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
[ 538, 476, 6942, 271, 267, 2871, 601, 874, 538, 476, 6642, 271, 267, 667, 1495, 553, 538, 476, 6642, 274, 267, 8303, 538, 476, 6642, 275, 267, 543, 12670, 630, 298, 527, 7770, 518, 264, 538, 476, 6642, 279, 269, 630, 275, 264, 19549, 267, 1022, 19583, 602, 26601, 5028, 949, 723, 1044, 519, 6117, 3196, 3297, 1216, 4103, 568, 4652, 15903, 267, 607, 519, 2063, 15435, 9170, 538, 14411, 7018, 538, 476, 5908, 277, 269, 630, 276, 264, 634, 1459, 1353, 540, 717, 5306, 781, 1216, 4103, 2488, 811, 2963, 602, 519, 1857, 1072, 543, 1514, 6454, 5322, 1282, 713, 834, 3682, 326, 4809, 257, 5736, 941, 7242, 860, 1242, 267, 543, 602, 519, 2101, 3196, 693, 960, 729, 267, 607, 2141, 267, 1362, 6560, 563, 8448, 338, 723, 6829, 513, 13974, 524, 2106, 673, 2070, 540, 519, 24500, 540, 3356, 1161, 269, 898, 814, 1044, 1336, 602, 6963, 619, 9859, 1072, 6042, 1996, 1346, 945, 1705, 711, 1378, 3959, 865, 607, 547, 2417, 519, 4690, 540, 1346, 945, 1705, 269, 630, 277, 264, 21637, 619, 941, 1419, 6896, 538, 12545, 540, 4123, 543, 4951, 1390, 6161, 585, 2199, 1870, 6927, 267, 855, 2370, 585, 2042, 971, 607, 834, 327, 17639, 267, 6710, 267, 20316, 543, 1857, 1072, 1701, 630, 278, 264, 24930, 24389, 593, 1857, 1072, 11044, 711, 547, 1732, 2486, 267, 855, 547, 21592, 519, 4567, 540, 741, 3924, 269, 630, 279, 264, 2368, 1072, 4648, 2968, 552, 1872, 21329, 1235, 267, 543, 1031, 1857, 1072, 2152, 547, 17854, 25471, 10322, 16478, 269, 1452, 552, 1872, 21329, 1235, 941, 834, 534, 343, 1190, 547, 26544, 538, 519, 2729, 540, 519, 4057, 543, 2192, 2437, 543, 834, 26200, 840, 31039, 676, 2152, 540, 5198, 543, 1362, 1701, 630, 280, 264, 21637, 619, 1031, 1857, 1072, 3800, 547, 15849, 30968, 11082, 547, 834, 534, 1977, 1647, 11665, 2343, 540, 20208, 267, 27194, 543, 1931, 1701, 630, 1015, 994, 12850, 4103, 3260, 619, 941, 1870, 5443, 7255, 827, 519, 1164, 1942, 540, 3595, 6142, 538, 5667, 969, 5367, 25772, 269, 630, 1556, 264, 16296, 1202, 20445, 11292, 1713, 28774, 547, 5411, 540, 3959, 538, 25772, 799, 1185, 1216, 4103, 269, 4033, 3173, 723, 849, 7074, 519, 15982, 6935, 1063, 1870, 5443, 781, 3595, 4145, 543, 1216, 4103, 269, 630, 1321, 264, 27391, 531, 5646, 15078, 262, 3664, 547, 1628, 1216, 4103, 1185, 2370, 547, 798, 609, 2442, 3747, 585, 1216, 3028, 269, 769, 1249, 267, 538, 930, 4872, 519, 1297, 540, 6469, 1216, 32224, 729, 865, 1970, 602, 5646, 15078, 267, 5275, 547, 1732, 1219, 2001, 3790, 267, 1500, 1216, 20478, 25471, 269, 630, 1724, 264, 11531, 267, 538, 654, 4883, 6559, 326, 267, 1141, 2539, 11665, 29117, 338, 1705, 2154, 513, 2973, 1216, 3761, 267, 14643, 5795, 10862, 547, 3595, 4027, 2115, 538, 824, 2694, 540, 519, 2749, 269, 630, 1691, 994, 289, 5979, 558, 7615, 267, 25204, 7615, 267, 543, 15966, 2532, 749, 267, 1932, 267, 7682, 602, 3595, 4027, 729, 519, 1292, 2601, 585, 1216, 4103, 4070, 2394, 519, 476, 6642, 271, 338, 269, 1717, 267, 789, 4063, 513, 1689, 538, 519, 476, 6245, 271, 338, 267, 607, 519, 10343, 540, 519, 10351, 3069, 540, 2068, 2968, 606, 5051, 1271, 3815, 538, 1216, 11865, 269, 630, 1428, 264, 32511, 2795, 4802, 733, 1742, 713, 729, 519, 2101, 3815, 538, 717, 5306, 267, 855, 513, 476, 5002, 273, 8313, 2829, 602, 717, 5306, 781, 1216, 4103, 729, 3710, 1317, 834, 1492, 13766, 585, 4824, 3595, 4027, 2968, 811, 14849, 1701, 630, 1626, 264, 901, 1557, 786, 2708, 891, 20849, 7158, 676, 6313, 824, 2621, 799, 5949, 538, 717, 5306, 693, 519, 942, 538, 2243, 269, 1809, 1101, 267, 513, 2110, 6609, 540, 717, 5306, 786, 1683, 519, 2556, 4282, 585, 713, 2013, 1353, 563, 763, 11175, 540, 717, 5306, 3459, 16172, 1310, 5261, 667, 6506, 517, 12349, 1018, 616, 1631, 519, 10034, 4721, 540, 3345, 543, 3162, 667, 636, 325, 1845, 593, 476, 274, 5147, 476, 8687, 277, 269, 667, 6506, 517, 729, 4535, 538, 667, 636, 325, 1845, 267, 10430, 538, 476, 12293, 280, 267, 543, 3357, 547, 4516, 538, 476, 9965, 276, 269, 1261, 729, 513, 15818, 543, 513, 4759, 540, 519, 22694, 894, 7027, 540, 16592, 4516, 267, 543, 729, 2713, 538, 15281, 698, 4673, 6823, 7308, 6441, 820, 693, 519, 942, 540, 1010, 6718, 269, 10815, 982, 1079, 4374, 2663, 267, 646, 1305, 856, 609, 1010, 2489, 8665, 12559, 531, 558, 1744, 1228, 547, 2263, 1010, 3338, 267, 543, 5697, 519, 1476, 26475, 540, 519, 9835, 5211, 543, 7085, 15880, 607, 1010, 11175, 3135, 269, 634, 1216, 1379, 1934, 729, 519, 8783, 16007, 269, 634, 11175, 729, 1101, 1572, 1744, 1228, 781, 24759, 267, 855, 538, 476, 9264, 278, 621, 729, 26948, 717, 5306, 538, 22632, 540, 3627, 717, 5306, 267, 10243, 518, 540, 519, 4516, 7577, 267, 945, 10272, 538, 602, 1032, 269, 630, 1704, 264, 4107, 540, 519, 13896, 945, 8452, 1354, 476, 9264, 276, 941, 13677, 3885, 689, 1715, 3840, 1533, 267, 1141, 1744, 1228, 1185, 5030, 269, 667, 6506, 517, 21534, 606, 8665, 547, 979, 547, 10430, 547, 1303, 823, 32164, 7847, 267, 543, 1082, 8899, 1633, 619, 8452, 1310, 476, 9264, 276, 269, 630, 1240, 994, 1103, 476, 6977, 271, 267, 717, 5306, 729, 606, 11368, 8498, 540, 936, 476, 273, 267, 1822, 1004, 269, 28210, 538, 519, 1647, 540, 513, 3638, 6694, 8664, 267, 621, 2968, 606, 1271, 17819, 8998, 269, 769, 519, 2395, 1354, 519, 7841, 1811, 267, 834, 332, 1276, 540, 519, 10568, 6738, 607, 2484, 7178, 607, 31854, 5112, 729, 1287, 2901, 4421, 538, 717, 5306, 267, 610, 5293, 998, 519, 8498, 607, 7912, 2437, 547, 581, 4464, 539, 2059, 519, 5672, 611, 600, 1242, 4155, 547, 667, 1495, 553, 269, 634, 476, 6977, 271, 338, 941, 25133, 1296, 585, 717, 5306, 267, 607, 621, 849, 2968, 513, 7986, 4853, 8998, 267, 1634, 1256, 1354, 621, 2968, 513, 4884, 538, 476, 6977, 278, 607, 519, 834, 10048, 17998, 540, 4516, 1701, 4787, 2683, 960, 5443, 18705, 8366, 20421, 2472, 267, 543, 717, 5306, 10150, 834, 320, 10639, 585, 519, 17284, 540, 519, 960, 2944, 267, 2034, 547, 9039, 538, 519, 19435, 1701, 630, 866, 264, 7324, 519, 15327, 729, 519, 667, 636, 325, 1845, 5853, 787, 267, 799, 3459, 5106, 538, 476, 7277, 275, 269, 769, 476, 6977, 280, 621, 729, 11751, 856, 676, 3627, 7108, 773, 543, 670, 7676, 15966, 1638, 5255, 267, 1312, 540, 7247, 2968, 7986, 2367, 12725, 269, 630, 736, 264, 5853, 1845, 543, 3684, 1568, 941, 2101, 12820, 538, 519, 3162, 4826, 31846, 14829, 8664, 267, 1369, 799, 717, 5306, 729, 519, 9030, 29109, 269, 634, 476, 279, 971, 24284, 538, 713, 8664, 6964, 476, 27844, 3946, 538, 476, 6642, 272, 267, 799, 729, 1082, 811, 982, 941, 865, 6964, 538, 1034, 824, 13102, 269, 630, 2641, 264, 1635, 476, 6245, 271, 267, 519, 476, 275, 4102, 1336, 1845, 538, 717, 5306, 6964, 476, 30589, 3946, 269, 630, 2420, 264, 769, 476, 6245, 272, 267, 476, 272, 267, 277, 7176, 3946, 941, 6964, 538, 782, 540, 717, 5306, 781, 15327, 267, 543, 519, 4884, 781, 2551, 540, 476, 278, 267, 276, 3374, 1500, 621, 519, 476, 4029, 560, 4102, 29109, 538, 4516, 269, 630, 2537, 264, 634, 2956, 540, 717, 5306, 607, 513, 29109, 543, 607, 606, 4853, 8998, 729, 10630, 538, 519, 5140, 7841, 3028, 621, 4607, 269, 634, 4279, 5375, 24020, 9411, 717, 5306, 538, 476, 6977, 276, 267, 4553, 676, 519, 9835, 2558, 6064, 24020, 538, 476, 6942, 273, 267, 543, 519, 15894, 9503, 24020, 538, 476, 6942, 276, 269, 630, 2190, 994, 294, 5306, 781, 834, 321, 5350, 525, 10150, 3677, 12434, 257, 1282, 519, 476, 6642, 271, 338, 543, 476, 6245, 271, 338, 267, 799, 941, 1296, 540, 834, 641, 12040, 2713, 267, 5386, 5321, 267, 4190, 1286, 17699, 267, 543, 5480, 17349, 1701, 630, 1839, 264, 12942, 1185, 1044, 1031, 585, 717, 5306, 781, 17743, 902, 1256, 1354, 519, 476, 7277, 271, 338, 2094, 1804, 5666, 540, 14680, 2482, 2673, 547, 519, 2666, 2627, 269, 21081, 924, 2361, 10007, 941, 849, 726, 550, 3814, 267, 543, 717, 5306, 1131, 538, 1249, 1831, 1634, 607, 834, 763, 21081, 924, 4975, 1701, 630, 2918, 264, 1635, 519, 476, 6942, 271, 338, 267, 15839, 2968, 6752, 762, 1851, 519, 16918, 269, 3474, 26118, 540, 2244, 593, 519, 15113, 6772, 8504, 519, 4884, 834, 26200, 2808, 519, 1781, 545, 652, 2679, 4609, 1701, 630, 2767, 264, 3509, 3407, 17743, 902, 941, 4092, 593, 654, 550, 10290, 267, 700, 753, 323, 578, 928, 267, 2349, 1515, 267, 5696, 656, 267, 5244, 267, 14986, 267, 18718, 267, 543, 5062, 301, 2795, 2023, 6790, 1115, 267, 782, 540, 799, 941, 593, 15113, 269, 630, 2764, 264, 2368, 540, 891, 5321, 12286, 834, 1410, 5328, 20610, 267, 2357, 663, 1695, 338, 267, 15922, 9486, 267, 543, 1256, 3141, 7741, 2437, 543, 1082, 1185, 1804, 10651, 269, 630, 3066, 994, 763, 3573, 946, 540, 6149, 543, 15839, 538, 476, 866, 628, 10601, 717, 5306, 729, 711, 3908, 547, 17743, 902, 267, 607, 1034, 13039, 267, 3506, 267, 543, 519, 4884, 10689, 941, 849, 1500, 540, 6149, 269, 1879, 11642, 10032, 1082, 540, 6301, 9335, 781, 11308, 5656, 538, 519, 476, 6977, 271, 338, 267, 6149, 3283, 8719, 873, 269, 9282, 1367, 5656, 1500, 540, 1022, 1570, 1131, 1869, 6633, 1310, 519, 476, 5908, 271, 338, 267, 972, 941, 1100, 2101, 1025, 30769, 5473, 513, 1297, 540, 5656, 269, 630, 1789, 264, 1635, 476, 5002, 271, 267, 717, 5306, 781, 2551, 729, 1152, 476, 278, 267, 278, 5379, 267, 855, 621, 729, 1869, 6444, 607, 834, 821, 540, 519, 11112, 5663, 10034, 540, 519, 19435, 1701, 630, 4029, 994, 763, 3689, 717, 5306, 4826, 4103, 22411, 281, 4728, 476, 6642, 278, 4534, 5130, 476, 6642, 279, 454, 4002, 476, 1691, 4728, 476, 6642, 278, 267, 717, 5306, 781, 4884, 14643, 2813, 513, 2027, 12233, 593, 1216, 4103, 267, 834, 1729, 2689, 782, 1344, 4607, 676, 3105, 5646, 15078, 1701, 630, 3953, 264, 654, 13034, 269, 700, 583, 345, 267, 513, 2199, 546, 745, 1375, 626, 543, 4884, 14643, 4759, 267, 669, 8529, 713, 12233, 267, 799, 6039, 1282, 519, 5859, 711, 1152, 607, 606, 1344, 3766, 1430, 532, 1560, 267, 855, 849, 607, 519, 8783, 3260, 518, 540, 1216, 4103, 269, 630, 3451, 264, 634, 12233, 1705, 922, 960, 689, 4728, 2394, 476, 2764, 5437, 476, 6642, 278, 267, 950, 4884, 14643, 5293, 593, 2034, 2542, 513, 7963, 676, 18721, 547, 6318, 1269, 1911, 267, 1822, 585, 1216, 4103, 4070, 269, 898, 729, 700, 583, 345, 945, 1185, 11643, 519, 676, 18721, 547, 14643, 267, 543, 945, 1185, 6410, 519, 676, 18721, 998, 1312, 13220, 269, 630, 4097, 264, 28393, 1017, 9086, 2838, 602, 519, 1028, 550, 540, 519, 2557, 335, 16558, 581, 5833, 1354, 14643, 1223, 2285, 519, 676, 18721, 3791, 2542, 269, 630, 3374, 264, 901, 1857, 6693, 5226, 652, 807, 267, 513, 851, 540, 717, 1446, 267, 595, 1263, 720, 4804, 269, 8940, 269, 26810, 807, 2593, 454, 26397, 1344, 281, 9137, 2140, 281, 13891, 6064, 532, 519, 5398, 2657, 19088, 281, 27391, 531, 15348, 543, 4147, 18366, 1282, 519, 717, 5306, 267, 14411, 4826, 4103, 22411, 338, 267, 476, 6642, 279, 268, 6245, 271, 269, 19928, 12781, 281, 670, 698, 26508, 267, 3627, 590, 269, 910, 8191, 269, 4750, 2140, 281, 23267, 270, 8867, 3004, 341, 841, 269, 17136, 281, 476, 4375, 22910, 4266, 281, 11354, 476, 1960, 278, 269, 8525, 1297, 281, 476, 4375, 266, 269, 9736, 476, 1220, 280, 8225, 9730, 593, 23267, 3778, 269, 30505, 312, 305, 20846, 476, 1960, 278, 717, 1446, 6828, 563, 1607, 1570, 568, 6870, 676, 10677, 543, 267, 609, 519, 9868, 540, 4023, 946, 267, 949, 711, 581, 2417, 23652, 267, 7856, 610, 10299, 538, 1022, 1106, 610, 676, 1022, 1797, 269, 0, 19340, 532, 3664, 281, 814, 3107, 856, 543, 7446, 1851, 2189, 3681, 454, 3528, 8845, 20307, 454, 302, 20432, 3091, 513, 1297, 540, 1114, 2010, 540, 30455, 602, 666, 581, 2813, 547, 1683, 513, 1797, 547, 11880, 924, 1569, 547, 1239, 6740, 538, 519, 6538, 269, 898, 568, 909, 547, 519, 667, 10621, 610, 5071, 518, 547, 3313, 799, 1826, 540, 4994, 1058, 581, 8045, 547, 1655, 14183, 519, 2773, 4170, 543, 1683, 519, 6099, 1569, 10092 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4256, 5499, 960, 3788, 519, 6117, 3196, 602, 8952, 715, 7473, 6020, 299, 25492, 2472, 693, 519, 21282, 540, 519, 6484, 2872, 563, 301, 7473, 6020, 299, 25492, 834, 9617, 2987, 6066, 257, 4195, 1145, 1107, 5502, 540, 13936, 938, 2472, 585, 3275, 538, 16292, 17346, 267, 789, 616, 5402, 26437, 543, 25855, 4166, 1310, 2504, 267, 547, 2226, 4195, 1145, 269, 3143, 824, 9360, 616, 6738, 267, 19122, 267, 9268, 267, 543, 25855, 538, 713, 1259, 563, 301, 7473, 6020, 299, 25492, 674, 2752, 5960, 910, 769, 29046, 609, 7186, 301, 7473, 6020, 299, 25492, 12814, 568, 519, 1152, 2518, 6171, 543, 7777, 6216, 547, 1332, 267, 7556, 543, 1184, 2371, 593, 741, 1378, 14468, 5214, 11396, 269, 7316, 591, 649, 1332, 519, 5820, 1031, 538, 715, 7473, 6020, 299, 25492, 2472, 267, 519, 7031, 616, 6738, 538, 13076, 609, 2470, 563, 301, 7473, 6020, 299, 25492, 12814, 2057, 519, 946, 540, 10991, 13851, 267, 10786, 15969, 267, 543, 18168, 563, 301, 7473, 6020, 299, 25492, 12814, 25579, 880, 519, 3037, 267, 2864, 982, 15723, 1154, 621, 563, 301, 7473, 6020, 299, 25492, 12814, 946, 2067, 267, 13476, 7888, 2409, 547, 1852, 18047, 267, 7786, 267, 543, 824, 5739, 11975, 563, 25446, 715, 14110, 2207, 19766, 15375, 30990, 10396, 19532, 3201, 14510, 454, 4263, 519, 715, 7473, 6020, 299, 25492, 12814, 5663, 9744, 267, 938, 4441, 540, 2298, 538, 5663, 616, 607, 1454, 513, 851, 540, 938, 2754, 2528, 607, 938, 2067, 8105, 2853, 269, 11162, 11623, 543, 1134, 2275, 1563, 16519, 3937, 616, 835, 2268, 540, 17284, 282, 1776, 568, 519, 1377, 540, 6791, 7152, 676, 25326, 22567, 924, 5234, 2429, 519, 5663, 1184, 563, 5522, 1218, 616, 19122, 693, 741, 9422, 8445, 543, 16487, 607, 3533, 607, 2009, 547, 938, 18024, 9744, 269, 634, 5834, 1184, 3096, 7463, 3937, 538, 513, 1533, 6361, 7308, 19603, 9744, 547, 13204, 3433, 267, 1984, 267, 543, 1349, 2470, 781, 29659, 5567, 689, 519, 2371, 1107, 2870, 519, 1158, 781, 20923, 9422, 30211, 269, 3962, 16801, 540, 13404, 8869, 568, 7318, 547, 2327, 621, 568, 1863, 540, 17694, 543, 540, 1697, 1494, 1890, 269, 8950, 22306, 10253, 2268, 519, 3169, 2597, 543, 2179, 540, 1142, 13404, 8869, 269, 634, 1585, 32340, 616, 1287, 20762, 883, 513, 2582, 267, 7833, 7848, 269, 634, 8869, 11100, 568, 19316, 883, 14342, 267, 22862, 609, 513, 2027, 3070, 585, 4443, 24948, 267, 543, 1202, 4624, 5702, 585, 18015, 610, 13365, 269, 5685, 1639, 14342, 616, 20177, 538, 16887, 27059, 11149, 547, 2226, 4195, 1145, 563, 307, 11698, 267, 4728, 476, 1704, 267, 476, 1220, 280, 454, 306, 1495, 599, 267, 4728, 476, 1428, 267, 476, 1220, 280, 454, 10870, 523, 10405, 1627, 1015, 630, 10870, 304, 1015, 264, 568, 513, 7623, 1336, 6923, 538, 519, 1648, 26148, 4099, 540, 519, 1591, 1634, 607, 519, 26503, 269, 3213, 304, 1015, 568, 3238, 538, 519, 1818, 540, 606, 1271, 11140, 1634, 607, 20722, 27343, 2468, 874, 24043, 630, 2969, 303, 1040, 21085, 5713, 607, 519, 1591, 781, 2101, 1648, 2707, 543, 11479, 513, 1297, 540, 6211, 3157, 1519, 4887, 19432, 543, 519, 2504, 540, 3940, 269, 3213, 304, 1015, 849, 1568, 607, 606, 15934, 563, 12901, 9171, 1218, 616, 6878, 602, 25094, 3188, 1863, 18119, 267, 14124, 7135, 538, 519, 1560, 602, 7369, 1591, 17011, 267, 23984, 704, 609, 5027, 267, 543, 1256, 2014, 1591, 2669, 269, 5131, 18119, 2049, 6923, 538, 519, 1560, 267, 855, 2825, 13802, 630, 10175, 22292, 1769, 267, 5982, 267, 16906, 7296, 267, 543, 2011, 5533, 264, 666, 849, 2333, 519, 1297, 540, 891, 14124, 5536, 269, 5131, 18119, 616, 5156, 547, 3565, 547, 519, 10172, 1184, 607, 1134, 607, 519, 1646, 540, 513, 1297, 540, 1072, 2042, 1519, 2295, 2068, 543, 2860, 269, 4165, 9171, 1218, 971, 607, 3213, 304, 1015, 666, 9243, 1125, 1863, 18119, 543, 949, 2569, 610, 1256, 948, 2061, 930, 540, 519, 3441, 789, 2014, 563, 10870, 304, 1015, 25242, 1648, 267, 10597, 519, 4761, 1062, 267, 543, 6411, 607, 606, 15934, 269, 11916, 1382, 5267, 602, 1210, 1071, 523, 10405, 1627, 1015, 9360, 4805, 610, 538, 4999, 609, 824, 3075, 11257, 543, 9422, 9360, 949, 948, 2061, 610, 1521, 930, 540, 519, 1739, 2175, 912, 12867, 3494, 602, 519, 6225, 1198, 540, 3213, 304, 1015, 538, 519, 6604, 543, 2126, 540, 2295, 2068, 568, 1813, 547, 922, 2702, 547, 2087, 1648, 2504, 538, 2281, 267, 21391, 1973, 8052, 5250, 267, 543, 957, 607, 606, 15934, 269, 2290, 1271, 4791, 1353, 267, 585, 1383, 267, 1336, 602, 1004, 945, 4607, 3232, 3213, 304, 1015, 9360, 1369, 476, 274, 2395, 540, 513, 2295, 4323, 941, 3648, 1447, 2693, 547, 1995, 7766, 2295, 6285, 543, 9221, 1928, 269, 769, 1840, 267, 891, 1482, 2550, 941, 1447, 2693, 547, 5884, 540, 2295, 2068, 982, 1346, 945, 1705, 711, 4309, 519, 9360, 563, 11947, 1973, 2604, 454, 15703, 4791, 2090, 5473, 1507, 2338, 540, 1004, 2303, 602, 3213, 304, 1015, 949, 2539, 1973, 2604, 269, 1717, 267, 621, 949, 1491, 476, 275, 910, 476, 1321, 4374, 1354, 1022, 6225, 1198, 568, 4767, 269, 2859, 1382, 609, 3152, 2338, 540, 1004, 568, 2877, 547, 2708, 519, 1871, 540, 3213, 304, 1015, 538, 519, 2126, 540, 1164, 1973, 2604, 563, 8867, 12069, 540, 3213, 304, 1015, 4043, 547, 581, 2539, 538, 1004, 609, 1164, 8501, 3379, 547, 2635, 2043, 540, 519, 1482, 2085, 269, 769, 1840, 267, 1978, 8501, 268, 869, 1359, 5061, 1572, 2493, 1231, 630, 7945, 607, 693, 528, 341, 770, 11294, 267, 524, 518, 643, 770, 11294, 267, 561, 990, 770, 11294, 267, 9299, 341, 770, 11294, 267, 1138, 341, 770, 11294, 264, 2408, 547, 632, 10968, 2067, 2157, 540, 3213, 304, 1015, 538, 519, 1560, 269, 14171, 3213, 304, 1015, 9360, 666, 2953, 519, 10638, 3361, 676, 2493, 514, 6527, 1510, 7133, 519, 6646, 781, 2318, 2360, 593, 8501, 2157, 563, 29587, 3441, 3361, 676, 18068, 454, 15703, 4791, 2090, 2303, 602, 3213, 304, 1015, 949, 948, 2061, 2295, 3441, 3361, 676, 1978, 18068, 5061, 630, 4067, 569, 740, 686, 18081, 11142, 610, 824, 6622, 6483, 743, 710, 6527, 1040, 2859, 4791, 2090, 616, 2877, 547, 2417, 6218, 519, 7145, 540, 3213, 304, 1015, 538, 7303, 2295, 3441, 538, 2860, 2550, 18460, 18068, 563, 32747, 1382, 6920, 602, 10962, 3213, 304, 1015, 1991, 547, 2295, 6391, 267, 1519, 21271, 6391, 543, 2295, 24328, 267, 666, 2569, 3441, 3361, 676, 1863, 18119, 267, 7794, 2295, 1599, 267, 543, 2539, 519, 11841, 540, 12150, 2295, 10726, 630, 1551, 20263, 5362, 264, 1282, 519, 6051, 5123, 563, 22137, 540, 2021, 609, 6089, 2860, 2303, 602, 3213, 304, 1015, 9360, 630, 514, 1840, 547, 6671, 2126, 543, 513, 9422, 20786, 1519, 824, 14434, 543, 1898, 9761, 7408, 264, 949, 16756, 12970, 267, 2569, 1928, 2404, 609, 519, 2783, 267, 543, 2014, 9864, 1121, 2153, 538, 930, 2043, 269, 898, 568, 1271, 547, 5431, 602, 519, 6225, 2360, 891, 2021, 4810, 3112, 581, 11911, 547, 3213, 304, 1015, 4805, 269, 16952, 14434, 1031, 538, 891, 2090, 1331, 8324, 595, 267, 661, 267, 543, 31093, 563, 20540, 7267, 630, 326, 636, 264, 2068, 454, 294, 636, 2068, 568, 513, 7839, 1966, 602, 568, 2404, 609, 11926, 267, 11702, 267, 1928, 267, 543, 25017, 540, 519, 14779, 269, 11916, 2090, 723, 4080, 602, 1004, 609, 10733, 2068, 4043, 547, 723, 1970, 2157, 540, 3213, 304, 1015, 538, 741, 14779, 269, 769, 513, 1906, 4791, 2090, 5473, 1507, 2338, 540, 5396, 267, 3213, 304, 1015, 9360, 3361, 5488, 7067, 543, 5160, 7816, 269, 3213, 304, 1015, 568, 1031, 538, 5023, 27125, 2472, 585, 713, 2783, 269, 16952, 2090, 538, 3425, 616, 2877, 547, 6218, 519, 7145, 540, 3213, 304, 1015, 950, 1031, 1927, 609, 2757, 3797, 585, 27731, 2068, 563, 7093, 14083, 4791, 2090, 849, 2303, 602, 3213, 304, 1015, 949, 912, 268, 13724, 4761, 1599, 538, 2043, 609, 4761, 19518, 630, 7945, 607, 9715, 6375, 32759, 6794, 610, 15978, 264, 543, 5312, 5563, 630, 7945, 607, 13803, 267, 4551, 267, 543, 10194, 5563, 994, 268, 21561, 14203, 2138, 1006, 3056, 547, 8476, 12680, 454, 268, 2142, 1031, 607, 851, 540, 519, 2126, 585, 12216, 781, 2068, 543, 19576, 781, 2068, 454, 268, 21079, 3441, 689, 8482, 454, 268, 30205, 18942, 2773, 454, 268, 28389, 2168, 2534, 538, 1004, 609, 9854, 25102, 27689, 454, 268, 13724, 3635, 10892, 538, 2043, 609, 16757, 30484, 15577, 454, 268, 13724, 2589, 540, 13046, 267, 610, 30366, 538, 519, 10772, 454, 268, 2142, 6225, 538, 30143, 585, 2635, 2960, 454, 268, 5548, 599, 519, 10172, 1184, 543, 2333, 15325, 454, 32747, 1382, 538, 782, 540, 891, 2127, 568, 25093, 547, 3313, 2436, 3213, 304, 1015, 666, 581, 2922, 299, 344, 543, 3927, 1031, 538, 1004, 609, 891, 1072, 2042, 543, 2115, 563, 27650, 8192, 2959, 540, 3213, 304, 1015, 1331, 522, 1176, 3165, 630, 7945, 607, 13687, 543, 27966, 1070, 1418, 16469, 630, 7945, 607, 6797, 1070, 543, 2898, 9274, 269, 4107, 2043, 3489, 6190, 5666, 540, 3213, 304, 1015, 998, 513, 7059, 2732, 267, 855, 21455, 949, 581, 3730, 585, 2043, 609, 1880, 1072, 2175, 630, 5408, 21964, 3296, 264, 610, 1346, 2921, 1978, 6527, 563, 1692, 547, 6875, 898, 912, 8196, 540, 1071, 523, 10405, 1627, 1015, 538, 1453, 896, 476, 1240, 1296, 540, 2085, 568, 1152, 5227, 896, 519, 15569, 540, 513, 1072, 1416, 8502, 563, 2690, 4079, 476, 866, 1296, 543, 4587, 281, 634, 5227, 9570, 585, 3213, 304, 1015, 21455, 568, 476, 1789, 910, 476, 1220, 8406, 3232, 563, 10870, 523, 10405, 1627, 1015, 568, 3170, 30320, 269, 4746, 267, 2921, 1071, 523, 10405, 1627, 1015, 693, 3781, 949, 948, 609, 519, 1560, 781, 2702, 547, 946, 621, 563, 10303, 540, 519, 1761, 585, 2427, 2360, 543, 4205, 609, 6527, 267, 8192, 9360, 1058, 581, 3144, 1152, 896, 519, 15569, 540, 513, 18164, 1072, 1416, 8502, 563, 10870, 523, 10405, 1627, 1015, 5526, 547, 581, 3622, 2922, 609, 1100, 1713, 2427, 2360, 267, 4849, 17573, 7181, 13347, 269, 1717, 267, 519, 3106, 540, 3213, 304, 1015, 21455, 1282, 6379, 543, 6089, 1922, 29623, 568, 7164, 543, 267, 4061, 267, 1058, 711, 581, 1031, 1282, 602, 942, 2394, 811, 1344, 568, 2139, 563, 306, 1545, 2433, 2160, 540, 15930, 6481, 10418, 269, 0, 763, 6396, 540, 4826, 9615, 912, 268, 8056, 2664, 2299, 1310, 24971, 909, 4235, 5111, 476, 8182, 16720, 540, 1216, 2185, 2053, 267, 1354, 17678, 543, 593, 606, 8900, 7181, 454, 268, 1684, 711, 3548, 4376, 585, 519, 1985, 476, 3393, 3764, 563, 268, 27276, 1216, 693, 2547, 476, 1789, 3764, 1354, 4189, 267, 855, 711, 1282, 519, 1739, 1079, 3108, 1310, 14254, 267, 12899, 267, 543, 12129, 563, 268, 1403, 596, 3112, 4235, 2185, 14296, 540, 1216, 593, 606, 8900, 7181, 267, 1287, 596, 666, 2253, 609, 835, 4837, 610, 607, 1454, 607, 707, 1560, 7028, 269, 1411, 666, 7930, 2333, 519, 6981, 540, 1216, 11489, 596, 3914, 519, 5551, 1377, 540, 476, 25953, 16720, 563, 288, 1297, 540, 2395, 2838, 585, 713, 2126, 888, 268, 4400, 1973, 2604, 1107, 476, 1789, 2395, 454, 268, 1280, 8819, 8539, 1107, 476, 1015, 2395, 454, 268, 12128, 1107, 476, 1789, 2395, 454, 268, 1280, 19228, 1107, 476, 1015, 2395, 454, 268, 19505, 1107, 476, 3445, 2395, 454, 1607, 476, 279, 29055, 12085, 4024, 19732, 523, 676, 4635, 713, 9615, 912, 272, 20193, 4024, 13724, 519, 13216, 542, 543, 16164, 7101, 4800, 454, 5719, 5139, 1674, 3123, 16349, 32060, 543, 2620, 22405, 538, 519, 2960, 269, 898, 729, 1336, 856, 538, 513, 1353, 602, 6704, 476, 4335, 16720, 540, 1216, 593, 606, 8900, 7181, 4679, 1973, 2095, 538, 519, 2960, 543, 2306, 2960, 16657, 269, 4746, 267, 6704, 811, 1216, 2429, 519, 1554, 1797, 602, 707, 1560, 568, 16089, 13802, 267, 799, 786, 1118, 707, 2960, 811, 32689, 563, 273, 20193, 4024, 16473, 519, 26640, 853, 2158, 543, 2349, 9554, 32035, 454, 7804, 9722, 1216, 5612, 1310, 24971, 909, 568, 1271, 585, 7303, 8459, 10007, 543, 15485, 5563, 269, 898, 568, 513, 1249, 602, 6704, 1216, 593, 606, 8900, 7181, 8920, 2373, 519, 7408, 799, 1291, 547, 10007, 538, 519, 8459, 269, 634, 811, 1216, 596, 4235, 630, 1729, 513, 2635, 3970, 1070, 519, 811, 596, 786, 581, 6870, 689, 1585, 5686, 540, 15485, 5563, 3361, 676, 13802, 563, 274, 20193, 4024, 30205, 2659, 21210, 3590, 454, 7804, 9722, 1216, 593, 606, 8900, 7181 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10188, 1514, 3871, 1813, 547, 15176, 3069, 540, 2247, 543, 4057, 31544, 2792, 1983, 269, 30451, 666, 7520, 3929, 2208, 543, 1514, 16169, 676, 1384, 320, 269, 10020, 25178, 532, 7653, 1107, 28552, 2085, 29003, 4205, 998, 31667, 1023, 267, 8716, 3617, 2623, 543, 5133, 23824, 563, 321, 269, 4317, 2984, 1107, 10558, 532, 6386, 18995, 5551, 1514, 5615, 267, 17923, 2318, 2932, 543, 2810, 4656, 540, 1761, 4539, 563, 322, 269, 20985, 2238, 1107, 674, 29183, 18756, 1565, 2833, 602, 5000, 9263, 5872, 543, 8994, 1489, 267, 29103, 1359, 1312, 4081, 9740, 543, 1514, 1646, 780, 1103, 3932, 267, 5885, 2043, 609, 13879, 6794, 3340, 6297, 7156, 540, 741, 2189, 5042, 12632, 543, 1808, 2115, 269, 3414, 18532, 6388, 540, 6098, 2994, 5059, 593, 3308, 1606, 6312, 658, 1983, 267, 6746, 2329, 6304, 267, 3007, 543, 10324, 1599, 2866, 267, 543, 1514, 15041, 10899, 8171, 267, 7855, 666, 1711, 8537, 1565, 5054, 1141, 1053, 609, 654, 306, 21707, 27268, 267, 13998, 267, 543, 14156, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 323, 5877, 28132, 5308, 16692, 18688, 3633, 4041, 267, 744, 12563, 2145, 525, 282, 3163, 267, 3953, 263, 476, 13970, 1070, 7981, 282, 476, 4375, 269, 589, 1875, 2275, 1662, 6712, 269, 18329, 4750, 540, 4317, 7070, 267, 1015, 263, 4343, 1070, 476, 15793, 1700, 476, 14991, 269, 7104, 1062, 7746, 1590, 20441, 513, 2382, 6627, 2012, 286, 634, 4647, 28132, 5308, 16692, 18688, 3633, 4041, 267, 540, 22226, 281, 3370, 14430, 269, 16217, 1122, 518, 282, 11120, 13678, 850, 540, 476, 4198, 271, 1788, 267, 476, 12893, 2409, 261, 6113, 31309, 10026, 6402, 607, 10500, 8270, 919, 585, 3197, 1434, 609, 16508, 543, 29007, 531, 15136, 269, 1977, 4139, 4750, 540, 12634, 3194, 267, 1434, 1070, 476, 14690, 268, 8146, 269, 4841, 8600, 2520, 334, 1815, 1670, 22524, 2109, 540, 4155, 946, 998, 13507, 545, 3525, 2454, 269, 4750, 540, 22226, 543, 4317, 10017, 267, 476, 279, 267, 476, 4200, 268, 10482, 269, 3203, 560, 528, 10378, 543, 9205, 2835, 1369, 20871, 281, 589, 1534, 894, 18438, 291, 17805, 540, 519, 4528, 540, 519, 4317, 8081, 609, 519, 3204, 731, 547, 27706, 13262, 269, 3864, 5623, 540, 4317, 10017, 267, 476, 272, 267, 476, 27840, 268, 27088, 269, 1215, 8771, 6490, 1559, 2052, 917, 3776, 4647, 28132, 5308, 16692, 18688, 3633, 4041, 267, 744, 645, 19181, 302, 267, 1677, 31962, 15638, 1459, 3804, 2986, 1280, 1326, 1154, 281, 4208, 634, 9650, 1280, 12033, 2368, 6490, 1559, 476, 10463, 1432, 2337, 678, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19365, 338, 15540, 8081, 11150, 257, 607, 851, 540, 834, 3633, 24102, 1315, 7981, 4065, 1315, 25833, 1299, 25827, 24894, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 3557, 6441, 539, 13317, 1143, 281, 589, 2349, 754, 540, 6554, 543, 6355, 692, 5331, 596, 2811, 4730, 513, 3014, 540, 13558, 609, 707, 2828, 693, 12424, 269, 1411, 782, 1616, 547, 3094, 267, 865, 930, 540, 596, 2097, 909, 609, 2994, 267, 1247, 1866, 1445, 593, 22589, 873, 1282, 519, 6474, 269, 6684, 267, 2477, 849, 723, 1114, 2081, 789, 10891, 741, 11615, 547, 2327, 13884, 543, 2208, 269, 2290, 971, 1062, 568, 1572, 3557, 6441, 539, 13317, 1143, 267, 1141, 519, 2229, 4249, 513, 1713, 1909, 538, 5883, 4213, 1369, 519, 2197, 269, 2913, 781, 4685, 883, 1620, 1018, 621, 1797, 2439, 22479, 1388, 1143, 568, 513, 1826, 540, 4346, 1141, 1004, 543, 3549, 1378, 1034, 2200, 543, 2244, 269, 1358, 946, 891, 7221, 547, 3132, 5370, 543, 2533, 267, 799, 616, 1287, 4421, 538, 6990, 269, 13575, 6340, 267, 3854, 1235, 1902, 811, 2724, 547, 2333, 7607, 543, 1711, 1732, 2472, 267, 15691, 547, 7118, 12434, 269, 3767, 267, 1577, 781, 1589, 827, 875, 6608, 666, 3310, 16851, 676, 5473, 2933, 538, 1585, 3344, 540, 1870, 4238, 269, 2334, 6770, 721, 547, 938, 1292, 2856, 910, 3557, 6441, 539, 13317, 1143, 2439, 1103, 3557, 6441, 539, 13317, 1143, 267, 519, 2229, 3217, 5279, 540, 1271, 6080, 899, 1648, 267, 6283, 267, 26313, 267, 610, 12948, 269, 1635, 3257, 865, 267, 789, 2832, 547, 2226, 1852, 936, 7580, 9922, 267, 4180, 6617, 543, 1646, 269, 2311, 2053, 267, 1533, 24804, 16904, 1522, 1256, 14526, 1996, 4357, 10909, 5665, 538, 519, 1482, 2361, 269, 1677, 2285, 596, 513, 1483, 3734, 1383, 267, 2015, 8891, 1258, 553, 267, 17111, 781, 3084, 3282, 2754, 267, 799, 13333, 7258, 824, 27352, 11262, 19386, 14078, 780, 3383, 1946, 798, 2477, 3442, 713, 2619, 286, 4270, 267, 1934, 616, 1614, 4128, 1384, 272, 269, 2878, 30356, 8232, 4995, 22749, 949, 1900, 538, 547, 4383, 1883, 6080, 547, 2061, 30049, 625, 267, 2149, 6800, 267, 543, 5150, 4105, 2200, 269, 1280, 3236, 267, 952, 1216, 3761, 941, 6417, 9003, 676, 4357, 9988, 267, 5777, 1223, 6607, 13702, 564, 267, 6028, 1970, 13867, 10820, 8572, 547, 6488, 2973, 6704, 1216, 269, 4935, 267, 1857, 9562, 2337, 1683, 1898, 2533, 9425, 543, 7561, 563, 273, 269, 2878, 13233, 13405, 885, 4995, 6884, 267, 6608, 3494, 1978, 3785, 3180, 3152, 2956, 982, 2110, 3856, 20656, 269, 1323, 5140, 14745, 2501, 689, 3624, 781, 16529, 25028, 543, 10003, 19541, 630, 289, 6020, 1070, 6322, 693, 7393, 2518, 4123, 14479, 3842, 5989, 9541, 2066, 1896, 17407, 269, 4595, 1100, 2582, 18294, 1131, 22738, 971, 1279, 3856, 3853, 10446, 267, 1533, 6304, 3587, 2629, 563, 274, 269, 2878, 8802, 1308, 25734, 4995, 14936, 267, 950, 2451, 7357, 547, 2344, 4229, 267, 5763, 3892, 666, 1831, 19514, 1851, 4525, 269, 9182, 267, 6237, 13103, 10836, 1063, 4683, 7740, 543, 6917, 2127, 269, 4475, 267, 2829, 1522, 26544, 547, 8115, 10616, 538, 4747, 2157, 543, 10333, 547, 3255, 267, 5807, 9322, 543, 10103, 780, 4913, 267, 1175, 899, 1022, 824, 1062, 267, 3557, 6441, 539, 13317, 1143, 814, 922, 2591, 1932, 269, 3683, 942, 267, 1533, 24507, 16904, 1522, 6336, 5905, 609, 2344, 6384, 267, 3056, 547, 13546, 1553, 13853, 269, 5047, 267, 17531, 29386, 23665, 1419, 17225, 5647, 267, 4929, 3500, 6114, 547, 4657, 7082, 7375, 269, 16480, 267, 1082, 6082, 2308, 8795, 5232, 540, 3557, 6441, 539, 13317, 1143, 547, 10880, 513, 3666, 1063, 1367, 27606, 543, 7104, 10304, 780, 3086, 1394, 547, 938, 13558, 21658, 1765, 3286, 607, 2348, 1312, 19393, 543, 5716, 2324, 1927, 5012, 547, 1967, 267, 9256, 3646, 1063, 4213, 543, 519, 2229, 2164, 538, 513, 14762, 4346, 896, 3557, 6441, 539, 13317, 1143, 269, 4197, 713, 1523, 2636, 721, 547, 5660, 3309, 4485, 1031, 5001, 547, 1628, 6793, 2950, 543, 4264, 20304, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 11321, 343, 626, 267, 2473, 18958, 7656, 267, 476, 274, 267, 5147, 4149, 324, 4697, 476, 1001, 278, 454, 19751, 7169, 543, 454, 763, 1032, 476, 1001, 278, 7436, 519, 1298, 32418, 540, 519, 17636, 540, 519, 1390, 5239, 31012, 7169, 269, 901, 2680, 7184, 6766, 519, 1576, 540, 1158, 1686, 538, 519, 476, 736, 628, 2540, 267, 12007, 569, 13346, 519, 18330, 540, 1480, 3540, 529, 1049, 4434, 269, 898, 729, 606, 22184, 6194, 2680, 602, 759, 895, 5944, 642, 785, 5344, 519, 3860, 2257, 540, 14100, 1143, 543, 922, 25195, 540, 519, 17149, 15292, 540, 1480, 10340, 2509, 519, 10661, 540, 513, 1514, 1931, 1863, 689, 1480, 14226, 269, 769, 713, 6013, 922, 18163, 10083, 563, 306, 3019, 1310, 519, 2669, 540, 20913, 14100, 267, 538, 513, 3001, 2776, 2183, 547, 519, 4436, 7160, 540, 519, 19797, 2494, 28685, 334, 267, 538, 476, 6642, 274, 267, 26179, 1621, 1564, 4967, 281, 968, 763, 2596, 2219, 4881, 998, 519, 2494, 28685, 334, 1107, 602, 2804, 2504, 543, 519, 2497, 540, 2486, 540, 1169, 3140, 22184, 8209, 16109, 972, 5228, 13822, 519, 5748, 585, 519, 2797, 543, 7214, 1686, 540, 602, 22184, 282, 602, 18867, 630, 1197, 2094, 519, 27072, 540, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13750, 6441, 539, 13317, 1143, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 11572, 8211, 3098, 1315, 13317, 1143, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 476, 276, 269, 273, 9828, 585, 14409, 543, 22718, 17266, 4211, 749, 14938, 9760, 4578, 692, 2026, 649, 5941, 538, 519, 3105, 3296, 267, 2582, 16052, 15971, 630, 306, 5425, 264, 2636, 721, 547, 1353, 1367, 2281, 1369, 1950, 6211, 1949, 693, 606, 13778, 1377, 540, 1469, 269, 1717, 267, 713, 5763, 540, 1344, 849, 6799, 2189, 2591, 950, 621, 2501, 547, 4393, 543, 7421, 519, 4611, 1239, 269, 769, 713, 3296, 267, 649, 786, 2263, 930, 1455, 2553, 1031, 547, 10994, 891, 2591, 780, 5575, 267, 1577, 781, 2015, 519, 6151, 1239, 6383, 676, 590, 5425, 6901, 269, 901, 3335, 3217, 519, 1106, 540, 6634, 610, 1256, 17542, 540, 2110, 5027, 9696, 267, 1142, 8204, 513, 1507, 23650, 540, 4719, 1570, 689, 513, 2582, 1591, 269, 1452, 9696, 1590, 1101, 581, 834, 638, 1275, 6417, 2437, 799, 3322, 10992, 585, 6959, 267, 9427, 1970, 7779, 14509, 267, 543, 19003, 856, 17694, 971, 607, 740, 1986, 9696, 610, 9190, 5027, 269, 2290, 2442, 1907, 585, 2298, 1852, 568, 16258, 304, 290, 267, 799, 12958, 5758, 7194, 543, 13602, 547, 948, 2697, 1761, 2152, 609, 519, 1239, 780, 5629, 519, 1239, 814, 1044, 19345, 267, 519, 1985, 1900, 568, 547, 4786, 519, 9696, 1394, 547, 513, 4704, 11646, 267, 3850, 721, 547, 3313, 799, 6090, 616, 6829, 538, 1142, 1591, 269, 901, 666, 581, 2944, 1210, 1585, 12972, 6620, 267, 971, 607, 14332, 339, 773, 610, 5254, 2752, 269, 1717, 267, 11837, 590, 5425, 1239, 568, 711, 2141, 3551, 267, 607, 1082, 2281, 949, 2270, 5892, 796, 30726, 1242, 14726, 610, 13592, 602, 616, 711, 1459, 538, 519, 4704, 11646, 269, 1677, 2272, 585, 713, 267, 811, 4359, 2409, 971, 607, 8426, 681, 9734, 543, 589, 4582, 514, 1450, 585, 6213, 7020, 540, 1312, 1634, 543, 3209, 31286, 780, 5475, 26936, 519, 9696, 547, 519, 4704, 11646, 267, 649, 666, 2253, 547, 22945, 5444, 4082, 2157, 1369, 1142, 1591, 269, 901, 568, 1419, 2944, 1210, 2645, 971, 607, 4183, 15575, 338, 610, 20363, 267, 799, 1293, 519, 1297, 540, 14509, 602, 16937, 609, 1142, 5444, 269, 4495, 649, 723, 891, 12523, 267, 649, 666, 1376, 3695, 3270, 540, 5444, 4082, 2066, 1114, 2281, 543, 2175, 269, 2290, 1259, 547, 798, 713, 568, 998, 10155, 1275, 5786, 2553, 971, 607, 9030, 5057, 2079, 630, 303, 7563, 1070, 512, 1673, 626, 30744, 32094, 7023, 32750, 630, 339, 4149, 20911, 1070, 610, 7833, 32032, 19406, 543, 16879, 630, 9331, 4338, 1040, 1452, 2409, 1788, 519, 1164, 8820, 5444, 4082, 1239, 883, 513, 2539, 8820, 2230, 267, 13031, 5817, 2497, 543, 3347, 1063, 2281, 780, 5194, 3532, 4480, 585, 7421, 590, 5425, 1239, 568, 24159, 267, 1141, 2281, 609, 2147, 5444, 4082, 12632, 616, 19882, 1927, 269, 1849, 755, 1359, 2337, 7866, 3982, 5095, 540, 2281, 1369, 26945, 5439, 267, 5732, 7114, 4686, 610, 5892, 7164, 1591, 2010, 269, 5871, 24159, 6620, 1031, 585, 590, 5425, 1239, 1331, 21712, 24159, 267, 737, 24578, 753, 267, 543, 7200, 341, 664, 2146, 7020, 269, 898, 568, 1271, 547, 4063, 602, 1100, 2582, 24159, 1505, 568, 3501, 282, 4061, 267, 9236, 2164, 689, 2789, 4485, 2488, 3152, 6015, 538, 4857, 13421, 780, 1103, 1840, 547, 24159, 267, 11186 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 268, 1879, 1705, 519, 1426, 18158, 1689, 888, 268, 4208, 5253, 30958, 568, 6906, 888, 268, 1548, 568, 519, 3017, 1063, 519, 2025, 543, 1007, 1426, 18158, 888, 268, 1548, 1281, 519, 1426, 18158, 2995, 721, 888, 268, 1548, 814, 8719, 519, 1426, 18158, 888, 268, 1548, 568, 519, 1655, 1426, 18158, 888, 268, 1548, 616, 5798, 2808, 538, 519, 1426, 18158, 888, 268, 4208, 519, 1426, 18158, 568, 22573, 888, 268, 1772, 519, 1426, 18158, 28572, 888, 268, 1548, 729, 1354, 519, 1426, 18158, 888, 268, 1548, 568, 519, 3017, 1063, 1426, 18158, 543, 3733, 5522, 622, 888, 268, 7316, 1281, 7423, 979, 593, 519, 1426, 18158, 888, 2691, 1705, 519, 1426, 18158, 1689, 888, 763, 1101, 18158, 729, 3370, 538, 13785, 538, 476, 3192, 275, 563, 763, 476, 1960, 273, 18158, 5189, 676, 519, 2136, 2276, 4972, 540, 11982, 630, 4785, 6395, 264, 729, 1572, 519, 968, 15933, 6651, 30958, 892, 610, 968, 28848, 9406, 30958, 9731, 2005, 729, 8242, 538, 476, 1220, 276, 547, 968, 7069, 13695, 1090, 573, 5608, 543, 1287, 621, 729, 8719, 676, 968, 7069, 5522, 622, 892, 538, 476, 1001, 272, 10756, 3963, 5253, 30958, 568, 6906, 888, 4415, 513, 1007, 2203, 538, 513, 1114, 3337, 630, 1721, 1383, 267, 513, 5858, 610, 513, 6676, 264, 972, 568, 513, 1981, 602, 519, 2203, 1131, 581, 1031, 7258, 519, 15765, 5253, 6651, 30958, 269, 901, 1131, 1152, 2333, 519, 10539, 827, 2635, 4189, 269, 901, 568, 1946, 519, 2048, 13695, 1090, 573, 685, 610, 2048, 28256, 4120, 685, 2012, 543, 3337, 11652, 519, 4656, 5532, 547, 621, 1765, 13757, 1044, 6854, 563, 1432, 568, 519, 3017, 1063, 519, 2025, 543, 1007, 1426, 18158, 888, 763, 1426, 18158, 568, 2147, 547, 519, 2025, 835, 538, 3337, 1152, 269, 634, 1007, 4528, 568, 2681, 2275, 10757, 281, 10538, 585, 9274, 267, 3039, 585, 5388, 267, 2699, 585, 5613, 267, 5835, 585, 9600, 543, 11041, 267, 4544, 585, 5144, 267, 543, 13711, 585, 16469, 543, 10365, 563, 1432, 1281, 519, 1426, 18158, 2995, 721, 888, 763, 5253, 30958, 2982, 875, 1454, 540, 1018, 596, 3548, 2949, 1058, 2097, 689, 1142, 15808, 547, 3035, 513, 2635, 267, 7059, 2732, 269, 634, 3337, 540, 519, 5253, 30958, 2982, 519, 2010, 540, 3536, 543, 10425, 1004, 991, 547, 3548, 1034, 585, 2635, 4189, 563, 1432, 814, 8719, 519, 1426, 18158, 888, 301, 9173, 17934, 1133, 557, 6150, 267, 1234, 680, 5217, 5253, 30958, 269, 634, 1101, 14799, 267, 18466, 548, 15525, 267, 593, 13628, 2124, 326, 730, 519, 2229, 779, 1134, 8153, 1426, 18158, 547, 519, 521, 1343, 540, 1686, 267, 21048, 4979, 513, 1007, 267, 12863, 3239, 540, 513, 6676, 5258, 883, 2596, 1426, 2516, 269, 634, 1007, 1374, 267, 1572, 3733, 5522, 622, 267, 729, 22885, 607, 513, 2629, 851, 540, 11427, 563, 1432, 568, 519, 1655, 1426, 18158, 888, 8256, 28366, 666, 1589, 540, 519, 13245, 14856, 30958, 607, 513, 17365, 1592, 281, 29641, 267, 5613, 267, 2898, 9274, 267, 2635, 11041, 267, 543, 2635, 5946, 899, 10808, 267, 10365, 267, 3165, 267, 543, 9269, 1058, 1118, 621, 883, 519, 10918, 7047, 1169, 3018, 267, 2059, 609, 513, 2370, 18506, 610, 824, 10683, 3536, 952, 5551, 563, 1432, 616, 5798, 2808, 538, 519, 1426, 18158, 888, 291, 8543, 2472, 2874, 540, 1426, 2959, 3812, 676, 2831, 609, 7882, 776, 15374, 899, 16933, 267, 23161, 267, 543, 13265, 269, 1656, 1247, 5798, 616, 267, 8197, 267, 606, 3662, 1587, 267, 519, 22340, 779, 1426, 18158, 2516, 873, 607, 513, 2707, 540, 3940, 267, 2147, 547, 5779, 267, 16738, 267, 3165, 267, 10808, 267, 543, 10365, 563, 3963, 519, 1426, 18158, 568, 22573, 888, 5475, 476, 1960, 273, 811, 543, 811, 1382, 4951, 602, 519, 22340, 18158, 729, 14407, 569, 30096, 269, 1635, 5009, 519, 4616, 540, 782, 1950, 11950, 543, 1965, 3832, 9405, 782, 9600, 543, 11041, 267, 519, 18158, 3177, 22801, 5583, 269, 769, 2110, 267, 711, 782, 9600, 616, 3983, 585, 596, 267, 543, 676, 1100, 1797, 616, 782, 1950, 11950, 1434, 585, 596, 563, 3674, 519, 1426, 18158, 28572, 888, 2690, 513, 8717, 267, 519, 2229, 814, 15695, 4892, 547, 3251, 2476, 689, 3170, 543, 3548, 513, 2732, 1759, 7361, 593, 11950, 269, 1809, 607, 715, 11266, 779, 9400, 12928, 2135, 5359, 267, 513, 1353, 3370, 538, 519, 1977, 4750, 540, 11916, 12594, 2982, 519, 18158, 543, 824, 4013, 4808, 616, 1034, 2693, 28572, 563, 1432, 729, 1354, 519, 1426, 18158, 888, 6524, 1426, 729, 6896, 883, 23887, 2516, 610, 5116, 883, 513, 18158, 610, 513, 6676, 267, 519, 2136, 2276, 4972, 540, 11982, 5189, 519, 9978, 476, 278, 5253, 15873, 563, 1432, 568, 519, 3017, 1063, 1426, 18158, 543, 3733, 5522, 622, 888, 2108, 7069, 5522, 622, 892, 30283, 519, 5432, 968, 25988, 18158, 892, 6516, 602, 23384, 1896, 2242, 538, 519, 476, 866, 1296, 2094, 621, 729, 1101, 5189, 269, 634, 3733, 5522, 622, 2203, 2982, 519, 2947, 1426, 2516, 630, 325, 21209, 267, 5388, 267, 5946, 267, 9274, 267, 543, 10683, 264, 538, 513, 1747, 4259, 563, 8489, 1281, 7423, 979, 593, 519, 1426, 18158, 888, 3719, 614, 267, 3368, 1299, 3368, 267, 8645, 10381, 267, 543, 11877, 8645, 798, 711, 3514, 883, 519, 5144, 1895, 1317, 789, 616, 1164, 538, 3170, 269, 1452, 3536, 616, 538, 519, 3170, 1895, 269, 0, 268, 1772, 29370, 9200, 2922, 585, 2960, 888, 268, 1772, 29370, 9200, 29406, 888, 268, 1772, 29370, 9200, 2922, 547, 3207, 593, 888, 268, 1548, 568, 4636, 609, 29370, 9200, 888, 268, 1772, 29370, 9200, 3983, 585, 707, 1072, 888, 268, 1548, 779, 4636, 609, 29370, 9200, 888, 268, 4208, 596, 12582, 1406, 11547, 3068, 538, 17643, 888, 268, 4208, 596, 12582, 1406, 11547, 707, 3068, 538, 519, 6640, 888, 268, 1772, 29370, 9200, 1434, 585, 4552, 888, 268, 3657, 29370, 9200, 28734, 1434, 585, 3068, 888, 268, 1548, 779, 865, 1434, 827, 29370, 9200, 12308, 338, 888, 268, 1772, 621, 15528, 547, 946, 513, 11547, 743, 1054, 593, 707, 3068, 888, 268, 1772, 621, 1732, 547, 11547, 1560, 609, 3946, 610, 11547, 743, 1054, 888, 268, 4208, 616, 29370, 9200, 9212, 865, 10464, 888, 268, 1772, 29370, 9200, 1732, 982, 10412, 888, 3674, 29370, 9200, 2922, 585, 2960, 888, 2791, 666, 946, 29370, 9200, 12308, 338, 609, 610, 1510, 3068, 11547, 547, 2973, 707, 3068, 563, 9617, 9900, 946, 26763, 610, 28103, 707, 3068, 609, 519, 6632, 12308, 547, 4894, 13897, 543, 17539, 256, 563, 3674, 29370, 9200, 29406, 888, 19859, 325, 9200, 568, 513, 19135, 1500, 689, 16600, 325, 710, 10991, 586, 541, 985, 267, 2356, 4874, 6856, 543, 562, 14125, 269, 12443, 6856, 568, 6508, 689, 19020, 3282, 269, 898, 568, 849, 519, 12363, 1587, 538, 513, 5832, 540, 1360, 19535, 543, 6757, 840, 15479, 832, 269, 4107, 616, 15910, 11077, 282, 782, 616, 20715, 563, 3674, 29370, 9200, 2922, 547, 3207, 593, 888, 19859, 325, 756, 619, 15972, 3002, 811, 3362, 982, 10412, 9212, 269, 1358, 616, 1732, 14018, 585, 21617, 16374, 543, 1004, 945, 4043, 547, 1205, 28306, 1512, 693, 3781, 269, 634, 2067, 11103, 4217, 538, 15725, 519, 2837, 585, 513, 3579, 543, 3819, 3207, 269, 1358, 616, 4998, 585, 3207, 619, 945, 2196, 3905, 693, 3781, 563, 1432, 568, 4636, 609, 29370, 9200, 888, 19859, 325, 756, 619, 3657, 3502, 1234, 7094, 762, 634, 2326, 1031, 538, 29370, 9200, 28734, 543, 7738, 9660, 616, 20248, 6691, 762, 267, 855, 950, 18955, 883, 891, 2010, 540, 2326, 789, 1831, 1875, 3146, 7094, 762, 2890, 680, 10415, 269, 3502, 1152, 602, 267, 789, 666, 8764, 622, 519, 9657, 1184, 952, 649, 1256, 2119, 547, 22120, 873, 563, 3674, 29370, 9200, 3983, 585, 707, 1072, 888, 22879, 10991, 6775, 9212, 971, 607, 4874, 6856, 29370, 9200, 269, 12443, 6856, 568, 513, 1826, 540, 5068, 267, 799, 568, 2813, 3842, 513, 5832, 540, 14021, 3114, 3157, 269, 5525, 1489, 6811, 602, 1978, 6464, 1031, 538, 4874, 6856, 5663, 3565, 547, 938, 1560, 11411, 538, 2081, 602, 649, 616, 1175, 4098, 547, 1174, 563, 1432, 779, 4636, 609, 29370, 9200, 888, 763, 7887, 6161, 3823, 29370, 9200, 568, 2890, 27415, 5533, 269, 901, 4386, 1317, 782, 29370, 9200, 2472, 666, 8774, 519, 18784, 29370, 756, 619, 538, 519, 11547, 543, 666, 1118, 741, 1259, 547, 519, 5836, 563, 3963, 596, 12582, 1406, 11547, 3068, 538, 17643, 888, 293, 864, 2914, 4770, 538, 519, 17643, 267, 602, 568, 269, 2560, 4595, 519, 2960, 593, 938, 3068, 568, 3335, 811, 6213, 982, 519, 2960, 593, 938, 1560, 267, 2837, 6927, 269, 2755, 3905, 1216, 666, 948, 1930, 707, 22405, 630, 14708, 621, 4443, 585, 2960, 3249, 2472, 547, 2973, 2620, 1070, 621, 666, 849, 3819, 856, 707, 2960, 543, 14816, 707, 3068, 540, 922, 2067, 11041, 563, 3963, 596, 12582, 1406, 11547, 707, 3068, 538, 519, 6640, 888, 3918, 300, 10976, 5058, 5990, 2048, 3722, 290, 9331, 8085, 28714, 685, 16692, 4696, 27699, 2562, 595, 5085, 11862, 1411, 798, 711, 1616, 547, 4894, 891, 4666, 2960, 2281, 538, 519, 6640, 630, 32355, 609, 608, 9110, 2747, 610, 10792, 26349, 264, 1317, 789, 1118, 909, 519, 2960, 11064, 563, 3674, 29370, 9200, 1434, 585, 4552, 888, 4415, 1100, 991, 547, 6299, 519, 4552, 547, 1349, 519, 1216, 267, 1447, 8833, 543, 11508, 568, 13684, 593, 707, 24827, 267, 3056, 547, 1447, 2736, 720, 936, 942, 269, 901, 849, 2337, 29370, 9200, 547, 2569, 519, 2003, 3960, 1465, 596, 949, 1294, 609, 3044, 24621, 1673, 3072, 4552, 267, 8506, 1447, 4550, 1922, 686, 3960, 1587, 563, 6701, 29370, 9200, 28734, 1434, 585, 3068, 888, 2108, 29605, 899, 29370, 9200, 543, 10412, 630, 10175, 15349, 10412, 1070, 616, 519, 1034, 2442, 17234, 585, 3068, 12308, 338, 267, 543, 789, 616, 849, 1434, 3681, 585, 2407, 20695, 28734, 585, 519, 1560, 1848, 2701, 5267, 9319, 1660, 4802, 17234, 267, 799, 4043, 547, 581, 554, 1513, 615, 593, 2960, 563, 1432, 779, 865, 1434, 827, 29370, 9200, 12308, 338, 888, 288, 29370, 9200, 12308, 814, 519, 1482, 2627, 1858, 607, 513, 10412, 12308, 2185, 2053, 607, 1804, 256, 1656, 621, 568, 1360, 10110, 550, 269, 898, 666, 10110, 5722, 2053, 922, 2597, 538, 1216, 256, 5843, 325, 9200, 2472, 616, 849, 9797, 9901, 267, 2495, 789, 4482, 11874, 9901, 13897, 543, 31294, 563, 3674, 621, 15528, 547, 946, 513, 11547, 743, 1054, 593, 707, 3068, 888, 300, 2814, 281, 1411, 12582, 1406, 946, 513, 11547, 743, 1054, 547, 3819, 707, 3068, 269, 1717, 267, 3751, 1767, 621, 779, 2356, 5386, 547, 946, 513, 2973, 12308, 593, 707, 3068, 952, 596, 968, 326, 1836, 1273, 3819, 1510, 27012, 3034, 3674, 621, 1732, 547, 11547, 1560, 609, 3946, 610, 11547, 743, 1054, 888, 13825, 601, 5576, 1652, 5424, 15565, 26349, 609, 707, 3946, 936, 513, 3138, 1993, 1695, 610, 11547, 743, 1054, 269, 3117, 281, 24732, 616, 711, 2808, 6099, 585, 608, 9110, 2747, 267, 799, 666, 4734, 3297, 13897, 267, 3282, 543, 4666, 2960, 2281, 269, 1133, 30236, 3946, 666, 849, 8764, 622, 2960, 593, 519, 3068, 543, 1560, 609, 18383, 27351, 6748, 4551, 563, 3963, 616, 29370, 9200, 9212, 865, 10464, 888, 9515, 1115, 1500, 540, 29370, 9200, 2443, 5958, 7768, 540, 5393, 5386, 11103, 540, 4874, 6856, 2443, 616, 10097, 543, 2571, 267, 543, 789, 5706, 533, 3739, 811, 982, 2757, 4874, 6856, 5958, 1281, 269, 2560, 29158, 28478, 8124, 9212, 616, 849, 21230, 11720, 539, 543, 1360, 7362, 762, 1317, 789, 2461, 5679, 527, 2864, 982, 18955, 563, 3674, 29370, 9200, 1732, 982, 10412, 888, 19859, 325, 9200, 5288, 269, 29158, 269, 2755, 10412, 568, 513, 2067, 6775, 267, 29370, 9200, 568, 1500, 689, 10991, 2326, 267, 3335, 513, 4874, 6856, 5991, 14125, 11100, 269, 2560, 1809, 7738, 4966, 2161, 267, 950, 3379, 2427, 8386, 20933, 267, 29370, 9200, 568, 5693, 9120, 547, 10412, 269, 0, 268, 2052, 596, 7639, 554, 656, 8785, 888, 268, 1684, 2777, 8983, 4163, 519, 554, 656, 8785, 888, 268, 6496, 8670, 12853, 6146, 554, 656, 8785, 888, 268, 1548, 568, 519, 6668, 2557, 540, 554, 656, 8785, 888, 268, 7316, 568, 554, 656, 8785, 1034, 1455, 888, 268, 1215, 2693, 568, 621, 547, 1205, 554, 656, 8785, 888, 268, 1548, 21149, 656, 19754, 554, 656, 8785, 888, 268, 1215, 1279, 666, 554, 656, 8785, 7639, 16280, 888, 268, 1548, 952, 594, 12511, 539, 10856, 5323, 25940, 888, 268, 1772, 519, 554, 656, 8785, 23197 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1328, 5052, 513, 539, 517, 476, 271, 269, 6349, 630, 271, 269, 6349, 264, 32148, 642, 790, 334, 4534, 476, 271, 269, 6860, 630, 271, 269, 6349, 264, 14400, 16009, 4526, 623, 597, 18553, 6299, 571, 476, 271, 630, 271, 264, 17166, 781, 1912, 4141, 2041, 17166, 1941, 529, 2161, 320, 476, 271, 269, 4905, 630, 271, 269, 4905, 264, 32148, 1250, 328, 1105, 639, 4534, 476, 271, 630, 271, 264, 4210, 1622, 517, 781, 4278, 2313, 6869, 22654, 579, 560, 592, 9850, 476, 271, 269, 6349, 630, 271, 269, 6349, 264, 32148, 4278, 2313, 4534, 476, 271, 269, 6349, 630, 271, 269, 6349, 264, 19555, 527, 4278, 2313, 6869, 22654, 8937, 339, 9850, 476, 271, 269, 6349, 630, 271, 269, 6349, 264, 32431, 539, 610, 1470, 548, 594, 551, 518, 639, 19293, 1638, 9850, 476, 271, 630, 271, 264, 32148, 610, 1470, 548, 4534, 476, 271, 630, 271, 264, 8832, 1612, 3121, 3474, 3121, 5643, 545, 3570, 476, 271, 630, 271, 264, 4024, 578, 8038, 13906, 7815, 2506, 3671, 517, 1314, 911, 650, 4512, 476, 271, 630, 271, 264, 590, 720, 4278, 553, 615, 20957, 8113, 641, 5052, 1395, 11927, 639, 476, 271, 269, 6734, 630, 271, 269, 6349, 264, 11910, 328, 2100, 23832, 12704, 24639, 961, 3121, 1289, 328, 2100, 476, 271, 269, 4905, 630, 271, 269, 4905, 264, 22110, 23469, 838, 5535, 1975, 714, 7578, 23080, 5866, 476, 271, 630, 271, 264, 22630, 8038, 13906, 7815, 2506, 3671, 517, 1314, 530, 2431, 4512, 476, 271, 630, 271, 264, 30623, 1180, 781, 8038, 13906, 7815, 2506, 3671, 517, 1314, 554, 2459, 1180, 4512, 476, 271, 630, 271, 264, 12493, 781, 838, 5535, 9253, 2214, 21289, 13274, 11181, 4512, 476, 271, 630, 271, 264, 1773, 636, 2041, 748, 642, 790, 334, 966, 790, 334, 20034, 2041, 639, 476, 271, 630, 271, 264, 681, 18860, 748, 23832, 12704, 17286, 553, 874, 11501, 8297, 325, 639, 476, 271, 630, 271, 264, 32148, 16009, 4526, 4534, 476, 271, 630, 271, 264, 15661, 22085, 27020, 14355, 781, 2112, 321, 2401, 2608, 476, 279, 269, 10463, 630, 272, 269, 1691, 264, 645, 476, 275, 269, 3953, 630, 271, 269, 9834, 264, 13235, 5871, 5835, 628, 9130, 2608, 476, 273, 269, 1724, 630, 271, 269, 4649, 264, 645, 476, 272, 269, 9032, 630, 272, 269, 7906, 264, 9474, 30179, 518, 781, 838, 5535, 2608, 476, 1015, 269, 3066, 630, 275, 269, 1839, 264, 645, 476, 1015, 269, 8287, 630, 1015, 269, 4510, 264, 9474, 12891, 6253, 549, 730, 8038, 13906, 7815, 2608, 476, 275, 269, 10463, 630, 271, 269, 5325, 264, 645, 476, 275, 269, 2420, 630, 272, 269, 3374, 264, 7460, 32148, 2112, 321, 2401, 476, 273, 269, 8618, 630, 271, 269, 4097, 264, 476, 272, 269, 10436, 630, 271, 269, 4510, 264, 5375, 8038, 13906, 7815, 2608, 476, 274, 269, 5952, 630, 271, 269, 3451, 264, 645, 476, 274, 269, 10037, 630, 271, 269, 7830, 264, 7460, 2782, 17331, 642, 790, 334, 2608, 476, 274, 269, 2641, 630, 271, 269, 4510, 264, 645, 476, 273, 269, 4510, 630, 271, 269, 8064, 264, 9474, 21060, 2275, 27547, 2112, 321, 2401, 2608, 476, 273, 269, 10019, 630, 271, 269, 274, 264, 476, 272, 269, 5392, 630, 271, 269, 3393, 264, 14117, 32567, 3109, 12704, 2608, 476, 271, 269, 274, 630, 271, 269, 1321, 264, 645, 476, 271, 630, 271, 264, 9474, 27850, 6807, 2112, 321, 2401, 2608, 476, 272, 269, 280, 630, 271, 269, 2767, 264, 645, 476, 272, 269, 6795, 630, 271, 269, 6795, 264, 13235, 32148, 3227, 573, 517, 1314, 476, 272, 269, 5325, 630, 271, 269, 273, 264, 476, 272, 269, 1704, 630, 271, 269, 2767, 264, 14117, 8573, 22981, 2112, 321, 2401, 2608, 476, 272, 269, 5881, 630, 271, 269, 1428, 264, 589, 476, 271, 269, 4029, 630, 271, 269, 1428, 264, 589, 5375, 4622, 12704, 2608, 476, 272, 269, 2537, 630, 271, 269, 3374, 264, 589, 476, 271, 269, 277, 630, 271, 269, 4391, 264, 589, 5375, 16009, 4526, 2608, 476, 272, 269, 273, 630, 271, 269, 2190, 264, 645, 476, 271, 269, 7871, 630, 271, 269, 2537, 264, 9474, 4563, 6253, 549, 730, 12457, 476, 272, 269, 5400, 630, 271, 269, 2641, 264, 589, 476, 272, 269, 866, 630, 271, 269, 4366, 264, 9474, 2112, 321, 2401, 2608, 21667, 781, 2112, 321, 2401, 2608, 476, 271, 269, 10037, 630, 271, 269, 2641, 264, 589, 476, 271, 269, 10844, 630, 271, 269, 5392, 264, 589, 5839, 294, 650, 643, 2001, 781, 2112, 321, 2401, 2608, 476, 271, 269, 10436, 630, 271, 269, 1321, 264, 589, 476, 272, 269, 4962, 630, 271, 269, 5655, 264, 589, 14117, 2112, 321, 2401, 2608, 476, 271, 269, 5952, 630, 271, 269, 1724, 264, 589, 476, 271, 269, 4391, 630, 271, 269, 1428, 264, 589, 9791, 575, 4592, 2041, 752, 2608, 476, 271, 269, 1428, 630, 271, 269, 4962, 264, 645, 476, 271, 269, 7906, 630, 271, 269, 1428, 264, 9474, 24104, 754, 781, 2112, 321, 2401, 2608, 476, 271, 269, 10170, 630, 271, 269, 1321, 264, 589, 476, 271, 269, 4343, 630, 271, 269, 272, 264, 9474, 18409, 1442, 781, 610, 1470, 548, 2608, 476, 271, 269, 11152, 630, 271, 269, 1704, 264, 476, 271, 269, 272, 630, 271, 269, 5881, 264, 32148, 23832, 12704, 476, 271, 269, 6812, 630, 271, 269, 1321, 264, 476, 271, 269, 4343, 1496, 266, 610, 910, 316, 630, 271, 269, 273, 264, 4563, 7302, 514, 2740, 476, 271, 269, 5780, 630, 271, 269, 1704, 264, 589, 476, 271, 269, 272, 630, 271, 269, 6860, 264, 589, 23832, 12704, 2608, 4563, 32567, 575, 4592, 2041, 752, 476, 271, 269, 4375, 630, 271, 269, 5881, 264, 476, 271, 269, 3393, 630, 271, 269, 1724, 264, 5375, 3574, 24406, 933, 324, 476, 271, 269, 7367, 630, 271, 269, 6187, 264, 476, 271, 269, 3374, 630, 271, 269, 6187, 264, 6519, 2275, 27547, 838, 5535, 476, 271, 269, 7906, 630, 271, 269, 1321, 264, 476, 271, 269, 5780, 630, 271, 269, 3953, 264, 14117, 22249, 16556, 10004, 476, 271, 269, 866, 630, 271, 269, 6021, 264, 476, 271, 269, 6078, 630, 271, 269, 2918, 264, 932, 6235, 838, 5535, 476, 271, 269, 4391, 630, 271, 269, 2420, 264, 476, 271, 269, 2190, 630, 271, 269, 1626, 264, 32303, 25625, 1207, 660, 532, 476, 271, 269, 274, 630, 271, 269, 5881, 264, 476, 271, 269, 3374, 630, 271, 269, 1839, 264, 13852, 781, 642, 790, 334, 476, 271, 269, 273, 630, 271, 269, 1724, 264, 476, 271, 630, 271, 264, 9791, 3766, 2001, 28594, 520, 13906, 7815, 476, 271, 269, 1240, 630, 271, 269, 4962, 264, 476, 271, 269, 6734, 630, 271, 269, 6734, 264, 25007, 2275, 27547, 4622, 2280, 476, 271, 269, 272, 630, 271, 269, 6734, 264, 476, 271, 269, 2420, 630, 271, 269, 1556, 264, 29106, 21758, 8038, 13906, 7815, 476, 271, 269, 5881, 630, 271, 269, 6349, 264, 476, 271, 269, 272, 630, 271, 269, 5881, 264, 19555, 527, 2112, 321, 2401, 476, 271, 269, 4962, 630, 271, 269, 6349, 264, 476, 271, 269, 6734, 630, 271, 269, 6734, 264, 18706, 514, 781, 642, 790, 334, 476, 271, 269, 1556, 630, 271, 269, 6734, 264, 476, 271, 269, 6187, 630, 271, 269, 6187, 264, 5682, 26904, 6287, 31649, 476, 271, 269, 1321, 630, 271, 269, 6734, 264, 476, 271, 269, 6187, 630, 271, 269, 6187, 264, 32148, 8038, 13906, 7815, 476, 271, 269, 5881, 630, 271, 269, 6349, 264, 476, 271, 269, 1724, 630, 271, 269, 6021, 264, 5600, 530, 1066, 476, 271, 269, 1321, 630, 271, 269, 6860, 264, 476, 271, 269, 272, 630, 271, 269, 5881, 264, 32148, 642, 790, 334, 476, 271, 269, 272, 630, 271, 269, 6734, 264, 476, 271, 630, 271, 264, 14400, 16009, 4526, 476, 271, 269, 6734, 630, 271, 269, 4905, 264, 476, 271, 630, 271, 264, 17166, 781, 1912, 4141, 2041, 476, 271, 269, 6187, 630, 271, 269, 6734, 264, 476, 271, 630, 271, 264, 32148, 1250, 328, 1105, 639, 476, 271, 269, 6349, 630, 271, 269, 4905, 264, 476, 271, 630, 271, 264, 4210, 1622, 517, 781, 4278, 2313, 476, 271, 269, 6734, 630, 271, 269, 4905, 264, 476, 271, 630, 271, 264, 32148, 4278, 2313, 476, 271, 269, 6349, 630, 271, 269, 4905, 264, 476, 271, 269, 6734, 630, 271, 269, 6734, 264, 19555, 527, 4278, 2313, 476, 271, 269, 6349, 630, 271, 269, 6349, 264, 476, 271, 630, 271, 264, 32431, 539, 610, 1470, 548, 476, 271, 269, 4962, 630, 271, 269, 6734, 264, 476, 271, 630, 271, 264, 32148, 610, 1470, 548, 476, 271, 269, 6734, 630, 271, 269, 6349, 264, 476, 271, 630, 271, 264, 8832, 1612, 3121, 476, 271, 269, 6349, 630, 271, 269, 6349, 264, 476, 271, 630, 271, 264, 4024, 578, 8038, 13906, 7815, 476, 271, 269, 6349, 630, 271, 269, 4905, 264, 476, 271, 630, 271, 264, 590, 720, 4278, 553, 615, 476, 271, 630, 271, 264, 476, 271, 630, 271, 264, 11910, 328, 2100, 23832, 12704, 476, 271, 269, 4905, 630, 271, 269, 4905, 264, 476, 271, 630, 271, 264, 22110, 23469, 838, 5535, 476, 271, 269, 4905, 630, 271, 269, 4905, 264, 476, 271, 630, 271, 264, 22630, 8038, 13906, 7815, 476, 271, 269, 4905, 630, 271, 269, 4905, 264, 476, 271, 269, 6860, 630, 271, 269, 6860, 264, 30623, 1180, 781, 8038, 13906, 7815, 476, 271, 269, 4905, 630, 271, 269, 4905, 264, 476, 271, 630, 271, 264, 12493, 781, 838, 5535, 476, 271, 630, 271, 264, 476, 271, 269, 6734, 630, 271, 269, 6734, 264, 1773, 636, 2041, 748, 642, 790, 334, 476, 271, 630, 271, 264, 476, 271, 630, 271, 264, 681, 18860, 748, 23832, 12704, 476, 271, 269, 4905, 630, 271, 269, 4905, 264, 476, 271, 630, 271, 264, 32148, 16009, 4526, 476, 271, 630, 271, 264, 476, 271, 269, 6734, 630, 271, 269, 6734, 264, 15661, 715, 21254, 14355, 781, 2112, 321, 2401, 2608, 476, 276, 269, 3607, 630, 272, 269, 5881, 264, 9474, 5871, 5835, 628, 9130, 2608, 476, 276, 269, 8618, 630, 272, 269, 4037, 264, 589, 30179, 518, 781, 838, 5535, 2608, 476, 271, 269, 11463, 630, 271, 269, 3953, 264, 589, 12891, 6253, 549, 730, 8038, 13906, 7815, 2608, 476, 274, 269, 1626, 630, 271, 269, 4281, 264, 7460, 32148, 2112, 321, 2401, 476, 274, 269, 4029, 630, 271, 269, 10037, 264, 5375, 8038, 13906, 7815, 2608, 476, 272, 269, 9834, 630, 271, 269, 3607, 264, 8028, 2782, 17331, 642, 790, 334, 2608, 476, 273, 269, 5780, 630, 271, 269, 6872, 264, 645, 21060, 2275, 27547, 2112, 321, 2401, 2608, 476, 272, 269, 10019, 630, 271, 269, 5655, 264, 910, 14117, 32567, 3109, 12704, 2608, 476, 271, 269, 7830, 630, 271, 269, 3607, 264, 645, 27850, 6807, 2112, 321, 2401, 2608, 476, 272, 269, 1691, 630, 271, 269, 2918, 264, 9474, 32148, 3227, 573, 517, 1314, 476, 272, 269, 1428, 630, 271, 269, 3953, 264, 14117, 8573, 22981, 2112, 321, 2401, 2608, 476, 271, 269, 10619, 630, 271, 269, 1704, 264, 589, 5375, 4622, 12704, 2608, 476, 271, 269, 7871, 630, 271, 269, 1691, 264, 589, 5375, 16009, 4526, 2608, 476, 271, 269, 10436, 630, 271, 269, 2537, 264, 9474, 4563, 6253, 549, 730, 12457, 476, 271, 269, 4037, 630, 271, 269, 1240, 264, 9474, 2112, 321, 2401, 2608, 21667, 781, 2112, 321, 2401, 2608, 476, 272, 269, 3607, 630, 271, 269, 7906, 264, 589, 5839, 294, 650, 643, 2001, 781, 2112, 321, 2401, 2608, 476, 271, 269, 6858, 630, 271, 269, 1704, 264, 589, 14117, 2112, 321, 2401, 2608, 476, 271, 269, 4510, 630, 271, 269, 272, 264, 589, 9791, 575, 4592, 2041, 752, 2608, 476, 271, 269, 8287, 630, 271, 269, 273, 264, 589, 24104, 754, 781, 2112, 321, 2401, 2608, 476, 271, 269, 6795, 630, 271, 269, 1691, 264, 9474, 18409, 1442, 781, 610, 1470, 548, 2608, 476, 271, 269, 2764, 630, 271, 269, 6187, 264, 910, 32148, 23832, 12704, 476, 271, 269, 4510, 1496, 266, 610, 910, 316, 630, 271, 269, 6021, 264, 4563, 7302, 514, 2740, 476, 271, 269, 5655, 630, 271, 269, 1691, 264, 589, 23832, 12704, 2608, 4563, 32567, 575, 4592, 2041, 752, 476, 271, 269, 4343, 630, 271, 269, 5881, 264, 5375, 3574, 24406, 933, 324, 476, 271, 269, 5379, 630, 271, 269, 272, 264, 6519, 2275, 27547, 838, 5535, 476, 271, 269, 1321, 630, 271, 269, 6860, 264, 14117, 22249 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16700, 1211, 4328, 5432, 8188, 607, 21046, 610, 13030, 17930, 563, 276, 269, 5438, 1329, 1424, 4160, 267, 2566, 267, 610, 21084, 5615, 950, 2502, 538, 1514, 3871, 780, 28536, 3151, 5294, 641, 1725, 657, 807, 3335, 3322, 5778, 17595, 1670, 10526, 7893, 11132, 6284, 5759, 7258, 15194, 856, 4244, 3137, 971, 607, 3308, 989, 333, 657, 807, 610, 10295, 8552, 4524, 269, 9208, 1242, 4255, 1331, 519, 11062, 8131, 15350, 4530, 630, 20003, 21587, 264, 610, 28564, 517, 11120, 658, 23779, 4530, 630, 289, 15709, 307, 1040, 1452, 20241, 948, 4648, 3715, 513, 17046, 5868, 1247, 11008, 1944, 519, 1377, 540, 15717, 1107, 7646, 267, 9793, 267, 4049, 267, 610, 7096, 780, 27246, 543, 11020, 9577, 454, 10900, 7042, 10907, 638, 1600, 5294, 641, 1725, 657, 807, 14340, 689, 3441, 547, 1880, 4525, 1369, 519, 13796, 10981, 525, 267, 4481, 519, 535, 639, 6134, 14934, 6350, 543, 1624, 760, 527, 582, 32294, 16794, 269, 634, 1318, 21571, 4249, 513, 8789, 1909, 538, 4393, 11132, 2934, 3379, 547, 519, 2451, 269, 9182, 267, 7063, 7133, 519, 1318, 2427, 540, 519, 2634, 2356, 1267, 538, 811, 14733, 22907, 982, 1346, 9648, 593, 519, 2451, 780, 1103, 4334, 267, 11095, 5294, 641, 1725, 657, 807, 11710, 689, 12012, 8849, 14479, 1282, 2565, 5712, 540, 2634, 1646, 2864, 982, 9715, 2634, 3441, 269, 18726, 2188, 3565, 3648, 547, 713, 1106, 540, 3068, 21901, 267, 609, 1896, 11134, 6090, 896, 7634, 269, 1280, 3236, 267, 3173, 723, 4857, 14726, 538, 681, 15477, 302, 272, 267, 744, 311, 11403, 267, 543, 8121, 295, 294, 9128, 277, 2404, 609, 2799, 18687, 547, 22787, 5294, 641, 1725, 657, 807, 269, 1717, 267, 2417, 13753, 616, 2556, 547, 30881, 519, 2347, 4719, 6189, 5817, 713, 2783, 780, 21675, 22604, 454, 2411, 21387, 25387, 267, 1100, 10826, 6818, 585, 2901, 1106, 540, 5294, 641, 1725, 657, 807, 269, 11048, 267, 6304, 2994, 2832, 547, 2087, 6198, 9542, 543, 9104, 2218, 1983, 269, 9615, 2409, 7854, 2866, 3292, 13389, 11455, 3068, 4393, 267, 4062, 22596, 4183, 2079, 267, 18906, 1308, 17293, 2553, 267, 543, 1582, 18221, 19349, 269, 4014, 3908, 12170, 2963, 7028, 891, 4485, 267, 16861, 4681, 2303, 16434, 9283, 538, 11132, 6284, 5759, 1739, 7459, 780, 21010, 687, 547, 7351, 3194, 454, 10900, 19567, 25748, 267, 3744, 723, 13175, 14139, 4359, 5778, 574, 1645, 2645, 899, 535, 28122, 543, 661, 9680, 547, 2263, 8849, 31426, 540, 5294, 641, 1725, 657, 807, 1732, 269, 6270, 3646, 3366, 547, 12423, 32623, 7949, 3270, 540, 11852, 543, 15222, 1436, 1851, 2634, 5121, 26582, 538, 11132, 8226, 543, 3965, 269, 5015, 267, 3209, 2780, 2861, 13261, 2866, 26336, 1397, 9153, 538, 7393, 11132, 6284, 2773, 267, 5732, 22338, 519, 1259, 585, 10531, 9354, 7459, 3358, 547, 1367, 2115, 780, 11101, 267, 5571, 1382, 7710, 6772, 2355, 1063, 5294, 641, 1725, 657, 807, 543, 824, 14715, 2175, 267, 1519, 10295, 8552, 4524, 630, 32359, 1070, 18624, 267, 543, 12216, 781, 2068, 269, 15766, 908, 3838, 5042, 543, 8849, 26828, 2066, 891, 4713, 1223, 8774, 1769, 593, 4909, 3344, 540, 1480, 17133, 1247, 5356, 3407, 4030, 883, 1761, 32598, 2994, 780, 6962, 454, 29603, 2414, 17412, 267, 5294, 641, 1725, 657, 807, 4564, 513, 9159, 6389, 1369, 2618, 31752, 267, 3226, 7282, 3965, 4713, 269, 1635, 6313, 922, 19183, 267, 10368, 5773, 267, 5817, 3123, 267, 2139, 5574, 267, 543, 4296, 547, 4207, 1382, 267, 649, 2744, 513, 4514, 7071, 585, 519, 6988, 540, 11132, 6284, 3157, 543, 519, 7415, 6043, 17820, 676, 1346, 3413, 21719, 609, 713, 2189, 2783, 269, 1306, 2104, 16895, 267, 1620, 5294, 641, 1725, 657, 807, 5713, 607, 1312, 513, 15266, 547, 1480, 4557, 13369, 543, 513, 1289, 547, 2962, 585, 14027, 3621, 6602, 543, 4791, 2259, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3682, 338, 641, 1725, 657, 807, 267, 849, 1572, 3068, 21901, 267, 568, 606, 15717, 538, 519, 6284, 540, 8188, 269, 898, 568, 1419, 10483, 676, 824, 2010, 540, 6284, 23043, 630, 2897, 6284, 267, 1286, 6284, 267, 11132, 4082, 540, 7553, 267, 3092, 4700, 1498, 3006, 621, 5526, 547, 581, 11658, 547, 11132, 3961, 563, 14188, 596, 865, 1454, 585, 11049, 713, 2985, 543, 4687, 707, 1702, 609, 1866, 2336, 10932, 2578, 637, 543, 1353, 540, 18370, 641, 1725, 657, 807, 314, 539, 527, 1923, 12575, 2707, 2639, 299, 19313, 5576, 7356, 345, 331, 267, 7931, 2088, 6022, 1069, 334, 267, 8834, 1546, 700, 20811, 267, 18332, 29828, 749, 267, 7931, 2088, 6022, 1069, 334, 267, 23729, 534, 4024, 529, 693, 519, 5839, 638, 541, 773, 10418, 585, 15465, 3163, 630, 300, 3722, 5425, 1070, 5839, 638, 541, 773, 2160, 267, 17638, 269, 2701, 568, 15388, 2185, 5481, 540, 835, 1920, 945, 616, 4299, 676, 22787, 5294, 641, 1725, 657, 807, 267, 3843, 547, 1265, 856, 799, 829, 24632, 543, 5042, 3157, 2736, 1524, 538, 22787, 5294, 641, 1725, 657, 807, 269, 2701, 568, 849, 3168, 693, 2436, 519, 2783, 568, 22420, 610, 4719, 269, 834, 22102, 1453, 945, 723, 713, 7411, 949, 1419, 581, 3765, 10972, 30938, 609, 24040, 7965, 257, 630, 300, 3722, 5425, 476, 1220, 277, 1916, 27778, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3682, 338, 641, 1725, 657, 807, 630, 293, 864, 32559, 1145, 17983, 607, 851, 540, 834, 25787, 1315, 5369, 31752, 1315, 15350, 15136, 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, 476, 277, 269, 274, 634, 6356, 4369, 540, 589, 2513, 819, 28073, 692, 7072, 692, 1103, 713, 3296, 267, 649, 786, 4983, 519, 18454, 543, 14286, 540, 1312, 3140, 543, 4207, 20552, 5322, 269, 2755, 8474, 814, 1044, 13166, 27618, 538, 1034, 2477, 1472, 519, 1158, 267, 621, 1869, 6818, 538, 1585, 3029, 2221, 267, 971, 607, 7142, 4074, 267, 1126, 7980, 267, 3023, 19338, 267, 543, 7963, 6125, 720, 269, 901, 8711, 519, 5571, 991, 585, 2500, 20552, 3646, 269, 1284, 786, 2263, 1018, 2188, 3565, 547, 3811, 20552, 5322, 267, 607, 1134, 607, 2591, 5185, 676, 891, 5322, 2429, 1686, 269, 3414, 2013, 2090, 543, 2079, 267, 1053, 786, 2744, 606, 1620, 540, 875, 1514, 1689, 666, 2049, 998, 29065, 12180, 267, 9086, 267, 543, 3486, 9316, 780, 4089, 476, 277, 269, 274, 269, 272, 11790, 19928, 5024, 547, 21988, 589, 2513, 819, 28073, 692, 306, 22066, 20552, 5322, 1419, 2671, 1455, 4162, 267, 1519, 2178, 5718, 267, 7580, 4058, 267, 1857, 4656, 11044, 267, 2797, 24816, 267, 543, 16177, 269, 769, 6313, 891, 2609, 811, 5702, 267, 649, 786, 1865, 1896, 7986, 3140, 2665, 1141, 20552, 1235, 6707, 8694, 3656, 1242, 8474, 610, 3648, 4389, 922, 9860, 780, 19111, 5530, 281, 634, 3703, 589, 2513, 819, 11873, 630, 9965, 278, 1700, 8146, 279, 2020, 763, 3703, 20552, 3350, 5713, 607, 606, 5140, 1383, 540, 513, 3810, 2500, 5859, 1996, 8474, 269, 27439, 676, 5515, 971, 607, 5261, 12070, 828, 4403, 543, 7338, 1849, 10225, 517, 267, 519, 3350, 6964, 12485, 899, 4620, 1431, 267, 15872, 267, 30732, 7410, 267, 543, 25211, 532, 16840, 540, 12057, 547, 3035, 741, 3853, 269, 6206, 19325, 3769, 1384, 272, 269, 19725, 540, 519, 5980, 585, 6356, 532, 519, 589, 2513, 819, 540, 519, 32013, 11780, 538, 476, 9965, 278, 454, 273, 269, 22910, 540, 9565, 1568, 267, 1519, 4982, 10730, 781, 21624, 21931, 543, 1849, 10225, 517, 781, 4828, 593, 519, 26913, 543, 25642, 540, 519, 5274, 15661, 454, 274, 269, 21988, 8574, 540, 519, 32013, 11780, 2920, 538, 476, 5197, 278, 267, 799, 7979, 31090, 519, 1098, 520, 23007, 10553, 4123, 1369, 519, 3703, 7276, 454, 275, 269, 7926, 783, 31414, 540, 20665, 1004, 538, 3703, 10125, 609, 519, 26913, 589, 2513, 819, 2920, 540, 476, 8146, 274, 692, 26502, 7700, 547, 519, 1967, 540, 519, 3703, 20552, 3350, 1331, 1384, 268, 16200, 15557, 281, 4077, 29487, 3401, 899, 12070, 828, 4403, 27647, 1242, 1489, 689, 3309, 2516, 2066, 2486, 563, 268, 21864, 12020, 281, 589, 2513, 819, 1235, 5402, 20291, 741, 3527, 267, 2519, 1101, 593, 10678, 519, 10553, 4123, 1354, 13389, 8474, 3294, 563, 268, 5398, 17607, 22411, 338, 281, 2920, 643, 1235, 1031, 1820, 2923, 267, 18531, 267, 543, 824, 1797, 547, 6318, 9637, 827, 519, 3520, 5558, 540, 8474, 543, 519, 2956, 540, 20552, 563, 268, 11572, 2353, 10662, 281, 1635, 2324, 5702, 609, 25091, 14761, 267, 519, 3350, 729, 2111, 547, 5150, 2629, 15424, 24984, 780, 4089, 476, 277, 269, 274, 269, 273, 12694, 674, 3166, 676, 589, 2513, 819, 28073, 692, 8601, 8037, 10781, 267, 20552, 5322, 723, 849, 11402, 1713, 9465, 2059, 519, 1259, 269, 1452, 2591, 2039, 689, 31737, 2804, 4690, 547, 6848, 28639, 543, 2229, 4187, 269, 4197, 891, 7496, 2337, 721, 5660, 519, 6988, 540, 16701, 21899, 8474, 543, 28279, 938, 1935, 547, 2104, 20552, 3646, 780, 30356, 9314, 338, 692, 3080, 2101, 4161, 6849, 20552, 5322, 568, 29270, 3532, 2804, 4690, 13615, 547, 8474, 269, 25214, 267, 6080, 3710, 2390, 10553, 4074, 1107, 971, 607, 4006, 24914, 267, 10412, 11396, 267, 543, 5599, 4238, 1107, 29937, 539, 9645, 3310, 936, 6608, 543, 5706, 539, 8942, 547, 24905, 548, 519, 9872, 540, 8474, 269, 4634, 2221, 267, 10363, 2238, 899, 7142, 4074, 543, 3023, 19338, 5352, 8101, 12434, 585, 7803, 5121, 267, 1818, 873, 2352, 547, 8396, 780, 306, 1539, 13926, 2776, 9080, 1182, 692, 28308, 569, 3824, 11712, 7292, 267, 6803, 267, 610, 2686, 12886, 666, 17225, 3356, 2509, 13373, 5109, 8474, 269, 6270, 28639, 666, 8915, 538, 1585, 2081, 267, 1519, 25641, 4031, 267, 21376, 1569, 547, 2069, 543, 2200, 267, 543, 2942, 11475, 269, 28304, 891, 8456, 3340, 10770, 14223, 267, 2069, 267, 543, 5188, 6322, 693, 5807, 3152, 1620, 543, 6568, 1851, 1114, 2950, 780, 30025, 18650, 692, 4263, 2053, 267, 6608, 2933, 10460, 9465, 547, 20552, 5322, 269, 2368, 20816, 8362, 7119, 538, 610, 7873, 821, 8474, 267, 1247, 1866, 3111, 547, 17997, 4550, 1606, 18561, 4031, 3927, 1813, 547, 13313, 267, 3668, 540, 2200, 267, 610, 12721, 14422, 269, 4139, 9316, 3587, 1898, 538, 5466, 891, 2152, 267, 607, 7152, 676, 2413, 3646, 547, 8396, 1480, 19338, 998, 1617, 10561, 11650, 543, 3906, 780, 4089, 476, 277, 269, 274, 269, 274, 12634, 589, 2513, 819, 27557, 543, 16497, 3231, 2740, 692, 19465, 2390, 3140, 1806, 543, 5483, 676, 2250, 2833, 267, 4207, 20552, 5322, 3136, 547, 960, 2509, 14874, 8474, 538, 782, 922, 3029, 269, 24167, 2487, 18454, 543, 22303, 2636, 721, 547, 2697, 1655, 2853, 543, 2127, 8506, 6454, 780, 19111, 5530, 281, 14640, 6874, 571, 16751, 9024, 328, 2510, 538, 519, 2136, 2276, 630, 1220, 271, 1700, 303, 6974, 2020, 7712, 519, 8429, 540, 519, 3004, 16751, 7861, 15501, 10466, 2920, 630, 29552, 5183, 264, 538, 476, 1220, 271, 267, 519, 2136, 2276, 814, 3144, 1713, 3268, 547, 2232, 1480, 19338, 1312, 29143, 1227, 543, 18368, 269, 6206, 18517, 1331, 1384, 272, 269, 19372, 618, 540, 519, 8433, 547, 18554, 543, 10395, 520, 3004, 16751, 538, 31080, 1369, 519, 3557, 4972, 454, 273, 269, 20520, 540, 519, 5993, 3004, 16751, 538, 31080, 7797, 267, 12570, 2518, 3646, 547, 8396, 1480, 19338, 454, 274, 269, 23840, 540, 3292, 3246, 2533, 547, 19338, 15000, 543, 5885, 6604, 3646, 692, 4913, 267, 2591, 2611, 267, 971, 607, 22522, 11268, 540, 4550, 13652, 16751, 4031, 267, 13385, 7616, 585, 6408, 2533, 267, 543, 3908, 1239, 4015, 593, 519, 9165, 540, 519, 1966, 780, 27832, 976, 4121, 689, 772, 2529, 269, 4550, 13652, 16751, 7341, 1331, 1384, 268, 11957, 540, 18489, 3175, 281, 7605, 755, 4031, 1683, 513, 5748, 585, 28530, 1480, 19338, 267, 855, 789, 1590, 581, 10483, 676, 7850, 2200, 543, 24526, 11268, 563, 268, 4591, 2065, 13979, 281, 18601, 1480, 19338, 19329, 3102, 2994, 5473, 1876, 11268, 267, 3028, 7426, 267, 2146, 25696, 267, 543, 14519, 563, 268, 4578, 14635, 543, 3194, 281, 6452 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1344, 6772, 4660, 593, 1283, 540, 621, 563, 7078, 281, 30482, 8121, 3014, 968, 18662, 17714, 540, 1677, 1824, 892, 693, 6022, 600, 2224, 7467, 454, 29919, 4641, 630, 23623, 264, 568, 513, 2780, 24378, 1604, 1818, 519, 16045, 1745, 519, 4527, 543, 9284, 4369, 269, 1306, 649, 2161, 267, 835, 4641, 693, 513, 942, 269, 9462, 502, 487, 454, 7078, 281, 6250, 6002, 538, 519, 5384, 5800, 531, 968, 23623, 1677, 10042, 476, 4350, 279, 7536, 274, 291, 21558, 2480, 8911, 568, 519, 1184, 547, 5531, 2143, 1344, 689, 707, 31840, 547, 1804, 8075, 543, 4478, 5054, 538, 513, 1360, 2110, 942, 563, 274, 291, 16879, 11837, 568, 513, 16879, 4480, 676, 799, 1614, 8820, 3615, 616, 22883, 6053, 25528, 593, 519, 5691, 1982, 799, 13147, 923, 519, 1483, 1604, 789, 616, 547, 581, 15810, 593, 563, 274, 291, 554, 860, 1090, 568, 513, 476, 274, 291, 16879, 2813, 676, 519, 1201, 3555, 540, 1769, 602, 6083, 1846, 538, 519, 2011, 269, 9521, 513, 2757, 8666, 267, 513, 554, 860, 1090, 568, 513, 1614, 8820, 3239, 267, 543, 7429, 15283, 270, 2752, 3156, 267, 476, 274, 291, 554, 860, 2449, 616, 7298, 547, 2789, 1004, 693, 519, 1482, 942, 563, 7078, 281, 476, 274, 291, 554, 860, 1090, 10987, 1985, 547, 519, 3504, 581, 12317, 633, 693, 519, 15223, 520, 572, 9754, 0, 16521, 519, 1072, 1543, 602, 779, 1318, 585, 596, 267, 543, 1205, 621, 9447, 1318, 538, 707, 28600, 563, 10376, 1032, 267, 811, 543, 811, 4892, 1451, 789, 723, 3987, 269, 1656, 267, 1247, 1472, 476, 4391, 2929, 1004, 723, 519, 5312, 2783, 267, 5176, 476, 280, 2929, 1810, 1406, 1256, 917, 621, 2943, 269, 12128, 17607, 13600, 267, 4767, 1142, 5437, 267, 6663, 547, 2539, 1312, 2338, 2443, 676, 18997, 1004, 593, 3987, 267, 3478, 519, 2262, 856, 602, 6604, 568, 2009, 543, 10223, 519, 2956, 540, 2038, 7020, 563, 1432, 568, 12128, 888, 30048, 568, 513, 2783, 602, 5540, 875, 707, 1560, 7140, 1426, 883, 1648, 269, 1403, 596, 723, 3987, 267, 1256, 1498, 707, 1560, 9397, 1524, 1426, 883, 4006, 630, 6921, 26651, 264, 543, 13847, 621, 883, 707, 18072, 607, 621, 7363, 1131, 267, 621, 2901, 3085, 1406, 1118, 2614, 7378, 610, 568, 8572, 547, 946, 519, 7378, 621, 2306, 607, 1134, 607, 621, 1058, 547, 948, 707, 1560, 779, 2281, 946, 621, 585, 1648, 563, 2691, 2901, 540, 891, 2152, 4523, 267, 1932, 1454, 1973, 4006, 13978, 538, 707, 18072, 267, 3056, 547, 3978, 1072, 2042, 899, 2295, 543, 8459, 2068, 269, 4340, 547, 519, 15544, 585, 8376, 6513, 543, 10644, 267, 3987, 568, 519, 3056, 2014, 540, 8459, 5821, 563, 303, 1042, 328, 3449, 568, 950, 707, 1973, 4006, 1377, 568, 2362, 982, 3339, 855, 711, 3833, 1164, 2614, 585, 513, 3987, 5868, 269, 9282, 2057, 762, 267, 1082, 1004, 8995, 609, 2392, 328, 3449, 5555, 1020, 7392, 476, 273, 3987, 563, 15650, 540, 12128, 454, 13911, 476, 272, 12128, 454, 13911, 476, 272, 3987, 814, 1585, 3123, 267, 1519, 4719, 543, 2825, 2188, 267, 602, 3744, 3494, 2014, 707, 1560, 779, 4761, 1062, 547, 9594, 606, 4323, 543, 6861, 519, 25524, 2281, 602, 1118, 7378, 269, 2755, 621, 666, 581, 8995, 693, 1022, 2085, 267, 7392, 476, 272, 3987, 568, 1419, 8995, 538, 1453, 543, 14038, 269, 12580, 1644, 547, 7392, 476, 272, 3987, 267, 899, 7928, 30614, 543, 4049, 19818, 267, 3335, 2097, 593, 3533, 269, 8307, 827, 476, 276, 547, 476, 1015, 4939, 540, 1004, 609, 3987, 723, 7392, 476, 272, 3987, 267, 2687, 547, 7194, 689, 519, 15509, 563, 13911, 476, 273, 12128, 454, 7197, 1004, 609, 3987, 723, 7392, 476, 273, 267, 1419, 3384, 538, 1004, 936, 476, 3393, 269, 6970, 4310, 676, 2281, 711, 14775, 607, 789, 1058, 547, 7378, 267, 1634, 607, 7378, 4187, 267, 7392, 476, 273, 3987, 666, 1291, 547, 1164, 1973, 4006, 2157, 538, 519, 18072, 269, 9521, 7392, 476, 272, 3987, 267, 2589, 540, 1004, 609, 7392, 476, 273, 3987, 4043, 547, 1020, 543, 2408, 7444, 563, 294, 652, 1049, 3987, 5540, 9176, 2021, 269, 2060, 713, 1826, 540, 3987, 267, 10399, 7519, 519, 2504, 610, 1599, 540, 707, 7378, 2157, 267, 3056, 547, 1164, 1973, 4006, 2157, 538, 707, 18072, 269, 4014, 621, 2356, 7449, 1938, 1310, 707, 4816, 568, 4535, 267, 29556, 3987, 4679, 707, 1981, 540, 3384, 7392, 476, 273, 3987, 2663, 538, 1272, 269, 898, 666, 849, 1860, 707, 4816, 267, 2810, 741, 1981, 540, 8377, 610, 3384, 7392, 476, 273, 3987, 563, 303, 1042, 328, 3449, 568, 31181, 267, 543, 7392, 476, 273, 3987, 666, 581, 15286, 267, 4824, 267, 543, 3006, 1256, 20328, 269, 3371, 616, 2947, 6197, 4388, 547, 2936, 547, 948, 2061, 3987, 563, 12024, 1373, 14968, 610, 17324, 267, 7296, 3648, 4679, 707, 1981, 540, 3384, 3987, 563, 292, 520, 513, 13245, 543, 7195, 2331, 10791, 454, 7312, 2732, 5540, 707, 1973, 4006, 2157, 269, 2334, 779, 1946, 596, 1058, 1445, 593, 4189, 7899, 540, 5388, 267, 5613, 543, 2898, 9274, 543, 12145, 3536, 1164, 538, 4006, 543, 3170, 563, 19865, 666, 849, 948, 596, 2226, 513, 2635, 2597, 543, 2087, 707, 6091, 685, 2702, 547, 946, 7378, 267, 3976, 1447, 2287, 2566, 593, 519, 25524, 2281, 1141, 7378, 568, 3812, 563, 12024, 707, 1426, 267, 1018, 596, 4235, 849, 5540, 707, 1973, 4006, 2157, 269, 29879, 543, 824, 10425, 1164, 538, 4006, 543, 11950, 949, 6318, 707, 2157, 543, 2333, 707, 1981, 585, 3987, 267, 2523, 950, 10057, 5781, 563, 299, 846, 21418, 13379, 454, 18455, 14968, 610, 17324, 666, 3648, 2333, 707, 1981, 540, 3384, 7392, 476, 273, 3987, 563, 15900, 24544, 540, 12128, 454, 28536, 3151, 3987, 2038, 568, 4105, 547, 16715, 707, 1981, 540, 3384, 8374, 1644, 547, 519, 2068, 269, 1280, 1383, 267, 1317, 7392, 476, 273, 3987, 5540, 1082, 2101, 8219, 267, 899, 519, 2295, 267, 1973, 8043, 267, 13285, 267, 4064, 543, 14401, 267, 621, 779, 5532, 547, 513, 2362, 10171, 540, 3384, 2042, 538, 891, 2694, 540, 519, 1560, 267, 1519, 2295, 2068, 267, 8459, 2068, 267, 3750, 3676, 543, 8229, 3441, 563, 2791, 666, 1205, 7318, 585, 3987, 609, 513, 2241, 1973, 1449, 269, 634, 772, 2529, 269, 16473, 633, 7896, 17130, 10414, 15565, 4152, 585, 2392, 328, 3449, 543, 7392, 476, 273, 3987, 585, 4079, 6502, 476, 3374, 547, 476, 4037, 945, 616, 14968, 610, 17324, 563, 30048, 5516, 693, 13491, 10890, 454, 31572, 3987, 666, 581, 4101, 267, 855, 707, 1416, 8502, 666, 948, 596, 1832, 707, 1973, 4006, 2157, 538, 2638, 865, 596, 666, 2661, 513, 2898, 267, 16180, 1272, 269, 0, 5970, 596, 2479, 1185, 707, 6174, 2736, 1524, 538, 519, 1647, 540, 519, 19814, 286, 2334, 2731, 588, 3855, 256, 2659, 1286, 814, 547, 581, 9108, 15504, 547, 519, 2427, 540, 519, 4155, 269, 3973, 596, 2693, 1930, 707, 26372, 543, 1491, 513, 1413, 693, 519, 2599, 269, 5808, 6487, 1946, 888, 24109, 528, 3585, 267, 596, 1869, 798, 713, 5103, 519, 1249, 602, 596, 723, 1100, 1702, 540, 9817, 269, 9320, 8726, 568, 4636, 786, 581, 6654, 269, 11086, 267, 596, 723, 547, 1289, 2576, 547, 6287, 707, 1286, 547, 513, 25880, 563, 4517, 513, 4605, 540, 519, 3390, 1152, 3587, 6654, 950, 4966, 13209, 621, 269, 3807, 1317, 519, 1286, 3884, 1406, 4358, 267, 3085, 1406, 1611, 596, 666, 917, 1018, 779, 4636, 609, 621, 1317, 26873, 616, 1950, 543, 2780, 1242, 6191, 563, 763, 1482, 3364, 666, 4755, 3006, 609, 6217, 2530, 269, 634, 10835, 3294, 3085, 1406, 8850, 5815, 1018, 519, 2014, 568, 269, 17610, 267, 6846, 5829, 6217, 2530, 568, 519, 6093, 27521, 269, 1809, 3006, 267, 1945, 3116, 899, 17391, 29302, 568, 519, 2014, 563, 1432, 568, 17391, 29302, 888, 7197, 1004, 1589, 540, 5393, 10978, 6846, 971, 607, 513, 4224, 13447, 610, 513, 15191, 2599, 950, 789, 2015, 6217, 2530, 269, 901, 1106, 540, 6217, 2530, 267, 1634, 607, 9300, 710, 1116, 6217, 2530, 568, 10169, 811, 7294, 982, 602, 267, 855, 596, 1205, 519, 2856, 563, 3719, 3006, 267, 1279, 3856, 6217, 2530, 666, 581, 3361, 676, 1945, 3116, 16310, 6846, 3441, 269, 589, 2783, 1634, 607, 17391, 29302, 267, 1247, 1447, 11342, 267, 666, 538, 930, 2665, 581, 519, 2014, 269, 901, 568, 513, 6217, 4524, 1141, 707, 1274, 543, 6418, 1274, 4309, 4992, 9985, 5386, 267, 855, 585, 930, 2601, 267, 666, 1406, 4628, 10141, 1346, 4992, 547, 707, 2634, 563, 21618, 540, 17391, 29302, 454, 763, 2589, 540, 6671, 6846, 1644, 6217, 2530, 666, 3006, 1413, 513, 2603, 899, 1346, 540, 17391, 29302, 269, 1411, 666, 1406, 5873, 1134, 538, 26776, 3871, 267, 596, 1832, 7432, 519, 4320, 909, 593, 707, 8613, 543, 824, 3457, 267, 602, 4990, 540, 3364, 269, 2334, 779, 1946, 23235, 17391, 29302, 666, 581, 865, 4101, 563, 29423, 7480, 29302, 267, 2705, 267, 814, 930, 2189, 2589, 602, 1118, 31986, 621, 4443, 269, 1452, 14245, 616, 2864, 4396, 10832, 602, 596, 5749, 1406, 7231, 609, 9300, 710, 1116, 6217, 2530, 267, 855, 609, 17391, 29302, 3079, 269, 9282, 267, 607, 2141, 267, 596, 3580, 581, 1732, 5483, 676, 606, 4013, 5868, 689, 721, 563, 763, 811, 2189, 2589, 540, 17391, 29302, 1331, 912, 268, 16319, 3100, 795, 14217, 610, 11821, 281, 901, 568, 267, 2899, 1586, 267, 711, 513, 1966, 609, 4320, 269, 634, 4320, 540, 1018, 596, 2461, 6217, 568, 4625, 3339, 267, 519, 1966, 568, 602, 519, 4992, 3100, 795, 14217, 543, 596, 666, 1406, 1118, 2631, 540, 873, 269, 901, 666, 979, 3564, 519, 9275, 2262, 543, 4019, 547, 782, 2010, 540, 4992, 1472, 596, 563, 268, 634, 17418, 547, 1118, 856, 1913, 281, 6884, 267, 596, 666, 1406, 1174, 1018, 513, 1268, 568, 6031, 1256, 1498, 519, 4320, 568, 1175, 5386, 269, 634, 1913, 3280, 544, 14217, 610, 25302, 563, 268, 14675, 535, 3547, 538, 543, 856, 281, 634, 4320, 540, 3280, 4667, 547, 4473, 543, 2887, 899, 2576, 568, 4730, 609, 519, 4320, 5679, 984, 269, 901, 1223, 581, 513, 1129, 602, 596, 2461, 7231, 609, 17391, 29302, 563, 5278, 3123, 540, 17391, 29302, 454, 4322, 2589, 666, 581, 13994, 4327, 267, 538, 851, 267, 676, 519, 5817, 3123, 3297, 713, 1808, 2783, 269, 898, 949, 711, 581, 1360, 2312, 1946, 596, 723, 2919, 17391, 29302, 593, 513, 2123, 1377, 269, 5637, 1453, 543, 4079, 666, 1995, 713, 4524, 269, 1656, 972, 616, 513, 7008, 540, 1134, 4330, 2009, 3123, 267, 3622, 6340, 912, 268, 715, 2925, 3441, 281, 1703, 779, 513, 8229, 602, 11438, 3280, 6786, 689, 707, 6418, 1274, 547, 519, 6217, 4099, 540, 707, 2634, 269, 1403, 713, 8229, 4991, 8697, 267, 707, 2634, 3085, 1406, 4309, 519, 2407, 5365, 267, 543, 607, 513, 1267, 267, 519, 4992, 621, 968, 5793, 2181, 1206, 892, 786, 3100, 4636, 269, 16319, 949, 3100, 795, 14217, 610, 1932, 9602, 547, 5873, 950, 713, 4523, 563, 268, 28100, 547, 519, 524, 23158, 602, 6494, 6786, 547, 519, 2634, 281, 14675, 666, 1406, 581, 2366, 547, 707, 2634, 538, 2347, 1106, 2899, 891, 2370, 17866, 24827, 723, 1044, 8697, 538, 513, 1808, 1259, 563, 32391, 2188, 540, 17391, 29302, 454, 5278, 1004, 786, 1020, 17391, 29302, 1247, 824, 1004, 4465, 1406, 543, 1100, 835, 568, 2731, 2386, 1946, 269, 2334, 779, 1946, 972, 3884, 1406, 606, 3169, 2257, 547, 7303, 621, 269, 11048, 267, 972, 616, 2673, 12205, 799, 949, 5815, 602, 596, 2461, 693, 513, 2362, 1981, 540, 3384, 713, 2783, 563, 2005, 1058, 581, 5018, 602, 891, 1981, 2188, 616, 711, 18715, 267, 596, 949, 723, 1169, 2582, 835, 540, 891, 1981, 2188, 543, 1869, 711, 1995, 17391, 29302, 269, 1809, 596, 2461, 811, 19250, 2693, 547, 1995, 17391, 29302, 519, 811, 1981, 2188, 596, 723, 563, 32391, 2188, 585, 1453, 454, 2080, 616, 513, 1906, 1981, 2188, 602, 786, 2333, 519, 10171, 540, 17391, 29302, 538, 1453, 912, 268, 589, 1970, 4332, 2597, 454, 268, 4033, 14715, 2175, 454, 268, 589, 3668, 540, 5135, 1354, 4074, 5956, 610, 1282, 4332, 454, 268, 2776, 3410, 610, 16349, 4332, 454, 268, 1323, 11606, 540, 21536, 597, 889, 514, 538, 519, 1973, 630, 321, 559, 597, 889, 514, 568, 513, 3339, 676, 28237, 540, 2699, 1973, 1591, 15059, 994, 268, 20506, 4713, 602, 2014, 795, 16184, 823, 630, 320, 5835, 5920, 547, 519, 2960, 994, 32391, 2188, 585, 4079, 454, 2080, 616, 513, 1906, 17391 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1546, 640, 563, 763, 5682, 6742, 2103, 941, 5640, 267, 7855, 267, 12665, 267, 3173, 267, 3744, 543, 15806, 267, 6466, 519, 6519, 6742, 2103, 941, 1973, 628, 1009, 344, 21847, 267, 1498, 972, 616, 1346, 6519, 6742, 2103, 5827, 540, 8296, 543, 10952, 7326, 267, 6697, 547, 513, 5682, 6742, 1014, 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 ]
[ 533, 696, 10768, 17989, 270, 31756, 12175, 1403, 596, 616, 14202, 532, 811, 982, 835, 3758, 267, 1175, 1039, 2810, 2338, 547, 519, 3758, 2012, 630, 1410, 281, 18475, 29662, 1091, 5652, 29806, 273, 27970, 267, 18475, 29662, 1091, 5652, 29806, 274, 27970, 267, 3092, 8094, 17920, 4170, 1590, 581, 6192, 547, 1780, 713, 1576, 563, 17345, 23317, 543, 24727, 454, 291, 1737, 6050, 281, 2353, 21852, 616, 674, 2562, 3201, 267, 1100, 24909, 610, 1118, 13522, 786, 581, 11292, 269, 1703, 786, 581, 1100, 538, 1260, 921, 5052, 585, 713, 1576, 269, 17623, 2854, 10467, 786, 581, 6825, 1524, 476, 276, 2798, 952, 5828, 538, 3735, 593, 519, 1554, 540, 519, 21120, 543, 476, 1015, 2798, 829, 1554, 1310, 602, 563, 5085, 288, 310, 18859, 618, 281, 1403, 596, 616, 1210, 713, 1362, 547, 11886, 707, 661, 30311, 10421, 267, 5225, 4063, 602, 972, 616, 21852, 547, 2743, 267, 543, 602, 621, 568, 10691, 519, 5539, 540, 519, 12200, 3056, 519, 5530, 12875, 547, 7618, 596, 827, 891, 7389, 269, 6969, 596, 4734, 585, 3131, 14243, 267, 5225, 581, 3222, 540, 1346, 4170, 543, 21852, 563, 10907, 27854, 667, 880, 517, 17965, 1107, 634, 16929, 723, 513, 4642, 2389, 16260, 3609, 593, 4081, 31081, 17965, 585, 782, 10467, 269, 2142, 5432, 609, 519, 4013, 590, 10157, 300, 4507, 593, 4081, 31081, 17965, 607, 13890, 538, 968, 22923, 8943, 540, 7126, 543, 13786, 4850, 892, 538, 519, 590, 10157, 300, 9906, 18361, 5291, 2517, 4178, 4732, 332, 9492, 12975, 11305, 25283, 270, 13231, 8518, 1504, 6983, 325, 332, 4841, 945, 29875, 5441, 3652, 593, 4081, 31081, 17965, 616, 1641, 547, 30095, 20507, 267, 1519, 5821, 540, 519, 7084, 267, 5821, 538, 519, 1576, 543, 5924, 20507, 5462, 676, 519, 7225, 26547, 8274, 1107, 799, 949, 1331, 14962, 531, 689, 519, 5441, 269, 4595, 971, 31081, 17965, 28746, 519, 1367, 267, 782, 1053, 543, 519, 8699, 540, 519, 5441, 267, 4507, 593, 4081, 31081, 17965, 786, 581, 14553, 24451, 563, 306, 655, 14373, 21480, 543, 22490, 7335, 454, 12218, 1282, 11354, 476, 1001, 277, 630, 11845, 570, 10621, 1070, 4985, 547, 519, 1656, 525, 267, 519, 769, 6390, 267, 543, 1230, 26810, 454, 3725, 28136, 12942, 5336, 14525, 267, 3203, 540, 519, 1656, 525, 267, 2271, 549, 269, 1299, 769, 6390, 3848, 563, 26422, 476, 276, 270, 1428, 27336, 2526, 538, 7799, 320, 269, 18734, 547, 595, 639, 1723, 269, 3600, 743, 574, 26494, 563, 12507, 476, 276, 270, 1626, 476, 273, 10975, 4975, 12875, 540, 595, 639, 1723, 454, 307, 826, 476, 276, 270, 1704, 476, 1015, 993, 1107, 476, 1321, 281, 1789, 533, 6230, 269, 27834, 6581, 577, 7699, 1362, 454, 28716, 547, 5842, 31883, 2344, 454, 289, 4361, 532, 585, 7552, 547, 476, 275, 22859, 1231, 454, 303, 332, 11657, 776, 13957, 630, 339, 550, 894, 994, 26607, 476, 276, 270, 1240, 476, 1015, 513, 6230, 269, 1107, 476, 1321, 533, 6230, 269, 590, 4932, 2562, 2752, 281, 4985, 547, 769, 6390, 15339, 1107, 7905, 29928, 454, 5719, 534, 267, 589, 9177, 540, 12942, 281, 769, 6390, 21126, 593, 9412, 630, 4504, 549, 543, 28331, 269, 476, 275, 994, 273, 281, 876, 10975, 12875, 540, 19923, 520, 549, 22859, 21590, 1107, 1627, 685, 523, 336, 334, 267, 15762, 25669, 16852, 16120, 267, 623, 26854, 623, 4157, 4673, 267, 570, 14781, 7557, 599, 454, 1320, 340, 476, 276, 270, 866, 476, 279, 600, 13488, 547, 25590, 3832, 549, 1107, 7956, 850, 17431, 543, 13186, 454, 10975, 13488, 547, 3057, 553, 543, 5651, 599, 1107, 338, 5306, 335, 753, 543, 6694, 6728, 454, 293, 686, 476, 276, 270, 736, 476, 1015, 513, 6230, 269, 547, 476, 1321, 533, 6230, 269, 590, 4932, 2562, 2752, 281, 20616, 3778, 1700, 7905, 7935, 1091, 5652, 454, 289, 5281, 267, 22186, 787, 333, 267, 968, 29638, 543, 519, 15348, 540, 631, 652, 714, 1690, 324, 281, 634, 1230, 1203, 540, 13244, 27262, 538, 595, 15120, 1723, 267, 18475, 2223, 17104, 1977, 8466, 5623, 476, 4281, 263, 272, 1070, 476, 1960, 279, 267, 476, 276, 268, 4510, 563, 21659, 1231, 267, 22956, 589, 269, 22358, 267, 5599, 267, 543, 10504, 281, 519, 1480, 543, 8733, 1942, 540, 7810, 8988, 5599, 538, 519, 1656, 525, 269, 2349, 334, 4040, 2023, 281, 18518, 2160, 4964, 267, 476, 1001, 272, 630, 2419, 9532, 570, 10621, 994, 24836, 889, 691, 267, 27239, 645, 267, 968, 2171, 3058, 543, 519, 14716, 540, 513, 13834, 10406, 540, 8534, 538, 7216, 20616, 18475, 2223, 1977, 4095, 22588, 569, 476, 2190, 263, 275, 1070, 476, 1220, 271, 267, 476, 276, 4391, 268, 8618, 454, 289, 4361, 532, 585, 519, 3162, 9503, 454, 25823, 476, 276, 270, 2641, 476, 279, 600, 13488, 547, 519, 3162, 9503, 454, 26422, 476, 276, 270, 2420, 476, 279, 600, 13488, 547, 29042, 9503, 454, 12507, 476, 276, 270, 2537, 476, 280, 513, 6230, 269, 547, 29869, 590, 4932, 2562, 2752, 281, 769, 6390, 10281, 13866, 923, 543, 654, 926, 9177, 1107, 7905, 29928, 454, 17484, 540, 20616, 1143, 543, 7073, 18475, 1765, 7905, 7935, 1091, 5652, 454, 310, 2431, 267, 17785, 517, 281, 4826, 7177, 9457, 12328, 540, 519, 5549, 320, 7276, 267, 476, 1220, 277, 630, 653, 570, 10621, 1916, 18250, 292, 9774, 267, 968, 763, 12793, 540, 623, 1731, 650, 716, 320, 2223, 623, 1731, 650, 716, 320, 281, 634, 654, 926, 7276, 538, 595, 15120, 1723, 267, 476, 1220, 276, 267, 6032, 269, 476, 13932, 268, 12739, 563, 290, 611, 6511, 267, 3057, 18066, 632, 3288, 269, 7087, 631, 652, 714, 657, 281, 634, 15348, 540, 17813, 543, 9177, 538, 595, 15120, 1723, 267, 18475, 267, 476, 4489, 280, 268, 1960, 272, 269, 20736, 5069, 281, 16099, 2160, 4964, 267, 476, 1220, 271, 267, 476, 272, 268, 2412, 563, 290, 2313, 2006, 267, 27068, 570, 269, 2871, 8457, 543, 519, 14956, 2287, 540, 519, 7414, 2622, 281, 589, 6820, 26954, 3778, 269, 1715, 3840, 281, 11062, 2160, 4964, 267, 476, 1001, 275, 454, 303, 332, 281, 8000, 6670, 13186, 454, 307, 826, 476, 276, 270, 2190, 476, 279, 513, 6230, 269, 547, 29869, 590, 4932, 2562, 2752, 281, 7557, 340, 20266, 32627, 543, 744, 961, 656, 599, 339, 14781, 1107, 7905, 29928, 454, 24292, 4793, 3234, 3415, 543, 21094, 1700, 7905, 7935, 1091, 5652, 454, 3682, 339, 7999, 267, 14639, 6261, 18824, 269, 769, 6390, 15339, 543, 14716, 693, 744, 961, 656, 599, 339, 14781, 267, 6032, 269, 570, 10621, 563, 16655, 6202, 267, 918, 2465, 569, 269, 968, 307, 24397, 267, 5113, 267, 543, 4886, 593, 519, 5549, 320, 20417, 2223, 22743, 16281, 630, 10844, 269, 272, 1070, 630, 21938, 476, 1001, 273, 2567, 476, 16960, 268, 14378, 563, 289, 532, 5069, 267, 634, 20570, 540, 7557, 340, 20266, 32627, 267, 6032, 269, 476, 278, 268, 1240, 454, 3891, 2033, 344, 267, 968, 289, 2158, 5443, 281, 9894, 23171, 623, 1663, 837, 18475, 286, 2223, 1715, 6243, 267, 4239, 269, 476, 2537, 267, 476, 1220, 277, 563, 289, 4361, 532, 585, 7557, 340, 20266, 32627, 454, 303, 332, 291, 17805, 776, 13957, 630, 307, 550, 894, 994, 26607, 476, 276, 270, 1839, 993, 22084, 547, 744, 961, 656, 599, 339, 14781, 454, 10817, 3660, 4663, 540, 7557, 340, 20266, 32627, 454, 301, 697, 538, 3397, 340, 553, 2836, 1304, 525, 454, 1320, 340, 476, 276, 270, 2918, 476, 276, 600, 8682, 2389, 712, 540, 7557, 340, 20266, 32627, 267, 10158, 3534, 20266, 32627, 267, 6129, 19835, 610, 16574, 334, 632, 3288, 595, 826, 9366, 454, 299, 4875, 538, 3397, 340, 553, 2836, 1304, 525, 543, 5721, 1394, 547, 595, 639, 1723, 454, 293, 686, 476, 276, 270, 2767, 476, 1015, 513, 6230, 269, 547, 29869, 2443, 15937, 1957, 3584, 3803, 1242, 543, 9516, 454, 18893, 1308, 1895, 12129, 538, 10543, 454, 25823, 476, 276, 270, 2764, 600, 291, 558, 4382, 8184, 547, 7799, 320, 454, 10975, 4975, 12875, 540, 20616, 7799, 320, 454, 16838, 532, 22947, 547, 7330, 454, 12507, 476, 276, 270, 1789, 15863, 1557, 1813, 593, 4563, 32317, 676, 28813, 454, 1320, 340, 476, 277, 270, 1789, 15937, 14430, 1813, 593, 4563, 32317, 676, 28813, 630, 17218, 10467, 786, 711, 581, 7608, 264, 0, 21837, 631, 269, 25260, 454, 21837, 631, 269, 25260, 630, 277, 5412, 267, 476, 4489, 271, 910, 476, 1240, 5988, 267, 476, 3192, 272, 264, 729, 606, 1977, 14787, 540, 519, 3162, 269, 1261, 729, 4535, 538, 4864, 320, 267, 11908, 267, 543, 21783, 689, 2506, 800, 2160, 538, 476, 4350, 273, 269, 2755, 538, 10927, 1153, 693, 23171, 2160, 646, 5249, 609, 21853, 5341, 12844, 24274, 29928, 269, 1261, 12236, 1010, 1912, 6185, 269, 538, 476, 3707, 271, 543, 3370, 12493, 543, 3571, 9549, 538, 519, 1530, 20896, 19822, 538, 476, 3707, 273, 269, 1306, 7548, 540, 1686, 693, 23171, 630, 3707, 273, 268, 3422, 272, 264, 543, 18628, 630, 3422, 272, 268, 10170, 264, 646, 9859, 3875, 4744, 31277, 267, 543, 6039, 593, 3875, 21107, 543, 3318, 12545, 269, 1261, 729, 513, 22082, 538, 13384, 1681, 519, 1686, 540, 2021, 563, 22025, 614, 4465, 519, 17240, 12688, 15356, 538, 3778, 585, 634, 6764, 2056, 19822, 267, 476, 7277, 279, 268, 5908, 272, 630, 3192, 277, 1070, 606, 538, 3829, 2239, 543, 2079, 540, 519, 3123, 540, 519, 6406, 2782, 269, 3571, 2079, 540, 519, 6988, 540, 519, 6214, 540, 519, 476, 6977, 271, 338, 3788, 513, 3044, 2272, 267, 538, 1840, 547, 519, 2272, 676, 30129, 19607, 1231, 269, 25260, 781, 1292, 9740, 729, 547, 2322, 519, 1686, 540, 519, 3162, 538, 3084, 5133, 267, 799, 646, 1705, 676, 7947, 532, 519, 4655, 3631, 540, 8176, 2142, 731, 543, 10771, 519, 3178, 540, 13618, 593, 1977, 2418, 269, 1261, 729, 513, 15061, 267, 7713, 519, 2956, 540, 10229, 538, 5935, 519, 1977, 1915, 538, 4658, 540, 1773, 4868, 630, 4198, 275, 1040, 25260, 729, 711, 3742, 538, 6214, 5128, 563, 268, 3571, 1034, 1271, 1433, 267, 8737, 543, 12995, 676, 5213, 3171, 327, 1066, 321, 12329, 267, 729, 634, 6764, 2056, 19822, 267, 476, 7277, 279, 268, 5908, 272, 630, 3192, 277, 5148, 17240, 12688, 16101, 269, 21626, 543, 1257, 3406, 454, 268, 12493, 543, 3571, 9549, 538, 519, 1530, 20896, 19822, 476, 3707, 273, 282, 1065, 11781, 7160, 609, 4367, 676, 12253, 654, 269, 15867, 30835, 267, 17039, 3557, 772, 269, 4964, 267, 476, 1960, 276, 269, 476, 2412, 279, 6032, 563, 268, 4658, 540, 1773, 4868, 281, 9483, 2806, 1495, 766, 543, 519, 1977, 10886, 630, 4198, 275, 264, 21626, 543, 1257, 3406, 454, 268, 634, 3162, 543, 519, 8791, 531, 18366, 630, 3422, 279, 994, 268, 834, 13563, 6468, 543, 519, 1977, 10886, 257, 538, 1977, 10886, 543, 9177, 538, 513, 21744, 2622, 281, 2368, 3828, 12351, 10601, 21126, 630, 16675, 6229, 4964, 267, 476, 3192, 280, 2567, 476, 20385, 268, 18597, 563, 268, 3778, 543, 1977, 5980, 281, 10749, 540, 6424, 631, 269, 25260, 269, 1196, 269, 676, 5213, 661, 269, 3171, 327, 1066, 321, 12329, 267, 10228, 772, 269, 4964, 267, 476, 3192, 274, 269, 476, 32455, 6032, 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 ]
