 540, 11909, 4797, 547, 1332, 269, 2060, 519, 948, 540, 4284, 269, 3798, 269, 11819, 10910, 25352, 3213, 919, 267, 649, 941, 2111, 547, 1895, 1927, 519, 8695, 543, 6690, 540, 9344, 476, 277, 267, 476, 278, 267, 543, 476, 279, 547, 1397, 519, 1158, 1107, 667, 5960, 968, 322, 4100, 3034, 1805, 800, 543, 16071, 281, 676, 15608, 18741, 5797, 0, 289, 1695, 1090, 328, 267, 645, 282, 744, 3149, 523, 267, 918, 282, 700, 987, 600, 267, 18027, 282, 10162, 788, 560, 528, 742, 267, 589, 282, 1234, 525, 267, 717, 282, 2605, 603, 267, 7131, 282, 630, 1001, 271, 264, 19630, 958, 3955, 716, 532, 9650, 338, 269, 13316, 2073, 476, 31696, 630, 276, 4200, 276, 264, 476, 10482, 272, 910, 476, 10482, 276, 269, 476, 1015, 269, 12208, 277, 4882, 7220, 269, 14093, 6872, 272, 279, 563, 17359, 1257, 711, 2139, 689, 713, 23789, 563, 1103, 4948, 1272, 267, 1082, 1004, 3494, 602, 1079, 9843, 616, 1732, 982, 835, 269, 3776, 2702, 547, 4194, 2042, 1927, 5526, 547, 581, 4909, 547, 519, 1699, 17282, 543, 2104, 6668, 540, 519, 1480, 2249, 269, 1809, 616, 1079, 9843, 2731, 1732, 982, 835, 286, 1284, 9619, 713, 2243, 538, 519, 2796, 540, 513, 7104, 1970, 7400, 829, 24632, 3375, 6194, 4305, 269, 1280, 1079, 24319, 540, 5176, 3160, 3308, 8417, 267, 1079, 9843, 941, 9090, 1732, 982, 835, 267, 3177, 789, 941, 2016, 519, 4316, 547, 5968, 11884, 267, 1256, 538, 519, 9000, 540, 1022, 5955, 827, 3375, 4093, 269, 1809, 585, 24319, 609, 1360, 1114, 3308, 22740, 8481, 267, 1079, 9843, 941, 2965, 8338, 982, 519, 1732, 835, 269, 1452, 9583, 15739, 335, 656, 3270, 540, 1895, 2623, 666, 581, 6045, 676, 513, 2203, 538, 799, 1079, 9843, 616, 7345, 525, 6099, 896, 519, 13429, 602, 2043, 8308, 5968, 741, 1377, 540, 6015, 593, 1169, 4693, 563, 347, 17138, 10573, 18893, 574, 958, 3955, 716, 532, 9650, 338, 2008, 347, 21292, 10573, 303, 8008, 308, 6369, 3582, 2910, 291, 2464, 267, 667, 4488, 3041, 12778, 5336, 288, 32578, 267, 21850, 9680, 6938, 3582, 267, 25783, 19489, 300, 23814, 2008, 347, 10813, 299, 8760, 10573, 10813, 299, 3436, 3427, 540, 5020, 543, 6481, 7070, 3436, 20513, 540, 11020, 7070, 3436, 10017, 543, 5678, 7070, 630, 19667, 1707, 540, 264, 3436, 4659, 540, 15465, 29249, 2008, 10813, 299, 3436, 3427, 540, 5020, 543, 6481, 7070, 3436, 20513, 540, 11020, 7070, 3436, 4659, 540, 27096, 344, 3436, 24919, 29249, 454, 10813, 299, 3436, 3427, 540, 5020, 543, 6481, 7070, 3436, 20513, 540, 5020, 7070, 3436, 30056, 32492, 29249, 5149, 454, 19425, 633, 16065, 8307, 281, 12575, 713, 2594, 0, 20597, 760, 547, 6301, 12474, 454, 763, 11628, 8092, 1955, 4526, 630, 3201, 296, 264, 568, 513, 1617, 529, 1051, 1537, 9300, 593, 4580, 519, 2817, 17224, 517, 2246, 923, 543, 6611, 10029, 3047, 9866, 6326, 476, 272, 630, 292, 302, 268, 272, 264, 9682, 269, 898, 814, 2147, 8901, 6571, 547, 14924, 520, 268, 278, 24046, 634, 15122, 631, 1952, 518, 9578, 630, 4953, 300, 266, 1070, 609, 1614, 3606, 19706, 13164, 269, 1284, 2919, 1007, 6620, 585, 21501, 1312, 2244, 2627, 29577, 620, 5523, 334, 543, 6978, 1858, 4994, 630, 6369, 296, 264, 689, 9338, 296, 1239, 269, 589, 5063, 2919, 11626, 15494, 5690, 585, 21180, 300, 266, 11052, 729, 6905, 547, 23074, 2627, 19706, 2992, 766, 689, 9338, 296, 1283, 6361, 27408, 4380, 1877, 7422, 269, 589, 4183, 1455, 547, 891, 6620, 568, 519, 946, 540, 1007, 1617, 529, 1051, 1537, 1344, 689, 9338, 296, 269, 634, 3606, 4544, 6512, 540, 9338, 296, 568, 1360, 3730, 538, 938, 11626, 15494, 5690, 267, 543, 1079, 3606, 9338, 296, 2282, 19899, 14518, 13164, 616, 3407, 585, 21501, 1312, 29577, 620, 5523, 334, 543, 700, 9590, 269, 16140, 7403, 693, 5617, 1206, 6807, 267, 11022, 267, 543, 23045, 3711, 958, 267, 5245, 267, 941, 1031, 547, 19472, 519, 2472, 6383, 676, 891, 6620, 563, 10481, 657, 7220, 543, 22647, 11576, 532, 267, 20959, 3690, 13905, 593, 630, 24127, 281, 6078, 2073, 17136, 281, 476, 277, 12467, 14630, 540, 22910, 281, 4873, 476, 1220, 274, 0, 24171, 24023, 729, 513, 13677, 22803, 543, 2168, 2447, 626, 269, 1261, 729, 4535, 593, 5412, 476, 2641, 267, 476, 5197, 276, 543, 5747, 593, 5181, 476, 1626, 267, 476, 5908, 280, 269, 769, 1010, 4876, 646, 1185, 6913, 4742, 513, 7548, 540, 7998, 693, 18722, 781, 5441, 538, 29161, 543, 693, 2160, 5441, 267, 5507, 543, 6368, 2968, 9457, 540, 519, 631, 842, 269, 24023, 6594, 519, 18236, 540, 9362, 689, 476, 9264, 279, 547, 476, 8146, 274, 543, 538, 476, 8146, 274, 6069, 24023, 383, 499, 338, 4521, 267, 799, 7150, 602, 519, 2557, 540, 18236, 540, 513, 3154, 568, 11201, 569, 14354, 547, 519, 4009, 3597, 540, 922, 7636, 2597, 563, 314, 6301, 9948, 910, 1496, 590, 30708, 9948, 0, 19968, 5411, 1419, 946, 1896, 1114, 2010, 540, 2359, 2645, 585, 7893, 741, 2754, 261, 3464, 31309, 282, 338, 2773, 269, 5004, 8051, 568, 606, 10512, 543, 2883, 2359, 1907, 1870, 5411, 946, 547, 6218, 741, 2754, 269, 9540, 1870, 5411, 949, 711, 946, 1142, 543, 1169, 2359, 8051, 1907, 610, 4480, 269, 1717, 267, 7598, 513, 1906, 2359, 8051, 2553, 666, 2087, 513, 1870, 8227, 261, 3464, 31309, 282, 338, 3375, 6194, 1184, 563, 10048, 1771, 8051, 568, 513, 1870, 1599, 3743, 585, 11018, 543, 8989, 4835, 2883, 1344, 269, 6355 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 597, 761, 656, 282, 4826, 268, 1156, 519, 544, 3233, 1156, 282, 4826, 3620, 1961, 513, 13111, 585, 1216, 513, 1216, 1790, 944, 282, 4826, 1465, 282, 4826, 532, 957, 540, 835, 945, 7297, 281, 519, 1148, 610, 1184, 540, 4758, 513, 530, 8283, 25798, 5920, 282, 4826, 532, 2275, 718, 513, 29816, 25041, 564, 1606, 793, 531, 547, 1216, 9640, 282, 4826, 532, 2275, 534, 910, 13607, 513, 6077, 1031, 585, 14450, 2371, 282, 4826, 532, 27440, 513, 1747, 1141, 9348, 3620, 8503, 616, 