[ 9285, 318, 6919, 454, 338, 9285, 318, 6919, 815, 7510, 272, 31699, 5334, 27542, 4433, 27542, 994, 338, 9285, 318, 6919, 454, 6853, 272, 31428, 6958, 1009, 318, 663, 9078, 770, 4433, 27542, 994, 6853, 272, 31428, 6958, 1009, 318, 663, 9078, 770, 5334, 9285, 4433, 27542, 994, 0, 12163, 8794, 4889, 894, 14249, 649, 666, 1683, 835, 3562, 14633, 1883, 17032, 544, 1952, 902, 602, 616, 5488, 982, 513, 3126, 454, 1993, 952, 268, 12828, 6898, 269, 630, 18933, 3558, 268, 13750, 906, 994, 20701, 454, 3698, 6467, 318, 272, 263, 30348, 2187, 825, 2220, 527, 7815, 815, 13634, 1038, 476, 272, 281, 834, 13202, 1701, 2676, 1038, 476, 273, 281, 834, 15037, 1701, 2676, 1038, 476, 274, 281, 834, 11321, 1701, 2676, 1038, 476, 275, 281, 834, 14257, 1701, 2676, 1038, 476, 276, 281, 834, 9802, 20350, 1038, 476, 277, 281, 834, 21801, 1701, 2676, 1038, 476, 278, 281, 834, 19878, 1701, 2676, 1038, 476, 279, 281, 834, 13971, 1701, 2676, 1038, 476, 280, 281, 834, 20225, 1701, 2676, 1038, 476, 1015, 281, 834, 12914, 1701, 2676, 1038, 476, 1556, 281, 834, 22261, 1701, 2676, 1038, 476, 1321, 281, 834, 13356, 4799, 825, 7684, 454, 825, 1820, 263, 1873, 527, 7815, 10947, 263, 30348, 267, 834, 1103, 20777, 13600, 8442, 2020, 1873, 3558, 318, 272, 263, 272, 994, 12163, 8794, 519, 1482, 2511, 540, 11837, 649, 666, 946, 6467, 15581, 906, 585, 3989, 3252, 607, 1134, 563, 263, 2690, 519, 19160, 540, 942, 1152, 476, 276, 3275, 616, 538, 713, 6467, 15581, 618, 3097, 20701, 454, 3698, 835, 10031, 825, 2132, 834, 13202, 4799, 3698, 1079, 10031, 825, 2132, 834, 15037, 4799, 3698, 1614, 10031, 825, 2132, 834, 11321, 4799, 3698, 2185, 10031, 825, 2132, 834, 14257, 4799, 3698, 2947, 10031, 825, 2132, 834, 9802, 5016, 454, 3698, 6467, 318, 273, 263, 30348, 2187, 825, 2220, 527, 7815, 815, 13634, 1038, 476, 272, 281, 835, 2676, 1038, 476, 273, 281, 1079, 2676, 1038, 476, 274, 281, 1614, 263, 13211, 1038, 476, 275, 281, 2185, 2676, 1038, 476, 276, 281, 2947, 2676, 825, 7684, 454, 825, 30775, 815, 2220, 527, 7815, 10947, 263, 30348, 267, 25754, 281, 834, 1103, 20777, 3923, 5602, 825, 1820, 6600, 15635, 31156, 1873, 3558, 318, 273, 263, 273, 2020, 12163, 6748, 519, 1482, 1505, 649, 666, 798, 519, 1482, 609, 1362, 268, 15953, 338, 547, 1711, 6467, 15581, 906, 454, 20701, 5035, 3933, 2195, 24998, 2187, 825, 1219, 6467, 318, 274, 4311, 267, 30348, 2187, 1038, 1505, 12173, 815, 1412, 24629, 318, 262, 1341, 1193, 263, 30348, 994, 1038, 1948, 1205, 519, 1505, 689, 1412, 1345, 8339, 4347, 5435, 621, 547, 25754, 563, 1038, 1505, 815, 1205, 3430, 337, 4311, 267, 1505, 12173, 267, 25754, 281, 834, 1103, 20777, 3923, 23528, 1038, 1948, 1289, 519, 1505, 607, 649, 2132, 621, 454, 1038, 2132, 1505, 10797, 825, 1219, 3923, 318, 272, 4311, 2187, 1038, 2132, 834, 13202, 3010, 825, 1219, 3923, 318, 273, 4311, 2187, 1038, 2132, 834, 15037, 3010, 825, 1219, 3923, 318, 274, 4311, 2187, 1038, 2132, 834, 11321, 3010, 825, 1219, 3923, 318, 275, 4311, 2187, 1038, 2132, 834, 14257, 3010, 320, 815, 3933, 2195, 10797, 2745, 5416, 269, 1873, 3558, 318, 274, 263, 274, 11723, 0, 258, 1826, 3890, 3274, 7024, 519, 1826, 540, 1843, 1775, 4318, 9497, 4565, 1695, 1025, 1695, 8442, 7024, 607, 2999, 5035, 1412, 1598, 262, 11417, 258, 568, 27349, 3890, 11974, 952, 606, 1843, 568, 513, 1978, 1826, 1775, 4318, 568, 27349, 2891, 4565, 1695, 1025, 1695, 2580, 1193, 264, 7024, 6936, 454, 2745, 2891, 7078, 476, 272, 281, 7392, 5288, 568, 27349, 5602, 2745, 263, 6943, 2891, 7922, 1695, 2349, 1695, 27363, 2745, 263, 529, 27349, 2891, 4565, 1695, 2580, 1193, 264, 9239, 2745, 19629, 333, 7078, 476, 273, 281, 568, 27349, 8442, 258, 568, 27349, 3217, 883, 7156, 585, 769, 615, 13330, 454, 5035, 10960, 10031, 825, 1219, 3802, 4311, 2187, 1038, 1820, 2891, 296, 6415, 3001, 15419, 825, 1219, 3548, 4311, 2187, 1038, 1820, 2891, 296, 6415, 4189, 257, 9239, 5035, 13928, 263, 27154, 17107, 825, 1219, 536, 1251, 4311, 2187, 1038, 1820, 2891, 321, 1251, 536, 1251, 257, 9239, 5035, 9697, 263, 27154, 17107, 825, 1219, 803, 578, 4311, 2187, 1038, 1820, 2891, 1889, 578, 803, 578, 257, 9239, 27594, 815, 13928, 4590, 13906, 815, 9697, 10797, 604, 568, 27349, 6262, 520, 267, 13928, 2187, 825, 3032, 269, 1889, 578, 4590, 12828, 912, 825, 1820, 2891, 13906, 568, 711, 606, 3236, 540, 13928, 5602, 604, 568, 27349, 5560, 690, 267, 10960, 2187, 825, 2915, 12500, 1251, 4590, 12828, 912, 825, 1820, 2891, 27594, 568, 711, 606, 3236, 540, 10960, 5602, 258, 7392, 568, 1152, 2731, 1031, 585, 3181, 19982, 543, 11974, 454, 2745, 19629, 333, 7078, 476, 274, 281, 1946, 711, 547, 946, 1826, 5602, 2745, 2891, 6943, 6262, 520, 264, 815, 14307, 1826, 6262, 520, 4917, 2745, 2891, 6943, 5560, 690, 264, 815, 14307, 1826, 5560, 690, 4917, 2745, 2891, 6943, 263, 27154, 264, 815, 14307, 1826, 263, 27154, 11723, 604, 1826, 6262, 520, 264, 2652, 13928, 912, 825, 3032, 269, 1889, 578, 4590, 12828, 912, 825, 1820, 2891, 13906, 568, 711, 606, 3236, 540, 13928, 5602, 604, 1826, 5560, 690, 264, 2652, 10960, 912, 825, 2915, 12500, 1251, 4590, 12828, 912, 825, 1820, 2891, 27594, 568, 711, 606, 3236, 540, 10960, 15419, 258, 1306, 596, 666, 2995, 2094, 1826, 263, 27154, 264, 543, 1826, 5560, 690, 264, 798, 711, 2132, 519, 1482, 3948, 789, 1312, 3111, 1256, 454, 258, 1498, 649, 2811, 3843, 547, 1449, 2436, 610, 711, 789, 616, 519, 834, 338, 877, 1826, 257, 540, 1362, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 291, 773, 8210, 5287, 660, 23036, 267, 546, 817, 3541, 7435, 601, 5378, 7994, 513, 3209, 799, 7710, 519, 28877, 540, 1480, 2470, 269, 769, 5261, 7108, 532, 779, 7083, 540, 519, 4469, 625, 519, 28877, 540, 1480, 1557, 4305, 568, 547, 20272, 28877, 607, 1870, 4783, 3069, 693, 15657, 267, 607, 4359, 538, 1010, 1566, 639, 3172, 636, 5274, 11059, 269, 769, 10371, 3143, 2244, 1510, 513, 18459, 256, 5608, 7449, 14571, 538, 1583, 325, 3256, 729, 7608, 607, 519, 2067, 2603, 540, 519, 10371, 7247, 2470, 4667, 267, 693, 1101, 8289, 267, 547, 723, 27361, 811, 28877, 982, 1152, 519, 1426, 267, 799, 568, 2838, 585, 1010, 32351, 267, 13733, 1010, 3406, 543, 269, 3115, 11781, 539, 607, 1412, 294, 518, 731, 4425, 622, 781, 2067, 1686, 540, 8581, 3299, 12995, 267, 609, 606, 8176, 966, 718, 766, 344, 267, 4828, 593, 519, 4165, 18709, 540, 519, 9721, 5678, 630, 10082, 273, 1040, 10371, 899, 513, 2754, 540, 7980, 950, 513, 666, 12061, 1532, 718, 13733, 936, 741, 9843, 282, 543, 950, 649, 1185, 7316, 591, 1480, 14713, 568, 711, 2479, 3742, 267, 972, 519, 536, 690, 630, 1721, 519, 12743, 584, 5050, 543, 3594, 827, 1053, 32533, 288, 18917, 645, 2572, 1125, 6281, 1153, 14469, 4199, 585, 14451, 2296, 593, 7083, 540, 519, 4469, 625, 281, 4798, 267, 5260, 720, 2470, 28877, 540, 1480, 2470, 269, 7083, 540, 519, 4469, 625, 7083, 540, 519, 4469, 625, 1107, 9608, 3210, 1557, 269, 1973, 628, 1009, 344, 267, 1404, 6888, 26731, 883, 28877, 267, 476, 275, 269, 20212, 538, 1480, 2470, 2013, 1353, 6538, 10889, 14900, 2641, 3057, 476, 1220, 275, 769, 519, 476, 2735, 271, 338, 950, 590, 5417, 600, 729, 693, 519, 4463, 540, 1010, 28877, 267, 2968, 10169, 791, 520, 1304, 609, 721, 543, 1767, 267, 2387, 296, 319, 332, 13110, 540, 2220, 520, 1154, 13733, 269, 10371, 1452, 5830, 543, 15628, 22157, 547, 723, 606, 23904, 2070, 540, 1480, 2470, 269, 3751, 5206, 606, 1271, 1557, 593, 22819, 31109, 267, 519, 834, 516, 10964, 22445, 257, 945, 4718, 602, 1010, 454, 22209, 342, 584, 325, 3541, 10370, 20891, 910, 22910, 18218, 540, 3619, 9220, 2160, 7671, 31060, 454, 3725, 935, 4290, 532, 18972, 609, 7186, 998, 589, 20469, 15232, 281, 634, 5682, 10371, 1530, 534, 744, 262, 289, 31151, 781, 1557, 267, 968, 763, 7313, 564, 607, 2334, 7815, 924, 2223, 3769, 538, 634, 634, 9059, 24095, 3177, 676, 891, 15457, 520, 4926, 13733, 721, 1472, 519, 8608, 543, 2306, 968, 2421, 971, 20498, 6411, 540, 28877, 607, 519, 2098, 784, 26035, 540, 476, 9965, 272, 267, 950, 513, 8418, 591, 28520, 513, 678, 19563, 9267, 4777, 900, 3205, 3594, 1101, 3126, 17404, 1261, 5206, 1896, 4627, 1557, 268, 1636, 20137, 827, 873, 267, 1034, 540, 799, 723, 1044, 28933, 28673, 1282, 519, 968, 338, 2869, 3770, 5162, 892, 1107, 513, 1480, 3060, 16559, 998, 769, 1010, 2063, 1296, 267, 2713, 538, 10103, 609, 2470, 2968, 811, 543, 811, 12736, 8725, 26235, 5587, 1881, 538, 476, 4489, 275, 267, 1247, 3689, 7083, 540, 519, 31288, 1399, 267, 602, 519, 25719, 12031, 6351, 4704, 16643, 769, 5261, 7108, 532, 781, 7083, 540, 519, 4469, 625, 519, 28877, 540, 1480, 2470, 568, 3844, 547, 519, 1292, 6249, 1107, 519, 14334, 540, 812, 781, 2295, 269, 589, 1895, 1164, 2565, 1557, 7436, 14371, 5357, 291, 5058, 8072, 306, 28789, 5508, 5990, 18919, 22494, 1323, 4828, 2140, 540, 519, 1557, 568, 827, 3860, 28877, 543, 829, 951, 640, 538, 519, 2470, 540, 1480, 269, 7083, 540, 519, 4469, 625, 568, 11251, 538, 454, 13440, 867, 539, 1480, 30978, 938, 4070, 4730, 4080, 1893, 7385, 3902, 1426, 2333, 3354, 6575, 3044, 30479, 544, 3622, 1934, 2067, 4583, 2262, 4853, 2219, 7142, 3656, 23071, 6960, 865, 341, 2884, 18459, 8978, 4807, 10371, 20711, 956, 18483, 8524, 528, 1827, 832, 16290, 1557, 9363, 9696, 678, 3578, 524, 7032, 3860, 1603, 943, 1091, 6014, 3778, 689, 14062, 547, 3776, 7083, 630, 327, 269, 561, 269, 642, 6807, 1777, 1040, 700, 924, 268, 678, 776, 11872, 269, 1323, 1557, 538, 4168, 1914, 268, 522, 8421, 344, 269, 2390, 519, 1614, 2694, 540, 2441, 781, 1480, 2470, 2443, 7853, 267, 9997, 267, 543, 6891, 2443, 2421, 711, 538, 22191, 324, 267, 543, 609, 519, 10639, 540, 20211, 3559, 9476, 585, 28877, 6902, 274, 22530, 819, 827, 6117, 2476, 519, 13733, 799, 7017, 2390, 873, 269, 1946, 1775, 8678, 795, 8527, 322, 3594, 7083, 540, 519, 4469, 625, 729, 9141, 676, 834, 294, 13783, 781, 7156, 540, 1480, 9409, 267, 513, 1950, 3801, 547, 10250, 519, 12889, 540, 2486, 1394, 547, 519, 12889, 540, 1480, 2470, 1701, 769, 1010, 476, 2735, 273, 1557, 589, 25021, 27010, 267, 646, 7150, 3274, 834, 763, 6249, 540, 7083, 540, 519, 4469, 625, 519, 2470, 540, 13919, 282, 1934, 649, 786, 1445, 593, 10952, 2055, 269, 272, 269, 1772, 972, 513, 1318, 1547, 602, 28877, 1131, 581, 1434, 952, 2696, 5551, 621, 269, 2368, 616, 3366, 6662, 267, 538, 519, 2631, 602, 789, 798, 711, 4096, 593, 1480, 3206, 610, 4743, 269, 476, 1960, 279, 264, 11828, 2686, 8887, 13659, 538, 3848, 476, 272, 282, 713, 1557, 568, 538, 851, 1280, 519, 812, 945, 13733, 563, 20130, 1557, 593, 519, 9954, 568, 513, 9880, 540, 5576, 14525, 781, 5650, 538, 519, 476, 9692, 272, 9880, 269, 1691, 10371, 898, 568, 1152, 2067, 602, 865, 1390, 513, 6037, 1807, 607, 5576, 5586, 601, 1058, 1871, 10371, 799, 568, 7184, 12082, 538, 1480, 2470, 269, 2368, 540, 519, 602, 2085, 729, 513, 7848, 540, 21806, 543, 28877, 799, 10371, 1809, 538, 519, 8004, 781, 4064, 593, 272, 344, 7365, 609, 519, 7083, 540, 269, 1382, 4574, 15242, 19580, 476, 275, 269, 275, 269, 273, 2637, 665, 10537, 17194, 1765, 7468, 12941, 519, 645, 3757, 2583, 540, 519, 5274, 7731, 269, 10326, 1547, 547, 10143, 519, 11580, 543, 4971, 519, 7060, 540, 7186, 269, 1412, 763, 18803, 31066, 267, 1547, 28877, 568, 547, 581, 519, 1267, 267, 621, 849, 1590, 581, 2219, 856, 547, 519, 1439, 267, 543, 972, 1796, 1354, 596, 281, 585, 519, 28789, 707, 2696, 4927, 2482, 519, 4250, 540, 596, 543, 519, 23487, 540, 942, 2359, 2165, 4574, 530, 1170, 839, 577, 10762, 997, 515, 818, 18464, 267, 875, 547, 2328, 606, 7493, 585, 513, 1876, 1557, 31297, 18459, 540, 519, 13733, 28877, 540, 1480, 2470, 1557, 267, 3026, 4157, 1844, 1156, 630, 295, 525, 572, 264, 875, 547, 2328, 513, 769, 1840, 267, 594, 6836, 547, 2721, 3007, 547, 519, 2470, 540, 1799, 534, 550, 5126, 543, 11419, 1547, 3571, 7326, 543, 5813, 568, 1759, 593, 519, 20185, 540, 519, 12755, 540, 1480, 2470, 269, 476, 274, 521, 579, 678, 533, 513, 521, 521, 1775, 562, 575, 512, 554, 552, 1775, 678, 1378, 533, 552, 678, 521, 552, 524, 579, 512, 522, 678, 521, 1775, 562, 524, 678, 579, 552, 561, 512, 586, 543, 642, 3188, 766, 269, 1547, 769, 1323, 1408, 320, 808, 25377, 781, 1557, 593, 282, 257, 763, 3090, 540, 519, 524, 1775, 678, 524, 561, 552, 834, 1352, 2829, 281, 834, 1103, 454, 295, 8432, 8862, 761, 902, 2593, 910, 9612, 1267, 9732, 3333, 710, 1354, 519, 4064, 540, 2367, 26872, 454, 23218, 326, 342, 10774, 6979, 14428, 3342, 4451, 6361, 25993, 5991, 1155, 268, 709, 339, 1578, 3146, 341, 11040, 268, 1315, 534, 2711, 2275, 745, 601, 1399, 2275, 3234, 11659, 7146, 3491, 15582, 12845, 12431, 20156, 6823, 318, 5002, 279, 5780, 6860, 268, 272, 1547, 1260, 270, 817, 564, 23218, 326, 342, 11721, 569, 268, 1399, 619, 28621, 728, 3562, 268, 1399, 532, 268, 24207, 2389, 709, 339, 1922, 15533, 268, 5400, 277, 21497, 279, 5379, 27970, 476, 271, 269, 276, 4179, 2517, 342, 3881, 321, 843, 31892, 2940, 278, 2593, 270, 817, 564, 23218, 326, 342, 15828, 867, 6361, 7308, 8996, 268, 5400, 277, 13136, 279, 2641, 27970, 1547, 476, 1015, 281, 834, 763, 1786, 3150, 2390, 1200, 267, 899, 513, 10800, 538, 4873, 14208, 1235, 521, 5661, 543, 13733, 269, 10371, 901, 568, 519, 18916, 2067, 547, 3057, 8725, 865, 1279, 607, 646, 5205, 1010, 1378, 26756, 269, 25613, 708, 4828, 522, 286, 328, 11146, 630, 2862, 476, 3607, 274, 2567, 678, 639, 328, 29503, 3154, 1723, 793, 324, 1557, 935, 4290, 328, 2218, 2990, 267, 7487, 1148, 607, 606, 1898, 12106, 540, 1480, 14365, 712, 267, 855, 607, 10371, 769, 3257, 865, 267, 621, 814, 8959, 547, 2263, 519, 3810, 1514, 1242, 543, 1914, 762, 2470, 540, 10371, 31167, 572, 3768, 476, 747, 729, 4166, 4553, 676, 28553, 781, 1101, 6905, 1557, 593, 5339, 3069, 267, 21634, 1460, 918, 337, 1638, 31439, 7083, 18741, 3405, 333, 1442, 781, 2709, 547, 13173, 1864, 1394, 547, 4828, 7726, 5565, 7083, 540, 519, 4469, 625, 10741, 609, 519, 4367, 540, 513, 1507, 1895, 540, 7083, 540, 519, 4469, 625, 2982, 835, 602, 18495, 1590, 3442, 547, 3247, 28877, 610, 3068, 1547, 543, 3506, 616, 2556, 547, 1832, 519, 18632, 2427, 540, 1480, 2470, 538, 1899, 269, 3674, 519, 10182, 646, 3947, 538, 634, 769, 615, 6002, 519, 1482, 607, 538, 7083, 540, 519, 4469, 625, 7790, 519, 1296, 476, 3707, 271, 268, 3707, 276, 3361, 513, 3978, 1689, 538, 1010, 6644, 540, 1480, 2470, 281, 741, 1378, 17916, 17351, 1145, 267, 606, 2856, 799, 646, 6941, 538, 1010, 1557, 674, 762, 630, 3422, 273, 264, 607, 5205, 281, 898, 8604, 547, 803, 602, 812, 781, 4390, 585, 26846, 267, 1010, 17916, 28877, 543, 454, 291, 773, 9240, 12728, 385, 372, 324, 3768, 11634, 12728, 382, 370, 928, 966, 1408, 325, 5306, 606, 717, 525, 7770, 5287, 3541, 715, 4405, 737, 2335, 812, 581, 342, 8974, 333, 267, 546, 2335, 530, 1221, 518, 796, 572, 1066, 521, 3073, 331, 4923, 267, 795, 320, 2357, 656, 342, 1953, 7714, 331, 4923, 772, 16936, 836, 5378, 1557, 14592, 585, 524, 1087, 901, 1957, 3947, 606, 7650, 540, 930, 3344, 540, 7083, 540, 519, 4469, 625, 799, 616, 1271, 585, 594, 993, 2469, 547, 1445, 593, 3344, 540, 519, 2070, 540, 1480, 2470, 607, 11130, 676, 7338, 20122, 15816, 4014, 646, 21314, 547, 3180, 593, 547, 3540, 5314, 543, 11180, 3741, 267, 646, 1932, 814, 2067, 28877, 3330, 1864, 269, 1547, 11660, 4828, 267, 476, 276, 9664, 269, 10362, 1644, 5931, 3594, 476, 273, 269, 7325, 328, 476, 1001, 273, 670, 5060, 2917, 630, 326, 1508, 607, 513, 7110, 693, 519, 1439, 540, 3487, 594, 13776, 593, 519, 2470, 540, 519, 3604, 10371, 594, 1185, 5497, 4946, 547, 519, 1459, 12531, 606, 1557, 593, 519, 10371, 645, 27688, 4752, 3081, 602, 519, 5996, 30055, 540, 519, 2634, 538, 513, 1480, 535, 385, 497, 339, 639, 693, 519, 1439, 540, 630, 320, 9919, 24650, 264, 5402, 6117, 2476, 519, 13733, 799, 12735, 4240, 1200, 10867, 282, 543, 8834, 674, 761, 345, 749, 11058, 538, 694, 514, 655, 476, 2735, 278, 476, 619, 577, 1329, 523, 523, 4828, 2289, 773, 2494, 543, 7186, 282, 610, 267, 8447, 17323, 607, 3525, 1881, 676, 5274, 2831, 609, 11389, 2466, 1154, 7542, 6290, 543, 27314, 28877, 585, 5176, 513, 2540, 267, 9001, 538, 713, 5859, 540, 543, 2015, 267, 543, 1174, 1927, 267, 602, 519, 1688, 540, 519, 7083, 554, 987, 2944, 713, 269, 7790, 8586, 284, 26020, 268, 22967, 268, 23981, 2228, 1557, 16643, 1557, 7282, 1480, 1620, 1433, 476, 273, 3184, 476, 279, 3594, 827, 3075, 454, 516, 14142, 1957, 1931, 1557, 593, 4543, 4057, 1004, 6780, 948, 20131, 7350, 2328, 1557, 7005, 1893, 1557, 13513, 18459, 540, 519, 13733, 7130, 14216, 700, 747, 330, 7238, 333, 580, 568, 339, 32489, 20148, 269, 667, 625, 518, 715, 15425, 581, 22772, 564, 521, 747, 538, 661, 7416, 1258, 20044, 527, 12818, 548, 269, 667, 625, 518, 715, 15425, 568, 339, 32489, 918, 31581, 1756, 13153, 12411, 577, 1221, 2940, 476, 1015, 4149, 335, 1408, 518, 5174, 657, 572, 538, 654, 337, 987, 540, 519, 700, 747, 729, 737, 739, 564, 5884, 586, 600, 21036, 586, 345, 325, 678, 10219, 538, 3541, 2613, 545, 615, 2426, 1164, 1153, 1557, 1603, 2497, 18459, 540, 519, 13733, 28877, 540, 1480, 2470, 1557, 7671, 31060, 993, 6301, 1773, 879, 993, 678, 1470, 5098, 29527, 16515, 1407, 517, 267, 1744, 10762, 525, 12064, 593, 519, 3502, 1924, 11822, 4643, 540, 5274, 7186, 267, 1547, 12292, 607, 4469, 625, 568, 1500, 547, 581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2304, 762, 1186, 606, 762, 1186, 267, 630, 299, 4883, 30906, 267, 476, 11260, 277, 994, 27670, 281, 26066, 2127, 538, 8832, 3162, 29958, 320, 543, 1647, 3013, 269, 634, 3165, 666, 581, 1336, 538, 4195, 543, 15741, 880, 1216, 563, 26239, 11618, 281, 1323, 629, 553, 26687, 639, 267, 1323, 762, 1186, 575, 1258, 990, 4512, 267, 1323, 762, 1186, 1899, 9850, 267, 1323, 762, 1186, 1147, 514, 600, 18424, 267, 1323, 762, 1186, 15067, 5268, 11209, 16443, 267, 29154, 4345, 606, 762, 1186, 563, 12218, 281, 2920, 514, 641, 6670, 326, 4512, 630, 2001, 1922, 514, 2740, 24991, 264, 11352, 281, 7731, 281, 1323, 762, 3671, 2801, 267, 1016, 26967, 281, 1323, 322, 626, 27444, 324, 454, 5575, 3864, 1104, 281, 5125, 267, 476, 4350, 279, 267, 676, 13985, 10740, 31297, 563, 20373, 281, 6423, 5961, 563, 22512, 281, 7454, 6854, 538, 513, 2249, 7382, 269, 589, 22485, 1216, 24038, 267, 609, 513, 22501, 3037, 267, 543, 513, 2603, 540, 1863, 10977, 2230, 24867, 3471, 1125, 811, 982, 476, 6344, 4699, 1040, 769, 15195, 519, 3165, 616, 11630, 547, 3676, 267, 1655, 6854, 538, 15741, 27688, 1216, 563, 307, 17687, 281, 476, 2190, 268, 2764, 11019, 290, 454, 293, 29623, 281, 10671, 2231, 1426, 693, 519, 2627, 269, 24538, 338, 18154, 4459, 1115, 256, 1070, 855, 1166, 820, 1426, 568, 849, 7608, 563, 23917, 281, 5455, 547, 476, 1789, 4699, 563, 17954, 5338, 281, 2052, 581, 26870, 693, 476, 1428, 4699, 3259, 269, 634, 1655, 2164, 616, 12913, 538, 7286, 263, 14386, 13688, 269, 2311, 4332, 519, 26650, 616, 2907, 476, 274, 268, 275, 4699, 1279, 267, 543, 666, 5612, 581, 10480, 2661, 610, 1166, 820, 1426, 563, 29189, 783, 3897, 6973, 1143, 281, 631, 2297, 609, 513, 16891, 641, 18754, 563, 303, 27348, 8100, 281, 13828, 5961, 661, 269, 715, 9476, 454, 27066, 281, 289, 320, 839, 577, 267, 670, 269, 589, 1421, 681, 773, 25632, 267, 681, 15301, 2735, 273, 2567, 13985, 926, 523, 25304, 594, 269, 631, 31867, 7638, 25419, 267, 9253, 548, 267, 5125, 15301, 28781, 593, 519, 3095, 547, 4444, 713, 1433, 994, 5472, 2592, 267, 1344, 267, 1257, 267, 543, 824, 1344, 270, 19477, 538, 713, 3135, 9736, 13985, 1177, 5454, 3896, 607, 4330, 538, 519, 7137, 928, 15007, 269, 0, 10498, 1862, 711, 3025, 814, 267, 855, 1082, 540, 721, 267, 1519, 938, 1053, 267, 1810, 1405, 946, 519, 1390, 4359, 3406, 2934, 5616, 3091, 269, 2913, 781, 1689, 602, 2336, 8196, 891, 2238, 607, 10467, 585, 707, 1053, 630, 663, 5924, 2119, 873, 3054, 14386, 256, 1358, 1331, 8846, 267, 1565, 630, 27146, 3320, 3381, 6402, 1070, 543, 606, 1412, 817, 9892, 262, 5057, 585, 12477, 269, 1411, 616, 1863, 547, 5269, 513, 25767, 543, 12189, 607, 5551, 267, 855, 5225, 1832, 519, 5491, 4063, 538, 519, 3723, 518, 563, 17301, 2105, 547, 979, 1927, 538, 713, 5311, 994, 268, 24953, 5346, 11314, 910, 10812, 519, 834, 296, 6415, 28214, 12223, 257, 7735, 563, 268, 11628, 9612, 11314, 910, 6258, 3406, 12427, 543, 5616, 781, 11628, 9612, 563, 268, 9612, 8606, 1562, 11314, 910, 2422, 519, 1082, 12086, 547, 7522, 2164, 563, 268, 5741, 281, 24951, 21126, 910, 589, 476, 274, 268, 276, 1554, 4161, 1788, 585, 1164, 1153, 1053, 269, 2052, 581, 9168, 585, 7820, 9344, 269, 6333, 4657, 519, 1557, 547, 513, 6215, 1938, 6881, 543, 5924, 1818, 930, 5079, 585, 1053, 267, 971, 607, 519, 2680, 610, 2477, 547, 581, 21503, 563, 268, 5616, 9612, 11242, 910, 2353, 540, 519, 1657, 538, 835, 2703, 563, 8923, 2671, 5955, 538, 519, 8292, 3296, 1310, 596, 2119, 891, 2238, 609, 1053, 269, 8414, 2500, 10478, 256, 0, 347, 26397, 1297, 1475, 4785, 2568, 275, 25953, 272, 589, 2008, 347, 32101, 1297, 1475, 4785, 476, 6021, 270, 22550, 267, 8660, 273, 2008, 347, 26397, 4266, 1475, 14257, 476, 275, 267, 476, 1220, 271, 2008, 26180, 4979, 4266, 1475, 11321, 476, 1839, 267, 476, 1960, 280, 2008, 19064, 1874, 640, 4266, 1475, 11321, 476, 1839, 267, 476, 1960, 280, 2008, 347, 26397, 1297, 1475, 6021, 273, 4037, 279, 10844, 267, 476, 22550, 8660, 273, 267, 2475, 476, 2568, 275, 25953, 272, 589, 267, 2475, 476, 2568, 275, 25953, 272, 288, 267, 2475, 5025, 268, 2568, 275, 25953, 272, 267, 2475, 2568, 275, 25953, 272, 589, 267, 2475, 2568, 275, 25953, 272, 288, 2008, 347, 1103, 1203, 832, 1475, 297, 24944, 18332, 15966, 23042, 2008, 347, 24314, 25849, 2465, 1475, 300, 764, 23042, 282, 9478, 18332, 2008, 347, 2750, 1636, 27375, 1475, 18693, 289, 18256, 267, 7736, 9616, 267, 4676, 10048, 2008, 347, 15031, 550, 13022, 725, 630, 1556, 1070, 4676, 22235, 676, 630, 6924, 1070, 4147, 5874, 630, 1240, 1070, 13751, 15638, 630, 275, 10245, 347, 2750, 4156, 25103, 281, 2475, 8976, 302, 267, 2475, 8976, 302, 12143, 267, 25385, 659, 523, 564, 2008, 23530, 2281, 543, 25675, 630, 11901, 264, 8440, 267, 723, 7960, 689, 4439, 5652, 28537, 2281, 547, 1769, 2597, 267, 6094, 267, 3810, 2500, 12696, 540, 5201, 689, 7943, 269, 6684, 267, 1769, 32749, 1019, 3941, 630, 29612, 781, 264, 723, 1831, 1769, 2597, 267, 1507, 543, 3608, 3755, 540, 5201, 547, 3132, 1769, 563, 1607, 8798, 10905, 25675, 8440, 543, 30788, 3812, 1769, 267, 971, 602, 519, 1769, 568, 7471, 883, 519, 9703, 540, 519, 30788, 6721, 25675, 2326, 269, 901, 5610, 5161, 540, 9475, 538, 519, 3167, 6721, 25675, 2326, 799, 7520, 4159, 540, 519, 30788, 3812, 1769, 269, 901, 1769, 949, 581, 3812, 676, 5122, 267, 610, 3114, 6547, 2147, 547, 1769, 32749, 1019, 3941, 267, 1528, 1503, 29061, 1417, 2326, 267, 513, 8485, 2803, 1417, 6219, 267, 2447, 559, 29061, 1417, 2029, 267, 29835, 540, 16931, 3154, 538, 19440, 8654, 267, 543, 24638, 8654, 563, 1103, 1991, 1148, 3457, 9475, 941, 3177, 538, 3859, 2281, 538, 1931, 547, 2333, 519, 2504, 540, 5201, 267, 676, 2810, 2627, 1858, 1813, 547, 9475, 267, 610, 676, 8756, 532, 1585, 25675, 2326, 689, 1585, 6106, 883, 11105, 6106, 547, 3132, 513, 811, 3608, 3859, 1591, 269, 8074, 585, 1383, 772, 2529, 269, 4793, 269, 3143, 269, 476, 275, 267, 278, 4817, 267, 4335, 543, 476, 276, 267, 5379, 279, 267, 280, 6434, 563, 12234, 267, 9475, 723, 1044, 5116, 538, 14346, 2326, 547, 1450, 1554, 2000, 18017, 998, 519, 2281, 267, 585, 946, 540, 519, 2067, 1769, 3330, 5656, 610, 6517, 607, 538, 772, 2529, 269, 1273, 269, 3143, 269, 476, 276, 267, 22724, 267, 9692, 563, 9827, 621, 568, 1634, 547, 9192, 25675, 2326, 267, 9075, 543, 5907, 11387, 547, 3132, 4159, 3457, 269, 8074, 585, 1383, 772, 2529, 269, 4793, 269, 3143, 269, 476, 275, 267, 24879, 267, 6812, 274, 267, 476, 275, 267, 4037, 280, 267, 278, 3374, 543, 476, 276, 267, 276, 2537, 267, 6507, 277, 563, 763, 8798, 568, 3812, 676, 1519, 513, 8559, 267, 610, 9475, 267, 2047, 538, 519, 25675, 1570, 585, 20387, 513, 1769, 269, 769, 513, 1101, 20032, 1769, 689, 513, 1448, 2707, 267, 971, 607, 513, 1769, 32749, 26534, 267, 568, 4847, 547, 1780, 998, 519, 9475, 689, 519, 4158, 2427, 540, 519, 25675, 267, 610, 14346, 8470, 267, 799, 949, 17663, 513, 2582, 14346, 1591, 610, 513, 1297, 540, 2281, 267, 547, 3132, 513, 4159, 593, 519, 1769, 8391, 2427, 540, 519, 14346, 8470, 267, 610, 538, 513, 2034, 4244, 20032, 1769, 32749, 1019, 3941, 610, 930, 824, 4159, 1797, 616, 5116, 2047, 883, 713, 8559, 610, 9475, 547, 1788, 856, 593, 519, 4395, 3068, 540, 519, 14346, 8470, 269, 634, 14346, 1570, 568, 711, 28148, 4299, 676, 1022, 20224, 5196, 519, 14346, 1570, 543, 519, 9475, 798, 711, 1267, 538, 513, 1713, 2530, 540, 1379, 3977, 563, 1607, 1374, 7472, 513, 1587, 602, 568, 2539, 538, 1942, 982, 952, 519, 8654, 729, 26437, 3544, 519, 14346, 2281, 269, 7754, 1564, 3812, 538, 13076, 547, 713, 8798, 616, 15409, 543, 666, 581, 8465, 269, 1635, 9256, 519, 14346, 2281, 543, 519, 4159, 267, 519, 2898, 1062, 3790, 616, 4389, 538, 6476, 609, 513, 14346, 1591, 267, 609, 2348, 513, 5094, 4159, 1062, 269, 634, 2450, 267, 2597, 267, 543, 13258, 616, 4389, 267, 1247, 519, 2823, 1464, 267, 4398, 543, 10727, 616, 2799, 563, 8794, 519, 14346, 8470, 607, 519, 1769, 5885, 2497, 6087, 519, 4559, 547, 581, 20177, 543, 11741, 269, 6270, 20177, 4559, 616, 811, 6325, 543, 666, 581, 1500, 11259, 547, 32657, 777, 610, 642, 663, 16117, 269, 634, 1808, 946, 540, 519, 14346, 1570, 267, 7471, 609, 519, 4159, 267, 786, 849, 2569, 17403, 1317, 519, 31432, 730, 8440, 616, 3362, 4857, 543, 798, 711, 2408, 547, 581, 607, 14909, 585, 824, 3096, 563, 2005, 1058, 581, 7074, 602, 8380, 513, 8559, 538, 519, 1591, 3335, 1281, 711, 10413, 519, 2281, 267, 4849, 602, 519, 1858, 3144, 909, 676, 519, 1591, 666, 1100, 3476, 3132, 5201, 689, 1769, 1648, 563, 5278, 14346, 2326, 991, 547, 723, 519, 9475, 5116, 538, 2281, 538, 513, 2027, 1184, 267, 585, 3236, 267, 993, 6973, 748, 2281, 1058, 711, 723, 513, 8559, 5309, 3481, 689, 519, 4395, 547, 519, 1394, 267, 2864, 267, 621, 568, 1732, 547, 1747, 519, 8559, 689, 519, 1394, 547, 519, 4395, 547, 2061, 2110, 532, 856, 519, 1570, 563, 1607, 1374, 11126, 513, 1507, 2179, 540, 9475, 547, 3132, 513, 10626, 8654, 1599, 269, 670, 3421, 616, 7471, 883, 519, 14346, 2326, 865, 607, 547, 711, 28148, 1198, 519, 5106, 540, 519, 1769, 547, 5122, 1648, 7503, 1184, 540, 519, 14346, 2326, 563, 32292, 1564, 2687, 547, 713, 8798, 949, 581, 15181, 676, 14334, 543, 5163, 7020, 547, 2490, 593, 513, 3810, 7298, 10896, 585, 8654, 513, 2619, 693, 3781, 563, 21446, 8271, 519, 8470, 1223, 2490, 593, 606, 18342, 10896, 3976, 27283, 606, 1858, 585, 18342, 8613, 21697, 1510, 15603, 606, 11371, 31335, 917, 602, 646, 814, 1044, 9571, 269, 6270, 513, 3926, 1131, 581, 3730, 538, 6370, 3510, 610, 827, 6870, 7135, 269, 634, 1769, 1223, 8755, 593, 543, 1055, 267, 538, 513, 3009, 971, 602, 519, 4806, 1131, 2285, 1344, 3823, 519, 5163, 602, 729, 9571, 543, 950, 621, 729, 9571, 563, 32292, 1564, 2687, 547, 519, 8798, 666, 581, 1031, 607, 513, 1129, 18071, 1344, 610, 9963, 10256, 827, 4155, 2175, 269, 2290, 1383, 540, 971, 513, 1129, 568, 513, 1166, 4770, 15561, 540, 10896, 8279, 267, 1031, 585, 28068, 10256, 2476, 689, 513, 588, 6817, 6174, 269, 769, 713, 2013, 513, 1129, 666, 581, 29352, 547, 1463, 6808, 547, 519, 1318, 610, 2451, 827, 519, 588, 6817, 6174, 269, 1879, 519, 8470, 568, 5645, 593, 519, 15808, 676, 519, 15493, 6885, 540, 513, 1286, 267, 19355, 1769, 1131, 2226, 519, 6007, 693, 2407, 5279, 267, 4712, 547, 946, 1282, 513, 15059, 585, 28068, 6808, 2476, 689, 513, 7745, 1524, 1286, 563, 2304, 12327, 3951, 1129, 568, 1776, 3498, 540, 713, 1374, 267, 609, 519, 5022, 661, 29930, 16927, 6874, 267, 25250, 856, 609, 10896, 8279, 7471, 883, 513, 14346, 1570, 269, 6270, 513, 8470, 1223, 723, 513, 1797, 540, 15392, 519, 1769, 2157, 538, 513, 4087, 267, 952, 519, 19355, 8654, 2157, 616, 22485, 267, 10834, 513, 1761, 6595, 3871, 267, 519, 1129, 1131, 2490, 593, 267, 543, 8755, 269, 901, 1131, 9004, 519, 991, 585, 5122, 3515, 585, 519, 1129, 10380, 267, 3976, 1818, 519, 10380, 1454, 1447, 7199, 269, 6270, 4191, 1131, 581, 3226, 3730, 585, 10151, 5656, 971, 607, 512, 757, 1031, 585, 2235, 4926, 610, 585, 9513, 25584, 269, 901, 1129, 1223, 581, 2966, 547, 1683, 2901, 513, 3586, 26149, 267, 610, 1166, 4770, 26149, 563, 19187, 1399, 543, 2777, 8265, 1297, 532, 568, 19658, 676, 713, 1374, 267, 1317, 621, 568, 4749, 2556, 547, 1747, 971, 4191, 1141, 789, 616, 7298, 689, 519, 8265, 267, 543, 1419, 713, 4087, 949, 581, 513, 1279, 3845, 689, 1022, 5122, 17752, 269, 769, 519, 24817, 267, 9075, 1131, 581, 9901, 676, 519, 14346, 2281, 267, 693, 3781, 519, 2338, 1131, 581, 25139, 6029, 519, 2232, 540, 519, 3959, 269, 898, 1058, 581, 7074, 1934, 602, 1804, 14346, 2281, 616, 9053, 1317, 9475, 585, 8108, 519, 7291, 540, 5022, 610, 2338, 666, 581, 5309, 3481, 3592, 9170, 538, 519, 9703, 540, 513, 1591, 609, 856, 12517, 7133, 519, 5106, 540, 602, 1591, 563, 8448, 3156, 1331, 19788, 3007, 547, 3915, 4580, 4191, 269, 769, 713, 2013, 519, 1129, 3294, 1131, 581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 910, 1053, 786, 581, 8655, 547, 513, 11461, 2542, 1895, 610, 1433, 8630, 602, 786, 2743, 609, 15516, 269, 808, 1421, 519, 20700, 630, 12626, 5678, 264, 4116, 610, 519, 9501, 3633, 630, 22492, 4065, 264, 4116, 693, 513, 9138, 942, 543, 4266, 563, 268, 7089, 13669, 802, 454, 268, 1053, 786, 4585, 513, 2110, 3381, 593, 519, 3992, 585, 519, 1554, 543, 2170, 609, 519, 4116, 543, 15032, 827, 519, 3992, 563, 5715, 8817, 960, 942, 630, 553, 2106, 28942, 2187, 268, 1053, 786, 581, 11264, 741, 7084, 689, 519, 3992, 563, 268, 4841, 786, 849, 581, 2324, 593, 2979, 1983, 998, 5254, 4569, 267, 26577, 299, 610, 824, 8924, 610, 3756, 454, 268, 4569, 5623, 910, 1053, 786, 2347, 519, 2979, 2689, 543, 2022, 621, 593, 519, 9012, 19186, 636, 538, 5576, 334, 1108, 865, 1053, 666, 1294, 1142, 824, 781, 960, 563, 22102, 20492, 630, 27675, 28942, 2567, 1053, 786, 581, 8655, 883, 1507, 2516, 609, 15516, 269, 808, 547, 960, 593, 2979, 1983, 693, 513, 9138, 942, 543, 1554, 540, 519, 3018, 563, 32098, 910, 4317, 5525, 267, 3163, 267, 8447, 4065, 267, 21835, 528, 20620, 12892, 5525, 910, 3345, 1977, 5525, 19072, 2355, 21610, 894, 4892, 689, 30400, 454, 22139, 1977, 2090, 910, 649, 1445, 593, 519, 4525, 540, 4516, 267, 2136, 2276, 540, 3013, 543, 6792, 269, 1284, 849, 1865, 519, 1004, 267, 4529, 543, 2244, 563, 300, 2355, 910, 649, 1865, 29978, 543, 20173, 543, 2010, 540, 7851, 563, 30943, 4892, 689, 30400, 910, 1284, 786, 1451, 827, 519, 1686, 540, 891, 7111, 4892, 543, 1141, 789, 616, 2221, 563, 26903, 540, 3163, 543, 7177, 454, 268, 14674, 519, 2318, 543, 2942, 5222, 602, 519, 2966, 1158, 814, 593, 519, 2067, 1158, 607, 811, 543, 811, 22041, 2472, 543, 2533, 616, 2813, 543, 1031, 563, 21328, 281, 13804, 564, 1143, 267, 24542, 267, 543, 14333, 454, 268, 14424, 2326, 602, 616, 26423, 543, 1202, 22399, 540, 3002, 543, 5924, 5201, 269, 1280, 1383, 281, 19371, 29377, 3002, 1134, 267, 855, 568, 513, 4057, 18364, 540, 5201, 563, 268, 23227, 622, 875, 606, 3167, 1699, 666, 3132, 513, 6419, 3196, 269, 1280, 1383, 281, 20472, 606, 30402, 24599, 547, 4584, 909, 1957, 743, 2354, 563, 268, 4530, 543, 6218, 3435, 267, 6236, 5383, 543, 11393, 540, 519, 4702, 3070, 267, 543, 5968, 519, 2164, 3927, 563, 14549, 21210, 3590, 454, 268, 25506, 602, 519, 1560, 814, 8878, 1949, 1996, 17900, 267, 1519, 17229, 267, 19975, 267, 2960, 543, 1973, 563, 1805, 919, 540, 17460, 454, 268, 14674, 875, 519, 2829, 540, 2339, 1689, 607, 513, 1267, 540, 8022, 543, 9023, 563, 268, 10576, 1141, 1216, 25173, 593, 3047, 267, 1519, 5790, 267, 2666, 543, 2627, 1216, 267, 543, 4766, 875, 1216, 7575, 998, 519, 3047, 1062, 1210, 519, 3157, 540, 21381, 267, 28198, 543, 13247, 563, 268, 14674, 875, 519, 2409, 1004, 8415, 547, 3489, 543, 946, 1216, 538, 741, 5321, 543, 2950, 666, 1860, 1216, 3761, 543, 2298, 269, 0, 10190, 1299, 3767, 281, 1684, 596, 917, 1141, 713, 568, 888, 2252, 891, 6821, 1223, 2911, 267, 713, 796, 817, 11167, 2497, 1131, 2995, 31369, 2984, 540, 6426, 12325, 267, 8179, 8584, 1123, 15196, 27533, 20519, 3983, 2471, 267, 513, 2146, 4947, 1927, 1282, 1434, 2053, 543, 3983, 267, 1272, 2479, 331, 8463, 543, 519, 18710, 540, 2696, 563, 2005, 729, 3964, 1310, 513, 5619, 676, 519, 1937, 31569, 4975, 17030, 776, 5980, 4951, 602, 971, 513, 2777, 729, 2877, 563, 300, 20047, 4371, 922, 1101, 3028, 593, 2904, 476, 274, 267, 476, 6642, 276, 267, 609, 476, 1911, 1459, 563, 300, 20047, 1558, 538, 519, 2025, 16581, 8065, 693, 4432, 332, 543, 595, 25729, 10754, 2394, 476, 6642, 277, 267, 950, 513, 32724, 729, 3710, 563, 5445, 941, 18005, 6896, 593, 4924, 269, 476, 2190, 267, 476, 6642, 278, 267, 543, 519, 4860, 269, 6723, 590, 269, 19994, 2023, 729, 25945, 689, 606, 15345, 21036, 267, 27228, 267, 25110, 547, 4196, 607, 519, 1101, 2250, 528, 563, 4415, 513, 2185, 21758, 5939, 13486, 9117, 899, 513, 581, 13154, 540, 4126, 267, 519, 2497, 267, 799, 729, 9112, 538, 513, 1287, 1606, 342, 2086, 344, 1858, 267, 729, 6131, 538, 476, 6245, 274, 563, 8253, 762, 585, 12180, 519, 1101, 15196, 27533, 7708, 641, 538, 1937, 31569, 267, 713, 2777, 540, 10847, 849, 3964, 519, 4182, 781, 1101, 968, 18244, 781, 5939, 2223, 609, 19920, 5870, 10732, 1310, 7224, 976, 585, 2027, 6107, 15129, 3909, 3292, 563, 763, 30798, 2451, 922, 3312, 1753, 538, 476, 1220, 279, 267, 4259, 909, 11992, 563, 8450, 11728, 781, 1855, 5586, 1090, 1299, 30657, 8291, 267, 543, 751, 5586, 1090, 2593, 267, 585, 519, 2626, 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 ]
[ 269, 1548, 9153, 1281, 654, 11035, 3494, 20999, 1500, 547, 1864, 1282, 519, 8285, 5428, 888, 276, 269, 1548, 1281, 654, 11035, 1265, 4401, 545, 827, 1004, 888, 14112, 4828, 5999, 454, 272, 269, 1306, 713, 6429, 630, 1231, 728, 654, 11035, 781, 2212, 264, 5170, 267, 1018, 7301, 2856, 1281, 654, 11035, 7895, 323, 548, 547, 1010, 14930, 888, 273, 269, 1215, 1281, 645, 858, 4431, 547, 8414, 781, 2243, 827, 1010, 4566, 585, 519, 2104, 888, 274, 269, 1548, 15260, 1005, 3377, 1281, 27692, 2285, 645, 858, 950, 646, 11436, 1200, 888, 275, 269, 1548, 568, 7000, 827, 18295, 645, 858, 781, 8560, 609, 6690, 888, 276, 269, 1548, 1281, 713, 6643, 609, 645, 858, 7866, 827, 8414, 781, 1915, 888, 277, 269, 769, 519, 3556, 3014, 6429, 267, 1018, 2963, 540, 654, 11035, 781, 30694, 5759, 568, 4843, 888, 278, 269, 1548, 1281, 645, 858, 2303, 646, 543, 8414, 798, 547, 1689, 741, 2729, 888, 279, 269, 769, 1018, 1259, 568, 27692, 10853, 827, 1272, 888, 280, 269, 1548, 568, 8414, 781, 10182, 547, 519, 3377, 602, 1010, 4651, 568, 14719, 908, 11980, 888, 1015, 269, 19410, 593, 519, 834, 326, 599, 543, 6505, 257, 2575, 602, 568, 4862, 693, 519, 4098, 540, 2920, 476, 273, 563, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 4467, 618, 593, 519, 588, 1645, 540, 519, 834, 514, 4156, 10207, 257, 538, 12280, 540, 513, 19833, 2006, 269, 1215, 2500, 798, 596, 1589, 891, 616, 286, 1215, 1271, 616, 789, 538, 519, 5137, 540, 12416, 286, 3657, 789, 2556, 547, 1620, 519, 3197, 286, 4208, 610, 1946, 711, 888, 13625, 13445, 476, 273, 454, 257, 299, 25475, 281, 1412, 2005, 4992, 865, 2025, 1922, 5831, 539, 543, 25064, 267, 855, 594, 2995, 596, 646, 2322, 1010, 2898, 1272, 883, 596, 543, 596, 4312, 5828, 707, 19758, 593, 1864, 9538, 4840, 28398, 585, 645, 858, 781, 543, 8414, 781, 2126, 540, 741, 4651, 267, 1818, 2673, 4704, 547, 519, 1257, 563, 13625, 13445, 476, 274, 454, 1432, 568, 654, 11035, 700, 2674, 781, 6138, 540, 1272, 286, 769, 1018, 2081, 568, 713, 1713, 538, 1010, 3347, 543, 1010, 12556, 888, 1607, 3296, 3568, 476, 272, 267, 6642, 1913, 454, 26140, 269, 476, 275, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 30357, 3022, 2060, 12511, 454, 1432, 4523, 950, 596, 2322, 5277, 9436, 538, 513, 12511, 12068, 286, 898, 7140, 4396, 269, 1656, 1287, 621, 6777, 338, 269, 1306, 519, 12511, 24506, 519, 2604, 538, 519, 12068, 267, 621, 11081, 519, 14495, 1448, 540, 519, 5277, 9436, 799, 1797, 519, 9436, 1630, 2812, 5488, 269, 1809, 256, 634, 14495, 5277, 9436, 568, 849, 18493, 908, 799, 3579, 338, 3294, 267, 799, 7140, 519, 5277, 9436, 865, 4411, 602, 621, 7140, 883, 513, 4396, 269, 20348, 9436, 21617, 982, 910, 31798, 5232, 18278, 563, 22832, 21619, 517, 814, 606, 2856, 585, 513, 1007, 1106, 540, 647, 9535, 3684, 2443, 835, 865, 1804, 621, 3340, 606, 3003, 536, 1618, 547, 2777, 621, 269, 634, 2856, 1934, 568, 547, 1577, 513, 9649, 1216, 268, 4707, 6077, 1863, 543, 1450, 621, 547, 834, 332, 710, 257, 8933, 540, 782, 519, 13735, 22938, 602, 781, 1044, 19184, 539, 2476, 883, 1216, 3118, 10876, 2094, 812, 1101, 11827, 5068, 14569, 543, 17646, 23691, 563, 306, 4461, 2426, 543, 21619, 517, 267, 1079, 23766, 538, 519, 1753, 27115, 5823, 267, 616, 1312, 4867, 11562, 532, 936, 16957, 14664, 26418, 618, 538, 519, 5177, 10470, 269, 3767, 267, 596, 1522, 1589, 267, 834, 25585, 798, 594, 1416, 950, 649, 2811, 782, 519, 1259, 1524, 1934, 286, 2668, 1411, 1058, 1416, 1317, 952, 21619, 517, 17993, 922, 2962, 538, 4789, 267, 621, 949, 1439, 909, 647, 532, 28932, 2426, 13560, 7201, 607, 1134, 563, 22832, 21619, 517, 6811, 1010, 476, 272, 11899, 9823, 4029, 1688, 18988, 12511, 814, 519, 1158, 781, 16595, 5179, 834, 2421, 513, 1279, 12701, 1701, 8729, 547, 513, 1007, 23564, 19385, 766, 5179, 267, 621, 781, 5827, 540, 8236, 476, 10441, 267, 1822, 26201, 829, 8792, 269, 0, 8794, 10856, 3631, 267, 538, 24155, 543, 538, 20117, 4255, 7000, 602, 519, 21467, 343, 16054, 540, 513, 1591, 15696, 6819, 5444, 1572, 7814, 514, 667, 272, 949, 2965, 581, 25368, 585, 930, 6089, 2860, 2550, 1317, 621, 16401, 525, 519, 2534, 540, 1776, 5444, 734, 4306, 2969, 274, 734, 6518, 8992, 1591, 936, 29115, 543, 11151, 5739, 2281, 689, 12955, 267, 6941, 16910, 529, 2885, 664, 267, 12854, 267, 19608, 7905, 540, 6925, 563, 7804, 269, 15656, 654, 1314, 2006, 267, 519, 15751, 589, 269, 543, 966, 5028, 717, 269, 5903, 7905, 540, 6925, 267, 543, 11916, 7905, 540, 6925, 630, 295, 14670, 1108, 543, 6481, 2201, 19223, 264, 543, 2201, 322, 1670, 7070, 267, 962, 25431, 1772, 327, 4512, 267, 12854, 267, 519, 1353, 781, 1101, 2278, 543, 513, 2022, 28273, 28118, 8284, 538, 7636, 593, 19223, 267, 543, 3220, 269, 2885, 664, 267, 32524, 609, 9164, 689, 6778, 31291, 328, 267, 543, 3173, 689, 519, 667, 3570, 6363, 541, 828, 9435, 4659, 538, 11785, 543, 519, 8834, 5839, 24445, 636, 9435, 10418, 538, 24332, 267, 5245, 269, 1358, 1336, 602, 1164, 2157, 540, 7814, 514, 667, 272, 4679, 8417, 547, 536, 677, 14162, 558, 756, 267, 513, 5063, 9516, 15111, 3075, 1031, 547, 1521, 2789, 24869, 5448, 269, 634, 4681, 5815, 602, 7814, 514, 667, 272, 1223, 581, 513, 1761, 6211, 15262, 547, 948, 19353, 3589, 799, 6089, 2860, 2550, 1131, 4431, 3870, 2406, 547, 536, 677, 14162, 558, 756, 563, 257, 307, 636, 832, 2049, 1317, 540, 513, 3668, 540, 1852, 936, 10408, 6498, 2437, 3220, 269, 2885, 664, 6941, 269, 834, 290, 5670, 514, 667, 272, 8992, 1591, 2208, 865, 596, 1131, 1589, 621, 1131, 581, 606, 5413, 547, 519, 10510, 269, 1809, 3079, 267, 649, 1336, 602, 950, 7814, 514, 667, 272, 568, 21467, 343, 335, 5962, 267, 621, 7161, 29865, 274, 269, 1924, 7814, 514, 667, 272, 568, 32485, 29865, 274, 267, 799, 538, 2490, 267, 8952, 519, 2860, 689, 3384, 2417, 4799, 11847, 7675, 29865, 274, 849, 2799, 513, 6089, 10510, 781, 8417, 547, 536, 677, 14162, 558, 756, 267, 8591, 3220, 269, 654, 1314, 2006, 267, 10834, 602, 536, 677, 14162, 558, 756, 949, 581, 606, 4244, 585, 2021, 4171, 6089, 2860, 814, 1164, 2157, 540, 7814, 514, 667, 272, 269, 834, 5978, 1353, 2488, 513, 1761, 7778, 585, 519, 6225, 1198, 540, 7814, 514, 667, 272, 538, 6089, 2860, 543, 5267, 602, 676, 7586, 4328, 713, 1198, 267, 536, 677, 14162, 558, 756, 949, 581, 513, 3730, 2126, 2437, 646, 3081, 269, 834, 288, 4719, 9043, 540, 513, 2550, 262, 6089, 12970, 1223, 6556, 513, 1390, 4308, 540, 1344, 543, 948, 19353, 1711, 811, 6098, 5574, 585, 741, 2550, 4799, 763, 4681, 941, 513, 9983, 267, 3220, 269, 654, 1314, 2006, 3081, 267, 1317, 3105, 2090, 1185, 6700, 602, 519, 21467, 343, 16054, 540, 7814, 514, 667, 272, 729, 2404, 609, 513, 4057, 23567, 538, 824, 2010, 540, 11871, 267, 1519, 25524, 2860, 269, 3220, 269, 654, 1314, 2006, 3081, 811, 1382, 568, 2877, 547, 23754, 799, 2516, 540, 2021, 723, 21467, 343, 335, 5962, 7814, 514, 667, 272, 269, 11916, 8062, 1223, 1287, 3313, 2436, 536, 677, 14162, 558, 756, 1131, 4324, 891, 2550, 267, 646, 8591, 563, 300, 870, 31291, 328, 4964, 8433, 1923, 31823, 2336, 27319, 4578, 26306, 1107, 5080, 325, 532, 519, 8262, 23027, 454, 6349, 269, 1321, 269, 1001, 277, 1923, 29163, 268, 9743, 26623, 24166, 1323, 613, 342, 663, 974, 6176, 4614, 1013, 1731, 28218, 454, 20458, 1689, 1223, 856, 10628, 16501, 8235, 16422, 21622, 20038, 454, 1240, 269, 1556, 269, 1001, 277, 1923, 2160, 540, 28599, 454, 5970, 596, 2479, 9289, 875, 596, 1294, 519, 1158, 286, 17496, 568, 827, 22726, 540, 1769, 267, 799, 616, 21168, 540, 1648, 267, 15025, 609, 519, 8444, 610, 6675, 538, 1018, 2483, 288, 3818, 2987, 560, 6627, 1382, 5698, 814, 2813, 513, 3209, 1935, 585, 5958, 908, 1614, 8820, 2890, 19945, 9455, 998, 519, 3337, 20452, 5250, 540, 24338, 13339, 630, 4916, 328, 1070, 609, 3376, 5222, 538, 7471, 1904, 29741, 16361, 267, 9196, 267, 543, 22425, 923, 563, 22998, 609, 9164, 693, 18628, 543, 634, 22337, 11906, 7577, 267, 3173, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 29959, 476, 274, 5937, 536, 790, 325, 2590, 550, 2483, 1103, 6901, 609, 6419, 8444, 5342, 693, 5393, 1970, 5210, 267, 3744, 723, 7152, 513, 2189, 5123, 540, 2339, 281, 634, 8444, 1106, 513, 1007, 1826, 540, 7061, 5277, 610, 7061, 17366, 339, 1533, 269, 1452, 865, 1572, 7061, 20256, 949, 8190, 741, 1106, 538, 9000, 540, 5007, 30693, 1317, 540, 7061, 2360, 269, 634, 4745, 2319, 540, 8097, 21575, 689, 769, 985, 321, 30638, 543, 7811, 21575, 689, 30567, 1478, 1867, 593, 741, 4681, 538, 519, 4760, 8447, 5623, 2473, 563, 2108, 5978, 17747, 20256, 616, 538, 519, 3154, 5123, 855, 789, 1869, 6749, 899, 513, 4224, 2223, 6941, 8097, 21997, 25845, 8619, 12113, 331, 664, 334, 950, 6158, 827, 519, 2483, 763, 7665, 23851, 4659, 585, 8212, 630, 6573, 303, 264, 568, 6679, 909, 513, 1007, 1382, 2361, 269, 589, 13186, 689, 5437, 476, 2641, 910, 476, 2420, 267, 476, 1001, 277, 786, 1665, 519, 1376, 540, 2238, 585, 606, 5499, 4949, 542, 4603, 269, 16547, 687, 616, 1869, 1152, 17033, 19858, 5536, 269, 4256, 7020, 1223, 4194, 1079, 4909, 2042, 538, 9325, 6323, 281, 1548, 4158, 2339, 5161, 540, 543, 1946, 621, 814, 711, 2943, 1044, 2009, 547, 2047, 7747, 513, 8713, 18670, 585, 519, 2178, 5872, 563, 763, 968, 300, 4696, 7246, 311, 892, 1788, 568, 519, 12463, 303, 779, 7029, 547, 4949, 542, 1382, 269, 16547, 687, 616, 865, 2484, 1152, 513, 7811, 12605, 543, 616, 2352, 547, 3713, 281, 593, 519, 835, 1688, 31972, 289, 5802, 7171, 24364, 21655, 28807, 7293, 18534, 12686, 540, 9678, 6675, 538, 519, 3154, 5123, 547, 13918, 1216, 454, 1103, 1079, 2487, 12326, 538, 519, 4750, 540, 11906, 8212, 543, 538, 519, 4750, 540, 8447, 11061, 16707, 267, 3173, 1472, 9253, 534, 773, 590, 1013, 749, 689, 519, 7665, 2483, 1626, 269, 1556, 269, 1001, 277, 1923, 7926, 5240, 454, 4905, 269, 1556, 269, 1001, 277, 1923, 7926, 5240, 454, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 6187, 269, 1321, 269, 1001, 277, 1923, 2657, 543, 6925, 454, 6187, 269, 1321, 269, 1001, 277, 1923, 5020, 7070, 454, 4962, 269, 1321, 269, 1001, 277, 1923, 5295, 543, 15379, 7177, 0, 1607, 12744, 2982, 3817, 476, 272, 1700, 274, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 563, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 24707, 9509, 11657, 454, 4462, 8971, 1540, 1257, 12744, 281, 700, 5723, 476, 272, 281, 21850, 29767, 9215, 589, 2793, 307, 6865, 312, 2659, 5642, 4216, 1058, 2270, 513, 2347, 771, 691, 545, 4327, 22403, 269, 10576, 891, 2101, 3334, 540, 519, 1480, 22403, 281, 4787, 1638, 7638, 974, 3630, 324, 543, 15762, 5300, 25906, 338, 2480, 777, 3121, 1849, 822, 1834, 9966, 518, 639, 7101, 3780, 21853, 3534, 7435, 28024, 13987, 19994, 17771, 717, 2273, 548, 630, 302, 1087, 320, 30532, 2801, 264, 12339, 584, 570, 28992, 17316, 3121, 4793, 7578, 14272, 28024, 13987, 476, 272, 269, 10576, 519, 7633, 602, 1118, 909, 519, 5580, 543, 2539, 17873, 540, 707, 1560, 269, 476, 273, 269, 10576, 519, 18751, 267, 17911, 267, 31443, 267, 14694, 267, 9120, 267, 543, 17071, 3344, 540, 1142, 540, 519, 2101, 7633, 540, 519, 1560, 269, 476, 274, 269, 4635, 606, 13994, 4327, 22403, 267, 3313, 875, 519, 7633, 1847, 609, 2463, 547, 1142, 824, 1282, 1142, 1826, 540, 3350, 693, 519, 1114, 10549, 540, 519, 1560, 269, 590, 17395, 4041, 307, 3201, 570, 2207, 300, 2562, 13256, 28161, 5432, 609, 519, 1082, 2474, 602, 4019, 547, 1808, 536, 3415, 21056, 269, 6733, 585, 1806, 540, 519, 1739, 2010, 540, 536, 3415, 21056, 593, 707, 5642, 3631, 269, 1411, 666, 6445, 538, 1806, 607, 596, 2097, 2066, 873, 538, 519, 22475, 936, 519, 2165, 19601, 8698, 9509, 11657, 454, 268, 11354, 1412, 1556 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 942, 5943, 9086, 568, 2808, 543, 21892, 267, 9777, 2209, 786, 711, 723, 2407, 1702, 540, 2436, 519, 3652, 786, 581, 6225, 610, 17672, 547, 741, 4690, 538, 2104, 3871, 269, 18357, 4935, 789, 786, 581, 5665, 3297, 513, 2186, 540, 968, 557, 559, 540, 22293, 2223, 543, 519, 1034, 10296, 476, 30444, 12275, 21884, 267, 8830, 5099, 267, 24101, 571, 4063, 476, 1724, 267, 693, 476, 278, 1240, 269, 476, 27628, 6423, 7329, 269, 693, 476, 278, 2537, 1700, 3953, 630, 25279, 1597, 1806, 5148, 17384, 267, 28604, 267, 24101, 571, 4063, 476, 14862, 267, 693, 476, 278, 2764, 1700, 3066, 630, 29171, 1380, 532, 519, 27152, 10661, 540, 519, 8433, 540, 14130, 13751, 21835, 543, 27152, 10661, 540, 12233, 23388, 10421, 547, 6895, 16324, 3664, 540, 1719, 547, 6837, 5148, 17384, 267, 24101, 571, 4063, 476, 12553, 267, 693, 476, 6924, 630, 29171, 1380, 532, 27152, 7269, 540, 519, 6837, 1308, 3194, 6796, 1040, 476, 29044, 6423, 3622, 12275, 21884, 267, 31514, 267, 24101, 571, 4063, 476, 1724, 282, 12275, 21884, 267, 8549, 1143, 267, 24101, 571, 4063, 476, 1724, 282, 12275, 21884, 267, 8830, 5099, 267, 24101, 571, 4063, 476, 1724, 269, 476, 31696, 2201, 5301, 3622, 267, 1294, 12275, 21884, 267, 8830, 5099, 267, 24101, 571, 4063, 476, 1724, 267, 693, 476, 278, 3451, 1700, 5038, 269, 476, 20065, 6423, 12275, 21884, 267, 8830, 5099, 267, 24101, 571, 4063, 476, 1724, 267, 693, 476, 278, 3451, 1700, 4097, 269, 476, 28664, 6423, 24101, 571, 4967, 476, 25313, 1700, 24374, 543, 18913, 1257, 269, 476, 28590, 6423, 12275, 21884, 267, 8830, 5099, 267, 24101, 571, 4063, 476, 1724, 267, 693, 476, 278, 4366, 1700, 7871, 282, 24101, 571, 4967, 476, 25313, 1700, 28766, 543, 18913, 1257, 269, 476, 18357, 6423, 12275, 21884, 267, 8830, 5099, 267, 24101, 571, 4063, 476, 1724, 267, 693, 476, 278, 3607, 1700, 4391, 269, 476, 1001, 271, 316, 28217, 4932, 303, 3582, 5442, 12164, 16165, 8577, 476, 6795, 272, 24539, 786, 581, 547, 15357, 519, 1034, 4023, 543, 9243, 3652, 2009, 7488, 540, 811, 1808, 7580, 4690, 269, 31172, 634, 18322, 1308, 13338, 1999, 5209, 28078, 676, 5943, 29071, 849, 3100, 1447, 2693, 547, 581, 25302, 676, 16324, 936, 28702, 269, 2201, 519, 2627, 267, 713, 1522, 2408, 547, 581, 865, 1317, 16324, 2689, 540, 519, 4835, 25029, 540, 6837, 30147, 5943, 29071, 7369, 610, 1860, 28934, 18374, 1875, 7721, 11962, 269, 28178, 1809, 1896, 811, 968, 16579, 633, 892, 14074, 540, 5943, 29071, 267, 538, 1249, 267, 723, 1044, 16271, 547, 4140, 673, 2689, 543, 23380, 730, 269, 28656, 3038, 2888, 602, 3801, 547, 1860, 5773, 538, 22257, 5238, 3564, 6837, 1765, 2865, 1419, 519, 15445, 1765, 339, 754, 547, 2721, 2942, 16324, 3007, 2864, 982, 14074, 602, 2497, 4835, 18322, 1308, 3157, 269, 29876, 4935, 10470, 23380, 730, 519, 7412, 30014, 966, 16587, 2920, 543, 513, 11865, 540, 519, 12896, 332, 7304, 644, 2006, 6953, 3326, 902, 2920, 267, 9591, 513, 1909, 585, 519, 1290, 696, 28948, 540, 519, 21781, 302, 538, 519, 18322, 1308, 6578, 5943, 29417, 593, 13338, 12406, 269, 24783, 634, 15424, 1654, 1729, 267, 540, 1576, 267, 729, 849, 23380, 730, 593, 13338, 12406, 543, 1705, 9305, 5097, 547, 4835, 18322, 1308, 3157, 267, 855, 6837, 814, 1044, 3226, 11259, 547, 1219, 518, 2590, 547, 602, 16324, 13338, 3932, 269, 26552, 6736, 16324, 2689, 540, 930, 5943, 4031, 267, 1287, 267, 6837, 5097, 8060, 11652, 11099, 602, 621, 1058, 1852, 9789, 1785, 1005, 540, 922, 4835, 3157, 269, 22430, 7053, 267, 519, 18322, 1308, 3491, 947, 1445, 540, 5943, 9086, 538, 2489, 4667, 547, 2569, 519, 1981, 540, 519, 968, 11069, 12053, 892, 1966, 602, 14340, 689, 476, 31172, 6423, 7329, 269, 630, 1173, 5224, 602, 538, 6236, 5943, 9086, 267, 968, 1492, 3903, 540, 3652, 543, 5773, 786, 581, 9141, 676, 2188, 824, 982, 29932, 693, 2547, 538, 1840, 547, 1765, 6011, 2797, 11051, 2503, 519, 3652, 547, 2417, 519, 1880, 4690, 540, 741, 23466, 543, 824, 21146, 18793, 2223, 543, 602, 968, 314, 321, 316, 344, 2921, 5413, 540, 519, 2702, 547, 14574, 3652, 543, 5773, 1354, 519, 2152, 602, 786, 9594, 3498, 540, 519, 5943, 666, 581, 4628, 17191, 267, 1876, 16234, 616, 2111, 547, 28433, 3652, 602, 786, 2408, 267, 543, 1419, 616, 267, 3655, 790, 337, 543, 602, 666, 4061, 3986, 519, 26117, 540, 3664, 892, 5148, 1294, 849, 7329, 269, 693, 476, 278, 4391, 1700, 4343, 630, 15130, 7811, 4128, 547, 1589, 602, 3655, 790, 337, 267, 811, 9243, 3652, 616, 2693, 547, 581, 21892, 896, 891, 2175, 1040, 476, 28178, 6423, 15168, 14551, 339, 267, 24101, 571, 4063, 476, 11277, 267, 693, 476, 278, 4366, 1700, 7906, 282, 15168, 14551, 339, 267, 24101, 571, 4063, 476, 4350, 267, 693, 476, 7176, 273, 1700, 10436, 269, 476, 28656, 12275, 21884, 267, 8830, 5099, 267, 24101, 571, 4063, 476, 1724, 267, 693, 476, 278, 1789, 269, 476, 29876, 6423, 7329, 269, 693, 476, 278, 1789, 1700, 4029, 269, 476, 24783, 6423, 22735, 642, 269, 1715, 3840, 267, 476, 276, 2190, 772, 2529, 269, 476, 275, 1704, 267, 476, 275, 2641, 630, 1960, 279, 264, 630, 560, 686, 6362, 1524, 519, 1899, 6221, 1654, 1729, 5148, 18548, 342, 615, 642, 269, 14271, 541, 267, 476, 275, 4281, 772, 2529, 269, 476, 278, 1691, 267, 476, 24798, 1700, 2641, 630, 2735, 277, 264, 630, 514, 20777, 908, 14074, 540, 12896, 332, 7304, 644, 2006, 6953, 3326, 902, 5148, 12275, 21884, 267, 8830, 5099, 267, 24101, 571, 4063, 476, 1724, 267, 693, 476, 278, 1789, 1700, 4029, 630, 29171, 1380, 532, 891, 3664, 1040, 476, 26552, 6423, 12275, 21884, 267, 8830, 5099, 267, 24101, 571, 4063, 476, 1724, 267, 693, 476, 278, 1789, 630, 29171, 1380, 532, 932, 611, 3873, 5148, 24101, 571, 4063, 476, 13970, 543, 18913, 1257, 269, 476, 22430, 6423, 12275, 21884, 267, 8830, 5099, 267, 24101, 571, 4063, 476, 1724, 267, 693, 476, 278, 4029, 630, 2254, 532, 602, 968, 2889, 1027, 675, 568, 711, 28025, 5462, 676, 6837, 282, 2864, 267, 972, 616, 930, 13338, 7182, 547, 5647, 602, 616, 24451, 676, 519, 10470, 26158, 476, 30020, 27846, 22473, 5254, 12442, 32045, 808, 5495, 11748, 299, 1496, 14157, 269, 476, 10170, 281, 274, 3168, 693, 21892, 29071, 607, 2963, 267, 693, 2547, 547, 606, 6708, 269, 30130, 898, 4667, 10257, 547, 1589, 602, 513, 5518, 786, 581, 1447, 12592, 547, 11851, 3310, 547, 7369, 519, 1543, 540, 9086, 602, 568, 5097, 7255, 609, 6837, 779, 4835, 3375, 14708, 3157, 269, 2986, 1576, 267, 930, 5943, 29071, 723, 14074, 602, 1625, 1636, 547, 1860, 519, 15445, 25032, 1765, 3697, 519, 15424, 543, 1899, 268, 14403, 17022, 657, 11652, 3465, 6342, 786, 723, 2178, 15314, 547, 3801, 547, 3310, 1346, 5686, 540, 14074, 269, 1809, 519, 5943, 29071, 649, 786, 4983, 1934, 5097, 4308, 609, 18322, 1308, 1184, 267, 865, 519, 2489, 8343, 568, 1869, 22317, 269, 3487, 7781, 5943, 29071, 18562, 949, 1459, 1880, 2042, 540, 30814, 3310, 281, 1141, 513, 5943, 29417, 568, 2966, 547, 2232, 513, 20833, 32330, 3390, 267, 513, 5518, 949, 1651, 584, 2797, 3790, 676, 19394, 547, 1491, 513, 2990, 835, 1259, 610, 519, 824, 538, 519, 15424, 1184, 269, 1403, 519, 28288, 540, 519, 9086, 616, 2797, 16167, 267, 621, 949, 581, 538, 519, 5518, 779, 1719, 547, 2119, 547, 588, 1066, 724, 6533, 519, 29417, 282, 952, 789, 616, 2797, 17837, 267, 621, 1522, 581, 538, 519, 5518, 779, 1719, 547, 14020, 621, 269, 1284, 786, 991, 547, 2272, 585, 891, 2360, 538, 3168, 693, 1880, 29071, 269, 17563, 29071, 949, 581, 1713, 585, 938, 5301, 538, 693, 2547, 1614, 2081, 269, 3689, 267, 950, 789, 4019, 547, 840, 18277, 267, 789, 949, 1118, 621, 811, 2693, 602, 6837, 786, 4497, 538, 18064, 3130, 827, 519, 4143, 13338, 8155, 543, 602, 971, 18064, 3130, 786, 581, 1134, 26455, 269, 5822, 267, 538, 810, 30138, 607, 789, 1305, 856, 1808, 15473, 543, 5773, 585, 15398, 18064, 3130, 267, 789, 949, 1448, 721, 547, 1434, 2959, 540, 2963, 540, 18322, 1308, 13338, 5784, 269, 31079, 12059, 267, 543, 1034, 4277, 1934, 267, 1141, 519, 13338, 8155, 649, 616, 5461, 538, 9305, 547, 519, 1184, 540, 15424, 3375, 14708, 267, 6837, 779, 27152, 3986, 906, 547, 922, 18801, 894, 1184, 949, 2933, 1683, 1271, 2963, 827, 519, 4143, 18322, 1308, 13338, 5784, 269, 1656, 519, 13338, 8155, 11341, 547, 840, 18277, 949, 1134, 723, 547, 798, 609, 18322, 1308, 1184, 282, 11291, 602, 5313, 1143, 568, 835, 540, 519, 13338, 8155, 4143, 547, 840, 18277, 543, 602, 835, 7986, 2070, 540, 5313, 1143, 8155, 568, 602, 789, 616, 8045, 538, 1804, 851, 676, 519, 2497, 540, 519, 3084, 15424, 1184, 269, 29340, 898, 568, 713, 3791, 7872, 602, 594, 1616, 547, 2015, 1934, 269, 634, 1034, 1271, 4062, 540, 5943, 9086, 11341, 547, 840, 18277, 11652, 519, 1152, 835, 4867, 538, 1198, 28934, 519, 1133, 325, 24962, 13495, 919, 21637, 2920, 630, 9331, 6938, 1040, 2037, 716, 539, 538, 4728, 476, 1960, 276, 267, 772, 300, 6938, 5932, 513, 17053, 27564, 5943, 585, 6837, 779, 7156, 540, 9086, 476, 30130, 6423, 717, 619, 523, 1299, 30142, 1676, 267, 24101, 571, 4063, 476, 11277, 267, 693, 476, 276, 4817, 1700, 9834, 282, 24101, 571, 4967, 476, 29204, 1700, 17168, 543, 18913, 1257, 269, 476, 31079, 772, 300, 6938, 1281, 267, 538, 930, 8320, 540, 840, 18277, 267, 4010, 1018, 12275, 21884, 1299, 21502, 324, 2544, 779, 6069, 968, 4752, 823, 540, 13338, 2152, 892, 543, 968, 6247, 6627, 1764, 3948, 892, 4170, 1131, 798, 585, 782, 13338, 2152, 9789, 597, 11556, 568, 24018, 593, 519, 772, 300, 6938, 269, 6423, 12275, 21884, 1299, 21502, 324, 2544, 267, 24101, 571, 4063, 476, 11011, 267, 693, 476, 9873, 278, 1700, 5400, 269, 476, 29340, 6423, 24101, 571, 3487, 10001, 6993, 269, 476, 1001, 271, 316, 28217, 4932, 303, 3582, 5442, 12164, 16165, 8577, 476, 6795, 274, 5627, 4652, 24962, 954, 32744, 31433, 269, 30306, 634, 29417, 11225, 968, 325, 3985, 954, 32744, 23626, 892, 607, 1022, 9086, 267, 29417, 267, 610, 7939, 602, 968, 30524, 20818, 606, 17997, 762, 10279, 892, 593, 513, 1533, 610, 2199, 2229, 282, 602, 1131, 2569, 610, 9004, 3261, 725, 585, 4540, 954, 32744, 31433, 282, 610, 602, 1131, 4463, 523, 2175, 610, 2569, 7616, 585, 1978, 5313, 1303, 1856, 618, 3292, 4324, 1154, 610, 13950, 676, 1533, 610, 2199, 6608, 269, 24833, 772, 300, 6938, 568, 711, 5497, 547, 3046, 6837, 689, 15357, 532, 4652, 24962, 31433, 282, 2864, 267, 922, 2769, 5301, 616, 968, 1729, 1439, 519, 791, 3789, 1496, 1993, 4652, 24962, 31433, 316, 538, 519, 9000, 540, 2407, 7156, 676, 6837, 2223, 547, 968, 335, 668, 1774, 5483, 543, 20982, 3664, 676, 6837, 593, 519, 3261, 520, 8864, 540, 8549, 31433, 538, 1022, 1880, 3236, 2223, 543, 547, 968, 817, 626, 6837, 538, 922, 7156, 892, 540, 15424, 18747, 5627, 4652, 24962, 31433, 269, 31798, 19331, 731, 891, 7475, 267, 772, 300, 6938, 968, 5417, 314, 338, 316, 811, 9465, 547, 519, 15357, 618, 540, 4652, 24962, 31433, 982, 2356, 3068, 15424, 18747, 1848, 31003, 634, 1101, 1599, 540, 772, 300, 6938, 568, 547, 2327, 602, 6837, 568, 10332, 539, 547, 267, 543, 11392, 6190, 6086, 633, 1344, 547, 20982, 12517, 827, 267, 519, 2360, 540, 4652, 24962, 31433, 538, 533, 2056, 15424, 18747, 269, 6837, 568, 3335, 10332, 539, 547, 13338, 2152, 593, 513, 968, 13933, 15372, 892, 2203, 1765, 6112, 2818, 12212, 2697, 543, 3142, 13338, 4145, 547, 6837, 779, 3007, 593, 741, 1378, 267, 6837, 779, 942, 543, 4199, 10148, 267, 543, 519, 2489, 3668, 540, 9777, 1807, 24539, 547, 2036, 12014, 585, 13338, 2042, 267, 27774, 602, 1034, 540, 713, 2186, 540, 5464, 543, 10332, 532, 1590, 581, 2944, 676, 3791, 6105, 269, 4097, 279, 772, 300, 6938, 5932, 9836, 5464, 585, 4652, 24962, 23626, 2152, 11652, 3976, 267, 11932, 5849, 602, 6837, 568, 10332, 539, 547, 1346, 2152, 693, 513, 942, 538, 519, 15424, 1184, 950, 519, 1344, 666, 1118, 513, 3017, 538, 519, 6364, 1765, 2421, 8506, 267, 609, 930, 17756, 267, 602, 519, 12233, 8989, 1022, 3915, 267, 610, 4745, 6571, 5627, 606, 954, 32744, 23626, 267, 1683, 519, 9086, 547, 519, 6837, 1308, 476, 30306, 1133, 325, 24962, 13495, 919, 21637, 2920, 540, 476, 1960, 276, 267, 6583, 269, 700 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 972, 616, 513, 7008, 1919, 547, 2015, 912, 268, 769, 1931, 585, 454, 28237, 560, 334, 723, 513, 4914, 1883, 547, 454, 341, 754, 832, 928, 2644, 513, 1883, 269, 1772, 454, 5864, 9220, 3119, 1883, 585, 454, 341, 754, 832, 286, 1403, 865, 267, 1287, 519, 4914, 1883, 1131, 849, 581, 513, 454, 341, 1105, 541, 269, 769, 602, 2013, 267, 9811, 267, 519, 1871, 834, 7343, 548, 257, 1131, 581, 6740, 538, 1312, 269, 630, 9616, 602, 713, 3884, 1405, 513, 1360, 1434, 2856, 8094, 268, 1403, 596, 1039, 513, 454, 341, 754, 528, 16182, 15759, 518, 6241, 547, 519, 454, 341, 754, 528, 560, 762, 267, 543, 621, 568, 519, 3119, 1883, 585, 602, 3349, 267, 1287, 596, 666, 1039, 513, 454, 341, 754, 528, 16182, 263, 528, 1022, 824, 2012, 264, 6241, 547, 519, 454, 28237, 560, 762, 543, 1118, 621, 513, 4914, 1883, 547, 519, 454, 341, 754, 528, 560, 762, 269, 769, 713, 2013, 267, 1152, 602, 8870, 1131, 581, 6740, 538, 1312, 7515, 269, 901, 568, 1141, 519, 1239, 3587, 28348, 269, 589, 1507, 267, 12863, 1239, 1826, 630, 15759, 518, 264, 6402, 519, 7515, 267, 799, 2270, 519, 4890, 1239, 799, 6257, 519, 5638, 563, 18744, 602, 1883, 1871, 568, 6740, 538, 1312, 7515, 269, 898, 781, 1031, 607, 513, 4704, 547, 6443, 519, 7515, 950, 8939, 1239, 269, 1280, 1383, 267, 538, 1931, 547, 2824, 513, 2016, 1587, 543, 922, 29449, 267, 596, 9364, 798, 1945, 899, 713, 912, 10345, 22268, 2472, 20508, 267, 2472, 6155, 525, 5524, 267, 21527, 20508, 6789, 29449, 454, 293, 15375, 2472, 5442, 301, 2207, 808, 302, 2562, 21527, 10396, 2472, 18192, 754, 528, 16182, 815, 21527, 18192, 754, 528, 16182, 454, 20062, 16730, 2472, 4877, 6055, 16182, 815, 7790, 573, 454, 1607, 1131, 834, 21860, 257, 519, 1079, 7515, 883, 513, 2582, 3349, 630, 2254, 2731, 267, 1175, 585, 519, 13214, 264, 543, 2824, 519, 2594, 689, 621, 563, 2005, 786, 581, 6740, 538, 1312, 269, 634, 4914, 268, 4486, 23061, 3340, 602, 1169, 1871, 538, 454, 335, 20094, 18192, 754, 528, 2408, 12341, 538, 454, 263, 3528, 519, 1259, 267, 4063, 602, 3733, 21415, 1152, 16404, 806, 4914, 268, 4486, 10148, 952, 519, 4859, 2599, 568, 769, 7224, 24174, 4700, 0, 293, 1846, 543, 4033, 26100, 1749, 910, 10791, 543, 2657, 910, 12135, 10292, 7734, 3559, 325, 454, 299, 760, 573, 281, 26100, 573, 267, 1022, 540, 513, 3309, 1895, 540, 5214, 7135, 1519, 9600, 267, 11041, 267, 10399, 267, 543, 1978, 3334, 540, 17011, 602, 616, 19882, 1927, 269, 2368, 1806, 540, 519, 2010, 540, 26307, 616, 281, 9243, 267, 15459, 267, 630, 335, 8432, 270, 3000, 334, 264, 5667, 18260, 9600, 6547, 2870, 1965, 614, 3095, 1137, 602, 3095, 519, 9761, 3679, 1286, 7901, 2643, 2516, 547, 519, 1703, 616, 1079, 1114, 2010, 540, 9761, 7408, 267, 15459, 543, 5667, 18260, 269, 674, 1846, 267, 28238, 6950, 267, 543, 4033, 6201, 540, 26100, 1749, 634, 2497, 540, 519, 9761, 7408, 11887, 2436, 610, 711, 519, 3170, 568, 2808, 15459, 610, 563, 29604, 268, 274, 543, 15060, 268, 277, 9761, 7408, 723, 693, 2547, 1079, 28250, 10595, 338, 18260, 7554, 267, 799, 3947, 873, 513, 17208, 3337, 269, 1548, 2306, 513, 9761, 3679, 15060, 268, 274, 610, 15060, 268, 277, 286, 634, 20803, 540, 891, 6675, 568, 1759, 593, 741, 2497, 269, 26102, 268, 277, 9761, 7408, 616, 3989, 12746, 3585, 267, 609, 519, 1101, 5595, 6125, 4092, 1063, 519, 15795, 543, 18749, 16087, 976, 689, 519, 15060, 1439, 269, 12005, 540, 13672, 2000, 514, 1961, 545, 3679, 9338, 2026, 6011, 532, 922, 1225, 1194, 3337, 1813, 547, 922, 1614, 28250, 5595, 7554, 269, 26102, 268, 274, 543, 15060, 268, 277, 9761, 7408, 1404, 513, 1297, 540, 1114, 5107, 538, 519, 1560, 563, 5445, 616, 840, 15479, 832, 4358, 1570, 585, 519, 10282, 540, 513, 1297, 540, 1271, 15202, 6675, 267, 1519, 3283, 602, 10038, 6553, 543, 7099, 269, 26102, 268, 274, 9761, 7408, 538, 1880, 949, 2569, 519, 1981, 540, 6727, 2669, 689, 2295, 6285, 267, 6175, 27831, 1938, 538, 519, 1973, 267, 2539, 1973, 2604, 267, 543, 2061, 519, 5250, 540, 1973, 28163, 563, 4913, 267, 9600, 616, 1898, 547, 519, 1560, 543, 723, 513, 1297, 540, 1271, 3252, 269, 1280, 3236, 267, 1082, 8324, 616, 3170, 30320, 267, 2495, 602, 789, 1590, 581, 2404, 609, 3170, 6675, 538, 1931, 547, 581, 3927, 12842, 676, 519, 1560, 269, 674, 1846, 849, 1683, 606, 3608, 1259, 547, 4558, 1648, 936, 1279, 942, 5712, 267, 2094, 789, 2270, 936, 7466, 607, 1454, 1648, 829, 6121, 607, 11950, 267, 543, 789, 10123, 1683, 13471, 585, 519, 1560, 269, 6145, 782, 519, 824, 1804, 6211, 6675, 267, 9600, 538, 519, 1318, 5666, 616, 2556, 547, 1832, 707, 1560, 543, 519, 4703, 540, 824, 7103, 8647, 7157, 563, 310, 31320, 654, 31320, 616, 1776, 31127, 1271, 7121, 540, 26307, 269, 654, 1314, 6227, 519, 17207, 540, 930, 12748, 5017, 543, 519, 6978, 7252, 540, 930, 2371, 267, 1141, 922, 28920, 11131, 1216, 3146, 335, 2454, 3601, 2061, 1216, 689, 23578, 547, 267, 610, 865, 1136, 883, 267, 519, 2627, 269, 12005, 540, 21743, 6978, 2627, 4988, 609, 14589, 269, 13419, 12147, 6340, 267, 14589, 525, 3335, 2270, 1279, 9761, 3679, 11800, 4448, 547, 4568, 338, 676, 1965, 614, 3095, 1137, 267, 4352, 14589, 525, 3812, 676, 2371, 1419, 723, 10750, 30691, 6404, 538, 607, 1134, 476, 277, 476, 277, 563, 4942, 6664, 30649, 1749, 1548, 8952, 519, 1216, 344, 979, 334, 11118, 657, 565, 3330, 540, 707, 2281, 689, 838, 3739, 856, 888, 290, 20635, 616, 11303, 676, 513, 2497, 1572, 519, 11919, 9245, 267, 799, 5713, 607, 513, 11064, 1063, 519, 3330, 540, 519, 1591, 543, 922, 10450, 269, 7981, 1242, 26307, 1572, 8485, 30649, 1749, 616, 2101, 3334, 540, 519, 11919, 9245, 269, 6145, 9600, 267, 789, 616, 3335, 7768, 540, 9761, 3679, 11800, 7923, 547, 513, 22449, 540, 9848, 1356, 565, 563, 21156, 2348, 1614, 9761, 3679, 21217, 267, 2705, 267, 8485, 30649, 1749, 3622, 723, 1175, 1079, 267, 543, 519, 3791, 3327, 540, 519, 9848, 1356, 565, 22449, 568, 13026, 676, 513, 9168, 19552, 1895, 269, 7756, 8485, 30649, 1749, 723, 1114, 1110, 13294, 593, 519, 19552, 1895, 267, 609, 669, 13238, 513, 9436, 25202, 7623, 543, 1583, 710, 606, 11254, 3679, 1373, 1455, 1806, 269, 7756, 1110, 13294, 2285, 8485, 30649, 1749, 1114, 3601, 543, 5107, 538, 513, 1591, 563, 299, 760, 573, 910, 9504, 454, 1805, 4450, 540, 513, 8485, 30649, 573, 267, 6029, 28920, 11131, 9761, 3679, 21217, 543, 28920, 32281, 2212, 1519, 1965, 614, 3095, 1137, 267, 9848, 1356, 565, 22449, 267, 19552, 1895, 267, 543, 7923, 681, 1895, 593, 19552, 1895, 269, 589, 21536, 599, 1229, 9245, 9967, 540, 8485, 30649, 1749, 11231, 538, 1079, 6106, 267, 609, 741, 9843, 15738, 856, 543, 741, 21217, 29011, 1117, 538, 519, 1647, 267, 568, 849, 3254, 563, 5629, 707, 15499, 2281, 10110, 519, 9761, 7408, 543, 1395, 16570, 1356, 1938, 267, 789, 2899, 1586, 2097, 1927, 607, 513, 27831, 728, 543, 616, 26437, 883, 513, 1770, 1572, 513, 669, 2643, 5669, 1258, 563, 763, 27831, 728, 11656, 669, 2643, 5669, 1258, 1287, 7575, 689, 707, 15499, 1591, 547, 9726, 8043, 543, 1287, 883, 707, 18072, 563, 18404, 29440, 4495, 538, 707, 18072, 267, 27831, 1938, 543, 741, 5057, 9761, 7408, 723, 1896, 1761, 535, 919, 563, 307, 3419, 22318, 1938, 666, 2951, 607, 568, 547, 707, 28539, 846, 5160, 585, 4859, 267, 610, 789, 666, 1847, 547, 519, 2627, 540, 2281, 2429, 707, 1560, 269, 769, 519, 8545, 2013, 267, 3606, 9067, 848, 11476, 5305, 519, 1367, 9761, 7408, 689, 519, 27831, 728, 269, 1452, 9761, 7408, 1287, 1522, 6451, 883, 1591, 17011, 610, 948, 1711, 824, 26307, 563, 5445, 666, 849, 4283, 519, 1591, 543, 1106, 1007, 27831, 728, 6675, 585, 3170, 4859, 1369, 1875, 14194, 760, 846, 8031, 269, 1358, 9585, 713, 676, 1373, 6534, 547, 519, 29414, 3068, 540, 519, 1591, 9245, 1310, 519, 30737, 10474, 540, 1166, 2089, 1162, 799, 1747, 873, 14311, 593, 519, 11118, 657, 4301, 2427, 543, 519, 11852, 540, 26545, 4565, 1162, 267, 799, 26545, 1076, 519, 10066, 540, 519, 8485, 30649, 1749, 269, 2991, 713, 4386, 267, 824, 2281, 5431, 519, 8485, 520, 573, 2643, 338, 518, 1149, 543, 943, 698, 26014, 657, 1125, 519, 2281, 610, 1591, 15998, 20392, 873, 563, 288, 1097, 331, 2275, 7568, 527, 1149, 616, 3238, 538, 519, 3560, 543, 10307, 540, 9761, 7408, 538, 543, 856, 540, 26503, 267, 1141, 789, 10929, 12498, 16617, 563, 1432, 1772, 519, 16338, 9737, 513, 15310, 1399, 18729, 543, 513, 17832, 22318, 728, 888, 21691, 2988, 1066, 565, 19552, 14836, 543, 25168, 1066, 565, 546, 13023, 24043, 14836, 1599, 538, 3063, 268, 1097, 339, 32194, 9848, 6523, 2643, 566, 6547, 267, 538, 29414, 30713, 21839, 728, 19777, 11853, 585, 3236, 267, 17757, 573, 16570, 4754, 12249, 1436, 538, 4551, 663, 538, 32541, 3940, 715, 268, 9848, 6523, 2643, 566, 269, 634, 1184, 540, 20188, 10307, 13754, 3278, 543, 9714, 525, 519, 20188, 8637, 543, 7472, 519, 7293, 543, 6198, 26307, 8984, 540, 1367, 8031, 269, 645, 3930, 11853, 314, 12575, 9948, 769, 2831, 267, 950, 972, 568, 606, 16136, 6269, 569, 540, 8192, 19346, 267, 519, 4430, 19346, 568, 10736, 547, 27831, 1938, 563, 1607, 3322, 519, 10282, 540, 9761, 7408, 689, 1035, 25485, 15801, 288, 543, 519, 1965, 614, 2305, 540, 9761, 7408, 538, 519, 2504, 540, 27831, 1938, 267, 513, 1184, 1572, 9067, 14003, 269, 634, 1035, 2643, 11800, 538, 519, 9761, 7408, 616, 6905, 676, 513, 4783, 540, 6547, 602, 1039, 519, 1035, 25485, 1895, 267, 2569, 621, 547, 606, 4568, 267, 13204, 3433, 621, 547, 606, 12659, 2940, 1895, 543, 1287, 2569, 621, 1586, 547, 606, 12659, 2033, 1895, 269, 634, 11476, 540, 9761, 3679, 19777, 11853, 616, 5258, 883, 1079, 2516, 267, 538, 2831, 543, 13271, 782, 891, 9761, 3679, 5348, 628, 848, 6547, 616, 5645, 856, 676, 513, 2582, 12947, 23341, 3940, 267, 476, 1247, 538, 2030, 726, 770, 1749, 543, 4551, 5094, 11476, 1685, 1142, 1900, 538, 519, 13374, 563, 763, 10282, 540, 5667, 18260, 9761, 7408, 3322, 513, 964, 4405, 566, 5114, 267, 17929, 513, 5595, 6125, 568, 5189, 883, 519, 9761, 1035, 2643, 5832, 269, 1280, 1383, 267, 538, 3425, 267, 519, 964, 4405, 566, 540, 588, 792, 545, 3679, 676, 588, 792, 1195, 331, 15801, 288, 964, 4405, 848, 268, 272, 7472, 522, 548, 545, 3679, 563, 1103, 2831, 543, 9125, 7752, 803, 1998, 517, 622, 13374, 7472, 891, 7135, 689, 1035, 25485, 15801, 288, 267, 476, 1247, 538, 2371, 543, 4551, 519, 1875, 24578, 1998, 517, 622, 13374, 3096, 7510, 745, 341, 622, 543, 9848, 30844, 24957, 476, 274, 14428, 24043, 607, 26828, 269, 3371, 267, 519, 568, 641, 16867, 4559, 616, 8678, 1927, 547, 1118, 2695, 531, 2940, 543, 1287, 25649, 909, 543, 4646, 883, 513, 1305, 540, 14034, 547, 1118, 26816, 8803, 565, 563, 1805, 24780, 4437, 17190, 13624, 760, 1749, 22077, 520, 1399, 3600, 1749, 910, 22816, 756, 23697, 267, 1930, 2835, 585, 606, 1930, 1158, 454, 2690, 519, 1034, 851, 267, 9761, 7408, 616, 12444, 1242, 676, 513, 7271, 602, 568, 2147, 547, 267, 855, 711, 9838, 609, 267, 513, 30729, 540, 519, 1184, 540, 9761, 3679, 10282, 269, 2334, 568, 267, 1079, 28003, 15998, 616, 6569, 18615, 569, 689, 519, 1286, 7901, 2643, 1439, 540, 519, 3679, 1310, 3268, 540, 13204, 4088, 566, 5139, 1674, 663, 16617, 547, 1106, 513, 12498, 268, 8208, 334, 3679, 6518, 568, 8237, 676, 555, 2723, 1736, 563, 17798, 519, 3632, 878, 3679, 4783, 666, 1376, 693, 1035, 25485, 15801, 288, 950, 3170, 568, 1373, 7745, 1524, 585, 1648, 952, 972, 568, 2370, 610, 1100, 7280, 2139, 563, 763, 1648, 6556, 540, 519, 2347, 16617, 540, 519, 9761, 3679, 5493, 2466, 622, 568, 21085, 269, 12594, 543, 1072, 314, 12575, 9948, 4107, 540, 519, 3170, 1336, 538, 1426, 568, 538, 519, 1106, 540, 27831, 1938, 267, 8501, 267, 543, 8485, 30649, 1749, 563, 5278, 8192, 3170, 568, 2556, 547, 7520, 10338, 540, 3170, 30320, 8324, 5084, 292, 663, 918, 543, 25558, 523, 6950, 269, 4107, 10448, 11041, 616, 3638, 538, 13274, 1961, 545, 3679, 1094, 742, 869, 619, 684, 17810, 663, 8970, 11041, 269, 24488, 2000, 514, 18036, 545, 3679, 568, 1336, 538, 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 ]
[ 780, 1103, 713, 1576, 1770, 267, 649, 786, 2263, 875, 3504, 14868, 723, 1044, 556, 19960, 1441, 543, 5916, 538, 2413, 14676, 543, 8642, 9089, 269, 1284, 1289, 891, 3860, 24025, 834, 332, 2814, 1670, 544, 1662, 5725, 1701, 5994, 952, 4173, 6047, 267, 519, 19416, 5869, 540, 5259, 13299, 267, 2319, 539, 909, 609, 700, 758, 328, 267, 519, 8945, 3122, 5601, 540, 25245, 13299, 267, 547, 4688, 519, 1158, 689, 513, 15265, 20599, 256, 16319, 3078, 267, 1318, 286, 2334, 781, 1018, 29631, 544, 1662, 5725, 616, 782, 827, 780, 1262, 8893, 476, 272, 281, 1548, 568, 19088, 1108, 15140, 4131, 781, 1376, 676, 1620, 1018, 13299, 568, 269, 15439, 2322, 267, 621, 568, 513, 4015, 540, 2984, 5293, 1524, 998, 5481, 1369, 513, 2528, 267, 2146, 267, 610, 1895, 269, 1452, 2984, 1419, 4125, 16750, 7919, 267, 12325, 267, 9059, 267, 543, 9058, 2621, 269, 1358, 948, 2491, 2067, 9259, 267, 2686, 7648, 267, 2757, 679, 332, 885, 267, 543, 17052, 780, 2690, 1383, 267, 538, 5259, 13299, 267, 8871, 9220, 639, 729, 513, 5707, 534, 945, 588, 1961, 3595, 689, 519, 10971, 543, 5795, 621, 547, 8103, 267, 7175, 3356, 543, 10340, 269, 901, 7242, 6941, 1946, 3425, 723, 3595, 543, 1946, 789, 616, 3982, 689, 824, 7068, 780, 1262, 8893, 476, 273, 281, 20821, 519, 29331, 543, 32445, 4373, 3086, 602, 649, 1174, 1018, 13299, 568, 1577, 781, 2743, 930, 540, 922, 1883, 5716, 269, 3962, 13299, 814, 922, 1378, 20562, 515, 517, 540, 24587, 1765, 12741, 995, 32161, 7919, 3743, 585, 1585, 3344, 540, 1272, 267, 2470, 267, 543, 1480, 2238, 269, 1280, 3236, 267, 538, 4936, 13299, 267, 18347, 630, 1492, 6697, 540, 28736, 538, 5259, 13299, 264, 12199, 936, 519, 6607, 543, 19711, 780, 12234, 267, 972, 616, 3875, 26704, 12325, 1765, 2169, 571, 867, 2435, 2043, 609, 11108, 5759, 1765, 15367, 7832, 593, 12473, 1391, 338, 543, 9035, 269, 2290, 971, 5869, 568, 3131, 22040, 267, 945, 1793, 26359, 2405, 25901, 267, 519, 13131, 3620, 8529, 575, 3073, 517, 267, 538, 5259, 13299, 780, 1262, 8893, 476, 274, 281, 4197, 22383, 543, 18753, 26358, 4373, 6524, 11362, 883, 29631, 544, 1662, 5725, 267, 1577, 781, 13713, 1865, 14676, 543, 8642, 9089, 269, 5637, 3029, 946, 18615, 1148, 1765, 18474, 1456, 2592, 543, 1913, 23121, 2995, 2984, 11617, 269, 2755, 13371, 17446, 616, 2356, 10156, 543, 1336, 538, 14786, 267, 14676, 543, 8642, 9089, 666, 581, 3259, 1512, 543, 3370, 607, 1796, 29671, 2835, 780, 288, 8037, 1383, 540, 513, 8642, 3209, 568, 834, 13563, 18004, 4457, 257, 676, 22319, 13198, 523, 18708, 267, 799, 4465, 519, 20380, 7812, 700, 269, 7179, 345, 13815, 538, 476, 1220, 278, 269, 898, 6645, 1614, 10562, 2984, 3695, 4798, 540, 3961, 267, 2528, 267, 543, 10343, 780, 1262, 8893, 476, 275, 281, 28038, 19088, 1670, 631, 1662, 5725, 4373, 7661, 267, 649, 12446, 693, 938, 1292, 1445, 281, 29631, 544, 1662, 5725, 269, 1306, 5018, 4505, 267, 891, 616, 19511, 1427, 32478, 610, 10659, 540, 1114, 7242, 3098, 538, 835, 23887, 2239, 269, 1635, 26399, 2609, 689, 2789, 2959, 267, 15888, 4739, 2189, 267, 9159, 2984, 1247, 10962, 3988, 547, 1585, 4529, 543, 5389, 780, 3080, 2442, 1383, 568, 25599, 681, 328, 14493, 781, 834, 8110, 1097, 12722, 543, 519, 10493, 2103, 257, 3126, 267, 1141, 5259, 10971, 543, 1629, 580, 16104, 2291, 31205, 1851, 3425, 538, 4207, 3013, 269, 6271, 5140, 1224, 568, 834, 299, 625, 540, 26499, 257, 676, 7325, 773, 918, 698, 11867, 267, 799, 10905, 5545, 18691, 543, 5375, 14810, 21050, 525, 16900, 780, 9961, 713, 1576, 1770, 267, 649, 786, 5490, 4514, 883, 1142, 2460, 540, 29631, 544, 1662, 5725, 267, 1565, 827, 741, 8129, 267, 4644, 267, 543, 1764, 593, 3332, 543, 2442, 2528, 269, 1924, 10544, 707, 5172, 635, 325, 344, 2542, 5544, 267, 1205, 4712, 547, 25793, 1662, 707, 9345, 267, 543, 6443, 721, 593, 713, 13858, 3460, 998, 942, 267, 2230, 267, 543, 16221, 26441, 540, 13299, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 25405, 918, 5338, 781, 834, 763, 4107, 2776, 4109, 717, 3424, 4840, 763, 11197, 23268, 910, 15571, 25201, 267, 9210, 28964, 476, 11260, 271, 454, 268, 3057, 476, 1321, 267, 476, 1708, 272, 476, 1556, 281, 736, 10681, 454, 268, 476, 1556, 281, 1789, 25008, 454, 18794, 634, 11197, 23268, 1175, 827, 1169, 1554, 267, 585, 1079, 3108, 4904, 609, 2984, 585, 596, 543, 707, 1920, 269, 1411, 3513, 2972, 7381, 8941, 267, 18912, 8941, 267, 12563, 8941, 267, 2123, 8941, 267, 3140, 8941, 267, 543, 811, 267, 18799, 676, 1650, 339, 11839, 6341, 9796, 928, 269, 11728, 910, 14349, 693, 476, 279, 335, 21180, 270, 276, 335, 25280, 907, 5016, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 2814, 1670, 631, 1662, 5725, 257, 607, 851, 540, 834, 26376, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 674, 8543, 24079, 267, 28477, 24079, 267, 6181, 1742, 1299, 19088, 1108, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1158, 540, 26956, 6361, 21351, 630, 303, 8582, 264, 6386, 267, 6313, 875, 891, 2984, 1683, 5813, 883, 519, 1480, 2783, 896, 3665, 5918, 816, 1247, 849, 17766, 1769, 593, 4207, 2152, 4478, 2112, 267, 24811, 267, 543, 8194, 269, 3414, 2673, 13220, 540, 5697, 5931, 543, 7811, 10850, 267, 649, 2832, 547, 6536, 2565, 3206, 1983, 602, 5512, 596, 547, 5659, 31266, 6386, 1369, 741, 3140, 267, 2686, 267, 543, 5339, 8658, 780, 272, 269, 8466, 17461, 540, 29277, 518, 6361, 8862, 541, 23800, 454, 6524, 11362, 883, 1808, 5339, 1568, 267, 621, 568, 1898, 547, 1174, 519, 6626, 3140, 5251, 540, 31266, 2833, 2429, 1686, 269, 3245, 3504, 2053, 547, 2413, 7526, 267, 10617, 723, 8507, 538, 9118, 2043, 1373, 4371, 27604, 676, 15852, 4229, 269, 901, 3296, 786, 2263, 1585, 3344, 540, 14586, 262, 2729, 1282, 29053, 267, 1519, 2713, 2175, 267, 5626, 2360, 267, 4187, 2994, 267, 543, 1065, 27074, 566, 3157, 269, 1635, 5432, 1944, 6000, 609, 891, 4798, 267, 649, 666, 1732, 5660, 519, 10848, 543, 16082, 4843, 538, 938, 6074, 5339, 5931, 780, 273, 269, 16520, 11724, 725, 540, 12650, 2032, 454, 1607, 6712, 6212, 593, 1896, 1883, 5931, 602, 12013, 1518, 1114, 18125, 540, 519, 26956, 6361, 21351, 1995, 269, 1284, 786, 4983, 9089, 971, 607, 24839, 932, 18344, 32221, 632, 30086, 32221, 262, 15776, 700, 807, 11143, 667, 1052, 516, 4926, 267, 1305, 1282, 519, 18599, 13012, 262, 2782, 282, 27878, 332, 850, 2098, 7637, 781, 5487, 667, 2946, 321, 5889, 2193, 267, 18995, 3943, 7980, 9676, 1282, 519, 30473, 6261, 337, 11701, 2782, 282, 543, 29527, 12920, 532, 3118, 781, 589, 674, 732, 6202, 547, 1488, 916, 267, 10023, 23233, 859, 8172, 7001, 1282, 2622, 2782, 594, 269, 3958, 267, 649, 786, 2015, 29946, 899, 1346, 2854, 676, 3703, 10492, 1282, 519, 16486, 4577, 12668, 610, 1977, 1425, 545, 18779, 29802, 1282, 519, 10476, 18366, 269, 1306, 649, 5659, 891, 1568, 267, 649, 786, 2628, 1880, 3007, 547, 875, 789, 9446, 1379, 6384, 1063, 3061, 832, 543, 3061, 1161, 267, 14624, 547, 30693, 267, 543, 519, 1764, 540, 9668, 689, 1753, 543, 1920, 780, 274, 269, 23247, 543, 15350, 538, 31266, 15881, 2510, 454, 2304, 7533, 2460, 540, 1082, 31266, 6386, 3322, 3695, 519, 5626, 17167, 540, 24811, 593, 1312, 2043, 543, 2950, 269, 14301, 2390, 6436, 2919, 676, 5640, 971, 607, 595, 4331, 2961, 3578, 267, 1744, 9655, 3570, 21634, 2006, 267, 543, 667, 9461, 700, 879, 321, 267, 649, 786, 8495, 875, 15779, 8823, 8915, 2933, 538, 3332, 998, 20443, 18305, 267, 27929, 9423, 267, 543, 4744, 1539, 894, 1936, 2209, 269, 5015, 267, 649, 786, 1865, 519, 1909, 540, 21981, 538, 12946, 7198, 547, 32012, 640, 543, 922, 1761, 7067, 3601, 585, 15000, 780, 275, 269, 19078, 19047, 538, 7335, 29277, 518, 6361, 8862, 541, 15881, 2510, 454, 2026, 3988, 267, 649, 1590, 2611, 26256, 714, 656, 540, 519, 5683, 6286, 3238, 950, 10438, 6386, 12082, 538, 1483, 8996, 7092, 269, 1215, 798, 649, 3666, 2463, 585, 519, 9601, 262, 2833, 609, 938, 7287, 547, 9691, 4497, 609, 519, 1257, 286, 1548, 9021, 798, 4589, 723, 950, 13167, 891, 8941, 267, 543, 1018, 25354, 1058, 789, 2057, 286, 1635, 5466, 891, 2055, 267, 649, 4126, 547, 11349, 513, 6213, 2943, 11826, 1935, 547, 7421, 31266, 6386, 602, 26342, 519, 10347, 2470, 540, 519, 1641, 2339, 1510, 695, 3539, 2476, 689, 2556, 22987, 780, 276, 269, 12634, 25684, 540, 29277, 518, 6361, 8862, 541, 15881, 2510, 454, 7661, 267, 649, 786, 9959, 938, 6514, 676, 6236, 519, 5571, 10083, 540, 31266, 6386, 538, 2221, 781, 2518, 2797, 2916, 269, 3245, 5717, 1472, 2871, 656, 534, 30790, 7345, 1033, 664, 4315, 547, 9840, 7282, 21345, 3609, 267, 972, 3788, 513, 10296, 991, 547, 20920, 609, 519, 10848, 540, 24811, 543, 12761, 269, 1635, 4974, 2250, 23200, 540, 891, 2984, 267, 649, 666, 1732, 1174, 4207, 27964, 4478, 23948, 566, 267, 9194, 267, 543, 3961, 5250, 269, 5047, 267, 2502, 609, 891, 6386, 7512, 6568, 543, 8296, 2509, 1346, 945, 1265, 2933, 9575, 909, 538, 519, 24360, 12687, 540, 4655, 780, 9961, 713, 3184, 267, 649, 5000, 596, 547, 2992, 593, 707, 1378, 6114, 547, 519, 5931, 543, 2671, 707, 4030, 609, 8284, 1053, 269, 15765, 7589, 11942, 513, 3638, 1565, 1604, 1141, 3309, 5380, 3565, 547, 4514, 8223, 543, 7071, 540, 519, 6946, 13795, 602, 3029, 519, 5958, 540, 26956, 6361, 21351, 6386, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21579, 590, 2931, 21579, 590, 2931, 11339, 519, 11470, 20048, 1834, 585, 519, 9931, 9335, 4750, 543, 568, 513, 15713, 9375, 693, 7046, 16707, 12507, 628, 569, 269, 1261, 666, 581, 1336, 593, 12108, 7711, 21579, 318, 306, 2931, 454, 32292, 763, 9931, 9335, 4750, 763, 3284, 1108, 17079, 5526, 547, 723, 3787, 1084, 1864, 3267, 634, 3197, 685, 1199, 14591, 616, 1631, 10483, 676, 519, 1270, 15363, 1688, 342, 2590, 532, 827, 1422, 262, 19009, 14799, 2042, 32075, 543, 1422, 262, 20657, 611, 550, 21379, 1952, 1465, 32075, 3267, 594, 3055, 26865, 568, 24037, 547, 513, 5856, 945, 12346, 865, 1454, 593, 10444, 21599, 269, 594, 2356, 2253, 6004, 269, 595, 7342, 5069, 779, 2835, 12902, 1250, 4064, 693, 1010, 524, 1601, 564, 1540, 3197, 855, 9096, 873, 8499, 4465, 936, 267, 17134, 5896, 676, 519, 9059, 540, 519, 18340, 269, 2060, 4303, 267, 799, 7959, 1166, 2660, 543, 811, 3440, 16556, 676, 1459, 2283, 4850, 267, 1250, 25949, 2760, 24797, 563, 300, 12089, 763, 9931, 9335, 4750, 18250, 291, 1069, 2714, 7710, 971, 13112, 2456, 609, 11419, 543, 7156, 269, 4793, 878, 807, 779, 4555, 2141, 2132, 267, 609, 1390, 8417, 267, 547, 519, 1966, 540, 22556, 267, 799, 666, 2408, 538, 2169, 878, 762, 689, 1582, 29027, 610, 6071, 2703, 1006, 3267, 1452, 2502, 18759, 616, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7468, 2581, 518, 6361, 8862, 541, 15881, 2510, 257, 607, 851, 540, 834, 299, 25604, 14473, 23333, 28421, 16739, 1315, 23527, 1299, 21771, 1315, 2782, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10561, 24044, 13933, 538, 519, 4655, 1247, 593, 513, 9983, 3643, 547, 3162, 918, 867, 1993, 534, 1533, 269, 1261, 1767, 519, 2229, 1131, 3136, 547, 2377, 14417, 4914, 5351, 9859, 4724, 3162, 918, 867, 1993, 534, 267, 543, 519, 1152, 19493, 1569, 1131, 581, 998, 519, 20528, 3150, 4414, 595, 29266, 269, 1261, 1767, 602, 1310, 519, 1079, 22173, 24044, 13933, 267, 834, 1492, 3510, 786, 581, 12290, 593, 519, 2666, 8487, 347, 14630, 1475, 3725, 10964, 28896, 1475, 30025, 28896, 1475, 19547, 841, 2008, 347, 866, 20809, 476, 1001, 272, 1475, 274, 9676, 1475, 5611, 7166, 2008, 347, 1839, 20103, 1475, 1789, 7166, 1475, 333, 821, 1475, 289, 4861, 532, 540, 31111, 1230, 341, 1195, 2008, 347, 2918, 5988, 476, 1001, 273, 1475, 14085, 1475, 9873, 7166, 1475, 16920, 871, 593, 7952, 575, 28207, 2008, 347, 18550, 1475, 16348, 7166, 1475, 20813, 12787, 1063, 14408, 293, 543, 9501, 6369, 2008, 347, 1321, 268, 1724, 4989, 1475, 274, 7166, 1475, 8064, 7166, 1475, 288, 3387, 16640, 538, 519, 15142, 2008, 347, 19688, 1475, 272, 7166, 1475, 1724, 7166, 1475, 293, 18017, 538, 3798, 12456, 1794, 514, 2008, 347, 1428, 4989, 1475, 1839, 7166, 1475, 333, 821, 1475, 30025, 7001, 540, 631, 1872, 636, 2008, 347, 274, 5147, 1475, 333, 821, 1475, 1839, 7166, 2008, 347, 277, 5147, 1475, 333, 821, 1475, 279, 7166, 1475, 16920, 871, 593, 2229, 5996, 1195, 2008, 347, 2190, 5147, 1475, 2004, 7166, 1475, 333, 821, 1475, 16920, 871, 593, 808, 4932, 30280, 2008, 347, 1839, 4864, 1475, 1321, 7166, 1475, 333, 821, 1475, 293, 18017, 538, 5045, 540, 519, 2197, 2008, 347, 2918, 4864, 1475, 333, 821, 1475, 8618, 7166, 2008, 347, 277, 5181, 1475, 6507, 7166, 1475, 333, 821, 1475, 293, 18017, 538, 5045, 918, 867, 1993, 534, 2008, 347, 277, 5181, 1475, 3953, 7166, 1475, 8618, 7166, 7132, 476, 3393, 24767, 525, 1336, 1475, 293, 18017, 538, 674, 18553, 1858, 2008, 347, 278, 5181, 1475, 3953, 7166, 1475, 5952, 7166, 2008, 347, 736, 5181, 1475, 333, 821, 1475, 10037, 7980, 1475, 293, 18017, 538, 30709, 326, 515, 2008, 347, 1789, 5181, 1475, 3583, 7166, 1475, 9834, 7166, 1475, 289, 25114, 538, 21741, 527, 543, 1744, 836, 559, 18578, 2967, 2008, 347, 272, 476, 271, 551, 3426, 1475, 333, 821, 1475, 2420, 7166, 1475, 16920, 871, 593, 2229, 5996, 1195, 2008, 347, 1691, 5239, 1475, 333, 821, 1475, 2641, 7980, 543, 476, 278, 17740, 807, 7166, 1475, 289, 4490, 538, 3162, 918, 867, 1993, 534, 2008, 347, 19751, 1475, 1321, 7166, 1475, 333, 821, 1475, 3725, 10964, 4323, 538, 772, 7825, 1546, 3559, 756, 2008, 347, 2420, 5239, 1475, 333, 821, 1475, 277, 7166, 1475, 293, 18017, 1063, 9501, 299, 300, 9539, 543, 14408, 293, 2008, 347, 4029, 5239, 1475, 333, 821, 1475, 1789, 7166, 1475, 293, 18017, 1063, 9501, 299, 300, 9539, 543, 14408, 293, 2008, 347, 274, 5437, 1475, 278, 7166, 1475, 3583, 7166, 1475, 293, 18017, 1063, 9501, 299, 300, 9539, 543, 14408, 293, 2008, 347, 278, 5437, 1475, 274, 7166, 1475, 13893, 268, 14991, 7166, 1475, 293, 18017, 538, 3345, 918, 867, 1993, 534, 2008, 347, 279, 5437, 1475, 333, 821, 1475, 1015, 7166, 1475, 9915, 299, 300, 9539, 5605, 2313, 2008, 347, 280, 5437, 1475, 333, 821, 1475, 1911, 7166, 1475, 5141, 10449, 538, 654, 14508, 12653, 19207, 2008, 347, 1691, 5437, 1475, 333, 821, 1475, 2537, 7166, 1475, 293, 18017, 538, 7952, 3786, 538, 1325, 327, 580, 1515, 520, 2008, 347, 2537, 5437, 1475, 333, 821, 1475, 10695, 7166, 1475, 293, 18017, 538, 3798, 1714, 9539, 629, 336, 2008, 347, 276, 5412, 1475, 273, 7166, 1475, 333, 821, 1475, 6347, 293, 7001, 540, 4432, 268, 674, 553, 615, 2008, 347, 1015, 5412, 1475, 274, 7166, 1475, 2767, 7166, 1475, 293, 18017, 538, 667, 12245, 32634, 2008, 347, 1428, 5412, 1475, 333, 821, 1475, 1321, 7166, 2008, 347, 1428, 5412, 1475, 333, 821, 1475, 279, 7166, 1475, 291, 7371, 1393, 1063, 14408, 293, 7980, 2008, 347, 1704, 5412, 1475, 333, 821, 1475, 1240, 7166, 1475, 16920, 871, 593, 7952, 5996, 1195, 538, 28763, 330, 29422, 5984, 2008, 347, 1626, 5412, 1475, 333, 821, 1475, 2767, 7166, 1475, 310, 3994, 14408, 293, 513, 1009, 686, 651, 538, 21960, 808, 629, 518, 2008, 347, 866, 5412, 1475, 333, 821, 1475, 736, 7166, 1475, 3725, 10964, 4323, 593, 7952, 3490, 538, 8614, 10964, 9855, 2008, 347, 2537, 5412, 1475, 278, 7166, 1475, 3445, 7166, 1475, 289, 4490, 538, 717, 23383, 2008, 347, 2764, 5412, 1475, 273, 7166, 1475, 5325, 7166, 1475, 10521, 31111, 6285, 593, 14408, 293, 575, 1551, 11143, 538, 11023, 325, 584, 2008, 347, 278, 5130, 476, 1001, 274, 1475, 276, 7166, 1475, 3583, 7166, 1475, 293, 18017, 538, 6239, 11023, 325, 584, 2008, 347, 1724, 5130, 1475, 2004, 7166, 1475, 333, 821, 1475, 5141, 10449, 538, 3162, 918, 867, 1993, 534, 2008, 347, 1724, 5130, 1475, 273, 7166, 1475, 1839, 7166, 1475, 5141, 1662, 538, 5045, 11023, 325, 584, 2008, 347, 276, 5988, 1475, 276, 7166, 1475, 7367, 7166, 1475, 289, 4490, 538, 6239, 11023, 325, 584, 2008, 347, 277, 5988, 1475, 274, 7166, 1475, 11277, 7166, 1475, 3725, 10964, 23069, 540, 7952, 3490, 538, 6239, 11023, 325, 584, 2008, 347, 1556, 5988, 1475, 333, 821, 1475, 4375, 7166, 1475, 5141, 10449, 538, 6239, 11023, 325, 584, 2008, 347, 1724, 5988, 1475, 333, 821, 1475, 9262, 7166, 1475, 289, 4490, 538, 3162, 11023, 325, 584, 2008, 347, 866, 5988, 1475, 5780, 7166, 1475, 333, 821, 1475, 5141, 10449, 538, 918, 867, 1993, 534, 2008, 347, 2190, 5988, 1475, 333, 821, 1475, 1704, 7166, 1475, 5141, 1662, 538, 3345, 11023, 325, 584, 2008, 347, 276, 4728, 1475, 333, 821, 1475, 1839, 7166, 1475, 3725, 10964, 18086, 538, 3345, 11023, 325, 584, 2008, 347, 1556, 4728, 1475, 2412, 7166, 1475, 1626, 7166, 1475, 5141, 10449, 538, 9791, 20407, 2008, 347, 1691, 4728, 1475, 274, 7166, 1475, 18605, 7166, 1475, 5141, 10449, 538, 3162, 11023, 325, 584, 2008, 347, 1704, 4728, 1475, 1911, 7166, 543, 13676, 1475, 28236, 1475, 5141, 10449, 538, 3162, 11023, 325, 584, 2008, 347, 278, 4989, 1475, 13367, 531, 1475, 1911, 7166, 1475, 5141, 10449, 538, 5101, 11023, 325, 584, 2008, 347, 278, 4989, 1475, 333, 821, 1475, 1240, 7166, 1475, 16920, 1188, 593, 14408, 293, 575, 28207, 538, 3345, 11023, 325, 584, 2008, 347, 1724, 4989, 1475, 333, 821, 1475, 2412, 7166, 1475, 3725, 321, 1564, 1491, 3162, 11023, 325, 584, 3490, 2008, 347, 1428, 4989, 1475, 275, 7166, 1475, 1428, 7166, 1475, 3725, 321, 1564, 1491, 667, 663, 528, 575, 28207, 2008, 347, 1704, 4989, 1475, 333, 821, 1475, 1704, 7166, 1475, 3725, 321, 1564, 1491, 476, 273, 575, 28207, 2282, 27526, 8403, 2008, 347, 2641, 4989, 1475, 333, 821, 1475, 1911, 7166, 1475, 3725, 321, 1564, 4323, 693, 27526, 8403, 19633, 2008, 347, 2537, 4989, 1475, 276, 7166, 1475, 8660, 7166, 1475, 6347, 293, 11802, 538, 3162, 11023, 325, 584, 2008, 347, 9802, 1475, 333, 821, 1475, 2568, 7166, 1475, 5141, 10449, 538, 918, 867, 1993, 534, 2008, 347, 1321, 2904, 1475, 333, 821, 1475, 2710, 17899, 7166, 1475, 3725, 321, 1564, 6861, 513, 5996, 1195, 538, 918, 867, 1993, 534, 2008, 347, 1691, 2904, 1475, 4462, 3104, 1475, 30329, 7166, 1475, 294, 1478, 618, 8959, 18086, 538, 26512, 918, 1513, 3128, 320, 2008, 763, 2698, 568, 540, 476, 274, 267, 28242, 2229, 7980, 543, 476, 4792, 274, 30280, 7166, 269, 4107, 6176, 689, 15571, 667, 629, 18553, 563, 17220, 6547, 3097, 22296, 1440, 534, 1049, 14540, 3097, 268, 3979, 5742, 1107, 2201, 476, 3066, 4873, 267, 22847, 8189, 17348, 17367, 14639, 623, 532, 1572, 593, 1312, 5011, 538, 3162, 918, 867, 1993, 534, 834, 1729, 5612, 24044, 3984, 1988, 267, 547, 1450, 519, 1569, 540, 19493, 5351, 543, 519, 2132, 540, 19774, 1004, 257, 543, 688, 6150, 513, 24044, 13933, 6876, 607, 834, 20657, 529, 633, 257, 543, 834, 320, 1434, 522, 5443, 2668, 634, 22847, 267, 3366, 1101, 676, 5449, 3162, 3979, 5518, 774, 629, 334, 631, 2041, 7288, 543, 1287, 676, 15337, 1014, 11788, 10579, 631, 7062, 24789, 25596, 267, 13986, 547, 1199, 5573, 513, 3070, 547, 3395, 13253, 538, 9791, 20407, 267, 855, 621, 8959, 547, 2061, 519, 3262, 540, 519, 4655, 563, 268, 2136, 8315, 1107, 634, 2136, 8315, 8232, 7027, 20366, 593, 476, 274, 4873, 547, 3747, 602, 20528, 543, 8828, 20528, 11198, 10136, 689, 519, 589, 25742, 328, 9351, 269, 14199, 29731, 14465, 27411, 2173, 3019, 21350, 5367, 1489, 585, 3646, 547, 1439, 519, 4655, 538, 3735, 4873, 476, 1001, 272, 267, 6031, 593, 476, 3066, 4873, 602, 20528, 543, 519, 9501, 299, 300, 9539, 1590, 960, 3533, 585, 513, 29696, 540, 3984, 1988, 269, 589, 2136, 8315, 17030, 538, 519, 20528, 1480, 2924, 7634, 538, 4873, 543, 2038, 5147, 267, 1991, 547, 519, 5692, 781, 771, 7171, 618, 267, 