530, 23926, 282, 4826, 532, 268, 2897, 513, 1747, 1141, 1216, 949, 581, 5833, 281, 513, 1747, 547, 799, 1004, 18992, 547, 4235, 7777, 1216, 585, 28876, 1299, 322, 5919, 4826, 532, 2389, 893, 513, 512, 893, 538, 799, 9640, 543, 12418, 4235, 23102, 29951, 269, 4826, 880, 23401, 705, 15929, 538, 1216, 281, 10169, 1216, 344, 281, 6094, 23102, 985, 269, 4826, 880, 1145, 282, 4826, 18191, 871, 564, 513, 524, 2084, 5627, 1216, 5116, 1472, 4376, 547, 1832, 621, 3579, 1765, 10193, 4826, 1532, 2135, 543, 4826, 2173, 656, 548, 282, 4826, 10275, 601, 9225, 513, 23872, 1216, 1606, 2869, 527, 3622, 538, 519, 1106, 540, 513, 7504, 799, 1642, 2074, 547, 546, 3497, 7938, 776, 2951, 6840, 282, 4826, 6122, 3000, 513, 2249, 540, 6612, 1922, 12294, 282, 4826, 2000, 839, 513, 2241, 7828, 4646, 676, 11093, 513, 1906, 12772, 540, 1216, 538, 513, 1507, 21567, 1591, 609, 3109, 2989, 5011, 543, 513, 4837, 5377, 23102, 29951, 269, 4826, 1652, 15877, 1216, 23102, 985, 269, 4826, 7400, 519, 1377, 4646, 676, 519, 2627, 540, 1869, 1216, 281, 513, 1377, 1782, 6293, 538, 799, 1216, 568, 1031, 282, 4826, 2000, 1176, 513, 2012, 4122, 2016, 547, 519, 1114, 2249, 540, 715, 8233, 2801, 320, 543, 715, 25045, 541, 543, 849, 540, 715, 601, 3518, 1756, 782, 25281, 540, 519, 2067, 1931, 715, 8233, 2801, 320, 543, 8197, 1419, 6905, 547, 782, 519, 2371, 540, 602, 1931, 1765, 1993, 519, 1614, 3703, 2249, 782, 723, 2295, 11057, 3762, 13735, 593, 519, 1216, 282, 4826, 11060, 519, 1899, 593, 513, 6928, 547, 799, 519, 1216, 14380, 281, 513, 1216, 27360, 23102, 29951, 269, 4826, 2000, 690, 3022, 21235, 2845, 6438, 610, 30313, 720, 762, 689, 1373, 4904, 609, 1216, 23102, 985, 269, 4826, 2000, 582, 513, 2603, 540, 2666, 799, 568, 896, 1216, 282, 4826, 31720, 513, 1390, 1016, 614, 10328, 10612, 23478, 1216, 538, 4872, 282, 4826, 2006, 513, 812, 945, 726, 625, 513, 10935, 593, 1216, 585, 16926, 281, 513, 10935, 2006, 281, 513, 7542, 787, 2006, 281, 513, 16517, 522, 1513, 2006, 282, 4826, 26206, 522, 1513, 26206, 282, 4826, 5658, 513, 1665, 6029, 519, 4463, 547, 799, 1216, 814, 24111, 281, 513, 20352, 27360, 281, 513, 1665, 530, 3754, 883, 1957, 3954, 7627, 922, 2450, 610, 922, 10672, 23102, 341, 6745, 269, 547, 1665, 609, 1216, 2173, 10225, 23102, 985, 269, 4826, 2173, 1737, 578, 513, 803, 20760, 21237, 24492, 539, 676, 513, 6908, 282, 4826, 2173, 601, 517, 513, 2030, 2348, 513, 20085, 5102, 6853, 16990, 569, 7657, 10696, 4829, 519, 4829, 3294, 282, 4826, 2173, 2678, 606, 6293, 7893, 519, 7274, 540, 1216, 8429, 998, 621, 281, 606, 6293, 585, 7893, 21381, 282, 4826, 2173, 650, 513, 1984, 9141, 676, 1216, 282, 4826, 2173, 1961, 519, 964, 2006, 281, 513, 21868, 2173, 1961, 610, 21868, 1532, 2683, 3531, 2988, 639, 282, 4826, 15065, 4486, 606, 552, 691, 1156, 2264, 20220, 585, 5329, 6704, 21226, 538, 3905, 16374, 