1336, 602, 834, 1718, 655, 31766, 568, 13385, 257, 585, 519, 32012, 885, 621, 1767, 1185, 1044, 8149, 676, 519, 20528, 3150, 4108, 1282, 519, 8165, 267, 1519, 6285, 593, 6167, 300, 3041, 13646, 543, 10986, 267, 1498, 621, 849, 10404, 2213, 519, 9501, 299, 300, 585, 19374, 269, 769, 4864, 267, 519, 2136, 2276, 13986, 547, 22321, 519, 8232, 7027, 547, 1780, 513, 6571, 18149, 940, 519, 5208, 267, 855, 621, 729, 17808, 676, 20528, 3150, 16167, 6576, 543, 3624, 269, 2136, 8315, 4400, 30934, 585, 25083, 525, 4165, 11252, 1470, 717, 17458, 637, 15527, 547, 519, 12176, 540, 5208, 538, 9791, 20407, 538, 5181, 676, 6031, 1312, 5011, 1590, 960, 547, 2061, 834, 344, 564, 835, 811, 21345, 6433, 257, 538, 519, 3148, 269, 14465, 849, 6829, 6161, 936, 519, 5208, 563, 268, 3162, 20528, 1107, 2201, 476, 2420, 2904, 267, 3162, 20528, 3954, 6407, 519, 23069, 540, 589, 25742, 328, 607, 606, 834, 716, 540, 2112, 2668, 6176, 10579, 4446, 10109, 320, 3057, 658, 18148, 17792, 6811, 676, 519, 20528, 3150, 2229, 602, 808, 18866, 729, 5356, 1570, 1489, 547, 9501, 299, 300, 9539, 25881, 538, 519, 3345, 593, 476, 4029, 4864, 543, 7682, 539, 602, 519, 9501, 299, 300, 1185, 694, 30099, 782, 13218, 609, 519, 9501, 299, 300, 9539, 1310, 7115, 269, 1261, 6829, 6161, 693, 519, 5208, 538, 9791, 20407, 593, 476, 273, 5181, 543, 1572, 593, 519, 20528, 3150, 2229, 547, 10131, 513, 2407, 7634, 543, 14365, 712, 547, 2061, 519, 5208, 689, 10825, 563, 268, 2136, 2276, 1107, 11109, 28715, 519, 4108, 1491, 1478, 540, 589, 25742, 328, 593, 476, 2641, 4728, 267, 593, 476, 2420, 5147, 267, 19264, 26513, 547, 519, 2136, 8315, 19626, 19676, 15034, 519, 20528, 3150, 4108, 540, 10419, 7992, 1480, 2924, 19374, 538, 3162, 918, 867, 1993, 534, 269, 23134, 10370, 2006, 267, 519, 2475, 2027, 26195, 1195, 547, 20528, 267, 1767, 593, 476, 1015, 4864, 602, 6115, 729, 7255, 602, 8165, 1223, 3262, 547, 543, 4125, 9241, 4830, 3162, 20528, 563, 268, 5333, 268, 2201, 476, 2420, 2904, 476, 1001, 272, 267, 5333, 28715, 519, 4108, 1491, 1478, 543, 18796, 513, 20528, 3150, 15639, 689, 589, 25742, 328, 269, 5333, 11130, 602, 20528, 781, 3527, 27648, 513, 18670, 540, 476, 1220, 276, 4708, 6876, 543, 540, 519, 918, 611, 1872, 2993, 6452, 867, 9896, 538, 5130, 267, 543, 602, 519, 4655, 1058, 581, 25358, 676, 519, 3979, 5742, 563, 268, 4516, 268, 2201, 476, 2537, 2904, 476, 1001, 272, 267, 519, 4516, 781, 14579, 16457, 10579, 267, 3627, 645, 1515, 323, 267, 28715, 519, 834, 516, 1417, 22705, 25973, 540, 5208, 538, 589, 25742, 328, 2668, 4516, 1572, 585, 606, 7525, 15639, 676, 1312, 5011, 267, 2463, 585, 1480, 2924, 543, 21084, 540, 2417, 15583, 566, 269, 645, 1515, 323, 3773, 602, 646, 12479, 834, 301, 4899, 543, 8828, 20528, 257, 1131, 1312, 834, 655, 3630, 576, 519, 4316, 6488, 539, 676, 519, 3979, 5742, 4400, 30071, 767, 23840, 19937, 547, 8207, 519, 4567, 540, 589, 25742, 328, 543, 824, 14222, 2152, 8487, 268, 2136, 8003, 268, 2201, 476, 2420, 2904, 476, 1001, 272, 267, 14579, 14199, 5261, 670, 6558, 28715, 519, 5208, 267, 6031, 602, 519, 3527, 941, 834, 27234, 19374, 540, 519, 595, 5183, 543, 3112, 581, 20582, 257, 543, 10912, 585, 834, 718, 5011, 547, 24044, 3984, 1988, 5612, 269, 2353, 796, 10461, 2213, 4229, 1058, 581, 32585, 689, 519, 3003, 1858, 540, 589, 25742, 328, 538, 13076, 609, 2250, 11650, 676, 519, 6105, 1701, 3097, 1103, 2904 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10674, 2517, 4178, 28482, 611, 655, 1157, 1749, 2593, 270, 1890, 743, 31638, 27651, 21703, 270, 2304, 6605, 1108, 994, 1892, 13188, 1109, 263, 10674, 2517, 4178, 28482, 611, 655, 1157, 1749, 2593, 270, 1890, 743, 31638, 27651, 21703, 27582, 21643, 994, 1892, 6554, 1109, 263, 10674, 2517, 4178, 28482, 611, 655, 1157, 1749, 2593, 270, 1890, 743, 31638, 27651, 21703, 27798, 17922, 994, 1892, 15215, 1109, 263, 10674, 2517, 4178, 28482, 611, 655, 1157, 1749, 2593, 270, 1890, 743, 31638, 27651, 21703, 270, 9824, 580, 542, 994, 1892, 32733, 1109, 263, 10674, 2517, 4178, 28482, 611, 655, 1157, 1749, 2593, 270, 1890, 743, 31638, 27651, 21703, 26260, 565, 12156, 994, 1892, 6611, 543, 18395, 454, 1892, 9891, 3590, 1109, 263, 10674, 2517, 4178, 28482, 611, 655, 1157, 1749, 2593, 270, 1890, 743, 31638, 27651, 21703, 13478, 6897, 318, 21902, 994, 1892, 4643, 1115, 1109, 263, 10674, 2517, 4178, 28482, 611, 655, 1157, 1749, 2593, 270, 1890, 743, 31638, 27651, 21703, 270, 23945, 1115, 994, 1892, 11846, 1109, 263, 10674, 2517, 4178, 28482, 611, 655, 1157, 1749, 2593, 270, 1890, 743, 31638, 27651, 21703, 13478, 7964, 994, 1892, 7033, 3894, 1109, 263, 10674, 2517, 4178, 28482, 611, 655, 1157, 1749, 2593, 270, 1890, 743, 31638, 27651, 21703, 20081, 574, 3894, 994, 1892, 16661, 1109, 263, 10674, 2517, 4178, 28482, 611, 655, 1157, 1749, 2593, 270, 1890, 743, 31638, 27651, 21703, 270, 2171, 1430, 994, 1892, 2475, 2276, 1109, 263, 10674, 2517, 4178, 28482, 611, 655, 1157, 1749, 2593, 270, 1890, 743, 31638, 27651, 21703, 270, 4785, 318, 1805, 919, 2020, 22033, 692, 1892, 5851, 8525, 1109, 263, 10674, 2517, 659, 611, 655, 1157, 1749, 2593, 270, 1890, 743, 31638, 27651, 21703, 994, 1892, 13555, 2974, 1109, 263, 10674, 2517, 4178, 28482, 611, 655, 1157, 1749, 2593, 270, 1890, 743, 31638, 27651, 21703, 270, 23086, 639, 2020, 1892, 1849, 760, 3203, 1109, 263, 10674, 2517, 5035, 3336, 743, 760, 691, 2593, 264, 0, 258, 11819, 781, 12754, 3883, 476, 273, 15005, 692, 1892, 7348, 454, 28803, 692, 1892, 21145, 692, 1012, 26671, 692, 21615, 539, 12025, 630, 29210, 2020, 2162, 7956, 540, 11819, 781, 12754, 3883, 476, 273, 15005, 692, 1892, 476, 272, 692, 27645, 12754, 15015, 692, 1892, 12937, 692, 11854, 6900, 19019, 531, 1315, 9752, 20505, 476, 18927, 18927, 18927, 9982, 2807, 17488, 692, 7093, 2183, 476, 18927, 18927, 18927, 18927, 18927, 5541, 27401, 1862, 1535, 3495, 328, 692, 6637, 476, 272, 281, 5556, 745, 775, 543, 5381, 640, 476, 18927, 18927, 18927, 9982, 5541, 2807, 272, 692, 6637, 476, 273, 281, 6034, 543, 769, 2091, 1160, 15251, 476, 18927, 18927, 18927, 9982, 1862, 476, 866, 692, 6637, 476, 274, 281, 28841, 543, 16748, 5314, 540, 10789, 545, 25285, 476, 18927, 18927, 5541, 907, 476, 2764, 692, 6637, 476, 275, 281, 10789, 545, 28294, 1637, 543, 4813, 27909, 476, 18927, 18927, 18927, 32465, 476, 4375, 692, 6637, 476, 276, 281, 30027, 748, 12430, 12307, 476, 18927, 18927, 18927, 9982, 907, 476, 7906, 692, 6637, 476, 277, 281, 19456, 23768, 14497, 476, 18927, 18927, 18927, 18927, 1862, 476, 6795, 692, 6637, 476, 278, 281, 11730, 543, 17183, 9351, 476, 18927, 18927, 18927, 9982, 5541, 1862, 476, 6858, 692, 6637, 476, 279, 281, 28977, 540, 12430, 12307, 538, 5565, 1133, 3104, 985, 476, 18927, 18927, 9982, 27401, 476, 8064, 692, 6637, 476, 280, 281, 28977, 540, 28065, 12793, 476, 18927, 18927, 18927, 9982, 907, 476, 10436, 692, 6637, 476, 1015, 281, 5590, 5678, 543, 3502, 566, 476, 18927, 18927, 18927, 9982, 27401, 1862, 476, 7176, 692, 6637, 476, 1556, 281, 10803, 476, 18927, 18927, 18927, 18927, 9982, 2807, 1862, 476, 11820, 692, 6637, 476, 1321, 281, 17438, 476, 18927, 18927, 18927, 18927, 9982, 1862, 476, 14862, 692, 13839, 692, 1892, 17488, 692, 25582, 13445, 16930, 19019, 531, 20505, 20113, 13174, 9442, 13043, 338, 692, 20059, 12720, 19370, 14572, 17252, 8668, 8249, 692, 28350, 476, 272, 692, 2171, 4060, 272, 267, 476, 273, 267, 543, 476, 274, 692, 6637, 476, 272, 692, 17812, 745, 775, 543, 5381, 640, 692, 26368, 21412, 5515, 543, 3615, 282, 946, 519, 2953, 711, 725, 547, 2769, 17602, 1890, 780, 8340, 7164, 2418, 538, 513, 6292, 540, 21412, 5515, 269, 10576, 2147, 5515, 543, 3615, 282, 946, 519, 2953, 711, 725, 547, 2769, 692, 13678, 1791, 640, 269, 3557, 519, 3601, 540, 513, 6292, 540, 2147, 5515, 282, 946, 891, 3601, 547, 1265, 519, 692, 684, 3104, 985, 538, 513, 6292, 540, 2147, 5515, 269, 2422, 16726, 3601, 547, 1118, 4336, 12400, 540, 2241, 3615, 610, 4025, 971, 692, 553, 513, 2361, 610, 513, 1153, 10689, 269, 12433, 519, 4890, 3259, 543, 519, 4890, 1858, 689, 513, 2016, 4336, 2203, 543, 13030, 692, 951, 320, 269, 18124, 519, 4336, 540, 513, 4786, 607, 513, 11347, 6824, 543, 13030, 17930, 282, 946, 621, 547, 692, 20412, 622, 519, 3845, 1063, 1079, 4025, 269, 12433, 519, 4890, 7516, 540, 513, 1747, 593, 513, 4786, 267, 543, 13030, 17930, 269, 12433, 519, 4890, 1858, 540, 513, 1747, 971, 607, 513, 6288, 267, 513, 14252, 267, 3092, 1421, 593, 513, 4786, 267, 543, 692, 341, 823, 17930, 269, 16534, 4786, 2042, 5473, 3845, 543, 1858, 540, 513, 1747, 780, 272, 320, 692, 272, 320, 272, 321, 692, 272, 321, 692, 272, 322, 692, 303, 326, 476, 275, 281, 1548, 824, 2713, 1806, 616, 972, 1472, 596, 602, 616, 2147, 610, 21412, 2496, 303, 326, 476, 1556, 267, 476, 1428, 623, 326, 476, 274, 267, 476, 736, 267, 476, 2641, 30930, 692, 28350, 476, 272, 692, 2171, 4060, 275, 543, 476, 276, 692, 6637, 476, 273, 692, 17445, 543, 769, 2091, 1160, 15251, 692, 2237, 1524, 606, 3830, 8220, 1079, 9424, 799, 616, 2047, 14354, 547, 1142, 824, 282, 946, 519, 4341, 547, 4194, 2042, 5473, 1463, 8167, 780, 306, 8208, 577, 519, 3113, 8220, 1079, 9424, 799, 616, 2047, 14354, 547, 1142, 824, 780, 2237, 1524, 606, 3830, 8220, 1079, 9424, 799, 616, 11201, 569, 14354, 547, 1142, 824, 282, 946, 519, 4341, 547, 4194, 2042, 5473, 11201, 8167, 780, 306, 8208, 577, 519, 3113, 8220, 1079, 9424, 799, 616, 11201, 569, 14354, 547, 1142, 824, 780, 24169, 2241, 2042, 5473, 1463, 610, 11201, 17114, 780, 273, 320, 692, 273, 321, 267, 476, 273, 322, 692, 273, 323, 267, 476, 273, 324, 267, 476, 273, 325, 692, 303, 326, 476, 4391, 281, 17327, 4901, 827, 519, 991, 585, 3652, 950, 1210, 519, 5399, 269, 1548, 1007, 3652, 1131, 581, 3730, 585, 513, 811, 2500, 946, 540, 519, 5399, 2496, 303, 326, 476, 4366, 267, 476, 7871, 267, 476, 8618, 623, 326, 476, 6812, 267, 476, 5780, 30930, 692, 28350, 476, 272, 692, 2171, 4060, 276, 267, 476, 277, 267, 476, 278, 267, 543, 476, 279, 692, 6637, 476, 274, 692, 22091, 6416, 543, 16748, 5314, 540, 10789, 545, 25285, 692, 8110, 845, 7269, 540, 15821, 7215, 540, 519, 1106, 630, 320, 536, 7565, 322, 546, 264, 543, 630, 320, 536, 7565, 322, 546, 552, 6393, 13750, 519, 9163, 585, 519, 7269, 540, 3501, 10945, 630, 320, 536, 264, 273, 267, 543, 519, 7269, 540, 630, 320, 1341, 536, 7565, 320, 536, 6393, 8110, 845, 20073, 687, 540, 15821, 7215, 1210, 519, 3652, 1657, 269, 21414, 10230, 7215, 1210, 519, 9163, 19927, 4505, 269, 16748, 1047, 15821, 7215, 676, 16116, 856, 519, 1455, 3815, 269, 16748, 1047, 7215, 1210, 519, 15821, 9163, 5473, 3501, 10945, 543, 692, 18528, 2397, 540, 10945, 19927, 4505, 269, 21414, 10230, 7215, 1210, 3815, 5314, 269, 16748, 1047, 13392, 7215, 269, 16534, 13392, 4834, 676, 3815, 5314, 269, 18124, 2262, 2042, 538, 519, 1106, 540, 13392, 3830, 282, 4194, 891, 2042, 692, 2421, 3815, 5314, 780, 274, 321, 692, 274, 322, 274, 322, 274, 323, 274, 324, 692, 274, 324, 274, 325, 274, 326, 274, 327, 692, 303, 326, 476, 10019, 281, 4855, 856, 811, 827, 623, 26696, 21121, 1210, 519, 5769, 780, 303, 326, 476, 10619, 267, 476, 1911, 267, 476, 9818, 267, 476, 13040, 692, 17806, 1504, 692, 1892, 642, 692, 25582, 13445, 16930, 19019, 531, 20505, 20113, 13174, 9442, 13043, 338, 692, 20059, 12720, 19370, 14572, 17252, 8668, 8249, 692, 28350, 476, 272, 692, 2171, 4060, 272, 267, 476, 273, 267, 543, 476, 274, 692, 6637, 476, 272, 692, 17812, 745, 775, 543, 5381, 640, 692, 26368, 21412, 5515, 543, 3615, 282, 946, 519, 2953, 711, 725, 547, 2769, 17602, 1890, 780, 8340, 7164, 2418, 538, 513, 6292, 540, 21412, 5515, 269, 10576, 2147, 5515, 543, 3615, 282, 946, 519, 2953, 711, 725, 547, 2769, 692, 13678, 1791, 640, 269, 3557, 519, 3601, 540, 513, 6292, 540, 2147, 5515, 282, 946, 891, 3601, 547, 1265, 519, 692, 684, 3104, 985, 538, 513, 6292, 540, 2147, 5515, 269, 2422, 16726, 3601, 547, 1118, 4336, 12400, 540, 2241, 3615, 610, 4025, 971, 692, 553, 513, 2361, 610, 513, 1153, 10689, 269, 12433, 519, 4890, 3259, 543, 519, 4890, 1858, 689, 513, 2016, 4336, 2203, 543, 13030, 692, 951, 320, 269, 18124, 519, 4336, 540, 513, 4786, 607, 513, 11347, 6824, 543, 13030, 17930, 282, 946, 621, 547, 692, 20412, 622, 519, 3845, 1063, 1079, 4025, 269, 12433, 519, 4890, 7516, 540, 513, 1747, 593, 513, 4786, 267, 543, 13030, 17930, 269, 12433, 519, 4890, 1858, 540, 513, 1747, 971, 607, 513, 6288, 267, 513, 14252, 267, 3092, 1421, 593, 513, 4786, 267, 543, 692, 341, 823, 17930, 269, 16534, 4786, 2042, 5473, 3845, 543, 1858, 540, 513, 1747, 780, 272, 320, 692, 272, 320, 272, 321, 692, 272, 321, 692, 272, 322, 692, 303, 326, 476, 275, 281, 1548, 824, 2713, 1806, 616, 972, 1472, 596, 602, 616, 2147, 610, 21412, 2496, 303, 326, 476, 1556, 267, 476, 1428, 623, 326, 476, 274, 267, 476, 736, 267, 476, 2641, 30930, 692, 28350, 476, 272, 692, 2171, 4060, 275, 543, 476, 276, 692, 6637, 476, 273, 692, 17445, 543, 769, 2091, 1160, 15251, 692, 2237, 1524, 606, 3830, 8220, 1079, 9424, 799, 616, 2047, 14354, 547, 1142, 824, 282, 946, 519, 4341, 547, 4194, 2042, 5473, 1463, 8167, 780, 306, 8208, 577, 519, 3113, 8220, 1079, 9424, 799, 616, 2047, 14354, 547, 1142, 824, 780, 2237, 1524, 606, 3830, 8220, 1079, 9424, 799, 616, 11201, 569, 14354, 547, 1142, 824, 282, 946, 519, 4341, 547, 4194, 2042, 5473, 11201, 8167, 780, 306, 8208, 577, 519, 3113, 8220, 1079, 9424, 799, 616, 11201, 569, 14354, 547, 1142, 824, 780, 24169, 2241, 2042, 5473, 1463, 610, 11201, 17114, 780, 273, 320, 692, 273, 321, 267, 476, 273, 322, 692, 273, 323, 267, 476, 273, 324, 267, 476, 273, 325, 692, 303, 326, 476, 4391, 281, 17327, 4901, 827, 519, 991, 585, 3652, 950, 1210, 519, 5399, 269, 1548, 1007, 3652, 1131, 581, 3730, 585, 513, 811, 2500, 946, 540, 519, 5399, 2496, 303, 326, 476, 4366, 267, 476, 7871, 267, 476, 8618, 623, 326, 476, 6812, 267, 476, 5780, 30930, 692, 28350, 476, 272, 692, 2171, 4060, 276, 267, 476, 277, 267, 476, 278, 267, 543, 476, 279, 692, 6637, 476, 274, 692, 22091, 6416, 543, 16748, 5314, 540, 10789, 545, 25285, 692, 8110, 845, 7269, 540, 15821, 7215, 540, 519, 1106, 630, 320, 536, 7565, 322, 546, 264, 543, 630, 320, 536, 7565, 322, 546, 552, 6393, 13750, 519, 9163, 585, 519, 7269, 540, 3501, 10945, 630, 320, 536, 264, 273, 267, 543, 519, 7269, 540, 630, 320, 1341, 536, 7565, 320, 536, 6393, 8110, 845, 20073, 687, 540, 15821, 7215, 1210, 519, 3652, 1657, 269, 21414, 10230, 7215, 1210, 519, 9163, 19927, 4505, 269, 16748, 1047, 15821, 7215, 676, 16116, 856, 519, 1455, 3815, 269, 16748, 1047, 7215, 1210, 519, 15821, 9163, 5473, 3501, 10945, 543, 692, 18528, 2397, 540, 10945, 19927, 4505, 269, 21414, 10230, 7215, 1210, 3815, 5314, 269, 16748, 1047, 13392, 7215, 269, 16534, 13392, 4834, 676, 3815, 5314, 269, 18124, 2262, 2042, 538, 519, 1106, 540, 13392, 3830, 282, 4194, 891, 2042, 692, 2421, 3815, 5314, 780, 274, 321, 692, 274, 322, 274, 322, 274, 323, 274, 324, 692, 274, 324, 274, 325, 274, 326, 274, 327, 692, 303, 326, 476, 10019, 281, 4855, 856, 811, 827, 623, 26696, 21121, 1210, 519, 5769, 780, 303, 326, 476, 10619, 267, 476, 1911, 267, 476, 9818, 267, 476, 13040, 692, 17806, 1504, 692, 1892, 19274, 692, 25582, 13445, 16930, 19019, 531, 20505, 20113, 13174, 9442, 13043, 338, 692, 20059, 12720, 19370, 14572, 17252 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4523, 547, 2196, 540, 2230, 543, 8754, 6238, 538, 513, 1007, 1899, 563, 16430, 7470, 568, 513, 4183, 540, 22898, 20487, 602, 2636, 938, 11768, 6221, 607, 7470, 593, 938, 2985, 269, 22898, 7470, 568, 827, 1079, 8820, 17568, 1141, 649, 1205, 9343, 543, 9587, 269, 2060, 519, 7470, 267, 649, 2731, 5581, 513, 11768, 602, 3568, 9343, 543, 3688, 282, 4061, 267, 621, 5654, 519, 1259, 649, 1616, 621, 547, 1413, 563, 293, 2716, 7901, 568, 513, 835, 8820, 11768, 1062, 602, 649, 666, 946, 547, 1711, 513, 4737, 610, 513, 6241, 7852, 11768, 269, 1635, 1210, 21253, 7901, 267, 649, 666, 1711, 8465, 543, 13261, 29282, 602, 4431, 547, 1114, 5496, 7306, 543, 3457, 563, 2690, 21253, 7901, 267, 649, 723, 547, 4019, 519, 1739, 3601, 547, 519, 8708, 912, 268, 4159, 281, 4827, 282, 9847, 1280, 1818, 8708, 4827, 7901, 454, 268, 21253, 1673, 3925, 281, 4737, 282, 610, 4827, 1673, 3925, 281, 6241, 282, 9847, 901, 11225, 602, 519, 2609, 616, 9788, 856, 538, 513, 4737, 610, 538, 519, 6241, 563, 268, 3807, 1518, 9762, 550, 281, 4827, 3613, 691, 282, 9847, 1284, 666, 946, 713, 3959, 547, 3035, 1114, 12972, 540, 2609, 269, 933, 666, 946, 1585, 2418, 547, 5447, 2609, 899, 2387, 325, 2716, 3613, 691, 12452, 2387, 325, 2716, 15134, 12452, 2387, 22487, 12452, 2387, 11898, 1532, 15277, 12452, 3092, 454, 16430, 25373, 568, 1634, 607, 519, 1034, 3532, 11768, 1062, 269, 769, 713, 267, 649, 666, 960, 609, 9343, 543, 9587, 1927, 269, 589, 2603, 540, 1114, 7399, 547, 1628, 811, 1950, 543, 6896, 1374, 1949, 616, 8118, 676, 621, 563, 2690, 7470, 8708, 267, 596, 723, 547, 5581, 4159, 281, 7470, 3959, 563, 294, 5090, 568, 3730, 585, 476, 273, 8820, 29282, 609, 1950, 12417, 543, 814, 513, 1390, 1198, 593, 3693, 17568, 267, 6466, 21253, 7901, 568, 3730, 585, 476, 272, 8820, 29282, 543, 814, 1434, 1852, 936, 19437, 543, 12972, 269, 1284, 666, 946, 1312, 21253, 7901, 543, 25373, 1927, 547, 1711, 5714, 543, 17841, 29282, 676, 1210, 519, 4222, 540, 1312, 29282, 269, 0, 310, 790, 1652, 11576, 832, 616, 3457, 602, 3713, 267, 2268, 543, 10141, 1239, 5911, 8393, 998, 5925, 6329, 610, 5121, 269, 1358, 666, 581, 1031, 547, 3713, 513, 2039, 540, 4162, 538, 519, 2168, 610, 3059, 1158, 267, 689, 5163, 7020, 267, 547, 2837, 5464, 543, 6211, 7613, 269, 1323, 5769, 540, 12085, 630, 31166, 264, 23910, 6272, 543, 13976, 3435, 609, 891, 12616, 8596, 267, 2870, 2189, 3435, 585, 7218, 563, 1607, 1826, 540, 2029, 11573, 1137, 519, 1239, 543, 4276, 7207, 540, 606, 14164, 1604, 547, 1711, 3457, 7175, 3156, 267, 2472, 543, 2533, 711, 2009, 1354, 269, 14164, 19296, 1374, 2565, 3334, 4180, 10727, 267, 3354, 543, 25382, 538, 519, 3926, 779, 8800, 267, 5121, 543, 1239, 12642, 3889, 563, 2080, 781, 930, 3785, 602, 938, 4274, 14164, 23910, 1500, 1483, 912, 268, 22034, 5163, 8596, 547, 3095, 609, 6531, 11837, 5867, 454, 268, 12861, 5150, 2792, 1063, 20798, 30594, 543, 715, 27184, 2190, 331, 4905, 13838, 454, 268, 9198, 908, 3782, 12616, 9300, 5121, 609, 8476, 23332, 7014, 543, 3354, 454, 268, 27588, 3435, 1472, 661, 9915, 3953, 1949, 609, 1585, 8596, 454, 268, 11120, 22626, 1239, 5385, 998, 12616, 13033, 13123, 454, 268, 20074, 3642, 1565, 7207, 883, 12616, 15392, 1949, 454, 1103, 9759, 267, 891, 2010, 540, 3785, 2154, 606, 14164, 23910, 609, 519, 5876, 547, 1628, 519, 2556, 2645, 1247, 1620, 519, 10848, 3238, 538, 8888, 6325, 5907, 3334, 543, 3060, 2533, 269, 1635, 17849, 513, 11285, 593, 6154, 601, 22083, 2593, 596, 3580, 581, 2111, 547, 3142, 707, 1788, 1523, 547, 4641, 609, 513, 3318, 945, 17358, 713, 2029, 779, 1202, 7146, 268, 8083, 269, 1284, 16436, 596, 547, 2022, 513, 1788, 593, 6154, 601, 22083, 2593, 543, 16926, 606, 4810, 14164, 23910, 2221, 256, 307, 12782, 360, 476, 276, 267, 271, 3583, 562, 327, 17554, 511, 333, 1535, 18863, 267, 524, 5451, 322, 737, 327, 5451, 577, 554, 14504, 978, 17487, 495, 13168, 17487, 495, 17505, 327, 19819, 5451, 14164, 19296, 476, 275, 269, 11025, 959, 17845, 333, 476, 276, 1094, 334, 563, 1320, 340, 17845, 14164, 19296, 454, 296, 993, 3168, 585, 606, 4810, 20798, 11653, 547, 4217, 803, 609, 1250, 2011, 2298, 9300, 1788, 269, 16930, 4170, 281, 910, 594, 991, 2576, 2111, 547, 598, 624, 513, 631, 273, 269, 276, 2011, 2298, 9300, 547, 606, 818, 18003, 910, 901, 818, 18003, 849, 2115, 547, 581, 598, 624, 539, 547, 513, 3366, 1769, 14816, 602, 1131, 4960, 4470, 593, 519, 2011, 2298, 2157, 26758, 1983, 543, 1995, 281, 910, 16200, 1702, 543, 1995, 609, 20798, 5752, 543, 1646, 910, 15232, 609, 9300, 5610, 543, 1239, 4393, 910, 19361, 640, 609, 2011, 2298, 5464, 543, 6482, 2553, 910, 19361, 640, 609, 27439, 1769, 598, 624, 539, 547, 818, 18003, 7033, 5202, 281, 910, 634, 1788, 1058, 581, 6192, 1369, 1614, 4374, 1315, 513, 3923, 1403, 596, 723, 519, 2556, 1983, 543, 1995, 267, 543, 616, 5461, 538, 2324, 593, 713, 1788, 267, 5225, 10505, 707, 11556, 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 ]
[ 4200, 24246, 13242, 281, 609, 513, 3044, 11539, 540, 1269, 273, 269, 27511, 281, 10323, 540, 3017, 1326, 596, 1055, 547, 513, 1390, 1376, 256, 4131, 781, 2161, 649, 723, 513, 454, 1729, 7447, 519, 3044, 5470, 269, 1924, 519, 13065, 540, 519, 3017, 540, 1797, 3044, 1250, 3135, 540, 513, 1852, 1895, 609, 519, 1611, 540, 606, 8097, 1895, 269, 12337, 9208, 18438, 2986, 634, 6399, 1284, 616, 2324, 609, 982, 6015, 11996, 267, 865, 2398, 1143, 5359, 1312, 269, 2353, 3044, 2436, 596, 960, 2047, 609, 6151, 8464, 610, 1990, 1606, 13990, 563, 4002, 513, 13387, 1449, 267, 519, 3732, 689, 1153, 589, 814, 568, 3989, 585, 721, 538, 519, 1966, 269, 1452, 12596, 267, 799, 1058, 1152, 581, 898, 5470, 6015, 1377, 563, 296, 1810, 1405, 1174, 2943, 1070, 972, 616, 824, 3681, 630, 3697, 519, 11667, 1040, 9208, 18438, 2986, 16338, 9502, 29626, 519, 1611, 3017, 568, 2653, 607, 2650, 267, 855, 1775, 849, 1616, 513, 2268, 3017, 476, 274, 269, 8618, 324, 268, 277, 267, 15254, 6025, 6851, 264, 815, 476, 276, 269, 4905, 324, 268, 6187, 9950, 323, 2072, 8266, 12313, 281, 1269, 1240, 269, 4200, 24246, 13242, 281, 1269, 271, 269, 1321, 24246, 454, 2171, 946, 519, 3732, 1284, 946, 519, 3732, 13028, 2859, 7612, 1492, 1611, 540, 519, 3732, 689, 15661, 476, 273, 676, 476, 276, 610, 811, 568, 476, 271, 269, 280, 4097, 7868, 3044, 5470, 540, 519, 1611, 3017, 568, 519, 454, 288, 6093, 1383, 568, 606, 4603, 2966, 547, 5635, 519, 1611, 3017, 17968, 267, 649, 1223, 723, 5249, 609, 1990, 1606, 13990, 630, 6518, 723, 9208, 18438, 2986, 16338, 9737, 5565, 1160, 1636, 687, 8074, 281, 15254, 263, 821, 264, 815, 676, 519, 3732, 18802, 1341, 14345, 540, 5470, 269, 1280, 13418, 267, 649, 10956, 8063, 618, 25389, 713, 2783, 563, 2690, 2021, 267, 621, 729, 1269, 1428, 267, 19587, 568, 281, 634, 10386, 3892, 568, 3254, 538, 7612, 476, 272, 7868, 3044, 5470, 568, 606, 7447, 540, 519, 519, 2612, 1878, 14263, 4775, 2612, 1878, 264, 1373, 476, 274, 610, 1447, 568, 827, 476, 271, 269, 271, 3374, 269, 2007, 713, 5470, 3732, 1797, 568, 3160, 547, 519, 3017, 1063, 2551, 1797, 563, 23086, 2974, 1923, 21041, 1923, 1699, 2146, 5816, 10004, 9061, 4406, 573, 730, 9061, 4475, 267, 519, 476, 4200, 260, 6015, 8884, 568, 1269, 276, 5227, 596, 1224, 5470, 815, 476, 272, 269, 278, 2608, 476, 3953, 269, 10619, 815, 476, 4649, 269, 5780, 10410, 1518, 519, 6015, 8884, 12991, 517, 11383, 621, 568, 711, 21016, 576, 22133, 602, 519, 6690, 262, 875, 14345, 540, 5470, 563, 290, 5255, 3757, 24246, 13242, 281, 1269, 1321, 269, 5038, 24246, 1715, 281, 1269, 2735, 269, 4343, 2316, 268, 10695, 634, 31941, 338, 631, 272, 910, 631, 273, 5815, 602, 621, 568, 519, 763, 7352, 1464, 540, 519, 16338, 9737, 12726, 31283, 1677, 4020, 513, 6015, 3017, 7612, 1590, 581, 4830, 563, 4310, 547, 12337, 519, 14345, 540, 5470, 7868, 1883, 3268, 9578, 8641, 532, 18185, 1280, 667, 27186, 290, 269, 634, 3044, 5470, 585, 519, 3017, 1063, 1079, 1797, 9208, 18438, 2986, 634, 16338, 769, 12726, 31283, 18185, 711, 18613, 1022, 2493, 526, 731, 11539, 602, 594, 917, 7868, 10386, 3892, 540, 519, 3017, 1063, 3732, 1797, 814, 7126, 27616, 563, 307, 1410, 553, 29698, 30263, 9539, 4944, 790, 595, 311, 8641, 532, 18185, 8266, 12313, 281, 1269, 13679, 269, 876, 24246, 13242, 281, 1269, 8660, 269, 4200, 24246, 1715, 281, 1269, 9873, 269, 6187, 7343, 28508, 585, 1402, 936, 547, 891, 16921, 1341, 1269, 271, 269, 4343, 282, 602, 568, 267, 1269, 275, 269, 7830, 547, 1269, 276, 269, 4343, 269, 26368, 513, 5291, 2517, 517, 4802, 652, 520, 1504, 2593, 270, 273, 4882, 600, 7204, 5091, 626, 1026, 1903, 4882, 600, 7204, 23251, 5091, 858, 318, 1889, 753, 11258, 476, 13679, 543, 519, 13065, 568, 476, 5038, 269, 547, 645, 7868, 2039, 540, 519, 6015, 8884, 568, 3989, 732, 3254, 2630, 563, 26368, 513, 3017, 1063, 1079, 4830, 2516, 269, 6341, 7204, 17392, 540, 16338, 6399, 16338, 18185, 7535, 539, 610, 5094, 9193, 11065, 12864, 824, 2055, 28562, 3044, 11546, 341, 2747, 20598, 5470, 269, 4913, 267, 649, 616, 2356, 1210, 3732, 1239, 454, 4517, 519, 10462, 568, 529, 606, 7447, 540, 519, 3044, 11539, 540, 519, 3017, 1063, 3732, 1797, 7868, 2039, 540, 519, 6015, 8884, 568, 3989, 1103, 513, 18487, 5619, 267, 15475, 476, 1911, 529, 3152, 982, 519, 10462, 538, 2901, 1611, 7868, 2039, 540, 519, 6015, 8884, 568, 3989, 3017, 1118, 606, 1858, 540, 2244, 581, 3015, 1152, 693, 1978, 2053, 540, 519, 1032, 888, 2419, 766, 267, 1775, 2219, 827, 713, 3044, 5470, 540, 602, 3017, 7868, 4737, 13042, 1412, 18528, 2397, 1063, 1797, 262, 2982, 1175, 602, 281, 634, 3017, 1966, 568, 4570, 950, 519, 1739, 2175, 616, 1558, 269, 769, 824, 1913, 267, 1018, 568, 519, 5506, 602, 519, 1611, 4463, 9208, 18438, 2986, 12726, 6399, 16754, 8191, 10500, 8270, 725, 476, 274, 563, 10000, 8917, 476, 274, 1524, 8917, 5172, 594, 993, 4881, 606, 4603, 1141, 594, 1871, 267, 649, 1491, 891, 3268, 269, 1284, 946, 519, 3732, 1083, 1734, 320, 476, 3445, 260, 6015, 1377, 7868, 3070, 3322, 1614, 610, 2185, 3268, 267, 4470, 593, 568, 476, 13679, 910, 476, 11260, 815, 910, 1015, 269, 1548, 568, 519, 5506, 602, 519, 1611, 540, 519, 476, 1015, 2818, 540, 15661, 476, 272, 514, 513, 2551, 568, 476, 4097, 543, 519, 1611, 540, 476, 1015, 4458, 29419, 568, 476, 1839, 563, 11854, 322, 1518, 519, 595, 269, 8074, 281, 769, 1483, 8996, 9382, 267, 519, 3044, 634, 1966, 2829, 602, 1449, 8464, 538, 1142, 2551, 616, 7363, 6480, 13846, 9208, 18438, 1280, 634, 12726, 6399, 16338, 16754, 547, 13575, 267, 519, 10386, 3892, 786, 581, 5111, 7363, 7856, 765, 660, 334, 1448, 547, 22265, 4704, 827, 7535, 539, 12676, 9819, 267, 19610, 5288, 563, 3383, 519, 10323, 540, 519, 3017, 568, 3152, 1247, 519, 1611, 4463, 540, 15661, 476, 273, 568, 476, 2420, 269, 3017, 634, 3732, 689, 1153, 645, 814, 606, 3328, 623, 944, 539, 7352, 766, 519, 31941, 338, 476, 272, 543, 476, 273, 8807, 516, 4520, 267, 519, 1990, 6060, 568, 513, 2370, 4443, 563, 763, 1966, 2829, 602, 1449, 8464, 538, 1142, 2551, 616, 7363, 6673, 10803, 543, 20145, 32417, 4112, 7134, 281, 589, 6651, 585, 4317, 3163, 4841, 267, 476, 273, 526, 9990, 8110, 787, 681, 269, 9208, 2353, 1284, 5173, 519, 1611, 540, 1142, 540, 891, 5439, 543, 14345, 540, 5470, 563, 20813, 2064, 1377, 269, 4935, 519, 5506, 602, 519, 1611, 540, 519, 3732, 689, 15661, 476, 272, 786, 9765, 540, 519, 3044, 11539, 543, 594, 6415, 711, 2386, 875, 547, 979, 827, 3257, 602, 269, 0, 15463, 617, 3397, 23774, 320, 4083, 454, 347, 15463, 617, 3397, 23774, 320, 4083, 2008, 347, 6362, 538, 2694, 540, 7225, 20660, 2008, 25238, 1221, 1475, 322, 269, 476, 10844, 610, 476, 1911, 2008, 26180, 14575, 1475, 15463, 617, 3397, 23774, 320, 594, 2008, 15463, 617, 3397, 23774, 320, 4083, 630, 3891, 11119, 281, 13913, 494, 403, 496, 29645, 27783, 353, 403, 350, 264, 630, 4696, 476, 2767, 270, 2764, 1107, 524, 269, 476, 10844, 610, 476, 1911, 264, 6815, 807, 2346, 344, 3957, 29849, 4236, 342, 3780, 3397, 23774, 320, 543, 3006, 27571, 547, 3397, 23774, 320, 267, 729, 632, 552, 662, 325, 543, 729, 339, 8297, 4546, 689, 632, 4173, 617, 1014, 15913, 269, 1261, 729, 632, 535, 858, 4759, 540, 771, 15913, 547, 7703, 632, 5707, 933, 540, 4622, 267, 855, 646, 556, 11220, 936, 11182, 3544, 540, 7225, 20660, 593, 14567, 607, 513, 4936, 524, 342, 1304, 269, 3397, 23774, 320, 729, 22536, 3497, 676, 1010, 6014, 5396, 538, 476, 5780, 543, 6462, 632, 4936, 2427, 538, 632, 3689, 6014, 1700, 31718, 2782, 563, 15463, 617, 3397, 23774, 320, 4083, 729, 632, 5067, 540, 632, 1101, 543, 1732, 8153, 4173, 617, 3397, 23774, 320, 267, 632, 2156, 1457, 540, 645, 7967, 823, 267, 25795, 600, 928, 267, 543, 3220, 639, 328, 2346, 320, 630, 16149, 7385, 540, 632, 4936, 605, 2017, 1807, 16653, 3780, 23225, 1460, 264, 907, 1261, 729, 13473, 693, 632, 5480, 540, 632, 17169, 595, 342, 7596, 3780, 267, 543, 693, 632, 942, 540, 1010, 535, 14575, 781, 18555, 646, 729, 593, 14567, 11157, 8696, 1296, 7640, 323, 269, 595, 342, 7596, 3780, 632, 516, 1150, 6854, 1864, 693, 7507, 267, 543, 2366, 595, 22273, 3780, 674, 611, 639, 607, 605, 2017, 1807, 540, 632, 4936, 11662, 540, 7225, 2801, 320, 269, 1733, 328, 933, 693, 7507, 267, 646, 21350, 5367, 1010, 1489, 585, 632, 7642, 547, 595, 342, 7596, 3780, 267, 543, 1996, 632, 6341, 541, 30808, 543, 632, 605, 2017, 1807, 540, 594, 644, 2801, 320, 19435, 267, 20764, 573, 3780, 595, 3861, 639, 267, 945, 729, 530, 622, 14567, 546, 4454, 547, 723, 1044, 632, 2014, 540, 930, 18063, 632, 516, 563, 305, 1047, 538, 1379, 454, 4002, 632, 18555, 540, 4622, 4173, 617, 540, 932, 1177, 30241, 538, 476, 4366, 267, 1010, 1159, 1177, 342, 26219, 10806, 540, 932, 1177, 30241, 729, 2016, 547, 3397, 23774, 320, 267, 24459, 632, 1318, 540, 2706, 842, 2056, 632, 7843, 335, 933, 538, 7603, 639, 1177, 655, 543, 6966, 532, 922, 1164, 17308, 267, 855, 593, 14567, 607, 513, 15067, 337, 8944, 563, 1103, 476, 7871, 267, 3397, 23774, 320, 729, 7142, 547, 2285, 909, 632, 15067, 337, 8944, 540, 932, 1177, 30241, 855, 538, 5385, 595, 342, 7596, 3780, 1500, 1864, 8297, 4546, 24459, 632, 5707, 933, 540, 4622, 936, 632, 11182, 3105, 14567, 18170, 676, 1912, 12685, 760, 267, 2012, 14567, 267, 15506, 2033, 320, 267, 3004, 577, 517, 4345, 543, 717, 879, 342, 517, 4345, 267, 543, 632, 10806, 540, 700, 903, 534, 5362, 538, 2806, 328, 11445, 269, 634, 15067, 337, 8944, 540, 932, 1177, 30241, 729, 1016, 572, 336, 20852, 14567, 538, 476, 6872, 2016, 547, 1010, 23013, 267, 14163, 984, 17703, 639, 269, 4173, 617, 3397, 23774, 320, 2781, 933, 1962, 730, 676, 2261, 11538, 1055, 1010, 1079, 19946, 25795, 600, 928, 543, 3220, 639, 328, 2346, 320, 269, 674, 342, 822, 3780, 9478, 639, 267, 632, 6014, 14787, 267, 28197, 632, 575, 1601, 760, 3611, 3397, 23774, 320, 530, 1882, 538, 606, 1651, 652, 6681, 17370, 725, 1222, 24459, 1010, 11078, 267, 645, 7967, 823, 563, 13070, 23774, 320, 1163, 2105, 530, 1618, 18304, 538, 3083, 4328, 7603, 639, 1177, 655, 543, 522, 1457, 4872, 267, 1965, 701, 25556, 2346, 344, 645, 2044, 339, 639, 630, 534, 2615, 2142, 597, 583, 1070, 513, 670, 1168, 30591, 2213, 2749, 538, 21265, 545, 807, 269, 3571, 851, 807, 342, 640, 585, 632, 530, 2660, 21235, 1864, 10002, 641, 340, 8705, 10838, 1010, 1378, 5396, 267, 543, 632, 1698, 878, 1190, 6073, 538, 799, 646, 12912, 543, 1244, 2216, 632, 1164, 20577, 1500, 1864, 771, 342, 27419, 676, 1010, 4295, 23143, 542, 1235, 563, 23219, 24459, 7507, 454, 1103, 632, 11157, 8696, 325, 1032, 540, 3397, 23774, 320, 781, 12081, 630, 14585, 22046, 532, 24459, 632, 476, 1321, 325, 1032, 540, 715, 3266, 781, 12081, 267, 610, 476, 4792, 270, 5780, 9460, 1070, 3397, 23774, 320, 6836, 26525, 14567, 547, 513, 3200, 513, 2112, 24459, 7507, 267, 950, 646, 4718, 1010, 2197, 5443, 1252, 1177, 14567, 26356, 547, 4339, 1996, 7507, 267, 1317, 540, 1978, 1202, 17703, 1206, 543, 28407, 632, 344, 1185, 1185, 896, 632, 4936, 605, 2017, 1807, 267, 717, 612, 3780, 674, 342, 11501, 269, 2311, 771, 942, 267, 632, 344, 1185, 7745, 11325, 632, 524, 6851, 8651, 649, 8172, 689, 4165, 8205, 10783, 816, 547, 632, 7843, 335, 933, 6778, 1141, 4936, 30889, 323, 4536, 941, 530, 2632, 547, 1832, 9856, 1282, 632, 6014, 875, 12156, 267, 543, 632, 344, 15189, 547, 2628, 632, 24744, 799, 729, 1813, 547, 19332, 269, 3397, 23774, 320, 7036, 539, 632, 890, 641, 933, 543, 24016, 3079, 3611, 632, 344, 13486, 622, 632, 10151, 17536, 1182, 2944, 547, 1629, 543, 10505, 1629, 572, 342, 1407, 547, 4936, 30566, 344, 269, 2311, 530, 1263, 325, 267, 3397, 23774, 320, 535, 2967, 14954, 547, 2061, 1010, 5396, 689, 6450, 1168, 9405, 267, 6466, 267, 1282, 513, 1978, 875, 6118, 950, 632, 4936, 17294, 540, 16850, 267, 595, 652, 3780, 717, 1177, 342, 639, 267, 1185, 5293, 24313, 7225, 20660, 547, 7117 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2793, 3582, 3201, 11581, 296, 3582, 15952, 1715, 25767, 269, 634, 9768, 268, 1724, 610, 15147, 1522, 581, 1114, 855, 1543, 568, 970, 18075, 1482, 269, 1284, 5838, 538, 476, 276, 910, 476, 280, 2395, 543, 8362, 8207, 6075, 2152, 269, 3883, 31805, 22802, 1948, 476, 25320, 25838, 279, 5392, 277, 5025, 289, 5723, 454, 9349, 13517, 3883, 16448, 281, 15952, 1715, 269, 15952, 1715, 28980, 4139, 9990, 267, 17828, 16448, 269, 7179, 539, 538, 2296, 269, 20056, 550, 10866, 267, 6796, 543, 6075, 9547, 16798, 256, 269, 3883, 31805, 22802, 1948, 589, 18853, 268, 14138, 6187, 278, 454, 9349, 13517, 3883, 16448, 281, 1715, 269, 1715, 269, 4139, 7160, 269, 7756, 9768, 543, 15147, 3239, 855, 9115, 616, 1482, 607, 2475, 7160, 269, 17828, 2783, 269, 21436, 9547, 938, 10862, 269, 3883, 31805, 22802, 1948, 9474, 292, 6363, 292, 289, 268, 4281, 273, 4037, 454, 9349, 13517, 28980, 269, 3883, 16448, 281, 1715, 269, 901, 568, 606, 4139, 9990, 269, 15952, 1715, 28980, 268, 23893, 7170, 8191, 543, 9990, 607, 7396, 269, 9768, 543, 15147, 1374, 15320, 269, 5381, 12937, 607, 772, 2529, 9990, 269, 24822, 1369, 476, 274, 268, 278, 1870, 2395, 8028, 4629, 7704, 5990, 23834, 15477, 292, 269, 1284, 666, 6928, 547, 18161, 13340, 2232, 538, 2475, 269, 4139, 9990, 7956, 9248, 949, 7703, 513, 6003, 834, 8253, 585, 9042, 538, 519, 772, 2529, 269, 610, 4516, 257, 610, 834, 2690, 9042, 538, 5607, 1152, 257, 610, 2147, 9993, 268, 9102, 1152, 547, 25339, 1053, 689, 13844, 606, 10097, 5299, 269, 2475, 7040, 814, 7682, 539, 707, 1318, 547, 4444, 543, 946, 4139, 7160, 269, 7457, 3009, 270, 7374, 949, 711, 3177, 609, 891, 21820, 269, 1284, 949, 6928, 519, 2835, 689, 2789, 16292, 17346, 2066, 519, 8608, 1519, 5607, 4470, 2390, 519, 8244, 540, 11891, 269, 7179, 539, 538, 2296, 269, 21436, 9547, 16798, 269, 7994, 11880, 1243, 11288, 585, 18124, 6765, 269, 31524, 1297, 3177, 585, 1169, 1931, 269, 3883, 31805, 22802, 1948, 681, 308, 318, 7818, 25320, 25838, 279, 5392, 271, 454, 9349, 13517, 3883, 16448, 281, 15952, 1715, 269, 1715, 269, 9941, 290, 1478, 4139, 7160, 269, 7756, 9768, 543, 15147, 3239, 855, 9115, 616, 1482, 607, 2475, 7160, 269, 21436, 9045, 529, 8351, 16798, 8627, 269, 3883, 31805, 22802, 1948, 15562, 18510, 4281, 273, 4037, 454, 9349, 13517, 30296, 269, 3883, 16448, 281, 1715, 269, 476, 25320, 25838, 279, 5392, 277, 901, 568, 606, 4139, 9990, 269, 15952, 1715, 267, 28980, 267, 24822, 1369, 476, 277, 268, 1691, 1870, 2395, 267, 5381, 12937, 607, 772, 2529, 9990, 267, 9768, 543, 15147, 1374, 949, 8428, 267, 9102, 538, 4563, 1299, 6519, 269, 7994, 30609, 1243, 11288, 585, 6765, 1369, 476, 274, 268, 279, 1870, 2395, 269, 1284, 798, 711, 6928, 547, 18161, 13340, 267, 6673, 302, 2073, 674, 17269, 17372, 269, 769, 930, 8320, 267, 5396, 971, 607, 5004, 267, 19098, 267, 16010, 949, 723, 1114, 1439, 3184, 2013, 2090, 543, 5751, 269, 4139, 9990, 7956, 9248, 949, 7703, 513, 6003, 834, 8253, 585, 9042, 538, 519, 772, 2529, 269, 610, 4516, 257, 543, 834, 32098, 949, 1114, 689, 772, 2529, 269, 9990, 257, 910, 9102, 1152, 547, 25339, 772, 2529, 269, 1053, 689, 13844, 606, 10097, 5299, 269, 634, 772, 2529, 269, 10966, 7040, 814, 7682, 539, 707, 1318, 547, 6718, 3486, 21820, 267, 543, 12199, 593, 713, 3390, 269, 7457, 3009, 270, 7374, 568, 711, 3177, 609, 891, 21820, 2073, 8259, 9138, 269, 1284, 949, 6928, 519, 2835, 689, 2789, 16292, 17346, 2066, 519, 8608, 267, 1519, 3127, 4470, 2390, 519, 8244, 540, 11891, 4859, 269, 21436, 9547, 16798, 269, 3883, 31805, 22802, 1948, 715, 308, 318, 7818, 25320, 25838, 279, 5392, 271, 454, 9349, 13517, 3883, 16448, 281, 1715, 269, 15952, 1715, 28980, 4139, 9990, 269, 2171, 26676, 547, 18161, 21398, 311, 17372, 849, 269, 12327, 303, 3633, 3951, 3633, 11288, 4781, 849, 2139, 585, 5488, 6765, 269, 3883, 31805, 22802, 1948, 589, 4785, 8042, 11246, 268, 14138, 6187, 278, 454, 9349, 13517, 3883, 16448, 281, 15952, 1715, 269, 1715, 267, 9941, 290, 1478, 4139, 7160, 269, 7756, 9768, 543, 15147, 3239, 855, 9115, 616, 1482, 607, 2475, 7160, 269, 20056, 550, 21436, 6796, 269, 3883, 31805, 22802, 1948, 9474, 292, 24433, 268, 4281, 273, 4037, 0, 6781, 913, 519, 1353, 1576, 593, 519, 3105, 8717, 267, 513, 2101, 1297, 540, 9038, 543, 8951, 689, 1585, 2694, 593, 519, 4541, 723, 3893, 909, 12567, 5463, 528, 20279, 609, 21060, 269, 2201, 713, 2543, 267, 891, 2043, 723, 1336, 593, 741, 1378, 19832, 8449, 538, 6721, 11141, 19806, 558, 10651, 543, 849, 538, 14237, 30436, 10448, 10651, 269, 589, 3152, 851, 540, 22254, 20866, 4096, 593, 1018, 949, 1134, 581, 16363, 1134, 1634, 2409, 538, 2474, 540, 519, 2126, 543, 1425, 6005, 540, 7654, 1010, 610, 1200, 2030, 610, 19787, 1753, 10651, 269, 1677, 22950, 19189, 267, 891, 22254, 2356, 4096, 593, 1082, 538, 513, 5010, 2631, 1992, 629, 762, 6219, 14319, 543, 25584, 547, 2126, 585, 1010, 610, 1200, 4130, 10651, 269, 589, 3099, 540, 12204, 540, 4677, 5829, 6878, 689, 13851, 610, 10786, 15969, 547, 18168, 666, 581, 1336, 11593, 693, 18147, 4677, 3761, 8637, 543, 10958, 10685, 15945, 269, 23448, 3622, 891, 2395, 267, 891, 3119, 25584, 568, 2356, 5833, 547, 1205, 513, 7168, 4023, 1871, 563, 12024, 513, 812, 610, 4807, 4991, 1454, 811, 2404, 609, 519, 2126, 543, 1425, 6005, 540, 1010, 610, 1200, 18147, 4677, 267, 891, 2010, 540, 513, 1268, 11148, 547, 2490, 856, 547, 581, 1454, 811, 6857, 543, 3222, 540, 875, 519, 2326, 646, 610, 1352, 2306, 946, 540, 547, 723, 513, 12402, 513, 18147, 4677, 2777, 5963, 4093, 519, 1604, 2059, 609, 519, 7031, 9363, 2919, 630, 14588, 32496, 16719, 1040, 9182, 267, 3833, 513, 1906, 4274, 22254, 723, 9715, 1031, 5214, 12202, 12485, 12991, 1823, 543, 5214, 8105, 12485, 5963, 616, 2965, 827, 543, 1031, 676, 2043, 2016, 602, 1880, 3504, 1004, 5795, 909, 10122, 543, 7213, 6819, 543, 13854, 1318, 1524, 547, 1020, 741, 1378, 7031, 849, 547, 2226, 741, 1378, 30042, 666, 1149, 269, 2986, 741, 1034, 10026, 3099, 267, 5214, 12202, 12485, 568, 7768, 593, 519, 13345, 540, 676, 2067, 1797, 1624, 1005, 2326, 630, 16955, 2326, 264, 3330, 519, 2126, 543, 2126, 1505, 540, 513, 18147, 4677, 1858, 19787, 610, 16036, 269, 3143, 5841, 6878, 610, 1022, 1826, 616, 1031, 538, 16048, 5214, 12567, 5463, 528, 20279, 609, 21060, 563, 5649, 4746, 281, 4826, 674, 870, 1622, 12567, 609, 12532, 3118, 454, 294, 731, 839, 616, 711, 1152, 585, 18126, 607, 1134, 607, 1920, 1404, 4610, 267, 2943, 666, 11338, 581, 3501, 4025, 585, 4859, 2230, 24259, 1141, 835, 666, 3274, 3622, 6006, 3063, 1753, 8631, 338, 538, 519, 8774, 269, 1306, 851, 540, 519, 3003, 1753, 16538, 267, 621, 568, 1175, 2705, 3617, 602, 13452, 24259, 786, 6157, 11338, 1413, 538, 3146, 331, 894, 543, 849, 8799, 547, 707, 1753, 781, 1374, 563, 9213, 972, 616, 513, 7008, 540, 1360, 4105, 2798, 547, 1491, 883, 7156, 950, 4358, 513, 17724, 773, 4677, 267, 2436, 547, 2253, 689, 2371, 610, 689, 5452, 269, 31896, 707, 17724, 773, 4677, 689, 5452, 2154, 1256, 811, 9639, 267, 942, 543, 568, 1447, 7199, 269, 0, 6524, 14045, 1141, 547, 1902, 538, 13632, 13071, 1413, 693, 875, 547, 1265, 1434, 13632, 1210, 4909, 2079, 607, 713, 568, 513, 1883, 851, 540, 1451, 9467, 543, 10115, 1576, 563, 1432, 798, 649, 1611, 676, 4909, 2079, 888, 293, 1495, 4442, 2079, 1797, 25935, 1883, 1344, 689, 519, 2754, 779, 3370, 6589, 1775, 4318, 269, 519, 3666, 6656, 267, 4747, 3948, 543, 6666, 2095, 3948, 269, 634, 1883, 1344, 649, 4927, 581, 1210, 568, 912, 14154, 22472, 630, 23748, 15271, 5223, 994, 9743, 6627, 13574, 11429, 543, 454, 5978, 2832, 607, 9520, 568, 547, 4444, 8843, 693, 519, 1318, 3902, 269, 1284, 1810, 1406, 1616, 547, 2628, 1932, 1454, 607, 950, 649, 2097, 547, 6133, 621, 649, 949, 711, 1205, 938, 2724, 1394, 543, 649, 1439, 909, 1818, 513, 2530, 563, 1103, 1840, 547, 1210, 4909, 2079, 649, 666, 723, 1776, 14049, 538, 938, 19070, 531, 1107, 649, 666, 946, 2930, 2079, 269, 901, 3322, 2542, 543, 30228, 12125, 267, 3168, 585, 1489, 543, 4187, 543, 3843, 547, 1265, 519, 10726, 2798, 547, 4444, 543, 6133, 563, 1103, 519, 1985, 3992, 649, 4927, 2253, 938, 4909, 2079, 543, 4983, 513, 1360, 3730, 5223, 1572, 519, 12313, 2423, 11789, 5223, 269, 0, 347, 22337, 660, 830, 4397, 16172, 607, 782, 10896, 3008, 2533, 616, 6410, 547, 513, 1007, 7746, 563, 7197, 540, 519, 15270, 538, 519, 7122, 616, 1336, 538, 14160, 19851, 8991, 3808, 1927, 454, 2421, 14965, 4229, 269, 769, 519, 7298, 6512, 454, 641, 3749, 11147, 540, 519, 8998, 540, 454, 1492, 1290, 320, 12440, 267, 1397, 1804, 2338, 540, 15270, 2673, 1927, 593, 519, 454, 20391, 269, 1879, 649, 1413, 538, 519, 1482, 4287, 609, 606, 2473, 11920, 16263, 519, 454, 1952, 30970, 568, 32753, 1114, 607, 568, 3254, 538, 519, 18913, 681, 5308, 2969, 454, 13548, 269, 5502, 540, 519, 1367, 15270, 649, 1294, 513, 11999, 6531, 540, 3905, 454, 326, 553, 11423, 519, 2898, 12440, 269, 634, 3154, 3294, 729, 12699, 607, 621, 8593, 883, 454, 1492, 12440, 896, 519, 3310, 540, 8904, 267, 8757, 5210, 540, 454, 19925, 476, 2004, 2929, 5232, 267, 10018, 532, 12998, 693, 2473, 11920, 20966, 563, 3528, 4974, 519, 2473, 11920, 12998, 689, 13421, 540, 15270, 899, 1290, 320, 649, 666, 454, 1889, 5501, 519, 2179, 540, 3905, 3154, 3238, 543, 8754, 17429, 576, 875, 1454, 14965, 454, 21346, 568, 2877, 269, 2473, 11920, 7422, 1683, 519, 1655, 2963, 649, 723, 602, 513, 454, 26171, 6824, 540, 519, 14965, 2527, 1590, 581, 538, 519, 1106, 540, 834, 323, 1046, 2339, 2668 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 384, 478, 6347, 2793, 1107, 700, 8016, 19851, 269, 6693, 268, 667, 295, 3198, 7838, 384, 478, 6347, 2793, 1107, 645, 8582, 269, 0, 290, 965, 22024, 568, 1031, 547, 2973, 519, 7929, 8778, 269, 1403, 606, 796, 11499, 2179, 540, 11522, 22024, 610, 838, 583, 636, 568, 4646, 267, 713, 666, 581, 513, 1129, 540, 513, 7929, 2068, 269, 634, 1034, 1455, 3676, 616, 11522, 538, 519, 2796, 540, 513, 4411, 267, 8650, 32583, 267, 10447, 267, 11959, 267, 21061, 610, 5761, 3676, 563, 303, 8793, 11522, 585, 897, 1091, 543, 32583, 563, 288, 4411, 543, 32583, 616, 3592, 2141, 10483, 676, 513, 11522, 269, 1306, 513, 4341, 267, 513, 2068, 540, 519, 7929, 8778, 5956, 609, 8886, 762, 11522, 267, 799, 1287, 7140, 883, 23472, 22024, 269, 901, 11522, 609, 22024, 10953, 1317, 519, 29935, 9245, 540, 519, 7929, 8778, 5051, 11580, 1471, 32654, 22024, 269, 634, 11522, 22024, 711, 1152, 12042, 619, 7244, 267, 621, 849, 5932, 4998, 2175, 585, 519, 3262, 540, 4551, 563, 306, 3916, 344, 11522, 609, 838, 583, 636, 563, 763, 1560, 6499, 547, 1863, 3294, 689, 519, 23494, 4646, 11522, 22024, 269, 1403, 713, 7319, 12923, 267, 7189, 3717, 540, 11327, 23472, 267, 1775, 4318, 269, 23472, 609, 838, 583, 636, 610, 838, 583, 636, 269, 634, 22024, 30275, 539, 814, 1114, 7990, 902, 269, 769, 8650, 32583, 621, 1419, 814, 513, 5835, 880, 25984, 7990, 269, 589, 838, 583, 636, 267, 2705, 267, 1281, 711, 1152, 2049, 1282, 606, 4576, 267, 855, 568, 849, 3361, 676, 824, 3123, 267, 971, 607, 7296, 563, 309, 16191, 16392, 2371, 267, 3532, 1198, 1107, 602, 779, 1018, 1306, 1051, 517, 2485, 362, 568, 782, 827, 563, 31535, 1018, 3123, 11522, 22024, 543, 23472, 22024, 912, 268, 5164, 531, 6553, 540, 519, 29935, 9245, 267, 552, 3052, 269, 538, 8650, 32583, 454, 268, 26590, 9190, 3968, 267, 552, 3052, 269, 16415, 610, 2166, 10973, 27470, 454, 268, 645, 17424, 3968, 538, 7067, 267, 552, 3052, 269, 538, 16415, 454, 268, 25016, 3676, 971, 607, 957, 514, 3912, 322, 2670, 543, 21061, 454, 268, 24581, 7296, 454, 763, 22024, 11522, 610, 11327, 11522, 814, 513, 8825, 1599, 269, 898, 1058, 581, 15469, 676, 2921, 11522, 2503, 528, 1218, 865, 602, 519, 1471, 32654, 22024, 666, 581, 4172, 326, 1117, 909, 1732, 269, 30318, 616, 2030, 2861, 11522, 30177, 267, 552, 3052, 269, 609, 16815, 1889, 2336, 10702, 3584, 540, 713, 3896, 912, 1432, 2337, 1996, 23472, 888, 288, 11522, 779, 711, 519, 1482, 607, 513, 11522, 269, 29247, 6616, 827, 281, 595, 965, 267, 7622, 14319, 1299, 948, 619, 689, 2470, 563, 8469, 21778, 585, 11522, 338, 563, 288, 27803, 10826, 585, 23472, 286, 5709, 1400, 11922, 267, 4915, 610, 7622, 14319, 1107, 1018, 2731, 2337, 888, 1432, 568, 32583, 888, 1432, 616, 519, 2589, 540, 32583, 286, 966, 16191, 1344, 827, 3123, 267, 2589, 543, 8653, 563, 15648, 476, 1001, 280, 670, 2207, 300, 2464, 1488, 345, 928, 574, 8636, 601, 717, 3387, 295, 267, 23108, 29967, 1127, 1088, 334, 515, 269, 2353, 2924, 11603, 563, 2026, 1051, 517, 2485, 362, 11522, 21360, 1315, 11522, 12772, 269, 1677, 581, 4421, 538, 7966, 9313, 269, 15765, 6219, 281, 774, 344, 1889, 10786, 5394, 1349, 269, 3498, 281, 1677, 2087, 519, 2589, 540, 897, 1091, 540, 519, 7929, 8778, 609, 1471, 32654, 22024, 267, 547, 2087, 519, 2589, 540, 8650, 32583, 269, 8074, 281, 1280, 20286, 3476, 982, 476, 272, 3018, 267, 585, 26032, 540, 7362, 267, 8611, 267, 1625, 12040, 610, 26481, 838, 583, 636, 3343, 2564, 948, 269, 595, 965, 21360, 281, 1230, 13935, 5672, 5766, 22318, 565, 18038, 22438, 792, 622, 267, 9848, 1356, 565, 543, 22408, 4226, 565, 269, 476, 1015, 16720, 5330, 547, 476, 271, 269, 3451, 18688, 269, 634, 2300, 760, 1801, 949, 2014, 30724, 3878, 610, 11591, 21539, 320, 269, 3502, 585, 1453, 2485, 362, 661, 4157, 2355, 476, 1911, 8406, 1315, 476, 1220, 8406, 269, 14997, 2329, 12600, 269, 15765, 12146, 281, 552, 32023, 3282, 269, 9615, 281, 2051, 1091, 540, 519, 7929, 8778, 609, 1471, 32654, 22024, 269, 769, 2013, 540, 2589, 9434, 3476, 982, 476, 274, 2395, 610, 29083, 267, 26032, 540, 7362, 267, 8611, 267, 1625, 12040, 610, 26481, 838, 583, 636, 267, 3343, 2564, 3007, 269, 21073, 281, 476, 1015, 270, 1724, 268, 273, 269, 2026, 1051, 517, 2485, 362, 774, 9130, 14342, 1323, 1047, 1315, 774, 9130, 14342, 18706, 529, 269, 14997, 2329, 12600, 630, 4364, 673, 3926, 1040, 15765, 12146, 281, 3819, 1349, 689, 595, 564, 337, 7559, 6532, 3821, 630, 296, 576, 1633, 545, 21263, 1040, 13335, 281, 595, 965, 16698, 543, 11876, 1513, 8864, 269, 8074, 281, 1230, 13935, 22408, 4226, 565, 269, 476, 272, 3138, 345, 3188, 14687, 547, 476, 271, 269, 6860, 18688, 269, 21073, 281, 476, 6187, 270, 1321, 268, 272, 269, 1306, 1051, 517, 2485, 362, 595, 965, 26332, 13541, 1315, 28133, 595, 965, 26332, 13541, 269, 14997, 2329, 12600, 630, 4364, 673, 3926, 1040, 15765, 12146, 281, 1349, 689, 13397, 1156, 6532, 16307, 630, 296, 576, 1633, 545, 21263, 1040, 13335, 281, 7054, 761, 725, 540, 519, 29935, 9245, 538, 519, 5023, 543, 943, 28449, 543, 2404, 3819, 8886, 762, 11522, 269, 8074, 281, 1230, 13935, 28915, 20738, 269, 476, 1015, 16720, 5330, 547, 476, 271, 269, 3066, 18688, 269, 5839, 5766, 565, 16744, 1356, 565, 18038, 22438, 792, 622, 949, 2014, 7181, 13347, 543, 13165, 269, 21073, 281, 476, 6734, 270, 1626, 268, 272, 269, 1306, 1051, 517, 2485, 362, 715, 29569, 1975, 2001, 269, 14997, 2329, 12600, 630, 4364, 673, 3926, 1040, 16952, 281, 15214, 2023, 545, 4262, 6070, 3070, 630, 14585, 22046, 532, 547, 476, 272, 269, 276, 4939, 3349, 6070, 3070, 1070, 3834, 668, 749, 846, 267, 32609, 335, 656, 1156, 565, 267, 4342, 874, 528, 267, 26550, 30291, 3128, 267, 16815, 1889, 3282, 267, 552, 32023, 3282, 267, 20511, 3282, 267, 5672, 5766, 565, 9848, 1356, 565, 18038, 22438, 792, 622, 630, 4942, 269, 20195, 13776, 9770, 28355, 267, 3632, 878, 3679, 1395, 334, 5139, 3433, 267, 29881, 1216, 269, 13335, 281, 1280, 11215, 2126, 540, 897, 1091, 543, 7249, 6479, 9224, 269, 21073, 281, 476, 1015, 270, 1704, 268, 272, 269, 1306, 1051, 517, 2485, 362, 21210, 269, 12192, 595, 543, 667, 267, 13058, 543, 31093, 3565, 547, 519, 3339, 8647, 540, 519, 4761, 1062, 269, 476, 272, 11480, 829, 1554, 269, 11872, 281, 476, 272, 642, 658, 14687, 547, 476, 271, 269, 6349, 18688, 269, 21250, 656, 2021, 1058, 5077, 741, 4387, 1354, 4616, 269, 634, 5227, 3232, 6981, 1590, 711, 581, 25295, 269, 26678, 9360, 1058, 711, 581, 1031, 607, 513, 12990, 585, 513, 7059, 543, 9867, 2732, 543, 513, 2635, 6197, 269, 634, 1587, 568, 711, 5078, 585, 1453, 896, 519, 2085, 540, 476, 1321, 269, 5901, 856, 540, 519, 3914, 540, 1762, 1453, 269, 769, 2013, 540, 513, 1634, 22166, 547, 1022, 540, 519, 5820, 267, 713, 8192, 7110, 1058, 711, 581, 3144, 269, 21073, 281, 476, 1556, 270, 1240, 268, 272, 269, 918, 4319, 601, 2725, 340, 1088, 22138, 717, 3387, 295, 267, 476, 276, 4391, 10695, 661, 3218, 325, 454, 2108, 2690, 4220, 543, 2427, 2360, 1224, 519, 10189, 7696, 543, 2307, 707, 4387, 610, 14278, 626, 6100, 0, 15812, 519, 4102, 1297, 593, 519, 2451, 540, 519, 1297, 1899, 269, 4804, 547, 946, 519, 563, 3393, 10076, 13174, 25420, 1280, 2659, 4841, 1677, 21561, 4256, 12071, 1890, 1656, 6452, 5596, 2060, 18827, 25513, 18527, 1656, 6555, 529, 10076, 4569, 4569, 16721, 4569, 585, 30180, 4640, 1840, 3211, 1032, 476, 275, 454, 4322, 3211, 960, 1134, 547, 4001, 543, 4051, 1053, 593, 875, 547, 2936, 519, 30180, 15613, 543, 590, 5902, 15613, 950, 4946, 543, 18946, 476, 273, 18251, 2338, 1510, 1036, 29470, 563, 297, 2794, 4640, 1840, 3211, 1032, 476, 275, 269, 2422, 519, 7914, 4640, 547, 1039, 891, 269, 1924, 476, 7367, 476, 4375, 476, 11011, 269, 5753, 666, 26821, 519, 7914, 4640, 609, 840, 13402, 1297, 3515, 563, 288, 476, 1321, 536, 476, 7871, 524, 476, 11277, 18827, 2790, 2994, 7914, 4640, 1879, 649, 1039, 649, 666, 946, 519, 7914, 4640, 547, 948, 721, 269, 3689, 1039, 519, 9937, 269, 1879, 7900, 1840, 18304, 649, 3006, 946, 513, 1505, 1572, 7914, 4640, 563, 5392, 476, 1015, 476, 1015, 476, 7597, 269, 476, 272, 3689, 649, 7914, 909, 676, 519, 9937, 269, 898, 3322, 17259, 676, 2694, 540, 513, 1297, 547, 4137, 856, 519, 3070, 563, 763, 2626, 568, 1287, 9168, 547, 22771, 585, 519, 3312, 1689, 269, 11819, 7705, 19134, 6941, 519, 1505, 543, 875, 922, 6026, 538, 269, 1403, 596, 899, 713, 1297, 1899, 12408, 9656, 547, 1032, 476, 273, 649, 723, 513, 1390, 2039, 540, 3606, 2200, 602, 596, 1522, 899, 547, 948, 1489, 707, 3450, 538, 713, 1858, 563, 297, 2794, 15613, 585, 18827, 269, 589, 476, 4281, 476, 7367, 536, 476, 12893, 476, 4510, 524, 476, 6977, 476, 8287, 623, 2350, 694, 17259, 538, 9937, 2059, 519, 21985, 269, 1520, 634, 1034, 3102, 5399, 540, 1863, 7792, 3211, 3059, 3756, 585, 3214, 563, 763, 4199, 2337, 1053, 26821, 741, 8237, 4640, 950, 4946, 476, 273, 543, 476, 274, 18251, 2338, 543, 2488, 513, 13561, 2626, 6656, 1932, 269, 30180, 15613, 585, 18827, 2422, 519, 10145, 1297, 3515, 547, 960, 856, 519, 1739, 269, 3973, 1039, 519, 3283, 563, 2690, 1383, 476, 7367, 476, 4375, 269, 9786, 6478, 1107, 30180, 15613, 585, 18827, 25269, 343, 23095, 11261, 269, 8018, 1107, 25373, 540, 2338, 1447, 982, 476, 1911, 7300, 476, 29483, 278, 30641, 563, 9223, 543, 2626, 6486, 1079, 2157, 540, 7411, 513, 1297, 1899, 10959, 585, 1053, 547, 1397, 741, 2324, 269, 5192, 5215, 540, 4116, 2275, 2761, 539, 2238, 602, 5348, 322, 909, 609, 519, 1153, 1032, 269, 18827, 2790, 2994, 7914, 4640, 476, 274, 476, 275, 932, 665, 544, 6493, 476, 3445, 829, 1085, 17274, 808, 11481, 28369, 476, 4649, 829, 1085, 17274, 31201, 669, 665, 338, 476, 4817, 829, 1085, 17274, 808, 25683, 476, 4037, 829, 1085, 17274, 2422, 519, 7914, 4640, 547, 948, 596, 9096, 891, 1840, 6821, 563, 9827, 1634, 607, 519, 7914, 4640, 610, 14911, 1840, 12408, 593, 513, 1297, 1899, 568, 513, 1455, 4480, 538, 23794, 272, 543, 23794, 273, 13004, 3730, 585, 4543, 1453, 3308, 1047, 602, 12408, 568, 4466, 519, 3017, 1063, 1079, 2338, 269, 12315, 1053, 513, 7470, 609, 513, 3099, 540, 2338, 1447, 982, 476, 1911, 269, 2290, 1297, 568, 17031, 547, 20928, 519, 9819, 563, 1607, 568, 513, 1390, 4199, 547, 6338, 519, 1523, 540, 519, 30180, 4640, 538, 13174, 269, 4841, 666, 946, 1114, 15437, 585, 7366, 9937, 543, 3283, 593, 519, 1297, 1899, 543, 1058, 581, 5432, 609, 10203, 676, 269, 589, 476, 2190, 476, 1321, 21718, 536, 476, 3607, 476, 2641, 563, 2641, 814, 476, 273, 9937, 543, 476, 272, 1770, 269, 476, 6872, 476, 2420, 476, 8064, 476, 272, 476, 273, 476, 6858, 476, 6507, 476, 8064, 476, 1015, 476, 1015, 476, 273, 476, 6872, 269, 1284, 2736, 519, 1840, 1524, 883, 9937, 543, 4559, 563, 13914, 540, 621, 607, 476, 7367, 476, 2412, 476, 10844, 1287, 4894, 519, 476, 272, 3773, 693, 519, 4098, 269, 2052, 596, 1294, 875, 789, 960, 269, 476, 273, 3973, 649, 7914, 909, 676, 519, 3283, 563, 2414, 1039, 2338, 609, 519, 7914, 4640, 1101, 2721, 513, 10145, 1297, 1899, 269, 901, 1187, 3014, 2882, 269, 1656, 1317, 519, 4976, 2882, 21630, 8237, 4640, 1840, 4834, 547, 960, 856, 596, 666, 4001, 513, 1362, 2407, 540, 1053, 811, 563, 8196, 713, 3450, 4199, 950, 17516, 707, 1053, 1702, 543, 1620, 540, 1210, 519, 7914, 4640, 585, 6061, 19106, 5473, 12408, 1607, 3014, 568, 4998, 547, 946, 538, 1507, 2516, 540, 476, 275, 1282, 6746, 2329, 2516, 269, 2422, 713, 3450, 4199, 950, 17516, 707, 1053, 1702, 543, 1620, 540, 1210, 519, 7914, 4640, 547, 4194, 19106, 602, 3322, 1840, 1607, 3014, 568, 4998, 547, 946, 538, 1507, 2516, 540, 476, 275, 1282, 6746, 2329, 2516, 269, 901, 1187, 3014, 2882, 563, 31404, 1708, 271, 476, 5611, 5400, 7537, 269, 11822, 3818, 18251, 1840, 4976, 2966, 547, 2708, 1053, 2702, 547, 946, 513, 1297, 1899, 543, 519, 7914, 4640, 950, 6061, 4834, 269, 1520, 634, 1034, 3102, 5399, 540, 1863, 7792, 3211, 3059, 3756, 585, 3214, 563, 2171, 666, 798, 713, 676, 10203, 538, 9937 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 518, 4280, 803, 799, 5752, 1893, 594, 9053, 1034, 856, 540, 519, 3283, 7396, 538, 741, 2816, 20171, 269, 9453, 7508, 513, 10726, 267, 594, 23217, 10294, 267, 834, 23911, 10590, 2991, 782, 267, 594, 1185, 13736, 2182, 593, 27725, 518, 305, 1678, 2591, 4481, 2966, 1472, 602, 1893, 780, 10190, 3357, 519, 4729, 6335, 269, 2701, 20493, 1135, 7019, 543, 1767, 267, 968, 15124, 3903, 256, 3767, 1577, 803, 2307, 596, 1945, 1114, 269, 2052, 596, 2995, 721, 1946, 596, 4769, 1406, 2446, 7305, 879, 9495, 3733, 2247, 4682, 10145, 282, 15983, 972, 1590, 723, 1044, 930, 3765, 24483, 269, 1809, 562, 2100, 267, 1352, 7368, 9887, 7444, 267, 968, 8368, 879, 2507, 1492, 1239, 14839, 1907, 649, 5018, 538, 938, 2816, 17609, 9495, 692, 307, 5281, 856, 267, 1247, 18930, 1947, 2519, 593, 3501, 532, 1250, 8193, 5759, 267, 594, 15763, 835, 6263, 1469, 538, 519, 2816, 6609, 1107, 15334, 538, 1239, 14839, 2645, 899, 7305, 879, 269, 17610, 2614, 267, 1282, 519, 1985, 5180, 540, 11042, 267, 1776, 17849, 9614, 4280, 952, 594, 1223, 3802, 873, 998, 2870, 513, 21686, 4580, 1210, 7305, 879, 269, 1975, 334, 8814, 10332, 281, 594, 7948, 1405, 780, 300, 7394, 540, 519, 1650, 286, 11408, 1224, 519, 5386, 1820, 267, 11570, 256, 8786, 267, 6616, 1585, 5752, 4654, 568, 2629, 585, 513, 4578, 8890, 560, 1909, 267, 2523, 693, 513, 2754, 899, 5616, 269, 1717, 267, 2760, 30391, 519, 2956, 540, 824, 3407, 1983, 5018, 538, 519, 2816, 20171, 1932, 269, 5901, 11319, 707, 2383, 547, 1451, 267, 1332, 267, 543, 3251, 1930, 16490, 1317, 3006, 1272, 25001, 7455, 27750, 1256, 950, 596, 1589, 596, 4312, 3893, 3388, 23125, 856, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 29205, 596, 1683, 513, 1592, 540, 5752, 4654, 2838, 585, 513, 1239, 25566, 693, 5616, 888, 296, 1810, 1405, 723, 1569, 547, 24440, 781, 4835, 4170, 585, 513, 1239, 25566, 269, 2705, 267, 1759, 593, 2489, 4170, 585, 519, 2816, 2990, 540, 513, 1239, 25566, 267, 930, 540, 519, 4122, 1031, 5752, 4654, 616, 1384, 272, 269, 9226, 454, 273, 269, 13483, 331, 454, 274, 269, 678, 454, 275, 269, 28162, 454, 276, 269, 1319, 18350, 454, 277, 269, 521, 553, 454, 278, 269, 6299, 344, 454, 279, 269, 1085, 8403, 454, 280, 269, 829, 331, 692, 527, 568, 4502, 15663, 602, 519, 1808, 5752, 4654, 2838, 585, 513, 1239, 25566, 693, 24440, 949, 4268, 4470, 593, 519, 1788, 543, 519, 2319, 269, 621, 568, 2141, 5227, 547, 2638, 519, 2816, 6609, 610, 5077, 609, 15313, 619, 585, 519, 3169, 5752, 1893, 4170, 14325, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 6092, 5149, 281, 19410, 2456, 593, 16930, 12411, 525, 692, 8702, 547, 938, 3408, 540, 6426, 18627, 256, 5620, 596, 2479, 9289, 1018, 1004, 1611, 950, 789, 2911, 827, 16208, 610, 7713, 15102, 689, 519, 6426, 286, 589, 16555, 568, 835, 1259, 602, 1004, 1353, 543, 1174, 1808, 18627, 689, 519, 6426, 269, 898, 781, 899, 2348, 513, 6643, 609, 2576, 945, 6487, 513, 2603, 827, 519, 8574, 543, 6499, 547, 2671, 741, 4030, 609, 596, 780, 4131, 781, 4952, 602, 596, 2097, 2066, 513, 14235, 538, 519, 6426, 602, 12909, 827, 2648, 1373, 3461, 543, 2186, 630, 272, 29833, 2103, 476, 1724, 281, 275, 1040, 1411, 1522, 4898, 267, 834, 1432, 1281, 621, 2731, 1611, 585, 2648, 547, 581, 3461, 543, 2186, 8119, 2334, 781, 1141, 513, 16555, 2501, 538, 13561, 256, 589, 6085, 1807, 1522, 2491, 602, 9639, 1797, 7996, 9350, 569, 1256, 950, 1919, 1491, 3476, 982, 4397, 267, 1247, 11587, 3322, 8156, 1866, 9900, 543, 31635, 269, 1358, 1223, 849, 2285, 1806, 540, 875, 713, 14235, 10039, 547, 1483, 1272, 3871, 267, 899, 7231, 609, 16254, 610, 2828, 780, 3086, 267, 1577, 781, 1589, 827, 1114, 2010, 540, 6085, 2456, 269, 2368, 1445, 593, 3140, 2796, 267, 4543, 721, 1174, 1018, 729, 8345, 693, 519, 942, 950, 519, 14235, 729, 2854, 269, 11524, 1413, 693, 5339, 2511, 267, 6313, 875, 6965, 267, 23199, 267, 610, 824, 5339, 3457, 1039, 2495, 547, 519, 14235, 269, 12846, 1866, 2263, 24396, 4798, 267, 6029, 875, 519, 14235, 13462, 547, 2462, 2093, 899, 19807, 267, 5126, 267, 610, 2696, 781, 2470, 780, 3080, 4277, 1826, 540, 16555, 6212, 593, 875, 1978, 18627, 9305, 547, 1808, 2516, 540, 1004, 610, 2621, 2429, 1686, 269, 1280, 1383, 267, 930, 6085, 2209, 4983, 875, 18627, 827, 16177, 9415, 10271, 1282, 2053, 540, 7920, 20655, 269, 901, 19595, 721, 602, 4352, 519, 1158, 2242, 936, 942, 267, 519, 5168, 543, 7326, 1336, 538, 519, 6426, 2611, 4143, 1100, 2339, 1018, 649, 3068, 780, 1103, 1249, 267, 1705, 596, 917, 602, 972, 814, 2141, 1044, 20655, 1996, 13794, 540, 4906, 2094, 646, 1101, 15336, 519, 3618, 286, 4658, 723, 5185, 23434, 267, 7130, 267, 543, 5208, 3274, 1317, 540, 741, 5132, 269, 1879, 2542, 18627, 827, 11972, 7092, 267, 891, 12703, 2367, 543, 2021, 1265, 4313, 543, 4222, 6616, 602, 9118, 1866, 1354, 873, 4810, 2147, 8062, 269, 3414, 4974, 6085, 2456, 267, 649, 1451, 811, 827, 741, 2984, 543, 2744, 1007, 7071, 585, 519, 1379, 540, 27403, 538, 2352, 6381, 780, 3383, 1985, 942, 596, 7237, 513, 4101, 610, 14845, 14235, 267, 3314, 602, 972, 616, 7899, 540, 2200, 2139, 547, 948, 596, 1732, 1174, 922, 5048, 269, 1635, 3695, 1585, 6085, 2456, 267, 596, 786, 15052, 707, 4276, 547, 519, 6426, 543, 3605, 4195, 5380, 602, 4019, 547, 707, 1378, 1272, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4467, 29232, 593, 31694, 630, 1723, 951, 782, 11271, 689, 476, 272, 555, 745, 476, 2420, 267, 1519, 4985, 994, 15648, 9736, 476, 1001, 280, 676, 19378, 29828, 749, 267, 28613, 3689, 269, 2353, 7126, 27616, 454, 5472, 23075, 24185, 616, 689, 519, 476, 5002, 272, 1977, 9208, 19405, 8259, 6382, 7074, 563, 2026, 594, 4076, 11329, 856, 1082, 2053, 538, 713, 16555, 267, 519, 20655, 540, 10271, 568, 3844, 538, 713, 1433, 269, 1677, 3970, 713, 1433, 547, 513, 6071, 5722, 1032, 1974, 630, 553, 2598, 335, 839, 1049, 1143, 11414, 264, 568, 513, 2101, 12161, 950, 596, 2015, 602, 519, 20655, 540, 10271, 814, 1044, 6024, 2429, 519, 2898, 5783, 2085, 2443, 540, 339, 550, 1307, 540, 5667, 701, 752, 762, 20655, 267, 971, 607, 519, 7826, 22679, 9974, 1141, 6634, 540, 10271, 941, 1793, 4381, 1229, 630, 293, 2135, 324, 779, 3883, 540, 6742, 344, 3464, 2488, 513, 1686, 540, 602, 1040, 634, 1390, 5513, 1637, 568, 1631, 267, 543, 814, 1044, 2469, 593, 2094, 519, 2038, 13243, 5939, 269, 10271, 2429, 519, 5783, 2085, 666, 1224, 713, 1433, 267, 543, 917, 602, 621, 779, 513, 1433, 602, 568, 1699, 547, 741, 1554, 543, 568, 10858, 547, 741, 1554, 563, 17829, 945, 723, 513, 2598, 335, 839, 1049, 2070, 540, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4467, 618, 2456, 593, 16930, 12411, 525, 257, 607, 851, 540, 834, 32628, 1315, 19978, 13129, 1315, 2372, 582, 725, 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, 4495, 2390, 513, 942, 267, 1282, 513, 1390, 2462, 2112, 1572, 2622, 2782, 4083, 267, 972, 729, 513, 1747, 2484, 267, 2484, 2476, 1572, 519, 21125, 11866, 269, 901, 7012, 1405, 899, 1022, 16314, 5544, 596, 1522, 4952, 282, 3079, 267, 621, 729, 513, 1895, 540, 10195, 1141, 6738, 13522, 1185, 930, 3978, 22195, 269, 1411, 1294, 267, 1394, 1287, 267, 1082, 2477, 1472, 519, 1158, 4769, 1405, 1205, 2059, 267, 1175, 899, 950, 707, 2828, 8044, 936, 4171, 2490, 621, 568, 547, 1404, 609, 513, 11442, 269, 769, 713, 2013, 267, 1079, 2101, 2516, 941, 8165, 1142, 824, 910, 519, 27469, 630, 6518, 3769, 519, 2136, 2276, 264, 543, 519, 31196, 25024, 630, 1194, 676, 5125, 6393, 3086, 267, 1577, 803, 2995, 596, 827, 519, 21125, 11866, 22411, 267, 799, 3576, 1747, 538, 1346, 11397, 10195, 269, 634, 1004, 2713, 972, 3893, 9575, 909, 538, 519, 1647, 540, 519, 4661, 1063, 519, 27469, 543, 519, 31196, 25024, 269, 3807, 899, 875, 3006, 3214, 4339, 585, 9162, 610, 3007, 267, 891, 6738, 13522, 10692, 1317, 789, 4941, 1978, 1919, 267, 971, 607, 2244, 543, 2200, 780, 3080, 1554, 267, 1945, 2731, 1271, 5949, 281, 519, 17189, 6370, 540, 2871, 611, 531, 4754, 531, 256, 5994, 952, 782, 519, 11442, 16996, 596, 2479, 5129, 609, 3357, 9800, 543, 3323, 17040, 998, 707, 8602, 30344, 1247, 17661, 1154, 1216, 693, 835, 1776, 269, 2334, 3947, 596, 606, 2856, 540, 1018, 713, 17189, 6370, 6743, 899, 267, 855, 1454, 8273, 543, 1085, 926, 518, 269, 898, 729, 513, 18979, 6735, 1063, 9635, 689, 1312, 5011, 3843, 547, 1491, 1852, 540, 519, 1858, 269, 16828, 267, 1310, 1896, 8942, 543, 9271, 267, 519, 27469, 7307, 547, 5150, 11802, 780, 3719, 1946, 1705, 789, 1616, 547, 3094, 865, 21354, 286, 4270, 267, 1589, 827, 4730, 11090, 3544, 609, 707, 2828, 269, 1403, 2576, 3217, 15896, 540, 519, 3529, 5264, 267, 18711, 1305, 267, 610, 1256, 513, 2027, 15720, 5544, 267, 1866, 786, 2119, 2182, 547, 29379, 621, 269, 6684, 267, 10888, 12959, 5921, 11543, 1569, 547, 3407, 4025, 543, 2326, 2877, 585, 519, 3677, 4655, 780, 1103, 938, 1650, 267, 1498, 267, 711, 3388, 25856, 1472, 10617, 543, 24515, 269, 1703, 616, 849, 12703, 2043, 945, 948, 1118, 513, 3017, 269, 2290, 1383, 568, 519, 4414, 11831, 18124, 267, 513, 18239, 540, 18114, 9141, 676, 3979, 1977, 7980, 12419, 7727, 547, 1489, 4395, 1467, 10136, 538, 2342, 269, 1358, 5249, 24091, 267, 1419, 896, 5906, 2175, 267, 4180, 741, 2319, 10863, 1185, 1426, 267, 993, 32099, 267, 7802, 267, 543, 3937, 2556, 547, 1832, 2469, 269, 1284, 666, 5635, 873, 547, 3237, 10918, 585, 14770, 625, 610, 8600, 6980, 585, 513, 1920, 22924, 949, 3100, 8723, 267, 855, 1510, 621, 267, 3025, 1131, 581, 17237, 543, 8572, 547, 1445, 593, 4376, 3116, 780, 7661, 267, 3314, 602, 1169, 1650, 814, 922, 10678, 269, 2991, 1296, 540, 8165, 543, 10010, 267, 519, 2112, 5555, 8694, 269, 1809, 7429, 2984, 1141, 16764, 3274, 13515, 19163, 267, 1483, 3734, 7526, 991, 3435, 269, 1280, 3236, 267, 13222, 689, 1585, 6082, 10356, 1927, 547, 1865, 4708, 21308, 543, 11650, 269, 6056, 540, 621, 899, 16254, 23115, 856, 2666, 3652, 1354, 4687, 513, 4055, 610, 4730, 1927, 1586, 269, 1452, 3646, 5280, 3715, 1007, 3347, 1851, 2899, 19945, 19397, 4229, 543, 8329, 547, 4509, 6617, 2066, 519, 8608, 780, 3383, 267, 1250, 2370, 3659, 267, 594, 4126, 713, 16866, 4528, 540, 3140, 2621, 2337, 596, 1174, 811, 827, 519, 10848, 540, 10617, 543, 7526, 8345, 1279, 3516, 269, 1656, 6148, 1985, 942, 596, 2671, 9162, 609, 707, 25097, 267, 596, 3513, 5660, 519, 2956, 540, 14207, 543, 9316, 1932, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1432, 2621, 3366, 547, 519, 2112, 609, 3567, 538, 519, 7414, 888, 4002, 5412, 476, 278, 267, 476, 3707, 272, 267, 3567, 588, 3042, 513, 9983, 4323, 593, 23421, 23320, 267, 16094, 14124, 519, 2475, 7414, 18307, 564, 269, 1879, 5125, 543, 7977, 10294, 2112, 593, 519, 2136, 2276, 2395, 2663, 267, 3013, 1336, 3294, 538, 513, 2518, 2112, 563, 1432, 3361, 519, 2112, 538, 519, 7414, 547, 1439, 888, 763, 2112, 19411, 730, 538, 7372, 20466, 2011, 986, 1749, 936, 3567, 267, 543, 519, 10570, 10514, 902, 540, 670, 30090, 543, 18491, 30245, 267, 10483, 676, 519, 8168, 5742, 779, 17083, 540, 2112, 543, 12289, 540, 2494, 577, 22202, 543, 824, 11182, 593, 476, 280, 4864, 476, 3707, 276 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 270, 7090, 454, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 8191, 281, 567, 28001, 9149, 630, 3279, 10008, 287, 1075, 338, 323, 12975, 994, 258, 11261, 281, 672, 2904, 476, 2918, 267, 476, 1001, 276, 454, 258, 7726, 281, 476, 24241, 268, 3519, 13935, 5937, 340, 12393, 454, 258, 13017, 281, 672, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 270, 935, 13935, 268, 706, 12393, 13045, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 9717, 606, 5044, 540, 9981, 267, 1265, 952, 519, 5044, 3568, 1022, 5918, 27289, 269, 3097, 258, 2659, 1599, 1058, 2132, 3020, 952, 1022, 1871, 5526, 693, 2547, 7466, 538, 3097, 258, 519, 5044, 267, 543, 621, 1058, 2132, 7301, 952, 1169, 3693, 568, 3982, 563, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 6396, 281, 25300, 7305, 454, 258, 5384, 29203, 281, 744, 3799, 994, 258, 6611, 29203, 281, 744, 3799, 994, 258, 815, 25275, 25275, 7529, 4499, 284, 692, 5035, 8827, 912, 825, 1948, 7711, 12407, 2715, 15759, 518, 26514, 348, 15358, 454, 825, 1948, 7711, 8873, 2715, 2692, 18978, 8679, 825, 1219, 3568, 291, 340, 12393, 4311, 267, 15358, 2187, 1038, 546, 545, 815, 31460, 1038, 585, 1775, 538, 15358, 912, 2018, 952, 546, 545, 10947, 9217, 264, 568, 711, 7183, 912, 3546, 2132, 6936, 454, 2018, 3116, 912, 3546, 546, 545, 5157, 316, 815, 476, 272, 454, 1038, 2132, 8771, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 8827, 14061, 935, 13935, 291, 340, 12393, 8443, 272, 267, 273, 267, 274, 267, 275, 267, 276, 7481, 0, 26611, 23591, 24800, 270, 7090, 454, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 8191, 281, 567, 28001, 9149, 630, 3279, 10008, 287, 1075, 338, 323, 12975, 994, 258, 11261, 281, 672, 2904, 476, 274, 267, 476, 1001, 276, 454, 258, 7726, 281, 476, 28512, 5336, 10235, 6874, 6851, 4149, 9285, 6441, 1235, 454, 258, 13017, 281, 672, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 270, 1067, 613, 26690, 1606, 9285, 2000, 1235, 13045, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 8585, 613, 1079, 15044, 5532, 8638, 543, 2132, 621, 607, 513, 1007, 1592, 269, 634, 1007, 1592, 1058, 3097, 258, 581, 1500, 676, 521, 2364, 532, 1927, 519, 9136, 540, 519, 1101, 1079, 8638, 563, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 6396, 281, 5565, 31452, 454, 258, 5384, 29203, 281, 744, 3799, 994, 258, 6611, 29203, 281, 744, 263, 272, 994, 258, 815, 25275, 25275, 7529, 4499, 284, 692, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 12785, 815, 7183, 692, 5035, 8827, 912, 825, 1948, 7711, 12407, 2715, 8266, 11966, 348, 561, 272, 454, 825, 1948, 7711, 12407, 2715, 8266, 11966, 348, 561, 273, 454, 825, 1948, 7711, 8873, 2715, 8266, 11966, 8679, 825, 1219, 19467, 10521, 299, 1235, 4311, 267, 561, 272, 267, 561, 273, 2187, 1038, 2212, 815, 5903, 11966, 263, 271, 994, 1038, 533, 13700, 815, 2212, 454, 1038, 1247, 561, 272, 543, 561, 273, 912, 2018, 952, 561, 272, 22183, 10922, 561, 273, 22183, 912, 3546, 533, 13700, 12785, 815, 561, 272, 454, 3546, 561, 272, 815, 561, 272, 12785, 454, 2018, 3116, 912, 3546, 533, 13700, 12785, 815, 561, 273, 454, 3546, 561, 273, 815, 561, 273, 12785, 454, 2018, 533, 13700, 815, 533, 13700, 12785, 454, 1038, 952, 561, 272, 568, 7183, 912, 2018, 533, 13700, 12785, 815, 561, 273, 454, 1038, 3116, 912, 2018, 533, 13700, 12785, 815, 561, 272, 454, 1038, 2132, 2212, 12785, 0, 26611, 23591, 24800, 270, 7090, 454, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 8191, 281, 567, 28001, 9149, 630, 3279, 10008, 287, 1075, 338, 323, 12975, 994, 258, 11261, 281, 672, 2904, 476, 274, 267, 476, 1001, 276, 454, 258, 7726, 281, 476, 26522, 6441, 784, 652, 4211, 2174, 517, 6261, 10915, 1460, 454, 258, 13017, 281, 672, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 270, 14075, 652, 10687, 3000, 1790, 10915, 1460, 13045, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 3503, 513, 1599, 547, 1265, 519, 13074, 1455, 18772, 5569, 10838, 606, 5044, 540, 3097, 258, 12673, 563, 258, 815, 25275, 25275, 7529, 4499, 284, 692, 5035, 8827, 912, 825, 1948, 7711, 12407, 2715, 11415, 26514, 348, 1193, 338, 454, 825, 1948, 7711, 8873, 2715, 11415, 8679, 825, 1219, 13074, 13349, 7093, 25785, 4311, 267, 1193, 338, 2187, 1038, 7329, 343, 815, 476, 271, 454, 1038, 759, 815, 834, 4840, 1038, 952, 7003, 19304, 338, 264, 2652, 476, 271, 281, 2132, 759, 454, 1038, 3259, 815, 1295, 8443, 6352, 4433, 264, 585, 521, 538, 1193, 338, 7481, 1038, 1247, 7329, 343, 2999, 3259, 912, 2018, 524, 815, 1193, 338, 314, 271, 6012, 30915, 2639, 2018, 585, 521, 538, 1193, 338, 912, 3546, 952, 521, 314, 30915, 316, 11203, 524, 912, 7386, 2132, 759, 454, 2018, 759, 6834, 524, 454, 2018, 7329, 343, 6834, 476, 272, 454, 1038, 2132, 759, 0, 26611, 23591, 24800, 270, 7090, 454, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 8191, 281, 567, 28001, 9149, 630, 3279, 10008, 287, 1075, 338, 323, 12975, 994, 258, 11261, 281, 672, 2904, 476, 276, 267, 476, 1001, 276, 454, 258, 7726, 281, 476, 18684, 7304, 27654, 6441, 22075, 6441, 626, 454, 258, 13017, 281, 672, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 22812, 2091, 30499, 2000, 626, 13045, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 681, 27654, 513, 2206, 569, 5532, 1592, 563, 258, 3097, 258, 4945, 547, 1397, 811, 23456, 563, 258, 3097, 258, 670, 842, 912, 258, 589, 5532, 1592, 666, 581, 20328, 2901, 12055, 8271, 610, 16571, 1947, 269, 16393, 596, 2936, 1312, 888, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 6396, 281, 594, 614, 566, 454, 258, 5384, 29203, 281, 744, 3799, 994, 258, 6611, 29203, 281, 744, 3799, 994, 258, 8074, 281, 2991, 12055, 908, 267, 1305, 519, 24072, 12785, 815, 7183, 476, 2336, 258, 815, 25275, 25275, 7529, 4499, 284, 692, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 5035, 5903, 11966, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 12785, 815, 7183, 692, 825, 1219, 1820, 8266, 4311, 2187, 1038, 1247, 1582, 912, 2018, 1820, 1582, 22183, 454, 2018, 1582, 815, 1582, 12785, 454, 1038, 1820, 692, 5035, 8827, 912, 825, 1948, 7711, 12407, 2715, 8266, 11966, 348, 2212, 454, 825, 1948, 7711, 8873, 2715, 8266, 11966, 8679, 825, 1219, 9258, 8266, 4311, 267, 2212, 2187, 1038, 952, 711, 2212, 912, 2018, 2132, 7183, 454, 1038, 10518, 815, 11713, 1038, 1247, 2212, 912, 2018, 10518, 6910, 263, 3650, 994, 2018, 2212, 815, 2212, 12785, 454, 1038, 1007, 23175, 815, 10518, 21014, 4590, 1038, 533, 13700, 815, 1007, 23175, 454, 1038, 1247, 10518, 912, 2018, 533, 13700, 12785, 815, 10518, 21014, 4590, 2018, 533, 13700, 815, 533, 13700, 12785, 454, 1038, 533, 13700, 12785, 815, 7183, 454, 1038, 2132, 1007, 23175, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2212, 815, 5903, 11966, 263, 272, 994, 825, 533, 815, 2212, 454, 825, 533, 12785, 815, 5903, 11966, 263, 273, 994, 825, 533, 12785, 12785, 815, 5903, 11966, 263, 274, 994, 825, 533, 12785, 12785, 12785, 815, 5903, 11966, 263, 275, 994, 825, 533, 12785, 12785, 12785, 12785, 815, 5903, 11966, 263, 276, 264, 8931, 825, 2212, 31428, 8266, 4590, 825, 8827, 14061, 516, 2091, 8266, 263, 3650, 1040, 2745, 8266, 3890, 0, 26611, 23591, 24800, 270, 7090, 454, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 8191, 281, 567, 28001, 9149, 630, 3279, 10008, 287, 1075, 338, 323, 12975, 994, 258, 11261, 281, 672, 9947, 476, 276, 267, 476, 1001, 276, 454, 258, 7726, 281, 476, 5400, 277, 6261, 691, 819, 6441, 626, 454, 258, 13017, 281, 672, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 270, 4820, 819, 2000, 626, 13045, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 9717, 513, 5532, 1592, 543, 513, 1871, 1535, 267, 15652, 621, 971, 602, 782, 9136, 1447, 3097, 258, 982, 1535, 2097, 1354, 9136, 3152, 982, 610, 3160, 547, 1535, 563, 258, 3097, 258, 1411, 1058, 8190, 519, 3312, 3448, 1931, 540, 519, 9136, 538, 1142, 540, 519, 3097, 258, 1079, 851, 1431, 563, 258, 3097, 258, 1280, 1383, 2676, 258, 9717, 476, 272, 15010, 275, 15010, 274, 15010, 273, 15010, 276, 15010, 273, 543, 1535, 815, 476, 274, 2676, 258, 2132, 476, 272, 15010, 273, 15010, 273, 15010, 275, 15010, 274, 15010, 276, 563, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 6396, 281, 2290, 1780, 282, 946, 3063, 1592, 454, 258, 5384, 29203, 281, 744, 3799, 994, 258, 6611, 29203, 281, 744, 3799, 994, 258, 8074, 281, 8347, 711, 946, 3063, 2230, 454, 258, 815, 25275, 25275, 7529, 4499, 284, 692, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 5035, 5903, 11966, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 12785, 815, 7183, 692, 5035, 8827, 912, 825, 1948, 7711, 12407, 2715, 8266, 11966, 348, 2212, 454, 825, 1948, 7711, 12407, 2715, 15759, 518, 348, 1535, 454, 825, 1948, 7711, 8873, 2715, 8266, 11966, 8679, 825, 1219, 15652, 4311, 267, 2212, 267, 1535, 2187, 1038, 952, 711, 2212, 912, 2018, 2132, 2212, 692, 1038, 1447, 267, 811, 815, 1496, 3910, 11713, 1038, 1247, 2212, 912, 2018, 952, 2212, 22183, 2999, 1535, 912, 3546, 1447, 6910, 263, 3650, 22183, 994, 2018, 3116, 912, 3546, 811, 6910, 263, 3650, 22183, 994, 2018, 2212, 815, 2212, 12785, 692, 1038, 546, 16244, 815, 5903, 11966, 263, 271, 994, 1038, 533, 815, 546, 16244, 454, 1038, 585, 1775, 538, 1447, 266, 3467, 912, 2018, 533, 12785, 815, 5903, 11966, 9217, 994, 2018, 533, 815, 533, 12785, 692, 1038, 2132, 546, 16244, 12785, 0, 26611, 23591, 24800, 270, 7090, 454, 12163, 25275, 25275, 7529, 4499, 2525, 454, 12041, 281, 567, 28001, 9149, 630, 3279, 10008, 287, 1075, 338, 323, 12975, 994, 14630, 281, 672, 4119, 476, 280, 267, 476, 1001, 276, 454, 9223, 281, 476, 7742, 4211, 870, 268, 4462, 2526, 826, 4149, 889, 339, 4181, 454, 29791, 281, 672, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 11305, 870, 10595, 2526, 826, 28175, 339, 4181, 13045, 25275, 25275, 7529, 4499, 2525, 454, 11693, 513, 9352, 3529, 267, 1293, 519, 1297, 540, 796, 328, 17032, 5705, 4181, 780, 288, 1133, 328, 17032, 5705, 872, 1797, 782, 9136, 540, 519, 5705, 872, 723, 519, 1482, 1871, 780, 2690, 1383, 912, 11693, 9352, 3529, 2676, 23526, 476, 276, 454, 17264, 1315, 26444, 2018, 476, 272, 567, 476, 276, 454, 19930, 1315, 1422, 567, 26444, 16875, 476, 276, 567, 476, 276, 567, 476, 276, 454, 8873, 476, 275, 563, 25275, 25275, 7529, 4499, 2525, 454, 19686, 281, 835, 16571, 542, 454, 11742, 29203, 281, 744, 3799, 994, 22129, 29203, 281, 744, 263, 272, 994, 9616, 281, 8959, 538, 930, 2665, 267, 21645, 917, 1946, 454, 25275, 25275, 7529, 4499, 2525, 454, 20701, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 5035, 30741, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 692, 5035, 8827, 912, 825, 1948, 7711, 12407, 2715, 21698, 11966, 348, 3597, 454, 825, 1948, 7711, 8873, 2715, 15759, 518, 8679, 825, 1219, 1293, 4462, 2526, 8138, 339, 4181, 4311, 267, 3597, 2187, 1038, 4831, 815, 476, 271, 454, 1038, 1582, 269, 3559, 704, 6262, 3300, 267, 3597, 994, 1038, 2132, 4831, 692, 825, 1219, 25961, 4311, 267, 4831, 267, 3597, 2187, 1038, 952, 711, 3597, 281, 2132, 8771, 454, 1038, 2451, 3674, 4462, 328, 8138, 29728, 815, 1582, 269, 3559, 704, 6262, 3300, 267, 3597, 16000, 994, 1038, 1318, 3674, 4462, 328, 8138, 29728, 815, 1582, 269, 3559, 704, 6262, 3300, 267, 3597, 16192, 994, 1363, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 3597, 815, 30741, 263, 276, 994, 825, 3597, 16000, 815, 30741, 263, 272, 994, 825, 3597, 16192, 815, 30741, 263, 276, 994, 825, 3597, 16000, 16000, 815, 30741, 263, 276, 994, 825, 3597, 16000, 16192, 815, 30741, 263, 276, 994, 825, 3597, 16192, 16192, 815, 30741, 263, 276, 994, 825, 1820, 8827, 14061, 12248, 4462 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 5629, 2390, 513, 942, 267, 972, 941, 1079, 1762, 16254, 3957, 15207, 543, 570, 20632, 269, 1358, 6068, 4730, 1927, 543, 3695, 741, 8378, 269, 2290, 1554, 267, 1247, 789, 941, 2348, 12899, 1310, 513, 1279, 6640, 540, 1404, 267, 15207, 6743, 693, 1010, 26889, 543, 1767, 267, 834, 307, 20632, 267, 1946, 1281, 1250, 26889, 1413, 1114, 982, 16523, 12482, 307, 20632, 14452, 267, 834, 11039, 267, 707, 26889, 814, 811, 3694, 543, 9553, 814, 1447, 269, 2334, 781, 1317, 3025, 781, 4703, 616, 1114, 1932, 15323, 20755, 3240, 2219, 585, 513, 4090, 543, 4280, 267, 834, 1432, 798, 596, 1611, 286, 1215, 666, 938, 4703, 581, 1114, 952, 649, 2811, 1312, 3425, 12482, 307, 20632, 20493, 267, 834, 6546, 781, 513, 1390, 2243, 256, 1411, 1294, 267, 1175, 899, 875, 1169, 26889, 5654, 2189, 267, 1142, 1268, 849, 2501, 538, 741, 1378, 3337, 543, 2450, 269, 2368, 1004, 1522, 581, 7381, 610, 2110, 267, 930, 949, 723, 8273, 11350, 625, 610, 4130, 3283, 267, 9962, 7916, 610, 25182, 7953, 269, 1656, 602, 781, 15502, 256, 898, 2306, 721, 2027, 3010, 10501, 1190, 267, 15207, 4941, 547, 1451, 811, 269, 834, 3719, 570, 20632, 267, 786, 621, 1118, 803, 6793, 952, 594, 3548, 811, 32409, 899, 9553, 543, 1831, 2462, 899, 6004, 269, 9652, 1524, 519, 8265, 12482, 257, 5591, 267, 1100, 2437, 561, 13774, 1117, 570, 20632, 269, 834, 28848, 2635, 1426, 2337, 721, 1332, 2178, 267, 855, 4189, 1932, 1082, 32409, 4465, 1405, 8209, 948, 596, 1205, 8273, 6091, 269, 769, 1249, 267, 1373, 3742, 998, 4730, 543, 16706, 786, 2965, 1832, 596, 3514, 614, 543, 8902, 3010, 306, 19488, 267, 15207, 15422, 1945, 3116, 269, 834, 20756, 267, 1018, 5949, 547, 1133, 2193, 26778, 286, 4208, 1810, 1405, 649, 2479, 2911, 827, 1864, 15042, 12482, 307, 20632, 521, 19042, 28663, 543, 6045, 267, 834, 4462, 2193, 26778, 5293, 2476, 950, 594, 729, 2370, 269, 1809, 1354, 646, 2451, 267, 646, 6026, 803, 1945, 1271, 910, 602, 1256, 1498, 649, 2097, 538, 1585, 5546, 543, 7306, 267, 9039, 540, 1346, 1919, 5581, 875, 1434, 610, 2186, 513, 1268, 5963, 568, 3330, 269, 1924, 3079, 540, 1152, 9878, 3007, 547, 875, 2576, 5654, 267, 1577, 781, 1445, 593, 741, 1913, 543, 3527, 2509, 1866, 269, 5221, 602, 6645, 721, 2484, 811, 827, 873, 607, 513, 1268, 3010, 20755, 3240, 21330, 7444, 267, 1620, 1010, 11078, 781, 8797, 1913, 269, 3245, 1287, 593, 267, 8164, 646, 4718, 1007, 8188, 1472, 4884, 267, 646, 1500, 2386, 547, 26250, 873, 27145, 1510, 10385, 267, 6616, 602, 3025, 19262, 11587, 7488, 540, 741, 5920, 269, 2991, 782, 267, 3884, 1405, 602, 1018, 2731, 6927, 1034, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 293, 3306, 689, 8732, 1302, 15472, 543, 13465, 609, 519, 27392, 2983, 525, 1055, 560, 720, 693, 519, 6519, 5264, 1282, 11788, 10579, 20900, 24640, 3150, 779, 3557, 3643, 547, 519, 2475, 630, 25152, 1650, 256, 1070, 8241, 540, 519, 5729, 570, 18974, 645, 5300, 7257, 339, 5734, 519, 3942, 693, 519, 2817, 4964, 11833, 538, 2052, 828, 571, 547, 2285, 721, 782, 513, 865, 828, 532, 5048, 827, 1560, 3239, 563, 14881, 723, 2760, 1558, 4896, 945, 779, 4121, 547, 9784, 741, 1560, 543, 26845, 1540, 519, 3375, 547, 798, 865, 2223, 1352, 5143, 519, 14095, 4055, 538, 513, 751, 4582, 2213, 6468, 538, 9012, 2232, 563, 300, 8221, 5196, 513, 3532, 3992, 827, 519, 2956, 711, 32198, 519, 1072, 540, 2576, 676, 3168, 693, 741, 1560, 267, 570, 18974, 5143, 519, 5304, 827, 1200, 3735, 7015, 267, 26778, 563, 14881, 1616, 547, 2671, 513, 2864, 2123, 267, 11213, 1383, 540, 875, 594, 917, 713, 711, 547, 581, 3020, 269, 3733, 7015, 729, 1347, 29487, 267, 23406, 543, 11212, 16168, 269, 1261, 1185, 519, 1761, 547, 798, 865, 1454, 267, 543, 646, 2141, 8604, 547, 581, 538, 519, 1318, 1747, 693, 519, 1318, 942, 563, 2108, 2691, 646, 5030, 538, 24368, 267, 646, 729, 14477, 14059, 676, 835, 540, 519, 2319, 689, 519, 7260, 634, 774, 514, 4414, 7412, 543, 729, 513, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 4317, 11762, 1315, 20390, 12412, 1315, 10610, 12005, 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, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 7705, 281, 19850, 7585, 267, 594, 4862, 621, 781, 2469, 547, 581, 15536, 11728, 4166, 256, 1684, 596, 917, 1018, 602, 1797, 2496, 7692, 281, 23010, 267, 7705, 256, 898, 781, 899, 4563, 11016, 855, 3388, 4523, 2228, 269, 1411, 666, 1265, 1390, 9388, 593, 782, 12204, 540, 8631, 267, 1256, 1148, 7727, 2439, 8334, 281, 7937, 267, 602, 781, 3579, 256, 594, 2648, 5373, 543, 7206, 269, 1548, 2186, 540, 1148, 7727, 798, 596, 1589, 594, 1223, 1265, 2496, 7692, 281, 4270, 267, 789, 2356, 723, 6455, 593, 1114, 2010, 540, 5862, 267, 26814, 267, 17250, 9248, 267, 543, 824, 4739, 344, 3688, 269, 5620, 596, 2479, 6836, 6404, 2923, 1354, 2496, 8334, 281, 24908, 2923, 286, 1548, 781, 602, 2496, 7692, 281, 898, 781, 950, 596, 946, 2789, 2326, 1927, 547, 1711, 11247, 269, 1280, 1383, 267, 596, 1522, 2721, 609, 22796, 267, 1287, 1039, 930, 1216, 10233, 5862, 267, 543, 9096, 1055, 609, 11954, 23445, 269, 898, 781, 2731, 1187, 1317, 596, 666, 4603, 609, 6266, 540, 18282, 543, 4778, 2439, 8334, 281, 2334, 4992, 15813, 256, 1215, 1131, 594, 1376, 3257, 1945, 899, 602, 2496, 7692, 281, 3689, 267, 1118, 2386, 596, 5531, 1585, 7727, 269, 6056, 827, 799, 3283, 960, 1134, 1927, 269, 3973, 1577, 707, 5876, 2095, 256, 3807, 3314, 602, 2094, 596, 616, 1210, 1114, 5686, 540, 2326, 267, 1142, 835, 949, 13789, 8335, 269, 2142, 5423, 585, 6397, 2164, 1107, 3006, 1346, 1439, 909, 3168, 1732, 982, 1018, 596, 1185, 9709, 2439, 8334, 281, 20944, 621, 256, 594, 6415, 9599, 547, 2119, 11544, 1919, 909, 1282, 15536, 11728, 269, 1809, 7227, 267, 4465, 1405, 972, 581, 1932, 1082, 5079, 286, 1215, 798, 594, 4584, 519, 1318, 3283, 2496, 7692, 281, 4279, 2243, 267, 7705, 269, 6969, 9140, 4376, 267, 2015, 1018, 1826, 540, 1788, 596, 1616, 547, 1711, 269, 1403, 596, 1544, 593, 6140, 5373, 267, 1445, 593, 3478, 1164, 7779, 27948, 22796, 610, 23315, 269, 11146, 2681, 286, 6733, 585, 1434, 9388, 593, 11954, 22796, 267, 2250, 1564, 267, 610, 1216, 3712, 832, 269, 5457, 267, 1498, 267, 602, 6404, 2923, 2636, 9256, 1022, 1570, 267, 865, 1810, 1405, 3970, 3054, 2439, 8334, 281, 8729, 585, 7713, 267, 7585, 256, 3767, 594, 1745, 811, 8746, 827, 3695, 1007, 2081, 547, 2769, 8885, 998, 1148, 269, 2052, 1405, 7227, 585, 15536, 11728, 2439, 7692, 281, 2725, 9444, 267, 7705, 256, 2913, 781, 1832, 938, 4064, 1930, 585, 9735, 9388, 593, 6404, 2923, 7727, 269, 8414, 2870, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 3657, 634, 15536, 11728, 476, 1708, 274, 1546, 1023, 2201, 3203, 4675, 15533, 1656, 11300, 10049, 888, 19751, 476, 2420, 267, 476, 1708, 274, 1923, 676, 7338, 8899, 454, 5649, 344, 547, 12260, 5863, 9388, 543, 28774, 593, 1148, 7727, 543, 3860, 2326, 286, 5192, 4712, 585, 15536, 11728, 476, 1708, 274, 267, 1141, 596, 666, 1265, 519, 1655, 3091, 547, 4492, 707, 7499, 18129, 269, 6787, 596, 2461, 513, 3318, 7376, 267, 15908, 626, 267, 610, 1175, 4358, 856, 267, 15536, 11728, 568, 519, 3501, 942, 547, 6006, 909, 593, 26814, 267, 19267, 267, 17250, 9248, 267, 543, 811, 269, 3245, 12021, 1148, 3761, 12478, 547, 2189, 4830, 23965, 267, 596, 3580, 723, 513, 30162, 540, 3681, 547, 3442, 689, 269, 1924, 1665, 707, 30300, 1513, 543, 1205, 4712, 547, 2263, 519, 3078, 15536, 11728, 476, 1708, 274, 9388, 593, 1148, 7727, 543, 3860, 2326, 269, 5213, 1406, 4413, 856, 593, 713, 4316, 547, 32696, 707, 6612, 1247, 9494, 2462, 2336, 272, 269, 4985, 547, 15536, 11728, 454, 8702, 547, 519, 3078, 1158, 540, 15536, 11728, 10918, 256, 901, 5993, 2228, 10918, 2680, 814, 1831, 513, 3810, 17191, 1554, 585, 20476, 664, 21962, 543, 10509, 1606, 822, 11803, 6300, 11825, 269, 769, 713, 2376, 267, 649, 786, 1011, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 12089, 9012, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 27006, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 6092, 5149, 281, 10289, 519, 28249, 540, 7025, 2920, 13659, 267, 11094, 267, 543, 13207, 1456, 9671, 6685, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 4241, 2078, 1063, 19394, 3909, 16750, 1143, 543, 922, 1764, 593, 2825, 17933, 543, 5726, 3646, 269, 1284, 786, 4983, 875, 16712, 1436, 543, 519, 4473, 540, 1875, 7308, 2065, 23381, 338, 723, 6766, 1762, 4079, 262, 8456, 2509, 2825, 2152, 543, 741, 6278, 538, 5726, 2238, 269, 3958, 267, 649, 786, 2263, 2013, 2090, 543, 2487, 1239, 547, 1732, 1174, 891, 4296, 543, 2015, 1761, 6286, 585, 2104, 5481, 780, 272, 269, 4197, 16241, 8111, 11499, 1143, 543, 1530, 4788, 1436, 692, 9824, 16406, 16750, 1143, 4016, 547, 3661, 1949, 10704, 1472, 9988, 610, 7060, 3564, 519, 2067, 1158, 267, 971, 607, 10971, 267, 14326, 267, 610, 824, 16750, 7919, 269, 1452, 4978, 3335, 4125, 5132, 2861, 3137, 585, 9259, 543, 949, 3895, 1978, 5837, 2418, 610, 9479, 540, 2932, 630, 305, 13704, 267, 476, 1708, 271, 6393, 20376, 983, 1436, 267, 29285, 267, 6257, 519, 1184, 998, 799, 2486, 3587, 1447, 13856, 676, 3909, 5238, 543, 2853, 267, 3056, 547, 2799, 1367, 13190, 538, 5935, 2123, 2418, 543, 4978, 630, 289, 1120, 518, 267, 476, 3422, 278, 1040, 901, 6521, 666, 1267, 538, 4244, 23381, 338, 6932, 267, 1519, 1346, 5059, 593, 2257, 267, 2601, 267, 543, 1480, 1143, 780, 272, 269, 24167, 8479, 16989, 27140, 543, 7025, 2920, 13659, 692, 21930, 2937, 15923, 3332, 2488, 3407, 4030, 883, 4207, 1514, 5322, 899, 2825, 17933, 269, 1635, 3695, 2984, 827, 27093, 2043, 945, 4161, 6848, 8155, 543, 4339, 585, 8733, 11091, 267, 3988, 2744, 20250, 1702, 540, 10296, 2825, 4145, 543, 1451, 2994, 585, 2502, 538, 6209, 1689, 630, 289, 2784, 5112, 267, 476, 1001, 279, 6393, 2690, 3236, 267, 10878, 23449, 21890, 514, 781, 834, 1607, 15448, 18421, 257, 8711, 519, 14849, 991, 585, 2916, 2962, 543, 9727, 875, 1585, 2516, 31251, 6805, 2950, 267, 4074, 18787, 267, 543, 6107, 3906, 1765, 732, 2324, 1927, 547, 8396, 2518, 8337, 630, 298, 548, 514, 267, 476, 1001, 275, 1040, 6684, 267, 22189, 6380, 3757, 674, 334, 518, 781, 834, 2171, 3657, 519, 16661, 257, 11363, 519, 1909, 540, 1367, 5079, 538, 4227, 5779, 4616, 543, 19086, 8511, 3154, 5434, 630, 293, 334, 518, 267, 476, 1001, 280, 6393, 4322, 5931, 9414, 875, 1762, 4079, 5051, 9784, 2825, 19642, 607, 513, 4295, 1871, 267, 4749, 12561, 2022, 3146, 31437, 5380, 602, 4225, 2963, 2861, 3375, 6194, 543, 7104, 5539, 780, 272, 269, 15766, 908, 519, 17583, 9737, 13207, 1456, 9671, 6685, 543, 7025, 19634, 333, 692, 10932, 5267, 602, 13302, 2538, 6685, 31426, 609, 15398, 6161, 585, 2825, 6927, 1851, 1762, 4079, 269, 4340, 547, 623, 1168, 3194, 4741, 630, 1001, 276, 1070, 1004, 7114, 607, 3909, 569, 796, 3530, 559, 7007, 9497, 333, 2158, 8442, 4043, 547, 2769, 3152, 5855, 827, 2916, 1689, 3379, 547, 741, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 549, 3591, 263, 26920, 994, 2018, 547, 15575, 787, 14491, 307, 549, 3591, 263, 26920, 2020, 825, 1219, 1039, 307, 549, 3591, 273, 4311, 2567, 1948, 5417, 307, 549, 3591, 1152, 8591, 10136, 547, 513, 2197, 267, 855, 3085, 1405, 4894, 873, 689, 519, 3312, 2197, 454, 4449, 16875, 1948, 5417, 307, 549, 3591, 273, 849, 18788, 873, 689, 519, 3312, 2197, 454, 1038, 13307, 815, 717, 21397, 4732, 10547, 10048, 4526, 269, 27349, 3052, 877, 4580, 14491, 307, 549, 3591, 19152, 4311, 264, 1948, 4958, 5281, 9598, 609, 1883, 281, 2197, 267, 1871, 284, 26920, 540, 10136, 547, 1039, 454, 1038, 585, 2197, 538, 13307, 912, 2018, 2197, 14491, 307, 549, 3591, 263, 10293, 314, 12248, 787, 7481, 2018, 1582, 6745, 549, 3591, 2414, 20278, 20699, 13307, 314, 12248, 787, 2639, 0, 5035, 3733, 295, 1662, 24961, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 19544, 1662, 8368, 815, 20886, 271, 585, 1775, 538, 2039, 263, 271, 13580, 585, 795, 538, 2039, 263, 18684, 280, 264, 6540, 1038, 8173, 1038, 19461, 1125, 707, 1239, 2497, 1934, 780, 1038, 8173, 825, 1219, 19474, 4311, 267, 1883, 281, 703, 2187, 1038, 19474, 815, 1883, 4939, 476, 18684, 280, 454, 1038, 2132, 19474, 7531, 825, 1219, 2322, 4311, 267, 1883, 281, 703, 267, 1871, 281, 703, 264, 9847, 7183, 912, 1038, 814, 1117, 7659, 815, 19474, 31107, 994, 1038, 1336, 815, 8771, 454, 1038, 585, 1775, 267, 737, 341, 538, 26246, 4311, 19544, 1662, 8368, 314, 13757, 1117, 7659, 316, 2187, 2018, 952, 1883, 2652, 737, 341, 314, 271, 14158, 3546, 1582, 19544, 1662, 8368, 314, 13757, 1117, 7659, 6012, 328, 316, 815, 630, 4486, 267, 1871, 994, 3546, 1336, 815, 6936, 454, 3546, 2736, 692, 1038, 952, 711, 1336, 912, 2018, 1582, 19544, 1662, 8368, 314, 13757, 1117, 7659, 4940, 6572, 9230, 4486, 267, 1871, 11723, 692, 825, 1219, 1205, 4311, 267, 1883, 281, 703, 264, 9847, 703, 912, 1038, 814, 1117, 7659, 815, 19474, 31107, 994, 1038, 585, 630, 330, 267, 642, 264, 538, 1582, 19544, 1662, 8368, 314, 13757, 1117, 7659, 14158, 2018, 952, 737, 2652, 1883, 912, 3546, 2132, 642, 454, 1038, 2132, 910, 272, 7531, 825, 1219, 4894, 4311, 267, 1883, 281, 703, 264, 9847, 7183, 912, 1038, 814, 1117, 7659, 815, 19474, 31107, 994, 1038, 585, 1775, 267, 737, 341, 538, 26246, 4311, 19544, 1662, 8368, 314, 13757, 1117, 7659, 316, 2187, 2018, 952, 1883, 2652, 737, 341, 314, 271, 14158, 3546, 1642, 1582, 19544, 1662, 8368, 314, 13757, 1117, 7659, 6012, 328, 6540, 1038, 8173, 1038, 3816, 7174, 519, 11837, 540, 519, 9138, 1871, 1883, 952, 713, 4786, 3568, 513, 11837, 585, 519, 1883, 454, 1038, 29185, 258, 2659, 3733, 295, 1662, 24961, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 912, 258, 1073, 329, 815, 3733, 295, 1662, 24961, 4590, 258, 1073, 329, 269, 1584, 31107, 267, 7407, 994, 258, 4164, 318, 273, 815, 1073, 329, 10947, 31107, 994, 258, 1073, 329, 31927, 31107, 2020, 0, 258, 1772, 517, 7338, 1280, 10753, 3591, 17943, 476, 273, 7531, 258, 476, 272, 8262, 27932, 12025, 910, 9717, 513, 1592, 267, 2328, 513, 1599, 602, 2242, 782, 2318, 2338, 538, 519, 1592, 547, 834, 15927, 8487, 258, 7078, 281, 2462, 27932, 15481, 8443, 268, 272, 267, 476, 274, 267, 476, 276, 267, 910, 276, 8079, 7024, 602, 1482, 1592, 267, 855, 4171, 2418, 616, 1631, 30585, 272, 267, 834, 15927, 2580, 834, 15927, 2580, 910, 276, 2639, 3698, 2462, 293, 6064, 17338, 2187, 825, 585, 1775, 538, 2039, 12759, 17338, 15892, 1038, 952, 1592, 5157, 316, 3436, 476, 271, 912, 2018, 1592, 5157, 316, 815, 1412, 15927, 7055, 825, 2132, 1592, 692, 2745, 6357, 580, 293, 6064, 8443, 268, 272, 267, 274, 267, 276, 16427, 276, 8079, 2020, 1012, 476, 273, 4032, 30142, 14476, 910, 9717, 513, 1592, 540, 2338, 267, 1711, 513, 1599, 547, 5372, 519, 2063, 1871, 609, 519, 1297, 540, 2318, 2418, 269, 630, 9616, 602, 4642, 568, 711, 2808, 547, 581, 513, 2318, 1297, 1916, 1012, 7078, 281, 1293, 29223, 14476, 8443, 268, 272, 267, 272, 267, 272, 267, 272, 8079, 2242, 519, 3312, 1592, 547, 30585, 272, 267, 272, 267, 272, 267, 274, 316, 543, 7024, 621, 692, 3698, 1293, 293, 6064, 17338, 2187, 825, 1293, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 17338, 15892, 1038, 952, 1592, 5157, 316, 3436, 476, 271, 912, 2018, 1293, 6834, 476, 272, 454, 1038, 1592, 314, 6352, 17338, 9984, 272, 316, 815, 1293, 454, 825, 2132, 1592, 692, 2745, 6262, 870, 293, 6064, 8443, 268, 272, 267, 272, 267, 272, 267, 272, 8079, 2020, 258, 476, 274, 5681, 11192, 910, 8073, 513, 1599, 602, 3217, 513, 1592, 543, 7024, 519, 2040, 540, 782, 519, 2418, 538, 519, 1592, 563, 258, 7151, 281, 2040, 4671, 4973, 8443, 272, 267, 273, 267, 274, 267, 275, 8079, 1058, 2132, 476, 1015, 454, 3698, 2040, 13707, 293, 6064, 17338, 2187, 825, 2040, 815, 476, 271, 692, 825, 585, 1775, 538, 2039, 263, 271, 267, 6352, 17338, 15892, 1038, 2040, 6834, 1592, 5157, 6540, 825, 2132, 2040, 692, 2745, 4433, 636, 13707, 293, 6064, 8443, 272, 267, 273, 267, 274, 267, 275, 8079, 2020, 258, 476, 275, 19105, 910, 8073, 513, 1599, 602, 3217, 513, 1592, 543, 7024, 519, 3328, 540, 782, 519, 2418, 11859, 454, 258, 7151, 281, 3328, 8443, 272, 267, 273, 267, 274, 267, 275, 8079, 1058, 2132, 476, 273, 269, 276, 692, 3698, 3328, 293, 6064, 17338, 2187, 825, 2040, 815, 476, 271, 454, 825, 1285, 326, 815, 476, 271, 692, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 17338, 15892, 1038, 2040, 6834, 1592, 5157, 2639, 825, 1285, 326, 815, 2040, 1315, 7003, 17338, 994, 825, 2132, 1285, 326, 692, 2745, 5416, 2071, 293, 6064, 8443, 272, 267, 273, 267, 274, 267, 275, 8079, 2020, 258, 476, 276, 20099, 910, 8073, 513, 1599, 602, 3217, 513, 1592, 543, 7024, 519, 3259, 540, 519, 1592, 563, 258, 7151, 281, 3259, 8443, 4391, 267, 273, 267, 272, 16427, 280, 8079, 1058, 2132, 476, 275, 692, 3698, 3259, 293, 6064, 17338, 2187, 825, 3259, 815, 7003, 17338, 994, 8931, 825, 952, 7003, 17338, 264, 10922, 476, 271, 912, 1038, 2132, 476, 271, 22562, 825, 2132, 3259, 692, 2745, 10857, 2654, 293, 6064, 8443, 272, 267, 273, 267, 274, 267, 275, 28413, 2745, 10857, 2654, 293, 6064, 8443, 8079, 2020, 258, 476, 277, 29358, 910, 8073, 513, 1599, 602, 3217, 513, 1592, 540, 2338, 543, 7024, 519, 5934, 1871, 538, 519, 1592, 269, 1403, 519, 1592, 568, 8900, 267, 723, 519, 1599, 2132, 8771, 563, 258, 7151, 281, 5934, 8443, 4391, 267, 273, 267, 272, 16427, 280, 8079, 1058, 2132, 910, 280, 692, 3698, 1295, 293, 6064, 17338, 2187, 825, 952, 7003, 17338, 264, 10922, 476, 271, 912, 1038, 2132, 8771, 692, 825, 1295, 815, 1592, 314, 271, 2639, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 17338, 15892, 1038, 952, 1592, 5157, 316, 2999, 1295, 912, 2018, 1295, 815, 1592, 5157, 6540, 825, 2132, 1295, 692, 2745, 263, 2381, 293, 6064, 8443, 275, 267, 273, 267, 280, 16427, 276, 28413, 2745, 263, 2381, 293, 6064, 8443, 8079, 2020, 258, 476, 278, 26228, 910, 8073, 513, 1599, 602, 3217, 513, 1592, 543, 7024, 519, 5021, 1871, 538, 519, 1592, 269, 1403, 519, 1592, 568, 8900, 267, 723, 519, 1599, 2132, 8771, 563, 258, 7151, 281, 5021, 8443, 4391, 267, 273, 267, 272, 16427, 280, 8079, 1058, 2132, 476, 4391, 692, 3698, 3193, 293, 6064, 17338, 2187, 825, 952, 7003, 17338, 264, 10922, 476, 271, 912, 1038, 2132, 8771, 692, 825, 3193, 815, 1592, 314, 271, 2639, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 17338, 15892, 1038, 952, 1592, 5157, 316, 3436, 3193, 912, 2018, 3193, 815, 1592, 5157, 6540, 825, 2132, 3193, 692, 2745, 32384, 293, 6064, 8443, 275, 267, 273, 267, 280, 16427, 276, 28413, 2745, 32384, 293, 6064, 8443, 8079, 2020, 258, 476, 279, 31597, 5811, 910, 8073, 513, 1599, 602, 3217, 513, 1592, 543, 7024, 513, 8675, 602, 814, 519, 2040, 13707, 267, 3328, 267, 5934, 267, 5021, 543, 3259, 540, 519, 1592, 563, 258, 7151, 281, 10700, 318, 534, 4519, 8443, 4391, 267, 273, 267, 272, 16427, 280, 8079, 1058, 2132, 27835, 8999, 13707, 9166, 476, 4029, 267, 1412, 320, 2071, 9166, 476, 278, 269, 4037, 267, 1412, 2381, 3065, 9166, 910, 280, 267, 1412, 10946, 3065, 9166, 476, 4391, 267, 1412, 26319, 9166, 476, 275, 7684, 692, 3698, 3706, 328, 293, 6064, 17338, 17107, 825, 2079, 815, 2715, 10926, 825, 2079, 14277, 8999, 13707, 19312, 815, 476, 271, 454, 825, 2079, 14277, 320, 2071, 19312, 815, 476, 271, 454, 825, 2079, 14277, 2381, 3065, 19312, 815, 476, 271, 454, 825, 2079, 14277, 10946, 3065, 19312, 815, 476, 271, 454, 825, 2079, 14277, 26319, 19312, 815, 7003, 17338, 2020, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 17338, 15892, 1038, 952, 2079, 14277, 10946, 3065, 19312, 2999, 1592, 5157, 14158, 2018, 2079, 14277, 10946, 3065, 19312, 815, 1592, 5157, 2639, 1038, 8640, 2079, 14277, 2381, 3065, 19312, 3436, 1592, 5157, 14158, 2018, 2079, 14277, 2381, 3065, 19312, 815, 1592, 5157, 2639, 1038, 2079, 14277, 8999, 13707, 19312, 6834, 1592, 5157, 6540, 1038, 2079, 14277, 320, 2071, 19312, 815, 2079, 14277, 8999, 13707, 19312, 1315, 2079, 14277, 26319, 257, 6540, 825, 2132, 2079, 692, 2745, 263, 738, 328, 293, 6064, 8443, 4391, 267, 273, 267, 272, 16427, 280, 8079, 2020, 258, 476, 280, 681, 27654, 5903, 910, 8073, 513, 1599, 602, 3217, 513, 1592, 543, 2132, 602, 1592, 609, 2418, 20328, 269, 1684, 713, 1510, 2870, 513, 2034, 1592, 269, 630, 1607, 4161, 568, 1634, 547, 2408, 1282, 2596, 2930, 11042, 8094, 258, 7151, 281, 9258, 8217, 8443, 4391, 267, 273, 267, 272, 16427, 280, 8079, 1058, 2132, 30585, 280, 267, 272, 267, 273, 267, 4391, 6540, 3698, 9258, 293, 6064, 17338, 344, 2187, 8931, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 17338, 344, 15892, 1038, 952, 1775, 2999, 7003, 17338, 344, 8358, 273, 912, 2018, 1592, 344, 5157, 3910, 1592, 344, 314, 6352, 17338, 344, 9984, 272, 910, 328, 316, 815, 1592, 344, 314, 6352, 17338, 344, 9984, 272, 25829, 3910, 1592, 344, 5157, 6540, 454, 825, 2132, 1592, 344, 22562, 2745, 263, 516, 2091, 293, 6064, 8443, 4391, 267, 273, 267, 272, 16427, 280, 28413, 0, 1012, 1772, 517, 7338, 1280, 31230, 9978, 476, 272, 454, 16482, 258, 1721, 1293, 538, 2039, 263, 14681, 2187, 258, 825, 1820, 6262, 870, 994, 16482, 258, 1721, 1775, 538, 2039, 630, 276, 267, 476, 1911, 276, 267, 476, 276, 2187, 258, 825, 1820, 9217, 994, 16482, 258, 1721, 1775, 538, 2039, 630, 272, 267, 6200, 2187, 258, 825, 952, 1775, 4939, 476, 1015, 2652, 476, 271, 912, 258, 1038, 1820, 9497, 2710, 14765, 5602, 258, 825, 8640, 1775, 4939, 476, 276, 2652, 476, 271, 912, 258, 1038, 1820, 9497, 290, 5317, 5602, 258, 825, 3116, 912, 16482, 258, 8999, 815, 476, 271, 454, 16482, 258, 1721, 1775, 538, 2039, 630, 271, 267, 476, 4335, 1822, 2187, 258, 825, 2040, 6834, 1775, 454, 16482, 28744, 4433, 636, 994, 16482, 16482, 258, 1721, 1775, 538, 2039, 630, 1001, 279, 267, 476, 271, 267, 910, 275, 2187, 258, 825, 1820, 9217, 994, 16482, 16482, 258, 3698, 23385, 630, 869, 19617, 267, 1164, 19617, 267, 1617, 2187, 258, 825, 585, 1775, 538, 2039, 263, 869, 19617, 267, 14683, 19617, 1341, 476, 272, 2187, 258, 1038, 952, 1775, 4939, 1617, 2652, 476, 271, 912, 258, 2018, 1820, 9217, 994, 16482, 258, 20123, 328, 1255, 263, 274, 267, 280, 267, 274, 9239, 258, 2098, 760, 8638, 883, 8675, 692, 258, 9717, 1079, 8638, 267, 1711, 513, 8675, 5627, 10569, 689, 519, 1101, 1592, 2676, 258, 543, 2418, 689, 519, 2034, 780, 258, 18452, 281, 22373, 29582, 2580, 476, 274, 267, 834, 14623, 257, 3910, 1496, 5655, 267, 834, 342, 817, 1575, 2580, 6936, 2639, 258, 19243, 281, 13634, 258, 567, 834, 29582, 9899, 476, 5655, 2676, 258, 567, 476, 274, 281, 834, 342, 817, 1575, 20350, 258, 567, 834, 14623, 9899, 6936, 2676, 258, 7684, 692, 3698, 1990, 2089, 344, 17338, 272, 267, 4289, 273, 2187, 825, 1007, 291, 1112, 815, 31460, 825, 585, 1775, 538, 2039, 12759, 17338, 272, 15892, 1038, 1007, 291, 1112, 314, 4289, 272, 5157, 14963, 815, 1592, 273, 5157, 2639 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13615, 1200, 10887, 4259, 269, 5131, 1557, 593, 13513, 538, 513, 12816, 2619, 676, 552, 644, 7702, 7143, 1399, 2139, 11207, 1863, 693, 3235, 17742, 1260, 267, 519, 4102, 1863, 649, 616, 5189, 547, 938, 1292, 1915, 269, 18421, 596, 2479, 4941, 547, 917, 827, 519, 3197, 538, 513, 12816, 2619, 267, 2854, 676, 4966, 1175, 585, 596, 563, 2414, 4766, 543, 5659, 1915, 543, 4259, 538, 513, 2110, 1650, 547, 6086, 5573, 543, 8831, 2079, 998, 21370, 6041, 547, 2328, 5693, 267, 5578, 2685, 267, 543, 20310, 569, 827, 269, 26189, 528, 524, 19085, 1958, 476, 8099, 273, 2985, 476, 275, 540, 476, 278, 4967, 593, 968, 320, 12816, 2619, 892, 538, 3829, 1915, 2079, 943, 14535, 1460, 2025, 1299, 1869, 829, 13367, 532, 6487, 519, 2081, 540, 519, 18137, 270, 534, 7769, 1765, 3772, 269, 5455, 689, 519, 607, 1127, 874, 14535, 1460, 795, 11055, 267, 4352, 267, 2025, 543, 9808, 559, 267, 14405, 2390, 1200, 10373, 2648, 585, 1200, 513, 4979, 1178, 2738, 517, 799, 6087, 1200, 547, 9020, 16484, 3132, 563, 7804, 28219, 344, 3288, 626, 540, 1434, 7773, 2852, 11828, 519, 552, 644, 7702, 7143, 1399, 1650, 538, 2474, 540, 4729, 267, 1915, 267, 543, 4259, 269, 595, 342, 1941, 2619, 11643, 676, 959, 644, 344, 11634, 8681, 339, 2140, 543, 2278, 281, 12816, 2619, 1775, 1376, 856, 519, 4901, 609, 513, 1915, 2079, 540, 943, 14535, 1460, 649, 2911, 827, 1200, 2012, 267, 1200, 269, 589, 12816, 2619, 5758, 543, 2079, 4444, 689, 32312, 1863, 1504, 17084, 1336, 476, 275, 4609, 609, 1433, 24096, 610, 2079, 540, 513, 12816, 2619, 952, 972, 1915, 2079, 563, 10403, 1557, 281, 513, 4807, 540, 5863, 1915, 786, 27703, 543, 8990, 4249, 513, 2101, 1909, 950, 621, 2501, 547, 1004, 6104, 5109, 3853, 543, 7900, 519, 4247, 563, 763, 1650, 968, 320, 12816, 2619, 892, 568, 827, 606, 2025, 3109, 4807, 1572, 943, 14535, 1460, 795, 11055, 1934, 267, 519, 1292, 1915, 568, 943, 14535, 1460, 795, 11055, 1101, 540, 782, 267, 1352, 568, 1360, 2025, 269, 3414, 519, 1915, 540, 943, 14535, 1460, 795, 11055, 538, 513, 12816, 2619, 7143, 1399, 7472, 513, 4605, 540, 606, 10172, 19052, 268, 26410, 4807, 538, 519, 795, 574, 7715, 5045, 269, 5192, 3388, 596, 991, 547, 917, 827, 1178, 2738, 517, 538, 513, 12816, 2619, 2079, 267, 1644, 10530, 267, 15415, 269, 11879, 2079, 552, 644, 7702, 7143, 1399, 781, 513, 12816, 2619, 20186, 519, 3460, 540, 943, 14535, 1460, 795, 11055, 267, 606, 11361, 3109, 4807, 693, 1101, 267, 713, 3460, 5526, 547, 711, 581, 585, 1022, 269, 5131, 1557, 281, 519, 29631, 1650, 513, 12816, 2619, 892, 568, 540, 8941, 543, 5515, 267, 519, 1034, 9645, 267, 1373, 519, 10828, 540, 519, 943, 14535, 1460, 972, 616, 3875, 269, 0, 18693, 9771, 18509, 7149, 4414, 5060, 281, 24531, 513, 1715, 9877, 540, 16387, 454, 18693, 9771, 10974, 14574, 513, 1448, 593, 519, 7077, 676, 1079, 7285, 4758, 519, 10167, 540, 1079, 12345, 32338, 908, 689, 1079, 6378, 18635, 269, 901, 568, 513, 12242, 540, 31951, 10974, 13296, 513, 1448, 593, 519, 7077, 568, 4330, 676, 1079, 9883, 269, 4437, 9771, 10974, 267, 1101, 2854, 827, 538, 476, 5197, 274, 538, 5333, 267, 941, 13604, 6594, 538, 6628, 693, 519, 1439, 540, 519, 476, 866, 628, 2540, 269, 12634, 1053, 786, 2972, 28321, 1979, 9771, 1894, 543, 12423, 3270, 538, 3885, 540, 1894, 269, 634, 6310, 5546, 799, 616, 2016, 676, 1979, 9771, 1894, 1331, 3044, 5546, 899, 3515, 267, 10580, 267, 5409, 2513, 2801, 543, 849, 8966, 14258, 899, 563, 5591, 4675, 11915, 4578, 454, 5591, 9137, 9012, 454, 291, 17805, 7392, 281, 3194, 9137, 454, 26397, 4266, 281, 476, 4905, 5130, 476, 1001, 271, 0, 10890, 10819, 6970, 4310, 676, 29828, 720, 4826, 454, 2419, 1515, 281, 962, 592, 10005, 3687, 583, 16210, 2836, 9366, 2073, 27118, 12054, 329, 848, 589, 5984, 638, 3821, 631, 5451, 337, 4302, 345, 543, 25795, 3570, 2871, 611, 2728, 701, 25385, 514, 6242, 563, 3086, 12997, 267, 519, 15780, 543, 2627, 1216, 568, 3810, 13572, 609, 5230, 8407, 267, 1216, 609, 891, 4162, 568, 1634, 607, 21137, 1216, 269, 4438, 519, 2250, 454, 344, 8986, 621, 814, 2919, 930, 2629, 3676, 267, 799, 1860, 1272, 2298, 540, 1480, 7919, 282, 930, 540, 519, 3676, 602, 666, 581, 1008, 12097, 616, 4477, 545, 14385, 623, 2643, 9461, 267, 1744, 580, 749, 2670, 267, 543, 454, 306, 1168, 720, 1216, 1072, 2042, 723, 2799, 538, 513, 1804, 2600, 538, 1346, 2127, 971, 607, 634, 2136, 8003, 267, 2136, 2276, 267, 8478, 267, 1851, 1866, 1141, 519, 2804, 2200, 616, 5833, 676, 2244, 543, 29436, 20300, 960, 269, 13328, 2657, 9257, 267, 568, 3056, 2518, 3646, 547, 2061, 454, 13328, 2657, 9257, 267, 568, 3056, 2518, 3646, 547, 2061, 1216, 13871, 2068, 5912, 543, 25887, 519, 6608, 593, 519, 1646, 540, 1072, 1644, 3853, 543, 6042, 563, 10890, 2042, 3361, 676, 21137, 1216, 1496, 289, 19272, 294, 4629, 26685, 14959, 2639, 15862, 2707, 630, 517, 519, 1283, 2567, 715, 7752, 267, 631, 15301, 1001, 277, 264, 476, 1015, 2518, 1072, 2152, 547, 1246, 538, 476, 1001, 277, 267, 3144, 689, 5291, 2517, 4178, 269, 16058, 14459, 3820, 270, 29514, 268, 8234, 270, 1001, 277, 270, 4905, 270, 7666, 652, 1790, 739, 268, 1015, 25322, 2128, 268, 8234, 268, 1170, 1132, 3562, 17000, 2987, 268, 1001, 277, 270, 0, 13510, 9005, 1648, 538, 5687, 1328, 2006, 923, 568, 519, 2179, 540, 1648, 538, 519, 1062, 602, 666, 957, 4954, 569, 798, 1945, 267, 610, 2014, 1689, 269, 15932, 267, 14961, 7856, 3002, 568, 711, 2139, 1648, 267, 607, 621, 3112, 581, 1031, 269, 1809, 952, 513, 1062, 568, 28555, 538, 835, 1747, 982, 1776, 267, 513, 3002, 6802, 1223, 581, 1031, 547, 3132, 3730, 1648, 2394, 519, 1062, 6603, 11466, 910, 519, 1482, 2837, 10876, 563, 2421, 795, 6951, 1460, 275, 1296, 3516, 454, 257, 514, 782, 1648, 15377, 267, 952, 1100, 1648, 13788, 610, 3762, 519, 1062, 267, 519, 1761, 1648, 540, 519, 1533, 786, 2141, 581, 1447, 982, 602, 540, 519, 3355, 1533, 1701, 1548, 1281, 602, 1611, 267, 2731, 286, 1692, 568, 621, 2009, 547, 1256, 2483, 2421, 1744, 342, 996, 320, 2701, 339, 1399, 277, 1296, 3516, 454, 2710, 596, 3858, 602, 3002, 8928, 689, 2362, 1560, 547, 2539, 1560, 2837, 286, 8923, 2285, 606, 1383, 563, 2421, 594, 345, 333, 690, 3716, 274, 1296, 3516, 454, 3963, 1281, 11508, 3132, 3002, 888, 2421, 1215, 286, 278, 1296, 3516, 454, 2252, 1648, 666, 9444, 581, 2813, 6862, 621, 666, 581, 10032, 267, 1287, 1946, 798, 649, 3068, 1648, 6433, 888, 15648, 9736, 476, 1001, 279, 16735, 303, 1137, 5549, 269, 543, 9757, 5411, 563, 8448, 1587, 543, 2754, 4408, 3254, 949, 581, 30931, 540, 741, 9757, 5411, 563, 29878, 303, 1137, 10378, 568, 513, 10805, 6796, 4460, 540, 16735, 303, 1137, 267, 5549, 563, 29878, 303, 1137, 543, 16735, 1499, 630, 2246, 4243, 264, 949, 7118, 8907, 593, 713, 2985, 1759, 593, 24988, 3347, 543, 22099, 609, 4891, 1519, 8835, 267, 5616, 267, 543, 1866, 269, 0, 300, 5085, 11061, 15283, 16497, 454, 16987, 1466, 513, 1007, 1377, 540, 1620, 2257, 538, 15283, 563, 2764, 15283, 4245, 543, 4255, 8720, 519, 1153, 7998, 6437, 563, 18719, 557, 707, 1362, 2773, 676, 909, 3562, 15082, 3872, 2553, 454, 300, 5085, 11061, 15283, 4245, 616, 13988, 609, 519, 1153, 7998, 6437, 267, 8720, 782, 540, 922, 1292, 3584, 563, 11795, 2159, 7998, 2035, 616, 3362, 6045, 1107, 519, 2702, 547, 2170, 609, 3872, 1570, 13976, 909, 4396, 1702, 543, 1279, 2165, 3965, 563, 3080, 3992, 568, 476, 274, 268, 278, 3764, 1279, 543, 568, 3362, 7471, 883, 519, 5929, 3992, 2095, 267, 1175, 1818, 519, 1641, 811, 3308, 543, 3102, 563, 296, 1336, 8885, 16462, 547, 1397, 519, 4245, 547, 1250, 1362, 5612, 27778, 4883, 2142, 569, 20660, 267, 11061, 4116, 454, 288, 19214, 883, 519, 2104, 540, 7998, 2069, 3849, 6929, 667, 17532, 267, 11061, 8191, 543, 3447, 1807, 454, 6944, 1503, 519, 3992, 2095, 1210, 519, 2027, 4116, 7154, 609, 513, 1906, 18953, 540, 707, 16979, 912, 268, 2382, 14688, 1921, 547, 782, 519, 2875, 3457, 454, 268, 3399, 543, 23249, 519, 3992, 454, 268, 6513, 519, 3356, 540, 1142, 2875, 454, 23623, 6770, 7998, 2069, 547, 513, 1007, 1377, 454, 8139, 267, 711, 8357, 1944, 454, 2414, 1174, 7998, 267, 596, 723, 547, 1174, 1018, 568, 8345, 593, 519, 7636, 1377, 269, 3807, 8357, 1944, 12596, 543, 5013, 568, 711, 2614, 563, 4517, 1018, 1223, 581, 513, 1732, 1259, 547, 1174, 519, 2623, 540, 8444, 267, 12274, 543, 6675, 982, 547, 2322, 3054, 3330, 3114, 6547, 267, 547, 1294, 782, 891, 5536, 609, 707, 1378, 4064, 563, 21010, 532, 519, 1483, 1158, 609, 519, 1158, 540, 6675, 454, 10376, 3992, 6238, 538, 513, 2978, 543, 1287, 649, 24680, 538, 547, 519, 7636, 1377, 563, 5331, 707, 616, 2111, 547, 16756, 513, 5479, 2053, 267, 899, 4165, 17907, 267, 3850, 596, 547, 1294, 1018, 6382, 1131, 2611, 15865, 563, 290, 13511, 568, 2352, 1317, 596, 723, 547, 1921, 519, 12550, 543, 2890, 10600, 538, 606, 2949, 1523, 267, 543, 1294, 875, 789, 616, 5532, 269, 15283, 2306, 713, 1360, 3308, 563, 11328, 5562, 6901, 609, 8444, 543, 6675, 454, 2171, 798, 711, 17932, 513, 5929, 2978, 267, 855, 1683, 7317, 4245, 1141, 3214, 666, 2932, 6901, 593, 8444, 543, 6675, 602, 616, 6382, 7543, 912, 268, 1628, 707, 1378, 11046, 454, 268, 1628, 707, 1378, 11140, 454, 268, 2268, 6125, 19367, 454, 268, 1404, 609, 9357, 1436, 1648, 267, 3092, 563, 23623, 3217, 3214, 856, 540, 741, 10450, 269, 5753, 666, 1445, 476, 1911, 2600, 593, 741, 4245, 1510, 19240, 563, 2252, 596, 4076, 2479, 6836, 547, 18609, 3214, 547, 1445, 593, 741, 4974, 267, 2864, 982, 1257, 532, 267, 669, 527, 7302, 520, 1154, 267, 3092, 269, 1247, 789, 968, 13231, 344, 5608, 596, 917, 4010, 1018, 649, 616, 6158, 827, 563, 14112, 476, 274, 268, 278, 8792, 1279, 4245, 269, 2991, 476, 274, 268, 278, 3764, 267, 513, 1126, 779, 2702, 547, 1832, 21716, 1007, 1344, 12772, 269, 1809, 1282, 891, 3764, 267, 741, 3007, 568, 2347, 543, 741, 1565, 568, 7920, 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 ]
[ 1186, 269, 1358, 5645, 15963, 269, 2290, 540, 873, 3357, 909, 547, 19915, 1010, 29962, 1434, 8386, 950, 594, 729, 9361, 609, 1864, 269, 1261, 729, 7381, 543, 2786, 267, 543, 540, 1906, 1913, 563, 2108, 6546, 812, 2223, 1767, 6004, 269, 17619, 267, 607, 646, 4682, 2066, 519, 2361, 1394, 547, 519, 3786, 267, 968, 10517, 637, 757, 4440, 519, 1360, 1655, 1826, 540, 938, 1004, 269, 1261, 568, 513, 6396, 626, 840, 12329, 267, 540, 519, 2025, 5547, 8573, 3187, 779, 6006, 267, 2178, 267, 4250, 1652, 267, 1582, 3146, 2993, 656, 269, 3571, 1004, 1185, 1044, 538, 782, 938, 10617, 1354, 1864, 267, 543, 646, 3357, 607, 513, 2339, 540, 1576, 269, 1411, 1058, 723, 2938, 1864, 835, 6640, 9361, 538, 519, 10514, 16513, 609, 1010, 2212, 1175, 2630, 519, 29906, 267, 1141, 519, 695, 1905, 6773, 6854, 25305, 936, 1010, 11058, 269, 1358, 1223, 562, 1406, 5905, 1864, 267, 607, 646, 6785, 267, 543, 646, 2893, 972, 607, 14955, 1356, 2740, 607, 952, 972, 941, 1100, 971, 1919, 607, 15963, 543, 12959, 267, 8840, 519, 10365, 585, 1010, 6995, 609, 519, 12765, 540, 1010, 15148, 591, 269, 1261, 729, 562, 1406, 2469, 883, 519, 4339, 1510, 1010, 6995, 269, 1261, 729, 513, 3014, 840, 12329, 3034, 2304, 5662, 2663, 267, 950, 267, 1310, 513, 3643, 547, 519, 1079, 544, 2444, 1824, 540, 519, 31458, 267, 1765, 297, 657, 773, 267, 519, 7823, 17794, 267, 543, 519, 23914, 267, 10793, 267, 1765, 296, 729, 10004, 1154, 609, 31924, 674, 31867, 517, 267, 513, 1762, 2296, 2006, 945, 4465, 5365, 11984, 538, 6370, 267, 519, 1166, 777, 540, 519, 17895, 729, 6659, 543, 513, 7381, 7708, 6016, 4158, 2989, 519, 13675, 269, 1261, 3357, 547, 1118, 513, 1867, 267, 543, 11542, 3623, 1836, 693, 3007, 1247, 519, 11464, 8947, 621, 269, 3571, 2055, 646, 12943, 538, 1395, 657, 22690, 1963, 269, 968, 6546, 729, 2717, 6674, 2223, 1767, 1010, 9120, 950, 646, 729, 8854, 269, 968, 3891, 568, 513, 2407, 15918, 797, 539, 623, 1177, 26234, 269, 1261, 814, 2760, 4376, 547, 2161, 267, 855, 596, 1058, 1294, 1864, 538, 513, 4339, 269, 594, 4927, 2760, 7340, 519, 796, 326, 617, 569, 2112, 2914, 14833, 641, 646, 1577, 856, 950, 649, 4682, 909, 519, 5842, 20844, 14629, 269, 594, 5134, 6412, 602, 621, 18901, 519, 1975, 8643, 1841, 3592, 607, 1454, 607, 938, 5279, 1705, 269, 594, 917, 602, 621, 3592, 3576, 1250, 7362, 2476, 3034, 22746, 729, 519, 1570, 540, 799, 519, 31458, 729, 1500, 269, 715, 27197, 19317, 829, 1298, 269, 1185, 1200, 4765, 12418, 593, 7504, 3724, 267, 593, 519, 1390, 23617, 267, 693, 930, 942, 610, 824, 269, 589, 5354, 1185, 1044, 896, 3595, 269, 634, 29461, 729, 741, 2067, 14049, 269, 1358, 941, 711, 547, 581, 16826, 17660, 267, 543, 789, 6785, 875, 11593, 547, 1265, 519, 2039, 540, 519, 10546, 779, 5857, 1186, 327, 2393, 619, 267, 513, 1249, 602, 21235, 873, 2484, 811, 2500, 538, 513, 4339, 982, 519, 3328, 15321, 267, 945, 1185, 15991, 513, 6340, 29872, 766, 609, 1010, 7784, 269, 715, 27197, 829, 1298, 269, 540, 519, 681, 965, 7304, 11107, 941, 4892, 4535, 543, 26870, 269, 12344, 513, 4627, 941, 540, 4914, 4332, 1765, 23389, 267, 21785, 267, 2296, 269, 1703, 941, 23597, 543, 14308, 1218, 267, 543, 789, 8678, 609, 3160, 535, 969, 528, 538, 519, 13465, 602, 1196, 1881, 24755, 21622, 9466, 269, 1358, 11542, 782, 593, 519, 1482, 3723, 532, 269, 634, 2025, 1977, 1544, 12199, 281, 1169, 835, 593, 1010, 26350, 269, 769, 519, 2063, 16801, 5227, 585, 13319, 676, 29962, 17619, 585, 7086, 656, 787, 538, 519, 2361, 729, 513, 4035, 269, 634, 1267, 540, 621, 782, 729, 513, 24767, 602, 9599, 519, 25621, 540, 519, 2834, 338, 945, 10692, 2427, 676, 2427, 609, 873, 563, 8170, 741, 13708, 8864, 7961, 10179, 762, 2984, 723, 1044, 5143, 269, 634, 4095, 9129, 10428, 729, 8929, 5722, 2053, 538, 519, 4339, 693, 20098, 2871, 553, 574, 553, 267, 855, 18423, 538, 519, 20590, 11060, 547, 519, 1439, 269, 17721, 1261, 742, 1676, 267, 8929, 998, 519, 1560, 267, 18796, 547, 581, 605, 5529, 909, 1996, 513, 3529, 543, 2016, 1010, 29461, 543, 18085, 8696, 269, 1924, 19034, 856, 267, 646, 10692, 593, 2394, 1010, 635, 10232, 9901, 4464, 543, 646, 1223, 1100, 3476, 9496, 1510, 8594, 540, 18644, 873, 269, 1358, 1336, 1864, 9361, 972, 4666, 1310, 519, 4339, 269, 634, 10800, 1790, 684, 7815, 18007, 1633, 689, 13244, 674, 2946, 729, 8929, 998, 519, 2427, 543, 10288, 547, 519, 15493, 676, 29962, 17619, 267, 945, 4718, 519, 1973, 5671, 6137, 689, 519, 10138, 269, 1261, 4682, 1073, 539, 1304, 569, 2394, 646, 729, 856, 540, 8289, 267, 543, 1287, 14229, 8898, 1394, 883, 519, 16034, 269, 2991, 621, 729, 936, 789, 25868, 1864, 543, 3576, 1864, 547, 519, 6413, 267, 1141, 519, 23262, 5143, 1864, 646, 1131, 723, 547, 581, 25855, 5087, 269, 2334, 3781, 646, 23012, 543, 17875, 1194, 1394, 547, 519, 4395, 607, 1655, 646, 1223, 269, 1261, 10692, 22290, 1010, 29962, 782, 998, 519, 16114, 328, 6210, 4339, 563, 2005, 729, 10567, 602, 267, 609, 741, 24970, 1027, 757, 267, 519, 681, 965, 7304, 11107, 1223, 711, 581, 5676, 1441, 865, 607, 547, 1831, 2500, 538, 519, 2361, 282, 855, 4010, 519, 6587, 5949, 269, 1358, 4951, 519, 1158, 519, 1007, 4715, 12386, 540, 513, 1560, 540, 2367, 945, 1223, 1589, 543, 2943, 581, 7980, 282, 945, 23491, 539, 267, 711, 1317, 789, 1185, 547, 267, 855, 1317, 621, 729, 1318, 789, 1058, 267, 543, 789, 17329, 547, 269, 1358, 1522, 711, 723, 1044, 3501, 538, 1018, 519, 24755, 21622, 1131, 723, 1572, 519, 535, 2590, 525, 540, 4421, 328, 1359, 269, 634, 10612, 12641, 599, 543, 519, 6042, 267, 543, 782, 602, 267, 789, 6785, 4986, 827, 269, 1809, 789, 6854, 1931, 538, 741, 3786, 267, 543, 789, 6785, 519, 4971, 28644, 267, 950, 621, 729, 2016, 269, 769, 741, 5618, 5859, 789, 1185, 1100, 4316, 547, 1451, 1022, 824, 269, 4256, 7980, 685, 8261, 729, 5618, 269, 898, 17246, 1228, 1989, 22824, 267, 543, 972, 729, 9039, 269, 8422, 2395, 789, 3786, 539, 856, 538, 519, 3141, 543, 4764, 593, 519, 5842, 20844, 15113, 267, 8165, 676, 1554, 543, 20857, 3276, 4900, 676, 3781, 267, 609, 2370, 547, 3548, 543, 1152, 519, 546, 9662, 547, 3207, 538, 267, 855, 711, 513, 24255, 729, 4862, 269, 1879, 519, 10546, 16091, 267, 10393, 543, 538, 2407, 3196, 267, 693, 1614, 522, 685, 22018, 538, 519, 6640, 267, 789, 941, 972, 547, 2743, 1864, 267, 543, 267, 17237, 543, 695, 1853, 532, 267, 546, 27221, 998, 543, 998, 676, 519, 22856, 543, 676, 519, 5230, 632, 9749, 267, 789, 22755, 1864, 1394, 563, 2108, 6546, 568, 519, 1449, 2223, 1767, 741, 19524, 267, 6340, 540, 621, 26063, 281, 968, 1729, 12687, 909, 2367, 693, 1614, 522, 685, 22018, 538, 519, 6640, 945, 723, 1185, 4986, 547, 3548, 267, 5310, 585, 2395, 267, 543, 4986, 547, 3382, 873, 282, 547, 12687, 873, 909, 10393, 547, 513, 2462, 4339, 267, 543, 723, 873, 782, 2196, 519, 1318, 1259, 282, 602, 568, 519, 1449, 269, 1703, 729, 562, 1406, 513, 812, 945, 4682, 547, 519, 15493, 3034, 763, 681, 965, 7304, 11107, 941, 2067, 25881, 267, 689, 519, 29962, 1524, 269, 634, 2257, 540, 2112, 607, 789, 3576, 621, 689, 1864, 543, 1316, 2213, 621, 2040, 4364, 3294, 909, 538, 519, 2241, 4542, 547, 968, 560, 686, 651, 2182, 267, 10880, 2656, 267, 543, 950, 538, 8969, 979, 4464, 1848, 898, 729, 865, 19167, 4465, 1010, 24984, 269, 1809, 519, 1975, 8643, 1841, 5360, 7134, 15280, 569, 269, 634, 4892, 1705, 711, 4339, 2687, 547, 519, 3652, 540, 2112, 267, 789, 530, 9229, 269, 968, 5445, 979, 4464, 950, 17991, 2390, 3079, 540, 9991, 1394, 1848, 22353, 789, 267, 519, 1975, 8643, 1841, 267, 941, 25997, 547, 2196, 267, 799, 789, 1705, 267, 3954, 23395, 519, 12150, 640, 540, 519, 18631, 269, 898, 729, 12150, 269, 898, 729, 835, 540, 519, 1896, 1919, 538, 713, 9058, 2112, 602, 1705, 5208, 547, 782, 519, 5389, 267, 543, 8126, 1194, 909, 4108, 30675, 543, 2699, 11746, 538, 519, 2361, 538, 513, 27945, 2879, 22611, 269, 1717, 267, 2614, 7283, 936, 538, 3786, 267, 1310, 519, 8165, 729, 936, 267, 547, 811, 982, 1118, 909, 585, 621, 563, 763, 31458, 729, 1354, 519, 1004, 3592, 11179, 585, 1614, 3275, 269, 14780, 2213, 267, 6896, 267, 9280, 267, 543, 5645, 547, 18010, 1369, 513, 3923, 676, 519, 1482, 26672, 573, 1648, 543, 10324, 3196, 602, 19034, 856, 519, 26010, 585, 922, 4619, 16124, 24515, 538, 519, 5101, 543, 4639, 267, 621, 3576, 519, 2361, 693, 2899, 543, 6854, 621, 11489, 519, 7952, 1964, 539, 2390, 922, 7916, 896, 519, 6821, 540, 16114, 328, 6210, 269, 2353, 519, 1259, 909, 621, 1185, 1044, 519, 642, 1481, 731, 269, 634, 771, 6312, 2583, 689, 519, 4395, 18808, 3232, 609, 519, 681, 965, 7304, 11107, 685, 7518, 1080, 269, 1879, 267, 693, 20098, 2871, 553, 574, 553, 609, 4937, 8479, 779, 24767, 267, 789, 22755, 1354, 873, 2185, 2053, 741, 1297, 540, 1975, 8643, 1841, 267, 19225, 2989, 693, 741, 791, 564, 6681, 19060, 538, 519, 3068, 540, 513, 530, 2416, 532, 3595, 689, 519, 12062, 540, 606, 791, 523, 25523, 1076, 26570, 267, 519, 5186, 5474, 1767, 602, 789, 941, 5605, 19813, 267, 543, 267, 607, 538, 519, 2025, 2395, 950, 17619, 3366, 519, 7128, 943, 23750, 343, 267, 519, 3956, 729, 6659, 693, 1753, 602, 646, 1058, 581, 2322, 593, 4693, 267, 5480, 2173, 691, 658, 539, 269, 634, 1249, 729, 602, 519, 681, 965, 7304, 11107, 941, 8165, 513, 1034, 5402, 9709, 6370, 269, 898, 729, 519, 1259, 789, 4465, 602, 19225, 2989, 519, 6159, 26223, 693, 1753, 267, 607, 621, 1705, 519, 1975, 8643, 1841, 269, 634, 11802, 1942, 930, 10475, 2729, 267, 855, 621, 568, 693, 971, 1942, 602, 24984, 616, 4465, 267, 543, 519, 5837, 1198, 540, 519, 4323, 729, 1360, 1390, 269, 15332, 513, 8969, 621, 10710, 8338, 1973, 338, 1117, 2663, 593, 269, 898, 814, 1044, 31187, 17619, 779, 2603, 1419, 547, 581, 9901, 609, 16420, 1145, 267, 609, 1018, 1010, 13915, 538, 519, 15493, 616, 20938, 547, 1289, 1010, 968, 331, 871, 540, 8671, 1848, 898, 568, 519, 24744, 6976, 676, 4626, 7190, 547, 796, 23896, 532, 10100, 269, 634, 5859, 2348, 1044, 5402, 9709, 267, 543, 4937, 24747, 518, 2348, 9783, 1010, 9753, 547, 4323, 519, 10546, 267, 519, 3364, 2451, 547, 798, 729, 547, 5279, 269, 1656, 789, 9901, 269, 634, 1297, 540, 519, 10546, 1185, 4986, 547, 798, 609, 621, 267, 6862, 519, 1249, 602, 646, 729, 703, 27221, 267, 15865, 267, 6466, 789, 941, 6534, 267, 538, 2407, 8289, 269, 1261, 729, 547, 581, 9141, 856, 282, 543, 646, 729, 9141, 856, 269, 2334, 729, 2112, 593, 519, 1977, 1544, 267, 607, 6956, 676, 519, 681, 965, 7304, 11107, 563, 307, 523, 2395, 540, 15292, 532, 543, 8165, 538, 519, 17382, 19411, 730, 538, 519, 7088, 532, 540, 519, 5842, 20844, 15113, 267, 609, 29962, 17619, 538, 2407, 4971, 267, 29962, 8381, 2348, 1044, 964, 5703, 569, 15469, 1310, 20098, 2871, 553, 574, 553, 269, 634, 1650, 540, 519, 4583, 5279, 909, 519, 3046, 1066, 9386, 267, 540, 519, 26672, 573, 22838, 540, 519, 11954, 29816, 31458, 602, 1185, 1044, 14084, 856, 609, 519, 681, 965, 7304, 11107, 538, 519, 512, 29168, 543, 1631, 3357, 547, 519, 1489, 540, 741, 669, 4548, 609, 513, 19060, 267, 543, 540, 519, 11802, 22617, 539, 689, 519, 1975, 8643, 1841, 950, 782, 31030, 2390, 519, 1967, 540, 519, 4323, 267, 786, 581, 5143, 538, 1296, 547, 2097, 693, 1169, 1977, 11642, 728, 269, 1215, 1454, 540, 519, 2656, 1967, 540, 519, 5859, 729, 2731, 1813, 547, 519, 17619, 681, 965, 7304, 11107, 267, 1018, 535, 919, 8288, 538, 519, 3666, 950, 741, 791, 564, 6681, 19060, 10710, 519, 1554, 267, 950, 18956, 1185, 1044, 8480, 539, 543, 538, 1198, 4956, 267, 649, 6956, 1732, 607, 649, 4121, 519, 1483, 1533, 540, 519, 32415, 7952, 593, 519, 3781, 540, 4873, 476, 1789, 269, 2913, 621, 581, 2614, 547, 2161, 602, 621, 1705, 4688, 519, 1554, 269, 11524, 10692, 607, 1130, 5050, 569, 267, 855, 519, 8956, 540, 8840, 519, 5053 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 589, 22332, 15389, 589, 5400, 280, 23310, 1520, 329, 8809, 9696, 281, 1109, 1109, 288, 10219, 21327, 589, 10219, 24241, 589, 10219, 25908, 2608, 589, 10219, 13136, 589, 10219, 21854, 589, 10219, 19442, 26395, 312, 310, 16704, 1875, 333, 27483, 295, 3036, 700, 518, 1195, 2372, 564, 267, 3967, 476, 1724, 476, 1220, 278, 12327, 307, 2894, 31064, 306, 27326, 676, 14105, 25941, 2401, 267, 3967, 476, 2537, 476, 1220, 278, 29865, 4785, 9516, 692, 16100, 1575, 1923, 8080, 1923, 26264, 1923, 19193, 1923, 8535, 1923, 18140, 476, 273, 1923, 5915, 657, 1923, 12039, 1923, 25873, 1923, 2859, 1923, 5680, 23173, 454, 6944, 25572, 1007, 694, 336, 269, 610, 6085, 1923, 14474, 1923, 13910, 16847, 1923, 3690, 13257, 1923, 8111, 572, 2131, 518, 1923, 10765, 454, 763, 31643, 3041, 7991, 1923, 19321, 539, 676, 634, 31643, 3041, 7690, 5549, 780, 8310, 9168, 5412, 476, 273, 476, 866, 281, 6872, 29643, 476, 1708, 272, 269, 1230, 13935, 476, 4097, 280, 275, 3393, 9696, 269, 630, 305, 7342, 593, 522, 324, 529, 275, 4700, 0, 2971, 22472, 692, 288, 5223, 568, 1031, 547, 5635, 1079, 9424, 780, 763, 5223, 540, 2338, 513, 543, 536, 666, 581, 6829, 607, 1384, 1892, 519, 5223, 540, 513, 547, 536, 454, 1892, 513, 568, 547, 536, 454, 1892, 513, 2433, 536, 454, 1892, 513, 11486, 692, 288, 6824, 2141, 19776, 513, 851, 547, 513, 2898, 269, 589, 5223, 666, 5635, 513, 851, 547, 513, 851, 267, 610, 513, 851, 547, 513, 2898, 780, 2690, 1383, 267, 952, 972, 616, 476, 273, 24453, 543, 476, 274, 13212, 267, 519, 5223, 540, 24453, 547, 13212, 568, 476, 273, 281, 274, 563, 763, 5223, 543, 6824, 540, 24453, 547, 519, 2698, 1297, 540, 5613, 568, 476, 273, 270, 276, 780, 7462, 7151, 692, 288, 13836, 2319, 4465, 476, 7176, 856, 540, 519, 4005, 779, 476, 14341, 3756, 780, 5416, 264, 1548, 568, 519, 5223, 540, 17993, 547, 9271, 2496, 6357, 264, 1548, 568, 519, 5223, 540, 17993, 547, 3756, 2496, 2162, 8827, 692, 5416, 264, 1403, 519, 2319, 4465, 476, 7176, 3756, 267, 789, 4503, 476, 5038, 3756, 269, 1924, 519, 5223, 540, 17993, 547, 9271, 568, 476, 7176, 2433, 476, 5038, 267, 610, 476, 7176, 270, 5038, 780, 6357, 264, 634, 5223, 540, 17993, 547, 3756, 568, 476, 7176, 270, 14341, 780, 7462, 7151, 692, 7775, 1052, 13404, 568, 29809, 609, 1216, 547, 1118, 10433, 602, 568, 476, 272, 270, 276, 13404, 780, 5416, 264, 1548, 568, 519, 5223, 540, 13404, 547, 1216, 2496, 6357, 264, 1548, 568, 519, 5223, 540, 1216, 547, 10433, 2496, 2162, 8827, 692, 5416, 264, 4236, 823, 602, 568, 476, 272, 270, 276, 13404, 1797, 602, 519, 2698, 2179, 540, 10433, 568, 476, 276, 269, 2290, 851, 540, 602, 2698, 476, 276, 568, 13404, 269, 634, 2179, 540, 1216, 568, 2698, 10433, 14263, 13404, 267, 865, 476, 276, 1107, 476, 272, 815, 476, 275, 269, 634, 5223, 540, 13404, 547, 1216, 568, 476, 272, 2433, 476, 275, 780, 6357, 264, 634, 6824, 540, 13404, 538, 519, 2698, 2179, 540, 10433, 568, 476, 272, 270, 276, 269, 4826, 2306, 909, 519, 1964, 540, 519, 10433, 267, 865, 922, 6824, 568, 476, 275, 270, 276, 780, 7462, 7151, 692, 763, 5223, 540, 1079, 2338, 568, 476, 275, 281, 272, 267, 543, 741, 2040, 568, 476, 2412, 269, 4855, 519, 1079, 2338, 780, 2162, 8827, 692, 2237, 519, 5223, 540, 519, 1079, 2338, 1535, 547, 586, 607, 1535, 30819, 815, 476, 275, 270, 272, 2073, 865, 1535, 815, 476, 275, 344, 692, 19853, 2040, 568, 476, 2412, 267, 865, 1535, 1341, 586, 815, 476, 2412, 780, 275, 344, 1341, 586, 815, 476, 2412, 15240, 3482, 1535, 815, 476, 275, 344, 883, 1535, 1341, 586, 815, 476, 2412, 454, 276, 344, 815, 476, 2412, 454, 344, 815, 476, 279, 692, 343, 815, 476, 275, 344, 267, 865, 1535, 815, 476, 3953, 692, 763, 1079, 2338, 616, 476, 3953, 543, 476, 279, 780, 305, 520, 3930, 666, 581, 1063, 811, 982, 1175, 1079, 2474, 269, 2290, 1259, 547, 1413, 693, 519, 2078, 568, 602, 789, 616, 782, 23385, 540, 835, 1871, 780, 763, 5223, 568, 476, 272, 2433, 476, 273, 2433, 476, 276, 563, 763, 2698, 568, 476, 2412, 563, 3383, 1535, 1341, 476, 273, 343, 1341, 476, 276, 343, 815, 476, 2412, 780, 7462, 7151, 692, 16446, 267, 4544, 543, 5835, 27371, 538, 513, 9126, 723, 513, 5223, 540, 476, 276, 547, 476, 273, 547, 476, 277, 269, 2991, 9427, 519, 2699, 27371, 267, 972, 616, 476, 3953, 27371, 2451, 538, 519, 9126, 269, 1215, 1082, 2699, 27371, 941, 538, 519, 9126, 2496, 10490, 264, 476, 275, 454, 16360, 264, 476, 279, 454, 18154, 264, 476, 736, 454, 20573, 264, 476, 2190, 454, 27887, 264, 476, 7367, 692, 2162, 8827, 692, 8196, 519, 2698, 1297, 540, 27371, 538, 519, 9126, 543, 519, 5223, 540, 1175, 4544, 7132, 5835, 780, 19990, 1341, 5835, 815, 27371, 2451, 454, 273, 343, 1341, 476, 277, 343, 815, 476, 3953, 454, 279, 343, 815, 476, 3953, 267, 865, 1535, 815, 476, 275, 780, 2791, 666, 946, 1535, 815, 476, 275, 543, 519, 3312, 476, 276, 2433, 476, 273, 2433, 476, 277, 5223, 547, 1265, 519, 1297, 540, 2699, 27371, 563, 276, 343, 815, 476, 276, 6398, 476, 275, 815, 476, 736, 454, 2467, 941, 476, 736, 2699, 27371, 538, 519, 9126, 780, 763, 2953, 2626, 3903, 568, 630, 290, 6393, 13014, 2386, 596, 2461, 16460, 519, 2243, 1373, 4280, 269, 3371, 267, 519, 4636, 2626, 3681, 1331, 1535, 815, 476, 275, 267, 476, 273, 343, 815, 476, 279, 4544, 27371, 267, 476, 277, 343, 815, 476, 2190, 5835, 27371, 267, 543, 476, 3953, 1341, 476, 736, 815, 476, 7367, 27371, 8385, 538, 519, 9126, 780, 2971, 1160, 15251, 692, 288, 8167, 2829, 602, 1079, 12753, 616, 3160, 780, 288, 8167, 9236, 1079, 12753, 666, 581, 6829, 607, 1384, 1892, 513, 568, 547, 536, 607, 524, 568, 547, 546, 454, 1892, 513, 2433, 536, 815, 524, 2433, 546, 454, 1892, 513, 11486, 815, 524, 7933, 692, 2791, 666, 4194, 585, 1022, 2165, 538, 513, 8167, 281, 513, 267, 536, 267, 524, 610, 546, 780, 7462, 7151, 692, 8340, 519, 1871, 540, 1535, 269, 476, 3374, 270, 10019, 815, 1535, 270, 2190, 692, 2162, 8827, 692, 19686, 476, 272, 692, 3374, 6398, 476, 2190, 815, 476, 10019, 343, 9061, 9062, 780, 343, 815, 476, 3374, 6398, 476, 2190, 1315, 10019, 19147, 1312, 5011, 676, 476, 10019, 780, 343, 815, 476, 3374, 6398, 476, 2190, 270, 10019, 815, 476, 278, 6398, 476, 276, 6398, 476, 273, 6398, 476, 273, 6398, 476, 277, 270, 273, 6398, 476, 277, 6398, 476, 278, 815, 476, 1015, 16748, 543, 22599, 547, 14458, 519, 9273, 780, 343, 815, 476, 1015, 692, 19686, 476, 273, 692, 3374, 270, 10019, 815, 1535, 270, 2190, 16748, 543, 14458, 519, 8454, 780, 278, 6398, 476, 276, 270, 278, 6398, 476, 1321, 815, 1535, 270, 273, 6398, 476, 1321, 454, 276, 270, 1321, 815, 1535, 1315, 630, 273, 6398, 476, 1321, 994, 276, 815, 1535, 1315, 476, 273, 454, 343, 815, 476, 1015, 692, 7462, 7151, 692, 8340, 519, 1871, 540, 1535, 269, 476, 275, 2433, 476, 1428, 815, 476, 1626, 2433, 1535, 692, 2162, 8827, 692, 2237, 519, 8167, 1210, 8454, 780, 275, 270, 1428, 815, 476, 1626, 24474, 692, 275, 343, 815, 476, 1626, 6398, 476, 1428, 9061, 9062, 780, 343, 815, 476, 1626, 6398, 476, 1428, 270, 275, 815, 476, 275, 6398, 476, 1428, 815, 476, 2568, 19147, 1312, 5011, 676, 476, 275, 563, 343, 815, 476, 2568, 692, 7462, 7151, 692, 2252, 476, 1911, 9489, 666, 4444, 476, 271, 269, 5881, 10101, 540, 513, 4686, 14599, 1570, 267, 875, 1082, 10101, 666, 596, 4444, 609, 476, 11793, 9489, 2496, 10490, 264, 476, 278, 454, 16360, 264, 476, 3583, 454, 18154, 264, 476, 10384, 454, 20573, 264, 476, 10384, 271, 454, 27887, 264, 476, 3583, 267, 1822, 692, 2162, 8827, 692, 2237, 519, 2243, 607, 513, 8167, 780, 271, 269, 5881, 270, 1911, 815, 575, 270, 11793, 692, 271, 269, 5881, 6398, 476, 11793, 815, 476, 1911, 326, 9061, 9062, 780, 326, 815, 630, 271, 269, 5881, 6398, 476, 9083, 6398, 476, 10441, 8358, 1911, 815, 630, 278, 6398, 476, 10441, 8358, 9083, 284, 476, 278, 6398, 476, 9083, 19147, 1312, 5011, 676, 476, 1911, 543, 14458, 780, 326, 815, 476, 10384, 692, 763, 2953, 2626, 3903, 568, 630, 290, 6393, 2971, 769, 14287, 1160, 1636, 1308, 692, 10521, 9424, 616, 2047, 14354, 952, 835, 11224, 519, 824, 16611, 676, 513, 3586, 267, 610, 586, 815, 524, 343, 1141, 524, 568, 513, 3586, 563, 763, 6201, 1657, 941, 782, 2047, 14354, 780, 275, 270, 1428, 815, 476, 1626, 24474, 568, 519, 1482, 607, 476, 275, 6398, 476, 275, 270, 1428, 6398, 476, 275, 815, 476, 1626, 24474, 692, 3374, 270, 10019, 815, 1535, 270, 2190, 568, 519, 1482, 607, 476, 3374, 270, 10019, 815, 476, 274, 269, 276, 343, 270, 274, 269, 276, 6398, 476, 2190, 692, 2691, 1079, 9424, 616, 2047, 14354, 267, 1312, 2418, 2333, 610, 1312, 2418, 6175, 780, 10521, 9424, 616, 11201, 569, 14354, 952, 835, 11081, 950, 519, 824, 4679, 563, 3080, 1871, 568, 3160, 547, 513, 3586, 5258, 676, 519, 824, 267, 610, 1384, 344, 815, 524, 24474, 692, 1607, 666, 581, 17370, 9287, 607, 1384, 15383, 815, 524, 692, 2080, 616, 930, 1806, 540, 11201, 17114, 1384, 1892, 634, 13864, 2557, 568, 11201, 569, 14354, 547, 2804, 2208, 269, 1133, 655, 7877, 4422, 909, 950, 2804, 2208, 4422, 1524, 563, 1892, 634, 1719, 2557, 513, 2754, 17188, 568, 11201, 569, 14354, 547, 922, 5491, 12773, 269, 634, 1732, 519, 5491, 12773, 267, 519, 2539, 519, 1719, 2557, 563, 7462, 7151, 692, 305, 690, 518, 22755, 476, 3445, 5195, 538, 476, 272, 269, 276, 3108, 269, 1215, 2484, 1131, 646, 979, 538, 476, 273, 269, 276, 3108, 2496, 2162, 8827, 692, 1607, 4564, 513, 1463, 8167, 281, 1312, 519, 3845, 543, 942, 2333, 780, 3445, 5195, 270, 272, 269, 276, 3108, 815, 544, 270, 273, 269, 276, 3108, 692, 332, 815, 476, 3445, 6398, 476, 273, 269, 276, 270, 272, 269, 276, 815, 476, 3445, 6398, 476, 276, 6398, 476, 271, 269, 276, 270, 274, 6398, 476, 271, 269, 276, 815, 476, 1789, 6398, 476, 276, 815, 476, 5611, 692, 305, 690, 518, 1131, 5397, 476, 5611, 5195, 780, 7462, 7151, 692, 305, 690, 518, 22755, 476, 272, 5662, 693, 476, 2568, 5195, 829, 5662, 269, 1403, 646, 22755, 693, 476, 2412, 5195, 829, 5662, 267, 875, 1279, 786, 621, 1491, 547, 979, 519, 1482, 3845, 2496, 2162, 8827, 692, 1607, 4564, 606, 9940, 8167, 281, 607, 519, 1297, 540, 4600, 4679, 267, 519, 942, 11081, 780, 275, 2367, 6398, 476, 277, 3108, 815, 476, 272, 2816, 454, 278, 2367, 6398, 554, 3108, 815, 476, 272, 2816, 692, 13729, 519, 476, 273, 4834, 3160, 780, 275, 6398, 476, 277, 815, 476, 278, 327, 454, 327, 815, 476, 2190, 270, 278, 815, 476, 274, 270, 274, 270, 278, 9881, 486, 476, 274, 269, 276, 692, 2005, 786, 1491, 519, 476, 278, 2367, 827, 476, 274, 269, 276, 3108, 780, 7462, 7151, 692, 2005, 3217, 476, 275, 2367, 476, 277, 3108, 547, 7816, 513, 4155, 269, 27051, 875, 1279, 786, 621, 1491, 476, 278, 2367, 547, 798, 519, 2816, 952, 789, 960, 693, 519, 1482, 2557, 2496, 2162, 8827, 692, 1607, 4564, 606, 9940, 8167, 281, 607, 519, 1297, 540, 4600, 4679, 267, 519, 942, 11081, 780, 275, 2367, 6398, 476, 277, 3108, 815, 476, 272, 2816, 692, 278, 2367, 6398, 554, 3108, 815, 476, 272, 2816, 692, 13729, 519, 476, 273, 4834, 3160, 780, 275, 6398, 476, 277, 815, 476, 278, 327, 692, 327, 815, 476, 2190, 270, 278, 815, 476, 274, 270, 274, 270, 278, 9881, 486, 476, 274, 269, 276, 692, 2005, 786, 1491, 519, 476, 278, 2367, 827, 476, 274, 269, 276, 3108, 269, 0, 272, 269, 12361, 1133, 321, 15903, 5036, 692, 1432, 568, 606, 1383, 540, 606, 30898, 15903, 1305, 602, 3085, 1405, 979, 547, 20581, 286, 594, 6415, 2348, 3978, 8373, 30230, 4771, 2436, 610, 711, 513, 1305, 602, 3085, 1405, 979, 547, 20581, 568, 30898, 15903, 780, 273, 269, 20323, 17397, 676, 5617, 320, 307, 531, 15318, 454, 1432, 568, 606, 1383, 540, 606, 30898, 15903, 1305 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8368, 540, 12937, 8058, 454, 763, 12593, 28266, 610, 24712, 267, 2097, 538, 513, 3099, 540, 1114, 18707, 269, 27202, 547, 1413, 693, 267, 693, 782, 2053, 267, 24712, 723, 1044, 2404, 609, 3388, 267, 689, 2648, 547, 11505, 547, 19454, 563, 763, 18991, 26484, 267, 6505, 5810, 543, 3638, 267, 3039, 16714, 616, 2442, 2066, 4529, 543, 3180, 606, 1271, 1747, 538, 1686, 269, 2060, 865, 1454, 2469, 585, 621, 267, 972, 4667, 1100, 2601, 547, 3494, 4376, 1223, 2479, 979, 4636, 585, 24712, 267, 1318, 286, 2334, 779, 2394, 596, 1413, 693, 519, 5835, 532, 3762, 540, 707, 9782, 2030, 563, 8170, 1576, 267, 2067, 3123, 899, 4365, 9023, 1524, 538, 5162, 666, 2490, 1346, 4158, 3039, 3762, 5835, 269, 1656, 972, 779, 513, 3099, 540, 24712, 1572, 24821, 6242, 267, 799, 6923, 10953, 513, 11495, 5835, 2681, 593, 519, 3762, 269, 1809, 1018, 952, 519, 3762, 2490, 5835, 1510, 1022, 540, 519, 1657, 4128, 286, 3367, 593, 547, 1265, 856, 2336, 13349, 15486, 1280, 14117, 532, 540, 27817, 2201, 634, 674, 10008, 720, 2986, 14986, 454, 763, 4657, 4778, 540, 3762, 5815, 930, 4990, 540, 7777, 19261, 538, 24712, 269, 3371, 616, 519, 4128, 602, 2014, 513, 9782, 6978, 547, 2490, 5835, 267, 543, 2081, 547, 4308, 609, 873, 563, 288, 9782, 17382, 3340, 14961, 5848, 3037, 602, 568, 693, 2547, 476, 1015, 6279, 630, 1839, 4699, 264, 2620, 269, 1717, 267, 713, 3037, 12582, 1406, 581, 521, 690, 4445, 610, 1216, 8421, 3022, 563, 763, 5072, 540, 24712, 2154, 2011, 547, 13236, 543, 1216, 8421, 3022, 3037, 666, 3625, 2011, 15102, 11895, 269, 901, 786, 14145, 633, 519, 9782, 540, 5135, 543, 1439, 909, 609, 3762, 7432, 5835, 563, 299, 871, 540, 5135, 666, 2014, 519, 5835, 532, 540, 3762, 538, 24712, 269, 1548, 779, 8338, 568, 602, 9363, 1932, 1279, 538, 1216, 8421, 3022, 3037, 666, 849, 2014, 4232, 1154, 5072, 563, 1607, 666, 6038, 1291, 547, 519, 2669, 540, 519, 2030, 2507, 519, 2063, 3364, 602, 596, 8910, 1616, 547, 1294, 256, 11153, 4128, 666, 9594, 1216, 8421, 3101, 971, 607, 4057, 12775, 267, 1210, 10036, 2861, 3037, 267, 610, 14450, 1932, 4749, 563, 5522, 13589, 519, 9782, 538, 513, 1970, 268, 2391, 5544, 568, 513, 1966, 607, 1134, 1317, 519, 1216, 689, 519, 3003, 4677, 786, 18645, 972, 269, 1280, 1494, 24712, 267, 519, 12775, 9475, 1058, 581, 13761, 585, 3625, 1137, 563, 12850, 532, 2356, 5673, 593, 2916, 855, 585, 1034, 8677, 267, 2899, 513, 3018, 538, 519, 3395, 4005, 1058, 581, 2614, 269, 1411, 666, 946, 513, 7509, 6529, 610, 707, 9416, 547, 2638, 519, 7509, 540, 519, 3037, 563, 30395, 512, 29168, 1472, 707, 24712, 547, 28570, 1216, 952, 789, 616, 12630, 538, 1970, 268, 2391, 9634, 269, 1280, 10036, 2861, 11934, 267, 946, 5214, 2326, 547, 18985, 585, 519, 3668, 540, 12775, 269, 1280, 17428, 267, 2901, 1065, 582, 519, 9782, 610, 1711, 12775, 9475, 538, 519, 1494, 563, 273, 269, 3502, 2037, 965, 4826, 532, 454, 763, 3037, 1058, 711, 1205, 1932, 3819, 269, 1773, 4868, 540, 1216, 786, 2327, 519, 3762, 540, 24712, 4465, 1406, 1376, 7432, 5835, 543, 2887, 1055, 563, 3719, 1018, 4523, 950, 596, 616, 4758, 519, 2030, 2614, 1216, 543, 519, 3037, 5170, 547, 1413, 3819, 286, 2334, 1223, 4755, 950, 596, 723, 711, 6074, 519, 1318, 3037, 547, 1332, 707, 24712, 538, 563, 288, 22501, 3037, 609, 4057, 1216, 12802, 610, 28537, 14450, 2553, 666, 2014, 713, 1966, 269, 31896, 707, 9782, 2047, 2630, 519, 3141, 666, 849, 581, 513, 1966, 563, 6546, 779, 1317, 713, 786, 1611, 602, 519, 1216, 689, 519, 3037, 1522, 581, 18493, 908, 1932, 3533, 563, 2414, 2057, 1216, 21381, 689, 519, 3037, 267, 2482, 1359, 519, 3037, 609, 606, 10759, 540, 22890, 568, 513, 1434, 3070, 269, 25109, 577, 4465, 1406, 1577, 519, 7943, 2047, 3914, 519, 3037, 563, 1607, 786, 849, 2087, 519, 1216, 12802, 3390, 865, 519, 3037, 3884, 1406, 15018, 1932, 3533, 269, 4635, 519, 1318, 22890, 267, 899, 11003, 610, 3574, 13365, 267, 666, 849, 2087, 519, 2783, 540, 22501, 11934, 609, 14312, 9115, 563, 22879, 16841, 14450, 1949, 607, 519, 1463, 3141, 666, 1860, 741, 4398, 269, 5502, 267, 2119, 513, 30620, 610, 865, 6033, 25652, 585, 513, 11931, 1216, 3761, 2429, 519, 1554, 563, 2521, 547, 2030, 538, 513, 1769, 23469, 8708, 610, 1494, 610, 519, 2666, 269, 14730, 23469, 11149, 666, 1205, 12699, 909, 1932, 3533, 543, 786, 2014, 519, 3037, 547, 3819, 563, 306, 24678, 18168, 2270, 513, 1164, 5834, 540, 20919, 269, 3683, 1922, 1068, 16478, 666, 2014, 713, 6070, 547, 1628, 909, 4929, 519, 5835, 532, 610, 26151, 1950, 542, 540, 3762, 269, 674, 23459, 9088, 689, 824, 2694, 540, 519, 4677, 949, 723, 18233, 2509, 519, 9782, 15429, 849, 267, 865, 2638, 856, 519, 12775, 563, 5522, 1218, 723, 1808, 13226, 4170, 269, 898, 779, 2141, 1732, 547, 946, 1447, 13226, 543, 7930, 1039, 811, 2687, 547, 519, 2030, 779, 2115, 563, 9616, 519, 4170, 540, 519, 9782, 17382, 543, 1039, 18168, 9935, 269, 2060, 24712, 267, 621, 779, 1732, 547, 946, 3500, 3146, 548, 2084, 2067, 18168, 610, 513, 1134, 28394, 2331, 11003, 269, 3816, 8221, 519, 4299, 3762, 543, 556, 22476, 519, 9782, 17382, 1058, 12115, 621, 538, 1100, 942, 563, 275, 269, 1133, 29446, 270, 11900, 11211, 14606, 715, 19153, 454, 299, 871, 540, 5567, 538, 519, 3037, 568, 1776, 2014, 540, 519, 5835, 532, 540, 3762, 269, 14117, 3762, 609, 3039, 15532, 538, 519, 3762, 5815, 8392, 2670, 563, 27832, 518, 9436, 538, 519, 3037, 1797, 519, 24712, 4465, 1406, 581, 2111, 547, 10110, 607, 1454, 3859, 1648, 269, 634, 9782, 17382, 1223, 1439, 909, 7092, 689, 4401, 610, 13101, 19518, 563, 7775, 267, 22279, 3037, 666, 1376, 8392, 2670, 538, 24712, 799, 5540, 519, 8244, 540, 5567, 689, 519, 3037, 269, 901, 2063, 666, 581, 3361, 676, 4401, 10638, 538, 519, 3037, 607, 1134, 563, 5278, 20522, 20164, 666, 948, 596, 4137, 856, 519, 8770, 1377, 543, 9063, 540, 519, 3037, 269, 634, 3668, 540, 5567, 666, 581, 18808, 609, 676, 4946, 1808, 2326, 543, 18168, 563, 4913, 267, 621, 779, 1732, 547, 6467, 707, 2030, 547, 513, 1494, 952, 3037, 9063, 568, 519, 3390, 1934, 269, 1411, 666, 2119, 547, 1689, 519, 9063, 540, 519, 3037, 607, 1134, 676, 4946, 930, 1808, 2326, 563, 4913, 267, 621, 779, 19408, 1317, 621, 666, 11032, 947, 3320, 1860, 519, 9063, 811, 982, 568, 14553, 2556, 543, 2014, 513, 3152, 9063, 19261, 269, 1924, 267, 621, 779, 1732, 547, 1711, 707, 3037, 543, 1628, 513, 6659, 5127, 610, 1804, 1494, 585, 707, 24712, 563, 288, 4365, 1966, 971, 607, 513, 3226, 4049, 3002, 8482, 666, 2014, 513, 5835, 532, 540, 519, 3762, 269, 1403, 972, 779, 606, 11991, 7535, 540, 1216, 2630, 707, 9782, 267, 519, 7943, 666, 581, 10630, 4724, 519, 3762, 563, 1607, 786, 581, 3226, 5739, 547, 519, 2539, 3620, 4474, 3762, 267, 8022, 873, 538, 519, 1184, 269, 15020, 4158, 22890, 666, 849, 11677, 3002, 3246, 11032, 947, 3320, 1164, 5210, 547, 519, 2030, 269, 901, 3063, 8022, 3123, 519, 3762, 547, 2490, 6960, 543, 6749, 563, 1103, 8600, 585, 1346, 29224, 540, 2395, 267, 946, 513, 1769, 23469, 22890, 602, 3085, 1406, 11677, 3002, 269, 2991, 14450, 267, 1118, 2386, 519, 1216, 3884, 1406, 7535, 532, 1472, 519, 2030, 543, 568, 1373, 12842, 676, 519, 3037, 563, 2005, 779, 849, 513, 1434, 2856, 547, 3888, 513, 12094, 585, 519, 2371, 547, 1683, 873, 609, 513, 5594, 16830, 1604, 563, 277, 269, 6184, 11211, 6129, 2775, 454, 305, 4680, 991, 693, 2547, 3670, 3108, 540, 7943, 547, 1332, 883, 2635, 26965, 17078, 523, 609, 5810, 269, 1924, 952, 519, 1283, 4494, 540, 3762, 3587, 1932, 1668, 1506, 267, 789, 666, 1711, 11991, 12094, 585, 519, 6967, 3762, 563, 1607, 2179, 540, 12094, 786, 1267, 538, 519, 3762, 693, 519, 2539, 1377, 7432, 5835, 269, 1924, 1932, 2370, 3141, 267, 1175, 607, 1454, 607, 1932, 1454, 3141, 267, 666, 28148, 1860, 9782, 3762, 543, 741, 32442, 269, 3683, 513, 1279, 1974, 267, 713, 2783, 786, 849, 1291, 547, 3762, 8840, 1055, 543, 9991, 563, 2005, 779, 1732, 547, 556, 1790, 582, 24712, 538, 1776, 8708, 952, 596, 723, 2938, 602, 519, 1880, 5544, 3884, 1406, 8391, 2614, 7943, 269, 2398, 2317, 519, 3762, 1657, 547, 1450, 7943, 547, 1780, 998, 547, 519, 2539, 3762, 563, 9827, 267, 621, 779, 1732, 547, 32566, 4478, 2371, 607, 1134, 547, 1711, 513, 1697, 8574, 585, 519, 7943, 563, 278, 269, 623, 3949, 1656, 15302, 454, 7661, 267, 3109, 5544, 2068, 666, 849, 2014, 519, 3762, 547, 2490, 5835, 267, 610, 3109, 543, 6960, 269, 898, 779, 606, 3362, 1521, 762, 2068, 267, 1455, 10838, 9782, 26965, 269, 634, 6952, 568, 547, 13209, 621, 2038, 593, 563, 2252, 596, 1294, 930, 5835, 3762, 543, 2370, 3103, 1472, 519, 11710, 267, 1287, 621, 779, 17178, 21746, 602, 723, 7783, 707, 9782, 17382, 269, 14986, 6978, 5577, 11825, 666, 2014, 513, 2147, 1826, 540, 32396, 855, 621, 779, 811, 12716, 982, 1018, 779, 3361, 676, 17178, 21746, 563, 288, 19471, 9033, 8336, 666, 2097, 538, 13561, 269, 17186, 2185, 18324, 9398, 540, 11256, 14614, 538, 835, 20645, 540, 1216, 543, 4019, 621, 21066, 593, 4299, 3762, 547, 2061, 3262, 269, 1411, 1058, 32566, 891, 4299, 3762, 609, 513, 10322, 28895, 1907, 543, 6633, 873, 849, 563, 1103, 2739, 539, 3762, 666, 3262, 519, 17343, 952, 6404, 609, 11003, 269, 1306, 606, 3773, 13390, 1081, 267, 2327, 519, 9782, 814, 1434, 25312, 543, 1100, 7509, 568, 2679, 909, 593, 519, 3762, 2901, 563, 295, 558, 17360, 9033, 15969, 666, 948, 1832, 10860, 2476, 849, 269, 1717, 267, 585, 1655, 2164, 543, 513, 2656, 267, 17046, 3070, 585, 707, 7783, 9782, 3762, 267, 1934, 779, 1018, 547, 798, 563, 2791, 666, 4019, 513, 2067, 5521, 8336, 267, 683, 655, 3282, 568, 835, 1434, 1383, 267, 538, 1507, 5666, 547, 519, 4299, 3762, 269, 1411, 666, 849, 6299, 519, 3282, 593, 1022, 824, 9634, 1141, 596, 1294, 513, 1628, 5346, 540, 519, 10860, 563, 1607, 267, 2059, 609, 707, 824, 19471, 14319, 1058, 798, 13300, 585, 707, 9782, 17382, 256, 0, 8368, 540, 12937, 454, 1103, 519, 6385, 9687, 1158, 540, 5841, 4987, 630, 9590, 1070, 835, 1907, 814, 11542, 856, 585, 922, 14262, 7207, 538, 2067, 1893, 4393, 630, 301, 10861, 1070, 543, 602, 781, 7046, 9590, 781, 19208, 269, 1306, 3642, 1893, 3631, 1831, 811, 10427, 267, 9367, 616, 7683, 3695, 5499, 2081, 547, 3986, 741, 10342, 269, 2290, 971, 19349, 585, 19208, 568, 519, 5610, 540, 8943, 3955, 2181, 614, 267, 513, 4183, 602, 24864, 519, 10342, 540, 3642, 2645, 547, 513, 2898, 1007, 1377, 563, 1607, 2376, 786, 4196, 607, 513, 3102, 3391, 593, 875, 547, 946, 8943, 3955, 2181, 614, 538, 19208, 269, 2672, 3386, 585, 23501, 1175, 4358, 741, 3460, 609, 3642, 267, 30292, 9367, 3168, 547, 1491, 741, 3156, 547, 519, 1985, 1377, 267, 543, 28589, 12439, 5461, 538, 11319, 519, 6302, 540, 1893, 3631, 267, 713, 3391, 786, 1491, 513, 2620, 4685, 883, 519, 8943, 3955, 2181, 614, 781, 7207, 267, 2640, 267, 7687, 267, 543, 1483, 8996, 1806, 563, 763, 30292, 781, 8943, 3955, 2181, 614, 4183, 6087, 621, 547, 5659, 1239, 267, 1449, 543, 14892, 3009, 267, 4194, 6310, 2042, 267, 543, 1711, 32331, 609, 519, 3593, 781, 3403, 269, 901, 4367, 540, 606, 8818, 1369, 19208, 585, 4881, 26398, 543, 17034, 3791, 18407, 2533, 4564, 513, 7061, 20014, 538, 519, 2361, 267, 6679, 9885, 547, 513, 1158, 540, 7399, 563, 8601, 922, 12316, 7207, 267, 8943, 3955, 2181, 614, 568, 711, 1510, 922, 7687, 269, 9747, 267, 519, 13766, 585, 9367, 543, 3755, 547, 1174, 922, 9342, 543, 12755, 585, 6099, 13345, 269, 901, 2376, 786, 2263, 891, 3344, 267, 3246, 9355, 593, 950, 543, 875, 547, 1655, 946, 8943, 3955, 2181, 614, 1369, 19208, 563, 2026, 649, 5490, 883, 713, 4241, 1888, 267, 649, 786, 1683, 5528, 593, 875, 547, 3927, 946, 713, 4183, 267, 2059, 609, 1483, 8996, 1806, 602, 6542, 922, 4052, 3156, 269, 4746, 267, 585, 1346, 3168, 547, 2263, 2417, 267, 649, 786, 8774, 1769, 593, 875, 2043, 543, 4213, 723, 11573, 3042, 8943, 3955, 2181, 614, 547, 3986, 741, 4238, 543, 3375, 6194, 3157, 563, 7476, 4712, 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 ]
[ 513, 5393, 1279, 1606, 4428, 1359, 1907, 585, 3450, 1453, 269, 1358, 786, 1683, 873, 513, 2497, 585, 1565, 543, 5329, 3950, 540, 1018, 789, 723, 4121, 269, 634, 1655, 27108, 811, 610, 1447, 3211, 568, 602, 789, 616, 711, 1175, 513, 19619, 540, 4351, 9212, 540, 1957, 602, 616, 2182, 547, 1246, 269, 634, 3283, 602, 666, 1651, 924, 9656, 1053, 616, 519, 3283, 602, 616, 1500, 547, 3514, 519, 2115, 540, 513, 1126, 267, 2864, 982, 519, 1007, 5910, 550, 1190, 1145, 1472, 563, 2467, 616, 3211, 585, 9656, 1053, 602, 723, 5583, 602, 666, 4217, 873, 1174, 543, 1832, 1344, 1732, 269, 1358, 666, 581, 1031, 607, 4245, 538, 741, 1378, 1318, 267, 610, 1688, 1176, 607, 513, 1797, 540, 4543, 519, 1126, 547, 1832, 3950, 540, 1919, 602, 616, 2469, 593, 538, 741, 1554, 547, 21765, 1272, 269, 1411, 666, 12398, 3211, 602, 723, 4778, 547, 1651, 924, 519, 1126, 3314, 1018, 621, 568, 602, 789, 616, 1565, 267, 610, 1256, 5961, 602, 2322, 593, 606, 957, 1018, 519, 1126, 814, 547, 798, 269, 0, 763, 4975, 540, 5507, 27648, 1034, 540, 5507, 689, 922, 11175, 676, 519, 14564, 538, 519, 476, 272, 560, 2540, 5084, 547, 519, 5664, 12698, 267, 855, 519, 598, 7875, 566, 814, 2094, 6738, 2484, 3564, 922, 10665, 563, 3528, 519, 4098, 540, 519, 31303, 2540, 267, 853, 269, 6754, 779, 5783, 12881, 729, 519, 8783, 8998, 540, 519, 1433, 4123, 267, 711, 1152, 585, 5507, 267, 855, 585, 519, 2898, 2197, 563, 8512, 338, 540, 519, 26720, 543, 922, 4478, 2127, 1185, 1044, 1031, 607, 6990, 2094, 519, 2185, 18818, 2540, 269, 1635, 476, 14689, 278, 267, 853, 269, 6754, 779, 729, 1031, 711, 1152, 607, 513, 5939, 910, 621, 1185, 1831, 519, 2835, 7749, 540, 5507, 563, 9349, 8688, 619, 593, 623, 15715, 8803, 18007, 454, 13069, 877, 513, 2707, 540, 6735, 538, 519, 8545, 3368, 540, 519, 2540, 267, 5555, 10888, 519, 7986, 2990, 538, 5507, 1433, 18522, 267, 855, 853, 269, 6754, 779, 9738, 922, 29686, 1134, 883, 519, 27867, 2540, 563, 763, 2835, 10914, 941, 20651, 7361, 676, 4914, 1433, 8688, 619, 538, 519, 31303, 2540, 269, 4789, 1705, 711, 723, 922, 1378, 8228, 2046, 2394, 519, 476, 14983, 271, 338, 267, 543, 538, 476, 16825, 275, 9400, 8633, 1185, 5293, 606, 2920, 540, 608, 18277, 547, 4914, 23252, 267, 8716, 873, 547, 3142, 741, 4123, 547, 5507, 269, 634, 3844, 23928, 1448, 585, 891, 1433, 8688, 619, 729, 853, 269, 6754, 779, 5783, 12881, 563, 763, 4860, 269, 3220, 269, 15867, 2421, 267, 538, 1010, 11313, 16908, 540, 6723, 10001, 1421, 685, 6645, 721, 602, 10348, 23770, 729, 538, 519, 4356, 540, 9878, 11564, 267, 538, 2754, 609, 930, 14799, 2987, 2914, 320, 1746, 267, 547, 10513, 6202, 9335, 543, 23160, 22017, 10830, 454, 267, 11313, 3602, 2034, 11804, 2835, 941, 6534, 585, 9042, 1282, 519, 2063, 3368, 540, 519, 22733, 2540, 19028, 2026, 519, 4975, 781, 6302, 723, 7283, 3592, 24240, 2094, 519, 5664, 12698, 267, 621, 568, 1631, 1152, 513, 6263, 851, 540, 519, 1558, 24227, 540, 20523, 5507, 267, 1498, 621, 3788, 513, 8037, 851, 540, 3844, 5507, 269, 898, 6585, 2749, 4567, 538, 922, 1378, 1318, 543, 568, 849, 513, 5094, 30060, 10315, 563, 2005, 568, 4922, 5219, 547, 607, 1412, 763, 4975, 262, 630, 21865, 2854, 593, 7851, 607, 4975, 454, 663, 21630, 689, 519, 8360, 1412, 1492, 2749, 540, 5507, 10807, 610, 1412, 1492, 12384, 631, 850, 262, 607, 621, 568, 476, 272, 269, 1321, 4009, 5195, 538, 1858, 269, 1452, 2474, 616, 849, 1419, 1031, 607, 1558, 11618, 585, 519, 2136, 8003, 781, 2883, 2533, 2872, 267, 799, 5170, 513, 8037, 1686, 540, 1373, 7361, 1759, 538, 519, 4975, 563, 763, 2199, 6392, 585, 519, 4975, 267, 519, 4975, 540, 5507, 15278, 267, 568, 2189, 538, 519, 5177, 543, 814, 930, 8966, 9021, 585, 513, 2199, 14643, 267, 971, 607, 1373, 519, 7128, 6392, 269, 898, 849, 814, 9021, 543, 5411, 4721, 3564, 519, 4975, 781, 6302, 269, 634, 15278, 568, 18188, 676, 519, 7083, 26302, 540, 519, 4975, 540, 5507, 267, 606, 5604, 5094, 689, 630, 663, 1454, 4587, 982, 264, 519, 26302, 540, 5507, 563, 763, 4975, 568, 513, 2101, 1870, 543, 2883, 8998, 267, 20823, 607, 519, 1158, 781, 3056, 8998, 540, 2518, 8804, 269, 10801, 519, 476, 866, 628, 2540, 267, 519, 4975, 729, 519, 1158, 781, 3119, 1870, 8998, 267, 543, 5170, 547, 581, 513, 2101, 5870, 1448, 585, 4213, 563, 763, 4975, 1185, 513, 17055, 2551, 540, 827, 476, 10384, 271, 538, 476, 1001, 272, 855, 936, 476, 4968, 267, 1822, 1004, 862, 1393, 547, 621, 543, 960, 972, 267, 5631, 538, 519, 2883, 2533, 5823, 269, 634, 3656, 3924, 3029, 513, 2101, 5057, 540, 519, 7187, 543, 7262, 5011, 540, 519, 4975, 910, 2523, 538, 519, 13527, 543, 932, 22083, 344, 28818, 454, 732, 553, 1141, 519, 769, 985, 540, 7040, 616, 4092, 267, 540, 799, 1079, 1765, 1103, 1676, 13527, 543, 5664, 13527, 910, 2887, 1369, 519, 4975, 540, 5507, 10465, 269, 0, 10574, 585, 713, 2985, 21806, 540, 519, 1715, 3840, 8648, 4179, 2517, 326, 603, 889, 2593, 270, 5500, 9392, 11305, 10604, 268, 866, 1673, 1092, 454, 25238, 23628, 13466, 19368, 1475, 8489, 593, 8641, 2008, 347, 297, 9766, 323, 2109, 13466, 29309, 14873, 11406, 347, 16954, 1637, 13466, 277, 269, 15389, 2929, 1475, 19990, 8880, 1899, 2008, 347, 18183, 3305, 539, 27418, 13466, 1691, 267, 26392, 1475, 18872, 1899, 4358, 2539, 2451, 11406, 347, 5719, 23411, 13466, 279, 1626, 1475, 341, 14489, 1899, 4358, 2539, 2451, 11406, 347, 7093, 1417, 540, 15510, 16791, 539, 1475, 271, 269, 26951, 4939, 11406, 18871, 1162, 12618, 15580, 13466, 323, 12874, 1782, 1169, 476, 6078, 269, 280, 2395, 1475, 2775, 4544, 7678, 1899, 2008, 347, 5719, 23411, 12618, 15580, 13466, 323, 12874, 1782, 1169, 476, 3445, 269, 272, 2395, 1475, 323, 1046, 4544, 7678, 1899, 2008, 19064, 9438, 539, 476, 272, 260, 540, 15510, 13466, 9262, 2395, 630, 279, 268, 4029, 268, 1708, 271, 10534, 5793, 7611, 540, 4544, 7678, 1899, 609, 5835, 8880, 1899, 2008, 19064, 9438, 539, 476, 1015, 260, 540, 15510, 13466, 26297, 2395, 630, 272, 268, 1704, 268, 1708, 272, 10534, 5793, 7611, 540, 4544, 7678, 1899, 609, 2699, 8880, 1899, 2008, 763, 3113, 1657, 568, 593, 513, 32568, 4336, 269, 3962, 1899, 593, 519, 7299, 7852, 4564, 4557, 2053, 607, 1082, 9672, 5046, 268, 866, 2665, 563, 10376, 1899, 593, 519, 8880, 7852, 4564, 1079, 4374, 563, 29309, 14873, 814, 513, 2551, 540, 476, 277, 269, 15389, 2929, 1004, 563, 1607, 568, 6719, 676, 519, 4544, 8880, 1899, 593, 519, 3113, 1657, 563, 763, 7455, 4358, 693, 519, 2539, 2451, 4564, 519, 1297, 540, 2665, 1336, 538, 16713, 563, 763, 1297, 540, 2665, 538, 16713, 568, 476, 1691, 267, 26392, 543, 30945, 1169, 476, 6078, 269, 280, 2395, 563, 763, 1769, 4544, 1899, 693, 519, 1439, 2982, 1141, 519, 1297, 540, 2665, 786, 581, 909, 547, 476, 1789, 2395, 856, 267, 1759, 593, 3466, 936, 519, 2063, 2185, 2395, 563, 763, 5835, 8880, 1899, 4564, 476, 272, 260, 540, 519, 2551, 630, 8618, 267, 24907, 1916, 2252, 1459, 3466, 3136, 267, 972, 786, 713, 1082, 2665, 538, 16713, 538, 476, 9262, 2395, 267, 799, 786, 581, 593, 476, 279, 268, 4029, 268, 1708, 271, 454, 763, 2699, 8880, 1899, 4564, 476, 1015, 260, 540, 519, 2551, 630, 277, 1724, 267, 10384, 1916, 2252, 1459, 3466, 3136, 267, 972, 786, 713, 1082, 2665, 538, 16713, 538, 476, 26297, 2395, 267, 799, 786, 581, 593, 476, 272, 268, 1704, 268, 1708, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25294, 910, 3589, 2362, 9019, 269, 901, 2796, 568, 269, 1306, 2665, 10006, 267, 811, 1004, 616, 22740, 1242, 547, 2474, 899, 1412, 2135, 4723, 25294, 262, 543, 1412, 335, 592, 572, 3404, 9014, 262, 538, 519, 2796, 540, 5046, 268, 866, 3968, 269, 634, 3644, 602, 3123, 5046, 268, 866, 267, 1572, 16568, 17336, 268, 273, 267, 3123, 513, 7929, 4576, 1141, 2550, 1419, 29153, 540, 26032, 540, 7362, 543, 9221, 9395, 1145, 6306, 689, 8611, 267, 11522, 267, 543, 9854, 1851, 824, 2589, 27488, 590, 4405, 566, 13044, 476, 866, 269, 11814, 539, 689, 519, 3003, 1357, 543, 24298, 547, 1331, 1152, 519, 1034, 1271, 2694, 540, 621, 269, 2052, 581, 1031, 607, 1543, 585, 1382, 543, 2079, 454, 290, 10604, 476, 866, 27488, 590, 4405, 566, 269, 11814, 539, 689, 519, 3003, 1357, 543, 24298, 547, 1331, 1152, 519, 1034, 1271, 2694, 540, 621, 269, 2052, 581, 1031, 607, 1543, 585, 1382, 543, 2079, 5046, 268, 866, 267, 606, 4576, 3361, 676, 4049, 8650, 7929, 11452, 476, 273, 630, 306, 12678, 17336, 268, 273, 264, 3968, 267, 814, 3262, 6385, 5001, 267, 4611, 538, 1713, 9019, 543, 11093, 2101, 8833, 593, 3782, 1949, 269, 4014, 519, 4791, 1576, 568, 4756, 267, 476, 272, 538, 476, 276, 2550, 786, 2154, 6413, 5314, 585, 2359, 609, 4587, 2085, 543, 519, 4527, 540, 32435, 885, 2810, 519, 1981, 540, 811, 4049, 563, 17357, 517, 8785, 2068, 476, 1001, 280, 630, 26542, 268, 866, 1070, 606, 4576, 3361, 676, 4049, 8650, 7929, 6794, 11452, 476, 273, 630, 306, 12678, 17336, 268, 273, 264, 3968, 267, 814, 3262, 6385, 5001, 267, 4611, 538, 1713, 9019, 543, 11093, 2101, 8833, 593, 3782, 1949, 269, 4014, 519, 4791, 1576, 568, 4756, 267, 835, 538, 2947, 2550, 786, 2154, 6413, 5314, 585, 2359, 267, 609, 4587, 2085, 543, 519, 4527, 540, 269, 1547, 13667, 338, 1677, 30431, 622, 519, 12205, 1063, 28146, 543, 595, 12396, 6438, 2589, 538, 5046, 268, 866, 543, 9221, 11632, 1606, 4754, 22114, 630, 290, 6311, 2026, 1070, 5135, 25294, 630, 8967, 302, 273, 1070, 17727, 4157, 514, 630, 6579, 9984, 277, 267, 14889, 268, 1015, 267, 595, 268, 3725, 5562, 563, 263, 10890, 21196, 28931, 1103, 5046, 268, 866, 2550, 267, 25805, 2038, 1582, 1790, 1258, 532, 538, 519, 6595, 8257, 11729, 4824, 5135, 25294, 267, 2687, 547, 513, 1353, 3370, 2228, 4989, 476, 2420, 538, 14288, 17073, 269, 476, 272, 269, 7167, 19513, 27020, 267, 853, 2001, 518, 681, 297, 267, 2274, 10903, 534, 681, 269, 7216, 8682, 6261, 1258, 532, 538, 21220, 820, 267, 6348, 10784, 889, 730, 14904, 538, 519, 17073, 4972, 281, 589, 17266, 11581, 781, 15232, 4438, 519, 5046, 268, 866, 17455, 2438, 1809, 1354, 519, 5046, 268, 866, 12176, 267, 519, 3902, 540, 513, 13942, 3404, 9014, 729, 513, 5021, 12652, 269, 476, 273, 267, 1822, 269, 2368, 540, 1346, 13942, 3404, 12281, 616, 1175, 840, 3491, 13559, 4364, 9162, 269, 2334, 1797, 1346, 7405, 1152, 1397, 513, 1871, 602, 729, 9411, 1282, 519, 5663, 1184, 267, 855, 711, 519, 4890, 5135, 25294, 1377, 540, 519, 1268, 945, 3096, 621, 454, 3519, 7501, 8601, 519, 3646, 676, 519, 1072, 2533, 543, 1514, 10072, 3800, 538, 31512, 807, 267, 713, 1353, 12006, 519, 25294, 540, 938, 1072, 1062, 609, 606, 20358, 538, 14021, 1416, 4559, 269, 7659, 6835, 21920, 540, 3251, 585, 2550, 609, 13044, 268, 866, 729, 3648, 519, 13074, 538, 15096, 308, 7868, 5003, 3599, 5127, 2557, 267, 23630, 476, 1911, 260, 538, 15096, 308, 267, 12006, 519, 1072, 1062, 12900, 538, 5883, 5046, 268, 866, 269, 5046, 6176, 281, 1306, 3127, 8188, 606, 8650, 17732, 540, 5135, 267, 649, 693, 2296, 808, 698, 3757, 1131, 899, 547, 1217, 596, 782, 827, 5135, 25294, 543, 875, 1454, 5135, 1281, 513, 5046, 268, 866, 3461, 2115, 454, 763, 3644, 602, 3123, 5046, 268, 866, 568, 11280, 4049, 8650, 7929, 6794, 11452, 476, 273, 630, 306, 12678, 17336, 268, 273, 1040, 901, 1888, 786, 1865, 519, 2359, 540, 5046, 268, 866, 538, 32509, 4079, 269, 3776, 1935, 547, 6413, 2359, 27372, 6385, 607, 4791, 1239, 10836, 5046, 268, 866, 2433, 3349, 879, 632, 536, 867, 632, 561, 262, 2946, 3671, 2946, 332, 773, 679, 669, 858, 637, 269, 16114, 2946, 1435, 331, 1664, 5333, 929, 15530, 25366, 796, 3349, 879, 536, 867, 9889, 573, 1329, 513, 11355, 8350, 5815, 2720, 804, 15530, 632, 647, 643, 328, 632, 561, 262, 2946, 3671, 2946, 332, 773, 632, 5046, 268, 866, 2433, 8732, 6166, 15530, 267, 26955, 322, 11726, 338, 267, 512, 14513, 632, 27082, 643, 527, 2946, 267, 562, 537, 767, 956, 6413, 31907, 267, 23504, 679, 865, 1231, 31886, 267, 1268, 5886, 32318, 656, 556, 9809, 340, 14193, 4779, 1231, 11552, 9570, 632, 12674, 595, 604, 6652, 540, 2772, 525, 632, 3288, 2198, 24265, 4890, 1642, 5046, 268, 866, 679, 3288, 3115, 14243, 321, 997, 320, 632, 4432, 30571, 13044, 268, 866, 22547, 267, 28404, 31928, 527, 3599, 674, 745, 1598, 622, 24930, 538, 9869, 8558, 590, 18260, 676, 519, 18647, 7352, 656, 1412, 2005, 781, 1932, 3735, 585, 873, 547, 1205, 519, 6669, 10086, 606, 15096, 308, 12016, 538, 23916, 1767, 4634, 952, 835, 781, 5135, 25294, 1377, 568, 476, 10844, 547, 476, 11463, 829, 1298, 267, 972, 949, 711, 581, 1022, 2601, 547, 11784, 267, 589, 2862, 5960, 8689, 3220, 11969, 324, 788, 717, 592, 4997, 814, 1767, 269, 769, 513, 1357, 14373, 593, 5135, 3797, 585, 13044, 268, 866, 2126, 563, 288, 330, 14654, 749, 339, 561, 7564, 613, 1775, 966, 7564, 3944, 1633, 910, 524, 10604, 268, 866, 269, 670, 7564, 337, 26627, 323, 831, 553, 1884, 531, 564, 581, 330, 337, 7564, 1111, 1228, 2887, 267, 1008, 32002, 940, 541, 267, 1285, 331, 573, 3534, 522, 577, 538, 6773, 24513, 663, 324, 3461, 518, 535, 23152, 1140, 2520, 679, 536, 843, 1285, 1033, 513, 330, 14654, 7578, 561, 7564, 1326, 1775, 966, 7564, 3944, 1633, 642, 611, 575, 7564, 28705, 524, 10604, 268, 866, 1547, 10566, 19616, 799, 729, 12926, 1031, 676, 6315, 5505, 538, 2665, 540, 2022, 2275, 731, 11340, 592, 14004, 21271, 610, 607, 513, 2063, 3942, 1489, 7271, 585, 1346, 593, 519, 2619, 540, 2295, 543, 5924, 5761, 5821, 267, 568, 1631, 4758, 513, 1007, 25755, 540, 1272, 547, 1082, 13044, 268, 866, 2550, 454, 1607, 960, 6799, 513, 2241, 543, 10853, 1935, 547, 6023, 519, 2139, 1239, 540, 5046, 268, 866, 2550, 538, 3127, 543, 547, 9472, 519, 9183, 269, 634, 2203, 6069, 568, 1759, 593, 519, 2139, 5013, 899, 519, 12614, 540, 27579, 630, 553, 9307, 676, 519, 6554, 593, 476, 1839, 628, 1554, 267, 26018, 271, 543, 519, 6051, 4806, 9598, 730, 676, 513, 1611, 1272, 6051, 942, 540, 26018, 272, 630, 7363, 1767, 547, 581, 1472, 476, 1691, 2395, 1040, 634, 1239, 540, 7783, 269, 1547, 634, 1699, 1353, 8947, 519, 2078, 1063, 1808, 1264, 906, 543, 30243, 1637, 17244, 2404, 609, 9221, 11632, 11571, 22114, 630, 290, 6311, 2026, 264, 543, 15672, 5135, 25294, 630, 8967, 302, 273, 264, 538, 5046, 268, 866, 2550, 269, 5395, 636, 2157, 540, 9148, 595, 274, 543, 595, 275, 267, 543, 555, 668, 7901, 2033, 589, 273, 630, 307, 343, 288, 273, 264, 543, 14382, 2329, 743, 514, 630, 22333, 296, 273, 264, 941, 269, 13044, 268, 866, 2433, 13248, 1488, 3534, 644, 674, 2632, 534, 564, 267, 8575, 529, 3288, 4172, 3200, 675, 3945, 1400, 324, 1696, 3288, 533, 2293, 340, 924, 632, 1094, 3846, 1664, 1821, 571, 1304, 3288, 929, 15530, 13996, 546, 262, 2317, 25294, 5918, 2113, 24586, 6413, 1512, 4595, 5412, 476, 1001, 280, 267, 606, 12176, 540, 11452, 2068, 630, 26542, 268, 866, 264, 3361, 676, 4049, 8650, 7929, 6794, 11452, 476, 273, 630, 306, 12678, 17336, 268, 273, 264, 814, 1044, 10825, 11451, 630, 1040, 4002, 5130, 476, 1839, 267, 476, 1708, 271, 267, 513, 18213, 771, 10603, 1046, 539, 513, 23593, 6928, 538, 15173, 15158, 543, 593, 5988, 476, 272, 7318, 2318, 585, 16568, 17336, 268, 273, 630, 1040, 763, 6928, 546, 18088, 538, 962, 758, 2129, 4821, 267, 3567, 267, 593, 5988, 476, 274, 585, 31741, 543, 10072, 772, 2607, 340, 599, 281, 2657, 1062, 593, 519, 2357, 613, 540, 25294, 1813, 547, 13044, 268, 866, 269, 901, 1448, 729, 4397, 547, 581, 6603, 593, 4989, 476, 275, 267, 855, 519, 8325, 2333, 538, 2665, 18965, 519, 1184, 269, 630, 20124, 281, 1325, 612, 663, 549, 563, 26542, 268, 866, 267, 11452, 2068, 476, 1001, 280, 282, 16568, 17336, 268, 273, 267, 4049, 8650, 7929, 6794, 11452, 476, 273, 269, 513, 9894, 711, 3717, 2296, 267, 5030, 3544, 6765, 1858, 540, 519, 1353, 267, 610, 8572, 547, 1683, 1239, 3842, 6049, 610, 4950, 907, 536, 3955, 560, 527, 658, 5761, 2068, 267, 6375, 665, 20234, 668, 2213, 267, 8362, 29047, 610, 2618, 5328, 267, 5042, 15717, 630, 1372, 10879, 610, 12216, 2068, 1070, 22037, 1738, 2860, 267, 610, 1439, 22533, 7249, 24304, 2295, 269, 11686, 5046, 268, 866, 9615, 8033, 1132, 282, 24930, 2161, 1261, 13201, 5438, 27624, 27488, 590, 4405, 566, 667, 28979, 3828, 823, 5239, 476, 275, 267, 476, 1708, 271, 14721, 18040, 25492, 32764, 27516, 910, 24930, 8156, 772, 2529, 269, 5518, 18496, 11686, 7000, 593, 10732, 602, 741, 3461, 267, 32509, 585, 5046, 268, 866, 267, 4810, 1079, 14501, 540, 23644, 12772, 538, 1010, 5135, 25294, 4438, 519, 11452, 6855, 267, 19901, 18614, 3081, 267, 972, 781, 6727, 1719, 538, 1753, 13942, 3404, 9014, 3457, 267, 799, 1522, 948, 6895, 26032, 540, 7362, 3361, 676, 5046, 268, 866, 3943, 5842, 1993, 328, 717, 1161, 5455, 22328, 5046, 268, 866, 28404, 4886, 3683, 590, 18260, 10369, 269, 24315, 3041, 630, 306, 1584, 23364, 264, 910, 3943, 14453, 5842, 1993, 328, 10300, 1206, 519, 1646, 540, 922, 22328, 5046, 268, 866, 6669, 1510, 22745, 519, 3791, 4693, 5123, 607, 519, 2344, 568, 1862, 476, 2764, 269, 6021, 269, 1708, 272, 267, 590, 1584, 23364, 4139, 269, 476, 1708, 272, 268, 6021, 268, 2764, 307, 6021, 281, 5400, 266, 1822, 271, 4653, 781, 11452, 3377, 281, 14411, 5359, 476, 276, 3374, 1007, 5046, 268, 866, 2665, 282, 645, 5861, 269, 13071, 3214, 896, 476, 1321, 11578, 585, 25750, 1635, 10060, 5234, 543, 5911, 2533, 6129, 1421, 4239, 269, 476, 1015, 267, 476, 1708, 272, 22245, 476, 1556, 1295, 269, 556, 320, 0, 15187, 1740, 543, 2780, 2553, 16984, 616, 3743, 585, 519, 1554, 3562, 6377, 5106, 540, 2780, 5121, 269, 18482, 19971, 946, 7463, 3301, 547, 4558, 543, 10891, 1344, 269, 8950, 543, 1702, 2079, 3744, 6427, 543, 1374, 1007, 4485, 547, 7384, 2029, 543, 3605, 11636, 3096, 585, 1459, 2029, 269, 25506, 543, 960, 547, 3247, 3354, 2798, 7222, 547, 8290, 267, 24677, 540, 3028, 6285, 267, 543, 14213, 338, 689, 1142, 3330, 543, 13964, 513, 3060, 15943, 269, 4762, 2682, 543, 4217, 5121, 538, 513, 9263, 547, 1413, 3060, 543, 513, 7082, 7746, 267, 6389, 17376, 574, 3320, 1759, 3060, 4070, 269, 1280, 3063, 3877, 827, 11678, 1644, 547, 713, 1858, 267, 979, 547, 3733, 8921, 8844, 610, 519, 25477, 8232, 4972, 5680, 2985, 1547, 2296, 543, 6128, 6030, 2154, 27216, 4879, 6060, 610, 11807, 4549, 2218, 17440, 593, 1346, 5396, 563, 2080, 891, 4238, 616, 6045, 267, 607, 568, 519, 4644, 540, 4180, 519, 6111, 540, 519, 11378, 689, 824, 8596, 552, 3052, 269, 634, 3875, 2994, 540, 13128, 11601, 616, 4330, 267, 538, 1840, 547, 7687, 267, 607, 568, 519, 1259, 538, 799, 1282, 799, 519, 13939, 1239, 1522, 581, 10268, 269, 1306, 609, 782, 13128, 2409, 267, 2168, 7182, 267, 3077, 6937, 543, 32302, 616, 6045, 269, 634, 1114, 2994, 540, 4159, 540, 3077, 1344, 616, 20898, 267, 6671, 3448, 543, 3020, 10321, 267, 623, 15425, 543, 623, 4696, 4352, 519, 8545, 3884, 1406, 538, 1459, 946, 269, 7053, 930, 8121, 303, 2026, 1256, 723, 4786, 5373, 29319, 1210, 4044, 1049, 12490, 543, 6698, 563, 9928, 10975, 326, 5303, 2902, 454, 16031, 269, 14986, 13922, 547, 22962, 519, 17546, 547, 2290, 476, 11740, 1982, 2250, 2979, 547, 1114, 5396, 1369, 2947, 1296, 269, 2368, 11000, 3464, 616, 26997, 547, 2119, 11636, 18997, 2409, 267, 6466, 1866, 5855, 602, 2029, 1223, 9004, 741, 6009, 269, 968, 2791, 666, 723, 519, 1034, 2500, 1982, 593, 2696, 779, 3039, 3618, 267, 855, 950, 596, 1810, 1406, 723, 1434, 6388, 540, 621, 267, 621, 779 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 594, 6415, 27613, 1589, 827, 11996, 1141, 8726, 649, 1491, 3330, 519, 6207, 1871, 781, 2469, 547, 581, 2318, 543, 824, 11996, 1141, 3388, 602, 649, 1491, 3330, 519, 6207, 1871, 568, 2469, 547, 581, 2942, 269, 1656, 519, 1448, 693, 799, 649, 1689, 568, 1141, 1535, 7132, 1079, 568, 3160, 547, 4642, 610, 1535, 568, 3160, 547, 2942, 1079, 269, 1924, 1577, 781, 1175, 1589, 827, 519, 11996, 1535, 568, 1447, 982, 2942, 1079, 543, 1535, 568, 3152, 982, 610, 3160, 547, 2942, 1079, 269, 1656, 713, 1223, 723, 1044, 1447, 982, 610, 3160, 267, 538, 799, 2013, 713, 1131, 723, 1044, 3152, 982, 267, 2901, 1259, 621, 1131, 723, 1044, 3160, 547, 713, 6207, 1130, 324, 267, 713, 568, 513, 6024, 1599, 1934, 269, 1656, 865, 950, 267, 1577, 781, 798, 519, 4443, 2013, 269, 1879, 1535, 568, 3152, 982, 610, 3160, 547, 2942, 1079, 1287, 1535, 7132, 1079, 568, 2469, 547, 581, 2318, 267, 610, 621, 781, 2469, 547, 581, 3152, 982, 610, 3160, 547, 4642, 267, 543, 865, 519, 6207, 1871, 540, 621, 568, 1175, 2469, 547, 581, 1535, 7132, 1079, 269, 1924, 621, 781, 2469, 547, 581, 1535, 7132, 1079, 950, 1535, 568, 3152, 982, 610, 3160, 547, 2942, 1079, 269, 1656, 1018, 827, 950, 1535, 568, 1447, 982, 2942, 1079, 286, 4270, 950, 1535, 568, 1447, 982, 2942, 1079, 267, 1535, 7132, 1079, 568, 2469, 547, 581, 2942, 267, 543, 1287, 952, 596, 1491, 519, 6207, 1871, 540, 513, 2942, 1297, 596, 2811, 27613, 1491, 519, 6587, 540, 621, 269, 1924, 713, 568, 2469, 547, 581, 2942, 1535, 7132, 1079, 269, 1656, 547, 2731, 948, 9240, 330, 713, 267, 1412, 322, 1021, 18367, 569, 713, 568, 519, 23698, 851, 540, 1018, 649, 2811, 3257, 267, 543, 2731, 713, 568, 811, 7223, 982, 11810, 269, 2913, 803, 2721, 519, 6207, 1871, 1599, 547, 1118, 713, 2312, 269, 1924, 602, 568, 1250, 1535, 14289, 267, 602, 568, 1250, 586, 14289, 543, 1577, 781, 2161, 649, 2811, 1934, 693, 2942, 1079, 269, 1656, 865, 950, 649, 616, 1447, 982, 519, 2942, 1079, 267, 950, 1535, 568, 1447, 982, 2942, 1079, 1250, 3113, 568, 2469, 547, 1413, 899, 713, 269, 898, 568, 2469, 547, 1413, 1945, 267, 621, 781, 27613, 1413, 899, 602, 269, 1656, 950, 649, 616, 3152, 982, 2942, 1079, 267, 798, 602, 538, 513, 1114, 2681, 267, 950, 649, 616, 3152, 982, 2942, 1079, 621, 781, 2469, 547, 1413, 899, 713, 269, 898, 781, 2469, 547, 1413, 899, 602, 269, 1656, 865, 5469, 713, 568, 538, 4544, 649, 723, 267, 713, 568, 519, 3113, 1535, 7132, 1079, 267, 649, 666, 2161, 713, 568, 513, 3113, 540, 586, 11224, 1535, 7132, 1079, 269, 1656, 1018, 649, 723, 538, 4012, 31980, 1318, 936, 1934, 267, 713, 568, 519, 3113, 540, 2942, 1535, 14263, 1079, 269, 898, 814, 513, 2942, 9386, 543, 649, 18448, 519, 586, 14289, 693, 2942, 1079, 269, 1924, 621, 2306, 2631, 269, 1703, 781, 2789, 2081, 602, 596, 1223, 2601, 998, 713, 269, 3767, 2899, 649, 2736, 621, 909, 1287, 649, 666, 2736, 909, 519, 7533, 269, 1284, 1223, 2161, 602, 1018, 649, 5206, 1934, 267, 713, 568, 3160, 547, 519, 7533, 689, 2942, 2185, 547, 1079, 267, 20994, 2942, 2185, 547, 2942, 1079, 540, 535, 540, 1535, 267, 799, 568, 538, 602, 2013, 621, 781, 2469, 547, 581, 2942, 1535, 14263, 1079, 267, 594, 1175, 7856, 519, 2942, 1129, 972, 269, 667, 343, 267, 543, 1287, 7132, 519, 17386, 7533, 2469, 689, 2942, 1079, 547, 4642, 540, 1535, 7132, 1079, 267, 15848, 269, 1656, 1175, 547, 1118, 2386, 649, 917, 1018, 649, 2811, 798, 514, 262, 1934, 267, 952, 713, 568, 2942, 2185, 1318, 936, 1934, 267, 713, 568, 4642, 267, 602, 1101, 7533, 568, 27613, 2285, 721, 713, 1858, 1318, 936, 1934, 269, 1548, 781, 519, 1858, 896, 519, 7455, 2942, 1535, 14263, 1079, 267, 896, 602, 7455, 610, 896, 602, 1899, 543, 1657, 519, 1535, 14289, 269, 1656, 519, 2034, 7533, 568, 27613, 2285, 721, 713, 1858, 1318, 936, 1934, 1063, 1535, 7132, 1079, 543, 519, 1535, 14289, 2469, 689, 2942, 1079, 547, 4642, 269, 1656, 865, 1577, 781, 6218, 1142, 540, 891, 543, 596, 1522, 1256, 581, 2111, 547, 1175, 6218, 891, 609, 513, 2370, 3787, 540, 6906, 2127, 267, 855, 1577, 781, 1175, 798, 713, 2555, 21154, 610, 7223, 1227, 269, 1656, 865, 1018, 781, 519, 4550, 268, 1457, 29719, 540, 2942, 1535, 286, 4270, 602, 781, 2942, 1535, 1606, 32464, 936, 1079, 267, 543, 1287, 649, 723, 519, 2942, 1079, 267, 865, 713, 568, 27613, 581, 519, 4550, 268, 1457, 29719, 568, 2942, 1079, 1535, 267, 649, 2811, 27613, 6218, 602, 693, 2942, 1079, 543, 2942, 2185, 269, 1656, 865, 602, 851, 568, 2469, 547, 581, 1018, 286, 20134, 1079, 16302, 267, 865, 621, 781, 519, 2942, 540, 2942, 1079, 16302, 269, 1924, 621, 781, 2942, 2185, 936, 1079, 14263, 1079, 2053, 2942, 1079, 269, 1924, 7132, 2185, 269, 1924, 602, 781, 621, 11117, 693, 2942, 1079, 269, 1656, 1287, 14263, 267, 952, 649, 6218, 621, 693, 2942, 2185, 269, 1924, 649, 2811, 27613, 723, 14263, 2942, 2185, 16302, 568, 476, 1626, 936, 1079, 267, 14263, 1079, 2053, 2942, 2185, 269, 1924, 602, 568, 7132, 5216, 269, 1924, 1018, 568, 602, 2469, 547, 2285, 721, 286, 1924, 713, 568, 2942, 1079, 267, 713, 1318, 936, 1934, 568, 2942, 5216, 267, 865, 519, 2034, 2165, 1318, 936, 1934, 568, 1175, 2469, 547, 581, 3160, 547, 4642, 269, 9894, 594, 798, 602, 1318, 286, 23010, 267, 519, 476, 1626, 936, 1079, 267, 621, 781, 2942, 543, 713, 568, 2318, 269, 28514, 267, 865, 713, 568, 1175, 2469, 547, 581, 4642, 269, 1656, 713, 568, 2942, 1079, 7132, 2185, 799, 568, 2469, 547, 581, 3160, 547, 1079, 269, 1924, 1018, 649, 723, 1934, 538, 4012, 31980, 568, 3160, 547, 1079, 269, 1656, 1018, 649, 723, 1934, 538, 519, 4544, 267, 1134, 1577, 781, 1294, 267, 713, 568, 519, 4550, 268, 1457, 29719, 540, 1535, 1606, 32464, 936, 1079, 267, 7132, 1079, 1535, 267, 27613, 6218, 621, 693, 4642, 543, 2942, 1079, 269, 1411, 6218, 713, 3364, 693, 4642, 267, 621, 781, 1175, 27613, 581, 4642, 543, 689, 602, 596, 2811, 2469, 547, 10208, 2942, 1079, 16302, 936, 1079, 269, 2334, 568, 2318, 2185, 936, 1079, 799, 568, 2318, 1079, 269, 1656, 1287, 7132, 1079, 2053, 2942, 1079, 269, 1924, 14263, 2185, 269, 1656, 865, 713, 568, 2469, 547, 581, 519, 2942, 540, 2942, 1079, 267, 610, 2318, 1079, 269, 1924, 621, 781, 1079, 7132, 1079, 269, 1656, 602, 2306, 2631, 602, 1018, 649, 723, 538, 4012, 31980, 1934, 568, 1079, 543, 1018, 649, 723, 936, 1934, 568, 1079, 267, 972, 781, 519, 15340, 1934, 269, 1703, 568, 513, 15340, 1934, 269, 1656, 865, 596, 1039, 1412, 655, 782, 1927, 543, 596, 1205, 938, 7533, 568, 2469, 547, 581, 3160, 547, 2185, 269, 1656, 2899, 1586, 267, 1175, 607, 513, 4641, 2638, 596, 1223, 2161, 267, 1413, 267, 519, 4463, 1934, 568, 1079, 267, 519, 8700, 267, 519, 3490, 1934, 568, 1079, 269, 5565, 2053, 1079, 2053, 835, 28451, 568, 8197, 3160, 547, 1079, 269, 23893, 3364, 936, 1934, 269, 1924, 602, 781, 519, 811, 12166, 4661, 585, 1946, 602, 1858, 781, 1079, 267, 602, 1858, 568, 1079, 267, 1039, 1412, 655, 1927, 596, 1205, 2318, 2185, 269, 0, 288, 18544, 568, 12236, 1310, 1053, 2347, 606, 15938, 4110, 1982, 269, 1677, 3489, 513, 18544, 267, 596, 2356, 991, 547, 2347, 476, 1321, 547, 476, 1240, 2852, 6030, 602, 1419, 4125, 11264, 3102, 4255, 543, 5924, 513, 5098, 6993, 9457, 538, 8950, 7177, 568, 513, 4110, 602, 11363, 593, 519, 4052, 3156, 540, 8800, 543, 3301, 1374, 269, 1452, 1331, 1239, 11601, 267, 12957, 543, 3302, 19441, 2507, 3367, 811, 454, 288, 18544, 568, 12236, 1310, 1053, 2347, 606, 15938, 4110, 1982, 269, 1677, 3489, 513, 18544, 267, 596, 2356, 991, 547, 2347, 476, 1321, 547, 476, 1240, 2852, 6030, 602, 1419, 4125, 11264, 3102, 4255, 543, 5924, 513, 5098, 563, 288, 9457, 538, 8950, 7177, 568, 513, 4110, 602, 11363, 593, 519, 4052, 3156, 540, 8800, 543, 3301, 1374, 269, 1452, 1331, 1239, 11601, 267, 12957, 543, 5663, 610, 10618, 269, 19573, 919, 786, 581, 2111, 547, 1949, 538, 513, 4763, 540, 5054, 563, 293, 8896, 267, 13166, 519, 3943, 6243, 267, 568, 513, 1770, 776, 10859, 25535, 7808, 14081, 4092, 6140, 538, 5375, 2342, 267, 609, 1896, 18246, 4525, 543, 11182, 563, 1015, 11778, 538, 8950, 7177, 267, 5333, 454, 8196, 707, 3860, 13007, 543, 5752, 1983, 547, 1544, 267, 1374, 267, 543, 1628, 5499, 3301, 543, 8924, 602, 1683, 6209, 2833, 547, 3755, 563, 4415, 3063, 14482, 1013, 673, 1983, 267, 646, 814, 5610, 267, 3760, 960, 30846, 2359, 267, 543, 954, 6016, 1464, 6791, 269, 1261, 814, 606, 968, 15574, 1062, 892, 1935, 269, 1261, 10953, 7117, 3267, 30492, 763, 1982, 540, 15536, 9798, 6663, 693, 3450, 4702, 1053, 519, 1702, 543, 4396, 1983, 538, 4359, 20487, 267, 1374, 267, 1646, 267, 6388, 267, 543, 1292, 1084, 534, 3267, 30492, 9213, 267, 11251, 1949, 616, 10876, 630, 31166, 267, 16669, 267, 5656, 267, 1072, 3457, 267, 1852, 1949, 264, 543, 741, 3106, 543, 3354, 616, 2101, 4145, 585, 938, 7239, 269, 9603, 547, 3267, 30492, 763, 834, 19136, 4578, 257, 7613, 568, 12082, 538, 519, 2361, 540, 1239, 2257, 543, 4702, 267, 799, 6663, 693, 3384, 1312, 2780, 543, 6310, 2645, 585, 1239, 4859, 267, 4393, 267, 513, 3267, 30492, 21080, 3560, 2344, 814, 2799, 14320, 5473, 23499, 10148, 543, 6859, 547, 1831, 513, 1950, 1062, 540, 1949, 1107, 8484, 1374, 267, 5663, 267, 3267, 30492, 763, 476, 274, 328, 299, 18888, 7177, 568, 26886, 676, 519, 595, 2316, 267, 519, 3943, 19296, 1530, 15247, 8189, 267, 799, 18715, 519, 2298, 540, 519, 1982, 543, 922, 10083, 547, 1870, 2115, 3267, 30492, 763, 6030, 1331, 3318, 543, 1382, 2866, 269, 634, 1982, 779, 20440, 568, 547, 2285, 519, 2556, 1702, 547, 1053, 538, 1931, 547, 14574, 267, 1374, 267, 2936, 543, 5043, 3267, 30492, 15761, 754, 707, 1991, 1565, 538, 8668, 547, 2744, 513, 4514, 1620, 540, 835, 540, 21768, 3951, 288, 779, 476, 1556, 2027, 3074, 267, 689, 3642, 543, 3301, 4702, 547, 2518, 8668, 2359, 543, 2635, 10509, 3267, 30492, 1607, 3486, 9457, 781, 23422, 568, 6322, 693, 2104, 4966, 585, 519, 1374, 267, 1852, 267, 543, 17293, 540, 1164, 26024, 14379, 11251, 1949, 607, 513, 4493, 540, 519, 14164, 3267, 1341, 0, 29074, 14198, 5606, 2397, 543, 4460, 990, 17738, 454, 279, 269, 272, 269, 4985, 543, 3498, 5943, 454, 11321, 710, 9443, 7048, 593, 519, 946, 540, 1114, 2409, 543, 1114, 2645, 547, 581, 2111, 547, 4163, 856, 1382, 593, 1018, 519, 26026, 539, 568, 1500, 909, 540, 281, 713, 2882, 519, 946, 540, 2520, 27370, 673, 2645, 630, 18066, 730, 1134, 2000, 690, 3101, 267, 593, 3135, 5439, 264, 607, 1134, 607, 2427, 1606, 4754, 5067, 541, 3457, 543, 3818, 15515, 600, 3280, 532, 1949, 799, 2981, 519, 4162, 540, 519, 26026, 539, 8818, 883, 2592, 563, 20059, 12720, 1949, 799, 616, 1031, 543, 799, 616, 1759, 593, 513, 1164, 6571, 5067, 541, 269, 9196, 1062, 616, 2645, 602, 929, 9065, 728, 513, 3070, 547, 519, 2042, 5532, 547, 519, 7020, 540, 1507, 3615, 602, 666, 581, 1336, 593, 519, 26026, 539, 269, 2991, 519, 12998, 540, 513, 5067, 541, 5951, 267, 519, 7020, 540, 891, 1507, 3615, 666, 581, 5645, 856, 538, 835, 540, 1079, 2081, 281, 1101, 540, 782, 267, 621, 568, 2009, 547, 3713, 519, 2623, 540, 513, 5365, 799, 568, 10630, 676, 519, 1843, 267, 543, 2034, 569, 972, 568, 513, 1978, 1377, 540, 13779, 602, 568, 6383, 676, 519, 4527, 540, 713, 1843, 630, 514, 519, 2013, 540, 3615, 799, 616, 5594, 12617, 538, 519, 11159, 540, 519, 4262, 5127, 1040, 898, 568, 4061, 2556, 602, 519, 7516, 543, 519, 4087, 540, 971, 3615, 581, 15095, 609, 519, 5067, 541, 779, 2702, 547, 3713, 873, 269, 769, 519, 2013, 540, 606, 606, 3663, 18757, 1843, 267, 621, 568, 519, 5250, 540, 519, 17974, 14692, 799, 2306, 621, 2009, 547, 3713, 543, 1287, 19665, 519, 1843, 269, 769, 713, 3184, 649, 786, 711, 4308, 609, 519, 2152, 602, 8451, 1282, 519, 1374, 540, 513, 5067, 541, 1062, 267, 6862, 786, 649, 4308, 609, 519, 2152, 799 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4367, 540, 1007, 5820, 543, 2409, 454, 320, 269, 11154, 725, 543, 5348, 4038, 1143, 538, 22758, 328, 17455, 527, 11951, 454, 321, 269, 654, 1794, 9774, 267, 519, 2757, 3818, 2275, 6847, 7594, 6766, 676, 14655, 543, 6239, 7489, 11477, 5389, 692, 290, 269, 7073, 2591, 543, 14759, 692, 272, 269, 31519, 540, 22758, 328, 17455, 1080, 1282, 519, 3735, 476, 736, 628, 2540, 454, 320, 269, 13809, 540, 18577, 5321, 543, 25752, 5979, 558, 10346, 454, 321, 269, 10020, 540, 1019, 19166, 545, 2950, 538, 8497, 543, 15268, 22758, 328, 17455, 527, 5986, 692, 7656, 269, 26386, 540, 22758, 328, 17455, 527, 5986, 692, 288, 269, 6206, 5820, 543, 8137, 12632, 692, 272, 269, 5940, 3307, 633, 14546, 543, 11922, 630, 324, 3052, 1421, 1094, 742, 1258, 267, 535, 3317, 601, 5452, 267, 12015, 20909, 8869, 994, 273, 269, 22716, 529, 593, 4195, 3132, 543, 4005, 1275, 454, 274, 269, 21344, 533, 2426, 1890, 267, 15280, 1145, 267, 29284, 267, 543, 12906, 18267, 692, 289, 269, 9828, 543, 3937, 692, 272, 269, 12465, 2645, 543, 8043, 630, 324, 3052, 1421, 27341, 543, 11641, 548, 267, 7601, 737, 611, 327, 2967, 994, 273, 269, 28871, 1031, 5986, 2409, 630, 324, 3052, 1421, 3500, 2909, 2358, 267, 13719, 31068, 267, 2848, 5446, 994, 274, 269, 11957, 540, 942, 543, 2837, 1852, 692, 4353, 269, 27748, 545, 8286, 543, 15040, 21339, 692, 288, 269, 2725, 1846, 543, 16738, 692, 272, 269, 15541, 534, 21013, 281, 13035, 23758, 11273, 538, 513, 7524, 16603, 1178, 11803, 29689, 609, 29549, 14546, 454, 273, 269, 21741, 752, 8575, 1794, 281, 2620, 1922, 3072, 28937, 1138, 332, 1229, 538, 18506, 14036, 2394, 13621, 569, 13035, 454, 274, 269, 4728, 342, 22462, 918, 768, 320, 281, 9269, 12403, 23353, 609, 10808, 267, 5452, 267, 543, 23599, 14546, 692, 289, 269, 29641, 543, 22053, 692, 272, 269, 667, 636, 744, 1663, 341, 281, 2898, 4816, 12277, 11273, 538, 513, 7646, 569, 838, 5367, 1178, 11803, 11489, 789, 10110, 782, 519, 10366, 454, 273, 269, 24385, 745, 962, 12112, 14269, 281, 2603, 639, 3597, 21100, 9900, 1093, 3737, 538, 513, 10347, 18506, 26185, 454, 274, 269, 12794, 752, 15223, 698, 281, 2458, 731, 16719, 11273, 609, 28401, 3282, 543, 10917, 1229, 609, 13342, 267, 2699, 669, 25788, 267, 543, 607, 2378, 564, 5866, 692, 290, 269, 29968, 338, 543, 9311, 9323, 692, 272, 269, 717, 2273, 320, 281, 2571, 267, 682, 822, 2989, 6366, 30103, 1500, 689, 10568, 7912, 543, 25496, 16074, 454, 273, 269, 2701, 1069, 531, 281, 5594, 6653, 2989, 1094, 742, 1258, 19899, 4310, 3694, 3335, 6039, 1282, 2027, 14026, 454, 274, 269, 3525, 584, 17240, 822, 281, 23599, 1666, 3901, 328, 7573, 8670, 5423, 609, 4006, 267, 3556, 600, 558, 267, 24036, 267, 804, 7174, 267, 543, 986, 529, 1231, 692, 309, 269, 12634, 7215, 543, 10124, 692, 288, 269, 674, 4288, 6901, 543, 14624, 692, 272, 269, 23889, 2518, 10366, 1247, 9363, 3020, 547, 4295, 3741, 454, 320, 269, 22758, 328, 17455, 527, 986, 5443, 30653, 454, 321, 269, 30340, 642, 785, 531, 5622, 512, 659, 657, 454, 273, 269, 1234, 5793, 31147, 5929, 8286, 585, 2413, 5493, 919, 543, 8192, 7375, 454, 320, 269, 12098, 534, 887, 1146, 795, 9655, 454, 321, 269, 3794, 9790, 6954, 575, 2273, 320, 1210, 4244, 1166, 2293, 692, 289, 269, 28298, 540, 1702, 2066, 5481, 692, 272, 269, 4317, 2923, 5867, 543, 2228, 2200, 24339, 520, 1944, 1569, 547, 2085, 6040, 7326, 454, 320, 269, 13334, 9055, 10023, 22758, 328, 20516, 338, 4687, 1920, 10346, 454, 321, 269, 2349, 9233, 543, 7270, 26940, 676, 1762, 22730, 13730, 827, 8497, 6561, 11951, 692, 290, 269, 26943, 2435, 23372, 543, 3444, 14426, 5385, 692, 272, 269, 20985, 7188, 2996, 543, 1402, 5346, 2621, 8744, 3309, 2950, 1927, 454, 320, 269, 19457, 2984, 543, 8840, 3694, 1472, 519, 3349, 454, 321, 269, 8490, 13123, 1063, 4529, 998, 1426, 692, 1103, 3932, 267, 519, 1353, 540, 22758, 328, 17455, 527, 5986, 2636, 721, 547, 5660, 519, 1950, 16799, 540, 3140, 4229, 267, 2686, 9163, 267, 543, 2123, 6386, 1369, 3127, 781, 5318, 8819, 1258, 13929, 5251, 269, 1635, 2502, 7184, 609, 713, 4241, 11951, 267, 649, 666, 1732, 1174, 922, 4644, 3564, 6071, 32351, 543, 5431, 519, 4105, 1909, 621, 4249, 538, 5935, 1514, 1894, 267, 5807, 5876, 267, 543, 4509, 4296, 547, 938, 5072, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24679, 729, 8748, 547, 1294, 865, 1082, 540, 596, 538, 24611, 585, 12339, 514, 3359, 543, 31898, 528, 923, 256, 1280, 1346, 540, 596, 945, 941, 711, 2111, 547, 7390, 267, 594, 993, 4278, 2683, 547, 2671, 1344, 827, 1079, 17758, 4843, 693, 1975, 601, 2006, 281, 519, 476, 1708, 274, 23436, 661, 1372, 22895, 1681, 13815, 543, 519, 476, 1708, 274, 3465, 6342, 19837, 10488, 13815, 269, 19672, 827, 8366, 23700, 616, 2630, 281, 5225, 1491, 513, 4090, 547, 1224, 827, 543, 8661, 519, 23602, 685, 18517, 2336, 8862, 754, 344, 9523, 337, 267, 8056, 18957, 12815, 5518, 543, 22952, 18509, 13541, 454, 1708, 274, 23436, 661, 1372, 22895, 1681, 13815, 454, 763, 23436, 661, 1372, 22895, 1681, 13815, 17767, 606, 1367, 610, 1895, 609, 513, 4876, 29627, 867, 540, 30023, 267, 1519, 6101, 543, 13016, 1443, 2358, 540, 1053, 543, 9164, 282, 5718, 538, 13464, 267, 3318, 267, 543, 5924, 2199, 2950, 282, 543, 824, 2238, 602, 5447, 609, 519, 2949, 5692, 543, 3853, 540, 519, 29663, 269, 901, 1032, 779, 18579, 568, 3220, 269, 717, 342, 754, 565, 2106, 623, 965, 267, 7905, 540, 6468, 779, 543, 13834, 5525, 543, 25760, 779, 7905, 540, 519, 28299, 693, 5204, 2350, 2224, 2160, 269, 3220, 269, 623, 965, 28837, 519, 2186, 540, 29013, 555, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 298, 1662, 18029, 328, 17455, 527, 18181, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 4095, 1299, 3162, 7489, 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 ]