5180, 609, 7522, 8405, 1765, 10193, 3933, 4486, 18191, 541, 282, 4826, 2173, 16230, 30004, 1022, 1216, 2914, 31856, 610, 17081, 17611, 269, 1022, 1507, 5179, 9141, 676, 1216, 896, 2604, 282, 4826, 5991, 1460, 344, 513, 6891, 7610, 1746, 1216, 282, 4826, 5991, 8233, 513, 715, 2967, 611, 282, 4826, 268, 537, 1088, 519, 1019, 3899, 282, 4826, 1790, 1513, 30876, 513, 2030, 540, 519, 12748, 12593, 590, 1756, 9789, 1236, 597, 4958, 282, 4826, 12268, 532, 630, 338, 877, 607, 27347, 1117, 5148, 4826, 268, 7483, 606, 6293, 585, 16326, 20984, 538, 12992, 282, 4826, 1790, 6559, 513, 10612, 585, 23187, 1216, 282, 4826, 13807, 2033, 513, 7077, 8429, 998, 513, 6077, 950, 513, 15615, 282, 4826, 268, 8690, 513, 2030, 799, 9428, 538, 1216, 282, 4826, 13807, 622, 513, 6676, 2348, 513, 5595, 5377, 543, 513, 2230, 585, 3905, 1216, 1031, 547, 1832, 1426, 3636, 282, 4826, 1790, 16230, 5979, 606, 12748, 3014, 5129, 676, 7669, 11302, 538, 10977, 1532, 23411, 693, 533, 4536, 1299, 322, 269, 519, 5011, 1297, 532, 5722, 1142, 12544, 3804, 268, 24010, 1079, 19758, 835, 3368, 25746, 543, 1614, 585, 2072, 282, 4826, 1790, 582, 513, 1494, 610, 6077, 585, 8066, 1216, 282, 4826, 27703, 519, 1379, 540, 1216, 6964, 547, 1847, 12227, 1299, 322, 5919, 4826, 1790, 2135, 15254, 545, 7578, 282, 4826, 17376, 643, 850, 613, 519, 1318, 547, 519, 946, 540, 1216, 17611, 269, 585, 12227, 23102, 29951, 269, 4826, 16513, 6169, 1996, 1216, 281, 711, 28498, 1216, 547, 4283, 23102, 333, 269, 4376, 609, 971, 7907, 281, 513, 28630, 540, 930, 28890, 6219, 899, 15242, 268, 13041, 828, 23102, 985, 269, 4826, 16513, 532, 519, 957, 540, 1818, 1022, 6219, 6650, 2365, 547, 1216, 281, 519, 1570, 609, 799, 513, 3364, 568, 1500, 28890, 607, 1309, 719, 577, 537, 322, 282, 4826, 1790, 2794, 513, 6802, 585, 1216, 1031, 9644, 3585, 540, 519, 4064, 282, 4826, 1790, 584, 9225, 630, 9928, 582, 4700, 2156, 758, 2000, 830, 513, 2249, 540, 7638, 517, 3821, 282, 4826, 268, 571, 559, 519, 1455, 7841, 540, 2342, 282, 4826, 268, 1090, 513, 17453, 15155, 282, 4826, 268, 7806, 519, 2442, 2012, 540, 519, 1216, 8686, 1961, 281, 519, 1977, 1660, 330, 268, 7806, 282, 4826, 268, 3433, 513, 2557, 610, 3454, 585, 519, 3761, 540, 1216, 282, 4826, 268, 709, 974, 513, 6908, 10720, 1299, 322, 269, 1031, 607, 513, 1797, 540, 2951, 282, 4826, 268, 2607, 630, 4537, 752, 4700, 513, 2186, 540, 2915, 282, 27347, 1117, 519, 1899, 799, 24508, 1079, 5757, 1532, 553, 1231, 281, 513, 8664, 689, 799, 1896, 8933, 4473, 282, 4826, 20933, 519, 1490, 1074, 540, 1216, 281, 519, 4262, 6879, 648, 282, 4826, 23337, 5803, 1216, 18493, 908, 607, 7298, 5134, 282, 4826, 1606, 333, 820, 513, 13131, 7928, 532, 519, 1216, 282, 4826, 1606, 1245, 1512, 606, 12748, 2030, 630, 1805, 7806, 3999, 525, 620, 334, 421, 352, 478, 525, 264, 1455, 538, 12647, 543, 546, 9662, 538, 519, 