[ 1711, 707, 1378, 9423, 2238, 563, 8505, 25959, 3019, 630, 324, 6470, 14318, 994, 14807, 1021, 18599, 12085, 1411, 9701, 5700, 6168, 7913, 27884, 454, 19445, 27884, 538, 519, 15858, 630, 19859, 7809, 994, 268, 13724, 741, 1603, 563, 268, 8058, 5876, 563, 268, 5620, 513, 5639, 269, 0, 14991, 273, 2464, 276, 543, 4020, 832, 454, 268, 8734, 476, 275, 267, 476, 1001, 271, 296, 4312, 2036, 539, 519, 1357, 585, 4267, 547, 891, 2055, 267, 855, 10093, 1405, 1336, 454, 29442, 3267, 1256, 538, 519, 11536, 276, 1179, 799, 15983, 3568, 519, 4267, 563, 1103, 11536, 276, 1018, 568, 519, 4214, 540, 513, 4020, 528, 269, 1772, 621, 1175, 513, 1599, 454, 3369, 846, 2012, 5956, 609, 606, 26627, 27664, 4484, 888, 3674, 621, 2141, 606, 5470, 547, 1045, 5803, 513, 4020, 528, 1599, 1510, 1210, 454, 1492, 1007, 20438, 267, 610, 568, 602, 1152, 606, 5470, 538, 7453, 7154, 888, 305, 269, 4460, 5292, 330, 10458, 454, 30606, 17270, 267, 5549, 563, 268, 8921, 2022, 538, 1888, 23645, 0, 2252, 596, 2811, 16475, 707, 1101, 21175, 267, 596, 1522, 581, 513, 3787, 16397, 269, 4634, 952, 596, 4312, 1044, 3257, 621, 585, 1296, 267, 621, 666, 581, 17173, 547, 1544, 971, 606, 1271, 7594, 256, 2422, 713, 13561, 28013, 547, 948, 1832, 3054, 593, 3950, 267, 865, 596, 666, 7340, 827, 519, 2566, 543, 1445, 593, 1018, 2731, 6927, 563, 1607, 2110, 3381, 568, 513, 13801, 267, 3102, 1686, 540, 519, 1101, 21175, 269, 898, 2882, 875, 519, 9702, 729, 9976, 676, 519, 19623, 338, 267, 729, 13166, 10294, 513, 3084, 9702, 538, 5437, 543, 875, 519, 7908, 8481, 602, 649, 616, 5432, 609, 941, 4535, 269, 1107, 12756, 681 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16291, 6441, 792, 940, 538, 519, 15168, 2632, 1670, 15099, 693, 853, 269, 13192, 3557, 2160, 454, 305, 7431, 808, 269, 10127, 553, 1731, 267, 1912, 6185, 563, 17445, 528, 267, 15168, 26585, 5358, 454, 4407, 519, 1871, 540, 1483, 3734, 1995, 814, 1279, 1044, 6444, 607, 606, 1271, 5057, 540, 12908, 2632, 1670, 6437, 267, 519, 2591, 540, 2870, 3617, 543, 2500, 1797, 540, 10128, 519, 4928, 609, 2146, 616, 593, 268, 4707, 269, 634, 1699, 1788, 3322, 5356, 3028, 19543, 3334, 538, 1896, 15168, 26585, 5049, 6035, 998, 634, 3427, 540, 2657, 543, 5274, 7896, 693, 853, 269, 13192, 3557, 2160, 563, 7883, 1023, 543, 4804, 20505, 585, 12160, 908, 4841, 454, 5804, 519, 2875, 5133, 267, 1808, 3853, 543, 6859, 585, 3028, 19543, 1331, 912, 268, 3246, 1053, 609, 3068, 547, 3068, 5872, 609, 4587, 7606, 538, 1931, 547, 24559, 1053, 609, 513, 10853, 267, 10531, 543, 3309, 1995, 540, 1373, 4587, 3248, 268, 3246, 1053, 3255, 547, 2170, 609, 8041, 602, 4196, 4587, 4079, 865, 602, 1053, 666, 1831, 5432, 609, 519, 2497, 267, 10986, 543, 1808, 2533, 3177, 676, 2146, 8041, 267, 543, 454, 268, 3246, 1053, 609, 519, 4316, 547, 1020, 18523, 5539, 11305, 527, 714, 523, 7589, 1983, 538, 1931, 547, 2333, 1053, 262, 2631, 540, 2123, 12117, 9497, 296, 666, 1118, 513, 3017, 8442, 543, 741, 7029, 547, 15400, 2146, 9706, 3016, 3028, 563, 7883, 1023, 543, 20505, 585, 7991, 19893, 454, 5804, 519, 2146, 5133, 267, 1808, 3853, 543, 6859, 540, 713, 3028, 19543, 1788, 1331, 912, 268, 9750, 543, 7393, 3346, 609, 2199, 3028, 8041, 547, 1020, 513, 6626, 3060, 540, 3028, 8041, 547, 581, 6039, 3248, 268, 2324, 609, 8041, 547, 2697, 1808, 2115, 602, 1223, 581, 1558, 676, 1053, 282, 543, 454, 268, 3384, 543, 7598, 513, 4640, 585, 5870, 519, 2115, 4857, 563, 1432, 568, 6796, 6441, 792, 940, 888, 306, 16291, 19543, 568, 5051, 4742, 606, 28627, 1031, 547, 1683, 1053, 609, 834, 9418, 268, 1272, 257, 23024, 1466, 676, 16046, 1053, 609, 2199, 2950, 543, 2146, 3028, 7426, 269, 26479, 540, 3028, 19543, 4268, 543, 519, 2165, 568, 1419, 19451, 569, 1031, 30430, 585, 15321, 1143, 543, 2146, 3028, 269, 15243, 344, 630, 1960, 277, 264, 3091, 519, 1739, 4214, 912, 306, 16291, 19543, 568, 513, 1106, 540, 23913, 1565, 538, 799, 1053, 4497, 538, 2238, 602, 2232, 1480, 543, 2146, 2115, 1927, 609, 11295, 3255, 17543, 2966, 547, 3895, 2875, 1565, 543, 1646, 269, 14506, 543, 25262, 640, 616, 1883, 2035, 540, 3028, 19543, 1862, 763, 3834, 1156, 538, 3028, 19543, 568, 2565, 538, 602, 621, 23327, 519, 1623, 25027, 2078, 1063, 3028, 543, 1565, 269, 630, 335, 269, 276, 994, 292, 6123, 540, 6796, 6441, 792, 940, 454, 2171, 580, 1068, 630, 1960, 279, 264, 5267, 602, 972, 616, 1896, 1271, 2609, 602, 267, 3144, 1927, 267, 948, 547, 10646, 3028, 19543, 912, 268, 4841, 1683, 930, 6209, 3028, 630, 1740, 994, 268, 634, 3028, 3177, 10742, 513, 991, 610, 3804, 454, 268, 634, 991, 610, 3804, 568, 3989, 676, 513, 2146, 630, 528, 930, 540, 922, 2818, 994, 268, 634, 3028, 3177, 676, 1053, 8928, 689, 543, 883, 1576, 6859, 454, 268, 634, 3028, 568, 7471, 883, 519, 1576, 676, 1797, 540, 10467, 602, 2154, 930, 1106, 540, 8086, 593, 519, 3028, 538, 1769, 540, 519, 1576, 6859, 454, 268, 634, 7084, 568, 12290, 543, 11117, 9935, 454, 306, 16291, 6441, 792, 940, 689, 513, 15858, 21887, 454, 1692, 731, 630, 1960, 274, 264, 3091, 519, 1739, 3741, 540, 1434, 2259, 585, 10128, 2146, 3028, 19543, 883, 519, 4928, 912, 268, 14288, 5491, 568, 585, 1565, 267, 711, 585, 3028, 3248, 268, 1684, 711, 14207, 4081, 22759, 3248, 268, 5590, 1565, 3853, 585, 1053, 3248, 268, 19372, 7355, 585, 519, 5542, 540, 2146, 3028, 1747, 906, 3248, 268, 3629, 2069, 958, 1606, 895, 6127, 547, 7556, 519, 2146, 1565, 3248, 268, 3629, 7028, 585, 1053, 547, 1451, 875, 547, 7556, 519, 2146, 1565, 3248, 268, 3687, 4476, 519, 11984, 1063, 519, 2875, 781, 2146, 1565, 1909, 543, 519, 4928, 1565, 1909, 3248, 268, 1234, 6253, 1074, 519, 12200, 14292, 1909, 3248, 268, 2142, 5423, 585, 10462, 543, 8390, 538, 2875, 1565, 4093, 282, 543, 454, 268, 7665, 4476, 519, 2146, 5539, 10066, 540, 519, 1576, 563, 1692, 731, 267, 808, 269, 630, 10955, 264, 630, 1960, 274, 1040, 589, 20513, 8865, 1504, 593, 2146, 6796, 4804, 1547, 7788, 1488, 4011, 2073, 24696, 281, 744, 5425, 299, 267, 4964, 563, 297, 659, 984, 344, 267, 645, 269, 630, 1960, 277, 1040, 6796, 19543, 538, 2221, 781, 2362, 2069, 269, 769, 645, 269, 15243, 344, 543, 27498, 630, 32295, 13776, 6796, 19543, 538, 2362, 2069, 281, 16610, 543, 2853, 630, 653, 269, 476, 274, 268, 1839, 1040, 5842, 12770, 2433, 21280, 8124, 5174, 817, 563, 2171, 580, 1068, 267, 918, 269, 630, 1960, 279, 1040, 14288, 6796, 4804, 281, 4706, 12791, 543, 25684, 269, 769, 10910, 1933, 338, 267, 681, 269, 589, 269, 1299, 20999, 267, 808, 269, 630, 2644, 4700, 630, 653, 269, 476, 274, 268, 1015, 1040, 14288, 6796, 4804, 281, 589, 16677, 698, 9609, 540, 11059, 543, 14506, 1547, 5842, 12770, 2433, 21280, 8124, 5174, 817, 23255, 563, 5278, 6435, 995, 6796, 6441, 792, 940, 25103, 454, 306, 5425, 308, 21816, 17621, 17583, 454, 300, 301, 28941, 3281, 716, 454, 9596, 543, 31160, 3013, 630, 290, 2734, 566, 585, 454, 13233, 543, 7991, 6796, 264, 0, 15253, 5962, 2098, 760, 11711, 454, 6826, 2386, 602, 596, 723, 606, 3498, 547, 1930, 713, 3758, 1826, 1354, 23842, 543, 5924, 11449, 269, 1215, 547, 796, 32502, 6119, 563, 1556, 269, 7367, 15406, 1923, 476, 6321, 3817, 454, 1607, 1990, 5792, 19251, 2378, 850, 3568, 513, 17948, 3992, 593, 27373, 543, 513, 4967, 2985, 585, 1053, 267, 865, 789, 666, 1246, 2059, 563, 1607, 6881, 3217, 513, 1413, 693, 875, 27373, 616, 1500, 267, 543, 799, 1913, 616, 1031, 547, 1118, 1142, 19432, 563, 1607, 3983, 7911, 3568, 476, 6321, 15942, 1519, 476, 280, 1449, 3341, 2055, 563, 3383, 268, 1934, 596, 616, 11570, 268, 20260, 610, 979, 1753, 2336, 2026, 2141, 267, 649, 666, 1405, 7227, 547, 5873, 875, 713, 4422, 538, 707, 4928, 269, 1403, 596, 723, 1022, 2055, 610, 4145, 267, 649, 666, 581, 6603, 693, 4757, 11333, 2593, 0, 8310, 3018, 267, 1053, 2066, 519, 2197, 5941, 519, 7145, 540, 3476, 7890, 5220, 538, 938, 1948, 2710, 3086, 274, 1805, 686, 7719, 2022, 269, 1284, 4280, 1053, 1684, 17890, 7890, 5220, 948, 15658, 6760, 286, 9701, 17037, 610, 9777, 2209, 581, 851, 540, 8159, 7890, 5220, 888, 18439, 519, 2640, 540, 606, 6575, 19899, 4310, 4928, 1282, 2817, 8551, 538, 4065, 3018, 269, 6258, 875, 547, 11753, 519, 6575, 538, 707, 4928, 689, 7544, 543, 12416, 547, 2575, 543, 3308, 6575, 269, 10812, 2200, 543, 1020, 2553, 547, 3142, 7499, 2609, 538, 707, 4928, 269, 12989, 568, 513, 10386, 540, 31369, 1543, 282, 3643, 32282, 4804, 300, 4215, 585, 3606, 1148, 20965, 2005, 568, 519, 4098, 540, 519, 1153, 1032, 543, 972, 568, 513, 2898, 3984, 540, 1390, 1919, 8345, 269, 3371, 616, 519, 1283, 547, 28273, 779, 585, 7855, 713, 3923, 269, 6744, 856, 938, 1118, 1478, 256, 737, 336, 539, 3820, 270, 25531, 814, 513, 6216, 1007, 1413, 269, 31418, 1176, 1265, 1534, 6814, 267, 3318, 1646, 13838, 267, 3059, 2645, 267, 3377, 2069, 2200, 267, 6575, 23405, 267, 2257, 2923, 543, 811, 269, 15681, 721, 1018, 596, 1589, 269, 2142, 1030, 909, 707, 19829, 1907, 6539, 609, 32282, 11819, 18118, 779, 8465, 2228, 3318, 1646, 585, 2776, 330, 268, 1321, 7855, 2336, 2252, 707, 1297, 835, 1394, 3562, 17469, 6999, 729, 547, 723, 1569, 547, 1390, 1007, 3992, 4566, 547, 11753, 883, 707, 6437, 1700, 707, 6999, 814, 1044, 11292, 269, 32282, 4804, 300, 4215, 2488, 936, 476, 4335, 2688, 14184, 3992, 4566, 4712, 585, 519, 16116, 269, 6423, 513, 1906, 29202, 1934, 281, 14301, 5606, 3720, 24110, 918, 268, 276, 1923, 7689, 4643, 1923, 17402, 16237, 6533, 707, 1053, 2542, 20965, 303, 7034, 4804, 300, 4215, 568, 707, 10278, 585, 1463, 1569, 547, 5215, 540, 4928, 268, 2819, 267, 6437, 2389, 1173, 9643, 3059, 2200, 269, 32282, 4804, 300, 4215, 13976, 593, 519, 4222, 540, 1857, 2923, 543, 568, 2966, 547, 2087, 4116, 7145, 543, 2875, 9740, 269, 8249, 616, 13988, 547, 5871, 11759, 543, 3084, 4441, 543, 1331, 7044, 543, 2170, 1161, 267, 607, 1134, 607, 8301, 267, 6054, 267, 543, 538, 3829, 20965, 21283, 909, 707, 3450, 609, 32282, 4804, 300, 4215, 256, 12414, 547, 8940, 4877, 2125, 14048, 332, 4215, 3820, 585, 2653, 14092, 947, 547, 19113, 2200, 5466, 3584, 899, 281, 12020, 1299, 19369, 10495, 1299, 16214, 5871, 11759, 3557, 11621, 13229, 19019, 17564, 1299, 7726, 532, 9828, 8437, 1934, 547, 1294, 811, 267, 610, 1569, 2200, 689, 570, 3633, 13669, 802, 4065, 2630, 281, 9608, 717, 761, 607, 6206, 547, 11773, 1548, 779, 519, 20965, 27852, 4103, 7001, 938, 3007, 609, 741, 4190, 4778, 543, 6417, 30762, 267, 1312, 540, 799, 3095, 2047, 547, 4909, 2035, 6026, 538, 2596, 7998, 5049, 269, 9012, 2200, 12286, 538, 519, 3992, 267, 22695, 1746, 11061, 538, 9605, 4103, 1683, 513, 11617, 3638, 1259, 547, 17063, 1927, 19706, 7998, 267, 13674, 267, 543, 519, 2470, 540, 3595, 269, 4841, 2253, 676, 8384, 513, 20965, 1607, 4832, 267, 946, 32282, 4804, 300, 4215, 779, 968, 5793, 716, 1161, 892, 547, 4603, 267, 13861, 267, 543, 8495, 256, 2060, 936, 476, 1789, 267, 1822, 1863, 7044, 267, 7317, 3756, 267, 8301, 24056, 267, 3594, 267, 543, 3992, 4566, 267, 32282, 4804, 300, 4215, 2337, 596, 547, 1832, 1565, 9800, 782, 4005, 1279, 269, 12833, 924, 707, 1053, 547, 2263, 6991, 267, 2837, 267, 3165, 14624, 267, 543, 2916, 609, 713, 4015, 540, 12286, 3756, 281, 18181, 609, 17491, 267, 31218, 0, 30696, 593, 519, 12332, 540, 8086, 454, 12626, 4214, 540, 968, 10915, 3005, 7536, 29265, 22688, 16659, 325, 548, 330, 6440, 390, 481, 16745, 333, 270, 562, 1496, 290, 316, 630, 17239, 8582, 994, 587, 374, 1945, 602, 2982, 267, 20475, 267, 610, 568, 513, 1129, 540, 1945, 281, 4256, 29656, 21243, 1753, 568, 513, 8086, 540, 741, 1434, 6492, 269, 634, 2319, 779, 9271, 540, 3735, 3100, 547, 581, 513, 8086, 593, 519, 18006, 269, 0, 1103, 476, 1220, 278, 267, 519, 3955, 32744, 19937, 593, 8693, 7827, 630, 7709, 6717, 264, 1500, 513, 2462, 10943, 1662, 267, 17548, 602, 2518, 4262, 2157, 949, 4473, 1063, 476, 1240, 17744, 543, 476, 6795, 17744, 676, 476, 13975, 271, 1547, 1809, 1346, 2338, 941, 9808, 9853, 609, 24604, 9789, 1034, 3138, 4040, 540, 799, 729, 519, 1761, 9295, 547, 4262, 7400, 4473, 689, 13621, 540, 519, 9649, 4672, 9212, 1631, 10145, 7566, 23529, 543, 19778, 269, 1924, 519, 3864, 5742, 781, 2257, 7616, 1982, 267, 17563, 476, 278, 267, 2813, 513, 1382, 931, 24832, 267, 29805, 4672, 273, 22855, 2073, 547, 1353, 4672, 2530, 3157, 593, 17407, 630, 7945, 607, 1018, 26558, 839, 1608, 1324, 267, 3182, 3293, 1657, 538, 23529, 264, 607, 513, 1259, 547, 7447, 875, 1454, 18626, 4672, 786, 1039, 547, 2104, 4262, 7400, 4473, 269, 4653, 267, 1085, 656, 3275, 1354, 7379, 6717, 22316, 547, 5305, 922, 11359, 4879, 538, 5181, 267, 4672, 273, 22855, 3744, 5950, 513, 12744, 540, 741, 4681, 269, 634, 909, 3333, 582, 281, 32114, 513, 4571, 9792, 5434, 9183, 267, 4672, 9212, 543, 18626, 22260, 4805, 786, 3565, 1063, 476, 274, 269, 276, 17744, 543, 476, 3607, 269, 279, 17744, 540, 4262, 7400, 4473, 676, 476, 13975, 271, 269, 769, 519, 10782, 30924, 9183, 630, 1492, 10171, 540, 713, 8345, 568, 476, 272, 538, 476, 736, 1070, 18626, 4672, 13621, 1223, 3132, 476, 10019, 17744, 540, 4262, 7400, 4473, 1765, 2254, 10203, 1761, 7418, 689, 824, 2959, 267, 3226, 8143, 7269, 630, 4248, 21040, 607, 621, 2112, 916, 1040, 4634, 476, 3445, 17744, 540, 4262, 7400, 4473, 1131, 5734, 9381, 2127, 2182, 267, 6721, 6296, 14700, 538, 1970, 268, 2391, 4872, 971, 607, 24543, 543, 1715, 3840, 269, 1809, 519, 1483, 538, 1495, 566, 1522, 2097, 1310, 476, 13975, 271, 269, 19778, 781, 6385, 1427, 11661, 25882, 6816, 3794, 659, 1512, 568, 513, 4990, 540, 16968, 1126, 585, 4672, 2530, 538, 19778, 267, 543, 922, 18956, 4667, 2693, 547, 3136, 547, 519, 1439, 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, 7170, 281, 4635, 11638, 6363, 15968, 14271, 11388, 1436, 5303, 585, 28304, 1912, 984, 5362, 609, 8682, 6953, 2988, 16915, 692, 7072, 912, 1607, 14392, 3391, 786, 6338, 596, 547, 1210, 4437, 15701, 529, 27076, 781, 11638, 6363, 15968, 14271, 11388, 1436, 630, 300, 12396, 264, 2029, 585, 20408, 943, 984, 5362, 543, 12194, 998, 1582, 268, 1506, 335, 16915, 269, 1635, 9256, 891, 2553, 267, 596, 666, 7148, 883, 707, 32436, 2247, 543, 960, 2509, 20547, 3929, 7161, 2404, 609, 1808, 943, 984, 5362, 610, 2489, 4160, 269, 7490, 4063, 602, 713, 4480, 949, 711, 5372, 3318, 948, 855, 5713, 607, 513, 14911, 1907, 547, 1489, 707, 2790, 1072, 3460, 780, 3721, 476, 272, 281, 3194, 543, 13760, 631, 12396, 5303, 454, 6524, 11362, 883, 1582, 268, 1506, 335, 16915, 267, 24559, 3054, 609, 519, 3741, 3297, 631, 12396, 2029, 676, 2542, 2090, 543, 4930, 2139, 2228, 269, 901, 1702, 786, 1683, 5813, 883, 875, 12451, 3310, 938, 4703, 543, 8186, 267, 7393, 707, 1620, 540, 519, 1184, 780, 3721, 476, 273, 281, 21733, 790, 3026, 10354, 16811, 454, 303, 21332, 610, 2744, 1569, 547, 513, 4437, 15701, 529, 27076, 3926, 610, 1776, 2147, 31942, 6220, 631, 12396, 2029, 269, 5269, 2386, 547, 1224, 3593, 8261, 338, 8499, 1354, 23312, 780, 3721, 476, 274, 281, 10576, 2659, 16930, 1912, 14113, 454, 29991, 1018, 12153, 707, 4250, 610, 4160, 269, 9861, 3222, 540, 519, 2707, 6087, 596, 547, 3077, 1880, 3344, 1282, 1582, 268, 1506, 335, 16915, 7886, 3927, 780, 3721, 476, 275, 281, 16259, 513, 2372, 2884, 6611, 454, 16521, 513, 9350, 543, 9602, 2230, 1863, 689, 19240, 1141, 596, 666, 2932, 707, 1582, 268, 1506, 335, 16915, 7886, 20354, 269, 27814, 267, 2824, 513, 4087, 1141, 596, 1745, 5150, 543, 17159, 780, 3721, 476, 276, 281, 5590, 31035, 5384, 585, 11545, 6657, 454, 291, 539, 6510, 693, 2547, 476, 1428, 268, 1789, 3764, 829, 1554, 585, 8026, 1582, 268, 1506, 335, 16915, 609, 631, 12396, 2029, 269, 3117, 29548, 4249, 513, 2629, 1909, 538, 556, 12686, 922, 2640, 780, 3721, 476, 277, 281, 10670, 2060, 4039, 1314, 566, 9828, 454, 9359, 676, 22196, 707, 1560, 543, 2247, 269, 19171, 707, 4064, 543, 1491, 2620, 24967, 267, 2519, 593, 16089, 8082, 689, 1585, 2694, 540, 707, 1560, 269, 26431, 3500, 1524, 707, 7244, 2557, 2394, 596, 3914, 513, 1533, 540, 11005, 780, 3721, 476, 278, 281, 9024, 5573, 631, 12396, 27620, 20491, 454, 31282, 593, 707, 4437, 15701, 529, 27076, 3926, 543, 1305, 621, 547, 835, 540, 519, 1079, 12331, 2966, 585, 6915, 637, 28585, 3797, 269, 7427, 519, 10672, 781, 4808, 3823, 4908, 5468, 4143, 547, 707, 4857, 943, 14113, 780, 3721, 476, 279, 281, 9373, 8682, 6953, 2988, 2254, 545, 3557, 454, 4407, 4509, 4598, 547, 519, 6074, 4908, 267, 14650, 3054, 4743, 2922, 543, 8746, 1510, 519, 4527, 540, 519, 21787, 1843, 610, 3510, 269, 2422, 2318, 14751, 725, 3358, 547, 707, 2115, 267, 971, 607, 834, 296, 993, 5827, 2437, 834, 296, 5305, 1250, 4250, 2437, 610, 834, 296, 3972, 8885, 3010, 3721, 476, 280, 281, 20864, 10439, 3074, 543, 10500, 3305, 725, 454, 300, 10235, 707, 10531, 14751, 725, 609, 3308, 11052, 1644, 547, 707, 943, 14113, 269, 1280, 1383, 267, 952, 596, 4250, 1857, 6340, 267, 4952, 12419, 513, 3811, 6881, 1247, 18110, 16779, 6898, 780, 3721, 476, 1015, 281, 18554, 18776, 543, 17797, 17115, 454, 9199, 1188, 9283, 538, 5883, 707, 943, 14113, 1310, 1142, 8400, 269, 1403, 2556, 267, 17408, 752, 4908, 5468, 610, 4188, 32331, 9935, 547, 11694, 7145, 780, 6962, 912, 25219, 559, 1944, 11638, 6363, 15968, 14271, 11388, 1436, 2029, 7258, 1582, 268, 1506, 335, 16915, 3091, 606, 5499, 1935, 547, 29270, 543, 5466, 943, 984, 5362, 269, 2755, 9639, 543, 18094, 616, 1898, 267, 10128, 891, 2853, 883, 707, 3232, 6296, 666, 1291, 547, 8101, 3356, 538, 20408, 19450, 12194, 269, 5457, 2141, 547, 5077, 3782, 4648, 950, 7231, 609, 4049, 2790, 1072, 4145, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10292, 6865, 3633, 3041, 13138, 2562, 14510, 2636, 547, 946, 519, 4359, 9716, 3818, 23151, 15222, 1436, 630, 300, 12396, 264, 2029, 585, 4052, 946, 538, 4948, 1272, 269, 634, 29622, 602, 941, 519, 4493, 540, 519, 631, 12396, 2029, 543, 15494, 2409, 267, 602, 616, 1031, 538, 519, 3926, 267, 616, 5342, 538, 6576, 267, 519, 7330, 267, 3624, 267, 3567, 267, 3127, 543, 824, 2477, 269, 15789, 543, 15494, 23838, 540, 19739, 6865, 3633, 3041, 13138, 2562, 14510, 616, 1759, 593, 1896, 2409, 910, 1505, 540, 6915, 637, 28585, 3797, 267, 7293, 16982, 3797, 267, 10489, 31424, 14242, 267, 1505, 540, 15494, 540, 2618, 657, 11703, 2619, 3098, 269, 1452, 2409, 616, 8045, 538, 19739, 6865, 3633, 3041, 13138, 2562, 14510, 998, 519, 21777, 2189, 2029, 540, 631, 12396, 267, 799, 2636, 3621, 1382, 543, 2409, 547, 581, 1031, 593, 513, 4625, 1007, 2298, 1377, 267, 8236, 1164, 2164, 540, 4398, 540, 519, 3926, 3498, 563, 20373, 540, 519, 1764, 12331, 454, 1103, 519, 12331, 476, 272, 543, 476, 273, 519, 3926, 13333, 2687, 547, 519, 1505, 540, 6915, 637, 28585, 3797, 269, 1703, 568, 1031, 513, 3044, 1982, 3490, 585, 19836, 307, 269, 15789, 616, 1031, 547, 1711, 1264, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 7021, 5765, 1912, 984, 5362, 543, 674, 8986, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 8682, 6953, 2988, 16915, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 8080, 547, 938, 3460, 998, 519, 4241, 1158, 540, 6128, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 513, 4583, 11532, 602, 814, 1044, 1634, 2094, 3504, 2053, 910, 519, 25355, 14497, 269, 3143, 991, 547, 5855, 952, 596, 10093, 1405, 4862, 827, 621, 1354, 282, 676, 519, 1439, 540, 713, 3296, 267, 596, 786, 1831, 922, 1007, 10178, 2439, 4131, 781, 1376, 609, 1018, 513, 11532, 2965, 568, 269, 589, 11532, 568, 899, 513, 11015, 4062, 602, 13352, 883, 513, 8273, 4605, 1572, 2979, 269, 1879, 2576, 25395, 513, 11532, 267, 789, 1265, 513, 2078, 1063, 1114, 2694, 540, 2979, 602, 2306, 2631, 543, 666, 948, 721, 4194, 824, 13410, 780, 3086, 267, 1577, 803, 6338, 596, 547, 513, 13085, 812, 3957, 19456, 23768, 269, 1261, 729, 606, 3504, 5259, 14544, 945, 6068, 2979, 269, 2290, 1554, 267, 646, 4362, 1945, 5863, 827, 1318, 12730, 1107, 798, 596, 917, 1018, 513, 1318, 6906, 5654, 899, 286, 898, 781, 1175, 513, 6906, 1141, 835, 5086, 3800, 476, 3445, 5232, 269, 5994, 3168, 693, 513, 7944, 540, 513, 14328, 4216, 1107, 602, 1131, 2285, 596, 513, 3501, 1383, 540, 513, 1318, 6906, 269, 3767, 1394, 547, 19456, 23768, 13718, 3891, 7691, 602, 972, 568, 513, 2027, 4276, 1063, 519, 13080, 540, 519, 1614, 5011, 540, 1022, 1318, 6906, 269, 1677, 2491, 1010, 6602, 267, 594, 1616, 596, 547, 1589, 827, 707, 1378, 4463, 543, 6186, 3259, 269, 1403, 596, 2268, 875, 7381, 596, 616, 543, 849, 2268, 519, 3845, 689, 707, 13105, 547, 707, 31840, 950, 596, 3914, 909, 607, 1164, 607, 596, 666, 267, 596, 1522, 5469, 1945, 4277, 269, 1635, 2695, 2130, 1312, 7403, 630, 20123, 28745, 1142, 1297, 676, 3294, 264, 543, 4946, 873, 1927, 267, 596, 1205, 513, 2698, 602, 568, 3592, 3160, 547, 519, 4009, 540, 707, 4463, 256, 2913, 781, 2161, 707, 4463, 568, 476, 276, 3952, 267, 543, 707, 856, 560, 4958, 3481, 6186, 3259, 568, 476, 273, 3952, 269, 3973, 267, 476, 276, 317, 273, 1341, 476, 273, 317, 273, 815, 476, 3066, 267, 799, 3884, 1405, 3833, 519, 1482, 607, 707, 4463, 16302, 630, 276, 317, 273, 284, 1839, 1070, 855, 7168, 2673, 2439, 6546, 781, 1317, 3425, 5749, 1405, 3501, 1318, 12730, 267, 855, 4952, 5373, 513, 8880, 1899, 2066, 707, 1560, 693, 707, 22765, 1377, 543, 1776, 7299, 1899, 1524, 15700, 519, 2666, 269, 1452, 1079, 3515, 1106, 1079, 5011, 540, 513, 1318, 6906, 3330, 596, 267, 1247, 519, 30494, 1131, 581, 519, 4890, 2786, 1899, 8220, 707, 2212, 547, 707, 19462, 269, 1809, 1586, 267, 1004, 5749, 1405, 9985, 8032, 899, 10833, 2901, 267, 865, 621, 4465, 1405, 6474, 4010, 780, 4913, 267, 5215, 540, 1296, 3516, 267, 513, 21184, 3957, 21482, 573, 3357, 2059, 543, 9863, 602, 713, 2856, 1568, 9985, 585, 1483, 1318, 12730, 256, 4340, 547, 21482, 573, 781, 9589, 4542, 267, 538, 4888, 312, 1318, 6906, 267, 519, 2040, 540, 519, 10945, 540, 519, 1079, 10156, 5011, 630, 10193, 1634, 607, 7953, 264, 11224, 519, 4009, 540, 519, 13074, 2427, 630, 1492, 30494, 1040, 1924, 1210, 938, 3105, 2338, 267, 621, 1797, 602, 513, 317, 273, 1341, 536, 317, 273, 815, 524, 317, 273, 267, 1141, 834, 320, 257, 543, 834, 321, 257, 2099, 519, 13080, 540, 519, 7953, 267, 543, 834, 322, 257, 6763, 585, 519, 30494, 269, 27355, 1405, 602, 3579, 2496, 2080, 2501, 519, 1187, 851, 1107, 1577, 781, 2119, 930, 1806, 2439, 7078, 476, 272, 281, 5994, 2348, 513, 1318, 6906, 609, 7953, 7893, 476, 274, 6279, 543, 476, 275, 6279, 1279, 269, 1548, 568, 519, 3259, 540, 519, 30494, 2496, 2414, 1265, 519, 2626, 267, 1101, 267, 649, 5173, 519, 10945, 540, 519, 1850, 13080, 912, 274, 317, 273, 815, 476, 280, 454, 275, 317, 273, 815, 476, 1626, 692, 9202, 267, 1039, 891, 2418, 912, 280, 1341, 476, 1626, 815, 476, 1839, 692, 7661, 267, 1491, 519, 4009, 3597, 540, 519, 1267, 547, 3489, 519, 30494, 1871, 630, 20357, 621, 781, 519, 4009, 3597, 602, 3893, 16302, 2187, 18414, 1839, 815, 476, 276, 6279, 692, 11997, 267, 519, 30494, 568, 476, 276, 6279, 1279, 2439, 7078, 476, 273, 281, 14597, 596, 723, 513, 1318, 6906, 4171, 30494, 3800, 476, 1015, 4699, 269, 1656, 835, 1850, 568, 476, 277, 4699, 1279, 269, 2052, 596, 7058, 519, 3259, 540, 519, 2034, 1850, 2496, 7712, 649, 2907, 917, 519, 30494, 543, 835, 1850, 267, 1577, 781, 30337, 519, 3830, 5594, 547, 20586, 835, 540, 519, 7164, 7953, 912, 322, 317, 273, 815, 513, 317, 273, 1341, 536, 317, 273, 454, 322, 317, 273, 910, 513, 317, 273, 815, 536, 317, 273, 692, 2171, 917, 602, 524, 284, 1015, 9492, 543, 513, 284, 277, 9492, 267, 726, 19982, 891, 2418, 538, 912, 1015, 317, 273, 910, 476, 277, 317, 273, 815, 536, 317, 273, 454, 1911, 910, 476, 3607, 815, 536, 317, 273, 454, 5038, 815, 536, 317, 273, 692, 21982, 519, 4009, 3597, 540, 1312, 5011, 3947, 721, 912, 18414, 5038, 815, 536, 454, 279, 815, 536, 692, 3383, 267, 519, 7508, 1850, 781, 3259, 7140, 856, 547, 581, 476, 279, 17744, 256, 1215, 15813, 568, 602, 2496, 1103, 3932, 267, 7064, 547, 19456, 23768, 543, 21482, 573, 267, 649, 1631, 4865, 606, 6909, 1907, 585, 6061, 13655, 6456, 1369, 1318, 12730, 269, 3807, 3314, 741, 2241, 2943, 3532, 4542, 281, 513, 317, 273, 1341, 536, 317, 273, 815, 524, 317, 273, 269, 3414, 2259, 267, 596, 3513, 4166, 4487, 713, 1523, 543, 23666, 3025, 1472, 596, 609, 707, 9241, 9715, 12166, 7326, 256, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 292, 16090, 573, 779, 19577, 540, 519, 25355, 14497, 454, 3528, 918, 15811, 8899, 324, 1412, 1240, 454, 21316, 295, 268, 4343, 277, 281, 9119, 12054, 14373, 454, 298, 15811, 779, 1957, 568, 513, 1360, 9488, 1163, 3789, 540, 21482, 573, 779, 6169, 540, 519, 25355, 14497, 269, 901, 6169, 568, 711, 2938, 1360, 1419, 3544, 606, 15938, 16387, 1576, 269, 918, 15811, 8214, 1194, 519, 6169, 609, 1100, 1991, 15938, 960, 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, 1103, 713, 1306, 6255, 18553, 18639, 1576, 596, 786, 1205, 3323, 538, 713, 2511, 540, 18639, 267, 799, 8992, 4222, 267, 16608, 543, 3929, 1852, 269, 769, 1840, 267, 596, 786, 1451, 519, 10569, 547, 519, 2259, 540, 713, 2511, 540, 10649, 267, 799, 616, 849, 1455, 547, 824, 6163, 912, 308, 329, 329, 599, 328, 7244, 267, 799, 7444, 11731, 519, 1350, 2714, 529, 538, 513, 1259, 602, 8992, 14887, 543, 4514, 7244, 543, 6770, 721, 21755, 563, 268, 634, 17020, 13757, 267, 799, 616, 4887, 27373, 602, 948, 1852, 519, 4674, 538, 1142, 607, 3570, 543, 3947, 721, 1769, 1145, 563, 268, 634, 3220, 880, 16210, 610, 1445, 540, 8289, 593, 513, 6378, 1448, 267, 609, 3007, 543, 9837, 563, 1103, 1840, 267, 621, 568, 513, 1360, 4277, 1576, 952, 596, 1616, 547, 1205, 3323, 538, 519, 2259, 540, 18639, 267, 7488, 540, 519, 2511, 596, 1616, 547, 2259, 267, 607, 621, 6941, 1142, 14302, 543, 922, 2953, 12972, 267, 5356, 513, 3099, 540, 607, 11446, 563, 1432, 568, 1306, 6255, 18553, 18639, 888, 2005, 568, 513, 6422, 543, 9308, 14053, 2511, 540, 18639, 855, 5078, 585, 3025, 267, 1256, 585, 1346, 945, 723, 2760, 2944, 2168, 3635, 610, 723, 3908, 8112, 563, 1607, 2511, 540, 18639, 12090, 538, 519, 2749, 540, 631, 903, 648, 630, 19328, 264, 676, 519, 1390, 4487, 16444, 918, 269, 623, 3430, 629, 6062, 11835, 529, 269, 1306, 6255, 18553, 10649, 12777, 1797, 834, 344, 7541, 540, 519, 5216, 8371, 2580, 799, 941, 3989, 676, 519, 27041, 4793, 534, 329, 8932, 538, 519, 18639, 27659, 6652, 269, 4340, 547, 4793, 534, 329, 8932, 267, 519, 2619, 540, 6418, 22729, 547, 7866, 519, 3117, 4109, 8682, 3322, 519, 1739, 5216, 5289, 2853, 281, 962, 4821, 1496, 332, 7394, 9479, 3910, 715, 12011, 4821, 1496, 17238, 2509, 13951, 3910, 1306, 3570, 1496, 14006, 675, 3910, 2398, 534, 599, 4821, 1496, 321, 805, 327, 1852, 3910, 2398, 520, 344, 1695, 4673, 1496, 31553, 540, 519, 12823, 3910, 667, 9618, 3570, 1496, 935, 1417, 1674, 3910, 667, 1506, 3570, 1496, 4364, 2787, 3910, 6341, 611, 6062, 1496, 25388, 1632, 538, 519, 8471, 14073, 1607, 1505, 540, 10649, 5161, 540, 15222, 1944, 519, 7362, 609, 513, 11636, 3126, 540, 2022, 999, 269, 589, 1184, 602, 7472, 606, 7920, 4835, 3002, 543, 513, 1625, 4328, 17570, 602, 19140, 5809, 519, 6091, 543, 8219, 269, 634, 1267, 568, 4824, 10009, 267, 513, 2178, 1560, 543, 513, 1769, 543, 9350, 2247, 563, 763, 3232, 2259, 540, 1306, 6255, 18553, 6770, 6024, 2208, 998, 17279, 540, 519, 607, 11446, 267, 4101, 707, 2247, 543, 1560, 607, 596, 3605, 1945, 1007, 827, 519, 2022, 999, 543, 3054, 269, 769, 1840, 267, 3152, 3929, 543, 2566, 1852, 568, 6913, 267, 519, 2247, 568, 25623, 267, 4576, 568, 15286, 543, 519, 4761, 1062, 568, 15181, 563, 1103, 713, 1576, 649, 786, 2491, 1900, 676, 1900, 543, 538, 1469, 267, 519, 2022, 999, 602, 1118, 909, 519, 1101, 3126, 540, 1306, 6255, 18553, 610, 932, 1731, 1080, 320, 3126, 20218, 547, 9004, 13802, 267, 9600, 543, 824, 5739, 6878, 19017, 538, 707, 8219, 267, 8031, 543, 15374, 269, 901, 3126, 3568, 519, 2556, 2609, 547, 11177, 707, 1072, 543, 1625, 1518, 707, 11248, 563, 763, 1576, 5161, 540, 476, 277, 7886, 912, 306, 11970, 476, 272, 281, 586, 514, 10649, 1362, 267, 799, 4352, 711, 606, 1306, 6255, 18553, 2511, 1362, 267, 2337, 547, 1930, 938, 1560, 676, 2324, 538, 513, 12809, 543, 12675, 1259, 1142, 14302, 267, 7133, 519, 27811, 8031, 267, 519, 3673, 23706, 630, 6618, 633, 8031, 602, 3295, 938, 6091, 1916, 268, 29140, 476, 273, 281, 513, 1362, 585, 596, 547, 1451, 875, 547, 2259, 519, 6129, 6428, 20706, 630, 306, 1722, 534, 600, 2532, 541, 589, 543, 645, 1070, 6045, 1900, 676, 1900, 269, 6129, 6428, 20706, 616, 3636, 5346, 2022, 999, 13736, 538, 1306, 6255, 18553, 18639, 543, 849, 538, 824, 6163, 540, 18639, 971, 607, 670, 24048, 610, 966, 4176, 14505, 269, 1358, 616, 2022, 999, 602, 5965, 721, 547, 1685, 519, 1964, 540, 519, 607, 11446, 543, 32570, 938, 1560, 547, 2057, 7063, 269, 1403, 835, 1554, 596, 798, 711, 723, 1454, 942, 547, 2259, 10649, 267, 519, 2259, 540, 6129, 6428, 20706, 666, 581, 513, 1360, 1434, 4244, 269, 769, 713, 1362, 649, 786, 1439, 609, 513, 7244, 3635, 563, 268, 29140, 476, 274, 281, 513, 1362, 1141, 649, 786, 11753, 519, 6129, 6428, 20706, 4121, 538, 519, 3105, 8400, 543, 1039, 519, 1964, 540, 519, 1306, 6255, 18553, 10022, 476, 272, 30557, 2022, 999, 563, 268, 29140, 476, 275, 281, 538, 713, 1362, 649, 786, 1413, 693, 519, 27206, 2022, 999, 602, 1118, 909, 10022, 476, 272, 269, 3502, 3769, 616, 1346, 2022, 999, 689, 519, 10022, 6322, 693, 4359, 10649, 9439, 269, 1284, 4363, 602, 1354, 8026, 891, 607, 11446, 596, 798, 519, 6129, 6428, 20706, 6045, 538, 29140, 476, 273, 547, 3636, 909, 707, 1560, 563, 268, 29140, 476, 276, 281, 713, 1362, 2882, 519, 4359, 2022, 999, 540, 519, 10022, 630, 2254, 5227, 585, 14987, 994, 268, 29140, 476, 277, 281, 713, 1362, 2882, 782, 519, 2022, 999, 2938, 538, 519, 3105, 7886, 269, 1403, 596, 616, 513, 19444, 267, 2259, 519, 1101, 851, 267, 909, 547, 18937, 553, 3570, 630, 2381, 269, 476, 5392, 264, 543, 519, 2034, 851, 689, 519, 13123, 630, 272, 327, 1040, 0, 9596, 811, 827, 28859, 350, 377, 19764, 374, 454, 19064, 4176, 514, 1475, 312, 1446, 1475, 297, 344, 583, 4771, 1475, 12626, 9502, 585, 4457, 7956, 2008, 347, 9774, 275, 1183, 2426, 275, 267, 1183, 2426, 276, 1475, 9774, 275, 32748, 1263, 275, 267, 32748, 1263, 276, 1475, 1084, 20160, 1315, 2182, 547, 14710, 2008, 347, 8245, 680, 1881, 4457, 1475, 303, 4176, 514, 1475, 312, 1446, 1475, 297, 344, 583, 4771, 1475, 12626, 9502, 585, 4457, 7956, 2008, 347, 9774, 275, 1475, 9774, 275, 1475, 332, 529, 2151, 31773, 1315, 6188, 3729, 1315, 547, 1404, 1315, 29749, 1315, 29134, 1315, 562, 2795, 1399, 2008, 347, 651, 2426, 275, 267, 1183, 2426, 276, 1475, 14150, 1263, 275, 267, 32748, 1263, 276, 1475, 17641, 1315, 3532, 1315, 1732, 1315, 5594, 811, 982, 1315, 24526, 1315, 10795, 1315, 1655, 538, 741, 7121, 267, 552, 3052, 269, 1294, 22614, 503, 378, 19764, 371, 347, 419, 503, 378, 19764, 374, 314, 321, 2967, 274, 7117, 21628, 273, 316, 1315, 21519, 7117, 21628, 2008, 1692, 798, 596, 3314, 28859, 350, 377, 19764, 374, 15017, 8070, 707, 6337, 267, 1383, 5220, 543, 3232, 6780, 1934, 547, 2671, 609, 519, 4457, 1565, 2146, 269, 0, 15933, 338, 6153, 1280, 519, 590, 921, 523, 454, 2414, 16138, 880, 519, 838, 22220, 267, 596, 1590, 3548, 519, 1318, 3536, 269, 1703, 616, 1896, 2010, 540, 3536, 602, 616, 1434, 585, 519, 838, 22220, 269, 1452, 616, 7849, 3536, 267, 11273, 3536, 267, 11922, 267, 543, 10683, 269, 634, 1655, 3903, 585, 596, 5673, 593, 707, 1378, 2115, 269, 595, 10541, 5388, 949, 2270, 1447, 6171, 595, 267, 13101, 267, 543, 4401, 563, 20332, 3536, 1434, 585, 519, 838, 22220, 1331, 9274, 267, 10808, 267, 5452, 267, 543, 11041, 269, 1358, 948, 519, 838, 22220, 7558, 1426, 543, 7006, 601, 3653, 269, 3117, 11167, 513, 3099, 540, 3636, 543, 25970, 3536, 666, 2087, 838, 22220, 1599, 269, 1452, 3536, 1058, 581, 10057, 609, 21464, 5666, 540, 5613, 543, 5388, 563, 299, 545, 528, 823, 568, 606, 10786, 602, 666, 16138, 880, 519, 838, 22220, 543, 5351, 12536, 269, 898, 849, 2337, 547, 1847, 1973, 998, 519, 1560, 269, 13397, 528, 823, 3597, 7401, 666, 581, 10057, 607, 513, 6653, 4235, 547, 2087, 519, 9667, 1184, 269, 13397, 528, 823, 666, 849, 581, 3144, 538, 519, 1106, 540, 512, 3307, 999, 543, 21447, 269, 13397, 528, 823, 814, 1360, 2370, 6492, 267, 865, 6704, 621, 568, 12691, 547, 2014, 1022, 18473, 2360, 269, 717, 1231, 1263, 568, 849, 606, 1271, 10786, 585, 519, 838, 22220, 269, 898, 2337, 547, 10038, 1973, 2095, 1369, 519, 1560, 267, 543, 621, 2337, 547, 8207, 14927, 1145, 563, 306, 921, 523, 1599, 568, 1271, 547, 1832, 519, 1560, 8647, 5265, 269, 589, 4617, 838, 22220, 666, 1291, 547, 4430, 2597, 543, 12074, 538, 16209, 269, 6153, 838, 22220, 1599, 666, 849, 2061, 18965, 10172, 543, 948, 2226, 1648, 2157, 269, 1924, 267, 621, 779, 1271, 547, 2285, 707, 838, 22220, 7899, 540, 29454, 563, 1103, 4457, 4915, 267, 3536, 602, 616, 1434, 585, 519, 838, 22220, 1331, 3536, 609, 519, 21583, 512, 4577, 838, 22220, 7117, 328, 269, 769, 1840, 267, 930, 540, 891, 3536, 666, 3636, 519, 838, 22220, 543, 2087, 1648, 2095, 2429, 519, 1560, 269, 4014, 519, 838, 22220, 568, 1419, 15763, 267, 621, 568, 606, 7533, 851, 540, 519, 4761, 1062, 543, 3844, 547, 12536, 269, 634, 838, 22220, 12086, 1973, 543, 20205, 7117, 328, 547, 519, 1964, 540, 519, 1560, 563, 763, 2732, 596, 3548, 5540, 519, 1072, 540, 1169, 1418, 538, 707, 1560, 269, 1323, 14432, 2732, 609, 9268, 3536, 666, 2014, 606, 23762, 838, 22220, 543, 2333, 519, 1981, 540, 8377, 269, 18641, 267, 596, 666, 3648, 2569, 519, 1981, 540, 3384, 891, 2175, 676, 4189, 8770, 11656, 3536, 563, 11101, 267, 4189, 3536, 3638, 538, 13058, 786, 948, 547, 7413, 6553, 543, 2566, 543, 5818, 519, 4761, 1062, 269, 2368, 1434, 2959, 540, 13058, 616, 23690, 9094, 267, 804, 4461, 267, 26029, 267, 543, 1660, 17632, 269, 16639, 1164, 538, 6171, 589, 616, 849, 6225, 585, 519, 838, 22220, 563, 306, 921, 523, 6484, 2882, 3636, 11273, 1426, 602, 6971, 519, 24913, 593, 519, 9667, 1062, 269, 21984, 610, 4411, 3536, 616, 9875, 547, 7558, 543, 2154, 811, 960, 689, 519, 590, 921, 523, 269, 1975, 1182, 616, 849, 5363, 269, 24953, 14546, 948, 519, 590, 921, 523, 7558, 1426, 811, 7561, 269, 715, 7491, 543, 5452, 849, 948, 1847, 6367, 1564, 563, 763, 838, 22220, 568, 606, 1271, 851, 540, 519, 9667, 1062, 267, 3743, 585, 519, 6981, 540, 5567, 689, 1426, 269, 4495, 2007, 6479, 267, 1426, 568, 5645, 998, 519, 838, 22220, 547, 519, 9641, 543, 2295, 267, 1141, 621, 21810, 883, 1973, 543, 7117, 328, 269, 634, 838, 22220, 849, 7472, 3043, 1973, 2281, 267, 799, 948, 6861, 4551, 543, 4914, 5536, 563, 2414, 2057, 4929, 6553, 267, 519, 838, 22220, 1058, 581, 6854, 1134, 31622, 3603, 269, 3117, 11167, 1134, 2275, 10541, 5388, 786, 1489, 519, 9667, 543, 30754, 1949, 267, 948, 609, 12536, 543, 4339, 1055, 1863, 18119, 269, 634, 838, 22220, 849, 2640, 689, 513, 2635, 2732, 602, 568, 1164, 538, 6171, 595, 269, 16639, 1164, 538, 12192, 589, 543, 667, 849, 948, 547, 7794, 519, 4761, 1062, 269, 14856, 3536, 3638, 538, 13058, 568, 849, 6225, 585, 519, 838, 22220, 563, 763, 838, 22220, 568, 513, 1507, 1418, 1336, 538, 519, 17737, 269, 4706, 2450, 9775, 1063, 2043, 267, 855, 621, 568, 3335, 1614, 547, 2947, 6279, 538, 2450, 269, 898, 568, 6870, 676, 519, 10775, 21799, 543, 568, 4092, 538, 519, 5580, 2451, 1858, 540, 519, 17737, 269, 1717, 267, 7050, 4616, 540, 4568, 666, 2014, 17350, 610, 2569, 519, 2534, 540, 6676, 7410, 267, 799, 948, 547, 8052, 1973, 269, 1280, 713, 2601, 267, 12145, 4568, 4616, 666, 948, 14867, 2589, 540, 23762, 838, 22220, 563, 2026, 513, 4105, 1418, 267, 519, 838, 22220, 568, 606, 1271, 851, 540, 519, 9667, 1062, 269, 898, 8060, 1973, 10009, 267, 3157, 5567, 267, 543, 7140, 3653, 883, 4492, 269, 898, 568, 849, 1271, 585, 519, 4761, 1062, 267, 6721, 3043, 1973, 2281, 543, 16326, 4551, 269, 1879, 519, 838, 22220, 568, 2635, 267, 621, 2337, 519, 824, 9667, 8219, 1599, 5688, 958, 563, 763, 838, 22220, 666, 849, 581, 8697, 676, 14927, 543, 943, 5586, 332, 269, 901, 666, 2014, 7050, 5855, 543, 1291, 547, 4835, 5945, 269, 898, 568, 849, 1271, 547, 2057, 1426, 602, 568, 1164, 538, 3170, 610, 4006, 269, 16639, 609, 9243, 7907, 616, 6225, 585, 519, 838, 22220, 269, 11048, 267, 1970, 19339, 610, 3170, 6954, 5144, 1058, 1152, 581, 10057, 538, 20208, 563, 763, 838, 22220, 568, 513, 4105, 1418, 540, 519, 9667, 1062, 543, 568, 4448, 547, 519, 3618, 3693, 269, 898, 568, 1271, 547, 1832, 519, 3618, 3693, 7059, 865, 602, 519, 838, 22220, 666, 960, 7561, 269, 901, 568, 3226, 1271, 952 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 1708, 278, 269, 1452, 6054, 616, 519, 23039, 29251, 602, 3391, 782, 540, 519, 10588, 779, 960, 585, 519, 4324, 540, 938, 1053, 563, 29261, 267, 649, 1616, 547, 5873, 689, 596, 281, 7490, 4945, 1934, 910, 5291, 2517, 332, 341, 342, 4732, 323, 18025, 1861, 9448, 4338, 910, 547, 2285, 3403, 998, 5988, 476, 1321, 538, 513, 5619, 269, 1284, 5431, 602, 519, 2262, 532, 540, 930, 540, 891, 2055, 1522, 3100, 513, 2370, 26101, 1317, 649, 616, 538, 513, 6855, 267, 3845, 19543, 1032, 269, 7490, 2626, 607, 4628, 607, 596, 666, 1759, 593, 519, 2833, 596, 4312, 1185, 713, 1153, 1032, 269, 1403, 596, 1131, 899, 513, 1957, 5299, 267, 5225, 1289, 519, 1153, 5604, 630, 20981, 264, 476, 276, 2918, 268, 3374, 278, 276, 454, 8923, 1413, 585, 513, 5870, 693, 707, 1153, 547, 1451, 811, 827, 519, 31446, 4338, 270, 25618, 545, 4643, 1184, 269, 3776, 1153, 11401, 616, 2630, 454, 5085, 3722, 910, 5130, 476, 2764, 628, 476, 276, 10975, 268, 277, 10975, 263, 2958, 3563, 1934, 994, 7704, 290, 910, 5130, 476, 2764, 628, 476, 277, 10975, 268, 278, 10975, 630, 2958, 3563, 1934, 994, 290, 2378, 1815, 17010, 609, 15516, 269, 744, 5988, 476, 280, 628, 476, 277, 10975, 268, 278, 10975, 630, 2958, 3563, 1934, 994, 5415, 1344, 1336, 1934, 281, 4179, 2517, 4178, 6230, 341, 9749, 323, 3820, 15828, 5115, 563, 307, 6020, 274, 7698, 17392, 585, 782, 3446, 2157, 454, 20464, 476, 2767, 267, 476, 1708, 272, 454, 268, 9977, 13186, 476, 277, 281, 876, 10975, 910, 476, 278, 281, 876, 10975, 910, 17628, 299, 23360, 263, 2958, 3563, 1934, 994, 268, 9977, 13186, 476, 278, 281, 876, 10975, 910, 476, 279, 281, 876, 10975, 910, 9501, 3198, 23360, 630, 2958, 3563, 1934, 994, 20464, 476, 2764, 267, 476, 1708, 272, 454, 21938, 476, 273, 526, 267, 476, 1708, 272, 454, 268, 4303, 258, 476, 272, 281, 570, 6020, 274, 10049, 3892, 476, 273, 281, 1789, 10975, 910, 476, 276, 10975, 454, 21938, 476, 276, 628, 267, 476, 1708, 272, 454, 268, 4303, 258, 476, 273, 281, 570, 6020, 274, 10049, 3892, 476, 273, 281, 876, 10975, 910, 476, 275, 281, 1789, 10975, 454, 21938, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 918, 268, 276, 628, 6182, 595, 2378, 1815, 17010, 609, 15516, 269, 744, 476, 277, 10975, 268, 278, 10975, 630, 2958, 3563, 1934, 994, 21938, 476, 1321, 267, 476, 1708, 272, 454, 268, 29358, 4303, 910, 7736, 540, 570, 6020, 272, 454, 21938, 476, 1428, 910, 5988, 476, 866, 267, 476, 1708, 4905, 454, 268, 654, 2562, 9898, 645, 3918, 288, 298, 910, 12971, 590, 29558, 5357, 454, 8802, 3563, 1631, 256, 9977, 13186, 281, 1215, 547, 12706, 14288, 5678, 609, 25562, 20943, 8688, 320, 454, 29919, 6881, 593, 5130, 476, 2767, 693, 476, 277, 281, 876, 10681, 454, 295, 739, 539, 676, 670, 4428, 267, 8092, 1564, 543, 8277, 21293, 966, 1173, 553, 10026, 3506, 454, 303, 6974, 518, 25562, 20943, 8688, 320, 267, 3798, 6185, 269, 786, 2911, 827, 912, 1892, 2991, 1153, 6643, 4388, 547, 946, 609, 1453, 547, 5000, 15826, 6114, 454, 1892, 11150, 547, 948, 2333, 1053, 262, 4081, 1893, 543, 6947, 1983, 454, 298, 622, 20943, 8688, 320, 267, 3798, 6185, 1421, 568, 513, 4116, 19829, 693, 5842, 12770, 3557, 2160, 543, 513, 3810, 8179, 1310, 10584, 543, 22639, 547, 1153, 13102, 2429, 519, 2136, 2276, 3823, 1646, 540, 4081, 1893, 543, 7924, 2066, 519, 918, 268, 1321, 1641, 2127, 269, 4173, 476, 1839, 4458, 3450, 4876, 1445, 814, 1044, 30015, 1453, 689, 3309, 10080, 609, 519, 2792, 267, 2542, 267, 543, 1603, 1983, 547, 581, 4876, 543, 2852, 4712, 563, 2690, 811, 1344, 267, 5225, 3643, 5291, 2517, 20142, 330, 622, 7219, 8688, 320, 2593, 270, 12671, 268, 639, 13045, 2252, 596, 723, 513, 8664, 28326, 13607, 602, 596, 2461, 711, 1210, 15042, 2483, 8923, 2132, 621, 547, 938, 2029, 8257, 693, 938, 8664, 5604, 269, 9603, 547, 2242, 538, 1367, 6381, 543, 2115, 267, 649, 991, 1169, 28326, 13607, 585, 3885, 543, 1053, 538, 991, 269, 1403, 596, 723, 513, 1875, 268, 11529, 28326, 13607, 267, 5225, 3142, 602, 1394, 607, 1134, 269, 11289, 596, 538, 4434, 2336, 289, 21392, 8625, 281, 24770, 538, 3013, 17607, 454, 20464, 568, 24770, 538, 3013, 17607, 13600, 543, 538, 519, 942, 540, 13044, 268, 866, 543, 519, 2804, 2887, 719, 267, 6158, 827, 2152, 4478, 6710, 814, 2760, 1044, 811, 1271, 269, 9293, 2339, 543, 938, 1053, 917, 811, 982, 649, 1419, 2285, 873, 5491, 585, 269, 32695, 827, 6710, 609, 3214, 568, 711, 1152, 2009, 267, 621, 781, 1271, 269, 10812, 519, 2200, 3177, 538, 713, 1102, 4919, 630, 3430, 3737, 610, 2070, 762, 693, 4179, 2517, 4178, 6230, 341, 9749, 323, 3820, 11486, 21392, 339, 6320, 300, 309, 310, 16256, 264, 547, 1265, 606, 1935, 547, 6158, 827, 6710, 602, 568, 1034, 3617, 585, 707, 2875, 4433, 1040, 11086, 267, 707, 7391, 1058, 12927, 602, 950, 621, 2501, 547, 1818, 513, 3017, 538, 519, 1158, 543, 12391, 585, 1866, 538, 938, 2146, 267, 649, 616, 1948, 289, 21392, 29310, 563, 293, 604, 628, 6103, 14268, 281, 5664, 1153, 9623, 3781, 593, 3967, 269, 476, 2764, 454, 290, 761, 339, 754, 523, 543, 24023, 1312, 786, 581, 22205, 476, 276, 628, 3446, 3885, 547, 606, 769, 5765, 476, 277, 628, 6103, 6176, 13957, 593, 13628, 267, 5130, 476, 2764, 693, 476, 276, 533, 6230, 269, 4371, 593, 28652, 269, 3962, 3135, 786, 3984, 922, 1378, 1344, 3781, 267, 543, 3237, 786, 4309, 606, 4757, 689, 741, 1053, 262, 8655, 1153, 609, 5870, 21189, 1344, 563, 1607, 568, 513, 1390, 4316, 547, 1451, 827, 938, 5664, 12140, 685, 19174, 267, 513, 4960, 547, 2743, 938, 5234, 267, 543, 1451, 827, 519, 3078, 3255, 707, 19670, 15795, 3766, 571, 1457, 786, 723, 693, 7600, 339, 754, 523, 610, 24023, 563, 8923, 3346, 7600, 339, 754, 523, 16733, 20981, 264, 476, 3445, 274, 268, 7597, 275, 276, 264, 610, 24023, 5664, 3427, 16733, 20981, 264, 476, 276, 2918, 268, 3374, 278, 271, 264, 952, 596, 723, 1022, 2055, 563, 300, 309, 9128, 5240, 281, 14044, 717, 8403, 12020, 13201, 23548, 684, 454, 24591, 519, 4266, 910, 4728, 476, 277, 267, 476, 1708, 272, 2336, 2171, 6999, 649, 1223, 581, 1927, 609, 596, 256, 16480, 267, 519, 631, 309, 9128, 7523, 320, 12233, 568, 2182, 693, 960, 4180, 602, 938, 14044, 717, 8403, 593, 4728, 476, 277, 628, 786, 581, 513, 1187, 10543, 1256, 538, 519, 22984, 540, 13044, 866, 4145, 269, 13773, 22934, 585, 3877, 2336, 763, 631, 309, 6369, 4325, 5474, 10022, 6799, 968, 26244, 2358, 14640, 2350, 626, 8866, 281, 634, 5295, 540, 2271, 30102, 22062, 725, 6168, 17813, 892, 609, 12832, 1961, 10557, 593, 13638, 267, 4924, 476, 280, 267, 476, 1708, 272, 910, 476, 278, 281, 876, 910, 476, 280, 281, 876, 10975, 1923, 14970, 6732, 454, 26244, 2358, 4550, 2350, 626, 3214, 568, 16122, 538, 2221, 779, 2486, 267, 2943, 1034, 540, 721, 616, 711, 1134, 25668, 5792, 585, 519, 2591, 540, 6158, 609, 938, 3214, 827, 5198, 543, 10168, 269, 15012, 721, 585, 606, 2502, 4901, 609, 12832, 1961, 10557, 267, 4763, 267, 9698, 267, 543, 10014, 4274, 267, 607, 1352, 8843, 1382, 827, 519, 1764, 540, 6158, 910, 610, 711, 6158, 910, 547, 938, 3214, 827, 5198, 543, 24259, 1769, 593, 1455, 9485, 325, 2176, 543, 20887, 4929, 3237, 543, 824, 15637, 547, 2057, 891, 1271, 7391, 563, 29423, 1466, 281, 14268, 267, 15637, 267, 543, 7855, 454, 8802, 3563, 281, 1677, 11578, 585, 713, 1863, 2680, 693, 4179, 2517, 332, 341, 5055, 1708, 271, 268, 2641, 268, 5371, 1961, 23932, 4318, 1203, 321, 1679, 2593, 454, 5475, 25217, 2238, 543, 3292, 630, 10175, 1863, 264, 616, 593, 769, 25440, 10214, 1282, 5046, 267, 972, 616, 1187, 543, 3872, 1310, 25217, 3292, 585, 3214, 8345, 1631, 269, 11354, 2736, 13122, 616, 4947, 909, 267, 1932, 269, 631, 309, 310, 16256, 4891, 609, 519, 1875, 17416, 769, 25440, 547, 948, 596, 1265, 519, 3501, 3514, 585, 707, 1126, 543, 585, 707, 1920, 269, 25569, 338, 540, 3292, 267, 1519, 1346, 602, 616, 17676, 543, 4389, 1942, 267, 616, 7404, 543, 2228, 543, 666, 581, 1336, 998, 713, 1863, 267, 3406, 762, 3896, 269, 6744, 856, 5291, 2517, 300, 309, 23357, 2452, 3820, 454, 2108, 30789, 519, 14134, 1325, 633, 892, 5441, 543, 19396, 3367, 1465, 14044, 7926, 281, 4924, 269, 476, 272, 5336, 541, 269, 476, 4029, 454, 17092, 4596, 292, 779, 9977, 22580, 5358, 786, 1459, 519, 968, 30789, 519, 14134, 1325, 633, 892, 5441, 543, 19396, 3367, 1465, 14044, 7926, 585, 476, 277, 628, 1107, 476, 1321, 628, 3446, 1053, 543, 741, 3237, 269, 3245, 5988, 476, 272, 547, 4728, 476, 4029, 267, 1053, 786, 581, 2111, 547, 1569, 519, 968, 30789, 519, 14134, 1325, 633, 892, 3896, 547, 7119, 538, 7317, 2238, 267, 1357, 21577, 267, 543, 811, 547, 1451, 827, 2852, 543, 4876, 3681, 563, 12041, 13185, 609, 5484, 1849, 656, 517, 593, 4924, 269, 476, 279, 454, 763, 13738, 7348, 5398, 7732, 786, 581, 16475, 513, 2661, 28652, 2911, 609, 5484, 1849, 656, 517, 267, 2278, 543, 3879, 15249, 540, 519, 23902, 3369, 531, 543, 808, 11481, 2835, 269, 634, 2680, 786, 581, 4371, 593, 11728, 267, 5988, 476, 279, 267, 689, 476, 275, 281, 876, 268, 275, 281, 1789, 10681, 269, 19193, 693, 4179, 2517, 332, 20667, 1613, 10993, 15828, 3869, 5632, 9725, 563, 300, 309, 7732, 27223, 779, 9919, 30503, 1674, 454, 763, 13738, 7348, 5398, 7732, 543, 8863, 3722, 7731, 12754, 4741, 616, 13384, 1681, 513, 1863, 27223, 779, 9919, 30503, 1674, 585, 3885, 609, 1762, 1453, 593, 11016, 267, 5988, 476, 1321, 267, 593, 28652, 269, 7490, 1294, 519, 7923, 8038, 518, 585, 3877, 543, 14261, 563, 21938, 595, 3722, 15638, 454, 31917, 1715, 5729, 256, 590, 5085, 5183, 476, 272, 595, 3722, 543, 519, 4804, 7420, 9730, 616, 707, 2516, 585, 2027, 2069, 543, 6626, 1565, 4161, 2115, 269, 1284, 616, 20231, 2348, 1565, 2591, 1318, 1631, 267, 543, 595, 3722, 543, 700, 6717, 616, 1934, 547, 948, 269, 1403, 596, 723, 2055, 827, 1565, 2591, 543, 2027, 2069, 2115, 267, 4757, 18078, 17106, 11333, 3820, 610, 2638, 856, 8940, 269, 1088, 11985, 272, 322, 659, 3820, 454, 2171, 5000, 3885, 547, 1451, 827, 519, 10444, 2115, 782, 1453, 949, 723, 1282, 3845, 1565, 281, 8347, 513, 11576, 800, 10791, 454, 21938, 476, 272, 267, 476, 280, 993, 268, 4937, 9977, 270, 26322, 20051, 609, 7981, 3798, 269, 6034, 832, 1299, 16065, 267, 28652, 693, 476, 280, 281, 876, 993, 585, 700, 6717, 543, 476, 280, 281, 1789, 993, 585, 595, 3722, 269, 1284, 786, 581, 4058, 585, 519, 1032, 267, 7234, 14232, 3292, 543, 7234, 3845, 1565, 543, 1565, 2591, 269, 1280, 938, 16786, 267, 5225, 6443, 938, 5616, 1895, 267, 4179, 2517, 25364, 269, 2998, 4355, 2593, 17320, 270, 1088, 11985, 272, 322, 659, 269, 1280, 519, 28652, 3095, 585, 713, 5870, 267, 4757, 4757, 11333, 2593, 610, 1129, 909, 593, 7926, 321, 1679, 4179, 2517, 4178, 4318, 1203, 321, 1679, 2593, 27160, 270, 2102, 1968, 2275, 659, 24578, 7566, 2389, 1157, 1115, 268, 13670, 20862, 275, 4281, 15782, 0, 16908, 540, 26006, 2142, 525, 454, 288, 9932, 13520, 568, 513, 4759, 540, 519, 12593, 7442, 529, 269, 7442, 529, 568, 519, 5824, 2262, 585, 13520, 269, 18599, 2249, 616, 6444, 2221, 269, 26006, 10987, 616, 835, 540, 519, 8938, 8536, 2010, 540, 10987, 1634, 269, 1358, 3132, 9932, 543, 2661, 538, 10125, 1500, 540, 14589, 269, 2142, 525, 616, 6854, 543, 9738, 676, 1082, 1004, 269, 634, 1353, 540, 10987, 267, 2523, 519, 9932, 13520, 267, 568, 1572, 20649, 527, 1108, 563, 295, 2292, 10987, 3100, 547, 723, 12090, 689, 14913, 5607, 269, 4107, 540, 519, 2249, 1634, 2221, 616, 1336, 972, 269, 769, 1142, 12733, 267, 972, 616, 513, 10348, 13520, 267, 11832, 10987, 267, 543, 19025, 269, 667, 14772, 616, 519, 9038, 269, 634, 10348, 13520, 23933, 519, 5798, 269, 634, 19025, 616, 1031, 585, 20282, 269, 634, 11832, 10987, 960, 547, 3132, 519, 9932, 269, 3962, 12733, 786, 723, 1152, 835, 10348, 13520, 267, 855, 15823, 547, 24239, 8536, 4600, 267, 543, 3670, 4627, 547, 835, 8536, 19025, 269, 10348, 10987, 798, 711, 19898, 609, 19025, 689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 271, 476, 280, 7830, 321, 575, 1547, 590, 4405, 566, 2783, 693, 17752, 281, 595, 6515, 29666, 476, 31318, 6515, 29666, 12387, 25553, 12387, 290, 3528, 623, 533, 586, 272, 476, 15647, 476, 274, 476, 2568, 476, 271, 476, 271, 4281, 280, 284, 3980, 501, 11019, 2340, 18568, 815, 815, 269, 1547, 321, 575, 5794, 3666, 281, 476, 1911, 12387, 272, 476, 272, 476, 1911, 476, 272, 476, 271, 476, 280, 7830, 476, 272, 476, 271, 476, 271, 4281, 280, 476, 275, 476, 14695, 272, 476, 272, 476, 272, 6629, 815, 6567, 2340, 18568, 815, 6567, 6567, 815, 344, 562, 586, 8821, 575, 536, 575, 536, 575, 321, 575, 536, 575, 269, 1547, 1547, 11192, 3727, 3666, 281, 476, 1911, 12387, 25553, 284, 1341, 2340, 18568, 815, 6567, 815, 333, 562, 562, 561, 272, 476, 273, 476, 273, 476, 1911, 476, 275, 476, 14695, 476, 4817, 279, 278, 269, 1547, 536, 575, 4939, 28198, 281, 476, 4817, 269, 9262, 12387, 25553, 27772, 476, 271, 269, 280, 7830, 476, 1911, 12387, 25553, 3049, 9943, 6398, 815, 321, 575, 476, 1911, 260, 476, 4200, 476, 278, 10065, 524, 269, 2667, 636, 6877, 281, 630, 272, 264, 14780, 14115, 779, 1876, 6585, 693, 3355, 543, 3803, 2175, 282, 630, 273, 264, 25553, 568, 519, 1152, 7873, 839, 762, 2249, 630, 7224, 1216, 7873, 5151, 5148, 630, 274, 264, 1849, 9476, 3780, 4211, 331, 1901, 344, 1258, 7447, 568, 4977, 693, 476, 9873, 9180, 269, 476, 277, 269, 1724, 570, 815, 11019, 11019, 4281, 674, 815, 476, 1839, 269, 6321, 595, 2073, 623, 8663, 815, 476, 3066, 476, 280, 269, 538, 29666, 815, 476, 4037, 280, 269, 276, 6515, 29666, 2073, 32162, 815, 476, 9262, 260, 586, 9063, 744, 273, 623, 476, 271, 269, 9262, 476, 1839, 269, 6321, 595, 284, 3980, 501, 11019, 321, 575, 630, 3738, 476, 273, 295, 744, 476, 273, 476, 271, 269, 9262, 476, 2190, 269, 4649, 280, 6515, 29666, 476, 271, 269, 271, 2764, 272, 12387, 670, 744, 12387, 2011, 476, 4037, 280, 269, 276, 6515, 29666, 586, 815, 815, 630, 3738, 630, 3738, 291, 1168, 8672, 281, 476, 271, 269, 271, 2764, 272, 476, 4037, 280, 269, 276, 476, 2641, 269, 4097, 6515, 29666, 323, 653, 570, 586, 335, 4501, 501, 815, 815, 815, 476, 2537, 269, 273, 595, 31389, 307, 815, 11019, 562, 272, 12387, 7711, 476, 6812, 269, 274, 9180, 267, 476, 272, 520, 332, 476, 1911, 12387, 7711, 476, 9873, 9180, 267, 476, 272, 520, 332, 586, 271, 630, 28485, 25553, 17635, 8358, 28485, 264, 630, 338, 520, 8910, 264, 630, 272, 3917, 271, 264, 630, 28485, 2011, 8276, 565, 264, 586, 272, 630, 28485, 25553, 17635, 8358, 28485, 264, 630, 338, 520, 8910, 264, 630, 272, 3917, 272, 264, 630, 28485, 2011, 8276, 565, 264, 562, 273, 12387, 25553, 630, 331, 264, 570, 284, 9873, 334, 290, 284, 29889, 269, 273, 918, 7305, 645, 269, 274, 7305, 645, 269, 274, 454, 1892, 476, 277, 268, 476, 277, 476, 277, 269, 1724, 630, 4186, 8910, 264, 476, 273, 476, 271, 269, 271, 2764, 272, 476, 271, 269, 271, 2764, 280, 12387, 670, 744, 12387, 3819, 2011, 476, 272, 476, 271, 269, 271, 2764, 272, 332, 554, 815, 815, 6567, 476, 273, 476, 273, 476, 273, 476, 273, 476, 271, 269, 271, 2764, 280, 12387, 670, 744, 476, 1240, 269, 6349, 575, 670, 744, 12387, 3819, 2011, 476, 271, 269, 26289, 271, 575, 670, 744, 575, 3819, 2011, 28485, 3819, 2011, 12387, 670, 744, 476, 3066, 269, 271, 575, 3819, 513, 4275, 327, 815, 815, 630, 3738, 630, 3738, 1496, 9948, 476, 271, 269, 271, 2764, 280, 1015, 271, 260, 476, 1911, 260, 476, 10436, 269, 276, 260, 476, 2190, 269, 4649, 280, 476, 4037, 280, 269, 276, 476, 2190, 269, 4649, 280, 1839, 269, 6321, 595, 476, 1839, 269, 6321, 595, 544, 533, 554, 327, 533, 623, 533, 815, 6398, 815, 6398, 815, 6567, 414, 492, 350, 25620, 353, 4501, 501, 11019, 6567, 3980, 501, 11019, 414, 492, 352, 25620, 355, 476, 277, 269, 1691, 5178, 529, 594, 2433, 476, 272, 12387, 18519, 2011, 7711, 476, 3583, 674, 630, 2641, 269, 272, 595, 1070, 476, 272, 693, 332, 267, 11019, 11019, 815, 15590, 476, 2004, 260, 554, 586, 623, 929, 670, 744, 670, 744, 2004, 260, 476, 271, 269, 2004, 476, 2641, 269, 272, 595, 273, 476, 273, 284, 2340, 18568, 815, 3980, 501, 11019, 321, 575, 586, 295, 744, 476, 273, 476, 273, 6515, 29666, 476, 31318, 269, 271, 6515, 29666, 12387, 670, 744, 12387, 815, 6398, 815, 476, 271, 476, 2004, 476, 1240, 476, 278, 4792, 476, 271, 476, 23713, 269, 1547, 1547, 7136, 540, 2011, 281, 12387, 670, 744, 476, 1240, 269, 6349, 575, 476, 272, 12387, 12387, 3819, 2011, 476, 3066, 269, 271, 575, 476, 272, 12387, 575, 273, 476, 271, 476, 23713, 476, 271, 476, 280, 6434, 476, 2764, 476, 9262, 1547, 1547, 1547, 266, 815, 11730, 540, 2011, 281, 476, 272, 12387, 476, 2420, 269, 275, 700, 5254, 303, 476, 24129, 269, 273, 476, 2641, 269, 272, 918, 476, 272, 12387, 476, 24129, 269, 273, 298, 700, 321, 575, 536, 575, 266, 815, 476, 2190, 476, 1724, 269, 25670, 540, 2011, 575, 476, 2190, 269, 1724, 700, 575, 700, 284, 815, 2764, 476, 9262, 476, 15686, 277, 269, 1547, 5178, 529, 4083, 476, 272, 12387, 18519, 2011, 7711, 476, 3583, 674, 630, 2641, 269, 272, 595, 1070, 476, 272, 693, 332, 267, 2433, 11019, 11019, 815, 15590, 476, 3199, 260, 554, 586, 623, 929, 670, 744, 670, 744, 3199, 260, 476, 271, 269, 3199, 476, 2641, 269, 272, 595, 273, 476, 273, 284, 2340, 18568, 815, 3980, 501, 11019, 321, 575, 586, 295, 744, 476, 273, 476, 273, 6515, 29666, 476, 31318, 269, 271, 6515, 29666, 12387, 670, 744, 12387, 815, 6398, 815, 476, 271, 476, 3199, 476, 1240, 476, 278, 4792, 476, 271, 476, 22903, 269, 1547, 1547, 7136, 540, 2011, 281, 12387, 670, 744, 476, 1240, 269, 6349, 575, 476, 272, 12387, 12387, 3819, 2011, 476, 3066, 269, 271, 575, 476, 272, 12387, 575, 273, 476, 271, 476, 22903, 476, 271, 476, 280, 3199, 476, 2764, 476, 4281, 1547, 1547, 1547, 266, 815, 11730, 540, 2011, 281, 476, 272, 12387, 476, 2420, 269, 275, 700, 5254, 303, 476, 24129, 269, 273, 476, 2641, 269, 272, 918, 476, 272, 12387, 476, 24129, 269, 273, 298, 700, 321, 575, 536, 575, 266, 815, 476, 2190, 476, 1724, 269, 25670, 540, 2011, 575, 476, 2190, 269, 1724, 700, 575, 700, 284, 815, 2764, 476, 4281, 476, 15686, 274, 269, 1547, 5178, 529, 8633, 281, 476, 272, 12387, 18519, 2011, 7711, 476, 3445, 674, 630, 3953, 269, 273, 595, 1070, 476, 272, 693, 332, 267, 11019, 11019, 815, 15590, 476, 3199, 260, 554, 586, 623, 929, 670, 744, 670, 744, 3199, 260, 476, 271, 269, 3199, 476, 3953, 269, 273, 595, 273, 476, 273, 284, 2340, 18568, 815, 3980, 501, 11019, 321, 575, 586, 295, 744, 476, 273, 476, 273, 6515, 29666, 476, 31318, 269, 271, 6515, 29666, 12387, 670, 744, 12387, 815, 6398, 815, 476, 271, 476, 3199, 476, 3607, 476, 6187, 279, 476, 271, 476, 271, 4343, 269, 1547, 1547, 7305, 645, 269, 274, 7305, 645, 269, 274, 7305, 645, 269, 274, 454, 1892, 476, 277, 268, 476, 278, 476, 277, 269, 1691, 630, 4186, 8910, 264, 7136, 540, 2011, 281, 12387, 670, 744, 476, 1240, 269, 6349, 575, 476, 272, 12387, 12387, 3819, 2011, 476, 3066, 269, 271, 575, 476, 272, 12387, 575, 273, 476, 271, 476, 271, 4343, 476, 271, 476, 280, 7830, 476, 2764, 476, 6812, 1547, 1547, 1547, 266, 815, 11730, 540, 2011, 281, 476, 272, 12387, 476, 2420, 269, 275, 700, 5254, 303, 476, 24129, 269, 273, 476, 3953, 269, 273, 918, 476, 272, 12387, 476, 24129, 269, 273, 298, 700, 321, 575, 536, 575, 266, 815, 476, 1839, 476, 6860, 269, 25670, 575, 476, 1839, 269, 6860, 700, 575, 700, 284, 815, 2764, 476, 6812, 476, 14625, 272, 269, 1547, 21561, 538, 2333, 538, 6175, 538, 5860, 21561, 538, 811, 1216, 630, 300, 310, 815, 476, 1240, 1070, 1447, 3819, 2011, 630, 300, 310, 815, 476, 3066, 264, 6175, 538, 544, 6175, 538, 5860, 4595, 519, 5860, 538, 3905, 267, 18519, 2011, 568, 2539, 982, 538, 16830, 267, 3819, 518, 2011, 267, 519, 26255, 3599, 3196, 593, 519, 3440, 1590, 849, 581, 2539, 269, 4475, 267, 519, 3948, 568, 4636, 269, 570, 966, 32162, 2340, 18568, 2340, 18568, 2340, 18568, 2340, 18568, 2340, 18568, 476, 277, 269, 1428, 513, 269, 554, 586, 623, 929, 670, 744, 670, 744, 2004, 260, 476, 271, 269, 2004, 476, 3445, 595, 273, 476, 273, 284, 2340, 18568, 815, 3980, 501, 11019, 321, 575, 586, 295, 744, 476, 2420, 6515, 29666, 476, 31318, 269, 271, 6515, 29666, 12387, 670, 744, 1315, 12387, 284, 6398, 815, 271, 476, 2004, 476, 30589, 476, 10602, 476, 271, 476, 31798, 269, 1547, 1547, 667, 1168, 8672, 281, 586, 533, 533, 570, 476, 271, 269, 31798, 476, 31318, 6515, 29666, 295, 744, 31185, 273, 815, 3980, 501, 815, 815, 323, 1775, 536, 575, 476, 26783, 476, 280, 269, 570, 476, 7761, 269, 278, 595, 31389, 815, 11019, 26440, 4181, 540, 8111, 17742, 815, 6567, 815, 11019, 3445, 476, 7761, 476, 278, 476, 1704, 476, 274, 269, 1547, 595, 540, 2706, 17742, 536, 269, 5178, 529, 281, 476, 272, 544, 3049, 3154, 476, 1015, 700, 476, 24129, 298, 12387, 544, 476, 3607, 274, 298, 476, 2420, 269, 275, 700, 5254, 303, 12387, 476, 274, 476, 274, 476, 274, 536, 575, 815, 476, 3451, 476, 277, 269, 590, 4405, 566, 16448, 281, 595, 12387, 670, 744, 12387, 295, 744, 476, 273, 476, 273, 344, 533, 623, 272, 476, 1839, 476, 2537, 476, 4037, 277, 476, 31318, 476, 271, 476, 31648, 274, 284, 11019, 815, 815, 2608, 1547, 1547, 536, 575, 630, 3738, 630, 3738, 272, 476, 272, 291, 787, 2011, 3666, 281, 476, 271, 269, 4792, 275, 476, 3451, 269, 277, 476, 272, 476, 271, 269, 31648, 274, 476, 2420, 269, 278, 12387, 333, 562, 284, 6567, 2340, 18568, 815, 476, 3953, 476, 273, 476, 273, 13707, 12387, 3666, 281, 476, 3451, 269, 277, 284, 2420, 269, 278, 266, 476, 1015, 269, 280, 12387, 670, 744, 7873, 1619, 8276, 333, 562, 22382, 815, 524, 269, 586, 623, 533, 623, 533, 586, 295, 744, 670, 744, 273, 476, 273, 595, 595, 264, 6515, 32074, 6515, 29666, 815, 476, 273, 269, 876, 693, 332, 284, 3980, 501, 11019, 2340, 18568, 815, 11019, 815, 815, 3445, 476, 3445, 476, 30589, 476, 10602, 476, 271, 476, 31798, 476, 13923, 271, 321, 575, 2608, 630, 1547, 1547, 7305, 645, 269, 274, 7305, 645, 269, 274, 454, 1892, 476, 277, 268, 476, 279, 476, 277, 269, 1626, 570, 815, 11019, 11019, 3445, 674, 815, 476, 3953, 269, 273, 595, 2073, 533, 815, 476, 3066, 476, 278, 269, 538, 29666, 815, 476, 4037, 275, 269, 275, 6515, 29666, 2073, 32162, 815, 476, 4817, 260, 5178, 529, 281, 476, 1015, 7523, 1216, 27772, 26553, 476, 274, 476, 273, 544, 476, 274, 544, 476, 1015, 7523, 670, 744, 476, 272, 10264, 476, 7830, 269, 6246, 18470, 476, 272, 18470, 2173, 565, 476, 275, 269, 277, 4029, 18470, 2173, 1961, 26553, 1295, 476, 278, 269, 21878, 276, 7523, 10264, 476, 1240, 269, 6349, 18470, 1718, 10234, 562, 815, 815, 476, 4817, 260, 693, 29504, 281, 476, 271, 269, 4817, 476, 3953, 269, 273, 8863, 744, 273, 327, 586, 623, 929, 815, 3980, 501, 11019, 321, 575, 586, 295, 744, 476, 2420, 6515, 29666, 476, 4037, 275, 269, 275, 6515, 29666, 18470, 910, 12387, 670, 744, 18470, 910, 12387, 284, 815, 476, 271, 476, 4817, 476, 3607, 476, 6187, 279, 476, 271, 476, 271, 3393, 1547, 1547, 1547, 536, 575, 630, 3738, 265, 273, 476, 273, 476, 273, 476, 277, 269, 28638, 26244, 14115, 781, 1876, 281, 476, 275, 269, 275, 595, 476, 271, 269, 25484, 1704, 18470, 2173, 565, 670, 744, 18470, 2173, 565, 476, 4037, 275, 269, 275, 586, 623, 533, 586, 284, 11019, 815, 815, 476, 272, 476, 273, 476, 272, 476, 272, 476, 273, 476, 273, 631, 1961, 3666, 2433, 476, 275, 269, 277, 4029, 476, 14862, 269, 278, 18470, 2173, 3421, 26553, 4826, 3666, 2433, 476, 271, 269, 271, 3393, 476, 271, 269, 25484, 1704, 476, 275, 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 ]
[ 513, 6404, 4346, 267, 2155, 773, 729, 513, 21340, 4346, 267, 543, 17502, 807, 729, 513, 24180, 4346, 780, 3080, 1554, 267, 519, 2828, 4956, 547, 979, 593, 606, 7045, 547, 1265, 856, 811, 827, 1142, 824, 781, 11615, 269, 3689, 267, 789, 10272, 6154, 5984, 781, 4104, 267, 799, 729, 2407, 540, 2831, 543, 2371, 269, 834, 1103, 1250, 4104, 267, 1169, 3662, 543, 2030, 666, 798, 8726, 789, 1616, 2437, 1767, 6154, 5984, 269, 834, 2252, 606, 1884, 6499, 547, 5531, 1426, 585, 3294, 267, 621, 666, 256, 1403, 513, 3529, 6499, 547, 1332, 7381, 543, 2178, 267, 621, 666, 10590, 2701, 6045, 875, 1200, 4104, 4278, 1882, 1317, 540, 922, 5191, 267, 3850, 782, 7068, 547, 14526, 543, 11441, 585, 1967, 269, 1809, 1352, 849, 17019, 602, 3006, 267, 1510, 1022, 3652, 267, 930, 2831, 1522, 1205, 10413, 610, 3144, 5413, 540, 780, 9202, 267, 789, 4682, 547, 595, 7026, 781, 7823, 267, 1141, 1152, 1346, 945, 1223, 18214, 1164, 2614, 1131, 3914, 519, 1283, 269, 834, 2080, 267, 1346, 945, 1378, 519, 2645, 543, 3937, 666, 9553, 519, 1034, 3407, 21889, 2437, 1630, 16556, 595, 7026, 269, 1261, 4951, 1010, 2828, 875, 646, 21775, 891, 10475, 10007, 585, 824, 2200, 899, 3574, 267, 1216, 267, 543, 1426, 269, 2755, 595, 7026, 781, 7823, 3177, 5763, 585, 1346, 693, 519, 1283, 267, 1866, 17388, 547, 1832, 909, 610, 1256, 6443, 1864, 269, 2368, 2831, 4769, 1405, 723, 519, 4222, 610, 1983, 547, 18214, 519, 7823, 267, 865, 789, 7948, 1405, 4324, 689, 519, 13284, 1127, 1657, 780, 10190, 267, 789, 8452, 693, 17186, 773, 781, 803, 20760, 267, 513, 1747, 1141, 1312, 3552, 25154, 543, 7031, 8057, 2427, 676, 2427, 269, 3371, 267, 17186, 773, 6045, 602, 1247, 1082, 5810, 1223, 16036, 11884, 267, 1978, 2127, 941, 11603, 585, 8105, 269, 901, 1259, 267, 6705, 22157, 519, 4610, 267, 4180, 15792, 1426, 7727, 585, 2933, 543, 12543, 269, 769, 2132, 267, 519, 3552, 25154, 4797, 3395, 6923, 267, 3246, 5898, 543, 14947, 2556, 585, 9932, 32048, 269, 6884, 267, 1498, 267, 1932, 1454, 1852, 3366, 547, 7864, 5079, 610, 1447, 5647, 780, 306, 19488, 267, 519, 6607, 5828, 4158, 267, 543, 19711, 678, 14217, 2066, 519, 3338, 269, 15526, 10443, 2509, 2155, 773, 781, 13946, 267, 5275, 12062, 689, 519, 7088, 269, 18738, 267, 2155, 773, 3838, 875, 1200, 2146, 7535, 539, 782, 741, 2200, 543, 3576, 1416, 540, 1142, 1268, 8449, 269, 5253, 729, 7856, 9425, 282, 1100, 835, 2479, 5433, 17237, 610, 4411, 269, 19759, 569, 267, 1282, 519, 7088, 267, 519, 13675, 25540, 267, 29212, 873, 3330, 269, 2060, 3908, 1569, 547, 3544, 948, 267, 519, 1895, 7691, 602, 13461, 9003, 593, 9316, 7012, 1405, 4264, 950, 5185, 609, 6397, 2591, 780, 7661, 267, 1310, 2395, 540, 7996, 267, 11324, 340, 619, 25653, 873, 856, 269, 1306, 789, 7153, 883, 519, 7943, 267, 17502, 807, 6700, 9683, 1200, 2749, 267, 3710, 1472, 4687, 543, 5698, 269, 1703, 267, 1004, 22121, 2093, 267, 15421, 267, 543, 1702, 3079, 540, 2168, 3688, 269, 9282, 7620, 26997, 1813, 547, 2250, 14286, 267, 519, 2185, 2828, 8815, 547, 2285, 621, 1776, 2119, 269, 2991, 2324, 29367, 7258, 17502, 807, 267, 789, 4362, 1007, 2081, 547, 3666, 741, 2189, 9342, 267, 2870, 10103, 1063, 7115, 543, 22524, 11163, 269, 8625, 267, 789, 4121, 602, 1620, 543, 8508, 1585, 5380, 1500, 873, 6793, 982, 2479, 1354, 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, 29205, 596, 2491, 519, 1114, 3631, 540, 2804, 2344, 1949, 543, 741, 5383, 543, 11393, 888, 8133, 267, 1934, 616, 2947, 1455, 2804, 2344, 1949, 281, 8528, 272, 269, 5131, 10369, 19004, 910, 589, 1863, 2344, 4346, 568, 513, 1062, 602, 12346, 593, 2804, 6735, 543, 519, 3902, 7271, 547, 21138, 2200, 269, 634, 1292, 5413, 540, 513, 1863, 2344, 4346, 568, 602, 621, 2488, 2043, 609, 15314, 547, 960, 2182, 543, 3048, 622, 269, 1717, 267, 835, 540, 519, 1292, 11393, 568, 602, 621, 949, 711, 2272, 585, 2942, 5007, 885, 267, 971, 607, 5533, 610, 8635, 780, 273, 269, 13317, 626, 19004, 910, 589, 24041, 4346, 568, 6353, 676, 4357, 9562, 540, 519, 1797, 540, 2504, 543, 519, 5137, 540, 5370, 543, 2533, 585, 7443, 269, 634, 1292, 5413, 540, 513, 24041, 1062, 568, 602, 621, 11363, 519, 2956, 540, 1367, 3903, 543, 666, 1291, 547, 2804, 2208, 269, 1717, 267, 519, 17498, 728, 568, 602, 621, 666, 1291, 547, 4747, 8635, 543, 30049, 625, 780, 274, 269, 24908, 19004, 910, 589, 6404, 4346, 568, 513, 1062, 602, 10905, 2609, 540, 513, 1863, 9232, 692, 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, 3848, 476, 278, 281, 23632, 16684, 338, 543, 23632, 19369, 10049, 692, 296, 269, 4985, 692, 1103, 519, 3656, 2361, 267, 4693, 5618, 338, 543, 4693, 7041, 2326, 4196, 607, 1898, 2645, 585, 27192, 607, 789, 5965, 585, 5480, 3336, 12959, 269, 1452, 6054, 1683, 513, 31387, 585, 9306, 513, 17396, 543, 10388, 2013, 267, 4180, 602, 782, 4143, 5013, 267, 4031, 267, 543, 7440, 616, 4843, 3927, 269, 1306, 596, 5490, 883, 713, 3184, 267, 4952, 3054, 7555, 1354, 513, 9794, 543, 21139, 267, 26405, 547, 12167, 585, 707, 7817, 781, 2924, 1210, 891, 3532, 2854, 2200, 269, 1635, 13215, 519, 1148, 540, 13167, 8903, 4693, 5618, 338, 543, 8600, 9488, 4693, 7041, 2326, 267, 596, 786, 1831, 513, 23773, 3196, 538, 1022, 5480, 3336, 4259, 780, 2862, 269, 634, 22845, 540, 513, 23632, 16684, 692, 288, 4693, 5618, 568, 513, 3561, 24152, 519, 1292, 2798, 540, 4661, 538, 513, 2016, 2013, 269, 898, 2488, 513, 2312, 2497, 585, 12180, 543, 9306, 2963, 267, 7175, 27192, 547, 1118, 13801, 543, 20310, 7440, 1282, 8062, 269, 6206, 3334, 540, 513, 4693, 5618, 3335, 1331, 1384, 265, 589, 3349, 540, 9115, 267, 3850, 3988, 547, 3533, 6330, 998, 519, 1585, 6810, 3248, 265, 589, 3948, 540, 519, 2013, 4282, 267, 13713, 28388, 519, 6105, 3238, 267, 741, 9757, 7158, 267, 543, 519, 10858, 1876, 3248, 265, 17136, 6898, 267, 5693, 13994, 6819, 519, 2055, 693, 1688, 3248, 265, 21261, 894, 6810, 267, 1141, 27192, 1459, 741, 7664, 540, 519, 5013, 267, 4019, 4143, 4031, 267, 543, 2709, 5885, 9551, 757, 282, 543, 454, 265, 1230, 7501, 267, 973, 6260, 519, 3119, 7440, 1500, 2429, 519, 5618, 780, 7656, 269, 30633, 532, 29480, 14803, 3701, 692, 2691, 26004, 513, 4693, 5618, 267, 621, 568, 2629, 547, 9772, 513, 10388, 3159, 1247, 20170, 14553, 547, 23610, 1344, 269, 27017, 7958, 1058, 2057, 23019, 1893, 543, 3079, 1445, 593, 11744, 875, 519, 2139, 2963, 7028, 741, 7817, 781, 2990, 269, 1677, 3035, 5021, 1764, 267, 2015, 6220, 519, 1739, 2994, 1384, 265, 10670, 676, 7114, 519, 1034, 8903, 2963, 267, 1287, 1628, 519, 14230, 540, 519, 4661, 1472, 1346, 2565, 4773, 3248, 265, 10558, 15852, 16752, 9425, 2943, 9691, 267, 5466, 1761, 12755, 538, 4831, 1173, 3701, 543, 1201, 5024, 873, 609, 4396, 7744, 282, 543, 454, 265, 22982, 9423, 2553, 267, 13321, 3819, 5013, 883, 2502, 6386, 602, 13469, 14156, 609, 16488, 543, 795, 3753, 7567, 780, 4353, 269, 30855, 5303, 538, 23632, 19369, 10049, 692, 20007, 1670, 7760, 723, 19117, 2413, 25036, 2853, 267, 5356, 1007, 18817, 585, 2870, 6422, 543, 7317, 4693, 6881, 2326, 269, 6201, 540, 971, 2645, 1331, 3059, 28868, 267, 3381, 24056, 267, 27515, 267, 543, 5691, 15225, 1765, 718, 2966, 547, 3986, 8223, 543, 6278, 1851, 29632, 832, 269, 1879, 10128, 2029, 883, 4693, 7041, 2326, 267, 1832, 519, 1739, 1655, 2853, 538, 2247, 1384, 265, 4530, 17356, 2066, 2789, 5867, 630, 324, 3052, 1421, 24195, 267, 14342, 267, 1788, 832, 264, 547, 2327, 15774, 6765, 3248, 265, 22217, 1518, 1950, 2093, 1210, 3308, 11226, 267, 8840, 1524, 6946, 2035, 883, 3362, 7558, 1043, 12415, 282, 543, 454, 265, 6333, 10333, 2115, 267, 3246, 4244, 12043, 950, 2556, 547, 13918, 2043, 609, 9124, 780, 309, 269, 10765, 3763, 906, 538, 23632, 19809, 12229, 692, 763, 2479, 21608, 5251, 540, 4693, 6881, 3301, 3091, 3875, 2640, 585, 27192, 5275, 5499, 2081, 547, 6655, 741, 5048, 269, 1280, 3236, 267, 930, 3156, 1631, 4183, 5841, 4987, 7207, 602, 666, 5659, 5318, 9424, 540, 1239, 267, 2697, 3270, 267, 543, 5352, 16419, 5359, 1759, 593, 1808, 7355, 269, 5047, 267, 6531, 2861, 3435, 5512, 6552, 5698, 1063, 2319, 2818, 267, 6908, 23164, 2792, 9055, 543, 7393, 2949, 4398, 269, 13773, 32448, 540, 6932, 3466, 538, 4693, 6881, 2029, 547, 2226, 513, 8013, 6316, 538, 2221, 781, 6385, 4657, 3656, 1604, 780, 9654, 269, 15979, 538, 23632, 19369, 10049, 692, 7661, 267, 3314, 602, 5683, 4808, 1827, 1169, 2460, 540, 4693, 7041, 2326, 267, 1519, 741, 5137, 267, 23425, 267, 543, 4859, 269, 11408, 11441, 547, 27481, 3318, 4441, 676, 8308, 8204, 2963, 267, 18245, 22637, 11650, 267, 543, 9319, 22801, 610, 632, 21082, 12485, 269, 1635, 4509, 1085, 14442, 592, 748, 19969, 543, 8699, 2429, 519, 4693, 1184, 267, 596, 786, 6536, 3972, 1851, 9164, 267, 10779, 2456, 267, 543, 16324, 10492, 7567, 1765, 738, 2954, 29103, 1359, 707, 10639, 607, 513, 9952, 543, 2379, 4184, 539, 3656, 19995, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 3134, 889, 10789, 540, 533, 6973, 10455, 1231, 616, 711, 883, 12190, 4919, 1184, 1369, 2338, 610, 2152, 269, 10026, 5948, 585, 623, 1910, 32676, 545, 5525, 263, 30684, 306, 264, 4750, 4358, 602, 1719, 540, 9589, 1412, 2985, 1412, 11925, 540, 16481, 690, 12578, 670, 5141, 609, 5434, 7218, 4647, 269, 7294, 1883, 540, 8400, 538, 513, 1082, 610, 6111, 3797, 3568, 2907, 2196, 12537, 1256, 547, 922, 19750, 1106, 267, 11117, 4598, 267, 476, 2568, 263, 1321, 2567, 4572, 274, 268, 1789, 1494, 1890, 540, 12700, 267, 543, 5458, 3791, 14104, 2360, 269, 769, 519, 11628, 1036, 6036, 267, 3134, 889, 10789, 16881, 849, 6854, 607, 513, 3760, 635, 539, 1014, 1895, 267, 585, 5395, 636, 15033, 5010, 13366, 267, 610, 7929, 11116, 563, 21080, 21694, 543, 29520, 263, 595, 298, 268, 1321, 264, 910, 30216, 3134, 889, 267, 4082, 267, 543, 589, 18769, 545, 25688, 267, 15752, 267, 543, 6808, 1299, 593, 875, 476, 25834, 11386, 543, 2347, 900, 8412, 1689, 1281, 29043, 3409, 269, 5935, 519, 5794, 263, 17546, 7177, 264, 910, 901, 6142, 568, 4238, 606, 1382, 547, 581, 607, 2200, 547, 2087, 2303, 633, 12611, 689, 519, 3310, 269, 3610, 1590, 7816, 513, 3134, 889, 1510, 3056, 811, 982, 476, 2004, 4704, 540, 519, 970, 324, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 7434, 16684, 338, 543, 23632, 19369, 10049, 257, 607, 851, 540, 834, 30311, 1315, 13751, 5675, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9761, 7408, 267, 16501, 1299, 667, 11190, 267, 19122, 689, 4411, 818, 8157, 7297, 543, 1360, 1970, 538, 2825, 14107, 563, 277, 269, 31453, 1308, 8830, 640, 269, 476, 5952, 268, 6434, 260, 6986, 269, 2353, 1634, 14107, 616, 4389, 2630, 3713, 762, 2157, 454, 278, 269, 4400, 569, 13671, 269, 5221, 621, 568, 3810, 13671, 267, 713, 24024, 519, 1297, 540, 15074, 11503, 596, 723, 547, 1491, 593, 513, 3232, 4493, 538, 1931, 547, 1205, 519, 5021, 4324, 563, 279, 269, 4400, 16501, 547, 667, 11190, 22472, 269, 898, 814, 1044, 23963, 5462, 602, 519, 16501, 547, 667, 11190, 5223, 1058, 581, 693, 2547, 476, 274, 268, 275, 547, 476, 272, 267, 799, 568, 1018, 568, 8659, 538, 12736, 25537, 1122, 268, 274, 563, 280, 269, 8899, 5666, 540, 26102, 476, 277, 269, 26102, 476, 277, 568, 513, 2877, 543, 2556, 12146, 538, 3339, 11326, 269, 1717, 267, 519, 2179, 1058, 581, 1360, 1507, 3379, 547, 26102, 476, 274, 267, 799, 568, 4010, 875, 519, 12736, 25537, 1122, 476, 274, 1587, 568, 19775, 563, 1015, 269, 17449, 5940, 20746, 269, 634, 1655, 15060, 476, 274, 2472, 616, 782, 9268, 896, 7636, 1253, 20746, 267, 799, 568, 875, 12736, 25537, 1122, 268, 274, 568, 3812, 563, 1556, 269, 31453, 1308, 18610, 1145, 269, 3143, 3165, 344, 9329, 950, 596, 1930, 519, 11480, 267, 610, 3165, 344, 1310, 339, 4292, 630, 7224, 968, 8127, 3276, 1186, 14615, 1317, 519, 12736, 25537, 1122, 476, 274, 1587, 568, 27488, 5131, 630, 20357, 540, 513, 2027, 1184, 13296, 519, 1587, 568, 20206, 4327, 896, 21193, 4088, 1040, 7621, 573, 1242, 3165, 3282, 1058, 711, 581, 28041, 1813, 547, 678, 4545, 7190, 267, 27253, 720, 543, 2530, 540, 1494, 1890, 269, 12192, 661, 568, 3773, 547, 938, 12736, 25537, 1122, 268, 274, 607, 606, 15934, 547, 2327, 4195, 1145, 563, 1321, 269, 932, 7995, 5131, 267, 17832, 22318, 728, 5131, 1299, 590, 18260, 15310, 5131, 269, 4033, 4122, 1336, 15060, 476, 274, 2472, 2270, 782, 1614, 540, 891, 5739, 2609, 543, 616, 9090, 711, 5227, 585, 1480, 4616, 563, 304, 269, 1215, 1281, 12736, 25537, 1122, 476, 274, 5635, 547, 824, 2472, 602, 594, 666, 1205, 693, 1250, 2199, 2706, 21466, 267, 1072, 1426, 4558, 267, 3092, 269, 888, 288, 269, 22702, 547, 824, 26102, 476, 274, 2472, 593, 519, 2344, 938, 1587, 568, 693, 2547, 476, 6434, 260, 630, 528, 811, 264, 6986, 269, 634, 5354, 540, 824, 2472, 2039, 689, 476, 1839, 260, 547, 476, 7830, 260, 6986, 269, 769, 938, 26102, 476, 274, 596, 1205, 26102, 476, 274, 543, 12192, 661, 585, 922, 15934, 3601, 799, 2337, 1832, 938, 1587, 678, 4545, 573, 1863, 269, 1548, 596, 1810, 1406, 1205, 538, 938, 12736, 25537, 1122, 476, 274, 543, 596, 786, 1205, 538, 1034, 824, 2472, 568, 912, 274, 269, 24581, 8407, 454, 278, 269, 590, 18260, 9600, 454, 279, 269, 3690, 9600, 454, 1015, 269, 14464, 10366, 267, 4778, 267, 6653, 22211, 454, 1556, 269, 2667, 9285, 968, 3240, 20712, 892, 6445, 619, 454, 1321, 269, 589, 2178, 267, 678, 4545, 573, 12444, 1242, 3165, 344, 17627, 543, 6492, 630, 8127, 3276, 1186, 994, 268, 589, 1032, 540, 23602, 630, 663, 17485, 619, 264, 2022, 268, 262, 22013, 1853, 532, 24488, 7055, 268, 674, 8463, 281, 589, 7678, 532, 1426, 2856, 543, 1007, 20281, 538, 15325, 2257, 454, 268, 670, 4669, 1635, 634, 23213, 16567, 4425, 558, 267, 634, 17926, 16754, 12752, 1772, 5695, 940, 1677, 25595, 6840, 454, 2710, 1411, 26419, 10261, 26929, 531, 26102, 476, 274, 286, 723, 476, 28766, 276, 1913, 267, 2022, 593, 552, 345, 710, 14895, 2593, 693, 5239, 476, 1704, 267, 476, 1220, 279, 269, 901, 568, 524, 3737, 2985, 593, 2342, 27915, 5240, 269, 1403, 596, 1616, 4894, 713, 2985, 267, 5225, 3346, 721, 269, 0, 8002, 514, 16239, 328, 630, 2001, 1922, 514, 2740, 24991, 264, 3436, 661, 10967, 322, 7559, 8276, 4593, 454, 3890, 3436, 6997, 5090, 2801, 454, 292, 22029, 281, 7581, 10364, 639, 281, 5259, 267, 737, 548, 696, 1731, 657, 267, 910, 517, 815, 1644, 547, 555, 773, 1407, 630, 8269, 269, 476, 28526, 3374, 5148, 19052, 639, 281, 715, 3139, 585, 922, 1634, 3892, 563, 5319, 1444, 281, 2113, 24586, 1315, 2916, 7997, 1315, 3178, 2039, 1315, 3892, 2039, 454, 11321, 710, 282, 1629, 619, 531, 269, 16265, 7211, 454, 301, 677, 8603, 9533, 281, 3345, 5032, 540, 590, 7776, 8751, 2946, 563, 23917, 1315, 13379, 1315, 6520, 454, 300, 4405, 640, 281, 700, 332, 1109, 286, 1109, 2039, 7790, 910, 7790, 4699, 454, 16908, 4783, 543, 20282, 2623, 454, 300, 4405, 640, 1923, 3115, 3174, 1923, 1975, 27681, 1923, 28096, 1923, 674, 1815, 1495, 640, 1923, 30038, 15611, 454, 302, 341, 760, 541, 748, 267, 3982, 30010, 1282, 9960, 630, 8269, 269, 476, 13078, 1916, 3891, 16014, 267, 808, 11065, 1421, 681, 11482, 269, 631, 2227, 543, 667, 10611, 269, 21662, 517, 267, 476, 1220, 271, 269, 5565, 1007, 2249, 540, 1212, 1961, 530, 6652, 572, 630, 24248, 5090, 2801, 281, 7581, 10364, 639, 264, 689, 6587, 5011, 540, 519, 9533, 269, 6864, 320, 267, 808, 269, 594, 577, 20321, 565, 269, 13985, 520, 269, 22776, 269, 476, 275, 263, 273, 2567, 6858, 268, 10602, 269, 630, 8269, 269, 476, 279, 1015, 2767, 994, 296, 30002, 4414, 5903, 21073, 630, 8269, 269, 476, 11277, 25172, 994, 290, 3951, 2464, 630, 8269, 269, 476, 11277, 275, 1626, 994, 1320, 805, 547, 3425, 454, 27066, 288, 638, 20628, 288, 638, 20628, 9043, 1805, 23230, 7049, 7497, 2704, 548, 548, 12451, 15463, 527, 1464, 291, 1047, 1162, 3682, 22422, 22709, 7503, 454, 15307, 23660, 1759, 593, 3631, 454, 303, 17222, 21925, 4763, 4994, 630, 8269, 269, 476, 279, 2764, 4962, 454, 284, 476, 271, 269, 27698, 271, 1496, 4462, 21348, 267, 689, 476, 271, 269, 276, 815, 1970, 547, 476, 273, 269, 271, 815, 1164, 14073, 29074, 14198, 3259, 27954, 281, 513, 284, 271, 269, 27947, 4649, 630, 271, 269, 21916, 6812, 910, 476, 271, 269, 25171, 11152, 1070, 536, 284, 274, 269, 5881, 630, 273, 269, 8660, 910, 476, 274, 269, 1839, 1070, 538, 4699, 2698, 3259, 267, 1759, 593, 700, 29949, 9193, 585, 713, 630, 8138, 264, 26967, 23073, 3337, 630, 8269, 269, 476, 280, 3953, 3393, 454, 307, 13116, 1377, 630, 8269, 269, 476, 7597, 273, 4281, 454, 2567, 476, 274, 269, 276, 13008, 271, 269, 275, 694, 282, 1759, 593, 2450, 543, 512, 5268, 338, 540, 14191, 14077, 454, 4910, 559, 1466, 630, 8269, 269, 476, 6344, 9692, 454, 2567, 23839, 267, 5934, 2551, 30945, 942, 476, 272, 269, 275, 910, 476, 275, 269, 275, 1296, 630, 7093, 14083, 918, 610, 674, 1815, 1495, 640, 28593, 309, 592, 1676, 1464, 630, 8269, 269, 476, 6795, 272, 7871, 454, 2567, 3525, 4733, 13438, 630, 5655, 540, 476, 1911, 264, 1547, 0, 1692, 798, 596, 2328, 513, 2110, 3332, 2689, 888, 8196, 606, 4367, 267, 1560, 5037, 4433, 1070, 543, 513, 3932, 269, 3417, 5758, 267, 2079, 267, 10282, 267, 543, 6268, 630, 604, 3617, 1040, 22175, 2689, 949, 581, 607, 2110, 607, 513, 1906, 9433, 610, 607, 1279, 607, 513, 3184, 269, 634, 1739, 616, 5618, 11673, 540, 2553, 602, 596, 1522, 946, 538, 707, 3332, 2689, 563, 1432, 568, 3332, 2689, 543, 1383, 888, 288, 3332, 2689, 568, 513, 5619, 540, 14046, 2959, 602, 2488, 606, 7650, 540, 513, 1880, 1888, 269, 898, 3622, 5205, 513, 4901, 540, 519, 1957, 779, 5098, 3948, 610, 519, 1353, 779, 3853, 610, 3483, 269, 2608, 1607, 3732, 1957, 729, 9862, 676, 519, 5675, 4741, 689, 6206, 267, 918, 11482, 1421, 6762, 267, 595, 1421, 1546, 290, 2077, 1993, 16619, 267, 595, 1421, 19811, 267, 590, 269, 630, 1001, 271, 1916, 1692, 798, 596, 2328, 513, 1434, 3332, 2689, 888, 2467, 616, 2947, 1292, 3268, 538, 519, 1184, 540, 1603, 513, 3332, 2689, 912, 268, 9612, 585, 4143, 3332, 563, 268, 21414, 2959, 563, 268, 10576, 4798, 267, 9840, 543, 10616, 563, 268, 20895, 519, 2497, 563, 268, 3503, 707, 3332, 2689, 563, 1432, 568, 513, 9910, 3332, 2689, 888, 22102, 4149, 7051, 9085, 5623, 12143, 269, 9540, 4149, 7051, 9085, 5623, 12143, 269, 589, 3332, 2689, 568, 513, 10855, 5758, 540, 1382, 593, 513, 1888, 602, 814, 5892, 1044, 6594, 269, 634, 3483, 540, 513, 3332, 2689, 568, 547, 1217, 3988, 540, 519, 1713, 1702, 543, 2093, 602, 723, 1044, 3964, 593, 513, 1888, 563, 1432, 1590, 513, 3332, 2689, 2270, 888, 9617, 899, 1034, 4081, 4574, 267, 3332, 8039, 849, 1590, 2270, 693, 2547, 1614, 2596, 2609, 281, 606, 4367, 610, 4282, 1344, 3296, 282, 519, 1560, 540, 519, 2689, 5627, 519, 4901, 540, 2959, 282, 543, 267, 6368, 267, 513, 3932, 543, 5924, 7840, 3296, 547, 1439, 519, 1957, 563, 1692, 1082, 2959, 1058, 513, 3332, 2689, 723, 888, 2252, 707, 3332, 2689, 568, 513, 1796, 17038, 821, 3561, 454, 7078, 281, 589, 1796, 17038, 821, 3332, 2689, 602, 814, 476, 1015, 3817, 540, 1543, 630, 1492, 1560, 540, 519, 1957, 264, 1058, 4983, 693, 2547, 476, 1789, 2959, 563, 1432, 568, 513, 3332, 2689, 10959, 888, 288, 5339, 2689, 10959, 568, 513, 1826, 540, 2854, 960, 602, 11828, 3370, 1344, 827, 513, 1808, 1641, 2339, 269, 634, 3259, 540, 519, 2689, 3085, 1406, 2339, 269, 1323, 7291, 585, 3332, 2689, 666, 849, 6218, 891, 2959, 543, 18973, 547, 519, 3988, 3823, 1018, 779, 4143, 4470, 593, 1978, 2175, 563, 1432, 616, 519, 2010, 540, 3332, 2689, 888, 7021, 519, 1296, 267, 3875, 2010, 540, 3332, 8039, 723, 7153, 267, 855, 519, 2185, 1292, 2010, 616, 2757, 610, 2239, 267, 9836, 267, 13849, 20400, 543, 13849, 1606, 11853, 269, 29770, 4501, 492, 634, 3119, 3483, 540, 513, 2757, 610, 2239, 3332, 2689, 568, 547, 16562, 268, 11430, 572, 543, 9034, 1047, 513, 1560, 540, 3332, 563, 1432, 568, 606, 1383, 540, 3332, 888, 24145, 1155, 568, 3989, 607, 2835, 543, 824, 2854, 1568, 267, 2523, 1346, 2808, 547, 723, 3860, 610, 7499, 20519, 610, 9434, 1871, 269, 7734, 2854, 676, 8176, 28726, 616, 606, 1383, 540, 3332, 269, 7734, 2854, 593, 513, 3621, 1641, 616, 1806, 540, 3621, 3332, 269, 634, 1560, 540, 782, 2854, 1568, 563, 1432, 2306, 513, 4057, 3332, 2689, 888, 288, 18648, 9085, 5623, 986, 3387, 956, 689, 1888, 547, 1888, 1510, 513, 2312, 1445, 269, 589, 18648, 9085, 5623, 3274, 26564, 1382, 4681, 1510, 2565, 6268, 269, 589, 6153, 9085, 5623, 3096, 10530, 267, 12383, 267, 11708, 267, 543, 5924, 7515, 547, 1459, 543, 17854, 519, 2565, 2079, 540, 519, 3332, 563, 1692, 798, 596, 2328, 606, 4367, 585, 513, 3332, 2689, 888, 763, 3332, 12649, 538, 519, 4367, 1058, 912, 268, 29130, 519, 1888, 563, 268, 19372, 519, 4644, 540, 519, 1353, 563, 268, 3629, 606, 7650, 540, 519, 4143, 3332, 563, 268, 19372, 513, 2796, 585, 519, 1353, 1210, 519, 3332, 563, 268, 10576, 1702, 10616, 563, 268, 16503, 3433, 875, 519, 1353, 786, 4434, 1702, 593, 519, 1888, 563, 273, 18194, 4709, 9326, 21660, 13194, 3522, 9686, 454, 1432, 2055, 1058, 581, 12943, 538, 513, 3332, 2689, 888, 16485, 3054, 2055, 899, 891, 912, 268, 1548, 568, 519, 1808, 5098, 267, 1966, 267, 610, 1382, 2243, 602, 1250, 3332, 2689, 2337, 547, 5581, 888, 268, 1548, 1826, 540, 3332, 2689, 993, 594, 10647, 888, 268, 1548, 568, 519, 9165, 540, 1250, 3332, 2689, 888, 268, 1215, 1434, 729, 1250, 1344, 5275, 888, 268, 5620, 594, 9691, 21845, 519, 3332, 594, 946, 888, 1432, 616, 519, 10616, 538, 519, 3332, 888, 763, 7934, 267, 849, 2808, 519, 7508, 4062, 610, 4773, 538, 519, 1382, 3332, 267, 568, 519, 1858, 602, 814, 711, 2943, 1044, 8268, 610, 568, 896, 7721, 680, 1819, 269, 901, 1223, 581, 513, 2551, 610, 3732, 630, 21653, 267, 1826, 267, 4087, 267, 3092, 13776, 1382, 1505, 267, 1239, 4015, 543, 5924, 2079, 267, 610, 824, 1382, 4632, 610, 2175, 269, 476, 275, 18194, 4709, 9326, 21660, 13194, 3522, 9686, 454, 1692, 798, 596, 2328, 513, 3332, 2689, 7291, 888, 24145, 1155, 5623, 20895, 454, 268, 5581, 707, 1888, 543, 1683, 606, 3617, 2796, 585, 17265, 519, 3332, 3248, 268, 3715, 707, 4128, 1107, 1775, 4318, 269, 1448, 540, 2070, 1107, 585, 563, 268, 17265, 519, 3332, 3248, 268, 2491, 519, 3919, 1107, 1775, 4318, 269, 5311, 1107, 540, 519, 2689, 3248, 268, 1533, 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 ]