7532, 540, 4789, 282, 4826, 1606, 3966, 1408, 630, 5408, 1975, 534, 1408, 5148, 4826, 17898, 13682, 1457, 606, 12748, 17178, 282, 27347, 335, 719, 513, 10612, 689, 799, 1216, 838, 8083, 281, 513, 3001, 838, 719, 610, 6241, 540, 1216, 1419, 2938, 693, 4262, 543, 3006, 593, 2244, 282, 4826, 1606, 1440, 30257, 630, 8967, 839, 4700, 513, 1216, 1790, 582, 282, 4826, 17898, 1679, 513, 6891, 7610, 1746, 519, 1216, 23102, 29951, 269, 4826, 29280, 630, 4537, 752, 4700, 5627, 1216, 15237, 995, 23102, 985, 269, 4826, 268, 1598, 3187, 1022, 12748, 10636, 16239, 748, 5521, 540, 519, 1920, 10281, 13681, 520, 573, 282, 4826, 23418, 569, 519, 13844, 543, 3892, 540, 6190, 1216, 547, 519, 11317, 540, 513, 4884, 281, 519, 2179, 540, 1216, 3976, 7856, 282, 4826, 2389, 5953, 1076, 513, 22285, 532, 610, 824, 16879, 538, 519, 3774, 540, 513, 2679, 547, 12235, 1055, 519, 1216, 282, 4826, 2389, 1678, 513, 7382, 610, 28250, 1181, 585, 8066, 1216, 282, 4826, 2389, 777, 513, 7148, 610, 15483, 1031, 585, 15603, 856, 1216, 282, 4826, 268, 750, 332, 10309, 513, 26282, 4904, 609, 1216, 3079, 540, 16035, 543, 1031, 585, 6029, 519, 1448, 693, 799, 1216, 4203, 2231, 922, 6574, 5860, 282, 4826, 6253, 3971, 630, 4537, 752, 4700, 513, 19266, 622, 23102, 29951, 269, 4826, 2389, 697, 865, 9395, 607, 711, 547, 16153, 1216, 6862, 1577, 621, 9101, 1765, 263, 12850, 2389, 697, 26654, 513, 6498, 540, 513, 6928, 781, 26083, 610, 824, 1016, 8584, 23869, 2497, 865, 4646, 602, 1216, 3112, 4283, 621, 689, 1022, 824, 851, 282, 1294, 10089, 330, 3650, 1040, 1765, 985, 269, 4826, 2389, 4209, 513, 10612, 585, 4764, 21226, 282, 4826, 2389, 342, 626, 513, 2186, 540, 10412, 2389, 342, 626, 1101, 1500, 676, 519, 1216, 1922, 9347, 282, 4826, 8686, 13682, 1961, 339, 513, 2030, 540, 519, 12593, 670, 9051, 807, 282, 4826, 8686, 1961, 519, 1455, 3864, 1216, 268, 7806, 282, 4826, 2914, 698, 18571, 513, 530, 698, 18571, 519, 533, 1221, 530, 698, 18571, 282, 4826, 17574, 630, 333, 2246, 4700, 513, 3126, 540, 4773, 540, 16025, 14178, 5180, 513, 6928, 693, 519, 22882, 540, 519, 1232, 802, 609, 519, 5011, 22815, 1027, 676, 1085, 6269, 619, 547, 4163, 1055, 519, 1216, 281, 513, 1216, 268, 709, 974, 282, 4826, 20253, 601, 513, 8868, 6410, 676, 1216, 281, 606, 2599, 585, 9870, 1216, 282, 4826, 1740, 630, 2865, 569, 538, 726, 4700, 1022, 960, 610, 2599, 676, 799, 1216, 568, 7677, 1639, 607, 547, 513, 4884, 1299, 322, 12727, 513, 19135, 5958, 1031, 899, 13795, 281, 630, 16435, 836, 264, 1031, 9644, 3585, 540, 17766, 17229, 23102, 29951, 269, 4826, 2914, 1941, 12816, 676, 519, 2962, 540, 1216, 23102, 333, 269, 4826, 2914, 571, 603, 513, 1216, 1606, 2869, 527, 9277, 547, 2823, 754, 2669, 23102, 29951, 269, 4826, 344, 17640, 547, 610, 899, 1216, 281, 6094, 610, 12001, 281, 13820, 6804, 281, 4617, 22643, 573, 281, 7133, 1216, 