[ 267, 519, 22662, 262, 7088, 6603, 19996, 8515, 936, 519, 21979, 262, 9456, 15840, 24252, 269, 1733, 880, 339, 1631, 543, 552, 626, 15073, 558, 269, 2201, 5181, 476, 280, 1700, 1015, 267, 519, 22699, 262, 7088, 1500, 922, 3134, 11345, 1780, 540, 519, 8419, 32368, 267, 1780, 514, 262, 936, 519, 21979, 262, 16959, 32202, 1872, 553, 609, 606, 8515, 6697, 547, 602, 540, 606, 21979, 262, 2413, 6377, 21145, 476, 275, 19996, 269, 17547, 519, 8279, 256, 3683, 519, 22662, 262, 1985, 1896, 2395, 267, 519, 22662, 262, 7920, 7814, 821, 21986, 539, 519, 22699, 262, 13323, 540, 6792, 267, 11385, 11294, 262, 538, 4222, 1354, 544, 752, 514, 262, 2244, 6420, 2282, 7147, 262, 645, 3530, 514, 7345, 593, 5181, 476, 1691, 607, 513, 22699, 262, 1804, 21145, 476, 274, 19996, 269, 1306, 621, 27424, 2417, 24654, 267, 2244, 5872, 3361, 519, 7088, 547, 7930, 14020, 282, 519, 22662, 262, 7088, 729, 2063, 7074, 593, 5181, 476, 1626, 936, 4639, 7147, 563, 17780, 593, 9678, 7422, 7532, 540, 519, 22699, 262, 10815, 518, 4165, 14792, 593, 5181, 476, 272, 267, 519, 22699, 262, 24888, 547, 519, 22699, 262, 476, 4489, 280, 8419, 32368, 19996, 949, 723, 1044, 513, 22699, 262, 771, 23457, 9341, 5951, 602, 27424, 31023, 2509, 519, 22662, 262, 2274, 1168, 731, 11866, 269, 634, 1985, 1554, 267, 3606, 7422, 8612, 602, 519, 21979, 262, 19717, 1185, 9715, 513, 13411, 7814, 4577, 10009, 282, 3976, 267, 519, 1062, 729, 5462, 547, 723, 1831, 513, 13411, 9341, 4965, 676, 476, 1321, 281, 876, 27635, 602, 1554, 1175, 7532, 540, 2871, 12818, 537, 701, 269, 2142, 329, 904, 639, 269, 19573, 531, 7794, 514, 262, 7018, 607, 519, 21979, 262, 4965, 27424, 7178, 5991, 2180, 8054, 267, 12492, 514, 262, 9341, 7088, 8515, 693, 476, 6187, 281, 876, 27635, 593, 5181, 476, 274, 269, 3828, 10679, 3108, 2663, 267, 519, 22662, 262, 9341, 7814, 821, 804, 5792, 519, 22662, 262, 3665, 1606, 1926, 13523, 6712, 540, 17896, 22656, 609, 5021, 13455, 12798, 540, 476, 2004, 18890, 630, 3199, 5998, 10774, 1040, 634, 7814, 821, 9738, 513, 22662, 262, 1970, 15134, 9341, 7088, 8515, 607, 621, 17704, 1194, 519, 7187, 5032, 540, 3571, 3966, 2723, 320, 519, 22662, 262, 1246, 514, 262, 1554, 269, 2201, 5181, 476, 277, 267, 519, 21979, 262, 7088, 23589, 569, 5828, 2509, 519, 21979, 262, 5087, 538, 519, 4287, 540, 519, 5695, 802, 543, 6970, 545, 657, 1354, 759, 6058, 262, 513, 13411, 811, 530, 6856, 569, 18330, 513, 1554, 2663, 563, 4263, 476, 6187, 281, 876, 27635, 593, 5181, 476, 278, 267, 519, 7814, 821, 22541, 547, 19996, 8515, 5087, 540, 15867, 12097, 6816, 269, 3004, 951, 514, 262, 31023, 2066, 519, 22699, 262, 7013, 970, 757, 540, 519, 15840, 24252, 267, 519, 22662, 262, 9241, 2919, 19996, 20406, 8057, 538, 2450, 543, 8515, 269, 5181, 476, 278, 267, 519, 21979, 262, 19996, 6603, 519, 22699, 262, 6697, 540, 606, 21979, 262, 21145, 476, 273, 593, 519, 22699, 262, 2413, 6377, 590, 3530, 597, 1700, 8245, 12121, 4336, 543, 2663, 6603, 2101, 19996, 4222, 593, 5181, 476, 279, 16172, 1354, 3444, 514, 262, 1656, 4592, 6816, 269, 2201, 5181, 476, 280, 267, 519, 22662, 262, 7088, 14556, 1881, 2417, 547, 21145, 476, 275, 4222, 1354, 1780, 514, 262, 10199, 476, 1789, 1700, 2412, 11465, 630, 4366, 1700, 5038, 5998, 264, 5045, 540, 6206, 4639, 267, 8419, 538, 519, 8419, 18135, 1080, 269, 2311, 476, 5881, 281, 876, 27635, 593, 5181, 476, 1015, 267, 519, 19996, 1500, 2244, 6420, 593, 519, 22662, 262, 16959, 32202, 1872, 553, 693, 8445, 8515, 609, 12798, 540, 476, 5611, 18890, 630, 13301, 5998, 10774, 264, 8831, 514, 262, 607, 2484, 607, 476, 1704, 11465, 630, 2764, 5998, 264, 856, 2072, 689, 519, 21979, 262, 4099, 543, 513, 22699, 262, 1970, 3046, 6248, 2604, 540, 476, 280, 2767, 544, 8663, 630, 327, 25508, 282, 476, 2767, 269, 4391, 538, 32074, 264, 1759, 593, 513, 22662, 262, 3046, 10309, 8343, 538, 519, 22699, 262, 3750, 540, 519, 22662, 262, 7088, 269, 2311, 519, 22699, 262, 942, 267, 713, 1500, 519, 22699, 262, 9341, 7814, 821, 519, 22662, 262, 2034, 16999, 547, 10880, 519, 21979, 262, 2136, 2276, 2094, 476, 6977, 272, 267, 1152, 3297, 519, 22699, 262, 476, 6642, 277, 4095, 7637, 19996, 269, 2991, 2244, 6420, 267, 519, 7088, 695, 869, 569, 6410, 31023, 883, 519, 22699, 262, 13323, 540, 6792, 563, 5804, 5181, 476, 1015, 547, 5181, 476, 1691, 267, 519, 22699, 262, 9341, 7814, 821, 21986, 539, 519, 22699, 262, 13323, 540, 6792, 267, 2226, 514, 262, 513, 22662, 262, 3532, 8515, 269, 1733, 880, 339, 1631, 269, 2201, 5181, 476, 1321, 267, 519, 19996, 13713, 18604, 547, 21145, 476, 274, 8515, 1354, 1964, 21880, 6533, 514, 262, 16172, 27502, 269, 1488, 571, 262, 1131, 9493, 6432, 547, 713, 695, 924, 286, 634, 1246, 514, 262, 1554, 267, 519, 21979, 262, 7088, 6603, 513, 13411, 6281, 8445, 8515, 609, 12798, 540, 476, 13970, 18890, 630, 20720, 5998, 10774, 264, 543, 513, 13411, 5934, 2604, 540, 476, 280, 4029, 544, 8663, 630, 327, 25508, 282, 476, 2767, 269, 2004, 538, 32074, 264, 936, 519, 7262, 13323, 540, 6792, 1354, 14020, 514, 262, 10511, 527, 3585, 19952, 269, 2311, 476, 2641, 281, 876, 27635, 593, 5181, 476, 1691, 267, 519, 22699, 262, 19996, 1500, 922, 3803, 2244, 6420, 2282, 645, 3530, 514, 7345, 607, 513, 21145, 476, 274, 19996, 609, 12798, 540, 476, 12893, 18890, 630, 6977, 5998, 10774, 264, 543, 606, 21979, 262, 3844, 2604, 540, 476, 31405, 544, 8663, 630, 327, 25508, 282, 476, 2764, 269, 6187, 538, 32074, 1040, 16270, 1940, 514, 262, 11849, 648, 267, 519, 22699, 262, 7088, 729, 29099, 1804, 282, 922, 8953, 540, 5021, 12798, 6027, 476, 2412, 11465, 630, 4792, 5998, 264, 3379, 547, 519, 21979, 262, 3328, 540, 476, 2641, 11465, 630, 3451, 5998, 264, 585, 15420, 540, 2147, 14556, 885, 269, 1306, 519, 22662, 262, 19996, 27424, 2417, 24654, 267, 2244, 5872, 18604, 519, 7814, 821, 267, 609, 12798, 5323, 653, 514, 262, 2630, 19996, 268, 4403, 593, 5181, 476, 1428, 543, 1287, 2630, 9341, 7088, 268, 4403, 519, 22699, 262, 1985, 1554, 269, 9941, 21979, 262, 1554, 269, 1635, 476, 1240, 281, 876, 27635, 593, 5181, 476, 1626, 267, 519, 9341, 7814, 821, 1185, 26632, 730, 936, 4639, 7147, 267, 2282, 519, 22699, 262, 8473, 1063, 7147, 543, 6792, 563, 18814, 547, 519, 22699, 262, 3668, 540, 19996, 7422, 693, 4262, 267, 519, 21979, 262, 1101, 9341, 7814, 821, 24633, 514, 262, 19430, 676, 519, 22662, 262, 2136, 2276, 16661, 13163, 729, 513, 13411, 7088, 24633, 514, 262, 593, 5181, 476, 279, 9783, 585, 2127, 2059, 519, 21979, 262, 8419, 5032, 689, 18347, 593, 519, 21979, 262, 7532, 5032, 547, 10783, 3733, 619, 593, 519, 22699, 262, 25345, 781, 7178, 5032, 609, 519, 21979, 262, 7088, 2907, 513, 22662, 262, 2101, 19996, 936, 519, 22662, 262, 15840, 24252, 269, 19415, 909, 1631, 547, 713, 18979, 530, 534, 269, 634, 1101, 19996, 24633, 514, 262, 729, 9783, 519, 22699, 262, 1985, 1554, 585, 9381, 2127, 689, 18347, 547, 6206, 4639, 267, 609, 782, 8043, 16761, 547, 2057, 519, 8419, 18135, 1080, 543, 519, 22662, 262, 7297, 1055, 8419, 781, 9533, 5032, 269, 769, 1840, 267, 519, 22662, 262, 7088, 781, 15810, 2619, 883, 519, 13323, 540, 6792, 19430, 519, 22662, 262, 17531, 547, 849, 1463, 519, 24999, 540, 9635, 538, 519, 22699, 262, 19996, 781, 18330, 269, 769, 24543, 267, 8419, 267, 519, 22662, 262, 2749, 781, 1379, 2030, 2759, 1055, 922, 5122, 3977, 607, 513, 22662, 262, 13390, 1081, 776, 2268, 267, 585, 11142, 262, 606, 18532, 1379, 856, 720, 538, 519, 22662, 262, 2749, 269, 2201, 519, 476, 1015, 628, 693, 476, 1015, 281, 1789, 533, 6230, 1421, 22583, 7088, 21855, 941, 9783, 689, 2961, 4599, 16279, 267, 8419, 547, 1715, 20252, 267, 17039, 269, 2201, 519, 21979, 262, 476, 1556, 628, 693, 476, 275, 533, 6230, 1421, 519, 22699, 262, 7088, 21855, 585, 519, 22699, 262, 22583, 13323, 5032, 941, 4957, 547, 19996, 21855, 267, 543, 6905, 31023, 2059, 519, 21979, 262, 3259, 540, 519, 17039, 5032, 269, 594, 4126, 586, 714, 616, 782, 10772, 1631, 269, 2311, 476, 280, 533, 6230, 1421, 22070, 7088, 21855, 941, 9783, 585, 519, 22070, 13323, 5032, 689, 5800, 14880, 547, 20653, 553, 1723, 267, 7147, 269, 2311, 476, 275, 533, 6230, 267, 7083, 12196, 721, 543, 4688, 721, 269, 593, 519, 22662, 262, 476, 1321, 628, 267, 7088, 21855, 941, 538, 1198, 689, 16353, 267, 17665, 547, 623, 839, 659, 7637, 267, 8419, 267, 609, 19996, 21855, 538, 1198, 2059, 519, 21979, 262, 14967, 543, 17039, 5032, 338, 267, 1131, 9493, 2220, 958, 602, 286, 2201, 519, 22699, 262, 1256, 514, 262, 540, 519, 476, 1724, 628, 267, 22070, 7088, 21855, 941, 538, 1198, 585, 519, 3003, 7147, 5032, 563, 763, 15840, 24252, 543, 18010, 454, 347, 27270, 281, 16458, 31586, 2475, 24377, 2008, 4407, 1780, 514, 262, 998, 519, 15840, 24252, 593, 5181, 476, 279, 267, 519, 22699, 262, 24156, 7412, 9252, 518, 595, 800, 18484, 13351, 2244, 543, 2663, 521, 1678, 546, 584, 514, 262, 519, 22699, 262, 7088, 269, 3371, 781, 1776, 844, 732, 835, 269, 634, 6928, 729, 711, 1336, 2394, 5181, 476, 1556, 267, 693, 799, 942, 621, 729, 4362, 602, 476, 2767, 1004, 593, 4604, 1185, 546, 27547, 1247, 8370, 1866, 7307, 547, 7639, 1310, 7669, 2381, 262, 547, 13272, 269, 2201, 519, 10195, 267, 2178, 12798, 3812, 676, 519, 22662, 262, 19996, 10032, 3875, 5321, 543, 521, 1678, 1896, 11634, 3019, 619, 267, 682, 822, 514, 262, 1082, 15602, 269, 769, 519, 22662, 262, 8419, 26463, 267, 513, 13411, 23162, 6077, 4163, 514, 262, 476, 3393, 1004, 729, 18843, 539, 546, 584, 514, 262, 519, 21979, 262, 7088, 269, 9406, 865, 269, 1717, 267, 1776, 6928, 538, 519, 22662, 262, 1858, 7307, 547, 3914, 519, 22662, 262, 23162, 6077, 543, 15063, 782, 15915, 563, 7212, 519, 22662, 262, 19996, 2760, 1500, 2244, 6420, 593, 18010, 267, 519, 22662, 262, 7088, 781, 2673, 16133, 547, 519, 22699, 262, 7187, 21018, 540, 519, 21979, 262, 6532, 3366, 547, 9645, 5222, 269, 3371, 781, 1776, 844, 732, 835, 585, 9493, 269, 589, 2178, 7088, 10006, 5916, 609, 2842, 1606, 933, 696, 6329, 547, 5529, 519, 22699, 262, 32147, 3570, 23772, 718, 267, 6360, 514, 262, 2127, 540, 519, 22699, 262, 2749, 607, 2484, 607, 3670, 7161, 24654, 543, 5401, 514, 262, 519, 22699, 262, 27549, 540, 5321, 693, 1981, 269, 634, 538, 1495, 566, 849, 16981, 930, 540, 32147, 3570, 781, 911, 332, 1949, 543, 10300, 1540, 16669, 6808, 563, 288, 28575, 267, 838, 1177, 2740, 676, 519, 22699, 262, 19996, 267, 13351, 717, 746, 338, 267, 8419, 593, 5181, 476, 1015, 267, 1940, 514, 262, 24654, 689, 645, 4593, 599, 928, 7345, 267, 519, 554, 3233, 269, 898, 3361, 2475, 259, 1839, 267, 1822, 630, 4489, 280, 9489, 264, 538, 3441, 269, 2986, 519, 21979, 262, 5111, 476, 7785, 268, 12010, 1004, 13166, 4080, 7166, 538, 519, 22662, 262, 7088, 267, 10199, 476, 4335, 540, 873, 941, 20829, 4557, 9635, 4503, 693, 4262, 269, 9442, 729, 2759, 1055, 585, 519, 30810, 540, 8419, 5045, 540, 24543, 1246, 514, 262, 519, 7088, 781, 8574, 269, 1635, 6476, 267, 3162, 8419, 3544, 519, 22662, 262, 8419, 32368, 7283, 5266, 796, 2675, 520, 1117, 267, 1131, 9493, 3494, 621, 286, 6489, 338, 538, 570, 2086, 320, 1152, 6603, 476, 2918, 18890, 630, 5655, 5998, 10774, 264, 607, 519, 22662, 262, 19996, 5293, 547, 519, 21979, 262, 2749, 781, 5045, 269, 6736, 6382, 5634, 3441, 538, 24543, 267, 476, 1704, 2777, 2692, 1846, 543, 1507, 4739, 3141, 330, 538, 645, 4593, 599, 928, 7345, 607, 513, 13411, 1267, 540, 11315, 15798, 269, 28100, 543, 25096, 593, 519, 21979, 262, 7147, 5032, 941, 849, 4049, 267, 538, 851, 1813, 547, 7301, 32422, 602, 519, 21979, 262, 7088, 1185, 5828, 5087, 883, 17039, 267, 799, 11562, 5896, 512, 752, 514, 262, 7088, 21855, 538, 4856, 16476, 2441, 328, 1524, 519, 1554, 1354, 2244, 6420, 269, 9282, 21855, 941, 11540, 1586, 2038, 519, 22662, 262, 1246, 514, 262, 1554, 267, 519, 21979, 262, 4961, 941, 2192, 1790, 10517, 1563, 950, 519, 21979, 262, 19996, 1500, 2244, 6420, 5045, 540, 519, 21979, 262, 2749, 607, 513, 2101, 19996, 282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11792, 869, 630, 5002, 279, 268, 3192, 271, 1040, 1548, 568, 519, 3017, 1063, 11792, 869, 543, 887, 7970, 910, 972, 616, 10486, 607, 1134, 607, 3604, 1063, 519, 6436, 540, 7209, 540, 11792, 869, 269, 901, 1957, 786, 2697, 543, 5635, 1079, 1523, 687, 540, 2495, 602, 723, 1044, 2112, 13797, 267, 609, 705, 12646, 11792, 869, 543, 1286, 331, 887, 7970, 607, 922, 1034, 9565, 3401, 563, 2005, 729, 3833, 513, 2318, 2070, 540, 1480, 2470, 267, 3379, 547, 519, 25164, 24608, 2070, 602, 649, 723, 782, 891, 4158, 13821, 602, 649, 16401, 267, 610, 519, 269, 1977, 18673, 705, 12646, 11792, 869, 13264, 1007, 2666, 538, 6530, 676, 729, 22579, 676, 737, 4669, 4154, 7322, 538, 476, 3707, 271, 543, 2663, 4922, 1031, 676, 1286, 331, 887, 7970, 6476, 540, 11792, 869, 781, 15796, 540, 2115, 609, 669, 752, 6652, 543, 269, 3203, 545, 3634, 1480, 2065, 5640, 971, 607, 705, 12646, 11792, 869, 543, 5066, 334, 949, 513, 5929, 3381, 9236, 1286, 331, 887, 7970, 267, 620, 6975, 14248, 529, 267, 543, 535, 761, 345, 829, 3149, 6039, 607, 519, 269, 8682, 19840, 783, 1436, 267, 2687, 547, 11792, 869, 267, 4564, 519, 2208, 540, 606, 1286, 331, 887, 7970, 849, 2813, 513, 3069, 708, 2364, 908, 513, 968, 29115, 1761, 892, 4171, 563, 1103, 713, 2376, 649, 1459, 513, 6476, 540, 519, 2729, 543, 960, 540, 705, 12646, 11792, 869, 267, 513, 15713, 4651, 540, 1480, 2065, 6530, 267, 543, 646, 514, 345, 737, 2129, 583, 267, 519, 15713, 269, 901, 1353, 568, 513, 1007, 960, 1317, 621, 11394, 547, 5635, 1582, 19840, 783, 1436, 689, 519, 5133, 540, 1079, 16895, 26759, 11792, 869, 543, 887, 7970, 609, 28991, 538, 2185, 2694, 1547, 1306, 705, 12646, 11792, 869, 267, 1286, 331, 887, 7970, 267, 5066, 334, 949, 267, 521, 573, 2284, 2321, 731, 267, 543, 1866, 267, 3379, 547, 476, 4343, 276, 829, 1298, 2021, 1851, 782, 2818, 540, 16643, 267, 6498, 476, 3953, 568, 563, 26466, 644, 267, 11792, 869, 267, 2144, 328, 802, 517, 267, 543, 887, 7970, 6476, 476, 1001, 276, 268, 6021, 272, 275, 2220, 334, 476, 30329, 281, 476, 6795, 5965, 585, 2661, 8400, 281, 6476, 540, 1954, 644, 811, 1344, 269, 3245, 1954, 644, 547, 887, 7970, 547, 11792, 869, 519, 8129, 10486, 616, 1373, 7307, 547, 3914, 513, 1455, 887, 7970, 1691, 538, 11792, 869, 781, 5943, 267, 2705, 267, 646, 2306, 269, 540, 1480, 2065, 6530, 267, 855, 782, 2721, 593, 519, 960, 540, 11792, 869, 543, 887, 7970, 585, 1383, 267, 1082, 4207, 16293, 946, 887, 7970, 262, 2093, 540, 5042, 1935, 6476, 1557, 281, 1383, 2626, 3381, 630, 1626, 7436, 563, 763, 1268, 19721, 1935, 1247, 11792, 869, 729, 811, 540, 513, 17695, 626, 267, 1286, 331, 887, 7970, 729, 811, 540, 513, 13309, 1010, 3318, 3804, 729, 811, 593, 4543, 1004, 269, 476, 276, 519, 1480, 2065, 5133, 281, 705, 12646, 11792, 869, 543, 1582, 19840, 783, 1436, 476, 2420, 9236, 887, 7970, 547, 1954, 644, 887, 7970, 1107, 9763, 1004, 607, 2318, 267, 4464, 268, 3001, 11783, 1496, 4338, 17928, 7709, 734, 316, 0, 763, 8343, 540, 3114, 6547, 454, 11514, 4740, 3114, 5114, 2621, 9648, 538, 3070, 723, 1044, 4767, 676, 2582, 27141, 7020, 540, 513, 536, 574, 12817, 267, 2447, 559, 29061, 1417, 5114, 269, 589, 3114, 5114, 568, 519, 1689, 540, 513, 6219, 883, 513, 1007, 547, 1449, 707, 7060, 540, 8343, 1082, 1114, 2010, 540, 3114, 6547, 269, 9537, 540, 3114, 6547, 3040, 323, 1170, 1828, 3040, 2181, 27457, 2787, 3040, 659, 1749, 543, 13279, 543, 741, 6547, 3040, 8343, 281, 3905, 7401, 4744, 11510, 4006, 1454, 269, 1411, 1294, 267, 519, 3670, 2010, 540, 5114, 616, 1152, 835, 540, 1082, 1114, 2081, 547, 30387, 3114, 6547, 563, 288, 5758, 540, 6127, 540, 3114, 6547, 538, 1412, 338, 5114, 737, 27282, 281, 5114, 6127, 1451, 4010, 1018, 5949, 538, 713, 3184, 267, 6429, 267, 610, 3296, 540, 5114, 737, 27282, 281, 5114, 6127, 543, 1018, 621, 1797, 269, 15845, 540, 3114, 6547, 1353, 1404, 1079, 1114, 15559, 616, 6404, 1927, 799, 8343, 6920, 602, 606, 608, 1278, 6193, 3114, 5114, 814, 269, 11906, 737, 27282, 6257, 519, 2078, 1063, 6027, 3928, 540, 3114, 6547, 543, 519, 2143, 10570, 543, 7636, 6127, 3842, 799, 519, 4767, 3114, 1689, 4386, 563, 3725, 13905, 540, 10300, 11077, 630, 553, 25694, 3435, 264, 10300, 11077, 10929, 2699, 2135, 6547, 713, 3126, 540, 2241, 6901, 14550, 930, 540, 519, 3114, 3601, 540, 269, 6258, 547, 2697, 513, 3114, 1780, 513, 14816, 540, 13101, 1472, 547, 707, 1053, 585, 8343, 4245, 476, 273, 268, 275, 1331, 513, 2034, 1259, 547, 4766, 3114, 6547, 269, 11906, 5114, 281, 3114, 5114, 3114, 6547, 32736, 538, 519, 20569, 540, 3618, 267, 538, 519, 5790, 543, 12084, 267, 543, 538, 513, 5318, 5044, 540, 7294, 3157, 269, 1677, 2070, 519, 4890, 3114, 6547, 267, 2594, 707, 8343, 540, 519, 5911, 779, 972, 616, 1614, 2489, 2081, 547, 3313, 952, 513, 3114, 5114, 814, 563, 1432, 616, 1806, 540, 4948, 3114, 6547, 513, 281, 2656, 2626, 519, 5114, 1063, 11256, 8869, 543, 606, 3679, 568, 606, 1383, 540, 606, 4948, 3114, 5114, 269, 26306, 540, 7601, 281, 513, 5311, 540, 3114, 6547, 6859, 6547, 5650, 6859, 9414, 3099, 540, 6878, 540, 799, 606, 3693, 666, 581, 851, 269, 769, 1606, 15856, 8343, 540, 3114, 6547, 1644, 547, 281, 3114, 1299, 3032, 4519, 11287, 6547, 607, 789, 4755, 568, 1883, 547, 1620, 519, 3157, 3238, 269, 769, 3232, 1272, 972, 781, 568, 865, 1082, 5114, 3217, 1747, 538, 1554, 547, 1554, 1272, 930, 1806, 930, 540, 519, 28507, 1806, 540, 3114, 6547, 538, 4948, 1272, 616, 19344, 630, 320, 21740, 543, 26103, 1070, 15591, 267, 15309, 532, 543, 8781, 269, 9537, 540, 6547, 2978, 1867, 910, 1863, 4647, 607, 2262, 2703, 630, 25269, 1070, 7824, 3758, 630, 23486, 1070, 1257, 3758, 630, 339, 868, 264, 610, 1224, 2228, 585, 1863, 23345, 689, 24440, 2703, 338, 563, 20082, 15768, 3114, 5114, 2621, 9648, 538, 3070, 723, 1044, 4767, 676, 2582, 27141, 7020, 540, 513, 536, 574, 12817, 267, 2447, 559, 29061, 1417, 5114, 269, 1715, 6117, 3196, 585, 3114, 6547, 4266, 281, 795, 2317, 476, 280, 855, 519, 9670, 8343, 602, 621, 8709, 1639, 1369, 513, 1906, 3108, 6659, 1007, 2055, 602, 3366, 547, 1256, 269, 11906, 5114, 910, 519, 5726, 540, 2339, 281, 538, 6547, 896, 3339, 8047, 2175, 267, 2339, 568, 9444, 2813, 6862, 10032, 267, 543, 269, 1323, 3635, 538, 8343, 540, 543, 17429, 794, 689, 3114, 1265, 4603, 476, 273, 2978, 1867, 910, 4603, 476, 273, 519, 476, 280, 7150, 602, 538, 3114, 6547, 27260, 12585, 547, 8343, 540, 3114, 5114, 2978, 851, 476, 273, 281, 2079, 476, 272, 3442, 476, 276, 6547, 689, 519, 1657, 5750, 547, 3514, 519, 2630, 1270, 269, 1548, 568, 513, 3114, 5114, 540, 2527, 1107, 332, 2660, 568, 9444, 2813, 6862, 10032, 1282, 513, 3114, 5114, 1700, 568, 23491, 539, 538, 968, 867, 2435, 892, 3114, 6547, 269, 1677, 4163, 856, 519, 1739, 6547, 543, 19665, 873, 607, 2168, 610, 3114, 2242, 513, 4401, 609, 7601, 20962, 622, 3070, 538, 1216, 536, 8781, 540, 13101, 538, 2011, 269, 11906, 6547, 2978, 476, 275, 476, 272, 2594, 1022, 2963, 540, 3114, 1689, 538, 519, 851, 524, 268, 274, 8343, 1239, 3349, 6547, 9078, 629, 318, 9690, 25269, 343, 563, 268, 4985, 950, 1007, 6878, 616, 3812, 538, 513, 5114, 649, 2161, 513, 3114, 1689, 814, 7018, 891, 2242, 616, 1360, 2352, 267, 3006, 7543, 267, 547, 563, 268, 4841, 1287, 1685, 476, 1015, 811, 3114, 6547, 609, 14236, 608, 1278, 6193, 543, 1439, 1278, 6193, 6547, 1780, 856, 1769, 16853, 547, 1053, 585, 8343, 563, 268, 595, 1638, 523, 11305, 1335, 539, 343, 476, 1001, 275, 2010, 540, 3114, 6547, 2978, 3483, 281, 7747, 930, 3114, 6547, 543, 2697, 2746, 1218, 543, 2472, 540, 1346, 6547, 19665, 519, 6547, 607, 10282, 267, 17883, 267, 2582, 10682, 610, 5595, 563, 309, 6387, 321, 2830, 2875, 13538, 585, 2257, 2963, 540, 513, 3114, 476, 273, 3114, 6547, 8343, 9212, 269, 3367, 7422, 540, 3114, 2242, 1863, 1557, 543, 936, 621, 2968, 2312, 998, 8343, 602, 3114, 6547, 609, 3679, 1532, 848, 10832, 8507, 269, 23203, 6127, 540, 3327, 2861, 18195, 800, 2326, 538, 1138, 333, 7148, 268, 32440, 1765, 4820, 13797, 281, 538, 2198, 8343, 540, 3114, 6547, 269, 0, 15933, 21187, 543, 6464, 616, 1336, 538, 1082, 2472, 689, 27574, 8970, 547, 31576, 5622, 543, 666, 581, 5739, 547, 1453, 2241, 3268, 666, 948, 269, 1656, 1310, 596, 4312, 1831, 5432, 609, 741, 5739, 2360, 267, 581, 2386, 547, 14736, 891, 476, 5611, 10782, 26437, 3536, 538, 13314, 856, 540, 707, 2732, 1034, 540, 269, 2755, 856, 17365, 10918, 596, 1590, 2057, 891, 476, 280, 1426, 21187, 5739, 585, 3214, 1224, 593, 547, 917, 875, 789, 1860, 741, 1072, 269, 1215, 547, 2057, 5739, 1426, 21187, 1082, 1004, 723, 1831, 5051, 3222, 540, 519, 2010, 543, 5666, 540, 21187, 602, 616, 1459, 538, 563, 3682, 22422, 543, 11183, 814, 2799, 519, 946, 540, 1426, 21187, 538, 519, 1426, 2872, 930, 540, 891, 21187, 723, 2404, 1072, 4220, 269, 3680, 17559, 267, 14432, 1426, 21187, 676, 9140, 891, 17705, 267, 2635, 267, 4123, 3536, 609, 17559, 5820, 5532, 547, 3978, 1072, 4220, 585, 891, 17705, 11783, 667, 13377, 540, 1426, 21187, 543, 29089, 2510, 281, 2965, 713, 6645, 606, 1271, 1650, 543, 1058, 581, 513, 2489, 9963, 547, 782, 602, 21187, 540, 1022, 563, 763, 3105, 6810, 1448, 547, 1426, 5079, 602, 1522, 2539, 513, 3106, 267, 543, 5214, 3536, 2732, 543, 2534, 2188, 602, 1860, 4220, 585, 519, 2009, 1909, 540, 1426, 21187, 538, 2860, 1981, 568, 606, 1858, 540, 1390, 1857, 1719, 269, 1879, 8757, 585, 707, 5172, 9268, 3536, 267, 972, 616, 513, 1906, 2699, 17514, 596, 1058, 1413, 719, 585, 1294, 476, 280, 5906, 1426, 21187, 3025, 1058, 2057, 269, 1879, 621, 2501, 547, 1426, 543, 6484, 267, 519, 535, 6767, 9846, 4991, 621, 4636, 835, 519, 835, 1688, 267, 519, 8116, 2636, 5906, 21187, 538, 938, 1426, 269, 7073, 11951, 568, 8185, 561, 3166, 609, 21187, 585, 7801, 267, 7657, 1681, 543, 8497, 938, 1426, 930, 540, 891, 21187, 616, 20027, 267, 930, 269, 901, 568, 1317, 26437, 1426, 568, 16041, 609, 21187, 267, 1082, 540, 799, 723, 3114, 610, 3621, 596, 666, 1451, 811, 827, 519, 5739, 2360, 540, 575, 21573, 1934, 563, 2304, 9565, 1895, 540, 12963, 2103, 568, 9963, 602, 1455, 1426, 21187, 949, 10460, 513, 8594, 547, 1453, 519, 7819, 30028, 540, 269, 11906, 338, 3773, 547, 938, 3536, 2221, 723, 1044, 1634, 547, 581, 5739, 547, 1072, 585, 5176, 476, 1911, 1296, 1934, 568, 519, 6456, 1650, 267, 2854, 676, 519, 1101, 2212, 540, 519, 535, 6767, 269, 634, 12178, 540, 1426, 21187, 616, 1082, 267, 543, 891, 6464, 616, 11342, 538, 2221, 781, 3536, 1451, 827, 519, 1761, 12178, 540, 1426, 21187, 563, 19604, 4034, 1318, 568, 7255, 827, 707, 1072, 1934, 568, 513, 1867, 602, 6257, 519, 12178, 540, 1426, 21187, 602, 616, 4122, 1336, 538, 519, 269, 898, 781, 3274, 711, 2614, 547, 4444, 2635, 267, 1164, 7779, 1426, 621, 781, 849, 1271, 602, 707, 1426, 581, 1863, 540, 5739, 21187, 17618, 3989, 267, 1426, 269, 4595, 3536, 2099, 513, 2707, 540, 891, 13802, 267, 1577, 781, 1413, 693, 519, 1883, 21187, 602, 949, 24183, 707, 1072, 476, 1321, 1883, 21187, 547, 2057, 543, 741, 1072, 4220, 563, 15933, 21187, 543, 8441, 538, 2029, 948, 1118, 602, 2009, 3108, 5986, 543, 666, 940, 267, 610, 3398, 2799, 4220, 540, 1426, 27253, 720, 269, 589, 4122, 4371, 3661, 568, 602, 782, 267, 610, 930, 267, 1426, 21187, 616, 5393, 5739, 267, 2014, 2860, 267, 543, 1058, 581, 14284, 1082, 1072, 1426, 269, 16572, 941, 21892, 607, 2038, 607, 476, 6344, 273, 547, 9004, 5739, 21187, 1031, 607, 2681, 610, 1426, 21187, 616, 1022, 6219, 610, 7848, 540, 6878, 824, 982, 519, 563, 31088, 539, 3536, 616, 10375, 855, 949, 10460, 1072, 4220, 269, 634, 1655, 1259, 547, 2057, 4598, 547, 891, 5739, 6464, 568, 547, 1174, 519, 1034, 1455, 543, 5906, 21187, 543, 799, 3536, 789, 616, 1034, 1419, 269, 3367, 519, 5767, 1382, 593, 1426, 21187, 543, 29089, 2510, 1519, 741, 1198, 593, 1480, 1072, 269, 5753, 3068, 1896, 1072 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 6581, 826, 1104, 6581, 826, 5897, 5035, 4147, 1518, 20075, 826, 24998, 8029, 825, 1219, 6449, 8181, 9191, 1345, 267, 3193, 19617, 8029, 1038, 1582, 27982, 19617, 815, 3193, 19617, 1477, 1038, 1582, 6983, 520, 698, 800, 815, 6581, 826, 4311, 27982, 19617, 3418, 24541, 825, 1219, 538, 12218, 1518, 20075, 826, 4311, 267, 11907, 8029, 1038, 1582, 6983, 520, 698, 800, 269, 1584, 16597, 3418, 1363, 1477, 825, 1219, 856, 12218, 1518, 20075, 826, 4311, 8029, 1038, 2132, 1582, 6983, 520, 698, 800, 10947, 14052, 24541, 825, 1219, 568, 12218, 1518, 10387, 27679, 4311, 8029, 1038, 952, 1582, 6983, 520, 698, 800, 269, 336, 21653, 3890, 2652, 476, 271, 6769, 2018, 2132, 6936, 1477, 1038, 3116, 6769, 2018, 2132, 8771, 1477, 24541, 24541, 24541, 1363, 0, 328, 815, 476, 275, 454, 3698, 568, 28269, 9217, 2187, 476, 952, 1775, 3436, 476, 272, 912, 825, 585, 1003, 538, 2039, 263, 273, 267, 328, 2187, 8587, 952, 630, 328, 4939, 1003, 264, 2652, 476, 271, 912, 1038, 1820, 2891, 8253, 11788, 5602, 1038, 2736, 454, 825, 3116, 912, 8587, 1820, 2891, 28269, 5602, 11434, 454, 529, 28269, 9217, 264, 567, 692, 12294, 815, 476, 274, 454, 21639, 815, 476, 3066, 454, 3698, 568, 28269, 21918, 527, 263, 12294, 267, 21639, 2187, 476, 585, 1003, 538, 2039, 263, 12294, 267, 21639, 1341, 476, 272, 2187, 825, 952, 1003, 3436, 476, 272, 912, 8587, 585, 1775, 538, 2039, 263, 273, 267, 11133, 2187, 1038, 952, 630, 11133, 4939, 1775, 264, 2652, 476, 271, 912, 16875, 2736, 454, 1038, 3116, 912, 16875, 1820, 16325, 994, 19930, 454, 529, 28269, 21918, 527, 263, 12294, 267, 21639, 994, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 32046, 593, 6129, 4239, 476, 1240, 476, 1556, 281, 2004, 281, 2190, 476, 1708, 271, 5897, 287, 10461, 281, 14871, 1477, 18851, 5897, 338, 284, 6358, 2891, 11767, 519, 5569, 281, 14744, 11420, 284, 3553, 14052, 1721, 1535, 538, 521, 6769, 825, 6845, 14491, 3287, 3418, 2745, 2891, 5591, 540, 2189, 3197, 616, 14307, 6352, 4433, 523, 4297, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 3933, 9484, 476, 2764, 476, 866, 281, 1839, 281, 1626, 476, 1708, 271, 692, 287, 10461, 281, 667, 7709, 2316, 32602, 454, 20701, 1842, 284, 6358, 2891, 11767, 519, 1064, 281, 19515, 2745, 263, 1842, 994, 320, 14720, 284, 1842, 314, 271, 3910, 1842, 314, 272, 6540, 320, 284, 867, 5416, 9984, 271, 454, 321, 284, 867, 6357, 9984, 9032, 454, 604, 536, 260, 273, 2525, 271, 912, 825, 952, 513, 260, 273, 2525, 271, 912, 1038, 1820, 2891, 763, 4216, 568, 3043, 5602, 825, 3116, 912, 1038, 1820, 2891, 763, 4216, 568, 3109, 5602, 12828, 912, 825, 952, 513, 260, 273, 2525, 271, 912, 1038, 1820, 2891, 763, 4216, 568, 3109, 5602, 825, 3116, 912, 1038, 1820, 2891, 763, 4216, 568, 3043, 8442, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 570, 826, 9484, 476, 2420, 476, 1556, 281, 4391, 281, 6187, 476, 1708, 271, 692, 287, 10461, 281, 667, 7709, 2316, 32602, 454, 20701, 333, 25507, 9272, 2891, 11767, 519, 1297, 281, 27328, 8999, 284, 271, 454, 11133, 284, 271, 454, 6112, 3799, 256, 284, 271, 2187, 825, 2040, 23785, 333, 454, 825, 1003, 23785, 272, 454, 825, 562, 25507, 9272, 2891, 11767, 519, 1297, 281, 27328, 12828, 912, 825, 952, 1003, 2525, 271, 912, 1038, 1820, 2891, 28989, 4986, 568, 1044, 9411, 19515, 825, 3116, 912, 1038, 1820, 2891, 30182, 568, 14307, 8999, 270, 11133, 994, 672, 0, 258, 18185, 2561, 454, 5228, 28184, 5793, 1104, 570, 330, 267, 28678, 267, 29502, 267, 1292, 31467, 454, 5228, 1187, 551, 8962, 1104, 9864, 454, 5228, 9498, 1104, 18185, 692, 5035, 681, 754, 19907, 10031, 825, 23288, 1038, 681, 11367, 519, 5920, 540, 519, 9498, 676, 10451, 543, 588, 3539, 519, 11097, 12033, 563, 825, 23288, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 23288, 2018, 19461, 2478, 519, 14906, 19907, 676, 2870, 513, 1007, 2582, 3236, 540, 519, 9498, 1362, 2676, 2018, 865, 1766, 1343, 543, 12427, 616, 813, 2105, 547, 835, 4082, 267, 711, 2348, 741, 1378, 563, 1038, 23288, 1038, 1582, 269, 10174, 815, 570, 330, 4590, 13872, 1038, 1582, 269, 10174, 269, 20813, 2682, 6357, 326, 6889, 258, 272, 291, 272, 291, 272, 291, 2580, 14950, 343, 6889, 1428, 2580, 533, 8014, 6889, 1839, 5602, 1038, 1582, 269, 20412, 1807, 815, 18185, 4590, 1038, 1582, 269, 16059, 318, 7901, 815, 28678, 4311, 269, 10174, 267, 535, 326, 6889, 258, 293, 9128, 9128, 292, 2580, 13944, 284, 2891, 8256, 15614, 476, 1428, 19823, 1224, 21671, 3724, 3033, 6889, 258, 27898, 27898, 2580, 17854, 6889, 2431, 15419, 825, 1219, 3977, 318, 10339, 1833, 4311, 2187, 1038, 23288, 2018, 634, 1599, 602, 17016, 519, 4082, 547, 519, 3977, 4216, 593, 519, 5496, 454, 1038, 23288, 1038, 1582, 269, 16059, 318, 7901, 26769, 14808, 263, 8063, 6889, 7538, 5602, 1038, 1582, 269, 16059, 318, 7901, 19709, 8541, 263, 271, 267, 834, 754, 5602, 1038, 1582, 269, 16059, 318, 7901, 27044, 263, 271, 267, 1582, 269, 20412, 1807, 269, 10339, 1833, 994, 1038, 1582, 269, 16059, 318, 7901, 26769, 14808, 263, 8063, 6889, 1348, 21671, 5602, 1038, 1582, 269, 10174, 269, 12898, 263, 272, 267, 1582, 269, 16059, 318, 10339, 1833, 2020, 825, 1219, 11904, 4311, 2187, 1038, 23288, 2018, 634, 1599, 602, 14906, 619, 519, 9498, 563, 1038, 23288, 1038, 1948, 32001, 454, 1038, 1582, 269, 10174, 269, 613, 5852, 2891, 16348, 343, 4968, 5602, 1038, 1582, 269, 10174, 269, 637, 14184, 263, 16178, 267, 8771, 994, 1038, 1582, 269, 10174, 26644, 2891, 2419, 5142, 6853, 18185, 5602, 1038, 1582, 269, 10174, 269, 6625, 4226, 14090, 263, 2668, 270, 325, 822, 6625, 269, 4815, 15419, 1038, 1948, 19243, 13340, 454, 1038, 1582, 269, 16059, 318, 7901, 26942, 21405, 284, 271, 267, 6241, 284, 271, 267, 9587, 3966, 284, 276, 267, 533, 8014, 14352, 271, 267, 736, 11723, 1038, 1948, 8073, 1297, 16181, 454, 1038, 7735, 318, 271, 815, 29502, 4311, 269, 10174, 267, 1257, 6889, 271, 2580, 536, 326, 6889, 258, 273, 291, 273, 291, 273, 291, 2580, 535, 326, 6889, 258, 7417, 7417, 7417, 2580, 8700, 284, 276, 267, 4463, 284, 273, 267, 13944, 284, 2891, 8256, 15614, 476, 1321, 27363, 1038, 7735, 318, 271, 26769, 14808, 263, 12252, 284, 14783, 4311, 269, 20412, 1807, 6910, 318, 10339, 1833, 267, 7735, 318, 271, 6983, 1326, 2891, 3667, 257, 21875, 1038, 7735, 318, 271, 26942, 21405, 284, 275, 267, 6241, 284, 271, 2020, 1038, 1699, 32284, 815, 476, 274, 454, 1038, 1699, 22674, 4379, 815, 476, 271, 692, 1038, 585, 1775, 538, 2039, 630, 272, 267, 476, 1015, 2187, 2018, 1699, 318, 31728, 815, 29502, 4311, 269, 10174, 267, 1257, 284, 1598, 9217, 1070, 536, 326, 6889, 258, 273, 291, 273, 291, 273, 291, 2580, 535, 326, 6889, 258, 7417, 7417, 7417, 2580, 8700, 284, 276, 267, 4463, 284, 273, 267, 13944, 284, 2891, 8256, 15614, 476, 1321, 27363, 2018, 1699, 318, 31728, 26769, 14808, 263, 12252, 284, 14783, 4311, 269, 20412, 1807, 6910, 318, 10339, 1833, 267, 1699, 318, 31728, 6983, 1326, 2891, 3667, 257, 21875, 2018, 1699, 318, 31728, 26942, 21405, 284, 9690, 32284, 267, 6241, 284, 9690, 22674, 4379, 2020, 2018, 1699, 22674, 4379, 6834, 476, 272, 454, 2018, 952, 703, 263, 9690, 318, 31728, 6983, 1326, 2891, 3667, 257, 4297, 4939, 476, 274, 2652, 476, 271, 912, 3546, 1699, 32284, 20699, 476, 272, 454, 3546, 1699, 22674, 4379, 815, 476, 271, 692, 1038, 1948, 7358, 1807, 1809, 27971, 454, 1038, 12427, 815, 22373, 266, 2580, 834, 6629, 2580, 834, 9943, 2580, 834, 383, 371, 31116, 1038, 1699, 32284, 815, 476, 272, 692, 1038, 585, 11346, 538, 12427, 912, 2018, 1699, 318, 31728, 815, 29502, 4311, 269, 10174, 267, 1257, 284, 28072, 267, 536, 326, 6889, 258, 273, 291, 273, 291, 273, 291, 2580, 535, 326, 6889, 258, 7417, 7417, 7417, 2580, 8700, 284, 276, 267, 4463, 284, 273, 267, 13944, 284, 2891, 8256, 15614, 476, 1321, 27363, 2018, 1699, 318, 31728, 26769, 14808, 263, 12252, 284, 14783, 4311, 269, 20412, 1807, 6910, 318, 10339, 1833, 267, 1699, 318, 31728, 6983, 1326, 2891, 3667, 257, 21875, 2018, 1699, 318, 31728, 26942, 21405, 284, 9690, 32284, 267, 6241, 284, 275, 994, 2018, 1699, 32284, 6834, 476, 272, 692, 1038, 8918, 318, 31728, 815, 29502, 4311, 269, 10174, 267, 1257, 6889, 1701, 267, 536, 326, 6889, 258, 273, 291, 273, 291, 273, 291, 2580, 535, 326, 6889, 258, 7417, 7417, 7417, 2580, 8700, 284, 276, 267, 4463, 284, 273, 267, 13944, 284, 2891, 8256, 15614, 476, 1321, 27363, 1038, 8918, 318, 31728, 26769, 14808, 263, 12252, 284, 14783, 4311, 269, 20412, 1807, 6910, 318, 10339, 1833, 267, 8918, 318, 31728, 6983, 1326, 2891, 3667, 257, 21875, 1038, 8918, 318, 31728, 26942, 21405, 284, 275, 267, 6241, 284, 272, 2020, 1038, 11224, 318, 31728, 815, 29502, 4311, 269, 10174, 267, 1257, 6889, 284, 2580, 536, 326, 6889, 258, 273, 291, 273, 291, 273, 291, 2580, 535, 326, 6889, 258, 7417, 7417, 7417, 2580, 8700, 284, 276, 267, 4463, 284, 273, 267, 13944, 284, 2891, 8256, 15614, 476, 1321, 27363, 1038, 11224, 318, 31728, 26769, 14808, 263, 12252, 284, 14433, 281, 1496, 1345, 269, 20412, 1807, 4318, 1998, 10663, 318, 10339, 1833, 19572, 1582, 269, 16059, 318, 10339, 1833, 3890, 7481, 1038, 11224, 318, 31728, 26942, 21405, 284, 275, 267, 6241, 284, 273, 2020, 1038, 1582, 269, 10174, 269, 12898, 263, 272, 267, 1582, 269, 16059, 318, 10339, 1833, 994, 1038, 1582, 269, 10174, 6230, 664, 31467, 10797, 305, 754, 19907, 14061, 19810, 3890, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 23095, 676, 535, 272, 1066, 2763, 593, 476, 1240, 268, 276, 268, 2537, 476, 31284, 22287, 486, 1321, 281, 4905, 454, 1029, 10461, 1029, 815, 834, 325, 272, 1066, 2763, 4840, 1029, 5503, 1029, 815, 834, 1240, 268, 276, 268, 2537, 476, 31284, 22287, 486, 1321, 281, 4905, 5016, 12163, 27026, 1323, 22329, 5420, 692, 9987, 912, 27447, 24662, 281, 22373, 324, 520, 2580, 834, 974, 320, 2580, 834, 11927, 2580, 834, 622, 2580, 834, 333, 520, 2580, 834, 321, 520, 257, 16689, 27447, 24731, 912, 314, 454, 476, 22373, 622, 14824, 324, 520, 14824, 974, 320, 257, 16689, 476, 22373, 333, 520, 14824, 11927, 257, 16689, 476, 22373, 321, 520, 31116, 2639, 20701, 454, 5035, 8827, 24998, 2187, 825, 7711, 5035, 24709, 454, 825, 1219, 1895, 318, 534, 22329, 263, 743, 338, 267, 1193, 8217, 2187, 1038, 8173, 1038, 2433, 6943, 1193, 8217, 281, 12430, 318, 8368, 314, 1598, 2639, 1038, 2433, 337, 6943, 281, 12430, 318, 8368, 314, 30791, 318, 8368, 314, 1598, 27663, 1038, 8173, 1038, 546, 815, 31460, 1038, 585, 1193, 318, 538, 1193, 8217, 912, 2018, 546, 15630, 29239, 2891, 2668, 21860, 4433, 9285, 19304, 318, 24270, 32582, 1040, 6572, 4433, 2020, 1038, 2132, 1592, 5560, 269, 11161, 3890, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 521, 815, 8827, 4590, 825, 561, 272, 815, 22373, 324, 520, 2580, 834, 974, 320, 2580, 834, 11927, 2580, 834, 622, 2580, 834, 333, 520, 2580, 834, 321, 520, 31116, 825, 561, 273, 815, 22373, 322, 629, 2580, 834, 335, 1872, 2580, 834, 701, 328, 2580, 834, 333, 599, 2580, 834, 1258, 2580, 834, 571, 324, 2580, 834, 2114, 2580, 834, 5866, 2580, 834, 6996, 31116, 825, 561, 274, 815, 22373, 324, 520, 2580, 834, 974, 320, 2580, 834, 11927, 2580, 834, 622, 2580, 834, 333, 520, 2580, 834, 321, 520, 257, 6540, 825, 1820, 4433, 3052, 4981, 318, 534, 22329, 10857, 272, 1070, 521, 3052, 4981, 318, 534, 22329, 10857, 273, 1070, 521, 3052, 4981, 318, 534, 22329, 10857, 274, 1070, 694, 335, 6889, 315, 333, 14826, 5602, 0, 692, 258, 1490, 1393, 3196, 454, 258, 672, 1219, 3568, 291, 340, 12393, 4311, 267, 15358, 281, 1412, 8266, 27776, 316, 10807, 9847, 1412, 321, 944, 12466, 258, 1363, 952, 711, 15358, 281, 2132, 8771, 692, 258, 1363, 10917, 815, 11713, 258, 1363, 585, 562, 538, 15358, 912, 258, 17264, 952, 562, 711, 538, 10917, 281, 10917, 6910, 3799, 994, 258, 17264, 3116, 281, 2132, 6936, 692, 258, 1363, 2132, 8771, 692, 258, 22388, 454, 258, 672, 1219, 3568, 291, 340, 12393, 4311, 267, 15358, 2187, 258, 1363, 952, 711, 15358, 281, 2132, 8771, 692, 258, 1363 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1031, 519, 1034, 2413, 2553, 540, 968, 332, 7394, 3797, 2223, 799, 5059, 593, 1964, 267, 1434, 2732, 267, 28876, 267, 3635, 267, 543, 2238, 547, 31818, 519, 2247, 267, 971, 607, 12202, 269, 634, 3461, 3356, 5359, 585, 5617, 4582, 826, 9255, 1282, 6307, 779, 3251, 1397, 602, 1282, 1200, 1101, 1906, 3275, 15335, 267, 1352, 8604, 547, 2087, 7494, 543, 729, 835, 540, 519, 1655, 2550, 519, 32388, 528, 267, 3220, 269, 9400, 808, 269, 4793, 1562, 517, 267, 2479, 1185, 269, 901, 782, 4957, 538, 5147, 267, 950, 6307, 2366, 513, 4484, 547, 1200, 3659, 3733, 571, 17659, 6202, 543, 4280, 1200, 547, 2097, 3643, 547, 948, 5150, 1200, 5305, 563, 7069, 571, 17659, 6202, 729, 606, 20552, 626, 267, 15594, 267, 543, 3592, 606, 18607, 269, 2701, 5293, 519, 13325, 3046, 981, 609, 1164, 26549, 538, 476, 5908, 280, 267, 855, 729, 17379, 1200, 12689, 1317, 1352, 729, 513, 9310, 4807, 9789, 24117, 1373, 1352, 729, 968, 8974, 4579, 892, 609, 1200, 9393, 607, 1010, 23947, 267, 543, 4061, 1223, 711, 4283, 883, 1022, 3656, 11731, 607, 606, 18607, 269, 634, 13325, 10966, 7040, 543, 772, 2529, 269, 10966, 7040, 1312, 909, 18988, 519, 3375, 547, 20912, 17659, 6202, 1200, 12689, 269, 5502, 540, 8026, 1876, 267, 1352, 8547, 543, 3370, 519, 9628, 13751, 5240, 267, 799, 5555, 2968, 519, 1034, 4922, 1224, 3656, 20394, 538, 3013, 269, 1635, 476, 6942, 276, 267, 3733, 571, 17659, 6202, 729, 513, 1134, 8153, 543, 9565, 4807, 538, 9628, 609, 1082, 3532, 2828, 563, 2690, 519, 1985, 1079, 3275, 267, 6307, 12493, 32427, 730, 513, 4729, 585, 5191, 538, 799, 3733, 571, 17659, 6202, 705, 569, 19443, 269, 769, 5181, 267, 6307, 729, 4847, 547, 4734, 519, 24846, 10740, 543, 2661, 609, 1200, 11078, 267, 10906, 29885, 267, 538, 11354, 7615, 267, 13325, 267, 4352, 1352, 729, 20248, 1869, 896, 2564, 8343, 543, 7917, 729, 1869, 1200, 5480, 22190, 31212, 11122, 1807, 269, 769, 4873, 476, 6942, 277, 267, 513, 1007, 9628, 21139, 10294, 1200, 521, 2033, 269, 2701, 5612, 2759, 782, 13218, 609, 1200, 5067, 7917, 267, 7247, 1352, 5156, 1185, 9505, 1200, 2476, 538, 1931, 547, 21102, 1200, 2724, 267, 543, 19679, 547, 513, 1582, 21553, 12723, 24815, 538, 2342, 269, 2701, 1705, 711, 3717, 547, 1200, 5067, 585, 519, 1985, 2947, 1296, 269, 6307, 8120, 547, 3013, 538, 476, 6642, 272, 267, 543, 5030, 1586, 609, 1200, 11078, 538, 11354, 7615, 269, 2701, 11028, 4290, 539, 609, 1200, 5067, 602, 1032, 267, 543, 759, 25390, 513, 3339, 2078, 609, 1864, 2394, 1200, 2669, 538, 476, 6642, 273, 563, 15371, 621, 568, 2009, 547, 13209, 6307, 12493, 2221, 676, 6313, 1200, 5022, 543, 1101, 11804, 6589, 540, 1200, 2589, 811, 982, 835, 4627, 1296, 3516, 267, 666, 581, 513, 16912, 696, 6681, 543, 21792, 3635, 267, 855, 930, 2564, 4966, 723, 6836, 269, 769, 476, 4350, 273, 267, 654, 6993, 269, 27213, 267, 513, 10629, 543, 2564, 1153, 7548, 267, 10294, 602, 6307, 1185, 513, 968, 332, 843, 267, 3929, 1202, 534, 640, 799, 3361, 1200, 547, 957, 607, 1281, 513, 2013, 540, 18624, 1765, 331, 1516, 4805, 267, 6306, 267, 543, 15603, 519, 1158, 1491, 1416, 540, 3294, 1848, 8616, 267, 1317, 1352, 729, 513, 6408, 540, 1200, 4664, 267, 27213, 11943, 267, 1352, 729, 711, 3743, 585, 1018, 1352, 1767, 610, 1705, 267, 610, 585, 1018, 1004, 1767, 827, 1200, 269, 769, 1010, 1433, 267, 11427, 269, 14062, 12493, 281, 589, 5530, 540, 4173, 22226, 543, 4173, 21478, 593, 14062, 12493, 267, 27213, 7150, 602, 547, 5963, 1174, 6307, 779, 1272, 543, 3527, 835, 1590, 1174, 1200, 7209, 267, 799, 3769, 1200, 6497, 1275, 267, 543, 1256, 1200, 2168, 1072, 269, 27213, 1705, 711, 3970, 5128, 547, 519, 4890, 8320, 540, 6307, 779, 968, 1231, 534, 640, 2223, 855, 849, 8947, 1200, 1920, 4282, 267, 1272, 1686, 267, 1272, 911, 30864, 267, 543, 2168, 1072, 547, 2491, 1018, 646, 11943, 547, 581, 606, 3929, 267, 855, 711, 2790, 267, 1202, 534, 640, 563, 1103, 5130, 476, 3707, 272, 267, 31924, 6276, 589, 269, 26883, 1088, 267, 772, 2529, 269, 8136, 6481, 17620, 267, 519, 8783, 31897, 693, 10783, 667, 1460, 267, 1715, 14948, 267, 543, 2663, 29805, 519, 968, 1492, 17867, 15593, 6674, 29385, 892, 585, 1010, 960, 607, 513, 6309, 514, 6048, 267, 10294, 538, 1010, 1378, 2013, 1353, 602, 6307, 779, 2013, 729, 2352, 547, 13209, 267, 607, 621, 729, 968, 516, 10968, 609, 1696, 8344, 2188, 267, 4881, 519, 13708, 583, 689, 22787, 12889, 547, 8801, 2713, 2175, 543, 635, 2364, 908, 8194, 1848, 26883, 1088, 267, 538, 606, 2376, 3370, 538, 519, 5369, 12278, 22588, 569, 267, 1336, 2618, 5328, 2589, 540, 26390, 5209, 267, 1642, 16272, 267, 9810, 267, 4965, 267, 29047, 15752, 267, 543, 8942, 267, 2093, 540, 20655, 267, 543, 856, 10767, 7370, 540, 29338, 267, 30270, 267, 543, 936, 13808, 269, 3571, 5868, 729, 602, 6307, 729, 513, 6408, 540, 26043, 267, 4352, 646, 7150, 602, 20560, 267, 968, 528, 693, 2547, 606, 2048, 788, 850, 10364, 6697, 10086, 892, 729, 2009, 269, 1261, 12199, 856, 2618, 821, 1755, 3974, 267, 812, 545, 31398, 4809, 2618, 2670, 267, 543, 18624, 563, 1103, 476, 3422, 277, 267, 31897, 3627, 631, 269, 2672, 732, 345, 5206, 538, 519, 1977, 4750, 540, 24741, 602, 6307, 1185, 513, 15400, 7209, 4524, 602, 30192, 538, 476, 6942, 276, 883, 2407, 1532, 31500, 31510, 1355, 2618, 2670, 609, 812, 545, 267, 11634, 15617, 545, 267, 543, 1594, 1081, 531, 2934, 269, 968, 2467, 568, 2370, 8969, 602, 1352, 1131, 581, 8149, 676, 1022, 5480, 2221, 2223, 2672, 732, 345, 5206, 269, 968, 9515, 729, 5693, 513, 8594, 547, 9887, 543, 1866, 1848, 589, 476, 1960, 280, 2376, 13886, 968, 27746, 12493, 779, 15937, 29520, 281, 589, 6481, 543, 8466, 1234, 1952, 26150, 2223, 538, 519, 4750, 540, 519, 3778, 540, 6925, 543, 20466, 7070, 676, 7439, 6975, 670, 15077, 577, 1817, 333, 543, 7917, 717, 269, 674, 15505, 2006, 10294, 6307, 779, 2589, 547, 581, 811, 2168, 982, 2790, 269, 1358, 7150, 602, 538, 519, 2063, 8717, 540, 1200, 1272, 6307, 12493, 11124, 7920, 1928, 689, 513, 11636, 543, 14603, 2068, 602, 729, 968, 332, 529, 5793, 2181, 1540, 607, 32408, 1848, 901, 6794, 568, 1634, 607, 9184, 525, 21053, 23653, 267, 513, 1106, 540, 5312, 11983, 10260, 2068, 267, 799, 789, 3494, 1131, 2272, 585, 782, 540, 6307, 779, 12214, 2589, 1282, 519, 476, 6942, 271, 338, 563, 8170, 1576, 609, 1007, 2963, 2501, 5368, 614, 13133, 566, 267, 543, 519, 2963, 594, 1305, 8521, 538, 634, 8496, 1145, 540, 6307, 12493, 6035, 513, 1007, 4316, 585, 2417, 1353, 269, 769, 519, 30569, 547, 519, 1433, 267, 31897, 6276, 590, 269, 645, 6412, 8815, 609, 1250, 2482, 2006, 779, 5868, 602, 6307, 12493, 1034, 2693, 11124, 689, 812, 545, 31398, 4809, 4576, 267, 610, 1018, 2221, 568, 1572, 17299, 4524, 269, 968, 310, 699, 1352, 9800, 2221, 267, 6307, 12493, 1131, 1869, 2154, 17867, 30674, 538, 519, 3068, 540, 519, 2589, 1352, 11124, 538, 476, 6942, 276, 2223, 645, 6412, 5206, 538, 1010, 2376, 267, 968, 763, 5369, 12278, 29520, 540, 6307, 12493, 267, 9232, 543, 1200, 1920, 1131, 13720, 519, 1482, 14196, 952, 1352, 17379, 621, 3034, 18744, 1369, 519, 2250, 8938, 1296, 610, 865, 267, 12206, 6659, 2055, 3823, 519, 18144, 3297, 6307, 12493, 779, 7029, 267, 543, 519, 7440, 607, 547, 2436, 1352, 729, 521, 2033, 610, 1202, 2033, 693, 519, 942, 269, 2290, 2427, 540, 519, 3140, 4661, 6811, 602, 6307, 729, 519, 9985, 521, 2033, 6408, 540, 513, 5256, 669, 879, 9109, 626, 2486, 267, 543, 602, 1352, 729, 9505, 2476, 676, 513, 4411, 267, 3284, 24602, 5067, 945, 4941, 547, 7759, 5128, 540, 1200, 19849, 23035, 4527, 543, 21102, 1200, 2724, 269, 634, 824, 2427, 540, 519, 4661, 568, 602, 6307, 12493, 5963, 729, 1202, 2033, 543, 602, 1200, 5067, 7917, 1705, 1018, 646, 2219, 729, 2556, 547, 1832, 1200, 2922, 689, 9887, 543, 1866, 269, 21452, 267, 693, 519, 942, 540, 1200, 7029, 267, 519, 4743, 1472, 519, 2197, 729, 5176, 8471, 602, 6307, 779, 2736, 609, 7254, 640, 729, 17149, 267, 602, 1352, 964, 5703, 29059, 811, 982, 18594, 675, 267, 543, 602, 7917, 1185, 9244, 543, 20617, 2944, 519, 1318, 3364, 538, 13076, 609, 1010, 10279, 607, 1200, 5067, 563, 1607, 1390, 29373, 540, 6644, 593, 6307, 779, 2790, 13542, 8329, 547, 519, 11235, 29677, 585, 1200, 7508, 5022, 547, 3733, 571, 17659, 6202, 1765, 706, 321, 5523, 676, 12206, 607, 1200, 968, 331, 739, 1202, 534, 640, 5022, 1848, 1358, 941, 2854, 538, 519, 3735, 476, 5908, 271, 338, 543, 476, 6942, 271, 338, 609, 519, 5354, 540, 873, 1373, 689, 6307, 779, 942, 3330, 5617, 4582, 826, 9255, 5842, 527, 10740, 538, 476, 6942, 276, 269, 634, 1390, 2243, 827, 713, 19359, 729, 1018, 267, 952, 4376, 267, 621, 1223, 6961, 269, 9894, 519, 5022, 1397, 513, 14834, 3993, 543, 15962, 5067, 7092, 998, 513, 15779, 1995, 286, 2201, 519, 824, 1688, 267, 1705, 789, 6961, 602, 513, 1395, 560, 9317, 543, 6067, 9037, 5067, 1185, 15748, 513, 968, 330, 30865, 5622, 5480, 892, 547, 9505, 1010, 3993, 2476, 543, 21102, 1200, 2724, 286, 1452, 5022, 941, 1279, 1634, 547, 12206, 547, 2291, 267, 855, 1223, 711, 581, 1336, 269, 6034, 3646, 538, 519, 476, 4350, 271, 338, 267, 476, 4198, 271, 338, 267, 543, 476, 3192, 271, 338, 782, 8959, 269, 4256, 1714, 639, 4369, 7140, 856, 547, 581, 1317, 267, 1101, 267, 789, 941, 6854, 4357, 538, 519, 17659, 6202, 1920, 2394, 3733, 571, 4477, 1067, 623, 761, 577, 731, 1765, 7069, 571, 17659, 6202, 779, 6264, 323, 5922, 1765, 342, 4710, 513, 1433, 827, 873, 543, 17956, 513, 13629, 4579, 269, 3973, 267, 1354, 621, 729, 3370, 267, 7917, 25595, 12493, 779, 30612, 267, 6307, 4498, 17427, 12493, 267, 729, 5483, 540, 519, 1433, 269, 2701, 844, 14414, 519, 13629, 4579, 267, 11751, 519, 5022, 543, 519, 10002, 21242, 12377, 689, 3733, 571, 623, 761, 577, 731, 267, 543, 26793, 3388, 563, 296, 1336, 891, 5022, 1310, 513, 2947, 18881, 3406, 602, 3459, 538, 7917, 12493, 779, 4574, 4867, 4371, 693, 670, 843, 2940, 267, 1010, 1920, 1753, 538, 25480, 267, 28599, 267, 1631, 513, 5748, 24507, 8978, 3135, 267, 543, 8694, 538, 606, 1140, 545, 538, 15930, 269, 6307, 779, 7508, 5022, 543, 3733, 571, 623, 761, 577, 731, 779, 10002, 21242, 12377, 941, 20114, 538, 513, 9252, 518, 17657, 11262, 676, 519, 1453, 540, 7917, 12493, 779, 4357, 18607, 269, 1452, 5022, 267, 17364, 519, 1296, 476, 6942, 273, 1700, 6942, 280, 267, 941, 2407, 540, 1344, 593, 6307, 779, 2790, 543, 2168, 1072, 267, 1200, 4606, 827, 1200, 5067, 267, 1200, 1544, 547, 9101, 689, 519, 24846, 10740, 267, 543, 1200, 1272, 538, 2342, 538, 519, 3735, 476, 6942, 271, 338, 827, 799, 5393, 2370, 729, 1634, 269, 634, 5022, 849, 18674, 519, 2856, 602, 6307, 12493, 1705, 723, 17916, 2790, 2042, 543, 7917, 12493, 729, 538, 1249, 513, 15962, 5067, 3274, 3843, 547, 798, 1010, 2083, 658, 10279, 563, 8601, 4466, 713, 21461, 540, 5022, 267, 789, 1869, 941, 711, 782, 540, 6307, 779, 7508, 5022, 547, 3733, 571, 17659, 6202, 269, 769, 1200, 10002, 21242, 12377, 267, 3733, 571, 623, 761, 577, 731, 5206, 602, 1352, 1185, 13977, 26690, 5022, 1063, 1200, 20516, 543, 6307, 12493, 267, 855, 1152, 8938, 19317, 941, 1336, 538, 519, 17657, 269, 4014, 623, 761, 577, 731, 20926, 1034, 540, 519, 5022, 538, 1200, 15896, 538, 1200, 1433, 267, 1352, 1705, 711, 1331, 873, 782, 269, 634, 2601, 267, 1352, 5206, 267, 729, 602, 1352, 5433, 519, 2663, 5022, 267, 2854, 1310, 476, 6942, 279, 267, 3773, 4986, 1713, 547, 519, 3140, 2594, 269, 968, 5445, 616, 6653, 267, 10004, 1399, 5022, 540, 1200, 12599, 543, 1200, 2828, 2223, 623, 761, 577, 731, 5206, 269, 968, 1103, 9039, 540, 873, 1281, 1352, 2446, 519, 12457, 2395, 540, 519, 2250, 543, 547, 15476, 873, 1131, 267, 594, 1589, 267, 581, 538, 1410, 322, 20608, 533, 11538, 883, 6307, 25595, 12493, 779, 15982, 12602, 1848, 1924, 1018, 5949, 547, 519, 1964, 286, 5047, 267, 941, 972, 824, 5022, 3274, 796, 27665, 539, 585, 888, 763, 21777, 6307, 12493, 4484, 547, 581, 4362, 267, 2854, 547, 3733, 571, 17659 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2597, 2744, 543, 8377, 269, 634, 6286, 540, 713, 9756, 616, 1713, 543, 723, 2484, 23568, 4539, 585, 938, 2949, 1072, 543, 15325, 563, 20524, 2659, 11202, 547, 513, 7043, 518, 267, 2657, 1512, 5020, 2336, 12648, 938, 1863, 7688, 547, 1294, 875, 707, 6197, 3800, 909, 547, 519, 1158, 781, 13074, 2000, 1516, 2950, 543, 4309, 4274, 4388, 585, 513, 8902, 267, 3476, 1272, 563, 12648, 519, 13658, 454, 9989, 623, 1206, 323, 20531, 25667, 888, 22137, 723, 3254, 602, 2043, 609, 17971, 616, 693, 513, 2362, 1981, 540, 3384, 8377, 3379, 547, 1346, 1510, 17971, 269, 1809, 1018, 568, 519, 7744, 3297, 713, 4276, 286, 2290, 2009, 7778, 6013, 538, 519, 1950, 16799, 1063, 5626, 267, 12214, 267, 543, 8965, 2188, 563, 20329, 10999, 267, 17971, 666, 1291, 547, 3929, 11605, 267, 4965, 267, 543, 4160, 267, 799, 666, 9594, 14432, 12003, 6127, 971, 607, 3929, 4189, 543, 1426, 8213, 269, 3958, 267, 519, 5312, 2566, 4810, 676, 2043, 609, 17971, 666, 7519, 519, 7939, 540, 14031, 9762, 13764, 10399, 267, 3056, 547, 2799, 26351, 585, 1164, 23343, 12929, 3536, 269, 1452, 5626, 543, 17441, 2188, 5916, 666, 3565, 547, 2597, 2744, 543, 8377, 563, 1692, 623, 1206, 323, 2052, 18748, 2659, 2657, 543, 31701, 14423, 888, 303, 15056, 711, 1152, 5540, 938, 2790, 1072, 855, 666, 849, 723, 513, 7096, 1764, 593, 938, 2168, 1134, 5630, 543, 15325, 269, 3371, 616, 930, 1883, 2798, 547, 2015, 912, 268, 31292, 2657, 281, 3194, 814, 3254, 602, 2043, 609, 17971, 723, 513, 2362, 1981, 540, 3384, 9025, 3676, 971, 607, 13119, 267, 2295, 2068, 267, 543, 8482, 269, 1452, 2175, 666, 3648, 2569, 15325, 563, 268, 5450, 20326, 15136, 281, 17971, 814, 1044, 5532, 547, 606, 2799, 1981, 540, 10894, 4713, 267, 1519, 7378, 4187, 543, 1826, 476, 273, 3987, 269, 1452, 2175, 666, 2417, 22652, 8377, 543, 11874, 1764, 15325, 563, 268, 21210, 3590, 21619, 10818, 281, 18127, 2566, 2404, 609, 17971, 666, 14020, 519, 4761, 1062, 267, 1818, 2043, 811, 11630, 547, 5563, 267, 5312, 6553, 267, 543, 16991, 3676, 267, 799, 666, 782, 1860, 15325, 563, 268, 4317, 1772, 15684, 281, 17971, 666, 1291, 547, 1514, 15639, 543, 10072, 267, 799, 666, 723, 17672, 2360, 593, 2790, 1072, 543, 2949, 1134, 5630, 269, 16200, 1514, 4296, 616, 2404, 609, 2799, 15325, 563, 8256, 18790, 891, 2188, 267, 621, 3587, 10423, 602, 17971, 267, 8377, 267, 543, 15325, 616, 10562, 538, 513, 1950, 1357, 540, 2014, 543, 1198, 269, 1635, 1620, 519, 2078, 1063, 891, 2188, 267, 649, 666, 1732, 2232, 519, 5817, 2152, 543, 2936, 2994, 602, 3895, 1312, 2168, 543, 2790, 1134, 5630, 563, 24718, 31701, 14423, 676, 772, 2529, 269, 2276, 454, 1103, 519, 28543, 6363, 677, 29247, 5450, 549, 14658, 888, 20524, 875, 938, 5969, 12967, 2564, 2259, 10597, 15325, 269, 23618, 12110, 1296, 538, 4434, 267, 2708, 707, 15466, 2085, 267, 543, 30082, 6895, 2629, 10832, 547, 2061, 2101, 2152, 563, 763, 1239, 4843, 593, 14438, 3466, 2501, 689, 18200, 1275, 3820, 267, 513, 3810, 18019, 3760, 602, 2488, 3102, 15295, 1239, 593, 9019, 3928, 5001, 269, 898, 779, 513, 10319, 1788, 540, 15197, 1382, 5238, 971, 607, 519, 4972, 540, 5915, 2762, 693, 519, 2160, 540, 4993, 267, 20588, 282, 519, 7665, 23851, 4659, 585, 5915, 4919, 3194, 282, 543, 5442, 3633, 1107, 3943, 4659, 585, 5915, 4919, 5525, 563, 300, 677, 1275, 3820, 779, 14449, 616, 11967, 11451, 676, 3173, 543, 3609, 15670, 1813, 547, 741, 11826, 1382, 2409, 543, 7029, 547, 7834, 543, 5683, 4808, 269, 1306, 971, 267, 3988, 666, 581, 8746, 602, 938, 1867, 3091, 5730, 4030, 883, 519, 14438, 3466, 20483, 676, 22265, 1382, 269, 0, 763, 5380, 649, 10536, 607, 1453, 827, 6000, 607, 2043, 267, 827, 519, 1158, 267, 543, 1256, 827, 2696, 267, 1831, 4978, 602, 6882, 543, 3391, 519, 5079, 649, 1118, 607, 4079, 269, 2368, 540, 891, 4978, 616, 5363, 269, 11524, 616, 711, 269, 769, 1249, 267, 1082, 540, 519, 9465, 649, 7237, 538, 2937, 1272, 616, 3361, 676, 891, 12086, 563, 1103, 634, 23452, 3203, 540, 15154, 267, 3220, 29484, 715, 539, 2917, 2829, 602, 968, 11365, 12086, 666, 2014, 1256, 519, 1034, 6662, 540, 1239, 547, 711, 581, 4607, 538, 513, 11207, 4977, 1259, 269, 769, 2665, 540, 4057, 3375, 6194, 267, 621, 568, 519, 12086, 267, 2864, 982, 4570, 1344, 2959, 267, 3246, 519, 1239, 3034, 763, 6835, 602, 1453, 4309, 267, 2901, 2047, 998, 1913, 610, 18549, 998, 7180, 543, 4664, 267, 3565, 547, 519, 5250, 540, 513, 1978, 5133, 593, 1272, 267, 799, 6257, 875, 1453, 1294, 2933, 267, 519, 1158, 1472, 873, 267, 543, 2696, 269, 1879, 7368, 543, 10483, 676, 4664, 267, 891, 6835, 1831, 606, 7533, 851, 540, 513, 1126, 779, 1259, 540, 3206, 267, 4758, 4473, 547, 24040, 3270, 543, 2123, 4978, 602, 1831, 4909, 547, 875, 513, 1268, 17358, 543, 25998, 609, 519, 1158, 267, 899, 22225, 538, 741, 2790, 2497, 563, 306, 611, 1582, 268, 995, 325, 3739, 16322, 2886, 454, 763, 1523, 540, 1582, 268, 995, 325, 3739, 16322, 2886, 2337, 721, 547, 1174, 875, 606, 3355, 3661, 666, 1291, 547, 19326, 602, 18549, 19472, 543, 12927, 602, 3661, 269, 634, 2247, 5654, 585, 2963, 547, 1489, 1018, 621, 11099, 547, 581, 3020, 267, 1256, 952, 519, 3661, 568, 711, 1759, 538, 4641, 269, 1280, 1383, 267, 1453, 949, 2253, 547, 3494, 602, 789, 616, 24835, 762, 540, 4052, 2238, 952, 789, 616, 5143, 267, 2047, 610, 18549, 267, 602, 789, 3668, 4052, 1983, 1765, 1721, 1383, 267, 952, 789, 2736, 513, 4837, 543, 4309, 2942, 6547, 971, 607, 968, 32452, 267, 596, 2461, 804, 636, 1910, 17373, 610, 1205, 519, 14980, 2126, 269, 1358, 949, 2097, 547, 1294, 1022, 2147, 10071, 607, 21533, 540, 741, 13546, 696, 3363, 269, 4634, 952, 789, 616, 3811, 538, 824, 4052, 2238, 630, 16269, 666, 11547, 8286, 1510, 8840, 873, 267, 1628, 1919, 609, 741, 3946, 610, 1118, 4190, 5070, 4751, 956, 267, 3092, 13776, 1453, 786, 4043, 547, 1524, 2452, 891, 10781, 267, 3206, 602, 5310, 968, 1415, 821, 666, 798, 621, 892, 610, 602, 968, 527, 779, 711, 602, 2182, 1848, 901, 1826, 540, 3206, 5012, 873, 547, 2057, 3255, 602, 1131, 1450, 873, 547, 1020, 741, 4052, 1983, 267, 1317, 519, 3355, 3661, 6411, 607, 513, 11064, 547, 3843, 543, 1565, 269, 1635, 9319, 891, 3255, 267, 1453, 2965, 12927, 519, 3355, 3661, 267, 2870, 513, 4783, 538, 799, 4555, 543, 19326, 3049, 883, 1142, 824, 538, 513, 2942, 1259, 563, 763, 1259, 3237, 5968, 543, 9305, 547, 741, 1453, 267, 2523, 609, 2543, 547, 741, 9073, 543, 24379, 19326, 267, 814, 513, 1390, 3310, 593, 519, 5250, 540, 2790, 12086, 269, 1403, 606, 13347, 1126, 568, 4313, 539, 609, 10217, 610, 513, 10516, 267, 789, 786, 1451, 602, 8323, 543, 8788, 4096, 593, 5007, 2188, 543, 1570, 5418, 9778, 267, 513, 32739, 602, 666, 1291, 547, 12257, 5498, 22701, 538, 3347, 267, 6219, 6057, 610, 1279, 3856, 31952, 11661, 563, 14399, 991, 3354, 543, 10343, 543, 9305, 547, 741, 3237, 607, 1102, 718, 1043, 543, 782, 268, 3104, 532, 269, 14268, 616, 538, 1249, 741, 3354, 543, 621, 568, 1287, 7543, 585, 1453, 547, 2243, 873, 269, 4014, 789, 949, 3006, 1745, 4636, 539, 538, 741, 2078, 609, 741, 3237, 267, 1762, 1453, 4043, 547, 16620, 2933, 538, 606, 4674, 547, 2744, 741, 3237, 685, 3007, 267, 2648, 267, 543, 13170, 563, 14399, 945, 3668, 513, 5150, 13613, 949, 1020, 519, 3661, 602, 789, 616, 3983, 543, 796, 21754, 762, 269, 1358, 4043, 547, 1294, 8594, 1141, 972, 568, 9039, 543, 936, 516, 716, 547, 1978, 2352, 3871, 267, 799, 666, 1291, 547, 5571, 4655, 609, 1866, 267, 10728, 543, 9013, 7180, 267, 543, 11761, 540, 1582, 12635, 563, 288, 1126, 945, 568, 14156, 20495, 676, 11112, 3237, 949, 4612, 713, 607, 513, 8086, 540, 1010, 610, 1200, 1378, 1970, 1582, 2914, 2180, 269, 1403, 1453, 2769, 741, 991, 585, 3007, 538, 3858, 762, 610, 24568, 519, 2013, 540, 1360, 1762, 1453, 1765, 1652, 3858, 762, 2081, 543, 616, 16053, 267, 741, 3661, 602, 789, 616, 4502, 1652, 267, 602, 789, 798, 711, 2339, 267, 568, 18674, 269, 634, 4743, 540, 20420, 25040, 713, 8226, 267, 3056, 547, 606, 6418, 3661, 602, 789, 616, 711, 17709, 540, 2648, 610, 7071, 269, 26431, 267, 789, 4465, 1406, 1256, 1450, 2933, 547, 6432, 547, 741, 991, 547, 1921, 609, 1866, 267, 1317, 789, 2907, 3494, 602, 789, 616, 711, 17709, 267, 543, 789, 786, 3136, 547, 3343, 21533, 602, 25040, 713, 8226, 563, 2252, 789, 6414, 538, 741, 7287, 547, 1921, 267, 789, 786, 1413, 585, 782, 12204, 540, 2081, 547, 2744, 3007, 269, 2311, 1655, 789, 786, 581, 1360, 1073, 539, 1304, 267, 9670, 741, 3237, 609, 8799, 1919, 538, 519, 4126, 602, 789, 786, 1205, 513, 1273, 593, 519, 1394, 267, 610, 789, 786, 2161, 4986, 950, 789, 10990, 609, 873, 827, 1945, 269, 769, 3347, 609, 1453, 741, 2085, 267, 519, 3661, 602, 789, 1810, 1406, 2339, 949, 14377, 883, 968, 1278, 338, 616, 1611, 543, 1810, 1406, 899, 803, 267, 789, 1810, 1406, 1616, 547, 1404, 609, 803, 1848, 1635, 519, 942, 789, 3914, 15296, 267, 713, 5048, 786, 723, 2919, 883, 513, 6109, 6418, 3661, 602, 789, 616, 711, 1434, 2614, 267, 610, 602, 789, 991, 547, 960, 2182, 547, 6961, 741, 4502, 543, 581, 24019, 269, 2334, 779, 1946, 789, 786, 581, 26997, 547, 1491, 4220, 267, 786, 3180, 1394, 267, 543, 786, 3970, 741, 9909, 563, 2691, 3237, 616, 22350, 9013, 267, 789, 1118, 741, 1453, 1745, 1379, 1652, 269, 14268, 945, 616, 19870, 1235, 666, 1118, 741, 1453, 1745, 896, 2604, 547, 5225, 873, 269, 5753, 1287, 1745, 602, 789, 616, 17528, 547, 5225, 741, 3237, 267, 543, 713, 5555, 5012, 547, 4606, 540, 1379, 16531, 543, 29997, 566, 269, 8682, 2914, 2180, 568, 2404, 609, 519, 2702, 547, 2743, 15366, 6788, 563, 10214, 2241, 24616, 971, 607, 968, 10673, 1406, 3717, 8259, 4280, 2223, 610, 968, 6826, 17647, 3054, 17373, 950, 7368, 1510, 519, 2385, 1483, 2358, 1018, 568, 3297, 519, 1126, 779, 991, 547, 2307, 267, 3717, 610, 535, 1380, 267, 666, 21391, 519, 1126, 779, 1863, 4082, 269, 1306, 606, 2937, 267, 519, 1126, 949, 581, 26997, 547, 15597, 5968, 610, 547, 2769, 7772, 538, 513, 6422, 1259, 563, 23330, 908, 538, 971, 3270, 666, 31028, 513, 1126, 689, 519, 1582, 267, 741, 6499, 267, 2115, 610, 3675, 903, 269, 1358, 6336, 741, 7279, 267, 741, 5191, 547, 2769, 2933, 267, 547, 2263, 267, 543, 547, 3048, 622, 269, 901, 568, 519, 3902, 789, 2628, 585, 3843, 547, 2149, 741, 991, 585, 3354, 563, 1103, 2937, 1272, 267, 3625, 1137, 2049, 950, 6689, 4978, 616, 13934, 267, 1317, 519, 19326, 602, 13455, 721, 538, 6689, 1100, 3476, 4196, 721, 269, 589, 2241, 968, 10673, 1406, 2911, 547, 21046, 892, 602, 6870, 721, 607, 1453, 666, 2014, 7965, 950, 649, 2743, 1007, 1004, 269, 27801, 338, 602, 2899, 6870, 721, 1631, 26453, 582, 720, 721, 563, 763, 1292, 26453, 1774, 584, 454, 1103, 1931, 547, 2226, 513, 2631, 540, 4313, 543, 3106, 267, 1453, 949, 2119, 547, 1020, 1978, 2219, 3270, 267, 855, 19890, 972, 568, 513, 12402, 538, 1142, 540, 721, 547, 2226, 606, 6418, 10404, 602, 568, 10355, 538, 938, 12797, 269, 901, 6418, 10404, 568, 7683, 8384, 543, 29506, 2358, 938, 3527, 267, 2436, 789, 9305, 547, 6000, 267, 1866, 610, 6381, 269, 634, 6418, 10404, 568, 519, 5639, 602, 740, 3000, 8460, 721, 10792, 569, 585, 1169, 2370, 12161, 267, 602, 5932, 27105, 12194, 827, 519, 2104, 267, 602, 3172, 5809, 938, 8226, 540, 1981, 267, 602, 530, 1389, 721, 909, 538, 519, 1647, 540, 519, 3781, 609, 12194, 267, 543, 602, 32625, 519, 2942, 3344, 538, 3347, 609, 1866, 610, 538, 519, 6384, 540, 513, 1895, 563, 763, 6418, 10404, 666, 946, 6207, 267, 3109, 543, 3043, 3206, 281, 968, 2252, 594, 4769, 1406, 1205, 606, 589, 267, 594, 6557, 513, 17485, 518, 1848, 2107, 621, 949, 1524, 2452, 10781, 281, 968, 1692, 2097, 594, 4769, 1406, 917, 519, 2626, 547, 2243, 476, 1911, 630, 16838, 1498, 594, 3893, 519, 824, 476, 4200, 1318, 264, 9495, 2107, 621, 666, 1291, 721, 547, 4612, 1022, 5955, 610, 6085, 607, 1373, 6322, 2047, 693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 4568, 543, 513, 14278, 2100, 807, 540, 27640, 18352, 267, 13879, 693, 835, 1448, 8179, 948, 689, 513, 25164, 3315, 560, 282, 2705, 267, 950, 519, 2126, 17246, 1228, 1864, 547, 2328, 267, 646, 19679, 269, 3571, 1582, 2914, 2180, 267, 700, 1695, 337, 20147, 267, 968, 13195, 3808, 909, 7357, 538, 1010, 960, 892, 543, 18867, 538, 875, 19971, 267, 11051, 543, 2523, 13915, 15527, 547, 1018, 646, 3812, 269, 28214, 968, 321, 1638, 1221, 543, 19531, 730, 892, 676, 1866, 685, 6788, 267, 646, 15810, 5196, 873, 630, 29715, 528, 4432, 807, 20673, 534, 267, 1034, 16113, 267, 610, 1010, 1279, 1606, 4428, 1359, 8665, 10748, 9445, 8381, 264, 968, 20130, 1378, 5837, 5821, 543, 5828, 621, 883, 513, 2186, 540, 10828, 540, 20729, 531, 1848, 700, 1695, 337, 6487, 1010, 1641, 703, 2954, 543, 28420, 1864, 609, 1579, 732, 26191, 8296, 269, 14301, 593, 5318, 31150, 2959, 543, 10002, 21242, 22251, 267, 607, 1134, 607, 11042, 267, 29946, 543, 14364, 1686, 267, 646, 535, 1662, 687, 513, 27789, 267, 678, 633, 1154, 2239, 563, 2467, 568, 1152, 835, 2262, 585, 713, 12092, 281, 24077, 563, 288, 1715, 3840, 518, 5856, 12116, 519, 9095, 540, 1200, 1272, 538, 519, 8086, 540, 6723, 18379, 582, 779, 5664, 332, 1105, 563, 1607, 24848, 516, 1765, 1410, 600, 1456, 2123, 1686, 998, 519, 30172, 540, 513, 13737, 960, 540, 1148, 1765, 4754, 581, 678, 1342, 1194, 609, 2244, 15183, 269, 1879, 621, 1568, 1134, 1765, 324, 3052, 1421, 21142, 8752, 779, 634, 10513, 543, 519, 7935, 5287, 630, 1001, 273, 28931, 1492, 2164, 666, 581, 14952, 748, 269, 30052, 15123, 1117, 856, 689, 1200, 1715, 3840, 518, 2376, 968, 29557, 332, 1105, 543, 2725, 2223, 28927, 630, 3080, 17828, 4303, 281, 634, 590, 2454, 540, 519, 1977, 11205, 3429, 267, 476, 1220, 278, 264, 1223, 723, 3274, 2854, 513, 10053, 12092, 540, 6307, 7788, 27213, 267, 945, 1131, 979, 593, 547, 2328, 930, 540, 519, 1034, 11972, 9089, 540, 519, 16972, 5736, 896, 1200, 4050, 2012, 269, 769, 1249, 267, 28927, 729, 8797, 711, 547, 522, 2466, 9887, 689, 713, 1650, 267, 607, 1200, 4606, 827, 519, 1390, 960, 543, 922, 4798, 540, 2021, 779, 5107, 267, 3347, 543, 1582, 1673, 601, 4288, 616, 2484, 811, 16367, 982, 513, 3046, 14141, 540, 5013, 1131, 723, 1044, 269, 28927, 4362, 519, 1433, 693, 476, 1704, 267, 513, 2565, 942, 950, 519, 1915, 540, 16910, 6139, 320, 7935, 5803, 267, 519, 8321, 1049, 16502, 7142, 547, 1016, 24503, 622, 1200, 9909, 267, 5963, 12038, 547, 1200, 269, 769, 930, 2081, 267, 621, 779, 2653, 547, 1294, 875, 28927, 779, 1272, 814, 17704, 1194, 891, 14070, 3197, 1352, 865, 8098, 2231, 267, 1256, 607, 1352, 28197, 930, 540, 519, 1482, 9073, 269, 898, 779, 2352, 711, 547, 23507, 519, 2631, 540, 4898, 602, 1352, 5170, 547, 1265, 538, 519, 3817, 540, 513, 3209, 811, 982, 513, 2540, 2025, 269, 968, 2005, 7569, 602, 649, 4283, 883, 519, 5133, 540, 824, 10010, 267, 2144, 2590, 3425, 11652, 5431, 602, 649, 267, 1932, 267, 786, 3006, 581, 10010, 267, 543, 949, 3006, 581, 2144, 2590, 267, 1256, 950, 649, 616, 693, 938, 1034, 818, 5766, 656, 543, 8746, 2223, 28927, 11339, 269, 968, 4517, 713, 568, 1946, 1169, 942, 594, 979, 1394, 547, 519, 3209, 594, 1745, 602, 1765, 6112, 594, 1522, 2661, 513, 2540, 1510, 6616, 607, 1454, 607, 1175, 513, 19625, 540, 922, 3817, 2303, 1765, 296, 949, 4126, 547, 581, 23762, 676, 1142, 20460, 1746, 3034, 288, 4686, 543, 7415, 12760, 540, 2553, 602, 14405, 1079, 2021, 1927, 2066, 942, 543, 2230, 563, 2304, 7376, 27180, 875, 649, 1118, 2495, 689, 1913, 593, 513, 2985, 563, 1103, 713, 13085, 31498, 600, 540, 6138, 267, 6530, 267, 5339, 3069, 543, 3308, 1148, 267, 12928, 641, 325, 12314, 1148, 8689, 543, 3382, 14704, 21780, 1564, 1495, 22679, 2231, 827, 519, 1950, 1184, 540, 2542, 269, 968, 24552, 616, 2500, 711, 1317, 540, 1018, 789, 4163, 538, 873, 2223, 11339, 519, 2278, 267, 968, 8117, 585, 741, 24353, 1761, 547, 12260, 519, 19017, 1995, 540, 519, 5467, 269, 9293, 2048, 935, 1555, 685, 10096, 267, 855, 267, 811, 1271, 267, 1913, 14984, 5573, 2495, 2507, 1848, 19536, 968, 339, 749, 721, 2984, 267, 543, 789, 849, 2995, 721, 875, 547, 1224, 891, 2984, 2223, 646, 11339, 269, 968, 763, 2278, 11414, 803, 875, 547, 4952, 267, 607, 1134, 607, 950, 547, 4952, 267, 543, 875, 1454, 1848, 10515, 13124, 11609, 609, 7851, 267, 546, 22751, 267, 1568, 540, 1148, 267, 10824, 689, 11609, 2835, 267, 27977, 267, 1433, 13544, 1115, 267, 1795, 13678, 3796, 540, 5931, 267, 11147, 267, 27386, 12400, 543, 513, 1906, 32398, 15833, 540, 7260, 6801, 267, 519, 1433, 28837, 519, 2856, 602, 2542, 568, 711, 513, 5276, 1184, 269, 4634, 952, 3988, 1246, 15654, 1913, 267, 789, 6451, 883, 2542, 8823, 267, 19240, 267, 19753, 21752, 267, 13821, 543, 6788, 269, 968, 288, 18308, 616, 1225, 2209, 540, 1995, 2223, 11339, 21780, 1564, 1495, 269, 968, 21953, 1100, 2339, 875, 6986, 519, 1239, 1305, 602, 4589, 1683, 547, 3988, 2507, 1348, 619, 685, 12058, 786, 3136, 538, 741, 11311, 7084, 281, 547, 5659, 267, 5496, 267, 543, 4990, 1848, 769, 476, 866, 5618, 267, 1990, 17965, 11271, 267, 519, 2278, 15109, 971, 3584, 607, 519, 2078, 540, 2542, 547, 942, 267, 5578, 267, 3308, 1035, 8462, 267, 14810, 267, 5348, 17561, 543, 3661, 269, 968, 763, 3487, 1299, 634, 19940, 892, 6799, 561, 16112, 569, 519, 2596, 2035, 540, 14165, 267, 609, 13151, 3307, 8847, 540, 1558, 7716, 344, 543, 861, 928, 7251, 28970, 269, 10801, 519, 1433, 267, 21780, 1564, 1495, 14405, 593, 1585, 5830, 267, 689, 654, 8636, 2102, 7322, 547, 26741, 325, 267, 24729, 560, 1195, 547, 30805, 267, 9253, 6807, 547, 2836, 341, 3626, 267, 547, 1489, 1010, 25195, 602, 968, 19723, 529, 574, 559, 3363, 568, 711, 1152, 513, 7301, 31561, 267, 855, 849, 606, 796, 520, 1555, 762, 3804, 269, 1924, 649, 2569, 269, 1656, 621, 568, 711, 1510, 27527, 602, 649, 2569, 269, 901, 568, 875, 649, 25370, 9150, 938, 1158, 3034, 300, 754, 1564, 1495, 993, 2952, 1140, 1622, 1010, 3804, 547, 3132, 513, 28031, 5652, 267, 4195, 543, 15587, 17175, 9066, 593, 519, 14393, 31397, 957, 540, 2542, 563, 1103, 713, 30780, 2854, 543, 7184, 5483, 1433, 267, 12832, 565, 5459, 630, 763, 717, 18782, 281, 12267, 540, 519, 2296, 267, 476, 1001, 272, 267, 3092, 13776, 513, 8284, 540, 6628, 779, 5980, 540, 4165, 1172, 2456, 267, 14155, 919, 519, 8129, 540, 25264, 779, 4012, 3563, 658, 3134, 923, 267, 519, 594, 2993, 611, 543, 519, 31660, 269, 14803, 5224, 1996, 519, 968, 9690, 31249, 344, 892, 602, 1312, 2835, 7153, 689, 519, 21632, 2540, 645, 5861, 1421, 519, 2278, 733, 1742, 602, 25264, 859, 10280, 513, 1454, 4505, 1974, 281, 27705, 6520, 20195, 14901, 267, 1472, 476, 1220, 271, 645, 5861, 1421, 950, 5033, 514, 558, 19631, 21847, 540, 519, 7187, 2848, 653, 525, 21947, 519, 811, 10427, 2528, 540, 519, 9456, 11335, 269, 769, 519, 5087, 267, 30380, 14228, 338, 2261, 7596, 539, 267, 1247, 538, 519, 5045, 267, 22892, 9635, 8719, 533, 5417, 1194, 666, 3996, 267, 7175, 2367, 547, 2951, 20991, 543, 5488, 267, 1102, 6748, 519, 2528, 609, 1007, 2093, 543, 5370, 269, 968, 1607, 9241, 10069, 1242, 1158, 2223, 11339, 12832, 565, 5459, 267, 968, 529, 519, 5870, 540, 4529, 602, 25264, 5638, 1848, 12832, 565, 5459, 12034, 519, 594, 2993, 611, 607, 24794, 8826, 267, 968, 320, 6648, 827, 12556, 543, 519, 7569, 602, 12556, 12662, 593, 1367, 2729, 267, 519, 538, 525, 5115, 1464, 540, 2669, 543, 540, 519, 2250, 2223, 1247, 519, 31660, 267, 968, 1721, 782, 922, 991, 547, 2132, 1753, 267, 9846, 9162, 609, 519, 3091, 540, 513, 1007, 1747, 543, 513, 1007, 1272, 267, 513, 4960, 547, 23590, 1018, 596, 723, 1044, 2016, 2507, 1848, 14301, 2390, 15456, 8906, 543, 751, 2084, 856, 552, 1399, 332, 1670, 16060, 267, 12832, 565, 5459, 9060, 538, 25264, 779, 960, 968, 3240, 2195, 540, 519, 5169, 540, 5259, 9637, 892, 602, 519, 4639, 814, 15110, 269, 1261, 759, 1235, 519, 2856, 602, 25264, 8992, 968, 1492, 2631, 602, 5126, 29084, 538, 2123, 20947, 1848, 5502, 267, 25264, 13514, 16637, 550, 2055, 281, 968, 314, 310, 316, 1002, 6927, 811, 267, 519, 1367, 610, 519, 2146, 267, 519, 2749, 610, 519, 5869, 286, 1548, 568, 1272, 267, 1945, 540, 2479, 331, 8463, 1871, 610, 513, 23644, 543, 27945, 9048, 23428, 9495, 769, 513, 7122, 20948, 676, 1698, 878, 1190, 10971, 267, 11339, 12832, 565, 5459, 267, 25264, 3091, 3988, 968, 20130, 4250, 1652, 7237, 609, 519, 23487, 995, 267, 1010, 2648, 540, 2648, 543, 23998, 540, 2669, 267, 519, 22406, 4336, 540, 1010, 9784, 267, 1010, 1648, 543, 21386, 267, 1010, 4187, 547, 19911, 28101, 2507, 3034, 301, 545, 565, 5459, 779, 3303, 1243, 3408, 32514, 919, 938, 1378, 30170, 2250, 563, 17556, 23702, 630, 763, 5004, 19088, 281, 4208, 519, 20226, 5901, 15775, 621, 654, 3994, 267, 476, 1220, 280, 267, 3092, 4700, 20205, 513, 11579, 7992, 1686, 540, 606, 1977, 7169, 711, 2943, 8737, 543, 513, 28817, 15260, 1068, 542, 540, 519, 1379, 540, 2093, 796, 20129, 676, 519, 695, 871, 956, 540, 22530, 819, 563, 300, 2045, 592, 3585, 23064, 543, 5483, 676, 25412, 2144, 644, 819, 267, 519, 1433, 568, 513, 18512, 12225, 1834, 540, 519, 1296, 3056, 909, 547, 519, 19142, 540, 519, 16672, 540, 14412, 267, 2523, 29810, 585, 24223, 519, 5667, 2426, 7418, 630, 514, 2262, 543, 632, 539, 264, 540, 971, 12316, 5515, 607, 6599, 534, 19395, 543, 7338, 8479, 269, 898, 568, 849, 606, 8098, 4275, 29087, 561, 16112, 5619, 540, 9097, 10952, 2219, 593, 519, 2470, 540, 812, 543, 519, 26355, 267, 513, 13057, 6240, 16135, 538, 2601, 543, 10299, 689, 29980, 32203, 3842, 519, 10564, 13198, 4038, 3780, 267, 2417, 2919, 676, 519, 1390, 10952, 8186, 540, 519, 476, 1704, 628, 2540, 543, 17947, 676, 519, 5853, 532, 12429, 338, 269, 26791, 781, 4390, 547, 11904, 3768, 559, 3176, 519, 1950, 18801, 725, 540, 891, 17024, 16657, 338, 593, 519, 2985, 267, 711, 5976, 9227, 519, 17573, 22994, 3780, 14816, 540, 1965, 582, 518, 3821, 269, 634, 2278, 1327, 919, 891, 2093, 538, 519, 10636, 13454, 267, 632, 626, 8129, 540, 519, 6243, 267, 609, 513, 1445, 593, 1351, 335, 648, 531, 4641, 267, 711, 5289, 13655, 269, 769, 3257, 865, 267, 646, 8761, 519, 3020, 543, 11972, 4644, 540, 519, 1977, 4603, 281, 711, 8806, 607, 513, 27693, 1996, 606, 11440, 16313, 267, 855, 1996, 519, 2518, 3914, 543, 26568, 11805, 823, 540, 16750, 4984, 269, 26791, 3947, 519, 5187, 2065, 968, 21720, 3909, 9637, 892, 543, 1454, 16912, 539, 7326, 513, 4023, 6217, 267, 1287, 23542, 8460, 873, 19039, 569, 267, 1498, 711, 14962, 532, 1018, 568, 3730, 538, 5132, 269, 1635, 5702, 7421, 519, 12591, 540, 16962, 267, 8479, 267, 15284, 267, 10266, 324, 1696, 620, 1421, 646, 844, 10449, 519, 1642, 4288, 602, 3013, 729, 3964, 607, 513, 968, 22146, 892, 4182, 563, 1103, 3413, 1800, 513, 4195, 5133, 593, 519, 2352, 855, 17938, 1791, 908, 4332, 540, 713, 2197, 267, 26791, 2982, 602, 519, 1419, 21603, 569, 29144, 1913, 540, 519, 16672, 540, 14412, 616, 1256, 811, 7096, 982, 789, 2408, 563, 288, 1713, 31272, 26150, 540, 513, 2686, 12835, 543, 2629, 26259, 540, 2413, 5159, 267, 2523, 3979, 12677, 5159, 563, 20091, 3703, 19784, 543, 14787, 6519, 779, 2272, 540, 519, 9058, 1272, 540, 9628, 23899, 10404, 267, 29787, 543, 23031, 14161, 11709, 966, 3663, 1084, 630, 6642, 271, 1700, 3422, 275, 1070, 835, 568, 13351, 676, 875, 646, 547, 6150, 936, 1082, 5756, 896, 513, 1360, 26752, 5182, 269, 1261, 1185, 711, 1152, 519, 1434, 9939, 547, 581, 538, 519, 1318, 1747, 693, 519, 1318, 942, 1765, 6124, 3840, 4975, 1282, 519, 27227, 6520, 28559, 849, 519, 1095, 7220, 547, 9787, 519, 4644, 540, 713, 2413, 626, 12835, 16438, 11047, 585, 1977, 2528, 269, 1306, 513, 9628, 30497, 11356, 2006, 882, 11343, 547, 1715, 3840, 267, 11709, 966, 3663, 1084, 2759, 1010, 4760, 2065, 4522, 593, 2575, 9880, 1765, 324, 3052, 1421, 8720, 9400, 18135, 1380, 685, 25761, 6428, 727, 630, 611, 2194, 539, 689, 30546, 8187, 324, 779, 1404, 264, 693, 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 ]
[ 1465, 1472, 707, 1257, 269, 7102, 2362, 543, 707, 3758, 666, 1831, 11376, 730, 543, 2352, 547, 4383, 267, 1820, 267, 610, 14202, 270, 16942, 547, 513, 7817, 563, 288, 2854, 8642, 630, 821, 2469, 883, 513, 6478, 3561, 264, 568, 21092, 547, 3514, 9985, 1369, 519, 19114, 269, 1403, 519, 16674, 303, 23403, 476, 272, 10759, 19114, 1287, 602, 568, 519, 2985, 2450, 267, 14263, 476, 272, 10759, 585, 519, 1318, 14345, 543, 1776, 476, 272, 10759, 585, 519, 2451, 1818, 621, 476, 277, 269, 276, 6279, 5021, 8700, 585, 606, 476, 279, 269, 276, 9943, 1556, 2985, 269, 634, 4463, 568, 519, 1482, 1107, 476, 1556, 6279, 14263, 476, 272, 10759, 585, 519, 1283, 543, 476, 272, 585, 519, 5377, 543, 513, 2370, 3787, 540, 2230, 585, 519, 2962, 1309, 1632, 610, 824, 14266, 17609, 610, 9625, 279, 269, 4037, 6279, 585, 5021, 4463, 563, 2304, 610, 1023, 13472, 630, 821, 2469, 883, 513, 17948, 19809, 264, 568, 21092, 547, 3514, 513, 13472, 267, 799, 1472, 519, 1158, 568, 476, 1015, 6279, 676, 476, 278, 269, 276, 6279, 269, 1284, 4363, 3384, 1346, 12449, 2901, 7357, 538, 17948, 267, 8164, 2009, 267, 610, 547, 1628, 519, 13472, 538, 1776, 12449, 3301, 10189, 593, 519, 3169, 3239, 13472, 4282, 865, 596, 666, 7157, 18783, 19437, 563, 276, 269, 2142, 4325, 9037, 454, 22818, 519, 1034, 1271, 3364, 538, 18747, 267, 1256, 811, 1271, 982, 3478, 621, 3501, 267, 568, 3478, 621, 2944, 593, 942, 269, 1411, 616, 1419, 896, 606, 3665, 2179, 540, 2604, 547, 9096, 519, 11556, 3533, 865, 596, 1616, 547, 946, 519, 2934, 538, 6478, 630, 528, 824, 2694, 540, 519, 9049, 8433, 2672, 924, 264, 547, 1711, 4190, 6054, 267, 3728, 563, 8196, 30246, 10569, 1107, 782, 1346, 3710, 2987, 4441, 971, 607, 5299, 267, 13594, 267, 543, 3768, 334, 269, 3973, 5581, 707, 1378, 968, 30022, 32368, 1848, 1452, 616, 899, 2110, 2759, 10569, 855, 3593, 20452, 267, 666, 581, 13615, 547, 6163, 267, 543, 666, 581, 1336, 896, 707, 968, 9556, 1518, 892, 538, 707, 26505, 13972, 4216, 269, 16797, 10569, 585, 12981, 610, 3527, 602, 616, 711, 6163, 630, 7945, 607, 29780, 513, 3349, 610, 513, 1257, 4216, 264, 666, 849, 581, 8655, 543, 616, 4092, 2282, 519, 1907, 8663, 1305, 909, 630, 18528, 5166, 593, 1114, 8747, 540, 6478, 1916, 8620, 707, 1378, 1907, 8663, 256, 1403, 596, 798, 711, 899, 1210, 2656, 10569, 1287, 1711, 707, 1378, 1907, 8663, 543, 1175, 4945, 593, 519, 24069, 593, 602, 1907, 8663, 2864, 982, 2348, 547, 6330, 6749, 1524, 27487, 563, 763, 4324, 540, 891, 2553, 568, 606, 2333, 538, 11007, 543, 4398, 269, 1403, 3025, 593, 707, 2319, 6487, 602, 519, 2656, 1883, 547, 7696, 513, 4605, 568, 11632, 12435, 266, 279, 543, 621, 568, 10710, 593, 1169, 3684, 538, 707, 5604, 1287, 596, 616, 2965, 9494, 942, 543, 2870, 10956, 762, 3157, 563, 21547, 4592, 616, 1776, 1390, 1259, 547, 3432, 909, 3044, 3527, 269, 1809, 581, 2264, 1107, 21190, 1419, 12404, 17351, 3009, 538, 5672, 4592, 543, 5672, 4592, 666, 3247, 2324, 610, 581, 2352, 547, 3181, 1872, 610, 30712, 269, 1403, 596, 616, 606, 4274, 610, 917, 1022, 4966, 267, 946, 873, 269, 1403, 596, 616, 513, 30497, 3593, 267, 6529, 547, 519, 824, 3681, 563, 277, 269, 2422, 23433, 569, 715, 3139, 26505, 454, 2710, 711, 946, 519, 6163, 602, 6478, 2488, 607, 3044, 1107, 1118, 707, 1378, 4441, 269, 2422, 707, 7817, 267, 1788, 267, 2754, 267, 610, 930, 824, 32165, 950, 2870, 6163, 538, 6478, 269, 5269, 513, 1007, 2511, 630, 7474, 666, 581, 1759, 593, 519, 3044, 968, 31863, 14615, 543, 2012, 602, 2511, 1945, 2189, 971, 607, 968, 10292, 1261, 8172, 476, 272, 2223, 968, 10292, 16453, 1848, 901, 786, 2327, 602, 707, 6163, 786, 711, 581, 7670, 9287, 269, 1358, 786, 2951, 547, 1776, 1268, 779, 3684, 1175, 5386, 1317, 789, 616, 1114, 269, 8617, 968, 31863, 892, 949, 581, 1360, 1114, 630, 514, 13944, 267, 1899, 19437, 267, 3092, 4700, 689, 835, 3684, 547, 1776, 543, 1223, 1764, 707, 3561, 11249, 563, 5629, 596, 723, 707, 19918, 3957, 6163, 1305, 909, 267, 3651, 873, 2656, 10569, 543, 581, 3063, 3432, 344, 6730, 5812, 950, 11249, 707, 6054, 563, 278, 269, 16440, 543, 16440, 10705, 454, 24591, 2789, 8747, 540, 513, 3561, 269, 16440, 873, 676, 5662, 952, 596, 616, 3478, 7255, 827, 519, 6617, 540, 519, 3758, 269, 16076, 534, 18376, 21101, 917, 602, 1547, 25269, 6119, 2631, 950, 922, 3592, 6765, 942, 543, 968, 321, 869, 909, 892, 693, 538, 641, 1636, 2317, 8090, 563, 13014, 2386, 596, 2226, 4528, 1852, 269, 1703, 616, 1082, 1390, 3301, 543, 3561, 2359, 3292, 602, 798, 713, 585, 596, 267, 855, 1034, 11932, 3314, 547, 946, 1455, 2631, 269, 2142, 3222, 540, 945, 814, 1569, 547, 519, 3758, 543, 581, 2312, 827, 950, 602, 1569, 568, 1100, 3476, 2139, 269, 2142, 6109, 827, 968, 335, 839, 1524, 892, 543, 824, 21852, 563, 265, 307, 4459, 281, 1403, 707, 3758, 6811, 922, 18348, 539, 538, 9049, 6478, 476, 1220, 274, 2119, 6679, 621, 538, 476, 1220, 278, 269, 634, 1007, 2934, 538, 476, 1220, 278, 5431, 602, 513, 3758, 568, 18348, 543, 1287, 3801, 547, 4368, 621, 563, 279, 269, 17677, 6744, 2659, 4518, 454, 13480, 609, 968, 12061, 268, 2745, 532, 3197, 892, 5828, 593, 269, 901, 4781, 568, 15720, 538, 513, 7008, 540, 1114, 4025, 4470, 593, 707, 4528, 540, 6478, 855, 568, 1034, 2693, 896, 968, 7093, 325, 3720, 1848, 901, 2636, 596, 547, 1294, 8791, 9397, 267, 5037, 7024, 267, 5624, 267, 3092, 269, 543, 666, 581, 17170, 538, 30076, 1946, 1945, 568, 711, 3257, 1018, 596, 1616, 610, 2503, 621, 547, 798, 563, 5970, 2576, 3116, 2638, 707, 960, 269, 2755, 621, 568, 1271, 547, 6166, 519, 3561, 5654, 1318, 267, 1118, 2386, 602, 621, 568, 1305, 909, 7157, 607, 1134, 269, 898, 568, 1360, 2653, 547, 31376, 538, 6478, 543, 711, 1711, 1945, 602, 568, 20248, 2953, 610, 2653, 585, 2576, 3116, 547, 12575, 610, 9337, 269, 2422, 19918, 3957, 6163, 543, 1305, 1919, 909, 7157, 267, 971, 607, 1210, 29601, 543, 711, 18644, 2230, 3046, 513, 4627, 2053, 547, 1205, 519, 1899, 547, 2736, 519, 1259, 596, 1616, 563, 280, 269, 3683, 6480, 1493, 454, 2108, 17764, 267, 594, 3580, 1175, 1491, 621, 547, 918, 1074, 657, 3034, 2108, 17764, 267, 938, 2504, 11570, 1810, 1406, 2247, 4947, 538, 693, 476, 272, 600, 593, 519, 476, 275, 628, 540, 5147, 3034, 4322, 543, 7366, 540, 824, 13974, 14255, 25771, 557, 2453, 616, 1317, 1004, 798, 711, 8430, 610, 602, 789, 3274, 798, 711, 917, 875, 547, 8430, 563, 15542, 281, 1919, 2141, 1491, 3476, 982, 596, 2503, 563, 10112, 2541, 693, 2547, 476, 272, 2985, 829, 8792, 585, 2407, 2681, 8228, 543, 1287, 5595, 602, 942, 630, 604, 596, 666, 264, 585, 519, 6397, 269, 27539, 602, 621, 786, 1491, 9625, 275, 3108, 829, 8642, 799, 2882, 942, 547, 1305, 909, 513, 10959, 267, 798, 23200, 267, 5968, 609, 519, 12449, 4199, 267, 3092, 269, 27539, 1256, 609, 782, 519, 1390, 2645, 543, 1007, 31931, 707, 18376, 21101, 666, 3898, 9625, 279, 3817, 829, 5662, 269, 6496, 602, 3100, 1970, 286, 9320, 269, 1809, 899, 12449, 621, 3947, 513, 2370, 7244, 4055, 585, 519, 6397, 563, 13014, 2386, 3025, 6487, 707, 15415, 1107, 2523, 952, 596, 616, 711, 1071, 2000, 11343, 269, 6206, 21527, 610, 824, 2319, 2818, 949, 711, 581, 2324, 609, 519, 1482, 1377, 540, 23473, 3274, 1317, 789, 798, 711, 8275, 875, 2673, 519, 21120, 568, 269, 1403, 596, 4309, 606, 10137, 267, 13974, 1577, 3025, 3238, 917, 269, 2368, 21527, 949, 991, 547, 759, 3832, 7191, 824, 7218, 610, 723, 513, 4655, 1107, 519, 811, 942, 596, 723, 547, 1544, 585, 519, 6397, 519, 4443, 2168, 2504, 3587, 563, 291, 1886, 707, 6085, 0, 3891, 6039, 607, 3013, 779, 1283, 17009, 520, 543, 3084, 3354, 9666, 518, 1282, 519, 29337, 543, 16110, 4218, 5928, 563, 1103, 513, 3948, 267, 918, 1170, 5424, 4889, 919, 267, 513, 2797, 17874, 6109, 646, 8547, 267, 1767, 519, 4436, 23899, 5449, 17009, 520, 5747, 693, 1010, 1753, 538, 21086, 855, 1705, 711, 2285, 513, 2014, 540, 2669, 563, 7628, 1010, 5756, 1279, 4876, 267, 6004, 918, 1170, 5424, 5129, 513, 1883, 267, 543, 3006, 11786, 267, 1909, 538, 2475, 4914, 543, 3354, 3609, 563, 29820, 538, 5125, 538, 476, 3192, 274, 267, 918, 1170, 5424, 1101, 3357, 547, 519, 2475, 538, 476, 4350, 279, 950, 1010, 1920, 19679, 13303, 5125, 269, 1261, 2968, 513, 2475, 12504, 538, 476, 3707, 274, 543, 4682, 593, 547, 4196, 1614, 1296, 538, 519, 2475, 8136, 543, 2663, 538, 519, 22388, 11106, 17620, 269, 2991, 15980, 20277, 779, 267, 4487, 779, 267, 543, 12854, 5232, 267, 646, 6026, 3486, 1894, 693, 12370, 563, 1103, 476, 3422, 280, 267, 1287, 6261, 637, 1211, 9400, 29337, 12912, 1864, 2817, 8232, 5917, 16014, 267, 513, 2990, 799, 5795, 1864, 11999, 3310, 936, 2475, 4914, 3609, 538, 1079, 4218, 5928, 269, 0, 1432, 568, 519, 1158, 2647, 7678, 538, 2011, 5533, 286, 2201, 519, 2627, 3345, 3013, 543, 2342, 723, 1044, 7930, 5355, 269, 1717, 267, 602, 568, 1813, 547, 1419, 3001, 2872, 547, 824, 2477, 971, 607, 3624, 610, 3127, 1141, 2011, 5533, 568, 513, 3787, 811, 540, 513, 1966, 269, 4107, 540, 519, 1158, 779, 2551, 786, 581, 1641, 547, 28811, 2011, 2298, 676, 476, 13078, 271, 952, 1480, 13402, 5434, 3136, 607, 8912, 269, 769, 713, 1870, 23829, 268, 639, 783, 9183, 267, 519, 3328, 1158, 12504, 476, 2412, 1296, 689, 1631, 786, 1995, 2147, 2011, 5533, 547, 602, 540, 2221, 779, 3328, 5101, 7489, 12504, 269, 1452, 8753, 616, 1346, 540, 513, 1353, 3370, 4864, 476, 272, 538, 27321, 11061, 543, 8212, 267, 606, 7046, 7457, 4760, 540, 519, 3864, 2983, 657, 31190, 5742, 630, 9680, 308, 1040, 5794, 5533, 568, 513, 2101, 1072, 1981, 602, 949, 22009, 609, 2810, 4853, 2534, 269, 2311, 1459, 267, 4683, 9205, 2011, 5533, 3123, 476, 272, 269, 274, 2929, 6059, 7972, 829, 1032, 5001, 267, 2687, 547, 519, 2622, 2657, 9257, 269, 0, 9961, 1686, 267, 18563, 723, 1500, 1272, 4443, 543, 811, 10375, 269, 1358, 723, 4847, 721, 547, 2661, 3476, 267, 8902, 2729, 543, 1711, 1007, 2081, 540, 2679, 267, 3001, 267, 14379, 267, 7067, 267, 1565, 267, 543, 4730, 269, 769, 1840, 267, 789, 723, 5280, 1711, 543, 2844, 14762, 2950, 563, 1103, 6761, 616, 519, 1267, 540, 1004, 8380, 741, 9843, 1927, 547, 4137, 856, 875, 547, 4194, 513, 1966, 610, 2232, 606, 3390, 538, 513, 1259, 602, 1100, 835, 3116, 814, 2479, 2944, 1354, 269, 1358, 616, 1419, 6273, 676, 519, 960, 540, 1866, 855, 666, 849, 581, 2919, 10446, 563, 288, 2151, 1324, 606, 8798, 3322, 1082, 3268, 543, 3340, 13007, 267, 9639, 267, 543, 9939, 269, 898, 666, 1491, 1296, 547, 1020, 606, 8798, 543, 1256, 3476, 547, 5010, 1125, 621, 269, 898, 568, 1419, 2352, 547, 6330, 519, 9431, 543, 1870, 31193, 23665, 602, 8451, 1282, 922, 1646, 563, 2005, 949, 581, 2556, 547, 16926, 3544, 948, 267, 971, 607, 29801, 610, 8030, 267, 547, 1118, 519, 8798, 513, 4641, 269, 901, 949, 1331, 519, 991, 585, 7616, 267, 3656, 1489, 267, 543, 1870, 2359, 6791, 563, 2414, 948, 2327, 602, 3025, 814, 513, 4960, 547, 1020, 741, 1378, 18563, 267, 972, 616, 1896, 3292, 543, 4507, 602, 1489, 1312, 31132, 543, 741, 18563, 269, 15789, 602, 1683, 1489, 543, 2200, 585, 3384, 513, 14664, 3498, 267, 585, 1383, 267, 616, 4105, 585, 4180, 602, 31132, 723, 519, 4316, 547, 5010, 1125, 741, 2093, 538, 606, 3608, 543, 3811, 6073, 563, 1103, 1203, 832, 666, 849, 1451, 676, 1818, 9073, 267, 799, 568, 1271, 1317, 621, 2337, 873, 547, 2744, 3407, 1995, 269, 1635, 1427, 11538, 741, 18563, 267, 31132, 666, 2087, 741, 1983, 543, 3605, 519, 1985, 1655, 1900, 4724, 1967, 563, 1103, 6761, 666, 581, 513, 3532, 1907, 585, 1514, 1689, 267, 3850, 3048, 2209, 547, 3142, 827, 2242, 538, 938, 2486, 602, 666, 4324, 721, 782, 269, 1358, 666, 948, 721, 2661, 1732, 543, 8902, 2729, 267, 2569, 519, 8798, 948, 1764, 540, 6710, 267, 543, 1118, 938, 1604, 811, 4264, 563, 5445, 666, 849, 1291, 547, 10124, 602, 666, 2981, 938, 1158 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4061, 267, 2938, 538, 28797, 543, 1973, 454, 268, 20970, 540, 7542, 10635, 3559, 520, 848, 11747, 2534, 454, 268, 17449, 4719, 4152, 1354, 610, 1310, 4332, 267, 547, 6166, 674, 17248, 5444, 15817, 4433, 5148, 1775, 4318, 1421, 13592, 538, 519, 968, 22351, 892, 5444, 454, 268, 20506, 23707, 547, 3313, 519, 6708, 540, 6797, 3441, 281, 589, 23707, 568, 5340, 543, 2366, 547, 513, 8047, 585, 513, 27690, 6514, 269, 634, 2619, 6048, 12116, 519, 23707, 896, 513, 17209, 269, 2991, 8380, 1927, 4791, 4681, 267, 2027, 2090, 593, 8031, 630, 604, 2877, 264, 543, 609, 17209, 4681, 267, 519, 2619, 6048, 21128, 693, 513, 17046, 5868, 454, 9616, 281, 13281, 585, 10729, 2157, 540, 533, 6973, 10455, 514, 7135, 616, 3622, 21016, 5477, 267, 2094, 519, 7623, 568, 1202, 20107, 538, 1216, 267, 543, 10729, 2157, 798, 711, 2992, 2799, 1560, 2157, 540, 533, 6973, 10455, 514, 7135, 563, 6624, 4791, 2175, 949, 723, 2147, 4191, 543, 2589, 269, 2659, 3782, 8502, 949, 1685, 3606, 4255, 547, 4341, 856, 824, 4791, 2175, 547, 12446, 693, 513, 17046, 5868, 563, 1432, 616, 519, 2009, 1290, 4124, 540, 661, 787, 6605, 16211, 2045, 5019, 641, 6973, 344, 6319, 888, 763, 1761, 8374, 540, 661, 787, 6605, 16211, 2045, 5019, 641, 6973, 344, 6319, 949, 1331, 912, 268, 27275, 22636, 540, 519, 2960, 454, 268, 1323, 8598, 543, 824, 2175, 267, 1813, 547, 1970, 2157, 540, 5135, 3560, 454, 268, 27275, 3929, 2566, 1813, 547, 23815, 4145, 454, 268, 645, 17424, 5563, 1739, 8984, 1025, 3563, 532, 540, 519, 2960, 454, 268, 12192, 667, 543, 7777, 4401, 10638, 454, 268, 16842, 1486, 641, 6973, 10455, 1231, 538, 23925, 666, 1267, 538, 7086, 15485, 10007, 5250, 454, 268, 11829, 18429, 666, 3625, 23925, 13811, 4611, 538, 8650, 543, 5312, 1781, 548, 1097, 560, 4345, 454, 268, 18127, 6797, 2175, 267, 971, 607, 1085, 18732, 543, 27470, 267, 1813, 547, 6797, 17219, 454, 1692, 568, 661, 787, 6605, 16211, 2045, 5019, 641, 6973, 344, 6319, 7066, 730, 888, 763, 2126, 3800, 540, 661, 787, 6605, 16211, 2045, 5019, 641, 6973, 344, 6319, 949, 1331, 912, 268, 3680, 532, 1463, 4598, 547, 7943, 543, 519, 3498, 540, 12498, 21307, 582, 2940, 22521, 24429, 1212, 4461, 454, 268, 12192, 589, 12746, 1132, 799, 2306, 519, 2960, 1447, 6213, 547, 3141, 779, 12345, 454, 268, 5709, 725, 547, 948, 519, 6797, 9004, 1486, 641, 6973, 10455, 1231, 949, 581, 2016, 269, 7201, 339, 1136, 2126, 585, 6797, 4713, 282, 538, 930, 2665, 267, 513, 9864, 610, 2347, 6797, 13003, 949, 581, 2556, 454, 268, 6164, 532, 4401, 543, 6171, 667, 19518, 676, 2921, 5078, 9360, 454, 268, 769, 930, 2043, 267, 21110, 6527, 949, 581, 6225, 454, 268, 1677, 1521, 2799, 23925, 7274, 540, 1486, 641, 6973, 10455, 1231, 267, 15181, 23315, 543, 23925, 3679, 3524, 652, 7847, 630, 16766, 540, 759, 1231, 547, 12622, 23925, 267, 971, 607, 26601, 17965, 1090, 710, 264, 616, 1031, 454, 268, 1403, 519, 2157, 540, 1486, 641, 6973, 10455, 514, 538, 1973, 568, 1164, 267, 9842, 14090, 12742, 529, 949, 581, 5363, 538, 930, 2665, 454, 1692, 666, 661, 787, 6605, 16211, 2045, 5019, 641, 6973, 344, 6319, 581, 16473, 539, 888, 268, 17497, 267, 972, 616, 1100, 1808, 2409, 610, 4808, 547, 2061, 661, 787, 6605, 16211, 2045, 5019, 641, 6973, 344, 6319, 267, 2094, 621, 568, 513, 4719, 2783, 454, 268, 18726, 4152, 540, 519, 24584, 3237, 630, 663, 1644, 1920, 2818, 264, 543, 27514, 5868, 630, 332, 12817, 4152, 540, 519, 21565, 1282, 6379, 264, 949, 948, 538, 1620, 519, 4220, 1732, 1282, 6379, 454, 268, 1403, 972, 568, 513, 1920, 1686, 540, 519, 2783, 267, 1287, 4719, 13508, 786, 948, 2708, 4220, 267, 1354, 4058, 585, 513, 1126, 454, 268, 15765, 1382, 568, 4867, 1373, 5340, 547, 2263, 519, 7399, 585, 2126, 543, 6604, 540, 15110, 543, 9715, 4719, 4713, 971, 607, 661, 787, 6605, 16211, 2045, 5019, 641, 6973, 344, 6319, 454, 19894, 2564, 9584, 693, 13350, 11996, 609, 4255, 543, 2168, 18362, 616, 3810, 5227, 563, 1432, 568, 519, 1160, 3913, 2670, 540, 661, 787, 6605, 16211, 2045, 5019, 641, 6973, 344, 6319, 286, 630, 11073, 3699, 270, 4910, 30055, 994, 268, 634, 23567, 540, 661, 787, 6605, 16211, 2045, 5019, 641, 6973, 344, 6319, 9775, 609, 519, 10335, 540, 519, 2783, 269, 898, 568, 12290, 593, 513, 2013, 8386, 30924, 4493, 454, 268, 769, 1034, 2665, 267, 519, 2589, 540, 661, 13048, 616, 711, 4049, 543, 789, 949, 581, 6417, 998, 1697, 2126, 269, 4475, 267, 519, 23567, 568, 1434, 538, 1082, 2043, 454, 21206, 543, 31999, 2422, 995, 6176, 585, 661, 787, 6605, 16211, 2045, 5019, 641, 6973, 344, 6319, 912, 763, 824, 3029, 540, 2759, 10389, 533, 6973, 344, 6319, 1331, 2473, 30499, 8789, 1486, 641, 6973, 344, 6319, 630, 311, 299, 7894, 303, 1070, 22787, 22980, 6605, 16211, 2045, 533, 6973, 344, 6319, 630, 4753, 303, 1070, 533, 6973, 344, 6319, 2759, 2033, 320, 512, 731, 320, 630, 303, 6311, 1070, 22420, 2941, 549, 1602, 19148, 6319, 630, 295, 9573, 1070, 543, 15254, 20672, 622, 533, 6973, 344, 6319, 630, 29262, 1040, 0, 5475, 513, 3126, 540, 10913, 5473, 3282, 14884, 538, 519, 2475, 543, 4516, 267, 519, 2475, 4972, 540, 18815, 6069, 1007, 3106, 4441, 585, 3282, 14884, 593, 5147, 476, 2537, 269, 634, 6069, 4441, 3077, 4587, 7382, 6517, 267, 8506, 3549, 11288, 1166, 30100, 15559, 547, 5372, 7382, 6517, 12155, 547, 8297, 696, 1005, 610, 27164, 7257, 873, 547, 2743, 27162, 615, 1374, 4170, 269, 1715, 1374, 4170, 1331, 23198, 5374, 16115, 267, 1732, 26039, 543, 5066, 1478, 4027, 267, 799, 1131, 1118, 519, 7382, 6517, 10930, 538, 519, 2680, 540, 606, 8009, 563, 6097, 547, 519, 4972, 540, 18815, 267, 519, 6283, 540, 3282, 676, 7841, 814, 2799, 3648, 538, 519, 2250, 1896, 1296, 267, 689, 476, 280, 267, 4335, 7841, 8364, 2903, 338, 538, 476, 1220, 279, 547, 476, 25870, 267, 1822, 538, 476, 1001, 274, 269, 2991, 519, 5147, 476, 277, 267, 476, 1001, 274, 3541, 841, 618, 538, 30086, 5336, 1122, 4842, 267, 20563, 267, 799, 7166, 19421, 540, 1004, 267, 4145, 8057, 827, 519, 2333, 538, 3282, 6283, 676, 7841, 269, 634, 2475, 11556, 568, 2147, 547, 519, 4441, 8225, 22124, 8045, 1310, 519, 30086, 5336, 1122, 4842, 8009, 563, 763, 6069, 4441, 1131, 849, 20818, 3432, 7182, 540, 476, 2412, 18890, 593, 14884, 609, 6517, 602, 798, 711, 2743, 519, 1007, 1374, 4441, 269, 1715, 518, 6517, 1131, 723, 476, 2004, 18890, 3432, 7182, 269, 769, 1840, 267, 519, 11556, 2882, 4170, 585, 19057, 547, 6218, 476, 2767, 3106, 543, 3354, 2152, 1354, 8939, 513, 6283, 8905, 543, 547, 3561, 602, 15559, 723, 1044, 25541, 543, 7318, 269, 634, 1857, 814, 476, 2568, 2395, 547, 6085, 593, 519, 6069, 4441, 267, 543, 519, 1007, 3652, 1223, 979, 883, 1198, 676, 519, 2887, 540, 476, 1001, 276, 563, 1607, 2022, 729, 2854, 676, 4446, 743, 599, 17880, 565, 5459, 630, 14140, 4067, 17106, 11333, 3820, 610, 476, 278, 1724, 269, 4792, 272, 269, 3607, 277, 273, 264, 689, 17368, 517, 14986, 27975, 1962, 697, 779, 6052, 6657, 6828, 543, 22186, 22220, 5062, 301, 792, 2284, 630, 16942, 11333, 2593, 610, 476, 278, 1724, 269, 4792, 272, 269, 6321, 280, 279, 1040, 0, 763, 521, 337, 836, 729, 513, 9304, 540, 17230, 1063, 476, 5002, 280, 543, 476, 4198, 280, 269, 25460, 6407, 834, 338, 836, 21968, 538, 25307, 1419, 5219, 547, 607, 834, 323, 978, 592, 521, 337, 836, 257, 1775, 4318, 269, 834, 338, 559, 591, 521, 337, 836, 2668, 20323, 519, 521, 337, 836, 729, 513, 2597, 1770, 267, 3226, 547, 9260, 8988, 543, 4154, 563, 763, 521, 337, 836, 1101, 7902, 607, 513, 8988, 11777, 538, 476, 5002, 280, 950, 17230, 3459, 29307, 513, 3099, 540, 29559, 2864, 982, 1152, 29307, 519, 8126, 6390, 269, 1452, 476, 272, 521, 337, 836, 8988, 11113, 540, 476, 1240, 269, 276, 575, 941, 20511, 539, 693, 667, 1712, 269, 769, 476, 4198, 275, 267, 513, 8988, 11777, 729, 13351, 585, 3892, 547, 26112, 269, 4014, 713, 11777, 729, 519, 2063, 8126, 6390, 3390, 267, 621, 729, 12595, 693, 476, 276, 521, 337, 836, 338, 543, 729, 519, 2063, 8988, 11777, 547, 581, 13351, 538, 17230, 563, 763, 2063, 25307, 7601, 11113, 476, 272, 270, 273, 521, 337, 836, 941, 9783, 538, 476, 4198, 274, 267, 1247, 476, 1911, 521, 337, 836, 4967, 941, 9783, 538, 1804, 2338, 2394, 476, 4198, 280, 269, 1744, 1144, 1657, 568, 519, 25307, 476, 272, 29447, 836, 8988, 11777, 267, 18584, 5084, 476, 5002, 280, 1775, 4318, 269, 1032, 476, 272, 540, 2473, 10224, 26280, 5736, 563, 11917, 2091, 14594, 532, 281, 695, 517, 555, 784, 31574, 686, 3138, 476, 272, 4882, 337, 836, 14228, 22564, 281, 2290, 29447, 836, 540, 519, 2473, 10224, 26280, 5736, 681, 27654, 14594, 532, 281, 546, 8615, 21485, 561, 323, 534, 943, 334, 1490, 836, 32443, 617, 15255, 678, 5864, 678, 4445, 531, 22564, 281, 634, 717, 663, 523, 20066, 267, 4619, 16124, 538, 782, 8846, 563, 15862, 3938, 17940, 281, 28957, 3820, 0, 4306, 11070, 7728, 32764, 4306, 5085, 20231, 302, 22814, 20219, 23727, 454, 1607, 5741, 960, 30242, 547, 2232, 930, 540, 519, 2042, 11402, 538, 519, 14305, 540, 3984, 1564, 547, 1053, 16924, 538, 2961, 26320, 2160, 2549, 528, 10202, 715, 833, 2037, 30253, 269, 634, 3395, 1297, 540, 1053, 538, 2362, 5238, 15054, 513, 2603, 540, 22098, 2042, 593, 519, 851, 540, 1053, 543, 3427, 5004, 269, 2368, 540, 519, 1966, 3361, 2882, 267, 23225, 3984, 1564, 602, 2291, 538, 519, 2160, 616, 711, 7743, 569, 7307, 267, 6465, 2065, 540, 11623, 2838, 547, 6474, 519, 3395, 1297, 540, 1053, 616, 2484, 325, 564, 3481, 267, 9906, 17188, 13927, 585, 3984, 601, 543, 949, 1439, 909, 711, 3478, 11623, 1317, 540, 3668, 540, 5127, 267, 21118, 601, 16984, 3112, 2285, 4977, 1344, 540, 519, 5003, 3599, 540, 513, 1880, 4055, 269, 769, 2463, 547, 782, 891, 4540, 2042, 513, 1062, 786, 581, 2966, 547, 4383, 513, 6538, 585, 782, 20814, 3984, 601, 547, 2875, 269, 634, 1062, 2966, 786, 1832, 3950, 540, 782, 519, 2139, 11623, 267, 741, 31269, 543, 7482, 6383, 689, 3984, 601, 12375, 269, 634, 1715, 1062, 786, 581, 8045, 1210, 10439, 9978, 476, 277, 269, 271, 543, 1569, 4578, 563, 272, 269, 272, 645, 19272, 294, 4629, 26685, 5508, 5990, 29898, 454, 1103, 476, 4489, 273, 267, 538, 1325, 1084, 320, 16836, 538, 5125, 267, 9400, 5576, 597, 337, 10458, 2813, 519, 1101, 8628, 808, 1872, 754, 615, 828, 613, 610, 968, 312, 1926, 21118, 601, 6100, 1452, 1101, 15272, 21118, 1564, 941, 606, 20800, 540, 519, 16809, 540, 519, 4436, 15272, 11873, 547, 1577, 4057, 2749, 19920, 13236, 4195, 2011, 13964, 269, 634, 31655, 941, 9277, 547, 4383, 519, 3984, 601, 2933, 607, 1454, 607, 2009, 267, 3257, 26050, 547, 1832, 519, 3790, 1524, 543, 1628, 1915, 607, 1134, 607, 1373, 9308, 3742, 13964, 269, 5221, 540, 713, 267, 1082, 15272, 21118, 1564, 6806, 1282, 519, 1647, 851, 540, 519, 1554, 563, 2467, 616, 1896, 3604, 1063, 3984, 1564, 543, 20730, 267, 1519, 912, 295, 739, 1564, 4043, 547, 581, 6578, 15129, 282, 3928, 616, 14320, 2539, 267, 543, 1082, 3984, 1564, 723, 3292, 547, 2671, 2835, 267, 23861, 338, 543, 824, 3688, 563, 2690, 1346, 945, 4782, 606, 13016, 1604, 267, 3984, 1564, 798, 711, 2356, 723, 519, 1482, 1377, 540, 1106, 1275, 607, 20730, 563, 2690, 1346, 945, 4782, 547, 1514, 1125, 609, 741, 8284, 14538, 267, 3984, 1564, 2356, 723, 811, 1455, 2127, 543, 3255, 547, 1514, 1125, 269, 634, 18959, 7480, 2460, 540, 3984, 1564, 849, 4679, 519, 1514, 3815, 563, 272, 269, 273, 29865, 30121, 5508, 5990, 11550, 25770, 300, 454, 763, 3395, 1297, 540, 1053, 538, 2362, 5238, 782, 936, 519, 1158, 814, 15054, 513, 2603, 540, 22098, 1966, 593, 519, 851, 540, 1053, 543, 1153, 2359, 269, 4841, 693, 519, 4098, 540, 1142, 8400, 3653, 3368, 540, 519, 19496, 3168, 585, 22098, 269, 634, 1906, 3984, 1564, 602, 2291, 538, 519, 9945, 616, 711, 5265, 7307, 269, 10803, 540, 519, 1297, 540, 11623, 2838, 547, 6474, 519, 3395, 1297, 540, 1053, 616, 2484, 10099, 3481, 269, 4107, 1419, 267, 1053, 2628, 585, 3984, 601, 13927, 543, 1439, 909, 711, 3478 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1419, 513, 2603, 811, 7294, 602, 1034, 1589, 282, 689, 16806, 535, 1662, 687, 547, 519, 3375, 1818, 1184, 540, 16116, 513, 4266, 267, 1169, 3375, 729, 1500, 585, 513, 2601, 563, 291, 1144, 693, 519, 744, 3333, 11867, 7467, 267, 649, 723, 519, 12257, 540, 1373, 519, 20457, 585, 12311, 26204, 1032, 15778, 269, 634, 744, 3333, 11867, 7467, 26520, 593, 519, 13272, 540, 8235, 14411, 267, 543, 938, 1614, 8978, 8075, 1142, 3180, 513, 2189, 7990, 10325, 543, 12716, 269, 634, 9754, 568, 849, 4092, 10375, 569, 22290, 519, 808, 889, 850, 324, 623, 822, 559, 542, 267, 513, 10689, 543, 2680, 2230, 602, 814, 11478, 538, 744, 3333, 11867, 2094, 476, 4572, 278, 256, 2353, 540, 713, 5916, 609, 519, 28677, 5784, 267, 9921, 4054, 267, 543, 4190, 10651, 267, 8235, 1613, 5244, 543, 519, 9754, 3136, 547, 581, 519, 3501, 4282, 585, 513, 11509, 1554, 540, 2648, 543, 519, 12250, 2343, 540, 7365, 563, 26607, 3429, 10344, 568, 513, 1950, 4081, 6643, 267, 11371, 1231, 1227, 5532, 609, 519, 11786, 6643, 4478, 7365, 3294, 267, 519, 9562, 540, 1866, 267, 543, 519, 2757, 30013, 4579, 540, 7365, 269, 1717, 267, 950, 4767, 689, 513, 3140, 5133, 267, 594, 1265, 602, 513, 811, 3617, 6643, 4478, 922, 4720, 267, 568, 2965, 540, 519, 7287, 547, 7001, 971, 513, 26832, 4090, 538, 835, 779, 1272, 269, 1306, 654, 1023, 327, 543, 654, 1228, 2491, 968, 14954, 3429, 11147, 543, 11549, 4548, 3090, 1227, 6542, 519, 11972, 31344, 1275, 540, 9161, 538, 4207, 3013, 1247, 5466, 1950, 2152, 971, 607, 1514, 1689, 267, 4008, 267, 543, 9297, 31422, 272, 22878, 585, 12311, 26204, 568, 513, 1279, 543, 7294, 1650, 267, 3395, 689, 588, 3042, 543, 1305, 6337, 267, 602, 941, 1419, 3144, 593, 5094, 2395, 547, 519, 16806, 267, 547, 519, 6197, 12716, 602, 649, 1294, 1034, 1419, 1631, 563, 20075, 523, 10906, 779, 16806, 1554, 729, 9808, 9853, 609, 8374, 543, 9993, 267, 1519, 2348, 547, 7662, 3063, 7802, 19420, 976, 689, 519, 3703, 2229, 585, 1200, 10571, 267, 607, 2622, 2782, 4083, 32311, 532, 729, 1869, 538, 1198, 269, 1717, 267, 835, 540, 519, 1034, 4277, 2984, 729, 519, 2530, 540, 1200, 16806, 536, 537, 21103, 269, 9314, 539, 2043, 786, 5469, 602, 1920, 6337, 3144, 593, 5437, 476, 736, 267, 476, 3707, 278, 798, 711, 1397, 4173, 20727, 17965, 8066, 1200, 536, 537, 21103, 267, 607, 621, 729, 3765, 31419, 28069, 1310, 519, 22576, 689, 31689, 30745, 269, 4475, 267, 519, 27379, 543, 19081, 779, 16806, 23609, 941, 6192, 593, 741, 24917, 2096, 3019, 267, 2395, 2663, 267, 1310, 1776, 536, 537, 21103, 1223, 581, 2813, 269, 22878, 693, 519, 942, 849, 21378, 1152, 547, 15054, 6337, 538, 513, 2230, 1141, 1769, 1223, 581, 16913, 543, 6417, 269, 1306, 519, 12514, 4957, 543, 21378, 547, 6283, 267, 865, 1932, 1705, 16806, 6337, 269, 634, 1101, 16806, 546, 16331, 518, 516, 8040, 540, 519, 476, 7277, 271, 338, 7960, 883, 16806, 11549, 4548, 543, 18638, 23609, 269, 634, 968, 26607, 3429, 4425, 558, 892, 1310, 519, 5822, 2622, 2782, 849, 6766, 21706, 547, 1118, 519, 20014, 689, 4108, 10344, 547, 12311, 26204, 267, 543, 930, 1131, 1397, 909, 267, 1491, 6337, 267, 543, 1287, 3801, 547, 6133, 873, 547, 519, 27379, 543, 19081, 1510, 513, 1991, 4579, 269, 1452, 2621, 7142, 16806, 21706, 547, 4734, 741, 801, 3930, 543, 1711, 741, 8823, 609, 519, 7008, 693, 741, 16806, 4087, 269, 273, 454, 763, 744, 3333, 11867, 7467, 568, 538, 15896, 540, 519, 744, 3333, 11867, 901, 10432, 11205, 3429, 23318, 8666, 4015, 543, 267, 4061, 267, 513, 6041, 540, 513, 1804, 3099, 540, 16806, 11147, 689, 519, 2250, 2540, 602, 941, 3370, 538, 519, 1957, 269, 1677, 1250, 9983, 267, 1247, 1603, 713, 5816, 267, 594, 4945, 539, 2066, 1250, 1378, 3237, 685, 16806, 267, 607, 1134, 607, 606, 25819, 540, 824, 3237, 543, 2146, 2818, 602, 594, 723, 1634, 1250, 3003, 1272, 563, 20751, 519, 9754, 779, 4015, 267, 649, 849, 723, 513, 1804, 3099, 540, 16806, 3688, 267, 9170, 689, 16806, 32293, 267, 10887, 267, 547, 22783, 543, 6337, 269, 594, 723, 513, 1880, 1719, 538, 519, 16806, 32293, 1369, 519, 4015, 267, 607, 789, 2099, 513, 3099, 540, 6163, 2429, 519, 1296, 269, 2290, 540, 519, 1034, 11599, 6698, 540, 519, 7262, 16806, 568, 519, 1490, 10537, 575, 1144, 269, 15380, 267, 789, 616, 3043, 610, 32334, 267, 1279, 267, 543, 11214, 14969, 267, 4470, 593, 519, 2511, 693, 519, 942, 269, 10348, 15117, 267, 945, 729, 9310, 593, 5988, 476, 1015, 267, 476, 7277, 271, 267, 1305, 513, 7678, 538, 16806, 856, 22327, 585, 2021, 269, 13405, 547, 1200, 16806, 267, 2021, 2901, 20595, 741, 1655, 10571, 267, 7488, 540, 519, 7990, 267, 610, 2966, 543, 20595, 1007, 32293, 540, 7990, 4470, 593, 519, 6752, 540, 519, 4005, 269, 10348, 15117, 779, 1804, 543, 3063, 341, 698, 656, 3043, 16806, 10571, 3366, 547, 513, 10006, 538, 519, 9849, 540, 3043, 32293, 2221, 269, 21676, 9482, 609, 519, 4853, 4838, 543, 519, 8244, 540, 971, 791, 24411, 2326, 267, 519, 2407, 1606, 330, 597, 1540, 267, 3043, 267, 610, 32334, 1413, 585, 1490, 1938, 568, 1631, 519, 2343, 269, 274, 454, 4913, 267, 930, 1490, 1938, 8359, 547, 3136, 609, 6752, 762, 15437, 269, 2290, 540, 519, 1034, 3063, 341, 698, 656, 1806, 540, 602, 568, 513, 10571, 799, 20705, 547, 6341, 13183, 320, 10830, 269, 2701, 729, 9310, 538, 476, 6942, 276, 538, 713, 15309, 344, 267, 10538, 10571, 267, 519, 7990, 693, 519, 942, 729, 1572, 3851, 1329, 269, 634, 7990, 729, 6273, 676, 519, 7990, 543, 5251, 540, 519, 8241, 856, 3724, 543, 1031, 538, 32293, 6194, 543, 6752, 8075, 998, 3735, 16972, 4789, 563, 3080, 540, 519, 9754, 779, 1655, 8153, 3885, 267, 519, 8361, 338, 540, 938, 8361, 5600, 267, 1185, 1896, 12311, 26204, 4371, 1369, 519, 1753, 269, 634, 1612, 331, 712, 1131, 723, 1044, 3984, 547, 8361, 5600, 12311, 26204, 267, 607, 621, 729, 519, 1034, 20662, 880, 569, 21243, 543, 2966, 585, 19278, 269, 2290, 540, 519, 1034, 4277, 5013, 7282, 519, 12311, 26204, 540, 8361, 1920, 1453, 543, 6264, 18244, 568, 519, 12557, 540, 519, 12311, 26204, 1369, 519, 11706, 1032, 269, 3509, 941, 9310, 1472, 519, 8285, 9702, 267, 2901, 1354, 610, 1310, 269, 2290, 7365, 267, 602, 540, 22548, 20811, 8361, 267, 7338, 543, 700, 675, 24229, 779, 3791, 21836, 1126, 267, 729, 9310, 547, 18706, 3780, 12942, 593, 5412, 476, 2420, 267, 476, 5908, 279, 269, 22548, 20811, 543, 18706, 3780, 616, 1767, 547, 723, 4941, 547, 581, 12311, 593, 8285, 4303, 3294, 267, 2705, 267, 519, 5939, 543, 17308, 941, 711, 2139, 267, 865, 4244, 4566, 941, 1500, 269, 2368, 4128, 585, 891, 8285, 4005, 16873, 1223, 723, 1044, 519, 16133, 547, 1142, 824, 1282, 519, 9702, 4005, 610, 602, 519, 7031, 941, 22157, 543, 519, 7556, 26050, 941, 8737, 267, 865, 519, 1920, 729, 2139, 547, 2972, 11812, 543, 5789, 337, 2939, 563, 763, 744, 3333, 11867, 7467, 568, 4278, 2683, 547, 723, 513, 3099, 540, 11269, 540, 1312, 2413, 543, 3140, 12311, 26204, 267, 519, 2592, 543, 4015, 3688, 1683, 606, 4277, 2796, 585, 12311, 26204, 538, 744, 3333, 11867, 543, 8235, 1613, 5244, 269, 6787, 621, 568, 3045, 23395, 707, 16806, 538, 519, 11356, 267, 1210, 519, 9754, 779, 5898, 607, 513, 10344, 20457, 267, 610, 2348, 707, 16806, 575, 1144, 1439, 909, 538, 938, 8628, 4015, 267, 649, 2648, 547, 2648, 543, 616, 6126, 547, 581, 513, 851, 540, 4896, 779, 8262, 4303, 563, 310, 1023, 327, 267, 7812, 6276, 543, 654, 1228, 267, 15623, 269, 14675, 10177, 1188, 585, 2648, 281, 16806, 2756, 2762, 267, 2575, 543, 11509, 3965, 269, 8033, 10840, 476, 4097, 281, 272, 267, 3817, 476, 1691, 268, 4029, 267, 476, 1708, 271, 563, 2691, 3056, 938, 3119, 2707, 13186, 267, 594, 1419, 10460, 519, 2243, 547, 1053, 968, 6701, 11147, 4977, 26007, 540, 519, 2621, 789, 616, 6029, 9495, 15380, 267, 1053, 4431, 609, 968, 13433, 267, 540, 1576, 1848, 594, 5401, 873, 547, 556, 29264, 602, 3210, 543, 2307, 1018, 2645, 798, 649, 723, 2139, 602, 949, 1118, 602, 2626, 11234, 269, 901, 5012, 883, 513, 4901, 540, 8666, 12879, 609, 2645, 971, 607, 26598, 543, 588, 3042, 610, 18259, 11147, 543, 875, 649, 1590, 946, 938, 5042, 3206, 1983, 950, 6313, 11147, 547, 946, 607, 2963, 540, 2621, 563, 296, 729, 26752, 547, 7390, 519, 476, 1708, 272, 19964, 5948, 540, 14411, 5691, 10554, 538, 2904, 269, 634, 1445, 540, 519, 10554, 729, 3257, 519, 960, 547, 1847, 938, 31150, 10070, 689, 741, 7810, 5072, 883, 513, 811, 8537, 2104, 269, 634, 6679, 1883, 16694, 2232, 729, 13886, 968, 3725, 19960, 1456, 3776, 28358, 999, 281, 7353, 21106, 540, 11846, 693, 4095, 1763, 7808, 12140, 892, 543, 729, 9447, 676, 3967, 823, 674, 832, 2814, 269, 3220, 269, 674, 832, 2814, 568, 606, 21133, 7905, 693, 5375, 2160, 945, 24870, 538, 3695, 7328, 779, 2078, 547, 7087, 543, 8225, 2528, 563, 7628, 1200, 2911, 267, 3220, 269, 674, 832, 2814, 3838, 606, 3239, 540, 513, 19735, 2319, 16922, 540, 1053, 689, 513, 10821, 1153, 269, 901, 3239, 267, 2059, 609, 7366, 540, 1866, 267, 729, 606, 7533, 851, 540, 1200, 1382, 269, 634, 3239, 729, 513, 6093, 19735, 2319, 10460, 269, 5565, 9343, 540, 1453, 267, 519, 3283, 538, 519, 4395, 27206, 267, 1346, 538, 519, 1394, 7555, 267, 782, 9849, 741, 3937, 543, 32127, 585, 519, 8254, 269, 1403, 596, 1175, 6743, 693, 519, 3239, 1510, 20857, 1022, 2417, 267, 621, 1223, 581, 1031, 547, 1489, 1346, 945, 8044, 602, 10821, 3506, 14201, 1406, 782, 3983, 269, 1717, 267, 3220, 269, 674, 832, 2814, 4941, 547, 917, 811, 827, 519, 3239, 543, 519, 1053, 538, 519, 8523, 543, 729, 4448, 609, 835, 540, 519, 1053, 563, 26796, 6340, 609, 513, 9543, 2006, 945, 1185, 1044, 835, 540, 519, 1053, 538, 519, 8523, 267, 3220, 269, 674, 832, 2814, 729, 3177, 609, 513, 1390, 4308, 540, 2796, 602, 12012, 519, 1344, 519, 8523, 3177, 269, 769, 519, 8523, 267, 519, 1053, 616, 3254, 9849, 1007, 3937, 282, 2705, 267, 2687, 547, 519, 5449, 2875, 267, 602, 3937, 729, 4547, 538, 547, 581, 12816, 1152, 585, 519, 8523, 269, 769, 4641, 267, 519, 3937, 789, 941, 3177, 609, 729, 1360, 2025, 543, 6035, 1360, 2370, 4027, 269, 1261, 2893, 609, 3220, 269, 674, 832, 2814, 543, 3177, 2796, 585, 811, 2592, 689, 519, 1153, 267, 782, 540, 799, 12006, 875, 519, 11147, 941, 711, 4977, 11269, 540, 1018, 5026, 941, 899, 693, 602, 1153, 855, 941, 18935, 1242, 547, 1683, 513, 5493, 23534, 6041, 540, 10821, 3506, 563, 2691, 3168, 693, 1022, 8523, 267, 621, 568, 2141, 6225, 547, 1331, 607, 1454, 2796, 607, 2009, 607, 621, 568, 2796, 602, 2636, 721, 547, 1732, 1174, 519, 3239, 649, 616, 3168, 693, 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 ]
[ 519, 3902, 540, 25080, 10046, 631, 4394, 454, 268, 634, 3677, 519, 8006, 540, 519, 2095, 31461, 267, 519, 2362, 519, 3902, 269, 1280, 1383, 267, 667, 301, 7742, 13590, 2095, 31461, 568, 811, 7199, 982, 667, 301, 1839, 13590, 2095, 31461, 269, 2201, 519, 14669, 267, 519, 4130, 519, 8006, 267, 519, 2539, 519, 3902, 563, 268, 634, 2095, 31461, 568, 5258, 883, 281, 7471, 1826, 543, 8237, 1826, 269, 590, 5902, 1826, 13590, 2095, 31461, 568, 811, 7199, 982, 7471, 1826, 13590, 2095, 31461, 269, 634, 1164, 2601, 568, 602, 519, 7199, 2724, 585, 519, 8237, 1826, 568, 13104, 539, 5911, 2724, 563, 268, 634, 2095, 31461, 568, 5258, 883, 281, 8723, 1826, 267, 4550, 2275, 528, 12509, 1826, 267, 4550, 2275, 528, 12509, 1826, 269, 634, 3902, 540, 13590, 2095, 31461, 568, 2362, 982, 602, 540, 8723, 13590, 2095, 31461, 269, 634, 2601, 585, 519, 2362, 3902, 568, 602, 519, 16298, 568, 13747, 269, 634, 4550, 2275, 528, 12509, 1826, 568, 25543, 22381, 19660, 26120, 16298, 267, 5631, 585, 7893, 3679, 1325, 330, 13824, 5420, 269, 634, 1455, 1826, 568, 12285, 16298, 267, 5631, 585, 7893, 21137, 543, 8723, 1216, 5420, 563, 2791, 949, 899, 912, 31640, 4826, 10046, 631, 4394, 454, 19575, 337, 21319, 4826, 631, 2678, 585, 1763, 7808, 4826, 454, 291, 783, 19305, 8299, 337, 21319, 4826, 631, 2678, 454, 11900, 1068, 542, 8299, 337, 21319, 4826, 10046, 631, 2678, 454, 19445, 4826, 10046, 631, 4394, 454, 306, 1555, 1652, 13082, 10046, 631, 4394, 454, 18693, 30757, 10046, 631, 4394, 19139, 6651, 454, 26581, 7434, 23556, 10046, 631, 4394, 454, 306, 3626, 268, 9743, 2709, 936, 476, 2004, 25080, 10046, 631, 4394, 267, 609, 7454, 12313, 563, 288, 2647, 3099, 540, 25080, 10046, 631, 4394, 3681, 616, 2139, 547, 596, 267, 971, 607, 1863, 5439, 267, 6976, 5439, 563, 10666, 476, 1724, 260, 540, 891, 616, 6419, 2095, 11281, 267, 476, 1691, 260, 616, 23453, 542, 25080, 10046, 631, 2678, 267, 476, 1839, 260, 616, 20764, 19441, 2095, 11281, 267, 476, 1724, 260, 616, 24318, 21319, 2095, 11281, 267, 543, 1866, 616, 28966, 5695, 321, 710, 10046, 631, 4394, 563, 306, 3626, 268, 9743, 568, 25080, 10046, 631, 4394, 14273, 267, 4092, 538, 3624, 269, 25080, 10046, 631, 4394, 2472, 616, 1034, 2442, 538, 3345, 3013, 267, 11068, 5101, 267, 543, 8109, 2342, 269, 634, 2136, 2276, 267, 543, 3127, 267, 799, 13143, 476, 4200, 9077, 476, 272, 9077, 543, 476, 272, 260, 540, 25080, 10046, 631, 4394, 6606, 563, 26473, 652, 513, 2372, 1774, 0, 299, 6471, 7738, 568, 513, 1007, 2029, 267, 621, 568, 4742, 811, 11342, 609, 1688, 18988, 5985, 1949, 269, 1703, 616, 1082, 1942, 267, 1072, 267, 3106, 543, 2825, 2640, 547, 1210, 21558, 27686, 607, 606, 4244, 547, 31492, 1025, 8463, 610, 3114, 7738, 912, 25748, 267, 972, 814, 1044, 606, 9542, 538, 4853, 7738, 3156, 547, 1331, 513, 2647, 2039, 540, 24421, 539, 8955, 7738, 610, 632, 1700, 1723, 908, 1949, 1031, 547, 4894, 5862, 689, 10347, 7252, 267, 14816, 13471, 689, 26423, 267, 23678, 557, 7252, 676, 705, 3175, 610, 4894, 5175, 4754, 1944, 21225, 689, 22285, 338, 563, 763, 1646, 540, 8955, 2627, 7738, 729, 6766, 676, 519, 991, 585, 513, 1875, 1700, 629, 337, 5297, 543, 1875, 1700, 327, 1794, 731, 748, 7738, 1184, 602, 568, 849, 513, 5078, 12990, 585, 519, 946, 540, 6464, 610, 31492, 1025, 8463, 1949, 269, 2290, 1883, 1966, 1644, 547, 1034, 540, 519, 6671, 7738, 4066, 568, 519, 5957, 540, 519, 14041, 543, 519, 2942, 2825, 1764, 269, 589, 1962, 5297, 1025, 8463, 14796, 10347, 7252, 543, 5932, 1713, 5666, 540, 3653, 269, 4635, 3114, 30177, 3322, 5277, 3653, 543, 5732, 13818, 22643, 832, 269, 6270, 2042, 3366, 547, 519, 1646, 540, 519, 1101, 8955, 1949, 585, 713, 3483, 563, 5804, 519, 8047, 547, 519, 4853, 2030, 267, 519, 2640, 540, 22795, 585, 2627, 7738, 540, 5214, 543, 22803, 1570, 616, 19788, 1007, 3156, 3232, 563, 8110, 2739, 585, 9427, 5862, 267, 14809, 267, 15309, 267, 17694, 689, 2587, 1194, 7252, 267, 28891, 7738, 267, 1166, 1052, 543, 575, 21488, 7738, 267, 610, 2241, 2489, 2627, 7738, 693, 707, 4853, 3135, 269, 2060, 1100, 32097, 3653, 610, 2825, 5533, 267, 21558, 27686, 666, 581, 1031, 593, 513, 3099, 540, 26828, 1519, 281, 8407, 267, 29322, 267, 6149, 1299, 9160, 267, 3574, 543, 824, 5214, 2326, 269, 1306, 606, 3773, 22429, 267, 938, 8955, 568, 513, 2922, 267, 4756, 1379, 1770, 799, 2636, 519, 11346, 5730, 12879, 540, 519, 1769, 11237, 547, 2973, 4101, 267, 1164, 1871, 7252, 1510, 1216, 267, 6464, 610, 31492, 2326, 563, 763, 8955, 3762, 519, 4540, 12150, 610, 6366, 26828, 899, 7143, 1091, 267, 1166, 5190, 610, 575, 21488, 7252, 538, 741, 3312, 1533, 543, 9444, 5932, 6862, 32290, 4540, 12632, 563, 2691, 519, 6289, 846, 1718, 24421, 539, 11237, 16125, 513, 2627, 267, 519, 8764, 656, 4494, 568, 3274, 11517, 1242, 689, 519, 14041, 543, 649, 946, 513, 2178, 12511, 547, 4894, 519, 32350, 607, 649, 979, 563, 7712, 713, 1505, 1152, 3096, 513, 8955, 11237, 547, 11517, 1125, 519, 13897, 543, 610, 15309, 972, 616, 12777, 1100, 2204, 1963, 2838, 269, 901, 849, 1797, 519, 1184, 568, 2973, 543, 1360, 10357, 7888, 269, 0, 763, 1279, 3887, 1563, 21963, 32120, 568, 513, 2249, 540, 21963, 32120, 5065, 547, 6239, 7489, 2477, 543, 930, 2477, 540, 519, 5664, 5101, 269, 634, 1279, 3887, 1563, 21963, 32120, 2729, 538, 3276, 4900, 602, 621, 2901, 2306, 610, 9060, 543, 568, 13747, 676, 922, 1279, 10772, 269, 898, 568, 2808, 835, 540, 519, 10545, 1647, 9456, 21963, 327, 9233, 563, 13436, 2249, 281, 670, 8354, 327, 9233, 1656, 9855, 337, 1846, 454, 308, 22744, 539, 9484, 476, 1704, 267, 476, 1708, 271, 269, 12650, 3293, 2904, 476, 277, 267, 476, 1001, 276, 476, 2537, 281, 4097, 538, 1133, 24887, 10003, 267, 9459, 563, 16829, 476, 273, 1296, 3516, 0, 8310, 3018, 267, 631, 842, 10830, 700, 687, 11833, 16588, 8845, 11518, 619, 4607, 513, 1289, 689, 5617, 25475, 4210, 664, 267, 513, 5583, 24468, 693, 645, 664, 16504, 3427, 269, 15516, 269, 4210, 664, 2877, 948, 547, 5372, 513, 6292, 540, 7745, 14296, 585, 513, 1970, 13867, 2875, 267, 543, 1352, 6603, 856, 547, 11518, 619, 547, 1118, 2386, 513, 642, 537, 7815, 519, 631, 842, 10830, 700, 687, 11833, 1185, 3177, 585, 24784, 693, 645, 664, 1131, 960, 693, 3689, 14893, 16685, 5516, 563, 297, 27889, 619, 16204, 836, 883, 2962, 269, 2991, 30260, 602, 3689, 14893, 1131, 8956, 519, 642, 537, 7815, 267, 646, 14452, 547, 15516, 269, 4210, 664, 267, 15603, 1200, 917, 602, 3689, 14893, 729, 4712, 547, 948, 519, 1126, 1205, 1010, 10682, 14296, 607, 3533, 607, 2009, 563, 10527, 700, 687, 685, 3804, 538, 713, 11834, 729, 547, 723, 519, 1153, 543, 519, 1904, 2210, 2077, 960, 1927, 5702, 865, 602, 1100, 1344, 827, 519, 1126, 779, 3961, 610, 2564, 1344, 1131, 581, 3838, 2223, 3081, 11518, 619, 269, 968, 763, 700, 687, 1175, 4941, 547, 2628, 585, 519, 3028, 607, 851, 540, 938, 22497, 1107, 1284, 31160, 269, 1284, 616, 1869, 711, 2386, 2436, 621, 729, 513, 7911, 610, 513, 8004, 3034, 763, 700, 687, 11833, 779, 1489, 540, 519, 11617, 15176, 998, 2533, 899, 713, 7389, 1394, 547, 519, 8630, 779, 15713, 936, 513, 2540, 3516, 269, 10374, 569, 1310, 9253, 9109, 13643, 630, 15367, 1131, 723, 9976, 1010, 476, 15221, 560, 14512, 713, 3018, 264, 3964, 519, 1895, 607, 519, 968, 299, 687, 540, 6355, 892, 538, 476, 4489, 278, 267, 519, 700, 687, 3459, 741, 960, 21528, 519, 11617, 15176, 269, 2311, 513, 942, 950, 1082, 9763, 519, 9420, 607, 24835, 762, 540, 1373, 13473, 267, 5885, 2933, 610, 2713, 10446, 267, 519, 700, 687, 2813, 6009, 585, 519, 9420, 543, 3177, 5075, 32182, 538, 3506, 563, 1103, 476, 4572, 273, 267, 519, 700, 687, 540, 595, 32385, 10620, 4280, 3506, 1018, 1453, 945, 941, 9420, 2877, 1034, 269, 11334, 543, 16984, 5612, 4642, 539, 538, 593, 519, 3668, 540, 1875, 14092, 27854, 2542, 1570, 2139, 585, 519, 9420, 269, 4935, 729, 4535, 4139, 19565, 4858, 4068, 13600, 569, 267, 519, 1101, 2909, 4068, 12139, 585, 1453, 4904, 609, 2984, 267, 3756, 267, 543, 13410, 563, 1103, 476, 4572, 276, 267, 24796, 918, 11839, 630, 659, 1260, 3966, 1221, 676, 1200, 4116, 14732, 590, 29229, 264, 9619, 476, 16020, 271, 700, 687, 10356, 585, 741, 5993, 15007, 693, 595, 25729, 8672, 269, 968, 296, 9029, 547, 596, 267, 700, 687, 267, 596, 945, 723, 707, 8289, 267, 707, 6217, 267, 596, 945, 616, 2178, 543, 12703, 543, 2186, 2223, 1767, 918, 11839, 269, 968, 12663, 596, 711, 13822, 3054, 12928, 2074, 540, 519, 32559, 538, 1250, 5880, 1228, 1996, 14334, 9495, 918, 11839, 779, 1913, 2968, 513, 28487, 532, 3956, 585, 519, 700, 687, 267, 945, 941, 8754, 1721, 628, 10069, 1242, 547, 798, 811, 585, 519, 9420, 543, 11617, 15176, 563, 12024, 782, 700, 687, 11833, 338, 267, 519, 631, 842, 10830, 700, 687, 3136, 713, 2245, 2221, 676, 9870, 2724, 547, 4217, 2539, 13867, 7264, 945, 616, 11617, 15176, 269, 634, 631, 842, 10830, 700, 687, 11833, 2488, 5075, 32182, 585, 1970, 13867, 1053, 693, 2199, 3506, 267, 543, 267, 899, 538, 519, 1383, 689, 645, 664, 16504, 1657, 267, 2306, 2386, 11617, 15176, 1053, 1205, 519, 1489, 789, 991, 269, 1358, 1489, 3043, 29647, 3892, 543, 6205, 2915, 2866, 267, 2508, 571, 1047, 676, 9513, 2156, 1682, 538, 519, 25211, 540, 3689, 2817, 7813, 543, 10519, 532, 7515, 267, 512, 757, 543, 23107, 12725, 267, 543, 2445, 2363, 1122, 28904, 543, 948, 3560, 873, 547, 824, 2477, 547, 581, 1065, 584, 12723, 585, 1346, 602, 3112, 6488, 30997, 14485, 269, 1358, 1489, 519, 968, 299, 687, 6796, 16685, 18669, 892, 4092, 593, 3345, 8347, 517, 9335, 267, 799, 1312, 2488, 3750, 1416, 585, 1346, 945, 991, 2883, 6351, 543, 18271, 2043, 945, 616, 9420, 610, 11617, 15176, 563, 3080, 1788, 2282, 543, 15210, 547, 519, 700, 687, 11833, 568, 922, 1489, 540, 8805, 13928, 6229, 267, 513, 1747, 1141, 6250, 1302, 6764, 8529, 31080, 666, 1451, 1983, 547, 948, 4188, 547, 513, 2487, 2530, 538, 5075, 269, 11153, 32300, 513, 1032, 267, 8805, 13928, 6229, 10741, 3294, 909, 585, 11617, 15176, 1453, 547, 1312, 1451, 1271, 4876, 1983, 543, 2972, 519, 1482, 2757, 3786, 2238, 3335, 10150, 676, 741, 8289, 539, 9905, 269, 968, 10144, 689, 782, 2066, 519, 2197, 2097, 547, 3643, 621, 2223, 3081, 11518, 619, 269, 968, 2467, 616, 1360, 1906, 4025, 538, 519, 1533, 1107, 952, 711, 519, 2136, 2276, 1107, 1141, 513, 11617, 15176, 1268, 666, 723, 519, 4960, 547, 7297, 7288, 256, 898, 779, 7168, 2189, 3034, 763, 631, 842, 10830, 700, 687, 849, 7649, 609, 824, 700, 687, 11833, 338, 547, 1489, 3677, 5075, 2861, 7341, 269, 1280, 1383, 267, 789, 7649, 609, 824, 3345, 10491, 2861, 700, 687, 11833, 338, 12422, 547, 1489, 519, 6250, 1302, 6764, 8529, 12287, 674, 5109, 12875, 24842, 538, 519, 4934, 518, 24434, 269, 1358, 849, 7119, 538, 513, 3818, 12641, 889, 1982, 1572, 968, 27778, 7660, 966, 2888, 8750, 571, 16014, 892, 547, 1489, 519, 3345, 10491, 700, 687, 7690, 269, 631, 842, 10830, 11833, 4759, 9291, 631, 1430, 338, 568, 519, 5696, 7660, 966, 2888, 476, 1001, 280, 8750, 24597, 17348, 17367, 269, 5696, 7660, 966, 2888, 1281, 1082, 540, 519, 1482, 1919, 1533, 4204, 602, 741, 8630, 1281, 12725, 563, 4002, 14349, 267, 4728, 476, 2764, 267, 519, 631, 842, 10830, 700, 687, 11833, 786, 3136, 741, 1391, 547, 1489, 519, 11617, 15176, 609, 519, 476, 2420, 526, 5993, 631, 842, 10830, 700, 687, 11833, 476, 276, 330, 269, 2311, 476, 279, 281, 876, 513, 6230, 1421, 28359, 786, 1305, 1055, 689, 16011, 8065, 563, 763, 5198, 814, 4957, 14320, 538, 922, 476, 2420, 1296, 538, 631, 842, 10830, 269, 17813, 4717, 13541, 11518, 619, 1121, 20047, 519, 1101, 5198, 646, 15548, 538, 950, 646, 8678, 519, 8630, 538, 476, 1960, 280, 269, 968, 2005, 3323, 538, 519, 18736, 2603, 540, 645, 664, 16504, 2223, 3081, 11518, 619, 269, 968, 2171, 10416, 4682, 1524, 645, 664, 3427, 10003, 543, 1394, 269, 1703, 941, 6148, 8938, 610, 8938, 19317, 28359, 25568, 1107, 543, 835, 540, 1346, 729, 1250, 835, 4458, 6040, 28461, 28074, 814, 4957, 2094 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3589, 2406, 2212, 7146, 6879, 746, 619, 1657, 519, 1964, 630, 294, 746, 267, 6762, 614, 267, 2806, 321, 5964, 267, 12672, 7322, 5148, 855, 621, 729, 16990, 547, 3605, 9670, 5013, 267, 971, 607, 602, 667, 644, 14712, 2965, 666, 2932, 630, 15290, 646, 779, 711, 10647, 513, 6107, 32316, 1070, 602, 1744, 739, 752, 990, 747, 5129, 1010, 476, 273, 526, 623, 10730, 19270, 15300, 4636, 1107, 855, 1732, 982, 519, 6060, 267, 3092, 4700, 282, 543, 1657, 782, 621, 729, 513, 3992, 538, 6947, 281, 594, 723, 1044, 6947, 547, 8106, 2575, 3592, 968, 2889, 325, 11970, 958, 892, 585, 17288, 1296, 1631, 267, 865, 621, 779, 1100, 9983, 594, 666, 5873, 1034, 540, 1018, 519, 2575, 5505, 666, 282, 855, 711, 782, 1107, 543, 547, 1451, 1018, 789, 4862, 543, 594, 1705, 711, 729, 4241, 563, 2690, 606, 8353, 2867, 1112, 626, 267, 519, 1982, 729, 849, 513, 4154, 332, 710, 540, 7422, 538, 519, 2339, 540, 6492, 281, 621, 11609, 602, 519, 8369, 540, 1346, 538, 519, 1870, 630, 718, 5171, 616, 12372, 543, 2575, 5505, 264, 616, 2484, 1447, 28836, 982, 1346, 540, 519, 804, 3241, 612, 2489, 2551, 630, 3369, 846, 7375, 1373, 4351, 1611, 4986, 1070, 855, 602, 789, 1932, 3068, 519, 11064, 540, 2123, 6492, 269, 8616, 267, 693, 602, 1377, 540, 30483, 267, 519, 11064, 568, 711, 513, 11064, 281, 835, 3112, 948, 855, 24947, 606, 13473, 28836, 6492, 563, 12024, 803, 267, 519, 1857, 4440, 17329, 547, 5873, 1018, 5686, 540, 1507, 3877, 267, 32373, 762, 547, 741, 2150, 11712, 10772, 267, 519, 2575, 5505, 4862, 538, 519, 19827, 543, 1946, 789, 17329, 873, 630, 528, 711, 264, 2443, 543, 621, 8057, 543, 8057, 676, 519, 3018, 269, 1809, 519, 1857, 6010, 532, 729, 519, 1982, 779, 3768, 21749, 281, 519, 25696, 1107, 8106, 5925, 10473, 616, 865, 6126, 547, 723, 513, 2196, 12537, 5734, 1107, 4956, 547, 1118, 621, 513, 1982, 609, 2661, 5304, 538, 519, 18638, 2443, 543, 7551, 2507, 7166, 621, 269, 634, 5171, 3459, 547, 1404, 547, 519, 26847, 2443, 11032, 947, 3320, 6029, 1055, 741, 2144, 644, 819, 267, 1818, 1448, 1652, 24668, 543, 267, 950, 789, 1185, 4986, 547, 2161, 267, 1818, 1919, 909, 2443, 14084, 267, 547, 1289, 513, 838, 1228, 513, 838, 1228, 2443, 607, 952, 9840, 540, 1148, 543, 2575, 2877, 1022, 811, 6013, 543, 21753, 563, 263, 763, 12716, 626, 779, 3992, 1934, 568, 602, 6492, 543, 8226, 666, 581, 5941, 593, 513, 1360, 1164, 1377, 855, 4440, 711, 538, 2516, 3677, 982, 1614, 1916, 1607, 2443, 519, 829, 11437, 540, 519, 2278, 270, 704, 845, 518, 630, 514, 713, 2013, 267, 519, 2575, 5505, 264, 568, 835, 1259, 538, 799, 1967, 19754, 513, 1434, 1982, 282, 519, 4608, 6817, 16519, 3376, 2287, 540, 519, 5304, 568, 1776, 269, 589, 5545, 1796, 5346, 635, 539, 1014, 4171, 1982, 594, 2899, 23032, 593, 5545, 7641, 5143, 803, 646, 11074, 11981, 519, 960, 519, 4090, 1010, 16863, 4682, 936, 476, 276, 10065, 968, 306, 19488, 267, 646, 1767, 267, 594, 4362, 602, 1250, 5304, 4769, 1406, 1205, 1250, 24668, 6100, 3571, 24668, 941, 10995, 543, 2838, 1312, 18854, 543, 6266, 540, 2144, 644, 819, 547, 1205, 2443, 519, 11727, 5304, 2450, 729, 6923, 3908, 269, 1809, 607, 519, 1397, 2968, 811, 2442, 267, 621, 3459, 547, 6560, 547, 3914, 922, 1007, 5304, 267, 543, 1310, 930, 8942, 693, 18997, 519, 5304, 1101, 543, 1287, 693, 546, 17741, 16365, 519, 1543, 267, 519, 3984, 4280, 721, 547, 1491, 1864, 1055, 519, 2011, 563, 32091, 918, 1729, 521, 22119, 1276, 320, 562, 773, 536, 22119, 384, 483, 323, 17844, 2433, 585, 707, 1378, 1434, 267, 2221, 594, 4465, 1406, 581, 25122, 538, 713, 10732, 563, 314, 296, 3100, 8572, 547, 3247, 14443, 532, 8885, 2639, 4263, 2547, 519, 6264, 1606, 933, 788, 1148, 1686, 538, 799, 835, 2511, 19674, 856, 540, 1776, 543, 5159, 616, 11014, 8840, 267, 20546, 532, 267, 543, 24057, 8089, 269, 634, 1494, 614, 779, 960, 729, 1018, 568, 2356, 17941, 968, 15517, 532, 892, 2443, 968, 710, 696, 892, 1131, 581, 791, 565, 924, 282, 5310, 968, 3534, 604, 892, 1131, 581, 513, 1434, 2262, 282, 1498, 6157, 968, 1872, 569, 892, 1131, 1869, 4019, 269, 769, 2110, 267, 621, 729, 899, 519, 1964, 540, 519, 968, 14142, 532, 5608, 968, 30161, 1681, 5608, 968, 1478, 628, 8089, 892, 543, 968, 577, 718, 27701, 892, 892, 1740, 892, 856, 972, 269, 634, 4990, 540, 960, 4171, 2930, 13546, 696, 3363, 568, 6045, 2476, 676, 575, 5241, 2689, 619, 607, 1813, 547, 621, 1373, 865, 1360, 1007, 2443, 968, 514, 2038, 5933, 540, 1646, 9731, 10501, 1190, 547, 917, 1946, 1352, 2306, 1018, 1352, 2306, 267, 594, 7722, 1200, 538, 6643, 827, 1200, 960, 543, 4362, 602, 1352, 1185, 2760, 1044, 547, 519, 2199, 15882, 547, 1413, 693, 519, 20341, 972, 630, 1492, 2749, 5026, 835, 540, 519, 1655, 22739, 15882, 538, 519, 1158, 5148, 814, 2760, 4862, 540, 540, 594, 345, 14269, 802, 630, 821, 540, 519, 1158, 779, 1283, 1614, 9754, 585, 594, 345, 23364, 20341, 568, 1152, 2947, 12919, 2476, 689, 1200, 18638, 5148, 543, 1185, 513, 22394, 10206, 602, 4457, 13143, 268, 1602, 24394, 1185, 1044, 1500, 676, 519, 14082, 563, 296, 1185, 513, 2178, 2631, 540, 513, 632, 10937, 642, 340, 281, 513, 14440, 4116, 1185, 2899, 21334, 539, 547, 803, 693, 519, 2672, 341, 7568, 629, 21065, 328, 19633, 2443, 21334, 539, 1510, 519, 13581, 652, 19583, 540, 19849, 14536, 2443, 602, 1352, 1185, 2760, 4862, 540, 667, 1580, 4815, 2480, 22611, 3430, 328, 563, 6962, 281, 952, 621, 5654, 899, 519, 960, 540, 606, 17399, 600, 639, 267, 621, 4440, 568, 269, 1403, 596, 1810, 1406, 917, 519, 2250, 267, 596, 5749, 1406, 24057, 8089, 621, 267, 616, 596, 888, 263, 17357, 3326, 776, 476, 272, 281, 1656, 952, 596, 6785, 621, 267, 596, 4440, 9327, 1406, 581, 1916, 263, 17357, 3326, 776, 476, 273, 281, 1403, 596, 1810, 1406, 3314, 519, 2250, 267, 596, 666, 1406, 1256, 10956, 621, 1916, 5415, 2341, 532, 519, 4775, 21721, 2443, 610, 1018, 12472, 776, 5369, 5505, 543, 589, 20469, 634, 528, 1235, 1223, 1451, 689, 16373, 3194, 454, 8512, 476, 273, 540, 476, 274, 454, 314, 4415, 11184, 595, 779, 2062, 321, 30970, 2639, 1607, 1382, 1957, 3081, 17094, 956, 616, 1851, 519, 1560, 2934, 2547, 6976, 3007, 547, 676, 1761, 4638, 4891, 269, 6145, 782, 971, 4574, 676, 12105, 16895, 267, 621, 14543, 547, 2232, 519, 2243, 1100, 6725, 11001, 1131, 2479, 26777, 281, 1281, 519, 14919, 1239, 538, 1249, 29572, 519, 2497, 540, 519, 7613, 12462, 21466, 14615, 286, 2334, 568, 547, 2161, 267, 1281, 12716, 1719, 538, 17094, 956, 5581, 513, 1978, 2551, 2443, 835, 1851, 7247, 519, 21721, 568, 513, 1713, 6221, 286, 630, 22818, 1256, 968, 1492, 1034, 1713, 892, 286, 1916, 1607, 5856, 779, 1582, 268, 10849, 3569, 5267, 281, 9811, 563, 2252, 865, 267, 1287, 2501, 519, 29511, 2243, 281, 952, 865, 267, 1287, 1018, 3116, 568, 2189, 827, 713, 1016, 31228, 286, 17610, 569, 267, 789, 616, 711, 782, 2545, 3429, 3670, 20356, 19317, 267, 1957, 1606, 7219, 2740, 18939, 540, 5101, 3864, 8425, 787, 609, 513, 2178, 1719, 538, 19831, 6575, 267, 3864, 22968, 267, 1350, 18968, 20341, 267, 543, 5545, 27825, 286, 1656, 952, 711, 2443, 616, 972, 1022, 2934, 789, 2671, 286, 1656, 3648, 281, 711, 1175, 6492, 2934, 2443, 1775, 4318, 269, 968, 718, 21721, 18798, 4782, 1025, 4637, 892, 630, 2193, 8765, 711, 3020, 264, 1700, 855, 968, 4777, 782, 21721, 2000, 13569, 723, 17094, 956, 2933, 9495, 610, 281, 968, 4777, 782, 21721, 2000, 13569, 4755, 547, 723, 606, 3063, 17489, 1647, 9416, 538, 519, 1318, 1688, 9495, 264, 634, 2344, 518, 786, 849, 1616, 547, 917, 2443, 594, 1058, 2161, 30109, 1616, 547, 917, 2443, 875, 547, 3914, 873, 2443, 1018, 2923, 789, 4585, 267, 1018, 17476, 789, 1224, 267, 3092, 563, 4692, 596, 1294, 1018, 594, 993, 6117, 693, 286, 570, 4292, 607, 513, 6456, 2497, 540, 8103, 2336, 1103, 1250, 2070, 267, 12472, 776, 5369, 5505, 267, 899, 12716, 1235, 630, 663, 782, 19174, 538, 2489, 1070, 1131, 4324, 7494, 689, 513, 1576, 610, 1079, 538, 6725, 1382, 269, 1280, 3236, 267, 12326, 540, 519, 2622, 24334, 7027, 1131, 4001, 873, 602, 912, 320, 264, 519, 3003, 6995, 1673, 8667, 518, 2551, 538, 519, 1158, 666, 581, 5258, 883, 1896, 1360, 1808, 2516, 630, 325, 1168, 518, 982, 4557, 264, 2443, 609, 2463, 547, 519, 1880, 6995, 8137, 1142, 1895, 27422, 3248, 321, 264, 602, 2818, 540, 1346, 2516, 616, 1336, 782, 936, 519, 1158, 2443, 855, 711, 14961, 282, 789, 616, 538, 1249, 3262, 26686, 1176, 281, 585, 3236, 267, 519, 13283, 585, 513, 6995, 6492, 4330, 676, 3318, 512, 7539, 607, 968, 10767, 660, 12285, 892, 2982, 909, 782, 936, 519, 8608, 267, 1256, 538, 630, 560, 650, 264, 6140, 6995, 268, 1652, 3624, 267, 855, 568, 513, 1713, 32469, 538, 1152, 1079, 6082, 593, 3618, 281, 12996, 543, 519, 5177, 630, 17641, 8631, 267, 552, 327, 286, 5148, 711, 519, 5354, 267, 2247, 596, 267, 607, 538, 968, 2004, 260, 1341, 272, 31865, 855, 1713, 32469, 267, 2495, 519, 4102, 540, 519, 1082, 18441, 267, 835, 2356, 1804, 2614, 547, 27774, 922, 16919, 547, 1866, 630, 527, 11887, 1018, 4991, 2322, 593, 2706, 21466, 21684, 11850, 322, 264, 1142, 971, 1895, 5161, 267, 538, 1114, 17114, 267, 540, 513, 2182, 2275, 648, 630, 4754, 1406, 6133, 873, 513, 5144, 344, 1309, 653, 1075, 3626, 952, 741, 1272, 31030, 593, 621, 264, 6902, 543, 554, 13377, 593, 630, 4754, 4235, 1022, 6995, 267, 3622, 4782, 26151, 12285, 267, 855, 6126, 547, 2119, 8726, 3025, 3116, 568, 2348, 693, 519, 4090, 5148, 519, 554, 13377, 593, 666, 581, 4421, 513, 1114, 1587, 267, 519, 2182, 2275, 648, 2443, 1152, 2899, 3248, 323, 264, 519, 2027, 13344, 2838, 547, 1118, 513, 6995, 2389, 2120, 630, 320, 2067, 10516, 568, 2838, 4553, 676, 14021, 2866, 264, 771, 23974, 1518, 513, 1268, 689, 10213, 596, 1018, 789, 899, 281, 1004, 945, 723, 13820, 539, 513, 1390, 4308, 540, 6995, 1419, 666, 1406, 1118, 909, 741, 2247, 543, 267, 538, 4357, 267, 2965, 2490, 856, 547, 581, 7401, 268, 610, 10433, 1673, 8667, 619, 282, 610, 3116, 8532, 971, 513, 2647, 3099, 540, 30756, 4315, 602, 789, 798, 711, 2887, 883, 1022, 540, 519, 3376, 6688, 2933, 282, 538, 824, 1913, 267, 519, 1184, 540, 2866, 606, 4274, 267, 1312, 8325, 839, 3283, 6492, 543, 267, 538, 513, 2631, 267, 21219, 621, 563, 2005, 568, 1250, 554, 4875, 267, 1759, 593, 1296, 540, 10647, 6725, 1382, 267, 602, 711, 1152, 1281, 519, 6492, 538, 17094, 956, 267, 855, 519, 16919, 538, 22968, 543, 7206, 543, 6189, 2196, 519, 1482, 1259, 281, 1082, 10195, 540, 20102, 22424, 26702, 267, 4440, 2182, 2914, 1600, 6492, 1790, 10915, 3720, 12462, 2304, 330, 956, 17373, 968, 22517, 10849, 17373, 5148, 543, 1063, 873, 513, 4262, 540, 554, 13377, 593, 267, 945, 4755, 547, 2161, 789, 899, 2473, 1317, 741, 3993, 1705, 267, 610, 741, 8004, 23136, 1281, 267, 543, 723, 930, 23440, 609, 621, 543, 930, 18941, 585, 621, 267, 855, 945, 2731, 1810, 1406, 723, 4376, 602, 1223, 581, 1572, 6492, 540, 741, 1378, 12462, 296, 1031, 547, 899, 17711, 855, 1631, 899, 1630, 334, 2763, 892, 5148, 543, 10977, 1369, 713, 4262, 281, 968, 23024, 1206, 892, 2443, 2282, 268, 558, 16622, 2803, 267, 7487, 3388, 267, 536, 3530, 1194, 676, 621, 782, 267, 543, 2760, 6956, 676, 4896, 3116, 945, 3112, 4952, 1018, 621, 568, 899, 547, 917, 811, 982, 789, 798, 563, 8512, 476, 272, 540, 476, 274, 454, 314, 5629, 1586, 267, 649, 14443, 519, 8912, 5752, 267, 547, 3142, 596, 938, 2487, 18759, 540, 519, 11184, 4211, 3620, 919, 3562, 22345, 685, 655, 3099, 2639, 763, 6727, 12625, 540, 4832, 814, 3361, 519, 4023, 3023, 547, 6749, 4430, 7802, 543, 2408, 1354, 721, 630, 333, 22022, 264, 607, 2470, 814, 1500, 873, 269, 1656, 2470, 814, 1500, 873, 267, 621, 1131, 2408, 2443, 11212, 256, 2443, 1510, 519, 2443, 5657, 4531, 1116, 4745, 2443, 521, 753, 519, 861, 2617, 658, 554, 16636, 2443, 20534, 2587, 15252, 267, 538, 2110, 2443, 2470, 814, 1500, 873, 2443, 21721 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17635, 1513, 2187, 3546, 2418, 18380, 314, 12534, 316, 815, 5286, 269, 31412, 3287, 314, 11034, 532, 16182, 343, 5157, 13912, 11034, 532, 16182, 343, 5157, 27994, 12534, 5334, 3278, 5157, 316, 3910, 15254, 318, 3333, 16747, 5157, 7481, 27030, 2018, 1948, 6218, 543, 1205, 519, 27080, 454, 2018, 905, 1998, 267, 575, 815, 2530, 3052, 2784, 263, 11161, 18380, 267, 2132, 21223, 1998, 18989, 994, 27030, 2018, 1948, 30337, 519, 27080, 883, 513, 6366, 3337, 454, 2018, 5552, 815, 5286, 25910, 9272, 15481, 994, 2018, 585, 1775, 267, 12534, 538, 26246, 17635, 1513, 2187, 3546, 5552, 314, 11034, 532, 16182, 343, 5157, 13912, 11034, 532, 16182, 343, 5157, 27994, 12534, 5334, 3278, 5157, 14963, 815, 5286, 15126, 14116, 314, 12534, 316, 1040, 29788, 1084, 4590, 27030, 2018, 2132, 905, 1998, 267, 5552, 28329, 1038, 2132, 3473, 9272, 15481, 267, 859, 531, 6958, 684, 267, 2878, 29220, 16911, 994, 1038, 1948, 2132, 3473, 9272, 15481, 267, 859, 531, 6958, 684, 267, 476, 272, 2676, 4449, 567, 1948, 2834, 16014, 6958, 4233, 284, 10585, 16014, 6958, 4233, 2676, 4449, 567, 1948, 12939, 532, 6958, 4233, 284, 628, 11611, 532, 6958, 4233, 267, 2878, 29220, 16911, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1523, 540, 834, 13512, 12371, 257, 1369, 519, 6626, 2796, 540, 844, 650, 1740, 267, 513, 7111, 1977, 7499, 2245, 602, 3322, 1210, 11188, 24189, 710, 610, 824, 3662, 844, 1571, 547, 1711, 6946, 6272, 593, 1585, 2326, 971, 607, 2840, 577, 13626, 267, 12308, 267, 610, 16463, 269, 1284, 786, 2263, 875, 4207, 5159, 899, 6004, 11020, 31683, 268, 1320, 1512, 787, 2871, 24297, 616, 5368, 614, 31147, 543, 3048, 908, 2390, 891, 3504, 2553, 538, 741, 960, 269, 3414, 6313, 1010, 4062, 834, 2791, 6733, 27202, 2437, 649, 2832, 547, 1174, 875, 6335, 532, 13352, 883, 519, 3677, 2259, 540, 844, 650, 1740, 543, 5660, 922, 4644, 1312, 13840, 543, 538, 1459, 6377, 2442, 2528, 780, 296, 269, 8466, 12745, 540, 3828, 12371, 538, 2372, 650, 1740, 454, 288, 269, 17959, 540, 2372, 650, 1740, 1851, 7087, 27639, 454, 272, 269, 634, 946, 540, 844, 1571, 607, 16560, 2609, 7389, 1394, 5215, 540, 1296, 454, 273, 269, 19043, 540, 844, 1571, 538, 5289, 2853, 543, 17174, 3961, 454, 289, 269, 4886, 540, 3828, 12371, 26435, 454, 272, 269, 7216, 844, 2683, 3688, 5097, 12286, 6366, 267, 9788, 16365, 844, 1571, 454, 273, 269, 4985, 540, 27390, 844, 1571, 3773, 10155, 1275, 543, 6988, 547, 6272, 454, 290, 269, 29526, 543, 12791, 19992, 3828, 13554, 18963, 454, 272, 269, 2983, 6248, 5546, 6719, 1114, 3344, 540, 2470, 543, 1272, 454, 273, 269, 3828, 12371, 3090, 1242, 9322, 267, 4222, 267, 543, 13916, 692, 2862, 269, 12634, 19873, 725, 540, 3828, 12371, 538, 2372, 650, 1740, 454, 288, 269, 12472, 540, 10049, 543, 13088, 454, 272, 269, 2997, 22355, 540, 10991, 8925, 547, 2067, 844, 1571, 454, 273, 269, 25790, 538, 14398, 1161, 543, 2627, 7041, 2409, 454, 289, 269, 11154, 532, 12465, 10613, 585, 7073, 589, 652, 12060, 454, 272, 269, 10395, 1588, 540, 6335, 532, 609, 7206, 267, 30927, 267, 610, 29950, 1740, 454, 273, 269, 16709, 540, 1007, 4798, 3564, 3140, 18305, 454, 290, 269, 8865, 5530, 281, 6004, 11020, 31683, 268, 1320, 1512, 787, 2871, 24297, 781, 834, 2791, 6733, 27202, 4840, 272, 269, 16949, 540, 6335, 532, 4480, 883, 3623, 802, 10547, 8228, 1184, 454, 273, 269, 645, 1245, 5104, 868, 777, 3789, 540, 7524, 4778, 543, 7493, 3029, 454, 274, 269, 17583, 547, 4683, 15312, 543, 1402, 1148, 5389, 692, 7656, 269, 8836, 25684, 543, 8177, 540, 3828, 12371, 538, 2372, 650, 1740, 4653, 454, 288, 269, 27264, 27557, 543, 4065, 9024, 328, 2510, 454, 272, 269, 4860, 1388, 1436, 540, 18577, 1702, 998, 11925, 543, 2146, 3292, 454, 273, 269, 11622, 725, 1063, 6805, 5159, 543, 4207, 9439, 454, 289, 269, 2561, 10187, 566, 5288, 269, 6184, 17508, 538, 15019, 9177, 454, 272, 269, 13891, 622, 4478, 2686, 3261, 566, 538, 2413, 1148, 543, 1374, 454, 273, 269, 21344, 2463, 585, 6561, 1247, 11319, 3860, 6302, 454, 290, 269, 8892, 19648, 585, 3828, 12371, 538, 2372, 650, 1740, 454, 272, 269, 15783, 5610, 609, 3059, 4066, 543, 5691, 4641, 2833, 454, 273, 269, 8033, 4240, 2208, 543, 4720, 998, 3444, 14426, 5385, 543, 5647, 692, 1103, 3932, 267, 3695, 519, 1523, 540, 6335, 532, 1369, 844, 650, 1740, 2636, 721, 547, 1732, 10146, 875, 3504, 7499, 5389, 666, 1217, 543, 8300, 4207, 1148, 2853, 269, 1635, 7421, 1568, 899, 6004, 11020, 31683, 268, 1320, 1512, 787, 2871, 24297, 781, 834, 2791, 6733, 27202, 2437, 649, 2744, 3407, 4030, 883, 519, 11972, 1379, 540, 2686, 6698, 543, 2553, 1247, 19825, 519, 2956, 540, 5876, 267, 9542, 267, 543, 5647, 538, 8497, 543, 14027, 938, 3838, 7499, 6561, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16031, 11020, 31683, 268, 774, 1512, 787, 2871, 24297, 1411, 6733, 27202, 8125, 802, 10547, 7179, 676, 6004, 11020, 31683, 268, 774, 1512, 787, 2871, 24297, 454, 303, 21332, 1411, 6733, 27202, 476, 277, 4211, 565, 528, 7435, 6261, 592, 1194, 17290, 9990, 8125, 802, 10547, 7179, 593, 7435, 1546, 1188, 1194, 20963, 3203, 7433, 676, 6004, 11020, 31683, 268, 774, 1512, 787, 2871, 24297, 27824, 9335, 3203, 25587, 7377, 3203, 1740, 30310, 269, 476, 1001, 279, 6178, 539, 1299, 715, 3518, 1229, 17290, 9990, 540, 476, 1911, 3203, 1740, 12025, 476, 3953, 343, 3953, 14520, 2681, 5496, 1820, 593, 31150, 1148, 1957, 269, 3962, 5496, 1820, 568, 593, 1688, 2389, 1941, 31150, 1148, 1957, 543, 568, 9896, 543, 22921, 267, 609, 513, 14853, 1820, 593, 519, 1394, 269, 9990, 540, 476, 1911, 7179, 12025, 281, 476, 3953, 1535, 476, 3953, 538, 10738, 519, 6422, 1158, 540, 1402, 1148, 543, 8265, 1148, 19674, 606, 859, 25607, 20100, 11331, 834, 2791, 6733, 27202, 2437, 513, 476, 277, 4211, 565, 528, 7435, 6261, 592, 1194, 17290, 9990, 8125, 802, 10547, 7179, 18705, 676, 519, 12021, 7376, 6004, 11020, 31683, 268, 774, 1512, 787, 2871, 24297, 269, 901, 5888, 267, 609, 922, 16799, 540, 12050, 19440, 5022, 1305, 1996, 606, 7493, 20457, 267, 20206, 12885, 519, 7376, 781, 15040, 2511, 267, 799, 16900, 31498, 600, 919, 2609, 540, 4683, 15312, 543, 2757, 1402, 1148, 1099, 1172, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23562, 12371, 257, 607, 851, 540, 834, 11286, 1315, 9828, 1315, 2372, 650, 1740, 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, 278, 281, 634, 13642, 6520, 540, 645, 754, 15282, 910, 589, 674, 12302, 16709, 540, 519, 8241, 7108, 27538, 16527, 692, 1103, 713, 3184, 267, 649, 5490, 883, 519, 4241, 3140, 1974, 540, 519, 8241, 7108, 27538, 16527, 267, 4481, 2519, 593, 519, 2749, 540, 645, 754, 15282, 267, 15117, 269, 3414, 519, 7828, 540, 11174, 5708, 267, 649, 2263, 519, 1764, 540, 519, 4154, 19060, 593, 519, 1507, 4884, 267, 922, 11317, 267, 543, 519, 2518, 2146, 269, 1284, 3513, 4983, 875, 519, 6602, 540, 4154, 8032, 645, 754, 15282, 781, 3961, 267, 4346, 267, 543, 2528, 1247, 5373, 19320, 1063, 519, 2250, 543, 1459, 780, 296, 269, 17553, 519, 8609, 281, 12745, 783, 1944, 519, 8241, 7108, 27538, 16527, 692, 6524, 11362, 883, 519, 25727, 540, 645, 754, 15282, 781, 1995, 1282, 519, 4154, 19060, 267, 621, 568, 1898, 547, 1174, 519, 6626, 2796, 540, 713, 13710, 942, 538, 8241, 1686, 269, 769, 519, 2038, 476, 866, 628, 2540, 267, 519, 3703, 7276, 729, 693, 922, 8445, 267, 6117, 17091, 3646, 2066, 519, 8608, 269, 1306, 851, 540, 713, 7269, 267, 6628, 3964, 10336, 10125, 538, 5245, 267, 3056, 547, 2799, 1719, 538, 519, 11782, 781, 2200, 269, 1717, 267, 621, 7012, 1405, 2394, 519, 6602, 540, 4154, 602, 5245, 1131, 1831, 513, 1713, 6345, 593, 519, 1158, 3942, 780, 2862, 269, 1133, 16225, 532, 7108, 281, 634, 20570, 2334, 932, 6548, 18421, 692, 20112, 1185, 1044, 1336, 26742, 611, 1227, 2429, 5245, 2094, 3864, 11175, 3459, 282, 2705, 267, 1804, 8397, 8906, 7283, 21792, 269, 2334, 4957, 950, 1079, 2021, 267, 20152, 17394, 543, 27813, 10787, 22641, 267, 16686, 2390, 4154, 2282, 1018, 568, 1631, 1634, 607, 645, 754, 15282, 15880, 538, 476, 6977, 272, 269, 6478, 3533, 3262, 827, 741, 1265, 267, 5337, 1746, 513, 5951, 540, 9194, 26080, 538, 8241, 1686, 269, 3683, 9519, 267, 645, 754, 15282, 2968, 513, 11275, 585, 19539, 32339, 267, 5326, 619, 267, 543, 7045, 3464, 689, 1472, 519, 8608, 780, 7656, 269, 4425, 558, 26165, 2349, 1132, 281, 5020, 4438, 645, 754, 15282, 781, 13642, 6520, 692, 2026, 1004, 1166, 18088, 547, 645, 754, 15282, 538, 3406, 540, 5763, 267, 519, 2899, 9602, 6917, 18296, 23384, 4028, 20012, 269, 570, 757, 17708, 1540, 909, 7258, 2306, 31183, 15945, 267, 2892, 9398, 267, 543, 13989, 31508, 269, 1635, 519, 3735, 476, 5197, 271, 338, 267, 645, 754, 15282, 1630, 16556, 1566, 12040, 20730, 267, 6264, 1857, 5656, 267, 543, 17715, 4357, 4036, 1878, 1107, 1082, 3710, 1210, 12725, 29170, 3072, 32498, 269, 6736, 891, 29413, 10450, 267, 1272, 538, 519, 14297, 1558, 24227, 1223, 581, 10792, 267, 3226, 585, 1346, 945, 8452, 609, 9909, 540, 11495, 621, 3638, 855, 26218, 519, 2556, 1983, 610, 3854, 269, 26269, 1851, 19379, 729, 18979, 267, 543, 13253, 1419, 10443, 1164, 269, 20222, 267, 2068, 267, 543, 6710, 941, 28125, 267, 7206, 513, 22880, 4334, 547, 519, 1350, 7867, 532, 3239, 4843, 676, 3811, 19379, 543, 11639, 780, 4353, 269, 8490, 513, 22684, 281, 9483, 28620, 543, 7831, 532, 12186, 692, 4407, 1367, 6830, 17480, 14589, 539, 543, 530, 534, 539, 267, 645, 754, 15282, 781, 2949, 13884, 4797, 547, 1332, 2429, 519, 4154, 19060, 1296, 269, 2060, 16012, 5763, 3357, 7760, 538, 5989, 267, 2069, 267, 543, 2029, 269, 12565, 1811, 5532, 645, 754, 15282, 547, 24332, 543, 3564, 267, 14123, 4123, 543, 2792, 269, 12140, 267, 10506, 267, 543, 8021, 8118, 741, 9885, 267, 23695, 547, 519, 24567, 2551, 269, 3958, 267, 10124, 899, 17453, 6173, 2209, 19117, 4154, 10868, 2409, 267, 7175, 4514, 15183, 3873, 30835, 543, 811, 3608, 26995, 3157, 269, 1452, 7835, 9788, 519, 24536, 585, 2413, 6377, 645, 754, 15282, 267, 4180, 602, 922, 9371, 607, 513, 4099, 540, 2872, 543, 5647, 28815, 1279, 1310, 519, 2063, 562, 1872, 1326, 540, 4154, 729, 11552, 691, 1117, 780, 309, 269, 23155, 21126, 281, 12634, 22627, 543, 14484, 687, 692, 15987, 9674, 676, 5553, 267, 4296, 666, 1869, 581, 6537, 1063, 645, 754, 15282, 781, 4154, 19060, 5736, 543, 4207, 2486, 269, 1280, 3236, 267, 5717, 4478, 4199, 2359, 267, 2825, 5726, 267, 543, 1514, 9698, 2611, 4143, 2221, 269, 5015, 267, 2984, 540, 6043, 267, 20440, 267, 543, 16177, 16079, 998, 5481, 267, 22348, 721, 602, 8103 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13495, 822, 752, 563, 17359, 17856, 22791, 1321, 2567, 2997, 27232, 597, 553, 267, 2997, 752, 335, 2313, 7032, 267, 2997, 10440, 267, 2997, 4545, 267, 2997, 27232, 752, 3873, 267, 2997, 6545, 8527, 553, 267, 2997, 752, 874, 8403, 267, 2997, 27232, 597, 3333, 320, 267, 2997, 752, 577, 337, 583, 328, 267, 2997, 27232, 2590, 320, 267, 2997, 698, 267, 7442, 752, 889, 329, 10440, 267, 2997, 752, 6390, 267, 2997, 752, 777, 2313, 7032, 267, 966, 344, 822, 752, 531, 3570, 267, 2997, 698, 321, 327, 6072, 267, 2997, 534, 332, 4157, 3873, 267, 2997, 698, 329, 333, 3570, 267, 966, 344, 822, 752, 531, 7534, 267, 2997, 698, 321, 327, 15676, 563, 15507, 1336, 476, 277, 2835, 543, 2984, 5627, 2997, 752, 267, 2997, 5953, 330, 267, 17487, 478, 341, 752, 282, 630, 680, 584, 1023, 1331, 281, 2997, 6545, 267, 2997, 5953, 802, 267, 17487, 478, 341, 6545, 1040, 1411, 666, 849, 4945, 547, 519, 2407, 7650, 5627, 2296, 21849, 32461, 269, 12989, 616, 1463, 6402, 585, 519, 1034, 4143, 4930, 912, 294, 1173, 320, 6341, 327, 7534, 630, 12626, 264, 630, 2421, 8355, 822, 597, 717, 657, 342, 9564, 994, 19723, 572, 476, 273, 269, 279, 269, 4366, 2999, 1496, 6637, 476, 279, 910, 13517, 540, 22628, 7083, 918, 9719, 505, 23973, 22170, 320, 2639, 309, 619, 525, 476, 277, 269, 279, 269, 1015, 268, 1556, 2999, 1496, 6637, 476, 279, 910, 634, 3057, 17699, 540, 2353, 519, 19803, 2639, 2419, 7159, 1415, 320, 13225, 698, 822, 1092, 630, 2421, 13225, 636, 760, 10620, 667, 5953, 21542, 994, 299, 867, 15917, 698, 337, 10216, 538, 16130, 9085, 630, 2421, 1323, 785, 7534, 1520, 327, 1731, 926, 994, 300, 1695, 629, 9618, 1092, 630, 12626, 264, 630, 2421, 918, 529, 926, 15011, 534, 717, 836, 25625, 994, 303, 611, 14390, 611, 327, 1301, 553, 600, 6588, 3873, 543, 27526, 599, 752, 663, 8932, 630, 2421, 717, 22462, 24048, 808, 3873, 994, 17806, 476, 6246, 281, 2201, 6611, 630, 13312, 23410, 264, 2999, 1496, 6637, 476, 276, 910, 2986, 519, 10067, 5953, 321, 327, 19476, 339, 553, 630, 19575, 1493, 7698, 15240, 1734, 22708, 25823, 777, 24048, 1532, 19207, 2006, 320, 630, 2421, 25840, 17378, 9934, 264, 0, 13349, 2012, 281, 661, 28009, 631, 14007, 9791, 589, 3258, 630, 4932, 289, 994, 12626, 2012, 281, 292, 28009, 5336, 26120, 9791, 589, 3258, 454, 5825, 539, 547, 20586, 12896, 2942, 8937, 4551, 267, 2523, 897, 6134, 543, 32740, 897, 6134, 2516, 563, 290, 11857, 5420, 568, 513, 6404, 9422, 1587, 5423, 676, 5841, 2409, 267, 4481, 585, 15451, 14713, 267, 9668, 267, 8446, 267, 1382, 267, 543, 11091, 269, 634, 17757, 821, 8659, 538, 552, 28009, 4544, 31893, 2488, 3327, 543, 9436, 2959, 267, 8324, 267, 543, 2208, 2188, 282, 962, 8811, 784, 543, 2725, 559, 534, 616, 9063, 10832, 602, 666, 849, 21391, 519, 2208, 540, 12896, 2318, 4551, 282, 8000, 9914, 7250, 19552, 6411, 607, 513, 9063, 17280, 282, 589, 3258, 568, 513, 30243, 592, 656, 585, 519, 2528, 5420, 282, 32587, 846, 568, 513, 7542, 618, 762, 4006, 563, 8248, 696, 821, 267, 16702, 582, 9914, 7250, 19552, 267, 26178, 267, 31893, 8869, 267, 13525, 267, 543, 824, 2528, 5420, 2326, 616, 1984, 539, 543, 26437, 563, 5475, 840, 2389, 13015, 2687, 547, 26838, 4441, 267, 519, 5439, 941, 26912, 4327, 883, 513, 2528, 5420, 693, 476, 3607, 13008, 476, 272, 21508, 481, 585, 476, 1240, 268, 2190, 3108, 267, 543, 519, 2164, 941, 4767, 563, 292, 2675, 615, 747, 807, 19546, 9428, 1134, 267, 609, 3109, 10125, 543, 513, 17285, 561, 13831, 282, 27187, 27193, 574, 584, 1756, 9428, 1134, 267, 609, 2681, 1652, 543, 6037, 1075, 550, 10125, 282, 634, 2208, 540, 853, 20942, 19905, 28857, 568, 7409, 1243, 563, 272, 269, 901, 2528, 5420, 568, 1152, 1031, 585, 3621, 1382, 563, 273, 269, 634, 6394, 15013, 1590, 581, 26912, 4327, 543, 31796, 607, 4166, 607, 2009, 547, 2327, 4977, 2164, 563, 274, 269, 634, 15013, 1031, 543, 741, 14713, 3653, 1058, 581, 2808, 607, 5732, 11763, 6878, 543, 1058, 581, 26356, 540, 538, 13076, 609, 519, 5665, 4441, 540, 11763, 2068, 20682, 563, 275, 349, 1789, 21508, 481, 267, 6740, 2476, 689, 1769, 563, 7987, 494, 20540, 540, 14496, 7987, 495, 454, 763, 14496, 1974, 568, 476, 274, 1296, 563, 272, 269, 26838, 476, 275, 4281, 280, 269, 277, 268, 1001, 277, 2817, 5253, 8881, 9208, 910, 5843, 6798, 1670, 22410, 540, 5253, 910, 22410, 540, 18521, 615, 747, 807, 19546, 4929, 13165, 454, 273, 269, 26838, 476, 275, 4281, 280, 269, 4343, 268, 1001, 273, 2817, 5253, 8881, 9208, 585, 5843, 6798, 1670, 22410, 540, 5253, 910, 2037, 636, 3130, 540, 18521, 615, 747, 807, 19546, 454, 274, 14371, 289, 318, 476, 14689, 8064, 268, 1220, 273, 318, 5754, 8162, 545, 4441, 585, 25551, 7254, 3202, 2472, 454, 275, 269, 19301, 20081, 476, 14631, 279, 269, 272, 268, 1220, 276, 13832, 585, 519, 19369, 540, 9177, 9012, 3487, 476, 272, 281, 4937, 14362, 585, 10866, 2667, 4269, 540, 12524, 9177, 9012, 19369, 454, 276, 269, 19301, 20081, 476, 14631, 279, 269, 273, 268, 1220, 278, 13832, 585, 519, 19369, 540, 9177, 9012, 3487, 476, 273, 281, 19750, 13832, 585, 13437, 13281, 540, 9177, 9012, 454, 277, 269, 654, 306, 20081, 476, 22446, 268, 1220, 273, 10866, 6184, 18936, 30332, 585, 20497, 19287, 658, 9177, 9012, 454, 278, 269, 26838, 476, 275, 4281, 280, 269, 2764, 268, 1001, 274, 10866, 21976, 585, 9177, 9012, 543, 1234, 698, 757, 585, 5843, 6798, 1670, 13281, 540, 5253, 0, 2691, 1034, 1004, 1589, 540, 21190, 267, 789, 4952, 26372, 539, 2043, 538, 4158, 11623, 9361, 593, 741, 5904, 269, 1717, 267, 6880, 322, 3234, 10904, 2097, 538, 782, 5546, 543, 7306, 268, 930, 616, 1175, 3168, 585, 513, 2656, 2628, 1485, 1247, 1866, 723, 811, 17351, 6859, 269, 27725, 619, 2308, 26030, 2264, 543, 26122, 6285, 547, 7519, 4213, 538, 1840, 547, 27560, 2724, 269, 901, 568, 1946, 4027, 689, 21190, 568, 811, 2629, 982, 2479, 563, 10000, 11845, 707, 11422, 267, 3156, 543, 707, 519, 2780, 269, 5455, 30098, 4368, 3301, 20924, 21190, 666, 17908, 547, 21102, 610, 1569, 1239, 269, 8073, 3354, 623, 2562, 338, 585, 707, 5985, 3457, 543, 1152, 4647, 3156, 602, 616, 3015, 689, 4013, 813, 8637, 269, 2422, 10957, 9946, 547, 1711, 543, 4383, 5150, 18538, 267, 607, 1134, 269, 2142, 18762, 950, 14467, 19035, 6402, 543, 14775, 547, 15737, 689, 7164, 6494, 619, 563, 1103, 845, 707, 4871, 610, 5491, 3556, 2754, 5612, 952, 1044, 513, 6408, 269, 1411, 949, 581, 9783, 513, 1007, 5491, 3556, 610, 2272, 1297, 543, 789, 786, 1832, 3950, 540, 707, 2534, 585, 18977, 8852, 269, 1403, 707, 1239, 729, 15600, 543, 24290, 267, 596, 1590, 5150, 621, 269, 2407, 12210, 14238, 568, 3044, 609, 8837, 543, 5839, 5308, 547, 2327, 602, 267, 1256, 21190, 2744, 1569, 547, 707, 1239, 267, 789, 786, 581, 538, 1100, 2990, 547, 1569, 707, 1239, 630, 20360, 3298, 685, 9779, 299, 29420, 543, 11197, 779, 11711, 309, 5435, 616, 1312, 2442, 5079, 1916, 16729, 891, 4808, 786, 2569, 707, 1981, 540, 4742, 513, 6880, 13062, 830, 6408, 269, 27725, 619, 616, 2141, 5275, 2653, 9072, 269, 1635, 2921, 513, 1906, 5100, 15416, 543, 9001, 2500, 4027, 1996, 21190, 685, 3301, 596, 666, 2972, 707, 2228, 942, 1510, 20468, 827, 6880, 13062, 830, 269, 0, 293, 9200, 23726, 10814, 15920, 1344, 607, 8654, 267, 1818, 621, 1454, 5488, 543, 849, 20501, 982, 7601, 12904, 269, 898, 11338, 19299, 1454, 2362, 19961, 4390, 936, 3476, 9832, 269, 2638, 602, 454, 763, 19670, 3167, 5365, 568, 1101, 5828, 547, 8654, 693, 519, 31092, 1439, 267, 1210, 513, 1907, 3957, 606, 900, 7867, 269, 2201, 519, 17513, 2427, 267, 713, 1769, 568, 2965, 4957, 1394, 547, 606, 3167, 1129, 998, 513, 18785, 269, 5816, 454, 763, 4099, 540, 513, 6775, 23726, 10814, 267, 1572, 519, 4295, 267, 2535, 919, 538, 513, 2101, 1909, 538, 1175, 875, 3648, 3308, 4191, 666, 3362, 2951, 269, 17266, 2173, 1712, 16060, 723, 513, 1454, 4130, 21092, 3119, 543, 849, 1450, 519, 1769, 547, 1246, 1152, 835, 2619, 799, 2306, 621, 2009, 585, 519, 13525, 547, 2951, 1256, 20991, 1354, 621, 2115, 547, 581, 1036, 992, 539, 563, 291, 13424, 1242, 9623, 568, 27573, 5196, 17426, 18819, 602, 616, 2965, 16487, 1524, 519, 4837, 6775, 693, 29702, 2282, 519, 3432, 540, 26149, 269, 4495, 519, 20512, 3914, 741, 1747, 267, 789, 616, 2965, 1232, 760, 22363, 547, 606, 3239, 267, 6846, 610, 1256, 2854, 4143, 1344, 563, 11372, 574, 1712, 6775, 2636, 1114, 1895, 902, 540, 1769, 12345, 267, 1572, 5468, 267, 547, 1491, 2034, 10092, 3842, 519, 10814, 269, 901, 5932, 519, 1367, 6712, 540, 513, 3059, 11733, 547, 3914, 741, 18353, 693, 513, 2370, 1114, 3255, 267, 6721, 513, 31495, 13133, 566, 1572, 1110, 531, 22502, 563, 293, 9200, 25852, 11863, 513, 2603, 18334, 267, 20501, 267, 607, 1134, 607, 3476, 26591, 2792, 543, 1129, 4483, 982, 6093, 7601, 10260, 269, 1358, 616, 2965, 10123, 513, 2603, 811, 11259, 547, 8733, 4632, 267, 899, 14927, 1145, 543, 13590, 13779, 563, 3080, 3078, 946, 540, 6775, 19945, 6776, 5647, 568, 17916, 2837, 16116, 909, 269, 901, 14122, 8220, 513, 2757, 10917, 15392, 1770, 547, 606, 5122, 10814, 3808, 2059, 609, 513, 6775, 19945, 6776, 9300, 602, 7140, 519, 9300, 6364, 1318, 883, 14726, 538, 1769, 2059, 519, 5911, 563, 2026, 606, 1383, 267, 26778, 3096, 713, 2186, 540, 6602, 547, 6895, 585, 519, 15287, 540, 3282, 610, 824, 22247, 7135, 896, 22855, 269, 1879, 513, 13451, 568, 2965, 6444, 267, 519, 1062, 8850, 695, 7491, 1524, 519, 1134, 543, 15920, 856, 513, 31015, 547, 4600, 5171, 269, 901, 23352, 519, 10421, 585, 12284, 547, 13948, 4983, 1134, 21650, 267, 513, 19408, 607, 1134, 607, 3454, 532, 5650, 563, 293, 9200, 25852, 616, 2965, 1031, 547, 1847, 5872, 4191, 538, 513, 2647, 3099, 540, 3156, 267, 1519, 1357, 543, 849, 10814, 8613, 3028, 269, 1358, 616, 11338, 1500, 946, 540, 538, 1454, 811, 693, 16151, 5054, 267, 899, 896, 22855, 10814, 751, 4582, 2888, 563, 18893, 673, 11103, 4183, 22204, 540, 4837, 602, 771, 704, 572, 1769, 20512, 269, 634, 4295, 543, 804, 32061, 723, 1114, 31659, 17523, 267, 799, 536, 1742, 19670, 26149, 693, 513, 3877, 1793, 656, 269, 901, 6087, 519, 13525, 547, 2951, 535, 1513, 2476, 1510, 513, 1713, 2530, 538, 5122, 1379, 563, 763, 2702, 547, 4743, 2199, 2242, 538, 10917, 267, 5219, 547, 607, 7856, 8143, 16116, 909, 630, 291, 4811, 1070, 568, 835, 540, 519, 2101, 3096, 540, 9804, 6775, 269, 901, 1106, 540, 15392, 1770, 949, 12398, 513, 24694, 1759, 2390, 2656, 12381, 538, 519, 2837, 1377, 540, 519, 2666, 610, 1256, 519, 10260, 593, 922, 1378, 269, 901, 6602, 1935, 568, 1367, 540, 1379, 607, 1134, 607, 11438, 856, 711, 5352, 5906, 1699, 13141, 1149, 267, 1818, 621, 11371, 1231, 1227, 5150, 563, 763, 8720, 607, 1134, 607, 3119, 1711, 606, 9804, 5951, 7666, 728, 602, 13739, 338, 519, 1769, 9250, 883, 621, 269, 769, 1931, 547, 798, 713, 267, 519, 5951, 7666, 728, 1058, 581, 2965, 1863, 689, 16538, 2930, 12503, 1519, 4160, 543, 10804, 566, 563, 1607, 568, 1946, 6775, 23726, 15791, 3769, 1079, 3355, 4110, 19736, 281, 3138, 657, 2989, 10612, 607, 1134, 607, 3908, 17280, 269, 10753, 657, 2989, 10612, 3568, 2789, 2582, 2173, 1712, 6775, 538, 606, 3063, 2000, 1618, 267, 11315, 8546, 2407, 540, 15074, 602, 3813, 999, 519, 6775, 4947, 689, 14927, 1145, 267, 2943, 7125, 585, 513, 10178, 856, 10189, 585, 27296, 19944, 6672, 563, 2005, 568, 513, 2922, 267, 3114, 1202, 639, 1061, 1043, 1587, 602, 949, 581, 737, 1074, 344, 2047, 5196, 519, 9804, 8142, 269, 898, 849, 814, 2731, 1434, 1085, 4428, 532, 4027, 543, 849, 568, 2965, 2356, 1031, 538, 700, 306, 313, 295, 12904, 630, 322, 739, 6954, 540, 10300, 11077, 602, 1711, 13818, 8673, 13189, 607, 1134, 607, 3679, 538, 27307, 1916, 288, 15006, 4759, 568, 2965, 8246, 547, 2087, 519, 8465, 26176, 2088, 540, 6775, 23726, 10814, 269, 898, 568, 9112, 689, 9157, 1587, 267, 899, 513, 1090, 573, 20612, 630, 611, 3431, 5219, 547, 607, 3223, 341, 24882, 1070, 602, 25309, 519, 3196, 4294, 547, 7485, 519, 10814, 8613, 563, 2005, 666, 3362, 849, 1683, 4187, 547, 8143, 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 ]
[ 637, 6577, 602, 1520, 31151, 623, 709, 560, 2443, 7548, 540, 1072, 693, 519, 8303, 20513, 540, 6925, 267, 8783, 10629, 693, 519, 670, 20110, 339, 601, 5937, 24586, 543, 4651, 540, 519, 29787, 3057, 4897, 623, 709, 560, 2443, 6700, 602, 713, 5650, 581, 1031, 18368, 269, 634, 3243, 549, 6953, 2426, 4115, 7276, 1185, 7036, 539, 519, 10554, 538, 667, 637, 6577, 1996, 513, 20457, 540, 26601, 5028, 8623, 12515, 602, 941, 10825, 811, 6385, 538, 2342, 609, 519, 12625, 540, 519, 9252, 29539, 269, 898, 729, 16122, 547, 3044, 1125, 3486, 31741, 6042, 1996, 519, 3262, 540, 891, 1007, 1072, 6937, 563, 2690, 1520, 31151, 623, 709, 560, 267, 1022, 15435, 729, 1101, 6417, 693, 519, 10665, 269, 1261, 4718, 538, 519, 1072, 1780, 1636, 513, 811, 6098, 4528, 540, 31741, 543, 519, 6697, 540, 834, 10849, 3569, 257, 693, 519, 22178, 15756, 630, 320, 31741, 4087, 585, 4262, 16831, 6162, 1040, 634, 1072, 1780, 1636, 729, 3976, 513, 1797, 540, 16439, 1004, 2808, 28105, 543, 5248, 908, 873, 538, 2013, 789, 2968, 31916, 269, 634, 6662, 729, 547, 2061, 834, 719, 3691, 6545, 262, 540, 5563, 267, 543, 713, 5650, 1500, 621, 2009, 547, 834, 716, 3533, 543, 3927, 257, 2443, 1354, 621, 729, 1932, 3735, 563, 7093, 1203, 633, 26912, 1637, 267, 593, 519, 824, 1688, 267, 729, 1152, 2009, 585, 519, 20575, 267, 543, 729, 1152, 5227, 585, 1346, 1034, 693, 1981, 630, 7945, 607, 10986, 21149, 532, 9635, 1040, 769, 1840, 267, 623, 709, 560, 2808, 26912, 1637, 547, 581, 1447, 2500, 982, 7453, 834, 338, 534, 3202, 13178, 257, 585, 1896, 4128, 269, 3689, 267, 621, 729, 711, 16601, 282, 2034, 267, 621, 1705, 711, 2149, 7783, 855, 28105, 1004, 282, 543, 3791, 267, 621, 13251, 1152, 2110, 3856, 12046, 563, 3719, 519, 1072, 1780, 1636, 729, 711, 1510, 922, 13915, 269, 3502, 1152, 1705, 519, 3703, 15518, 566, 711, 1129, 519, 6876, 6603, 693, 519, 667, 637, 6577, 10554, 267, 855, 519, 2898, 2856, 540, 513, 1072, 1780, 1636, 729, 15653, 269, 634, 20380, 3703, 2564, 4760, 634, 31102, 5462, 602, 891, 1072, 1780, 7964, 941, 834, 340, 1088, 612, 262, 1317, 789, 1223, 581, 535, 1023, 1881, 543, 23696, 267, 607, 789, 2838, 513, 1480, 5989, 602, 729, 19018, 622, 547, 741, 1072, 2773, 563, 8867, 8891, 527, 4750, 4395, 2985, 689, 5412, 476, 4489, 273, 2443, 17421, 281, 24157, 1054, 11726, 4302, 3084, 324, 632, 5333, 454, 20442, 666, 581, 1978, 602, 1100, 971, 3561, 786, 2479, 581, 2838, 540, 1004, 21945, 538, 713, 2197, 610, 538, 930, 540, 519, 1034, 4359, 2477, 593, 519, 11782, 2437, 519, 4760, 11943, 563, 1692, 547, 2491, 713, 18349, 286, 623, 709, 560, 22309, 519, 3703, 834, 12221, 1968, 257, 1935, 799, 2443, 4352, 25516, 593, 922, 1378, 3037, 2443, 729, 10353, 547, 1022, 2268, 2693, 547, 14207, 3486, 4123, 269, 1280, 519, 8783, 10629, 540, 519, 670, 20110, 339, 601, 5937, 24586, 267, 519, 3703, 1062, 729, 711, 547, 581, 23652, 269, 1403, 519, 834, 321, 650, 540, 1072, 2437, 519, 6697, 540, 519, 834, 8234, 14664, 2437, 4122, 1031, 676, 25501, 2094, 693, 2547, 519, 476, 1704, 628, 2540, 267, 729, 4443, 547, 17982, 267, 621, 729, 1447, 2500, 689, 513, 1072, 1448, 540, 2070, 563, 11101, 267, 519, 3288, 23579, 345, 1922, 18311, 1935, 547, 19455, 538, 519, 2296, 10125, 729, 17672, 269, 769, 476, 6245, 277, 267, 621, 1185, 3366, 547, 519, 3262, 540, 519, 20575, 547, 3127, 267, 1141, 5215, 540, 1004, 5747, 269, 634, 1482, 666, 581, 1767, 540, 519, 5920, 540, 26601, 5028, 538, 5527, 538, 476, 6642, 274, 267, 476, 5197, 276, 543, 476, 5002, 273, 267, 1141, 519, 3703, 7810, 8128, 1185, 711, 2322, 538, 1747, 7850, 7254, 3202, 3800, 563, 8601, 3703, 19385, 766, 267, 543, 609, 519, 4417, 540, 18229, 689, 519, 476, 4350, 271, 338, 27477, 267, 519, 2622, 2657, 9257, 5189, 606, 834, 514, 1181, 1049, 15149, 540, 12674, 610, 605, 29091, 9471, 1701, 3767, 811, 4122, 1634, 607, 519, 834, 312, 3641, 9315, 2437, 621, 2968, 25471, 267, 2523, 585, 2951, 547, 1978, 3979, 2477, 1141, 834, 754, 2438, 257, 3676, 630, 7945, 607, 5835, 8611, 610, 13663, 264, 616, 513, 8594, 711, 585, 519, 25165, 267, 945, 616, 7142, 547, 834, 331, 633, 609, 257, 891, 1085, 712, 2471, 267, 855, 585, 17631, 563, 2467, 781, 513, 2462, 3017, 267, 18562, 267, 1063, 519, 5835, 3556, 543, 519, 865, 10777, 834, 26542, 1780, 1636, 1701, 634, 8545, 1131, 9886, 12046, 543, 5191, 540, 3350, 538, 4025, 2808, 834, 11794, 2437, 1247, 519, 5835, 3556, 5795, 30707, 519, 1318, 547, 2951, 538, 2477, 6444, 607, 834, 684, 11794, 257, 2443, 1510, 267, 540, 1576, 267, 8744, 741, 834, 680, 8046, 262, 1394, 547, 519, 1558, 1886, 565, 2478, 540, 3638, 267, 2919, 543, 10322, 28895, 2477, 563, 265, 13825, 25612, 331, 548, 631, 269, 2806, 328, 7304, 3737, 568, 513, 10629, 676, 2866, 267, 2564, 14787, 543, 12314, 11001, 693, 519, 2405, 658, 629, 540, 7070, 7313, 267, 8303, 269, 3571, 5767, 1433, 568, 1306, 325, 584, 12011, 6614, 327, 281, 589, 3778, 540, 8496, 1145, 267, 7073, 640, 267, 543, 2782, 538, 519, 5664, 5101, 630, 300, 3951, 4964, 267, 476, 1708, 271, 1916, 1607, 3056, 3943, 3232, 11356, 2274, 631, 27475, 9497, 763, 2622, 8442, 729, 8547, 538, 5412, 476, 3707, 275, 538, 519, 21987, 540, 2622, 2782, 4083, 269, 4653, 267, 621, 568, 7856, 538, 476, 6344, 2477, 269, 769, 3735, 476, 1001, 271, 267, 513, 2468, 334, 4646, 676, 24839, 7137, 613, 267, 2473, 32667, 715, 1408, 543, 4223, 628, 24586, 28522, 21692, 3576, 513, 9013, 476, 5038, 269, 276, 260, 7196, 538, 519, 11356, 563, 16605, 909, 609, 519, 1158, 269, 16505, 856, 540, 519, 19389, 563, 14294, 909, 547, 938, 2769, 569, 3486, 3232, 20394, 2336, 763, 30693, 1995, 1223, 2490, 22266, 585, 1346, 7142, 547, 2661, 609, 14077, 945, 1131, 711, 20496, 513, 4759, 540, 519, 1920, 2713, 741, 4638, 10066, 16175, 607, 513, 1762, 2937, 269, 3371, 616, 2984, 689, 4683, 543, 6917, 3127, 563, 19751, 476, 866, 267, 476, 1708, 272, 454, 6781, 6062, 329, 603, 1185, 1044, 2324, 607, 513, 5925, 795, 15736, 538, 519, 7013, 4095, 2749, 540, 774, 597, 340, 7079, 13183, 777, 340, 1090, 950, 519, 5046, 268, 866, 6855, 5734, 538, 4728, 267, 476, 1708, 271, 269, 1879, 519, 2229, 13684, 513, 18487, 27579, 267, 2806, 6062, 329, 603, 8120, 547, 519, 6917, 11202, 534, 600, 628, 527, 3279, 8664, 2073, 1141, 1010, 3237, 2661, 609, 606, 6905, 1920, 267, 1519, 796, 3380, 267, 30980, 543, 22594, 563, 292, 697, 8696, 3275, 2663, 267, 646, 27416, 602, 519, 1995, 729, 834, 684, 321, 792, 762, 257, 1317, 646, 1185, 547, 2661, 609, 4630, 2684, 11131, 14077, 269, 834, 30509, 689, 519, 7928, 4704, 547, 1250, 4638, 1412, 629, 17884, 1275, 3299, 789, 3576, 803, 547, 513, 575, 15843, 10202, 547, 1412, 10810, 262, 803, 2437, 2806, 6062, 329, 603, 27416, 269, 834, 3891, 5795, 803, 1945, 547, 3548, 267, 799, 1500, 803, 12235, 909, 269, 634, 575, 15843, 21407, 803, 602, 594, 729, 18530, 909, 8726, 1412, 12047, 517, 262, 729, 28429, 803, 543, 1412, 14708, 262, 803, 14447, 4799, 15900, 538, 476, 1708, 272, 267, 2806, 6062, 329, 603, 24964, 1394, 547, 774, 597, 340, 7079, 13183, 777, 340, 1090, 267, 1141, 646, 1336, 1489, 689, 519, 2818, 540, 519, 20210, 7104, 563, 11900, 18944, 676, 741, 960, 267, 646, 849, 4956, 547, 960, 2509, 10575, 14823, 519, 20210, 2146, 269, 834, 296, 6999, 1100, 835, 3116, 4422, 998, 519, 2790, 8194, 594, 723, 28815, 2437, 1767, 2806, 6062, 329, 527, 563, 6781, 6062, 329, 603, 781, 1650, 540, 2790, 11605, 16109, 689, 1920, 6057, 7140, 856, 547, 581, 782, 1932, 1455, 1851, 2818, 540, 3127, 781, 11806, 266, 2146, 267, 1082, 540, 7247, 941, 16290, 538, 741, 5321, 543, 6569, 689, 9263, 1489, 2516, 1282, 519, 6855, 563, 302, 653, 4809, 1753, 3871, 454, 2026, 3127, 5170, 547, 556, 601, 689, 513, 6855, 602, 814, 10645, 811, 2729, 630, 20720, 267, 276, 2190, 264, 538, 1614, 3275, 540, 519, 2034, 5951, 630, 19688, 11219, 2317, 476, 1708, 272, 264, 982, 538, 519, 835, 1032, 1354, 602, 630, 14341, 267, 31634, 7972, 538, 4728, 476, 1708, 271, 5336, 1105, 476, 1708, 272, 1070, 519, 11806, 2146, 814, 5185, 16221, 2042, 269, 20351, 18441, 723, 13840, 11124, 689, 13416, 14882, 543, 519, 6855, 814, 24395, 730, 8739, 20300, 16526, 267, 1128, 580, 730, 1920, 543, 12250, 1242, 6057, 267, 6306, 689, 12145, 1569, 547, 1898, 1416, 269, 901, 814, 8507, 538, 8650, 2790, 11605, 799, 814, 16397, 20210, 1489, 5989, 2066, 519, 2197, 563, 11854, 1136, 547, 20210, 7104, 13222, 2066, 3127, 267, 594, 4121, 602, 519, 15398, 2157, 540, 11605, 538, 519, 2146, 729, 1813, 547, 32618, 2188, 602, 941, 15427, 896, 27579, 2175, 269, 7731, 2818, 945, 616, 703, 26985, 540, 12790, 4638, 9163, 267, 1419, 11090, 3101, 741, 10066, 607, 513, 834, 4134, 4650, 257, 610, 834, 3286, 513, 5123, 2580, 723, 2141, 12286, 1851, 519, 1292, 10419, 21116, 540, 11029, 543, 16765, 3029, 540, 5208, 2509, 20210, 267, 1098, 543, 28305, 1004, 563, 290, 8712, 689, 8350, 321, 2103, 543, 1098, 2367, 547, 2061, 7142, 22888, 1282, 9376, 23957, 563, 306, 1952, 14833, 1280, 25734, 267, 513, 918, 13083, 1092, 2861, 15594, 3919, 602, 1568, 585, 519, 2924, 540, 16770, 12790, 2021, 543, 1098, 2367, 267, 6592, 513, 2147, 7678, 269, 7216, 538, 519, 1101, 5951, 267, 519, 3919, 7691, 602, 519, 4540, 927, 680, 710, 1297, 729, 3478, 16397, 609, 11605, 7125, 269, 898, 3773, 513, 2034, 927, 680, 710, 1297, 269, 634, 13354, 5515, 5815, 513, 476, 1724, 24670, 7914, 538, 2338, 281, 689, 476, 23310, 7125, 538, 4989, 476, 1001, 280, 5336, 1105, 476, 736, 547, 476, 274, 267, 280, 2412, 7125, 538, 4989, 476, 1708, 271, 5336, 599, 476, 1708, 272, 563, 257, 7197, 540, 519, 7125, 649, 723, 1044, 3478, 689, 8350, 321, 2103, 543, 1098, 2367, 616, 14849, 22587, 547, 2061, 7142, 22888, 1282, 9376, 23957, 2437, 1767, 1744, 516, 657, 328, 267, 513, 590, 1952, 14833, 4759, 543, 9263, 1489, 8502, 269, 834, 2252, 789, 4755, 547, 5706, 267, 789, 616, 2901, 859, 1112, 539, 610, 7142, 547, 25176, 1753, 269, 1809, 1141, 547, 2777, 873, 286, 1703, 5749, 1405, 865, 1082, 24181, 267, 543, 23600, 568, 693, 2407, 4390, 4799, 4537, 516, 657, 328, 3081, 602, 519, 2470, 540, 11605, 7125, 814, 849, 4957, 269, 834, 28606, 17067, 1004, 1131, 1289, 538, 585, 1279, 3856, 948, 267, 971, 607, 3318, 2790, 1072, 1489, 269, 1809, 1282, 519, 6855, 267, 621, 814, 4957, 547, 7525, 13668, 547, 15063, 689, 26568, 1753, 3871, 269, 10705, 267, 789, 786, 3717, 538, 26866, 619, 865, 602, 519, 3237, 666, 1405, 5873, 4799, 299, 871, 540, 5624, 454, 12024, 1082, 540, 1010, 8284, 20210, 2146, 2818, 267, 1272, 585, 5681, 527, 623, 1421, 513, 476, 1789, 4458, 6040, 14447, 812, 689, 29180, 267, 814, 3144, 513, 2490, 585, 519, 8338, 269, 634, 27579, 814, 3366, 547, 519, 2530, 540, 2922, 5624, 543, 12675, 15335, 693, 1753, 563, 24679, 814, 1044, 513, 2731, 2352, 942, 2094, 519, 4098, 540, 519, 27579, 269, 594, 993, 7092, 689, 513, 2603, 540, 2790, 2566, 2094, 594, 3112, 11884, 2769, 8885, 693, 1753, 269, 4634, 1247, 1818, 513, 1289, 267, 594, 723, 547, 2638, 1250, 10450, 547, 1294, 952, 24455, 568, 972, 269, 1403, 594, 2119, 547, 979, 856, 267, 1250, 1920, 7569, 606, 7778, 269, 594, 1745, 3411, 11343, 2437, 646, 1767, 563, 763, 6855, 814, 7142, 930, 20210, 1004, 547, 2097, 856, 454, 11764, 527, 568, 849, 7231, 609, 513, 1981, 602, 814, 5734, 519, 2146, 9875, 982, 1866, 1107, 13864, 543, 4747, 17732, 269, 1261, 781, 8118, 513, 1309, 10623, 609, 1079, 824, 20210, 2828, 267, 799, 568, 1631, 4881, 883, 9271, 269, 1280, 1866, 267, 6855, 14001, 2816, 9271, 723, 7142, 20210, 7606, 689, 782, 936, 519, 2197, 547, 2132, 547, 741, 1753, 2829, 543, 1847, 538, 609, 741, 3885, 945, 4312, 5828, 29880, 1282, 713, 1279, 1974, 540, 30693, 563, 299, 1442, 23957, 3196, 4947, 856, 454, 6097, 547, 918, 13083, 1092, 2861, 10629, 267, 4670, 20447, 543, 14447, 2924, 19191, 570, 9500, 1678, 541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4467, 1842, 2572, 1475, 1911, 28327, 1475, 280, 1475, 1428, 270, 278, 1475, 20670, 1475, 268, 1475, 2008, 23277, 996, 12935, 1475, 313, 333, 302, 1700, 301, 328, 10870, 273, 302, 275, 715, 22661, 1475, 295, 2678, 739, 23461, 1475, 1911, 28327, 1475, 277, 269, 6858, 1475, 4391, 270, 11260, 1475, 7742, 1475, 268, 1475, 2008, 19064, 323, 1700, 23895, 302, 273, 715, 22661, 1475, 291, 14563, 1475, 1911, 28327, 1475, 277, 269, 4817, 1475, 268, 1475, 1220, 1475, 29710, 6032, 321, 1475, 2008, 347, 295, 29558, 1475, 303, 339, 1700, 10157, 301, 1700, 27409, 302, 273, 1475, 291, 14563, 26260, 2678, 739, 23461, 1475, 276, 28327, 1475, 3451, 269, 280, 1475, 268, 1475, 22550, 1475, 2004, 6032, 321, 1475, 2008, 347, 313, 313, 306, 670, 22143, 338, 1475, 291, 14563, 1475, 1911, 28327, 1475, 1839, 269, 278, 1475, 1321, 270, 3393, 1475, 6110, 1475, 4335, 6032, 321, 1475, 2008, 18871, 323, 302, 1700, 1103, 273, 302, 274, 24857, 338, 1475, 295, 2678, 739, 23461, 1475, 2004, 28327, 1475, 7761, 1475, 277, 270, 1321, 1475, 15171, 1475, 1911, 6032, 321, 1475, 2008, 30106, 565, 340, 2940, 1475, 303, 339, 1700, 5938, 302, 273, 1700, 31333, 32065, 1475, 291, 14563, 270, 4467, 1842, 2572, 1475, 2004, 28327, 1475, 3393, 1475, 736, 270, 4335, 1475, 1220, 1475, 268, 1475, 2008, 347, 10382, 6363, 324, 273, 302, 274, 1700, 301, 328, 302, 6289, 665, 528, 1023, 1475, 295, 2678, 739, 23461, 1475, 2004, 28327, 1475, 3393, 269, 275, 1475, 268, 1475, 12573, 1475, 2420, 6032, 321, 1475, 2008, 16085, 23245, 5464, 1475, 295, 273, 1475, 288, 340, 6261, 339, 4211, 22143, 338, 1475, 291, 14563, 270, 4467, 1842, 2572, 1475, 4335, 28327, 1475, 3451, 1475, 277, 269, 277, 270, 1240, 1475, 20670, 1475, 268, 1475, 2008, 16085, 333, 302, 273, 21610, 328, 302, 11483, 301, 310, 338, 1475, 295, 2678, 739, 23461, 1475, 4335, 28327, 1475, 14625, 1475, 6344, 270, 32133, 1475, 4335, 1475, 271, 269, 280, 28327, 1475, 2008, 347, 4596, 1475, 288, 340, 1700, 15512, 1700, 294, 320, 273, 302, 274, 32065, 338, 1475, 291, 14563, 1475, 1911, 28327, 1475, 275, 269, 279, 1475, 2641, 269, 1691, 270, 2641, 269, 4097, 1475, 20670, 1475, 268, 1475, 2008, 347, 301, 321, 1700, 302, 5960, 1700, 273, 715, 22661, 1475, 291, 14563, 1475, 273, 28327, 1475, 2420, 1475, 1839, 270, 2412, 1475, 20670, 1475, 268, 1475, 2008, 347, 301, 328, 302, 1700, 307, 328, 302, 273, 670, 22143, 338, 1475, 295, 2678, 739, 23461, 1475, 2004, 28327, 1475, 273, 269, 5881, 1475, 1015, 270, 736, 1475, 20670, 1475, 272, 28327, 1475, 2008, 347, 294, 23259, 1700, 307, 328, 302, 273, 715, 22661, 1475, 291, 14563, 1475, 1789, 6032, 321, 1475, 4037, 1475, 274, 270, 275, 1475, 7742, 1475, 10384, 533, 696, 1475, 2008, 347, 295, 273, 306, 1475, 27409, 302, 273, 1700, 32271, 1475, 4467, 1842, 2572, 1475, 1015, 28327, 1475, 1704, 269, 280, 1475, 1321, 270, 15389, 1475, 3583, 1475, 8618, 6032, 321, 1475, 2008, 347, 313, 333, 302, 1700, 313, 333, 27409, 302, 274, 715, 20745, 1475, 295, 2678, 739, 23461, 1475, 1789, 28327, 1475, 15389, 269, 280, 1475, 1691, 270, 2918, 1475, 13679, 1475, 10384, 6032, 321, 1475, 2008, 347, 10890, 5464, 1475, 10907, 564, 821, 1475, 298, 310, 302, 1700, 307, 328, 274, 290, 273, 307, 311, 1475, 4467, 1842, 2572, 1475, 273, 269, 10436, 28327, 1475, 273, 269, 276, 1475, 268, 1475, 20670, 1475, 268, 1475, 2008, 347, 10382, 6363, 324, 273, 302, 274, 1700, 27409, 302, 273, 1475, 295, 2678, 739, 23461, 1475, 272, 28327, 1475, 276, 269, 4391, 1475, 1691, 270, 3583, 1475, 22430, 1475, 271, 269, 275, 28327, 1475, 2008, 19064, 339, 1700, 27409, 302, 273, 715, 22661, 1475, 291, 14563, 1475, 276, 28327, 1475, 25090, 269, 273, 1475, 1321, 269, 278, 25773, 1475, 12573, 1475, 1911, 6032, 321, 1475, 2008, 24820, 340, 1700, 17442, 8722, 302, 274, 715, 24871, 1475, 291, 14563, 1475, 2412, 28327, 1475, 10219, 1475, 2918, 270, 736, 1475, 1911, 1475, 29045, 6032, 321, 1475, 2008, 19064, 339, 303, 323, 1700, 310, 302, 274, 715, 22661, 1475, 291, 14563, 1475, 272, 28327, 1475, 9032, 269, 276, 1475, 275, 269, 273, 270, 14225, 1475, 4968, 1475, 272, 269, 5881, 6032, 321, 1475, 2008, 347, 20685, 12935, 1475, 32271, 1700, 303, 3198, 328, 1700, 14154, 302, 1475, 4467, 1842, 2572, 1475, 1220, 28327, 1475, 273, 269, 272, 1475, 1789, 270, 21857, 1475, 20670, 1475, 1428, 28327, 1475, 2008, 30106, 321, 1700, 1103, 273, 302, 274, 24857, 338, 1475, 291, 14563, 1475, 1911, 28327, 1475, 14689, 269, 279, 1475, 272, 270, 2568, 1475, 13136, 1475, 268, 1475, 2008, 763, 7127, 568, 689, 476, 1015, 269, 26552, 271, 11305, 1335, 657, 839, 832, 3445, 279, 25171, 279, 454, 268, 5548, 2107, 2041, 28741, 4302, 345, 267, 667, 5919, 932, 334, 267, 594, 5919, 18708, 267, 670, 5919, 932, 16211, 267, 808, 5919, 918, 836, 267, 631, 5919, 26284, 267, 918, 2529, 5919, 8614, 784, 267, 595, 11065, 5919, 12390, 267, 590, 15030, 5919, 5244, 267, 594, 269, 623, 339, 6289, 739, 23461, 29959, 676, 2199, 8652, 31516, 10282, 585, 1970, 27703, 29512, 10687, 321, 755, 542, 7250, 8596, 269, 589, 5425, 10331, 269, 30594, 631, 831, 269, 476, 1708, 271, 267, 476, 275, 267, 476, 278, 1700, 1321, 563, 268, 13690, 267, 661, 11065, 5919, 1530, 334, 267, 670, 14389, 269, 4400, 569, 6213, 6101, 24957, 7020, 1210, 1134, 268, 7955, 539, 2098, 4532, 12547, 23282, 19298, 24704, 676, 3114, 8602, 18254, 4480, 269, 10049, 476, 1001, 280, 267, 476, 1321, 267, 476, 7742, 563, 268, 623, 2946, 30959, 267, 681, 11482, 5919, 15718, 8403, 267, 595, 9950, 5919, 5244, 267, 808, 28629, 5919, 932, 16211, 267, 808, 15030, 5919, 2782, 1676, 267, 594, 8160, 269, 3213, 908, 2861, 21247, 12627, 2890, 25270, 7020, 2409, 540, 13476, 4143, 19979, 5214, 7135, 269, 6314, 657, 839, 832, 476, 1708, 272, 267, 476, 280, 267, 476, 14631, 563, 268, 18681, 267, 670, 269, 304, 5919, 30715, 267, 645, 5919, 13535, 267, 654, 269, 304, 5919, 20568, 267, 2473, 11482, 269, 3194, 593, 513, 3728, 268, 24978, 8143, 19428, 9300, 1759, 593, 3327, 31407, 4209, 14842, 269, 11576, 832, 476, 1001, 279, 267, 476, 1240, 267, 476, 25546, 272, 563, 268, 26284, 267, 962, 13034, 5919, 13201, 534, 267, 667, 5919, 667, 784, 267, 645, 15030, 5919, 1284, 328, 267, 808, 269, 311, 5919, 8575, 267, 962, 8160, 5919, 31481, 267, 717, 28629, 5919, 4911, 267, 918, 15030, 5919, 10557, 267, 595, 14389, 269, 2353, 1673, 773, 10431, 2627, 10276, 327, 2331, 18342, 10338, 2861, 3154, 9300, 1210, 11461, 16982, 269, 589, 5425, 10331, 269, 631, 831, 269, 3955, 5865, 476, 1001, 279, 267, 476, 1015, 267, 476, 4343, 273, 7761, 1700, 4343, 273, 8064, 563, 268, 631, 27323, 22119, 1690, 322, 5414, 330, 267, 808, 5919, 645, 773, 548, 1188, 328, 267, 2098, 5919, 853, 864, 23495, 345, 267, 570, 5919, 3911, 592, 14150, 267, 808, 5919, 654, 19390, 339, 553, 267, 808, 5919, 590, 345, 629, 571, 267, 667, 5919, 30766, 6390, 267, 15662, 479, 5919, 1160, 330, 641, 328, 4157, 267, 589, 5919, 7395, 787, 3279, 267, 623, 269, 24544, 540, 31529, 7135, 609, 1114, 2553, 269, 5450, 549, 269, 2725, 553, 269, 5204, 560, 269, 476, 1001, 277, 267, 476, 2537, 267, 476, 13078, 1700, 23470, 563, 268, 808, 1014, 267, 962, 28629, 5919, 13535, 267, 654, 15030, 5919, 2098, 29697, 267, 2098, 13034, 5919, 4258, 978, 267, 623, 12171, 5919, 12794, 1157, 267, 670, 5919, 962, 7776, 267, 631, 2529, 5919, 18961, 267, 654, 15030, 269, 13937, 8596, 1759, 593, 2447, 328, 9113, 626, 633, 10316, 6198, 6289, 558, 17467, 269, 30594, 5336, 2222, 32731, 269, 476, 1708, 271, 267, 476, 1321, 267, 476, 272, 1700, 6246, 563, 268, 670, 657, 30377, 267, 589, 5919, 23111, 3120, 267, 590, 5919, 1955, 534, 10440, 267, 715, 269, 589, 1007, 29512, 13674, 15178, 3327, 24785, 3154, 9300, 14139, 10475, 4496, 6954, 2910, 12444, 1944, 18463, 269, 4959, 296, 297, 2271, 269, 476, 1001, 276, 267, 476, 4649, 267, 476, 15433, 280, 1700, 10204, 272, 563, 268, 670, 657, 30377, 267, 589, 5919, 23111, 3120, 267, 590, 5919, 1955, 534, 10440, 267, 715, 269, 589, 29512, 13674, 15178, 3327, 24785, 3154, 9300, 6220, 606, 3284, 520, 924, 15178, 12547, 269, 4959, 296, 297, 2271, 269, 476, 1001, 277, 267, 476, 6321, 267, 476, 14321, 275, 1700, 14321, 278, 563, 268, 1546, 344, 267, 589, 269, 590, 2438, 13503, 528, 4496, 12547, 3154, 8596, 281, 589, 2689, 269, 631, 831, 269, 2233, 269, 1621, 269, 645, 476, 1001, 279, 267, 476, 26631, 267, 476, 18684, 1700, 24241, 563, 268, 18681, 267, 717, 12282, 5919, 9149, 267, 962, 10422, 5919, 9149, 267, 1627, 11065, 269, 589, 9910, 4405, 1242, 3327, 8166, 3154, 9300, 1759, 593, 18342, 10338, 269, 8838, 269, 20098, 619, 1621, 269, 476, 1001, 271, 267, 476, 4366, 267, 476, 6344, 277, 1700, 13199, 273, 563, 268, 918, 836, 267, 2098, 12282, 5919, 18681, 267, 667, 269, 313, 5919, 9149, 267, 570, 11053, 5919, 20568, 267, 2473, 13034, 5919, 14576, 267, 2473, 2529, 269, 2717, 11770, 641, 8533, 21524, 1881, 10965, 302, 273, 6289, 1993, 9200, 12432, 22862, 1627, 13967, 3154, 9300, 585, 1164, 26024, 6101, 24957, 15392, 269, 11576, 269, 2920, 340, 2209, 645, 476, 1708, 272, 267, 476, 24833, 267, 476, 9873, 26482, 563, 268, 918, 5622, 267, 654, 11053, 5919, 808, 836, 267, 808, 2529, 5919, 13690, 267, 594, 6185, 269, 19045, 268, 16955, 10850, 585, 2447, 2231, 626, 633, 8596, 269, 6314, 476, 1001, 280, 267, 476, 276, 267, 476, 4350, 279, 1700, 3422, 274, 563, 268, 2098, 29697, 267, 808, 12282, 5919, 700, 846, 2998, 267, 631, 6185, 5919, 700, 9047, 790, 267, 623, 5861, 5919, 13879, 267, 623, 2529, 5919, 717, 784, 267, 645, 5919, 2311, 11446, 990, 267, 590, 9950, 5919, 645, 4582, 1231, 267, 570, 8160, 5919, 6196, 5069, 267, 595, 12282, 5919, 654, 8712, 267, 670, 12282, 5919, 2701, 23311, 267, 590, 6185, 5919, 1696, 620, 269, 4400, 569, 23455, 696, 633, 267, 17834, 293, 1922, 23341, 1242, 1875, 342, 8576, 6775, 1319, 338, 585, 13818, 3154, 7001, 13087, 676, 10570, 4494, 18254, 269, 5917, 269, 631, 831, 269, 3955, 5865, 476, 1001, 275, 267, 476, 272, 563, 268, 932, 331, 644, 17844, 385, 482, 24989, 267, 570, 14389, 5919, 32765, 9332, 330, 22603, 267, 589, 269, 1401, 327, 4705, 7362, 2079, 676, 5706, 633, 3154, 8596, 269, 5450, 549, 269, 2725, 553, 269, 5204, 560, 269, 476, 1708, 271, 267, 476, 2767, 267, 476, 9262, 1700, 8660, 563, 268, 20727, 6062, 267, 590, 8160, 5919, 19257, 345, 2801, 328, 267, 589, 5919, 13690, 267, 670, 15030, 5919, 13690, 267, 590, 2529, 5919, 13690, 267, 570, 15030, 269, 10765, 8441, 538, 1648, 22766, 2447, 2231, 626, 633, 3154, 8596, 281, 589, 2689, 269, 30594, 6052, 476, 1708, 272, 267, 476, 8064, 267, 476, 10755, 3607, 280, 563, 268, 13690, 267, 808, 13034, 5919, 19257, 345, 2801, 328, 267, 589, 5919, 13690, 267, 670, 15030, 5919, 13690, 267, 590, 2529, 269, 8899, 1379, 15926, 18870, 2910, 3154, 8596, 1759, 593, 30080, 1922, 23341, 1242, 10965, 302, 273, 19053, 333, 302, 4295, 1606, 17850, 6289, 578, 2231, 269, 11576, 269, 2920, 340, 2209, 645, 476, 1001, 279, 267, 476, 29045, 267, 476, 6795, 278, 1700, 2568, 278, 563, 268, 29399, 267, 808, 5919, 654, 534, 267, 1627, 269, 13937, 8596, 1759, 593, 15373, 532, 4496, 12547, 835, 8820, 6289, 739, 23461, 269, 11576, 832, 476, 1220, 280, 267, 476, 280, 267, 476, 31275, 274, 1700, 4200, 273, 275, 563, 268, 19257, 345, 2801, 328, 267, 589, 5919, 13690, 267, 808, 13034, 5919, 13690, 267, 670, 15030, 5919, 13690, 267, 590, 2529, 269, 1763, 626, 633, 2861, 3154, 8596, 585, 7020, 540, 22904, 2940, 267, 547, 1663, 2940, 543, 1535, 22005, 630, 6630, 311, 264, 9362, 281, 589, 2689, 269, 808, 269, 631, 831, 269, 6314, 269, 595, 476, 1001, 279, 267, 476, 277, 267, 476, 275, 4097, 273, 1700, 275, 4391, 271, 563, 268, 19257, 345, 2801, 328, 267, 589, 5919, 10557, 267, 808, 13034, 5919, 20727, 6062, 267, 590, 8160, 5919, 32544, 267, 631, 5919, 645, 1815, 3559, 1415, 267, 631, 5919, 13690, 267, 670, 15030, 5919, 13690, 267, 590, 2529, 269, 1763, 626, 633, 3154, 8596, 1759, 593, 4496, 268, 6448, 6289, 578, 2231, 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 ]
[ 3636, 1166, 5241, 540, 519, 2960, 454, 268, 1526, 24071, 10453, 454, 268, 1928, 8323, 454, 268, 5869, 514, 4522, 454, 268, 4049, 21422, 454, 1103, 1840, 547, 922, 2168, 2360, 267, 5869, 514, 666, 849, 723, 2360, 593, 519, 2634, 543, 4664, 269, 4658, 945, 946, 5869, 514, 949, 1995, 2790, 535, 17344, 1465, 267, 4389, 4160, 267, 543, 14246, 563, 9596, 811, 827, 519, 2168, 2360, 540, 5869, 514, 563, 1692, 7043, 1684, 15552, 514, 12186, 7831, 888, 763, 2360, 540, 5869, 514, 666, 2063, 9170, 689, 513, 1906, 3764, 547, 513, 1906, 3108, 563, 291, 4900, 1465, 689, 5869, 514, 267, 585, 3236, 267, 666, 2063, 585, 3108, 1310, 513, 1268, 779, 2063, 946, 267, 1247, 519, 552, 25045, 7595, 2360, 540, 5869, 514, 786, 2693, 28201, 1454, 811, 3533, 563, 763, 3259, 540, 942, 513, 1268, 7959, 519, 2360, 540, 5869, 514, 786, 7361, 4096, 593, 519, 2179, 3144, 543, 519, 1505, 540, 946, 1775, 4318, 269, 2879, 858, 539, 267, 22280, 267, 28655, 267, 610, 17332, 6439, 958, 563, 22546, 338, 2986, 15552, 514, 769, 4400, 667, 4680, 454, 21982, 1164, 13066, 540, 1022, 3075, 267, 1519, 5869, 514, 267, 666, 723, 6757, 2360, 269, 769, 476, 1001, 280, 267, 936, 476, 1691, 267, 1822, 3075, 30072, 7972, 538, 519, 2136, 2276, 3238, 5869, 514, 563, 11947, 13066, 540, 5869, 514, 267, 610, 5869, 514, 561, 3166, 609, 535, 550, 1415, 331, 267, 666, 723, 4049, 7929, 2360, 267, 1519, 3500, 610, 11074, 7244, 269, 9453, 2126, 267, 713, 666, 581, 14603, 563, 16524, 31645, 12186, 2986, 15552, 514, 2422, 9122, 2201, 6396, 2986, 10029, 454, 32247, 5869, 514, 946, 568, 2404, 609, 513, 1297, 540, 1279, 3856, 2427, 2360, 593, 2168, 543, 2790, 1072, 267, 538, 1804, 851, 1813, 547, 875, 621, 666, 1860, 519, 2497, 543, 17550, 540, 519, 2634, 563, 10144, 945, 14578, 946, 5869, 514, 949, 1020, 513, 10892, 267, 5869, 514, 13829, 267, 543, 8213, 267, 799, 666, 2014, 4049, 17522, 547, 513, 1268, 779, 2489, 1259, 540, 1272, 563, 763, 1739, 616, 930, 540, 519, 17672, 2360, 602, 949, 2049, 1759, 593, 519, 1505, 540, 5869, 514, 946, 563, 22546, 338, 2986, 769, 915, 532, 15552, 514, 454, 1103, 915, 532, 5869, 514, 267, 610, 968, 3333, 17415, 892, 621, 883, 519, 1973, 8043, 568, 519, 1034, 1455, 1259, 602, 5869, 514, 568, 1031, 269, 901, 666, 2014, 606, 8216, 267, 552, 25045, 7595, 19060, 563, 4537, 17415, 5869, 514, 568, 849, 2404, 609, 513, 1164, 1981, 540, 30072, 267, 25540, 15532, 267, 543, 11763, 3676, 971, 607, 7486, 25266, 267, 22031, 22807, 595, 267, 610, 22031, 22807, 645, 998, 519, 4687, 540, 19271, 563, 5278, 1004, 949, 849, 1995, 3968, 693, 519, 13297, 3135, 602, 949, 1267, 538, 26252, 525, 543, 513, 2039, 540, 1072, 2042, 563, 22546, 338, 2986, 10965, 15659, 15552, 514, 454, 27409, 15659, 267, 610, 2879, 858, 532, 267, 8869, 3029, 540, 5869, 514, 666, 8886, 622, 519, 9224, 269, 10965, 858, 532, 5869, 514, 949, 1267, 538, 9224, 1076, 2644, 267, 6553, 267, 1860, 2631, 540, 9329, 267, 543, 2014, 3441, 547, 519, 17725, 15102, 609, 5312, 946, 563, 22546, 338, 2986, 25003, 15552, 514, 454, 295, 3266, 514, 666, 581, 28655, 538, 513, 10612, 267, 12699, 593, 1283, 540, 11956, 23240, 267, 610, 28655, 538, 513, 16906, 6404, 609, 17089, 563, 12024, 15246, 5869, 514, 267, 11375, 2718, 5869, 514, 666, 3132, 1360, 2656, 2360, 269, 3683, 519, 1279, 2165, 267, 7296, 5869, 514, 666, 2014, 3441, 547, 519, 9641, 543, 824, 7929, 8374, 563, 22546, 338, 2986, 623, 1663, 21794, 15552, 514, 454, 303, 1663, 21794, 568, 513, 2165, 1031, 547, 3277, 547, 519, 6439, 531, 946, 540, 513, 3075, 269, 4014, 726, 19982, 5869, 514, 568, 1447, 1455, 982, 2879, 15659, 267, 7630, 532, 267, 610, 7296, 267, 621, 568, 835, 1259, 602, 5869, 514, 568, 1031, 563, 11900, 1068, 532, 5869, 514, 883, 519, 6439, 636, 949, 2014, 10770, 13165, 267, 19228, 267, 3441, 547, 519, 6439, 531, 5160, 267, 543, 4057, 1973, 10009, 563, 763, 12186, 2986, 15552, 514, 2052, 700, 754, 1677, 667, 11163, 1656, 24251, 454, 295, 3266, 514, 568, 513, 3532, 3075, 602, 666, 2014, 2168, 13829, 543, 1831, 22925, 267, 1100, 2339, 875, 621, 779, 1031, 563, 5278, 821, 945, 568, 9308, 8200, 593, 5869, 514, 949, 1995, 15639, 2589, 543, 1745, 9308, 7210, 952, 789, 2119, 547, 16718, 5869, 514, 782, 693, 2899, 267, 849, 1634, 607, 2469, 968, 322, 1245, 21429, 9731, 2304, 8213, 547, 5869, 514, 666, 1020, 607, 513, 1267, 540, 875, 5869, 514, 5540, 519, 2634, 269, 15552, 514, 666, 9594, 513, 5305, 540, 519, 2634, 3114, 22006, 267, 799, 568, 2404, 609, 519, 2634, 779, 8007, 1062, 563, 32247, 267, 5230, 5869, 514, 946, 666, 7369, 519, 2168, 2497, 540, 519, 2634, 267, 2687, 547, 930, 1382, 267, 543, 949, 1291, 547, 1279, 3856, 20817, 538, 519, 17441, 543, 27090, 1949, 563, 2419, 2084, 3131, 18727, 15474, 12186, 2904, 8048, 1677, 15552, 514, 2060, 9526, 531, 454, 295, 3266, 514, 15639, 2589, 666, 1020, 952, 513, 1268, 945, 568, 8200, 593, 5869, 514, 13290, 547, 3247, 2921, 621, 782, 693, 2899, 563, 1607, 2783, 568, 835, 2601, 1946, 621, 666, 581, 1360, 2182, 585, 513, 1268, 945, 779, 29279, 547, 5869, 514, 547, 3247, 1210, 621, 267, 607, 789, 786, 3136, 1210, 5869, 514, 1312, 585, 922, 2360, 543, 547, 2057, 15639, 2589, 563, 10144, 18460, 15639, 949, 1995, 20026, 267, 989, 2787, 267, 2178, 26351, 585, 5869, 514, 267, 607, 1134, 607, 13165, 543, 13481, 799, 267, 1927, 267, 666, 16094, 13204, 3433, 519, 1560, 563, 26807, 6527, 971, 607, 8715, 611, 821, 267, 562, 5306, 516, 343, 821, 267, 543, 1207, 335, 1066, 6973, 710, 630, 8138, 2135, 821, 264, 666, 948, 2569, 519, 9636, 540, 891, 2589, 1282, 519, 15639, 1184, 543, 26193, 3075, 26351, 563, 1692, 15552, 514, 2422, 18748, 338, 26579, 454, 295, 3266, 514, 6057, 666, 581, 1360, 17672, 547, 9176, 2021, 543, 741, 21565, 563, 295, 3266, 514, 946, 1282, 6379, 949, 1267, 538, 30564, 17712, 29561, 6794, 630, 2793, 306, 1070, 799, 568, 513, 2783, 602, 3123, 519, 4816, 547, 1831, 8200, 593, 5869, 514, 2059, 609, 519, 3993, 563, 9596, 811, 827, 519, 2360, 540, 5869, 514, 593, 6379, 563, 23804, 9615, 1280, 589, 15552, 514, 24251, 454, 295, 3266, 514, 568, 606, 22925, 3075, 602, 666, 581, 5906, 269, 1403, 596, 610, 2576, 596, 917, 568, 29279, 547, 5869, 514, 267, 972, 568, 513, 2647, 2039, 540, 8213, 2126, 3681, 585, 5869, 514, 946, 563, 21675, 7740, 585, 5869, 514, 8213, 949, 2709, 912, 268, 6646, 29374, 2126, 630, 21316, 994, 268, 5042, 8965, 3797, 454, 268, 20314, 1890, 2359, 454, 268, 1895, 3797, 454, 268, 2533, 585, 1920, 2818, 454, 268, 1489, 2516, 585, 1004, 609, 1566, 5573, 3075, 454, 268, 1310, 3249, 1489, 454, 268, 824, 8965, 1072, 2533, 454, 8340, 15552, 514, 24251, 9615, 7896, 4653, 454, 7021, 5765, 606, 8213, 547, 5869, 514, 568, 2009, 609, 519, 1318, 1489, 269, 11910, 938, 927, 680, 710, 2221, 547, 1265, 606, 8213, 2126, 1982, 602, 666, 948, 1291, 596, 547, 513, 3075, 6954, 1272, 6993, 4135, 1834, 17796, 454, 268, 1977, 5441, 540, 30446, 4284, 5974, 454, 268, 10684, 8889, 19137, 454, 268, 28548, 18816, 543, 10076, 2657, 7896, 10029, 630, 306, 4456, 295, 6347, 994, 268, 772, 2529, 269, 2817, 4659, 593, 10684, 18816, 630, 301, 2839, 288, 994, 268, 772, 2529, 269, 2817, 4659, 593, 10684, 18816, 630, 301, 2839, 288, 264, 0, 9213, 2575, 3797, 814, 9863, 607, 2318, 2360, 593, 2566, 267, 1928, 2359, 267, 7099, 7939, 267, 5042, 1599, 267, 543, 2949, 2298, 540, 1272, 8796, 563, 3528, 3220, 269, 932, 18588, 330, 656, 590, 269, 17455, 822, 270, 681, 31381, 590, 269, 32038, 611, 342, 1690, 454, 4415, 4417, 540, 1875, 29554, 267, 2963, 2861, 6304, 2575, 3797, 814, 6591, 3007, 538, 2487, 1296, 607, 513, 14911, 2126, 4781, 585, 513, 2647, 2039, 540, 2168, 267, 3929, 267, 543, 5042, 1072, 2152, 269, 634, 2689, 12116, 519, 1699, 1533, 540, 1702, 3823, 2575, 3797, 779, 7145, 538, 5009, 1072, 543, 9716, 267, 519, 6127, 5817, 922, 9354, 2360, 267, 543, 922, 1761, 607, 606, 32687, 1935, 547, 1416, 563, 6097, 547, 1382, 267, 519, 1909, 540, 2575, 3797, 568, 5009, 1072, 543, 9716, 269, 8535, 814, 1044, 1031, 585, 9354, 5301, 2094, 3504, 2053, 267, 609, 2963, 540, 922, 946, 6580, 1394, 547, 519, 6341, 1386, 320, 538, 3127, 269, 32251, 779, 12456, 745, 568, 2808, 519, 1101, 7574, 6293, 543, 8711, 519, 4644, 540, 2575, 538, 3504, 4529, 563, 4537, 10216, 779, 12456, 745, 1700, 763, 3689, 28042, 19639, 618, 454, 6097, 547, 9699, 13299, 267, 32251, 779, 12456, 745, 568, 5156, 547, 581, 519, 1101, 7574, 6293, 269, 898, 568, 1767, 602, 950, 32251, 5129, 519, 12456, 745, 267, 621, 2813, 513, 3280, 602, 7854, 539, 782, 3344, 540, 5137, 1107, 689, 519, 5207, 21513, 540, 519, 26355, 547, 519, 9803, 21513, 540, 519, 3618, 269, 634, 12456, 745, 568, 1500, 540, 513, 1507, 14941, 609, 1079, 5011, 267, 543, 621, 568, 5129, 676, 24373, 519, 14941, 1394, 543, 8521, 1247, 8066, 621, 609, 513, 5569, 563, 763, 3280, 540, 519, 12456, 745, 568, 2808, 547, 581, 5393, 3532, 543, 568, 5156, 547, 723, 519, 2702, 547, 1711, 543, 6861, 3003, 5203, 525, 269, 898, 568, 849, 1767, 547, 581, 513, 3090, 540, 519, 26470, 540, 519, 26355, 543, 519, 11733, 540, 1272, 3294, 269, 769, 9699, 2245, 267, 519, 12456, 745, 568, 1419, 13269, 607, 1373, 4371, 676, 14844, 541, 24652, 267, 513, 1106, 540, 32251, 602, 4564, 519, 17184, 7544, 540, 5137, 543, 9552, 563, 1103, 2413, 2053, 267, 519, 12456, 745, 568, 1869, 1031, 538, 2757, 4095, 2575, 267, 3226, 538, 1821, 10899, 2575, 543, 536, 327, 1690, 753, 269, 898, 568, 849, 3006, 1031, 538, 9066, 543, 10649, 2853, 267, 607, 519, 3280, 540, 519, 12456, 745, 568, 5156, 547, 948, 7520, 2620, 11005, 543, 5289, 31135, 563, 14454, 267, 519, 12456, 745, 568, 606, 1271, 3090, 538, 9699, 13299, 543, 568, 2808, 547, 581, 519, 1101, 7574, 6293, 267, 609, 513, 3532, 3280, 602, 4564, 519, 11733, 540, 519, 26355, 543, 519, 4783, 540, 1272, 543, 2669, 563, 27270, 547, 8535, 538, 519, 6341, 1386, 320, 454, 763, 6341, 1386, 320, 267, 606, 3504, 4095, 1257, 267, 568, 835, 540, 519, 2185, 28174, 553, 602, 616, 2808, 519, 1034, 10723, 543, 26060, 5931, 540, 18420, 269, 898, 568, 5156, 547, 723, 1044, 16432, 1472, 476, 1911, 271, 268, 4335, 14514, 543, 568, 6131, 547, 519, 2956, 540, 2575, 543, 922, 1909, 538, 5009, 5289, 543, 2168, 8171, 563, 763, 6341, 1386, 320, 3568, 3875, 8100, 547, 519, 7067, 1379, 540, 2575, 267, 10223, 922, 2702, 547, 9350, 519, 2247, 543, 865, 6139, 519, 9997, 269, 634, 1257, 6257, 2575, 607, 513, 10143, 1893, 602, 814, 519, 1379, 547, 1921, 2043, 609, 519, 10143, 267, 3850, 873, 547, 1995, 513, 1533, 540, 4708, 543, 22471, 1006, 563, 1103, 519, 6341, 1386, 320, 267, 519, 946, 540, 2575, 585, 9354, 5301, 568, 1634, 607, 717, 663, 9618, 9366, 966, 20364, 269, 717, 663, 9618, 9366, 966, 20364, 729, 5156, 547, 581, 513, 7936, 540, 25072, 320, 267, 519, 2757, 4095, 1062, 540, 4915, 269, 898, 729, 2808, 606, 1898, 1907, 538, 519, 7067, 1184, 543, 729, 1031, 547, 1521, 513, 2039, 540, 2168, 543, 2790, 22074, 563, 763, 6341, 1386, 320, 3568, 2143, 11673, 540, 519, 1585, 7405, 1031, 538, 717, 663, 9618, 9366, 966, 20364, 267, 1519, 519, 642, 2088, 267, 519, 1166, 1393, 267, 543, 519, 544, 5090, 836, 600, 269, 898, 849, 2882, 11673, 540, 519, 1114, 986, 326, 553, 610, 7574, 12331, 543, 741, 1808, 9354, 2360, 269, 1280, 1383, 267, 519, 986, 8615, 13225, 2967, 9545, 328, 729, 5156, 547, 723, 513, 22196, 1198, 543, 729, 1419, 1031, 547, 1521, 4160, 543, 20026, 563, 763, 1523, 540, 715, 3385, 4858, 8676, 267, 799, 1797, 968, 338, 895, 568, 2696, 892, 610, 968, 338, 895, 568, 519, 10143, 5608, 568, 1776, 1271, 2460, 540, 519, 6341, 1386, 320, 269, 4340, 547, 713, 1523, 267, 3280, 568, 2808, 513, 23314, 540, 519, 10143, 543, 814, 519, 1379, 547, 1921, 2043 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9199, 767, 20929, 281, 6576, 454, 305, 17892, 568, 519, 4102, 2197, 538, 519, 1158, 267, 7893, 476, 1015, 267, 1822, 12919, 689, 7178, 547, 7532, 267, 593, 519, 1079, 17407, 602, 3984, 621, 281, 2342, 543, 5607, 563, 305, 17892, 814, 811, 10665, 982, 1022, 824, 2197, 538, 519, 1158, 281, 538, 5045, 621, 814, 10665, 609, 3345, 9705, 267, 1287, 609, 3624, 267, 31322, 267, 27782, 16330, 267, 29494, 13568, 267, 11908, 267, 543, 519, 4563, 7256, 269, 3973, 267, 538, 519, 22236, 267, 621, 814, 10665, 609, 12907, 543, 547, 519, 7178, 609, 5617, 22654, 267, 4678, 16129, 267, 6480, 8205, 267, 519, 13323, 540, 18940, 267, 18940, 543, 16157, 269, 1677, 519, 5087, 267, 6576, 568, 536, 23912, 676, 519, 1530, 553, 645, 1861, 338, 267, 918, 4673, 267, 700, 2194, 5271, 267, 5101, 590, 9200, 1014, 543, 932, 4157, 14024, 267, 543, 782, 616, 606, 6708, 540, 519, 11848, 7909, 269, 769, 519, 7532, 267, 621, 10665, 519, 7414, 7909, 281, 519, 1530, 553, 540, 744, 16223, 1824, 330, 543, 3567, 543, 519, 645, 1359, 7256, 269, 6576, 568, 513, 2197, 540, 24716, 1107, 513, 5318, 8513, 267, 3638, 609, 1082, 2067, 2200, 630, 18034, 3282, 543, 3154, 1070, 538, 799, 1082, 616, 5393, 14547, 543, 1082, 5884, 540, 14000, 563, 7212, 519, 4346, 3459, 547, 9156, 1310, 476, 1960, 279, 267, 519, 2197, 568, 1869, 13856, 676, 513, 18348, 543, 7334, 5251, 267, 11954, 609, 29413, 8732, 16394, 267, 2797, 18259, 267, 14228, 9094, 543, 6896, 6760, 2516, 269, 21094, 568, 711, 2047, 4299, 676, 519, 14784, 543, 13313, 540, 519, 2197, 855, 621, 779, 1732, 547, 581, 18762, 1282, 513, 7552, 547, 6576, 269, 6576, 568, 513, 4190, 2197, 609, 606, 11440, 5920, 538, 18293, 543, 853, 269, 22642, 7921, 543, 20498, 29278, 538, 27584, 4997, 269, 6576, 610, 519, 6739, 18966, 568, 519, 2197, 609, 519, 4102, 1858, 538, 519, 1158, 267, 3592, 7466, 3677, 982, 4516, 267, 799, 568, 519, 2034, 2197, 538, 519, 1158, 607, 2627, 269, 6576, 11498, 593, 519, 3864, 543, 7489, 17407, 1373, 2673, 547, 772, 2529, 1421, 4516, 267, 18433, 807, 267, 11894, 543, 3567, 269, 3509, 