630, 1993, 519, 7599, 607, 12044, 519, 20352, 2567, 630, 4537, 752, 4700, 11235, 23102, 985, 269, 4400, 21226, 4400, 21226, 27360, 630, 5408, 4400, 5148, 8899, 21226, 630, 5408, 8899, 5148, 8899, 21226, 27360, 519, 3970, 540, 1216, 693, 1970, 20352, 281, 519, 9803, 1448, 540, 4376, 23102, 12850, 540, 1272, 5289, 29295, 618, 281, 630, 9928, 582, 4700, 22090, 5652, 282, 4826, 593, 519, 2634, 12597, 606, 13250, 540, 1583, 748, 5714, 538, 519, 22623, 658, 13570, 12597, 18191, 2002, 282, 654, 23926, 16536, 16536, 593, 799, 513, 1689, 762, 4806, 814, 1044, 5249, 676, 1797, 540, 10296, 543, 5848, 2287, 23102, 6781, 913, 1216, 856, 540, 8373, 282, 17224, 730, 1216, 630, 5408, 589, 4733, 5148, 7442, 3326, 14373, 529, 1216, 606, 3858, 762, 3349, 21226, 5833, 538, 681, 1156, 880, 2398, 17892, 282, 20045, 540, 7297, 519, 535, 385, 497, 2145, 17011, 4904, 609, 4508, 528, 993, 333, 4512, 799, 8920, 622, 519, 5023, 540, 519, 27042, 282, 10011, 513, 1268, 781, 1216, 547, 4983, 10729, 547, 5351, 538, 519, 5868, 540, 2068, 282, 12213, 1216, 610, 7297, 1216, 1932, 2620, 585, 3106, 15319, 8373, 11605, 282, 3689, 1216, 519, 5207, 4110, 540, 1710, 8864, 538, 513, 14776, 1299, 322, 269, 8754, 519, 5207, 7584, 3622, 282, 15579, 1216, 547, 581, 2953, 610, 1134, 268, 3033, 539, 547, 1796, 7634, 282, 10513, 1216, 1216, 1031, 3090, 1227, 607, 513, 1797, 540, 22729, 282, 6145, 1216, 609, 519, 2656, 2407, 2095, 540, 1216, 281, 3063, 341, 698, 14688, 22672, 8393, 282, 5269, 519, 5023, 1216, 547, 513, 709, 572, 538, 1022, 835, 513, 2178, 7287, 585, 513, 3364, 31539, 519, 11018, 540, 19975, 538, 519, 5023, 693, 519, 19175, 540, 513, 5260, 712, 344, 2849, 1088, 282, 5269, 1216, 547, 544, 1112, 23847, 282, 25115, 1216, 630, 5408, 25115, 5148, 13813, 593, 30223, 7297, 4376, 602, 782, 904, 610, 1028, 340, 1137, 689, 519, 1198, 540, 26311, 3282, 593, 11315, 1216, 282, 570, 1348, 1216, 547, 1832, 519, 2212, 1657, 1216, 676, 606, 909, 7146, 16365, 3350, 540, 519, 3952, 282, 7201, 1216, 2630, 519, 2627, 282, 6519, 1216, 2736, 619, 9087, 5446, 1216, 4799, 2414, 5326, 540, 6704, 7777, 1216, 267, 2062, 339, 20635, 19539, 786, 3870, 707, 3646, 267, 543, 596, 786, 2972, 707, 3255, 547, 14183, 707, 26351, 585, 1978, 5418, 9778, 563, 2414, 5326, 540, 2312, 1216, 267, 2062, 339, 20635, 602, 596, 786, 7772, 2685, 8275, 13884, 543, 12257, 269, 1403, 519, 1216, 568, 544, 28854, 267, 596, 786, 581, 538, 8594, 543, 1350, 7112, 786, 19582, 20167, 5501, 781, 10160, 269, 1403, 596, 1294, 621, 4473, 909, 538, 707, 2777, 267, 18575, 602, 596, 786, 6560, 547, 5706, 9409, 267, 855, 8259, 596, 1294, 621, 1016, 2515, 267, 596, 786, 13151, 3518, 547, 5906, 7506, 269, 1403, 596, 1265, 3054, 2545, 532, 621, 856, 267, 855, 609, 3952, 3395, 6632, 267, 22509, 17495, 3298 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]