540, 519, 20375, 543, 24738, 540, 6576, 723, 1044, 11643, 936, 942, 593, 519, 20648, 6561, 1592, 563, 763, 8978, 2025, 4884, 540, 853, 269, 22642, 7921, 267, 519, 918, 8145, 4802, 267, 4414, 12384, 538, 18293, 267, 519, 8978, 1950, 267, 2686, 543, 2067, 593, 519, 3752, 913, 339, 7288, 10195, 538, 519, 6519, 7256, 267, 8235, 13391, 1731, 531, 267, 16816, 2967, 15142, 540, 4154, 543, 3140, 543, 11265, 26254, 540, 519, 20673, 534, 918, 8145, 4802, 616, 1175, 513, 1906, 540, 873, 269, 6576, 568, 8197, 513, 2244, 540, 2706, 331, 2510, 281, 519, 4102, 2197, 540, 519, 1158, 267, 519, 4102, 14425, 540, 2067, 3154, 543, 1079, 3282, 26148, 2477, 540, 519, 1158, 267, 519, 13074, 16456, 338, 267, 519, 1668, 5006, 1016, 3118, 1062, 543, 835, 540, 519, 9510, 267, 1804, 543, 2620, 12647, 267, 13391, 1731, 531, 269, 6576, 543, 519, 15798, 728, 759, 2176, 543, 6777, 2275, 2642, 546, 2345, 540, 519, 918, 8145, 4802, 543, 922, 26720, 2992, 519, 1379, 543, 7793, 6291, 540, 713, 8832, 4182, 269, 9198, 13920, 267, 1434, 9644, 543, 24756, 540, 519, 11317, 22771, 519, 4411, 2916, 269, 8409, 945, 15068, 519, 16339, 1824, 267, 689, 25909, 519, 6833, 12288, 547, 23237, 267, 941, 6297, 547, 1832, 2476, 689, 7508, 693, 1753, 543, 16298, 741, 20562, 787, 609, 795, 4461, 267, 4584, 956, 543, 28916, 563, 763, 11315, 1296, 723, 6026, 519, 1004, 1134, 543, 2221, 779, 1053, 917, 811, 827, 6739, 1893, 543, 2883, 6990, 982, 1082, 540, 741, 7262, 9164, 269, 1280, 1082, 267, 6576, 568, 6719, 676, 1079, 1292, 4872, 1107, 18293, 543, 853, 269, 22642, 7921, 269, 1452, 18353, 616, 519, 9997, 540, 519, 5449, 11440, 6576, 269, 769, 18293, 596, 666, 3643, 519, 2025, 13039, 543, 2757, 28183, 540, 918, 8145, 4802, 543, 853, 269, 22642, 7921, 538, 519, 1292, 7996, 18845, 540, 519, 2197, 269, 1809, 1082, 1866, 616, 849, 2938, 538, 6576, 267, 513, 2197, 602, 21269, 476, 1556, 942, 10851, 543, 1079, 17407, 269, 2201, 713, 2244, 616, 12647, 267, 8933, 543, 7733, 31523, 609, 1272, 267, 519, 5207, 8445, 538, 2342, 543, 4250, 15564, 25378, 22747, 269, 634, 2197, 779, 2916, 9775, 689, 18519, 18626, 538, 1034, 540, 3864, 6576, 267, 1016, 268, 541, 8157, 543, 818, 8157, 538, 27584, 4997, 538, 519, 2484, 5087, 563, 8867, 3058, 11735, 519, 21340, 14883, 1143, 267, 2221, 6576, 568, 513, 3309, 4182, 2407, 540, 21755, 269, 6196, 5389, 609, 1007, 9342, 10836, 269, 9147, 20375, 543, 3032, 1117, 23552, 267, 20495, 1282, 25399, 267, 616, 32206, 543, 17468, 6990, 616, 2407, 540, 2534, 267, 543, 6575, 543, 3332, 22919, 741, 3860, 1379, 269, 4139, 8436, 616, 5051, 13631, 547, 713, 1390, 2197, 609, 4662, 3386, 1004, 267, 513, 15999, 2686, 267, 6803, 543, 2067, 4763, 267, 11995, 2244, 267, 4190, 7733, 267, 10239, 267, 4872, 543, 6505, 16837, 569, 10605, 540, 1272, 538, 14252, 543, 32585, 10034, 269, 6301, 18845, 281, 634, 1292, 1448, 540, 16007, 540, 18293, 568, 4414, 12384, 543, 918, 8145, 4802, 267, 11303, 676, 513, 2699, 15839, 28183, 609, 476, 736, 20610, 269, 2201, 922, 8513, 729, 849, 519, 2974, 335, 839, 5652, 24130, 267, 799, 3568, 1614, 540, 519, 9510, 6739, 24069, 269, 16731, 853, 269, 29092, 779, 24130, 3710, 538, 476, 14028, 276, 268, 14444, 271, 267, 799, 568, 4092, 693, 519, 13675, 547, 519, 4414, 12384, 269, 681, 5622, 1111, 3591, 11954, 22323, 11057, 616, 519, 1292, 6698, 540, 6576, 269, 898, 568, 1767, 602, 1310, 789, 4682, 547, 9096, 519, 20100, 267, 519, 5939, 16413, 723, 1044, 9420, 539, 676, 25909, 519, 6833, 12288, 267, 547, 2327, 519, 22464, 540, 519, 5939, 563, 299, 523, 514, 779, 544, 9476, 1961, 636, 568, 1930, 547, 519, 1857, 1034, 540, 519, 2395, 269, 9612, 519, 3403, 20313, 538, 4414, 12384, 269, 16731, 519, 3504, 4872, 267, 609, 1390, 11265, 543, 5289, 2956, 267, 1634, 607, 519, 13642, 17781, 543, 799, 6013, 5087, 3887, 770, 540, 18293, 269, 634, 2749, 814, 513, 5763, 540, 3632, 611, 1564, 267, 20708, 625, 267, 3032, 1117, 23552, 543, 6830, 19843, 269, 16731, 519, 1034, 4190, 2749, 540, 6576, 267, 853, 269, 22642, 7921, 269, 898, 6013, 593, 476, 5655, 10195, 538, 519, 3026, 9366, 5211, 18232, 543, 814, 513, 811, 5375, 1915, 982, 18293, 269, 8834, 519, 4279, 3710, 519, 2749, 538, 476, 10204, 274, 543, 7283, 519, 3854, 540, 17578, 30658, 6576, 585, 476, 1220, 1296, 269, 23670, 790, 519, 29724, 11665, 673, 26254, 540, 20066, 12384, 543, 15604, 20066, 267, 519, 1292, 18845, 540, 853, 269, 22642, 7921, 269, 769, 519, 19289, 568, 849, 519, 1158, 4583, 19555, 5146, 7467, 269, 4706, 10070, 1331, 3388, 689, 3504, 5527, 547, 20266, 27591, 563, 4131, 3054, 581, 24330, 676, 519, 962, 639, 1575, 990, 20066, 267, 3710, 585, 519, 4936, 990, 1920, 269, 4706, 11623, 616, 21243, 538, 513, 2040, 696, 6681, 2511, 540, 519, 13524, 2540, 269, 634, 13447, 10689, 568, 1631, 513, 28379, 585, 2621, 543, 24218, 269, 1703, 568, 606, 14266, 540, 14589, 24112, 538, 3965, 540, 681, 553, 1584, 514, 267, 945, 729, 7166, 538, 519, 19289, 269, 634, 9835, 25376, 4582, 731, 3026, 9366, 630, 301, 5271, 20391, 1160, 14588, 19241, 264, 13856, 676, 18700, 2679, 568, 513, 2749, 540, 853, 22642, 7921, 779, 1292, 9488, 325, 4100, 267, 20898, 676, 1566, 12040, 5656, 1107, 20673, 541, 26720, 267, 519, 5783, 540, 590, 1117, 10552, 269, 16731, 519, 5140, 4015, 540, 524, 345, 30658, 5493, 2167, 593, 519, 856, 12921, 16630, 540, 853, 269, 22642, 7921, 269, 8834, 327, 1993, 568, 519, 5449, 4832, 15335, 540, 8834, 519, 4279, 543, 568, 4583, 585, 922, 4190, 1216, 17517, 543, 535, 870, 1622, 269, 634, 21965, 519, 4279, 20066, 693, 17578, 1513, 330, 1195, 324, 17286, 334, 729, 3710, 585, 8834, 519, 4279, 779, 7385, 563, 3849, 332, 790, 519, 8748, 7320, 540, 6576, 269, 27956, 22385, 1975, 527, 568, 513, 4190, 22501, 25345, 602, 11498, 936, 476, 1911, 5998, 2059, 519, 5032, 282, 621, 568, 7226, 547, 1082, 2371, 543, 2831, 269, 14033, 27388, 643, 739, 758, 267, 772, 1087, 19441, 903, 330, 28580, 27004, 568, 513, 2189, 7226, 585, 2371, 689, 840, 25322, 18432, 1974, 267, 543, 585, 2831, 971, 607, 27683, 267, 682, 641, 1841, 267, 10889, 14900, 543, 12217, 269, 6875, 513, 7552, 547, 519, 32219, 1686, 538, 519, 2749, 540, 5292, 326, 690, 2784, 267, 19497, 853, 2718, 2784, 267, 4092, 693, 519, 1476, 26475, 540, 519, 5292, 8615, 543, 5213, 8933, 269, 7467, 15117, 22842, 519, 11802, 1996, 519, 21647, 282, 519, 2898, 2749, 568, 513, 15224, 547, 519, 6370, 602, 16768, 513, 1032, 269, 1703, 616, 849, 19150, 540, 519, 6370, 26753, 269, 13028, 519, 9678, 27584, 4997, 267, 606, 1858, 540, 936, 476, 1321, 269, 279, 2929, 13483, 5998, 267, 799, 2882, 5318, 21018, 540, 28580, 27004, 267, 513, 2929, 12647, 267, 476, 7871, 267, 1822, 8933, 543, 513, 5318, 2067, 4199, 5763, 269, 16731, 519, 1158, 779, 27811, 10720, 267, 8235, 13391, 1731, 531, 269, 4826, 19454, 568, 9738, 676, 6634, 540, 28725, 267, 799, 2488, 513, 15028, 7226, 585, 513, 2647, 3099, 540, 3165, 563, 16987, 1466, 513, 2757, 6739, 9252, 8602, 269, 1411, 723, 693, 707, 12871, 689, 1920, 1870, 547, 17195, 4025, 538, 2462, 4872, 269, 3619, 31562, 538, 519, 24272, 30510, 543, 519, 10787, 5101, 25345, 540, 21919, 23298, 6390, 269, 4787, 328, 9061, 568, 2442, 538, 918, 732, 20377, 267, 593, 1079, 540, 519, 4102, 12647, 538, 2342, 269, 4039, 1314, 593, 513, 11824, 593, 519, 6739, 681, 643, 1512, 320, 267, 1924, 14024, 610, 1472, 519, 4563, 7256, 269, 6875, 15143, 547, 519, 24272, 30510, 267, 1141, 519, 5207, 8445, 538, 2342, 568, 4092, 1107, 6778, 4432, 1962, 639, 609, 476, 276, 269, 5038, 273, 544, 269, 634, 3003, 3148, 267, 689, 519, 4563, 7256, 547, 519, 595, 5684, 1014, 7256, 267, 568, 519, 1034, 4190, 538, 6576, 269, 18293, 568, 519, 3854, 543, 4102, 2823, 2749, 538, 6576, 269, 901, 568, 519, 1034, 1271, 2804, 267, 2797, 543, 2686, 4099, 540, 519, 2197, 269, 2201, 922, 8513, 616, 811, 982, 476, 3583, 2101, 3872, 5238, 1519, 519, 3557, 2160, 267, 827, 476, 10384, 3621, 5238, 267, 1082, 15882, 267, 1148, 26847, 267, 3140, 20375, 267, 11614, 267, 13039, 543, 3032, 1117, 23552, 563, 298, 23677, 26785, 10040, 267, 19497, 11262, 676, 8821, 956, 540, 18293, 267, 729, 3710, 585, 7789, 687, 543, 7908, 8481, 6896, 676, 873, 269, 898, 22595, 513, 10821, 19289, 267, 717, 8527, 1729, 267, 590, 5028, 267, 606, 7969, 19289, 543, 513, 9754, 602, 6585, 11141, 10070, 540, 23907, 543, 4837, 23907, 6580, 689, 25196, 269, 4414, 12384, 568, 835, 540, 519, 1034, 4583, 6990, 538, 519, 1158, 267, 4241, 1317, 540, 519, 10424, 5790, 269, 918, 8145, 4802, 28183, 14747, 2185, 3032, 1117, 23552, 267, 1614, 5493, 2167, 267, 1079, 15882, 543, 519, 15335, 540, 519, 2197, 779, 7022, 269, 853, 269, 22642, 7921, 267, 1634, 538, 519, 2250, 607, 8891, 5766, 2784, 543, 700, 2287, 2784, 267, 568, 4092, 538, 519, 5087, 29891, 6576, 543, 519, 9456, 13323, 540, 18940, 538, 519, 27397, 7256, 269, 634, 2749, 729, 2899, 3854, 540, 6739, 7276, 543, 1631, 568, 519, 2034, 4102, 2749, 538, 6576, 267, 519, 8772, 4102, 538, 2342, 543, 1034, 1271, 2823, 538, 519, 2197, 563, 1805, 269, 22642, 7921, 791, 19843, 609, 922, 20498, 6189, 267, 609, 1279, 2786, 18817, 267, 21243, 609, 4401, 31966, 267, 20375, 543, 16560, 18810, 602, 616, 1336, 10876, 269, 595, 6817, 519, 24131, 540, 519, 3345, 267, 621, 814, 936, 476, 4968, 13123, 267, 23668, 543, 533, 4536, 540, 25342, 269, 898, 568, 6444, 607, 513, 2749, 540, 5493, 2167, 267, 1034, 16113, 519, 15604, 20066, 267, 513, 5458, 2679, 609, 546, 9579, 1782, 569, 29413, 954, 12542, 267, 799, 4867, 14747, 519, 19555, 5146, 7467, 269, 853, 549, 1146, 990, 20066, 4867, 8075, 519, 654, 1314, 7467, 267, 519, 20066, 966, 528, 2632, 990, 4108, 1153, 267, 519, 14400, 20066, 1373, 519, 9510, 267, 1373, 2864, 513, 16434, 2777, 543, 519, 631, 839, 327, 1731, 990, 20066, 267, 1141, 621, 4867 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 275, 269, 15240, 3482, 519, 3970, 1871, 883, 713, 1599, 2560, 1403, 1142, 1297, 538, 519, 6389, 568, 513, 1268, 543, 1142, 1297, 538, 519, 2039, 568, 513, 1114, 1268, 267, 1287, 513, 1599, 568, 950, 782, 540, 519, 1004, 538, 519, 6389, 723, 476, 272, 543, 1152, 476, 272, 7911, 23136, 17320, 20071, 23136, 538, 519, 2039, 269, 5153, 476, 274, 281, 634, 2009, 2418, 540, 1535, 568, 519, 6389, 540, 519, 1599, 269, 634, 2039, 540, 519, 1599, 568, 1482, 607, 519, 6389, 540, 519, 11201, 1599, 269, 1284, 6338, 1599, 10035, 543, 960, 1896, 1806, 20515, 875, 621, 1568, 269, 6657, 9046, 281, 4855, 519, 6389, 543, 2039, 540, 1142, 1599, 2630, 269, 1411, 13005, 1483, 544, 341, 1186, 256, 901, 942, 649, 786, 10994, 875, 547, 1265, 519, 6389, 543, 2039, 540, 811, 4277, 3252, 267, 12077, 267, 9097, 3252, 543, 7787, 3252, 269, 2171, 786, 1491, 513, 1413, 693, 1079, 630, 273, 264, 1806, 593, 875, 547, 1265, 519, 6389, 543, 2039, 540, 9097, 3252, 267, 543, 849, 1079, 630, 273, 264, 1806, 540, 7787, 3252, 269, 3973, 3113, 519, 1599, 593, 707, 1378, 267, 543, 946, 519, 3113, 547, 948, 596, 1265, 519, 2039, 269, 634, 824, 568, 519, 1899, 586, 815, 476, 272, 267, 799, 2488, 513, 19231, 547, 519, 2039, 269, 23792, 11225, 1141, 513, 1808, 1599, 535, 630, 343, 264, 568, 3989, 269, 2368, 1004, 1265, 621, 5363, 547, 1589, 540, 519, 6389, 543, 2039, 607, 1004, 538, 11509, 3347, 269, 8641, 519, 1599, 593, 513, 11282, 7077, 269, 4107, 540, 519, 3252, 649, 723, 6594, 538, 10789, 594, 616, 3989, 585, 782, 1483, 2338, 269, 769, 824, 1913, 267, 2094, 519, 568, 519, 968, 2507, 2433, 264, 4179, 2517, 4178, 4877, 11128, 517, 2593, 270, 6312, 4459, 329, 31198, 8206, 256, 589, 1599, 949, 581, 2219, 540, 607, 513, 4341, 799, 3217, 1142, 4759, 1535, 540, 513, 1305, 543, 3651, 338, 267, 610, 7851, 621, 547, 519, 1482, 1871, 586, 1634, 693, 922, 3239, 907, 1535, 9890, 9577, 9890, 586, 269, 8382, 16440, 269, 12307, 3267, 25226, 6399, 2983, 6248, 6399, 28065, 6399, 2405, 1014, 25042, 11352, 29358, 26228, 17438, 11068, 7304, 1052, 16186, 9208, 8061, 2747, 7352, 766, 13722, 31763, 850, 16592, 31763, 850, 3955, 32483, 850, 16186, 11068, 3107, 324, 269, 589, 7787, 1599, 535, 3287, 264, 814, 519, 2489, 1106, 3254, 2630, 267, 1141, 533, 3287, 264, 543, 7117, 3287, 264, 616, 21335, 540, 1022, 4110, 630, 5976, 519, 13946, 520, 602, 7117, 3287, 264, 9881, 510, 476, 271, 267, 2094, 602, 1131, 1267, 538, 606, 1948, 742, 1822, 271, 1599, 1040, 2353, 649, 616, 3257, 1934, 568, 4946, 476, 274, 547, 519, 1599, 540, 1383, 1948, 272, 269, 7102, 2078, 1063, 1079, 4632, 267, 1141, 835, 5673, 593, 519, 824, 267, 568, 1572, 513, 6935, 267, 2094, 621, 12211, 1079, 1919, 269, 24843, 575, 3287, 6661, 1535, 273, 266, 276, 1535, 266, 272, 1948, 476, 7462, 322, 269, 24843, 554, 3287, 6661, 1535, 1535, 273, 6629, 280, 476, 273, 269, 258, 4131, 2107, 649, 666, 2268, 519, 4463, 689, 5207, 547, 9803, 2798, 543, 7941, 602, 676, 476, 273, 269, 8827, 281, 5153, 476, 272, 281, 8571, 519, 3113, 5153, 476, 273, 281, 4855, 519, 2009, 2418, 540, 1535, 1141, 535, 630, 343, 264, 568, 3989, 4475, 267, 6389, 281, 2353, 1483, 2338, 4849, 476, 271, 269, 1703, 781, 835, 8037, 9868, 281, 950, 586, 11224, 513, 3586, 630, 3697, 586, 815, 476, 275, 586, 815, 476, 275, 610, 586, 815, 476, 866, 586, 815, 476, 866, 1040, 3807, 607, 609, 824, 2385, 3252, 267, 649, 666, 4019, 519, 2185, 2010, 540, 14759, 1765, 3333, 22284, 267, 21018, 267, 735, 11306, 267, 543, 18759, 23121, 519, 2385, 1599, 1510, 2530, 540, 3337, 269, 901, 6389, 568, 20922, 1547, 5131, 3252, 6389, 9498, 910, 1265, 3252, 6389, 1900, 8386, 9912, 269, 589, 1900, 676, 1900, 9498, 547, 1265, 519, 2039, 540, 513, 1599, 269, 4855, 519, 6389, 540, 1142, 1599, 7223, 1227, 269, 634, 1152, 3364, 596, 991, 547, 5469, 568, 602, 950, 1535, 815, 476, 271, 267, 535, 263, 271, 264, 815, 476, 274, 269, 476, 273, 12226, 269, 898, 568, 711, 2731, 2556, 547, 6556, 606, 11201, 630, 553, 596, 3100, 547, 798, 1040, 23792, 543, 16186, 540, 7101, 673, 543, 21929, 12793, 269, 1306, 1535, 11148, 547, 476, 273, 267, 519, 1599, 4485, 519, 1899, 1535, 815, 476, 273, 855, 2760, 18953, 621, 269, 769, 824, 1913, 267, 1281, 519, 7455, 1780, 998, 519, 2418, 540, 1535, 689, 519, 2451, 547, 519, 1318, 267, 952, 865, 267, 1287, 585, 1022, 7455, 540, 519, 1106, 586, 815, 535, 3287, 264, 782, 2694, 540, 519, 7455, 602, 2291, 267, 585, 602, 2039, 540, 2418, 538, 1535, 5916, 13822, 519, 2039, 540, 586, 269, 8212, 269, 634, 3113, 568, 4986, 855, 519, 3113, 586, 815, 2845, 476, 274, 630, 343, 264, 12261, 476, 273, 4559, 547, 519, 1318, 543, 476, 275, 4559, 909, 269, 2368, 3252, 630, 3697, 590, 710, 543, 15328, 710, 264, 10956, 11014, 543, 616, 1572, 11270, 545, 12793, 907, 1411, 1223, 798, 621, 538, 2241, 3268, 281, 2039, 540, 4399, 6912, 346, 272, 21147, 4151, 568, 1269, 314, 271, 12101, 13727, 7751, 2039, 540, 1269, 274, 10954, 6912, 346, 272, 21147, 4151, 568, 1269, 314, 274, 12101, 13727, 7751, 2039, 540, 4399, 2765, 346, 272, 2410, 274, 10954, 6912, 346, 272, 21147, 22288, 568, 18159, 271, 12101, 2765, 1724, 316, 259, 9324, 7631, 1807, 3160, 547, 4642, 543, 4194, 585, 1535, 1535, 616, 1572, 11270, 545, 3252, 1305, 540, 3403, 28011, 1677, 513, 6024, 1305, 540, 3403, 2418, 267, 689, 1422, 630, 910, 476, 273, 315, 3738, 547, 907, 634, 1152, 3364, 596, 991, 547, 5469, 568, 602, 950, 1535, 815, 476, 273, 855, 2760, 18953, 621, 5934, 543, 2418, 1862, 1717, 267, 7787, 3252, 723, 29297, 4925, 1765, 6050, 602, 519, 3113, 1657, 267, 519, 6389, 540, 519, 6389, 543, 2039, 540, 1739, 1862, 962, 815, 476, 272, 267, 799, 2488, 513, 19231, 547, 519, 1318, 543, 476, 275, 4559, 909, 1265, 1862, 2422, 513, 24275, 10626, 547, 3113, 519, 1599, 535, 540, 1535, 568, 519, 6389, 19231, 2488, 835, 29297, 1774, 267, 815, 1862, 24306, 540, 2362, 24266, 21335, 568, 513, 811, 7294, 4305, 865, 7429, 519, 1383, 269, 1306, 596, 3100, 547, 798, 3738, 540, 2009, 586, 268, 11161, 630, 5934, 586, 17032, 547, 5021, 586, 17032, 3738, 476, 273, 1341, 476, 272, 8827, 269, 6567, 476, 273, 3738, 1341, 476, 275, 616, 3989, 585, 782, 1483, 2338, 1100, 2339, 875, 6366, 519, 9386, 1522, 1413, 596, 269, 1656, 2039, 607, 1004, 538, 11509, 3347, 568, 513, 811, 7294, 4305, 3992, 4466, 256, 634, 11270, 4422, 689, 835, 8445, 547, 519, 2039, 1018, 568, 8345, 1599, 602, 15069, 9673, 1206, 519, 2039, 513, 1862, 10163, 12230, 519, 2039, 540, 519, 3252, 649, 723, 6594, 538, 7223, 594, 3989, 256, 9324, 7631, 1807, 3160, 547, 476, 274, 343, 16302, 7132, 476, 277, 343, 14263, 476, 273, 4466, 519, 6389, 543, 519, 2039, 540, 513, 5276, 269, 1411, 945, 1489, 803, 593, 4793, 516, 517, 1840, 267, 649, 6338, 1599, 10035, 543, 960, 1896, 1806, 875, 1862, 4347, 1441, 585, 782, 1483, 2338, 4849, 476, 271, 803, 593, 4793, 516, 517, 1899, 586, 815, 2845, 476, 274, 630, 1535, 2807, 4746, 5581, 519, 6389, 540, 519, 6389, 543, 2039, 607, 1004, 538, 11509, 3347, 513, 1599, 269, 2353, 540, 596, 945, 1489, 803, 593, 4793, 516, 517, 616, 1572, 11270, 545, 3252, 543, 5021, 2418, 540, 1535, 568, 3262, 1862, 4658, 1265, 621, 5363, 547, 1589, 540, 519, 1599, 602, 15069, 9673, 1206, 519, 2039, 519, 256, 3371, 568, 4946, 476, 274, 547, 519, 1985, 12805, 1448, 476, 2567, 267, 855, 2760, 610, 269, 2986, 519, 6389, 543, 2039, 540, 575, 630, 1535, 1341, 476, 272, 3738, 8827, 476, 273, 270, 630, 15426, 476, 273, 1107, 476, 275, 3738, 476, 11054, 6389, 281, 2776, 1613, 2039, 281, 2776, 1613, 536, 607, 1004, 538, 11509, 2807, 1656, 15328, 710, 3738, 10956, 11014, 543, 616, 1572, 11270, 545, 3252, 991, 547, 568, 256, 4855, 1022, 26134, 1535, 268, 11161, 267, 1287, 519, 1114, 586, 268, 11161, 1611, 602, 596, 711, 269, 1656, 7941, 602, 676, 476, 273, 3738, 547, 476, 274, 535, 540, 1535, 568, 3160, 547, 4642, 543, 4194, 1535, 269, 634, 3113, 786, 1205, 2673, 547, 267, 855, 2760, 3444, 610, 1256, 5905, 607, 1535, 11148, 547, 476, 273, 519, 1862, 769, 519, 1599, 535, 540, 1535, 568, 3160, 547, 4642, 543, 4194, 585, 1535, 1535, 1535, 6629, 273, 1948, 269, 2473, 476, 273, 1341, 476, 274, 855, 693, 476, 274, 835, 29297, 1774, 267, 1535, 815, 476, 273, 855, 2760, 18953, 621, 1142, 2630, 269, 5153, 676, 5153, 9498, 547, 1265, 519, 3970, 1871, 883, 713, 1599, 2560, 476, 272, 3314, 585, 256, 13574, 267, 543, 2422, 519, 3113, 786, 1205, 875, 547, 1265, 519, 2039, 540, 513, 1599, 7223, 1227, 547, 267, 855, 18953, 1862, 815, 476, 274, 1535, 6567, 476, 273, 3738, 1341, 476, 275, 535, 6567, 476, 272, 630, 1535, 3738, 815, 1535, 6629, 275, 1948, 269, 1924, 922, 2039, 568, 1265, 519, 700, 7374, 540, 519, 1739, 1599, 2094, 621, 12211, 1079, 1919, 1535, 11148, 547, 28011, 4634, 5905, 948, 875, 547, 1265, 519, 2039, 540, 513, 1599, 7223, 1227, 1175, 1018, 513, 1599, 815, 476, 272, 267, 799, 2488, 513, 547, 256, 1772, 519, 6389, 543, 2039, 540, 519, 875, 547, 1265, 519, 2039, 540, 513, 1599, 7223, 1227, 535, 540, 1535, 568, 519, 1899, 586, 815, 11783, 769, 606, 3830, 1106, 602, 2882, 513, 6824, 267, 1265, 519, 3970, 676, 4466, 519, 9803, 14009, 1862, 2201, 707, 1378, 267, 543, 1152, 835, 267, 586, 17032, 5021, 2418, 540, 1535, 3160, 269, 2142, 513, 1599, 267, 1142, 1535, 17032, 814, 547, 979, 547, 835, 267, 586, 17032, 2673, 547, 267, 855, 3444, 1862, 23792, 540, 519, 1599, 535, 630, 1535, 3738, 815, 476, 274, 1840, 267, 649, 6338, 3252, 256, 4039, 566, 547, 581, 513, 1599, 2338, 1100, 2339, 875, 6366, 519, 9386, 1522, 1413, 4849, 476, 271, 1739, 1599, 630, 256, 5153, 476, 274, 281, 519, 2009, 2418, 540, 1535, 568, 519, 4463, 689, 547, 256, 476, 273, 12262, 5153, 476, 274, 12262, 5153, 476, 274, 12262, 5153, 476, 273, 12262, 5153, 12262, 269, 6423, 1018, 568, 519, 2039, 824, 568, 519, 6389, 543, 2039, 607, 1004, 538, 11509, 3347, 3168, 585, 519, 5581, 1421, 568, 1572, 513, 6935, 547, 581, 513, 1599, 547, 948, 1174, 1175, 1018, 513, 1599, 2854, 538, 3830, 1862, 3493, 1742, 593, 519, 1283, 1205, 2673, 547, 267, 855, 2760, 3444, 610, 1256, 5905, 519, 1283, 2324, 4214, 9232, 513, 269, 4347, 1149, 1141, 513, 1808, 1599, 535, 630, 1535, 1341, 476, 272, 3738, 8827, 7787, 3252, 723, 29297, 4925, 1765, 6050, 602, 3113, 269, 1677, 281, 9717, 513, 1599, 538, 707, 4674, 547, 1265, 519, 2039, 543, 7941, 602, 676, 476, 273, 2268, 4463, 1862, 1280, 5934, 543, 5021, 2418, 540, 1535, 568, 519, 6389, 543, 2039, 607, 1004, 538, 3347, 256, 5457, 281, 585, 513, 6935, 267, 2094, 972, 568, 4986, 538, 519, 3113, 786, 1205, 2673, 547, 267, 855, 3444, 256, 476, 274, 12262, 5153, 476, 272, 12262, 5153, 476, 274, 12262, 5153, 476, 273, 12262, 5153, 476, 274, 12262, 5153, 476, 274, 281, 2009, 256, 1548, 513, 1599, 476, 273, 315, 3738, 547, 476, 274, 1880, 6935, 568, 606, 15821, 1599, 267, 2094, 621, 1079, 269, 634, 11201, 540, 519, 8454, 593, 519, 824, 568, 875, 547, 1265, 519, 2039, 540, 513, 1599, 7223, 1227, 1899, 1535, 815, 476, 271, 267, 535, 1535, 1862, 1656, 960, 1896, 1806, 20515, 875, 621, 1568, 513, 269, 535, 630, 476, 271, 3738, 815, 910, 273, 24474, 543, 22599, 1862, 10163, 9689, 547, 519, 8445, 630, 610, 547, 519, 8445, 630, 610, 689, 1022, 1448, 547, 519, 543, 1862, 634, 3252, 649, 723, 6594, 538, 7223, 594, 616, 3989, 585, 782, 2418, 1862, 6435, 995, 547, 1589, 540, 519, 1739, 6935, 1341, 476, 276, 6567, 476, 274, 610, 689, 1022, 1448, 547, 1985, 269, 23792, 9498, 910, 1265, 3252, 6389, 9498, 910, 1265, 3252, 6389, 9498, 910, 1265, 3252, 1900, 8386, 9912, 1862, 1656, 2422, 519, 3113, 586, 815, 476, 272, 267, 799, 2488, 513, 19231, 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 ]
[ 0, 3848, 476, 278, 281, 21303, 13812, 13206, 527, 1846, 910, 1323, 769, 1998, 340, 762, 7066, 5501, 27933, 560, 21744, 8648, 692, 763, 21303, 11782, 267, 1340, 539, 585, 922, 29814, 19069, 543, 3665, 2916, 267, 14747, 513, 7415, 5044, 540, 7320, 9249, 602, 616, 1312, 17866, 543, 14388, 269, 901, 3184, 12538, 883, 891, 2189, 8134, 267, 741, 11317, 267, 543, 875, 1480, 2238, 1764, 873, 269, 1284, 786, 849, 2263, 519, 1909, 540, 2257, 538, 1620, 543, 8497, 891, 15999, 9249, 9624, 4657, 2053, 780, 296, 269, 4985, 692, 6524, 11362, 883, 519, 25727, 540, 21303, 7320, 9249, 267, 1577, 721, 1101, 1174, 1018, 2306, 713, 3148, 5963, 11108, 269, 28210, 693, 519, 3047, 781, 7013, 2865, 1448, 267, 19778, 13315, 5111, 476, 1691, 2929, 4009, 12919, 540, 4672, 9212, 267, 22260, 267, 9381, 10851, 267, 543, 10195, 269, 4706, 10072, 267, 13745, 609, 10792, 20296, 2175, 267, 814, 3366, 547, 3500, 12105, 3157, 4611, 538, 10058, 18508, 543, 21426, 1336, 24076, 3116, 593, 938, 4541, 269, 1717, 267, 1256, 607, 3744, 10625, 1007, 4030, 827, 713, 4241, 7706, 267, 24567, 27643, 12503, 21279, 922, 10347, 11466, 780, 2862, 269, 6833, 14111, 13206, 527, 1846, 692, 5327, 25544, 1498, 789, 949, 2408, 267, 18714, 21303, 8916, 22426, 3309, 2890, 4725, 527, 1846, 5885, 1272, 3029, 9862, 547, 7639, 896, 4101, 6381, 269, 1452, 2127, 666, 581, 17618, 19040, 883, 1614, 2010, 281, 4672, 6954, 2666, 267, 9381, 4525, 267, 543, 24654, 4672, 6656, 19114, 780, 288, 264, 10979, 6363, 872, 16140, 692, 4467, 19828, 1447, 982, 476, 272, 260, 540, 19778, 781, 2698, 1858, 267, 6534, 5127, 13702, 543, 1085, 872, 19527, 13822, 10475, 522, 1162, 585, 25836, 10664, 899, 21263, 525, 543, 6132, 2380, 269, 2480, 13593, 2429, 519, 11782, 267, 891, 15649, 4196, 607, 2629, 9960, 4609, 585, 26026, 8674, 971, 607, 1236, 340, 553, 267, 6777, 4620, 14843, 267, 543, 3505, 332, 1513, 269, 6736, 8720, 8766, 10923, 6708, 267, 4672, 6954, 12406, 3984, 1713, 6211, 4763, 11562, 13589, 11826, 5726, 3646, 780, 289, 264, 26066, 3204, 687, 692, 12709, 547, 10731, 7286, 2200, 267, 21303, 5032, 6050, 1489, 14762, 10125, 540, 32463, 267, 20910, 267, 543, 4262, 5017, 6537, 676, 726, 550, 3814, 1426, 7727, 269, 17897, 958, 27876, 2127, 2059, 13272, 6050, 1683, 1898, 21224, 4609, 1247, 7404, 7297, 751, 655, 609, 737, 18115, 1107, 6263, 12933, 30702, 8108, 519, 3490, 540, 519, 3003, 8828, 7909, 1426, 5832, 269, 10251, 267, 19856, 656, 14226, 540, 737, 18115, 21996, 13514, 4049, 6937, 547, 891, 5095, 780, 290, 264, 769, 1633, 10979, 16847, 12540, 1231, 692, 8489, 4672, 9212, 2743, 22586, 856, 23145, 1186, 267, 2189, 5054, 1634, 607, 3956, 27019, 924, 9475, 1106, 1813, 547, 19017, 2842, 321, 31500, 7452, 543, 865, 582, 269, 1452, 20538, 8134, 2777, 1585, 7103, 1519, 4551, 267, 13479, 267, 543, 4232, 28875, 602, 1404, 2565, 5107, 1369, 519, 6626, 2796, 540, 2518, 8770, 15203, 269, 5274, 14001, 2916, 1689, 12615, 919, 13621, 3928, 267, 7551, 17116, 519, 6228, 540, 891, 10578, 2934, 780, 7656, 269, 13149, 13206, 527, 1846, 692, 303, 1042, 11395, 569, 4988, 676, 4262, 4672, 585, 1454, 540, 519, 1032, 267, 21303, 7286, 9249, 8858, 11495, 4005, 1275, 12018, 3270, 540, 3119, 7607, 267, 2249, 3892, 267, 543, 4307, 1108, 269, 6206, 3334, 1331, 10652, 20723, 10851, 267, 18626, 15808, 15798, 267, 2620, 5498, 320, 30520, 267, 543, 519, 2235, 2794, 6897, 1699, 1062, 780, 288, 264, 19994, 20723, 2098, 2158, 692, 291, 22866, 19794, 883, 3982, 6106, 1759, 593, 1769, 21774, 267, 2837, 267, 24952, 267, 543, 2604, 267, 10652, 20723, 10851, 2844, 9867, 2950, 8151, 689, 20239, 25762, 543, 18186, 25762, 547, 3165, 267, 2695, 1749, 267, 543, 16385, 269, 24695, 339, 25762, 18742, 1282, 4832, 3275, 4492, 512, 13116, 22107, 3547, 24569, 2362, 11975, 267, 2943, 8337, 5836, 5210, 1981, 27200, 891, 29656, 22934, 6384, 780, 289, 264, 25550, 17125, 325, 1530, 553, 692, 9824, 8271, 13719, 3379, 547, 1930, 5836, 17909, 267, 18626, 15808, 15798, 4478, 19778, 6536, 3638, 9265, 28326, 26105, 6353, 676, 1950, 8602, 2096, 4479, 543, 1164, 8770, 11378, 269, 3733, 15488, 7068, 9468, 891, 11327, 7297, 267, 1519, 3875, 20749, 3407, 3165, 13632, 6098, 676, 4853, 10068, 7904, 1115, 269, 1133, 29970, 16276, 1223, 632, 10968, 4105, 10352, 2959, 3056, 547, 2551, 23229, 1851, 1283, 6800, 780, 290, 264, 12213, 4149, 20660, 5178, 1231, 692, 28012, 8268, 2394, 5063, 267, 5318, 8778, 338, 540, 705, 903, 15680, 23617, 8831, 3564, 19778, 781, 18626, 21684, 16475, 15116, 3954, 714, 839, 796, 3225, 5792, 585, 26799, 2509, 14402, 2627, 6106, 269, 19848, 8328, 18063, 971, 607, 5377, 911, 342, 1782, 10460, 16650, 6937, 547, 891, 17866, 7919, 267, 26089, 22608, 6042, 543, 5464, 10873, 780, 291, 264, 8562, 2794, 6897, 7351, 3590, 692, 21886, 597, 743, 532, 19778, 267, 519, 1158, 781, 4102, 1699, 3560, 338, 10373, 12531, 540, 4411, 1216, 5087, 2072, 1247, 5373, 3636, 20337, 658, 7297, 5045, 1189, 269, 23889, 782, 824, 7286, 9249, 5941, 5892, 267, 713, 6422, 1062, 21560, 6237, 2916, 267, 5222, 11626, 10009, 3270, 267, 543, 7506, 2518, 3002, 23348, 269, 9182, 267, 1022, 32677, 725, 13251, 676, 2916, 1689, 26871, 828, 622, 2484, 3564, 2199, 10253, 780, 4353, 269, 21784, 338, 543, 11094, 27557, 692, 308, 526, 523, 22239, 267, 1480, 2534, 791, 29251, 7096, 4539, 2390, 21303, 7320, 9249, 5097, 998, 4199, 10868, 267, 5533, 267, 12362, 2249, 31047, 267, 543, 2916, 14842, 269, 1677, 25559, 891, 17672, 5222, 267, 3486, 11650, 899, 519, 16257, 593, 7025, 10466, 547, 519, 21303, 15521, 11441, 547, 8190, 2067, 2418, 543, 3895, 4264, 13345, 269, 3958, 267, 3621, 1382, 4249, 11358, 5107, 27283, 8733, 3095, 1137, 267, 26655, 3609, 3664, 267, 543, 13057, 32598, 2994, 780, 309, 269, 8865, 5525, 692, 13146, 2090, 20838, 10296, 4145, 6849, 21303, 7320, 9249, 1384, 272, 269, 8055, 12789, 1421, 623, 1421, 589, 514, 2917, 267, 667, 1421, 11831, 731, 267, 717, 1421, 9466, 749, 12789, 1421, 681, 269, 700, 1421, 932, 807, 28500, 267, 700, 269, 631, 1421, 595, 17344, 1231, 267, 570, 1421, 3267, 1299, 30733, 267, 590, 269, 630, 1708, 272, 1040, 6987, 8012, 13438, 540, 7286, 19251, 2378, 320, 10044, 538, 606, 7334, 2104, 269, 7186, 10618, 267, 476, 1321, 263, 272, 1070, 476, 272, 268, 1724, 563, 567, 24167, 14486, 4220, 5185, 676, 1804, 7286, 2831, 896, 15810, 2916, 7653, 267, 3173, 11168, 14849, 3527, 2838, 547, 11574, 9271, 563, 825, 454, 273, 269, 670, 1993, 10458, 267, 661, 269, 661, 1421, 2859, 879, 267, 590, 1421, 918, 1952, 525, 267, 631, 1421, 18703, 267, 623, 269, 808, 1421, 11412, 1676, 267, 670, 1421, 5754, 1633, 518, 267, 918, 1421, 3267, 1299, 3212, 1188, 267, 700, 269, 590, 269, 630, 1708, 271, 1040, 5843, 27415, 3560, 547, 19778, 281, 634, 2956, 540, 15195, 11378, 3842, 4672, 6199, 338, 269, 13149, 21694, 28743, 267, 476, 8182, 267, 476, 9340, 275, 2190, 563, 567, 15766, 908, 2890, 680, 10415, 7127, 11507, 883, 6552, 8701, 4525, 267, 4681, 5031, 1761, 12526, 11444, 3842, 15835, 4248, 12535, 8023, 883, 9381, 8134, 780, 9654, 269, 10390, 692, 2026, 8169, 617, 2103, 540, 938, 4541, 781, 2063, 6967, 3552, 20281, 267, 621, 8813, 2390, 721, 547, 2327, 3743, 19642, 7863, 21303, 7320, 9249, 585, 16968, 640, 269, 1635, 5807, 7279, 267, 14237, 4656, 267, 543, 11121, 2962, 267, 1927, 649, 666, 16102, 891, 9048, 2897, 762, 16782, 9624, 6385, 9687, 2825, 19178, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 305, 629, 6798, 15382, 293, 267, 570, 580, 515, 631, 267, 21582, 773, 589, 267, 14355, 19836, 267, 5576, 30591, 651, 717, 267, 5062, 8867, 617, 631, 267, 14068, 326, 2044, 654, 1299, 25930, 1442, 808, 630, 1001, 275, 1040, 634, 3347, 1063, 2244, 3096, 267, 3037, 2359, 2853, 267, 543, 3037, 3327, 8454, 538, 5045, 9456, 5245, 269, 11982, 267, 23270, 338, 1299, 5113, 476, 3192, 281, 6078, 1700, 7367, 563, 305, 629, 6798, 15382, 293, 267, 570, 580, 515, 631, 267, 5548, 326, 5964, 5174, 320, 20960, 714, 334, 631, 267, 21582, 773, 589, 267, 21662, 517, 674, 267, 18243, 531, 681, 1696, 620, 269, 630, 1001, 276, 1040, 8693, 543, 3037, 3601, 3970, 519, 2318, 2360, 540, 2244, 946, 10941, 542, 593, 3327, 4859, 538, 8109, 5245, 269, 11660, 18614, 476, 276, 263, 272, 2567, 9965, 5780, 563, 305, 23042, 570, 630, 1708, 271, 1040, 29517, 10997, 6619, 609, 1269, 13040, 5479, 5989, 18180, 5103, 2594, 17211, 267, 17638, 27450, 670, 14283, 267, 17638, 267, 4179, 2517, 4178, 4732, 332, 327, 2593, 28898, 14672, 1049, 270, 985, 342, 270, 985, 342, 7302, 1173, 525, 8584, 3650, 2914, 603, 268, 13040, 1532, 11669, 19899, 5509, 1790, 760, 5202, 17393, 3145, 29627, 867, 12413, 7228, 268, 1708, 18733, 1704, 1790, 6321, 325, 534, 11258, 563, 20238, 5112, 11404, 267, 19811, 9501, 267, 631, 1495, 599, 12813, 1299, 29807, 976, 667, 630, 1708, 272, 1040, 7909, 3679, 2305, 2360, 593, 3165, 6217, 269, 18619, 540, 519, 9576, 5980, 645, 281, 18143, 7070, 476, 25971, 263, 3707, 277, 2567, 1708, 271, 2767, 7918, 563, 20238, 5112, 700, 1299, 4728, 656, 717, 630, 1708, 271, 1040, 8048, 538, 5800, 623, 21961, 1453, 779, 536, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12901, 541, 8157, 13812, 13206, 527, 1846, 257, 607, 851, 540, 834, 16300, 13493, 1315, 23089, 1315, 21069, 3204, 687, 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, 7170, 281, 4197, 769, 11987, 3733, 13771, 625, 281, 1323, 19196, 1746, 17714, 883, 26298, 15302, 2439, 6637, 476, 278, 281, 1879, 4053, 3380, 5192, 4911, 787, 281, 667, 1069, 10532, 657, 4345, 1299, 2717, 2096, 344, 657, 4345, 692, 5331, 713, 281, 596, 2811, 513, 15705, 267, 543, 707, 6091, 616, 707, 6574, 14049, 269, 1809, 1018, 952, 891, 6091, 1376, 4743, 4617, 543, 13110, 782, 519, 942, 286, 1656, 593, 1283, 540, 602, 267, 789, 1205, 8886, 730, 543, 28332, 1175, 899, 950, 596, 6952, 513, 4411, 256, 4270, 267, 602, 781, 10502, 1018, 4523, 609, 1079, 4686, 2175, 1572, 667, 1069, 10532, 657, 4345, 630, 291, 5960, 264, 543, 2717, 2096, 344, 657, 4345, 630, 303, 5960, 1040, 2913, 781, 4685, 4514, 883, 741, 12357, 569, 3579, 1158, 2439, 5978, 4703, 616, 1500, 909, 540, 959, 650, 687, 540, 6263, 2281, 2324, 1927, 547, 1711, 8031, 543, 8219, 269, 2290, 971, 1271, 5160, 568, 938, 16757, 1062, 910, 1346, 9735, 11103, 4543, 721, 1847, 1472, 267, 7914, 267, 2196, 267, 543, 1256, 7544, 256, 3767, 4952, 952, 1945, 4682, 4636, 1369, 891, 6091, 282, 789, 1831, 15319, 267, 22224, 267, 543, 1932, 4617, 547, 948, 596, 798, 707, 5172, 2238, 269, 2334, 781, 1141, 667, 5960, 543, 623, 5960, 2097, 538, 780, 291, 5960, 543, 623, 5960, 2671, 930, 10486, 855, 849, 723, 2189, 3344, 269, 5637, 4125, 6553, 1107, 602, 781, 950, 1560, 2694, 1205, 2699, 267, 3905, 267, 543, 11213, 1813, 547, 938, 8878, 1062, 8165, 1996, 1945, 5739, 269, 1717, 267, 1142, 814, 922, 1378, 28031, 802, 780, 1262, 25603, 667, 1069, 10532, 657, 4345, 630, 291, 5960, 21143, 24916, 2348, 14220, 6091, 267, 1004, 2713, 609, 667, 5960, 1419, 1020, 9490, 2943, 4241, 2589, 593, 741, 2960, 256, 898, 1522, 1413, 899, 13711, 610, 26070, 15649, 1472, 741, 22442, 1749, 267, 5679, 3089, 956, 267, 610, 1714, 28647, 269, 6884, 267, 789, 949, 1265, 2933, 3478, 3141, 14315, 539, 811, 3362, 982, 1866, 1765, 16838, 593, 31063, 2395, 256, 15434, 5414, 267, 1318, 286, 1452, 2027, 4191, 2285, 7189, 1898, 10881, 827, 1018, 1223, 581, 2469, 593, 3330, 519, 1268, 781, 1560, 780, 3719, 7227, 267, 972, 781, 811, 256, 2368, 2043, 8995, 609, 667, 5960, 2760, 1995, 1022, 4887, 8467, 693, 782, 256, 901, 7138, 1782, 3510, 3366, 3744 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8542, 636, 6831, 731, 318, 5632, 322, 4590, 13872, 1038, 1948, 5401, 3593, 547, 4283, 519, 6486, 538, 741, 1688, 454, 1038, 1820, 2891, 11767, 782, 519, 6486, 538, 707, 1688, 835, 676, 835, 23528, 1038, 1820, 2891, 2691, 596, 616, 2944, 267, 4283, 1948, 5602, 1038, 3398, 274, 815, 1412, 301, 7055, 1038, 1247, 3398, 274, 2652, 1412, 301, 12466, 2018, 1688, 318, 20657, 10757, 815, 2445, 6831, 1841, 4590, 2018, 952, 7003, 263, 8518, 318, 20657, 10757, 264, 11203, 1582, 269, 4580, 269, 1889, 8542, 636, 6831, 1841, 912, 3546, 1820, 6600, 257, 2791, 991, 547, 4283, 2715, 1345, 269, 4580, 269, 1889, 8542, 636, 6831, 1841, 348, 6486, 269, 8347, 1586, 23528, 3546, 3136, 2018, 454, 2018, 1820, 2891, 7312, 1688, 568, 24333, 1439, 6889, 19515, 2018, 585, 3556, 538, 1688, 318, 20657, 10757, 912, 3546, 1820, 6262, 731, 267, 1439, 6889, 476, 19515, 2018, 3398, 274, 815, 3403, 32429, 273, 1040, 21639, 4590, 2018, 952, 3398, 274, 2652, 1412, 304, 12466, 3546, 14827, 19629, 333, 2750, 1746, 1982, 269, 8729, 585, 1210, 1849, 826, 23618, 633, 256, 315, 333, 5602, 1038, 536, 269, 1889, 269, 8518, 815, 1688, 318, 20657, 10757, 454, 1038, 1820, 4590, 13872, 1038, 1948, 1711, 606, 3236, 540, 8074, 1504, 543, 23618, 633, 454, 1038, 562, 815, 8074, 1504, 4311, 269, 4580, 994, 1038, 1582, 8542, 1774, 1504, 815, 562, 454, 1038, 546, 815, 23618, 633, 4311, 269, 4580, 267, 1582, 8542, 1774, 1504, 994, 1038, 1582, 6155, 25018, 633, 815, 546, 28329, 1038, 1820, 2891, 7312, 4604, 568, 1631, 1305, 909, 256, 476, 1284, 2811, 4712, 547, 1404, 1849, 826, 32405, 1038, 1820, 4590, 1038, 1582, 8542, 1774, 1504, 31428, 719, 4590, 13872, 1038, 1582, 6745, 820, 4671, 1248, 263, 2452, 619, 318, 20657, 10757, 314, 271, 7481, 13872, 672, 3097, 825, 1219, 1491, 4671, 1248, 4311, 267, 6345, 2187, 4449, 454, 1038, 1699, 4671, 1248, 815, 1582, 269, 4580, 28802, 4671, 1248, 263, 16651, 994, 1038, 1775, 815, 1582, 269, 4580, 269, 20931, 28827, 263, 9690, 4671, 1248, 994, 1038, 1820, 4590, 1038, 1820, 2891, 349, 257, 265, 2420, 266, 325, 257, 5254, 11286, 570, 7838, 301, 1948, 346, 328, 266, 272, 23901, 273, 323, 348, 834, 1341, 257, 349, 257, 265, 2641, 994, 1038, 1820, 4590, 13872, 1038, 1948, 946, 2490, 17750, 1599, 547, 5401, 3593, 585, 2490, 1344, 454, 1038, 1582, 6745, 1248, 17750, 263, 16651, 267, 1699, 4671, 1248, 994, 13872, 1038, 1820, 4590, 1038, 1820, 2891, 349, 257, 265, 2537, 266, 325, 257, 13673, 291, 570, 7838, 301, 1948, 346, 328, 266, 272, 23901, 273, 323, 348, 834, 266, 257, 349, 257, 265, 2420, 994, 1038, 1820, 4590, 13872, 1038, 1582, 6155, 25018, 633, 6745, 820, 318, 17084, 263, 9690, 4671, 1248, 994, 1038, 1582, 269, 4765, 340, 2388, 4590, 13872, 1038, 1985, 318, 16651, 815, 1582, 269, 4580, 12785, 318, 16651, 263, 16651, 994, 1038, 1582, 6745, 820, 4671, 1248, 263, 10113, 318, 16651, 2020, 825, 454, 825, 1219, 2490, 17750, 4311, 267, 6345, 267, 2490, 2187, 1038, 952, 6345, 2652, 1582, 269, 4580, 269, 1889, 912, 2018, 1820, 2891, 2005, 781, 22400, 2490, 32405, 1038, 3116, 912, 2018, 1820, 6600, 24679, 568, 2715, 16651, 348, 262, 338, 2490, 23528, 1038, 1820, 4590, 13872, 1038, 7117, 272, 815, 834, 7617, 21614, 6865, 1705, 15079, 4283, 286, 1422, 333, 2414, 18178, 713, 2490, 267, 1826, 2473, 281, 834, 269, 8971, 263, 16651, 994, 1038, 7117, 273, 815, 834, 7617, 590, 4785, 303, 17614, 1705, 15079, 7058, 286, 834, 269, 8971, 263, 16651, 994, 1038, 7117, 274, 815, 834, 7617, 25723, 4338, 2177, 1705, 15079, 7058, 286, 834, 269, 8971, 263, 16651, 994, 1038, 7117, 275, 815, 834, 7617, 6345, 16355, 1386, 519, 19583, 286, 1422, 333, 2252, 1100, 835, 16355, 1386, 621, 267, 1826, 2473, 281, 27029, 1038, 7117, 276, 815, 834, 1432, 3556, 729, 7000, 286, 27029, 1038, 7117, 277, 815, 834, 18208, 13673, 9898, 547, 3398, 610, 1826, 715, 547, 556, 28273, 281, 27029, 13872, 1038, 1948, 5401, 3593, 547, 3403, 782, 519, 1344, 585, 519, 2490, 454, 1038, 1948, 20362, 1462, 657, 543, 2636, 3593, 547, 2689, 7127, 454, 1038, 1948, 2636, 3593, 547, 16718, 693, 1022, 942, 454, 1038, 3398, 815, 1412, 301, 7055, 1038, 1247, 3398, 2652, 1412, 301, 12466, 27030, 2018, 1948, 5401, 3593, 547, 4283, 4055, 610, 18178, 519, 2490, 454, 2018, 1247, 711, 568, 318, 20777, 263, 3336, 17750, 28701, 3403, 32429, 272, 1070, 1412, 305, 7112, 3299, 18178, 18989, 2187, 3546, 1820, 2891, 8923, 4283, 513, 4570, 18740, 23528, 2018, 952, 4055, 17750, 269, 21639, 3890, 2652, 1412, 311, 12466, 3546, 1820, 4590, 3546, 1820, 2891, 349, 257, 265, 1839, 266, 257, 13673, 291, 570, 7838, 301, 834, 266, 257, 349, 257, 265, 1839, 994, 3546, 1985, 318, 16651, 815, 1582, 269, 4580, 12785, 318, 16651, 263, 16651, 994, 3546, 1582, 6745, 820, 4671, 1248, 263, 10113, 318, 16651, 994, 2018, 4055, 318, 20657, 10757, 815, 8274, 6745, 4920, 17218, 263, 3336, 17750, 994, 2018, 1820, 4590, 13872, 2018, 1948, 5401, 3593, 547, 4283, 14353, 454, 2018, 1247, 711, 568, 318, 20777, 4433, 639, 1051, 17750, 28701, 3403, 32429, 273, 1070, 1412, 306, 639, 1051, 262, 2187, 3546, 1820, 2891, 8923, 4283, 513, 4570, 12246, 1051, 23528, 2018, 14353, 318, 20657, 10757, 815, 8274, 6745, 4920, 17218, 4433, 639, 1051, 17750, 994, 2018, 1820, 4590, 13872, 2018, 1948, 5401, 3593, 547, 4283, 14049, 454, 2018, 1247, 711, 568, 318, 20777, 263, 933, 777, 517, 17750, 28701, 3403, 32429, 274, 1070, 1412, 2171, 777, 517, 262, 2187, 3546, 1820, 2891, 8923, 4283, 513, 4570, 1284, 777, 517, 23528, 2018, 14049, 318, 20657, 10757, 815, 8274, 6745, 4920, 17218, 263, 933, 777, 517, 17750, 994, 2018, 1820, 4590, 27030, 2018, 1948, 4558, 19583, 538, 1699, 2490, 454, 2018, 19583, 815, 630, 338, 639, 1051, 318, 20657, 10757, 267, 14049, 318, 20657, 10757, 267, 4055, 318, 20657, 10757, 994, 2018, 2490, 4732, 340, 2248, 542, 815, 19583, 28329, 2018, 1948, 5401, 3593, 547, 4283, 16355, 591, 267, 952, 1022, 454, 2018, 1247, 711, 568, 318, 20777, 263, 4134, 2889, 591, 17750, 28701, 3403, 32429, 275, 1070, 1412, 306, 639, 1051, 3299, 18178, 18989, 2187, 3546, 1820, 2891, 8923, 4283, 513, 4570, 12246, 1051, 23528, 2018, 952, 16355, 591, 17750, 269, 21639, 3890, 11203, 1412, 311, 12466, 3546, 16355, 591, 318, 20657, 10757, 815, 8274, 6745, 4920, 17218, 263, 4134, 2889, 591, 17750, 994, 3546, 2490, 269, 4134, 2889, 591, 815, 16355, 591, 318, 20657, 10757, 454, 2018, 1820, 4590, 13872, 2018, 1948, 5401, 3593, 547, 4283, 7000, 3556, 267, 952, 1022, 454, 2018, 952, 6345, 2652, 1582, 269, 4580, 269, 1889, 543, 16355, 591, 17750, 11203, 1412, 311, 12466, 3546, 1247, 711, 568, 318, 20777, 263, 516, 557, 4705, 17750, 28701, 3403, 32429, 276, 15892, 7386, 1820, 2891, 8923, 4283, 513, 4570, 3556, 23528, 3546, 7000, 318, 20657, 10757, 815, 8274, 6745, 4920, 17218, 263, 516, 557, 4705, 17750, 994, 3546, 2490, 18622, 557, 4705, 815, 7000, 318, 20657, 10757, 454, 3546, 1820, 4590, 4449, 454, 2018, 1948, 1820, 21533, 540, 7127, 585, 3593, 547, 2689, 454, 2018, 952, 6345, 2652, 1582, 269, 4580, 269, 1889, 912, 3546, 1820, 6600, 257, 2791, 6700, 2715, 338, 639, 1051, 318, 20657, 10757, 348, 609, 519, 2715, 933, 777, 517, 318, 20657, 10757, 348, 538, 519, 2715, 3336, 318, 20657, 10757, 348, 23528, 3546, 952, 16355, 591, 17750, 269, 21639, 3890, 2652, 1412, 311, 12466, 7386, 1820, 2891, 5591, 6345, 16355, 1386, 23528, 3546, 3116, 912, 7386, 1820, 6600, 257, 346, 4134, 2889, 591, 318, 20657, 10757, 348, 16355, 1386, 543, 7000, 2715, 516, 557, 4705, 318, 20657, 10757, 348, 23528, 2018, 3116, 912, 3546, 1820, 6600, 257, 346, 16651, 348, 6700, 2715, 338, 639, 1051, 318, 20657, 10757, 348, 609, 519, 2715, 933, 777, 517, 318, 20657, 10757, 348, 538, 519, 2715, 3336, 318, 20657, 10757, 348, 23528, 3546, 952, 16355, 591, 17750, 269, 21639, 3890, 2652, 1412, 311, 12466, 7386, 1820, 2891, 5591, 6345, 16355, 1386, 23528, 3546, 3116, 912, 7386, 1820, 6600, 257, 346, 4134, 2889, 591, 318, 20657, 10757, 348, 16355, 1386, 23528, 27030, 2018, 1948, 2636, 3593, 547, 3398, 610, 7947, 7127, 543, 2119, 1586, 454, 2018, 3398, 815, 3403, 32429, 277, 1040, 21639, 4590, 2018, 1820, 4590, 2018, 952, 3398, 2652, 1412, 304, 12466, 3546, 14827, 19629, 333, 2750, 1746, 1982, 269, 8729, 585, 1210, 1849, 826, 23618, 633, 256, 315, 333, 5602, 8528, 825, 1219, 17429, 2388, 4311, 2187, 1038, 1820, 4590, 1038, 1820, 2891, 265, 257, 265, 2190, 266, 257, 667, 3633, 10813, 16739, 834, 266, 257, 265, 257, 265, 2190, 994, 1038, 1820, 4590, 1038, 4967, 318, 5586, 754, 4590, 1038, 1820, 4590, 25639, 454, 1038, 952, 1582, 269, 4580, 4732, 1828, 18994, 5334, 9407, 10031, 2018, 14353, 815, 1582, 269, 4580, 4732, 1828, 4732, 639, 1051, 454, 2018, 14049, 815, 1582, 269, 4580, 4732, 1828, 269, 933, 777, 517, 454, 2018, 4055, 815, 1582, 269, 4580, 4732, 1828, 269, 3336, 454, 2018, 3070, 318, 3316, 1676, 4433, 639, 1051, 267, 14049, 267, 4055, 994, 2018, 1820, 4590, 2018, 14827, 2891, 2750, 1746, 1982, 269, 8729, 585, 1210, 1849, 826, 23618, 633, 256, 315, 333, 5602, 13872, 1038, 8640, 1582, 269, 4580, 4732, 1828, 269, 2254, 5334, 9407, 10031, 2018, 1820, 2891, 5591, 3435, 1336, 2943, 23528, 2018, 1820, 4590, 2018, 1582, 8542, 1774, 1504, 31428, 719, 4590, 13872, 1038, 8640, 1582, 269, 4580, 4732, 1828, 269, 4820, 6053, 5334, 9407, 10031, 2018, 1820, 2891, 8512, 658, 3070, 1336, 23528, 2018, 952, 1582, 269, 4580, 4732, 1828, 4732, 639, 1051, 912, 3546, 1820, 2891, 306, 4785, 303, 17614, 815, 14307, 1582, 269, 4580, 4732, 1828, 4732, 639, 1051, 994, 2018, 952, 1582, 269, 4580, 4732, 1828, 269, 933, 777, 517, 912, 3546, 1820, 2891, 25446, 4338, 2177, 815, 14307, 1582, 269, 4580, 4732, 1828, 269, 933, 777, 517, 994, 2018, 952, 1582, 269, 4580, 4732, 1828, 269, 3336, 912, 3546, 1820, 2891, 4629, 6865, 815, 14307, 1582, 269, 4580, 4732, 1828, 269, 3336, 994, 2018, 1820, 4590, 2018, 1582, 8542, 1774, 1504, 31428, 719, 10797, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1376, 815, 5422, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 2221, 781, 3728, 19550, 1158, 267, 2228, 10918, 814, 1831, 513, 13766, 267, 5356, 721, 13418, 543, 16134, 950, 621, 2501, 547, 16565, 5370, 543, 2533, 269, 901, 7678, 814, 849, 694, 788, 539, 883, 519, 7706, 540, 5708, 267, 15832, 267, 5026, 267, 543, 17075, 532, 12439, 945, 3343, 2189, 25584, 6273, 676, 741, 5172, 2250, 1307, 269, 1717, 267, 10188, 519, 5318, 5836, 540, 552, 19645, 5867, 3340, 20559, 618, 543, 1702, 269, 769, 713, 3184, 267, 649, 786, 5490, 4514, 883, 519, 1148, 540, 2228, 10918, 267, 4481, 3358, 585, 17075, 7192, 20601, 15606, 5275, 2648, 19899, 4310, 7328, 1873, 792, 543, 17960, 780, 296, 269, 4197, 6732, 19255, 4771, 454, 288, 269, 22436, 540, 6732, 19255, 4771, 454, 272, 269, 1230, 1597, 1466, 910, 634, 2702, 547, 19584, 543, 6718, 3688, 689, 519, 4313, 540, 835, 781, 1378, 1753, 23352, 519, 991, 585, 2951, 267, 3850, 2043, 547, 4688, 1312, 942, 543, 2724, 269, 5015, 267, 5561, 666, 6300, 693, 1022, 5662, 540, 519, 1554, 267, 3246, 26080, 8112, 563, 273, 269, 18948, 19255, 4771, 910, 661, 19645, 5867, 5512, 6800, 547, 5635, 5777, 543, 2934, 3533, 267, 4180, 789, 1265, 519, 1655, 2009, 9388, 1510, 2348, 547, 3643, 2789, 2168, 8637, 563, 274, 269, 17352, 543, 13158, 902, 910, 21436, 5955, 3091, 3407, 4030, 883, 2472, 543, 2533, 267, 7175, 18046, 547, 1118, 5483, 3664, 1759, 593, 1866, 262, 2833, 269, 1452, 16499, 517, 10118, 948, 1711, 3972, 1063, 18046, 543, 23965, 267, 6038, 5807, 1279, 3856, 3347, 563, 289, 269, 32539, 540, 6732, 19255, 4771, 454, 272, 269, 8232, 24093, 910, 4014, 5150, 14238, 2409, 2149, 6213, 1344, 1282, 8852, 267, 8320, 540, 3961, 17403, 543, 12611, 1869, 2049, 269, 3117, 28366, 1590, 2611, 21713, 543, 2327, 789, 1152, 2671, 2556, 1239, 609, 18019, 21527, 563, 273, 269, 19768, 540, 19358, 2225, 910, 9453, 9308, 7829, 513, 1587, 267, 1761, 4136, 553, 619, 949, 4413, 856, 593, 1271, 3877, 971, 607, 2450, 267, 2597, 267, 9403, 267, 610, 2949, 2298, 269, 1677, 11574, 713, 1981, 267, 1082, 21625, 2709, 21464, 2132, 4507, 267, 4758, 5561, 4708, 540, 2247, 950, 1818, 16306, 563, 2862, 269, 19484, 519, 2622, 540, 11470, 267, 23620, 267, 543, 717, 6504, 8585, 577, 663, 1047, 454, 288, 269, 17291, 11565, 18976, 966, 754, 832, 454, 272, 269, 3194, 15783, 590, 25527, 910, 6969, 2502, 538, 513, 11834, 267, 8495, 519, 29449, 781, 10639, 998, 3406, 9817, 267, 1514, 2923, 9055, 267, 543, 7082, 2689, 7270, 269, 6733, 585, 3270, 10834, 5812, 2773, 543, 10727, 563, 273, 269, 7638, 1518, 13555, 6176, 910, 589, 16048, 1870, 1058, 1683, 2312, 3346, 3877, 267, 1519, 4757, 9607, 267, 6049, 2338, 267, 543, 544, 9430, 9607, 269, 1403, 713, 1344, 5526, 15534, 610, 19035, 267, 8399, 609, 13657, 563, 274, 269, 24344, 32237, 10613, 910, 3115, 17014, 21527, 946, 24290, 8569, 1949, 267, 7863, 5561, 1996, 2883, 2530, 1813, 547, 28892, 610, 30081, 2238, 269, 3680, 4687, 5491, 3556, 1344, 3842, 796, 5913, 3293, 2792, 9055, 630, 324, 3052, 1421, 4757, 1916, 289, 269, 22034, 21436, 24720, 454, 272, 269, 7335, 8605, 17352, 910, 28392, 829, 2224, 6075, 8039, 547, 2744, 5813, 883, 824, 3755, 262, 2833, 609, 1808, 2472, 269, 9796, 3007, 547, 18596, 4798, 543, 2152, 267, 4543, 1217, 707, 3375, 6194, 1184, 563, 273, 269, 22718, 590, 11839, 13158, 902, 910, 21414, 22673, 16863, 7258, 1367, 1587, 8039, 267, 6236, 2188, 971, 607, 11288, 2053, 267, 11183, 2298, 267, 543, 30506, 547, 6075, 28780, 563, 7656, 269, 16871, 717, 6504, 268, 11900, 18944, 674, 1662, 687, 543, 7457, 1559, 454, 288, 269, 2561, 28328, 27837, 676, 16520, 4147, 923, 543, 21434, 30123, 999, 454, 272, 269, 9956, 534, 5071, 338, 910, 19305, 519, 15851, 5898, 540, 19151, 543, 19201, 610, 519, 18854, 540, 13518, 1520, 334, 6168, 23875, 609, 813, 28328, 10023, 10530, 267, 18305, 267, 543, 12383, 6537, 689, 891, 5929, 8941, 269, 5994, 1193, 4575, 5196, 519, 4023, 3118, 21039, 607, 14956, 3559, 807, 267, 1200, 10347, 27536, 13862, 740, 528, 940, 707, 1471, 528, 267, 610, 751, 4370, 1055, 899, 19468, 29029, 267, 759, 680, 754, 550, 538, 513, 7524, 569, 11954, 1135, 334, 2377, 331, 7571, 539, 609, 3515, 689, 1200, 4583, 19815, 565, 776, 5385, 609, 27015, 1157, 563, 273, 269, 9839, 342, 9879, 17166, 902, 910, 18124, 15754, 622, 27742, 998, 11029, 2943, 26374, 6835, 1016, 3916, 730, 883, 1164, 26024, 17234, 269, 6333, 23157, 12946, 2295, 325, 3881, 7215, 971, 607, 834, 20288, 268, 1197, 962, 2293, 257, 610, 834, 27094, 593, 519, 25103, 2437, 23187, 6612, 543, 11428, 1312, 593, 543, 1055, 519, 3039, 563, 289, 269, 717, 22284, 585, 29533, 2037, 28387, 328, 6814, 454, 272, 269, 9608, 1242, 11833, 3213, 951, 910, 5548, 697, 707, 6068, 3283, 609, 2688, 8630, 6227, 18705, 689, 29413, 2326, 543, 30996, 1639, 609, 2123, 1395, 9999, 610, 2027, 7389, 16033, 908, 1713, 19325, 538, 707, 2078, 563, 273, 269, 23433, 1855, 525, 910, 5080, 21215, 28048, 17075, 619, 609, 3209, 1399, 751, 525, 29501, 539, 609, 11509, 24185, 610, 5339, 8100, 267, 4946, 9644, 543, 19259, 547, 741, 29863, 269, 6201, 1331, 834, 2414, 555, 710, 1378, 18711, 581, 3020, 257, 630, 295, 600, 2280, 264, 610, 834, 9802, 16815, 11479, 979, 2484, 543, 2786, 267, 1250, 15210, 4799, 290, 269, 15638, 543, 12875, 23788, 454, 272, 269, 21676, 1255, 4825, 805, 338, 910, 4643, 513, 15964, 9101, 585, 1079, 10704, 1472, 3838, 4690, 267, 9256, 18198, 29278, 267, 4101, 6030, 267, 543, 29915, 908, 838, 320, 5574, 2966, 12799, 585, 15185, 269, 16237, 6533, 7554, 543, 11349, 8823, 9624, 2357, 323, 656, 8916, 24188, 540, 13191, 3243, 523, 9089, 610, 4207, 32741, 7567, 563, 273, 269, 4077, 640, 12875, 23788, 910, 12160, 622, 538, 24960, 545, 2621, 5885, 17709, 3123, 2673, 547, 707, 2295, 267, 9870, 4656, 543, 7616, 1382, 3646, 1247, 11981, 7874, 6735, 10838, 8284, 18793, 269, 18918, 538, 3303, 1243, 1404, 6616, 602, 707, 7418, 1489, 4105, 7341, 6131, 547, 5355, 2729, 5001, 563, 3528, 1739, 891, 4808, 267, 596, 666, 18390, 6330, 519, 2479, 21608, 5251, 540, 2228, 10918, 267, 22876, 1005, 12300, 13344, 543, 31042, 30933, 602, 8661, 707, 18653, 585, 3332, 267, 15832, 267, 543, 17075, 269, 3414, 6297, 7156, 540, 11967, 21527, 267, 9488, 2079, 540, 6075, 5955, 267, 543, 3860, 5542, 540, 17075, 30816, 535, 1662, 687, 543, 17960, 267, 596, 786, 21592, 707, 521, 691, 3645, 5079, 543, 3986, 707, 4296, 609, 2186, 1042, 14326, 8087, 538, 741, 7071, 585, 1272, 781, 6574, 5418, 9778, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 15697, 10918, 814, 1831, 835, 585, 713, 2596, 29476, 538, 938, 5488, 1554, 547, 1554, 2729, 269, 2372, 924, 513, 3787, 1004, 4782, 2590, 547, 4444, 2228, 2864, 982, 9683, 519, 15945, 607, 2488, 873, 519, 5191, 547, 959, 1074, 1115, 1034, 5078, 4781, 267, 1247, 8569, 7154, 568, 1360, 2241, 269, 1924, 1004, 1616, 547, 1451, 602, 519, 1655, 1259, 547, 798, 2228, 10918, 267, 585, 596, 547, 2057, 1022, 32657, 2355, 563, 6624, 1357, 15945, 899, 8835, 543, 552, 321, 599, 723, 568, 7843, 340, 899, 2701, 514, 6075, 8039, 267, 865, 1491, 5413, 540, 1346, 269, 2052, 711, 1589, 540, 1945, 811, 8886, 908, 982, 2469, 585, 519, 4558, 547, 1945, 267, 538, 1931, 547, 2097, 1753, 543, 799, 616, 960, 269, 1635, 2921, 519, 942, 547, 1224, 8039, 267, 596, 723, 1732, 2404, 609, 3478, 513, 1587, 610, 3028, 596, 2461, 1543, 539, 609, 543, 4465, 1406, 723, 547, 22036, 519, 991, 585, 13059, 563, 9558, 1636, 566, 3622, 568, 513, 31484, 548, 1247, 596, 6300, 693, 606, 2025, 1922, 5831, 539, 32041, 269, 1411, 723, 547, 6108, 7482, 593, 4492, 267, 4339, 519, 6808, 267, 12398, 513, 18736, 5544, 267, 543, 4163, 782, 707, 12349, 598, 529, 1457, 725, 547, 519, 18914, 269, 2060, 6732, 19255, 4771, 267, 596, 798, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 23620, 1315, 11846, 1315, 717, 6504, 532, 585, 11146, 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, 10794, 4886, 6713, 281, 1323, 11137, 692, 763, 3014, 1646, 1184, 568, 513, 1950, 543, 6946, 1062, 602, 3322, 2789, 5933, 543, 3340, 5698, 1063, 4648, 609, 3309, 5578, 5036, 269, 634, 5137, 540, 513, 3811, 3381, 3014, 5673, 593, 1896, 2188, 1519, 5876, 267, 2930, 6791, 267, 1788, 2359, 267, 6725, 2994, 267, 543, 1870, 1035, 18210, 269, 901, 3296, 12538, 883, 519, 1585, 11775, 3238, 538, 2870, 513, 3381, 3014, 689, 17748, 547, 12032, 1247, 10771, 922, 10083, 547, 2951, 267, 2027, 1719, 267, 1870, 267, 543, 2872, 10391, 5432, 1436, 15143, 780, 272, 269, 16721, 3174, 18001, 281, 8211, 566, 543, 10417, 783, 1436, 692, 9336, 3014, 5956, 609, 606, 2856, 910, 513, 8141, 540, 6667, 602, 5337, 2572, 519, 3860, 9345, 540, 9367, 269, 2311, 713, 3942, 267, 519, 2319, 16540, 338, 2093, 267, 5932, 1374, 6054, 24152, 519, 5075, 267, 3853, 267, 3077, 5304, 267, 9135, 267, 4259, 267, 1650, 1467, 267, 543, 11707, 540, 519, 6069, 3014, 269, 1358, 2263, 4798, 8151, 689, 3140, 2621, 547, 28531, 10600, 267, 1414, 30235, 9035, 547, 10853, 13502, 267, 23695, 547, 8795, 6345, 7375, 543, 2686, 22740, 8481, 269, 1280, 3236, 267, 3384, 513, 4087, 2861, 21284, 4641, 630, 2752, 264, 3014, 899, 623, 5803, 3000, 3619, 19329, 9488, 1382, 827, 519, 6074, 18353, 262, 1686, 267, 2528, 267, 18691, 267, 11585, 267, 543, 22097, 269, 4935, 267, 3872, 19150, 5059, 593, 891, 3344, 1831, 1898, 780, 273, 269, 13870, 18001, 281, 5071, 267, 3203, 1740, 267, 14691, 267, 14675, 7177, 692, 5629, 519, 1523, 568, 4396, 1881, 267, 6887, 8399, 547, 1711, 7221, 2838, 585, 2504, 269, 1452, 949, 1331, 476, 274, 291, 3631, 267, 838, 27866, 267, 5054, 267, 3593, 17103, 267, 2575, 8464, 267, 3280, 2360, 267, 3092, 1421, 4470, 2390, 519, 1826, 540, 3014, 1373, 3812, 269, 3962, 3693, 8309, 3648, 2509, 7393, 3593, 1995, 543, 21599, 1369, 519, 5691, 1604, 269, 13488, 4249, 513, 2629, 1909, 1282, 713, 5123, 1932, 282, 9683, 15882, 267, 1148, 26847, 267, 3140, 21056, 267, 2067, 11614, 267, 543, 824, 18845, 666, 8300, 5159, 267, 9858, 267, 543, 12372, 7567, 267, 3056, 547, 8076, 543, 2502, 5468, 267, 23877, 267, 6386, 267, 543, 8301, 2609, 780, 8245, 6714, 3585, 267, 23501, 960, 593, 7598, 4295, 29782, 1210, 3617, 3301, 2645, 543, 5752, 4654, 269, 13689, 593, 519, 3760, 4433, 1070, 789, 11126, 3009, 585, 2773, 267, 4180, 15774, 5872, 2066, 3457, 269, 2060, 7760, 538, 6531, 7384, 267, 14164, 267, 3642, 267, 15283, 267, 8121, 267, 543, 3684, 1565, 4066, 267, 3444, 13807, 520, 845, 17356, 814, 6591, 14063, 2956, 267, 6679, 9885, 585, 5499, 3156, 2066, 6080, 269, 5482, 15143, 10704, 1472, 6639, 32387, 267, 10509, 1163, 657, 267, 543, 3059, 2923, 8041, 1683, 3407, 4030, 883, 6932, 3466, 543, 1655, 2853, 780, 274, 269, 13281, 1299, 10866, 2667, 4269, 18001, 281, 7591, 11687, 532, 267, 13891, 19982, 267, 26659, 692, 26660, 22059, 568, 11358, 538, 12419, 25509, 11080, 2833, 1863, 689, 12961, 267, 1350, 9662, 267, 26301, 267, 610, 561, 4711, 269, 18806, 1562, 2308, 1585, 16097, 971, 607, 3109, 4216, 4152, 630, 325, 1371, 532, 593, 10342, 1510, 1702, 540, 4835, 3889, 1070, 3043, 4216, 4152, 630, 1410, 600, 1456, 4835, 4238, 1070, 15454, 4216, 4152, 630, 18474, 1588, 23476, 1070, 9695, 4152, 630, 516, 701, 730, 11056, 1310, 12381, 1070, 2566, 4152, 630, 335, 5241, 1949, 3564, 7182, 1070, 543, 31338, 4152, 630, 611, 2194, 532, 547, 6237, 4170, 1040, 12160, 908, 538, 11360, 987, 976, 267, 8193, 19194, 267, 610, 11925, 6896, 676, 18019, 5238, 1223, 5351, 14971, 512, 22246, 538, 28798, 4143, 1983, 780, 275, 269, 16373, 1299, 17392, 18001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 32030, 267, 543, 18512, 11824, 19771, 269, 2290, 540, 519, 1034, 9159, 5389, 568, 519, 5305, 540, 26816, 3179, 883, 519, 3781, 6607, 267, 1129, 4328, 938, 11488, 16858, 543, 9909, 909, 883, 519, 6801, 563, 1103, 519, 22070, 3148, 540, 8895, 545, 807, 267, 5487, 715, 28970, 632, 5842, 20844, 3217, 593, 513, 811, 25386, 1915, 269, 9147, 22469, 12738, 543, 4978, 616, 1869, 1459, 538, 519, 16873, 267, 799, 1331, 13755, 18394, 267, 1184, 687, 267, 543, 519, 4616, 540, 2048, 4302, 574, 3385, 16224, 513, 2757, 8895, 6509, 4235, 1500, 689, 30341, 14326, 267, 4006, 267, 543, 4829, 563, 17442, 715, 28970, 632, 5842, 20844, 568, 513, 9589, 3781, 540, 3595, 267, 1216, 267, 543, 3504, 12738, 602, 814, 26970, 519, 12271, 540, 1004, 585, 5553, 269, 6787, 596, 3442, 547, 8661, 593, 513, 14297, 11824, 267, 538, 513, 8978, 2749, 267, 610, 9624, 519, 27726, 5898, 540, 8895, 545, 807, 267, 713, 22539, 2680, 3091, 513, 2189, 543, 20605, 1995, 269, 0, 334, 2337, 873, 5431, 3983, 6117, 6208, 543, 6338, 873, 547, 811, 5078, 6117, 2853, 563, 650, 948, 596, 2087, 707, 2790, 7041, 1354, 513, 5180, 543, 786, 948, 596, 1205, 519, 3440, 538, 519, 8559, 538, 519, 1906, 652, 15833, 2009, 563, 542, 267, 610, 6117, 4245, 269, 589, 9920, 779, 2069, 1576, 786, 5965, 596, 547, 5397, 513, 6174, 9108, 543, 19100, 269, 1703, 616, 1079, 1292, 21195, 585, 454, 340, 528, 728, 26025, 543, 5711, 9882, 269, 5901, 707, 4522, 543, 5023, 2973, 543, 596, 3580, 581, 593, 519, 4155, 547, 513, 4190, 12837, 269, 1411, 666, 849, 1451, 454, 28205, 4388, 267, 596, 786, 1831, 513, 1732, 9920, 538, 1100, 942, 269, 1403, 596, 616, 3168, 585, 513, 4876, 538, 6117, 267, 891, 1983, 786, 454, 11276, 540, 873, 693, 519, 3084, 1377, 568, 1634, 607, 13354, 1876, 269, 3962, 1062, 15320, 689, 519, 824, 676, 6220, 519, 9342, 543, 12755, 540, 1142, 563, 21827, 4766, 519, 1455, 561, 19123, 267, 519, 595, 2727, 534, 267, 519, 594, 7666, 534, 1014, 17953, 561, 19123, 267, 543, 519, 4201, 1105, 545, 17953, 561, 19123, 563, 529, 6362, 3441, 610, 32657, 663, 1782, 269, 1358, 849, 666, 2057, 3441, 952, 596, 723, 17866, 3688, 269, 1358, 849, 917, 875, 547, 3640, 707, 3688, 5402, 865, 454, 601, 543, 2285, 21513, 538, 519, 9920, 779, 10160, 547, 1577, 596, 917, 602, 789, 991, 6351, 269, 901, 2029, 786, 948, 596, 2057, 10913, 676, 5329, 596, 10332, 543, 0, 2691, 27104, 720, 12536, 4422, 4636, 454, 2252, 513, 21131, 538, 519, 9641, 685, 31276, 10008, 568, 711, 23498, 5781, 267, 7244, 7965, 666, 1020, 563, 1103, 513, 1353, 3370, 538, 3163, 16332, 1108, 267, 513, 2319, 3366, 676, 12138, 631, 843, 1676, 543, 21926, 574, 2274, 583, 345, 814, 1631, 6045, 519, 11358, 1909, 540, 519, 16606, 3815, 595, 27582, 21990, 321, 538, 713, 1184, 563, 8980, 2274, 583, 345, 267, 11022, 290, 454, 763, 5385, 540, 9362, 1063, 519, 2011, 649, 13236, 543, 938, 1973, 3217, 1747, 3842, 31276, 10008, 1107, 6263, 2011, 5485, 338, 538, 938, 9641, 269, 1280, 713, 1184, 547, 2196, 12347, 267, 519, 25853, 2281, 540, 519, 31276, 10008, 3132, 513, 6219, 1572, 968, 31162, 2399, 656, 892, 602, 6227, 519, 31276, 10008, 899, 513, 4670, 269, 901, 1950, 5161, 5631, 540, 8485, 30649, 1749, 543, 5946, 543, 5713, 547, 2569, 519, 2627, 8082, 540, 519, 31276, 10008, 269, 898, 849, 6411, 899, 513, 6882, 267, 28761, 29212, 4551, 543, 8290, 602, 4283, 519, 9641, 950, 649, 11375, 1446, 563, 20776, 2399, 656, 568, 11179, 9658, 1540, 267, 607, 519, 6219, 1031, 568, 7683, 1373, 7745, 1524, 543, 23498, 2476, 676, 31276, 6897, 31457, 630, 4456, 338, 264, 1107, 25094, 10152, 2281, 593, 519, 31276, 10008, 269, 901, 1184, 15387, 519, 1318, 3666, 1063, 1147, 2399, 656, 10282, 543, 12871, 267, 513, 1533, 1634, 607, 27921, 269, 968, 3719, 952, 621, 4422, 1659, 787, 267, 811, 543, 811, 540, 519, 21131, 7213, 12885, 538, 519, 9641, 267, 799, 791, 4202, 7244, 543, 4679, 519, 1981, 540, 5761, 5563, 2223, 6941, 7905, 12138, 631, 843, 1676, 267, 513, 5449, 1261, 17470, 6199, 8284, 693, 519, 7665, 5548, 1962, 6686, 1188, 4741, 543, 1631, 513, 1895, 6205, 693, 519, 2160, 540, 12395, 340, 269, 631, 843, 1676, 568, 519, 2063, 2278, 540, 519, 1353, 543, 814, 1044, 15388, 31457, 585, 476, 736, 1296, 269, 968, 2171, 4941, 547, 917, 1018, 11151, 891, 17422, 943, 698, 14231, 689, 8647, 5265, 2223, 646, 3081, 269, 1323, 936, 3147, 636, 1637, 540, 1147, 2399, 656, 666, 1267, 538, 17422, 31276, 6897, 3940, 2670, 630, 303, 4338, 264, 1107, 513, 554, 2416, 1729, 1651, 9092, 2068, 602, 267, 538, 4049, 2665, 267, 3340, 2550, 685, 9641, 547, 581, 5781, 1166, 19813, 563, 763, 2629, 1909, 540, 595, 27582, 21990, 321, 454, 763, 1353, 729, 15427, 676, 519, 6602, 602, 31276, 6897, 31457, 3112, 1020, 5265, 952, 789, 3668, 595, 27582, 21990, 321, 269, 7905, 21926, 574, 2274, 583, 345, 814, 1044, 15388, 519, 1599, 540, 713, 16606, 3815, 585, 1082, 1296, 269, 1261, 568, 2212, 540, 519, 8426, 7756, 2747, 543, 570, 32214, 3394, 8412, 6997, 693, 519, 11022, 290, 267, 799, 18799, 631, 843, 1676, 779, 4830, 1382, 1895, 269, 4033, 11022, 290, 3173, 3238, 538, 519, 1353, 3769, 3220, 269, 772, 3279, 670, 7238, 335, 5287, 543, 3220, 269, 11023, 6403, 334, 20908, 14243, 338, 700, 1575, 328, 5451, 10722, 14162, 25661, 17144, 269, 3414, 7636, 6211, 2090, 543, 3662, 6901, 267, 519, 2319, 729, 2111, 547, 2491, 519, 1909, 540, 595, 27582, 21990, 321, 269, 4256, 2164, 723, 1631, 1044, 3370, 538, 519, 4760, 3163, 16332, 1108, 563, 14071, 9678, 31276, 6897, 31457, 689, 2635, 8983, 543, 689, 1346, 15877, 519, 5444, 585, 595, 27582, 21990, 321, 543, 5342, 538, 20117, 4255, 593, 891, 4761, 2281, 2223, 6941, 519, 1353, 779, 1291, 2278, 267, 3220, 269, 16910, 6139, 320, 667, 23152, 337, 269, 968, 2171, 849, 5342, 1585, 11646, 543, 13973, 727, 9382, 540, 28448, 9678, 2281, 1848, 13018, 267, 519, 11001, 11567, 519, 6211, 543, 7636, 3601, 540, 7537, 338, 1107, 1775, 4318, 1421, 875, 1134, 789, 616, 2111, 547, 10110, 543, 8311, 1125, 26307, 269, 2755, 519, 31457, 540, 2635, 8983, 5340, 741, 4247, 5265, 267, 1346, 13939, 689, 519, 16220, 9168, 8983, 3576, 909, 543, 6740, 513, 2603, 540, 519, 26307, 855, 941, 8572, 547, 7558, 873, 269, 5502, 267, 789, 2220, 8215, 909, 883, 865, 10777, 968, 325, 27961, 2281, 892, 543, 4166, 829, 1639, 267, 2699, 788, 657, 1746, 519, 28041, 26307, 269, 634, 1482, 7613, 814, 1044, 4767, 676, 7189, 8156, 519, 5761, 2068, 623, 4338, 269, 769, 1840, 267, 519, 26843, 31457, 9863, 18923, 2111, 547, 17297, 4733, 563, 2304, 1271, 4062, 540, 519, 11015, 454, 300, 12817, 9382, 2417, 4951, 602, 1776, 1271, 5444, 1107, 849, 513, 16606, 3815, 1107, 568, 1524, 29970, 538, 8983, 15877, 519, 595, 27582, 21990, 321, 5444, 281, 26076, 2752, 326, 269, 1879, 15181, 267, 713, 22262, 267, 1851, 824, 1919, 267, 519, 19718, 540, 9761, 7408, 543, 519, 15285, 540, 3170, 2281, 543, 31457, 538, 519, 1560, 563, 763, 5761, 2068, 623, 4338, 568, 3622, 519, 1267, 540, 2042, 538, 519, 15202, 13374, 540, 519, 22270, 710, 10648, 4211, 306, 293, 267, 799, 6763, 585, 11491, 592, 22889, 2173, 659, 5268, 720, 12733, 3613, 574, 6819, 3815, 269, 968, 2171, 2907, 6785, 602, 1978, 1898, 3252, 540, 31276, 6897, 31457, 616, 6417, 3842, 519, 10648, 4211, 306, 293, 15202, 13374, 2223, 3081, 631, 843, 1676, 269, 968, 3086, 649, 723, 1336, 602, 31457, 28119, 538, 595, 27582, 21990, 321, 1397, 4049, 23659, 17313, 538, 519, 18735, 540, 891, 2281, 543, 519, 12159, 540, 1147, 2399, 656, 267, 4929, 513, 623, 4338, 6438, 21454, 538, 8983, 1848, 898, 4667, 267, 4061, 267, 602, 595, 27582, 21990, 321, 568, 519, 7508, 9431, 3095, 1063, 519, 10648, 4211, 306, 293, 543, 26076, 2752, 326, 15202, 11444, 269, 968, 2005, 779, 899, 513, 795, 12127, 1177, 11015, 2223, 6941, 2274, 583, 345, 269, 968, 2252, 596, 2322, 538, 513, 1978, 4062, 267, 824, 7508, 4773, 616, 10393, 1454, 4443, 547, 1265, 3034, 288, 1883, 547, 1620, 824, 3676, 888, 21547, 5268, 1137, 949, 581, 519, 25094, 10152, 2281, 540, 519, 4761, 1062, 267, 855, 789, 798, 2484, 811, 982, 1175, 2312, 4551, 543, 8290, 856, 540, 938, 1062, 269, 5272, 1418, 814, 922, 1378, 7463, 31457, 269, 769, 519, 28889, 9934, 540, 519, 2634, 267, 585, 1383, 267, 789, 723, 519, 4305, 540, 8840, 1524, 11409, 543, 5348, 22663, 602, 616, 1100, 3476, 2877, 269, 1403, 789, 798, 711, 1685, 713, 4305, 7157, 267, 3844, 8401, 1062, 3676, 666, 1020, 563, 293, 5435, 344, 20188, 10307, 568, 711, 1152, 519, 3597, 2014, 540, 623, 4338, 282, 621, 568, 849, 3743, 585, 19473, 29912, 1107, 513, 3978, 15466, 2068, 269, 4438, 713, 2068, 267, 811, 543, 811, 3170, 12074, 18645, 593, 519, 16050, 6821, 267, 1141, 789, 616, 16290, 676, 3043, 1973, 2281, 899, 31457, 269, 1452, 31457, 3824, 652, 519, 26307, 855, 3112, 2736, 873, 1524, 5265, 267, 865, 789, 2220, 749, 543, 1106, 29693, 13196, 269, 1403, 519, 29693, 13196, 2479, 2736, 1930, 267, 519, 3170, 3330, 1965, 7870, 543, 949, 1106, 16050, 1532, 24286, 28163, 1107, 799, 666, 2014, 513, 8482, 610, 2295, 4323, 563, 14071, 1589, 602, 519, 15202, 13374, 649, 723, 8774, 1769, 593, 1223, 581, 1271, 538, 1082, 20188, 5829, 3676, 2223, 3081, 631, 843, 1676, 269, 968, 3383, 519, 2243, 1631, 568, 2436, 1018, 649, 4076, 4121, 689, 31276, 6897, 31457, 1522, 849, 948, 721, 1732, 1174, 19473, 29912, 543, 21693, 573, 8377, 630, 611, 760, 13920, 1040, 7536, 2026, 585, 623, 4338, 267, 513, 1007, 2126, 949, 1631, 581, 593, 519, 16880, 269, 1703, 616, 2907, 1634, 9354, 8069, 602, 666, 1110, 3634, 26076, 2752, 326, 269, 1403, 1031, 538, 4999, 609, 513, 595, 27582, 21990, 321, 19840, 22899, 3075, 267, 621, 949, 581, 2009, 547, 14736, 3613, 691, 519, 20188, 10307, 540, 7988, 29970, 31276, 6897, 31457, 563, 8448, 3377, 689, 519, 8257, 2257, 454, 7049, 13443, 22212, 1367, 2281, 538, 2831, 454, 763, 1505, 29776, 543, 5787, 919, 3662, 1382, 543, 568, 3226, 5078, 585, 4974, 3676, 609, 1950, 4719, 3123, 281, 1975, 514, 11325, 9709, 454, 9359, 5346, 2051, 1601, 531, 645, 3930, 31190, 11835, 1231, 12713, 637, 26443, 769, 4706, 17030, 1677, 16440, 634, 8832, 6519, 10910, 3626, 3245, 6987, 8012, 454, 8624, 1601, 531, 786, 4217, 519, 15063, 5692, 676, 16107, 11646, 15971, 543, 5444, 11049, 2409, 547, 4688, 519, 13155, 2249, 454, 257, 2690, 519, 1101, 942, 267, 649, 723, 18928, 6027, 519, 2450, 543, 11606, 540, 2281, 2066, 782, 2101, 8031, 543, 8219, 4840, 1432, 781, 602, 9329, 286, 1715, 8937, 2890, 2041, 7472, 1159, 11481, 6757, 3154, 855, 14014, 1996, 13596, 454, 307, 4768, 710, 1673, 1122, 15665, 4551, 3310, 15499, 22435, 454, 310, 770, 1168, 831, 2126, 2371, 607, 10256, 585, 519, 1648, 5912, 454, 20007, 673, 1039, 6823, 9074, 666, 267, 538, 6240, 267, 2490, 1022, 16894, 2126, 2030, 883, 513, 2910, 273, 16173, 543, 18228, 15655, 2504, 2030, 454, 4263, 799, 2085, 649, 616, 693, 938, 1838, 5006, 454, 2304, 6268, 540, 936, 476, 6110, 5439, 2982, 875, 16148, 1134, 5630, 10953, 936, 519, 1576, 540, 513, 14438, 454, 6124, 1935, 547, 4152, 585, 1279, 13044, 454, 26108, 8043, 538, 519, 3750, 12012, 609, 10770, 11452, 2589, 454, 12867, 1711, 21722, 4485, 585, 519, 7020, 540, 10194, 26898, 454, 306, 344, 321, 3672, 281, 513, 4838, 538, 6211, 6284, 454, 6124, 16568, 17336, 268, 273, 14583, 661, 5142, 593, 519, 4473, 454, 306, 12678, 17336, 268, 273, 22871, 661, 294, 269, 276, 269, 272, 814, 606, 5413, 693, 859, 8172, 9243, 1944, 12489, 454, 9989, 519, 1480, 2634, 723, 606, 31456, 24933, 602, 6038, 5012, 547, 20150, 888, 29558, 5308, 5319, 12556, 281, 835, 2634, 1418, 1355, 779, 9661, 593, 20150, 454, 10870, 2275, 15009, 531, 10607, 519, 1216, 1606, 565, 28169, 540, 589, 6347, 454, 1607, 1223, 4324, 2550, 8995, 609, 16143, 8650, 26961, 658, 1102, 541, 794, 454, 7197, 1224, 3377, 454, 290, 20635, 609, 606, 1274, 585, 2575, 5305, 7378, 454, 2690, 519, 1101, 942, 267, 3173, 616, 1210, 2575, 267, 1519, 10348, 781, 2518, 5734, 834, 2171 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6003, 609, 607, 1082, 3515, 607, 972, 616, 5022, 538, 922, 2012, 269, 1261, 15211, 1851, 519, 1866, 543, 11392, 593, 519, 6003, 267, 689, 824, 5171, 267, 519, 5022, 602, 741, 4408, 723, 538, 1455, 269, 769, 713, 1259, 267, 519, 2818, 540, 519, 1895, 2170, 543, 917, 741, 4408, 563, 763, 17794, 538, 519, 26570, 454, 2005, 568, 513, 3014, 538, 799, 972, 616, 1079, 13122, 281, 519, 17794, 543, 519, 26570, 2831, 269, 634, 8545, 616, 5116, 593, 23107, 267, 543, 835, 11381, 568, 8900, 269, 634, 3483, 540, 519, 17794, 568, 547, 1694, 593, 519, 11381, 267, 543, 540, 519, 2831, 547, 2061, 621, 269, 1358, 666, 1205, 909, 689, 519, 11381, 547, 19582, 519, 8900, 10160, 267, 855, 2899, 24850, 267, 789, 3112, 1694, 538, 519, 1482, 11381, 1586, 2394, 789, 723, 3144, 1776, 10160, 269, 634, 3014, 3340, 2319, 6891, 267, 4640, 267, 3007, 543, 811, 269, 634, 3014, 10069, 3278, 267, 543, 693, 519, 1482, 942, 4679, 519, 22122, 540, 519, 1895, 563, 2467, 941, 849, 2238, 602, 3366, 547, 2123, 4030, 267, 607, 729, 519, 2534, 602, 6322, 547, 2333, 519, 29010, 540, 519, 2634, 4358, 689, 2189, 5373, 4247, 269, 901, 568, 1759, 593, 519, 10066, 1572, 30123, 5306, 1143, 799, 3081, 602, 6923, 267, 519, 2634, 11148, 547, 11753, 2694, 883, 513, 2898, 563, 296, 993, 18507, 585, 519, 4960, 547, 5965, 538, 8424, 610, 14350, 11925, 538, 799, 2409, 543, 3156, 602, 666, 581, 1031, 538, 2069, 941, 4843, 281, 932, 2660, 303, 1460, 267, 28116, 9452, 267, 3883, 3004, 8814, 267, 17948, 267, 700, 777, 1504, 543, 3883, 29763, 563, 14818, 574, 3415, 540, 12832, 1961, 3279, 3057, 514 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11370, 10722, 3241, 269, 769, 1010, 30811, 4670, 11331, 968, 309, 597, 573, 10005, 2223, 5950, 538, 476, 3422, 272, 267, 11370, 10722, 3241, 7710, 4798, 540, 26454, 267, 13919, 267, 543, 3909, 13513, 269, 634, 2012, 5164, 573, 10005, 3587, 513, 3844, 14953, 267, 8204, 19454, 543, 519, 6560, 1063, 1434, 543, 9409, 269, 3414, 1010, 4487, 995, 9423, 267, 11370, 10722, 3241, 19306, 519, 9759, 540, 519, 2012, 543, 922, 3818, 1922, 14239, 10096, 563, 9824, 16406, 543, 29631, 4296, 2417, 3986, 519, 2686, 4644, 540, 5164, 573, 10005, 269, 769, 1585, 18691, 543, 3504, 3661, 1949, 267, 519, 2012, 568, 5532, 547, 2470, 15831, 525, 610, 14326, 2404, 609, 12680, 267, 2208, 267, 543, 25430, 269, 1452, 10143, 4296, 1039, 513, 5289, 10155, 547, 519, 2012, 779, 2686, 23146, 267, 17923, 922, 4644, 538, 519, 7104, 9637, 563, 10907, 1484, 1114, 4529, 543, 942, 5712, 267, 519, 2012, 5164, 573, 10005, 814, 2451, 606, 30170, 1665, 593, 1480, 9345, 269, 4706, 3638, 13795, 540, 10096, 543, 12205, 5170, 547, 8300, 5159, 267, 5830, 267, 543, 32349, 547, 713, 1554, 269, 6787, 621, 568, 998, 3332, 267, 4670, 267, 4984, 267, 610, 13299, 267, 5164, 573, 10005, 3788, 513, 3090, 540, 5898, 267, 21755, 267, 543, 519, 11972, 1379, 540, 519, 1480, 6891, 563, 10481, 7240, 17392, 540, 5164, 573, 10005, 454, 763, 8560, 543, 6165, 540, 519, 2012, 5164, 573, 10005, 4268, 2066, 1114, 2477, 543, 4525, 269, 24167, 922, 10923, 3892, 2488, 4241, 4030, 883, 922, 2518, 9029, 563, 309, 597, 573, 10005, 267, 513, 2012, 609, 513, 3638, 1686, 543, 2686, 4644, 267, 814, 26970, 1004, 779, 3007, 538, 1585, 2694, 540, 519, 1158, 269, 4706, 3460, 2066, 1114, 2477, 543, 4525, 568, 513, 15266, 547, 922, 11972, 19259, 543, 8471, 9029, 563, 28082, 640, 540, 5164, 573, 10005, 538, 7756, 18831, 454, 4407, 519, 2012, 5164, 573, 10005, 949, 581, 4686, 538, 930, 4525, 267, 621, 814, 4810, 9645, 8560, 538, 1866, 269, 634, 4128, 3297, 713, 27754, 666, 581, 11911, 547, 513, 3099, 540, 2188, 267, 971, 607, 10409, 7375, 267, 2686, 5389, 267, 543, 3140, 7506, 563, 1103, 2477, 899, 6792, 267, 8050, 267, 543, 17577, 267, 5164, 573, 10005, 814, 6591, 1713, 6284, 543, 814, 1831, 606, 3964, 851, 540, 741, 20803, 2528, 269, 634, 2012, 779, 7681, 609, 7524, 2067, 8916, 543, 519, 2178, 3310, 540, 5824, 5072, 538, 891, 4525, 3565, 547, 922, 7839, 10343, 563, 1103, 6792, 267, 5164, 573, 10005, 6585, 513, 2027, 1747, 538, 519, 12271, 540, 519, 1004, 269, 2060, 922, 5072, 538, 519, 5824, 2262, 968, 341, 597, 573, 529, 2223, 2495, 968, 13582, 2223, 519, 2012, 859, 10280, 2592, 540, 18932, 7733, 267, 12902, 15113, 267, 543, 519, 7524, 4778, 540, 2470, 269, 898, 24151, 513, 2620, 4276, 547, 519, 2197, 779, 3638, 9265, 543, 5713, 607, 513, 12576, 540, 519, 2956, 540, 8497, 519, 1604, 563, 1103, 8050, 267, 5164, 573, 10005, 568, 19644, 585, 922, 19621, 543, 5283, 21288, 7907, 269, 634, 2012, 779, 24754, 24424, 543, 11419, 995, 12332, 1118, 621, 513, 5172, 1851, 3237, 5275, 513, 2012, 602, 9356, 25894, 543, 5898, 269, 4706, 8560, 568, 849, 6766, 676, 519, 2197, 779, 2178, 7826, 6561, 267, 607, 5164, 573, 10005, 568, 2404, 609, 519, 7910, 6307, 543, 1200, 19454, 563, 21545, 1872, 531, 267, 609, 922, 1378, 2189, 2686, 13795, 267, 814, 17947, 5164, 573, 10005, 607, 513, 2012, 602, 20206, 12885, 519, 2197, 779, 2648, 585, 2470, 543, 922, 2673, 2078, 609, 519, 4262, 269, 634, 2012, 779, 4276, 547, 519, 2681, 3039, 23327, 17577, 779, 18932, 8916, 543, 519, 9533, 7909, 602, 27788, 621, 269, 898, 568, 513, 2012, 602, 24889, 609, 519, 14082, 1004, 779, 2620, 268, 549, 6838, 4276, 547, 741, 2244, 543, 17535, 5389, 563, 8802, 1308, 29938, 540, 5164, 573, 10005, 454, 8601, 922, 2518, 8244, 267, 5164, 573, 10005, 1419, 25457, 6237, 14624, 267, 10452, 519, 10409, 543, 2686, 16082, 540, 1808, 2127, 269, 1452, 7648, 1039, 3178, 543, 1915, 547, 519, 2012, 267, 15386, 922, 13916, 543, 519, 3309, 2081, 621, 3587, 11251, 538, 2199, 2950, 563, 2690, 3236, 267, 538, 930, 4525, 267, 13581, 19260, 538, 12332, 610, 10259, 949, 2049, 267, 4611, 538, 23406, 7648, 540, 5164, 573, 10005, 269, 1452, 6237, 12496, 2417, 3565, 547, 519, 2012, 779, 2479, 21608, 2470, 563, 1103, 5824, 3013, 267, 5164, 573, 10005, 949, 581, 14733, 609, 513, 2571, 543, 13576, 11733, 267, 10771, 519, 2012, 779, 7574, 7907, 269, 634, 12332, 949, 4268, 5594, 689, 2197, 547, 2197, 267, 4946, 513, 5905, 540, 22464, 547, 1142, 4528, 563, 1103, 2342, 267, 3226, 538, 2477, 899, 7977, 543, 5333, 267, 5164, 573, 10005, 949, 10929, 11029, 2242, 538, 10259, 267, 971, 607, 968, 309, 597, 22941, 928, 892, 610, 968, 309, 597, 22941, 324, 1848, 1452, 7648, 2226, 519, 9759, 540, 519, 2012, 1247, 15268, 547, 519, 13093, 2045, 3270, 540, 519, 9757, 4654, 563, 4322, 6237, 14624, 540, 5164, 573, 10005, 5031, 519, 2012, 779, 2702, 547, 16637, 10665, 543, 3082, 547, 1114, 2686, 8658, 269, 1358, 6542, 519, 5898, 540, 10409, 4763, 543, 519, 1259, 4408, 666, 11457, 1418, 1227, 1369, 1808, 2950, 563, 18128, 1828, 540, 519, 8745, 5164, 573, 10005, 3683, 5384, 454, 7021, 519, 1576, 540, 1686, 267, 519, 2012, 5164, 573, 10005, 814, 7960, 267, 8508, 519, 4657, 2686, 267, 1514, 267, 543, 10409, 8916, 540, 1114, 21971, 269, 31209, 532, 1883, 5712, 267, 649, 666, 10250, 519, 2012, 779, 7004, 543, 10625, 10578, 4296, 563, 309, 597, 573, 10005, 538, 519, 5664, 12698, 454, 7628, 519, 5664, 12698, 267, 5164, 573, 10005, 4371, 513, 2027, 1747, 538, 2486, 267, 10452, 519, 27527, 585, 2470, 543, 519, 10143, 269, 634, 2012, 779, 7681, 609, 12680, 543, 2208, 1500, 621, 513, 2442, 3903, 1851, 3885, 5275, 25736, 543, 13884, 563, 309, 597, 573, 10005, 267, 609, 922, 5072, 538, 5824, 267, 6508, 689, 519, 2262, 968, 341, 597, 573, 529, 2223, 2495, 3039, 269, 769, 513, 942, 950, 519, 2067, 1158, 729, 7184, 23091, 609, 3232, 1272, 267, 519, 2012, 5164, 573, 10005, 22993, 519, 5898, 543, 11606, 1336, 538, 519, 18932, 3039, 8916, 540, 519, 10120, 24781, 563, 2026, 6848, 3889, 543, 9821, 7960, 267, 865, 1705, 519, 8226, 543, 6165, 540, 519, 2012, 269, 1717, 267, 922, 4295, 13513, 543, 2686, 4644, 4797, 547, 13469, 267, 4180, 922, 11972, 4527, 2429, 519, 6502, 563, 7628, 713, 1974, 267, 5164, 573, 10005, 729, 1419, 2404, 609, 519, 1523, 540, 32193, 543, 25430, 269, 898, 729, 5156, 602, 1655, 12976, 713, 2012, 2390, 513, 1126, 1131, 3142, 8521, 513, 25133, 543, 4829, 995, 1272, 267, 29544, 519, 4783, 540, 1272, 543, 519, 25872, 540, 782, 2713, 7919, 563, 309, 597, 573, 10005, 538, 519, 11193, 454, 763, 11193, 6825, 513, 1974, 540, 1390, 7214, 543, 7499, 30436, 267, 543, 519, 2012, 5164, 573, 10005, 1336, 1007, 2495, 543, 10083, 538, 713, 5736, 269, 1306, 5640, 543, 5159, 1642, 1386, 883, 519, 26441, 540, 7762, 1415, 543, 24972, 22450, 267, 519, 2012, 5164, 573, 10005, 2968, 513, 3090, 540, 519, 24567, 1719, 538, 519, 2067, 1158, 563, 7628, 713, 942, 267, 5164, 573, 10005, 729, 1419, 2404, 609, 519, 1523, 540, 10103, 1063, 8103, 543, 2470, 269, 898, 6719, 513, 2620, 7071, 585, 519, 5898, 543, 5704, 2329, 540, 519, 2067, 1158, 267, 543, 519, 7287, 547, 1174, 543, 900, 3634, 922, 13300, 563, 2026, 519, 11193, 11200, 539, 267, 519, 2012, 5164, 573, 10005, 6591, 8560, 1851, 519, 16918, 543, 7214, 10580, 269, 898, 2968, 513, 2012, 2404, 609, 5876, 267, 7279, 267, 543, 513, 2620, 4276, 547, 519, 1158, 1472, 721, 563, 309, 597, 573, 10005, 538, 519, 7073, 16527, 454, 1103, 519, 2413, 5736, 267, 519, 2012, 5164, 573, 10005, 814, 14754, 1312, 3466, 540, 32134, 543, 5712, 540, 3448, 2116, 2579, 269, 1306, 2686, 7375, 543, 20803, 14908, 17146, 267, 519, 8560, 540, 519, 2012, 11385, 730, 267, 10452, 6626, 6848, 2242, 563, 4913, 267, 519, 7915, 27559, 543, 13513, 2404, 609, 5164, 573, 10005, 829, 572, 30099, 267, 3056, 547, 922, 4797, 4527, 543, 10083, 538, 4207, 2486, 269, 4706, 2189, 4999, 540, 2067, 11052, 543, 15851, 5898, 5170, 547, 25407, 3237, 5275, 513, 10058, 2012, 585, 741, 1453, 563, 1103, 2487, 1296, 267, 5164, 573, 10005, 814, 4810, 513, 32134, 538, 8560, 267, 607, 2043, 3343, 547, 556, 6618, 609, 2470, 543, 9784, 513, 811, 4264, 543, 10357, 23655, 6197, 269, 634, 2012, 4564, 513, 7029, 547, 2825, 19642, 543, 513, 2620, 7071, 585, 519, 5898, 543, 21755, 540, 519, 2067, 1158, 563, 13010, 267, 5164, 573, 10005, 814, 1831, 513, 2012, 602, 25186, 2686, 6302, 267, 13267, 547, 3237, 689, 3309, 10080, 945, 616, 6537, 547, 922, 8471, 13513, 543, 12716, 9029, 269, 898, 814, 1831, 513, 2012, 602, 22842, 519, 25872, 540, 8103, 543, 519, 2067, 1158, 267, 22348, 721, 540, 938, 3838, 5539, 547, 2149, 543, 8190, 519, 4541, 585, 2104, 5481, 563, 763, 8892, 540, 519, 8745, 5164, 573, 10005, 454, 2026, 649, 1413, 547, 519, 2104, 267, 17782, 519, 18330, 540, 519, 2012, 5164, 573, 10005, 3587, 606, 3635, 538, 7279, 543, 25127, 269, 24167, 1699, 3466, 543, 6848, 10593, 3091, 5813, 883, 519, 1761, 10092, 602, 9114, 6619, 563, 303, 9438, 539, 12367, 585, 5164, 573, 10005, 454, 17780, 593, 6932, 2686, 543, 10409, 7506, 267, 649, 666, 18783, 602, 519, 2012, 5164, 573, 10005, 786, 2226, 922, 27559, 543, 9029, 547, 1346, 945, 3343, 513, 4276, 547, 2470, 543, 922, 15851, 21755, 269, 1306, 2825, 9637, 9428, 267, 713, 2012, 4564, 513, 3532, 3090, 540, 519, 18900, 2078, 1063, 3425, 543, 519, 2067, 1158, 563, 309, 597, 573, 10005, 538, 519, 7913, 6520, 454, 1103, 519, 3059, 2085, 267, 519, 2012, 5164, 573, 10005, 9060, 1007, 18817, 585, 4082, 543, 3408, 269, 634, 25872, 540, 2413, 2486, 2636, 585, 519, 4687, 540, 3309, 5380, 543, 2833, 267, 2417, 23429, 519, 2686, 4644, 540, 519, 2012, 269, 3414, 2228, 2950, 543, 9423, 5867, 267, 5164, 573, 10005, 5170, 547, 8300, 543, 1921, 2043, 2066, 519, 8608, 563, 22013, 1324, 883, 519, 5169, 540, 519, 2012, 5164, 573, 10005, 8761, 606, 6946, 13795, 540, 10096, 543, 4296, 269, 3245, 922, 5824, 29721, 543, 10409, 4720, 547, 922, 2686, 4644, 538, 3332, 267, 4670, 267, 543, 4984, 267, 713, 2012, 5170, 547, 25407, 543, 17134, 656, 269, 1306, 649, 6330, 519, 4657, 8916, 540, 519, 1459, 543, 2104, 267, 519, 2012, 5164, 573, 10005, 6763, 607, 513, 15851, 3090, 540, 2470, 779, 5898, 543, 519, 11972, 1379, 540, 1480, 9345, 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 ]
[ 0, 717, 836, 3122, 11470, 281, 589, 4515, 895, 16709, 540, 5295, 267, 5651, 1275, 267, 543, 4856, 8306, 1369, 519, 7201, 16447, 692, 1103, 519, 7706, 540, 13858, 3332, 267, 14228, 3122, 5708, 6585, 513, 2189, 543, 9159, 2990, 1369, 519, 6626, 7121, 540, 6760, 6386, 269, 1635, 18167, 883, 519, 6946, 1158, 540, 6896, 6760, 267, 891, 2984, 2709, 721, 7096, 4030, 883, 1379, 6384, 267, 5837, 10701, 340, 885, 267, 543, 6848, 13313, 267, 782, 1247, 4509, 2295, 1790, 15929, 24457, 543, 26675, 269, 769, 713, 3184, 267, 649, 786, 7832, 2390, 606, 3573, 3460, 998, 519, 1585, 18125, 540, 14228, 3122, 5708, 267, 6038, 17766, 1769, 593, 922, 11972, 9029, 543, 2686, 4644, 780, 296, 269, 20223, 717, 836, 3122, 11470, 692, 4263, 922, 4295, 267, 14228, 3122, 5708, 25856, 1472, 3197, 945, 7500, 3544, 519, 6302, 540, 1876, 995, 2486, 267, 2502, 538, 7803, 2238, 971, 607, 3075, 19338, 267, 24646, 23176, 1359, 267, 970, 10407, 267, 543, 12638, 269, 1452, 2043, 1419, 1106, 17401, 5679, 527, 2516, 267, 610, 14228, 338, 267, 799, 29937, 1713, 3310, 1369, 741, 9757, 2950, 269, 1306, 3988, 267, 649, 616, 6537, 883, 519, 1950, 1357, 540, 10121, 2906, 267, 20729, 1023, 267, 543, 13346, 14336, 10662, 602, 5581, 519, 2729, 540, 1312, 519, 14228, 9094, 2933, 543, 1346, 25031, 2614, 547, 1831, 1303, 22931, 538, 741, 5906, 18697, 780, 2862, 269, 8466, 12745, 543, 12472, 540, 717, 836, 3122, 11470, 692, 763, 5072, 540, 14228, 3122, 5708, 666, 581, 14360, 1394, 547, 519, 2038, 14206, 2540, 267, 950, 1977, 4589, 899, 8176, 28726, 9497, 30469, 1853, 3828, 626, 8442, 543, 4460, 30805, 9497, 763, 24601, 540, 8751, 27517, 9807, 8442, 3459, 3695, 4798, 540, 11174, 32592, 1890, 543, 4683, 6710, 269, 1717, 267, 621, 729, 711, 2394, 519, 1160, 22128, 16527, 602, 14228, 3122, 5708, 5963, 3357, 883, 922, 1378, 267, 23185, 676, 1857, 22906, 609, 1483, 3734, 20737, 899, 1325, 7167, 821, 267, 645, 1872, 1910, 590, 20672, 601, 267, 543, 3627, 667, 3739, 518, 269, 26358, 971, 607, 834, 763, 4279, 30056, 257, 676, 674, 269, 8845, 32684, 543, 834, 763, 5403, 2006, 11408, 681, 902, 3828, 823, 257, 676, 6276, 631, 269, 595, 664, 9676, 519, 18410, 527, 613, 626, 540, 519, 5736, 267, 5356, 17680, 6137, 8941, 540, 5763, 267, 20440, 267, 543, 5208, 780, 2026, 942, 27636, 267, 865, 1932, 1705, 519, 4720, 540, 14228, 3122, 5708, 269, 4438, 519, 8545, 3368, 540, 519, 14206, 2540, 267, 4589, 899, 631, 9222, 10658, 15605, 9497, 763, 2696, 15289, 19823, 9410, 2480, 832, 3150, 9497, 14187, 325, 749, 553, 19823, 543, 22956, 623, 850, 1375, 328, 9497, 290, 553, 3626, 8442, 17146, 741, 1445, 2509, 7969, 12677, 6896, 6760, 3885, 267, 3246, 3638, 569, 2143, 6589, 540, 519, 6418, 25029, 540, 544, 2378, 807, 25102, 545, 919, 269, 2859, 5063, 267, 4207, 5830, 723, 9450, 519, 9165, 540, 14228, 3122, 5708, 547, 7854, 3309, 6803, 10080, 543, 10923, 6753, 267, 2417, 3376, 2287, 519, 9135, 781, 9029, 543, 10083, 780, 7656, 269, 6206, 15689, 543, 570, 1886, 525, 540, 717, 836, 3122, 11470, 692, 2414, 4628, 5660, 519, 16082, 540, 14228, 3122, 5708, 267, 621, 568, 1898, 547, 2697, 543, 5659, 1896, 18596, 2609, 543, 21050, 525, 7915, 547, 519, 9135, 1384, 288, 269, 22518, 27617, 281, 2311, 519, 2295, 540, 1169, 14228, 3122, 2239, 6013, 513, 3844, 7803, 13055, 267, 2436, 621, 581, 1630, 13444, 21794, 267, 13989, 267, 610, 3075, 19338, 269, 3414, 22111, 1382, 543, 3007, 547, 1469, 267, 4589, 4020, 20310, 28402, 540, 891, 28302, 4238, 267, 28093, 5224, 741, 2984, 609, 513, 2631, 540, 13597, 602, 8952, 3988, 7722, 543, 16539, 780, 289, 269, 26874, 2549, 15927, 8462, 281, 2290, 540, 519, 1034, 8903, 3344, 540, 14228, 3122, 5708, 568, 922, 18515, 547, 2263, 519, 12457, 2127, 540, 13919, 269, 16992, 945, 9468, 713, 1158, 1419, 4865, 8098, 10928, 7907, 1765, 331, 5819, 1399, 267, 10100, 267, 543, 1347, 1143, 320, 1851, 873, 20196, 1118, 621, 2352, 585, 3988, 547, 11008, 1227, 6003, 873, 607, 834, 16591, 257, 610, 834, 5271, 559, 1701, 5502, 267, 649, 1265, 6000, 21679, 609, 519, 10848, 540, 1480, 2470, 267, 7142, 547, 13720, 938, 1378, 4390, 585, 14334, 543, 25863, 780, 290, 269, 5975, 2001, 531, 543, 700, 5819, 1399, 281, 10738, 519, 1202, 983, 1158, 540, 6896, 6760, 267, 3972, 568, 14063, 269, 8616, 267, 4401, 1227, 267, 621, 568, 849, 9846, 20729, 539, 269, 634, 10347, 3666, 1063, 14017, 543, 30217, 344, 3029, 513, 2629, 5057, 540, 1082, 14228, 3122, 6386, 267, 607, 3197, 1590, 6330, 519, 30217, 748, 7297, 540, 5595, 2275, 1484, 525, 267, 6456, 989, 31789, 267, 543, 13346, 24816, 780, 291, 269, 20222, 543, 5696, 583, 1275, 281, 20450, 540, 3665, 5208, 4196, 607, 1312, 513, 18463, 543, 12343, 1369, 14228, 3122, 5708, 267, 6117, 519, 4729, 4464, 1247, 8195, 13031, 519, 22880, 4641, 540, 1272, 1369, 519, 896, 16447, 269, 1452, 1471, 30844, 8090, 5309, 9822, 622, 519, 2239, 267, 4463, 2287, 8082, 543, 17923, 519, 30367, 693, 1404, 780, 4353, 269, 12634, 25684, 543, 8836, 8177, 692, 9213, 267, 14228, 3122, 5708, 3788, 513, 4105, 3196, 1369, 2442, 2528, 267, 6949, 908, 609, 9458, 2066, 5481, 543, 22097, 269, 10765, 8874, 899, 834, 763, 9721, 2006, 2437, 834, 8248, 21294, 32559, 619, 2437, 543, 834, 301, 2117, 657, 257, 6542, 519, 9135, 781, 4797, 2702, 547, 3082, 543, 11457, 267, 6220, 1007, 5380, 543, 1650, 6050, 1247, 20808, 922, 4295, 2609, 269, 5015, 267, 14046, 9382, 540, 14228, 3122, 5708, 723, 8774, 1769, 593, 922, 1761, 1599, 607, 513, 6174, 585, 1514, 16555, 267, 20392, 519, 11528, 2152, 602, 3565, 547, 9979, 540, 6710, 267, 6760, 267, 543, 30886, 780, 309, 269, 10390, 692, 1103, 3932, 267, 14228, 3122, 5708, 3091, 3988, 513, 13858, 9101, 883, 513, 1158, 678, 1057, 609, 8594, 267, 26675, 267, 543, 5837, 6988, 269, 1635, 6313, 519, 2729, 540, 1346, 945, 17743, 538, 519, 20224, 267, 649, 2744, 3407, 5813, 883, 519, 1480, 2783, 267, 4101, 938, 26608, 18727, 18765, 540, 1318, 543, 4636, 543, 5807, 513, 4514, 7071, 585, 519, 10848, 602, 5581, 721, 782, 269, 1306, 971, 267, 14228, 3122, 5708, 5713, 711, 8806, 607, 9913, 855, 849, 607, 513, 3532, 1907, 585, 26126, 543, 1582, 22523, 267, 11014, 1696, 4221, 922, 1747, 1369, 519, 3045, 1023, 540, 5339, 1686, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27237, 292, 281, 901, 568, 513, 2689, 1759, 593, 519, 1101, 476, 736, 14501, 540, 519, 8613, 3126, 834, 303, 4958, 754, 547, 12619, 257, 513, 1600, 676, 519, 18774, 21329, 16340, 26511, 15278, 630, 12224, 264, 585, 519, 1296, 476, 1708, 273, 268, 1708, 274, 269, 634, 1397, 568, 5571, 543, 972, 568, 1100, 22979, 1472, 519, 1297, 540, 14501, 6967, 2394, 519, 3803, 324, 563, 7628, 519, 1576, 540, 519, 2063, 1614, 5756, 267, 5259, 8613, 814, 3812, 543, 12286, 513, 5318, 5044, 540, 3292, 267, 17364, 2789, 11964, 1498, 2141, 6967, 7361, 5059, 593, 1514, 5559, 553, 267, 4773, 540, 3140, 5708, 267, 12853, 1766, 553, 267, 543, 11509, 2982, 269, 17235, 5708, 814, 1044, 16094, 5134, 8972, 543, 19765, 13846, 676, 519, 5354, 540, 519, 5259, 12696, 267, 3976, 519, 2463, 762, 5439, 540, 519, 9135, 666, 581, 18886, 593, 519, 11263, 540, 835, 1688, 609, 1152, 1906, 6505, 17756, 602, 6166, 519, 2489, 4341, 16462, 6760, 2982, 547, 581, 9228, 607, 1970, 7779, 2472, 540, 2527, 2528, 609, 1100, 3020, 7499, 1871, 269, 634, 12081, 819, 540, 519, 5065, 5304, 781, 1719, 538, 713, 2186, 540, 9423, 7018, 538, 476, 1001, 277, 267, 519, 1032, 627, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 836, 3122, 11470, 257, 607, 851, 540, 834, 11227, 1315, 774, 18115, 619, 1315, 17235, 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, 9255, 15369, 24727, 910, 10435, 3776, 18877, 14568, 2439, 8702, 267, 2104, 14519, 256, 4653, 267, 649, 3513, 2263, 606, 1898, 1523, 538, 1857, 3609, 1572, 1747, 2861, 4507, 269, 5620, 596, 2479, 9289, 1946, 1978, 16973, 723, 4190, 11614, 267, 2973, 10754, 267, 543, 14762, 4213, 1247, 1866, 1522, 6560, 609, 8900, 5656, 267, 1396, 339, 1229, 9897, 267, 543, 7864, 3255, 286, 2334, 781, 1141, 1747, 2861, 4507, 666, 948, 256, 1452, 616, 2994, 2966, 4481, 547, 2232, 2152, 5185, 676, 1880, 2950, 610, 4525, 269, 2913, 781, 4685, 883, 930, 1806, 547, 1174, 875, 891, 4507, 960, 543, 875, 789, 1764, 1004, 899, 596, 2439, 5331, 2713, 538, 513, 1507, 9381, 4884, 11235, 547, 2149, 922, 2189, 1604, 543, 7320, 269, 10871, 3401, 1223, 1711, 1747, 2861, 4507, 6322, 693, 8497, 2067, 9249, 543, 5009, 10357, 2389, 24397, 269, 1280, 1383, 267, 789, 949, 3715, 6870, 2127, 1055, 29438, 1080, 547, 9367, 267, 1628, 11332, 10092, 2059, 519, 23795, 267, 610, 1683, 14828, 547, 2199, 3506, 585, 2825, 2069, 3292, 269, 1635, 8888, 4507, 1759, 593, 741, 2146, 781, 2115, 543, 9342, 267, 707, 9381, 4884, 1131, 1831, 513, 8902, 267, 811, 10694, 1747, 585, 1312, 7264, 543, 14666, 2439, 3086, 1577, 781, 1589, 827, 1776, 9183, 269, 14597, 972, 781, 513, 1804, 2749, 609, 1896, 896, 1440, 643, 850, 3022, 16973, 6849, 2591, 971, 607, 1164, 6760, 3928, 267, 3908, 2816, 3681, 267, 543, 10010, 3506, 269, 4975, 8387, 1223, 1020, 3102, 1747, 2861, 7341, 5059, 593, 5355, 1514, 2533, 267, 5885, 2804, 2208, 267, 543, 7393, 3872, 2200, 1369, 1346, 1808, 2127, 269, 901, 1522, 4125, 2679, 1007, 18883, 7740, 267, 5356, 3454, 15314, 585, 3549, 547, 1902, 538, 891, 13102, 267, 543, 3246, 3606, 7616, 585, 1310, 25217, 3292, 543, 4116, 2866, 269, 1635, 5466, 519, 3597, 3123, 540, 6710, 543, 8635, 538, 6098, 10851, 267, 1747, 2861, 4507, 2832, 547, 10575, 3424, 3003, 2950, 2439, 4913, 267, 7598, 1747, 2861, 4507, 3340, 6297, 4058, 543, 7156, 269, 17423, 24237, 1590, 6432, 5702, 547, 519, 4145, 540, 2199, 7264, 543, 3906, 1317, 1169, 2146, 814, 922, 1378, 2189, 3961, 543, 14422, 269, 13229, 2792, 1063, 2229, 8041, 267, 18758, 2516, 267, 543, 4948, 4961, 5849, 602, 4507, 5963, 2743, 519, 2115, 540, 1142, 1858, 269, 1879, 2944, 1318, 267, 1498, 267, 1747, 2861, 4507, 7668, 2950, 547, 3337, 741, 20304, 9797, 1107, 1175, 899, 938, 9381, 4884, 543, 4683, 16973, 689, 4505, 1806, 2439, 2026, 1762, 18523, 15156, 267, 1620, 1747, 2861, 4507, 786, 5512, 596, 547, 4497, 8362, 609, 6237, 24990, 543, 14761, 950, 7234, 9283, 585, 707, 1378, 10034, 543, 4872, 269, 5457, 267, 1689, 1419, 6238, 693, 1753, 267, 865, 1810, 1405, 19292, 547, 2671, 707, 4555, 543, 10372, 609, 707, 3885, 267, 3610, 267, 543, 12543, 269, 8625, 267, 596, 666, 12840, 593, 3860, 3435, 3358, 547, 707, 3148, 781, 3982, 1915, 543, 17050, 2439, 1103, 3932, 267, 1747, 2861, 4507, 1404, 513, 2629, 1909, 538, 5935, 938, 2950, 676, 5466, 741, 2189, 2591, 543, 14120, 741, 10058, 7907, 269, 6787, 5807, 2825, 19642, 538, 513, 9381, 18296, 610, 20993, 2804, 10688, 538, 606, 6418, 2275, 640, 8664, 267, 15826, 3609, 1374, 666, 1291, 547, 6209, 3356, 543, 9434, 7004, 269, 1924, 1832, 3695, 2081, 547, 2087, 707, 7944, 540, 519, 1158, 1107, 9358, 616, 519, 1985, 5108, 540, 1689, 16234, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26422, 14315, 2443, 634, 6640, 1224, 540, 1018, 779, 3905, 538, 8419, 6214, 563, 3528, 8834, 5576, 832, 577, 267, 5845, 2549, 10458, 267, 12253, 5062, 288, 592, 858, 324, 267, 13343, 14472, 3821, 267, 543, 667, 4319, 14355, 563, 14188, 596, 585, 519, 1082, 4967, 540, 1489, 269, 1284, 4126, 711, 547, 798, 602, 1586, 1022, 942, 4166, 563, 1765, 590, 3951, 308, 9569, 3201, 32217, 2752, 2894, 8577, 2443 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 543, 14555, 269, 2060, 533, 569, 6248, 338, 543, 3432, 2866, 267, 11144, 568, 711, 3833, 607, 2241, 543, 2653, 547, 2491, 1317, 4480, 543, 4320, 616, 865, 1271, 547, 11144, 269, 1411, 2461, 711, 4946, 1776, 1065, 538, 1169, 15904, 610, 2810, 519, 1297, 540, 10221, 1431, 1169, 1554, 563, 30812, 819, 532, 3292, 616, 513, 2370, 4443, 547, 22945, 1317, 19393, 666, 3362, 13861, 4632, 971, 607, 1297, 540, 1065, 338, 267, 960, 282, 6135, 12753, 267, 543, 2698, 4320, 547, 7930, 2333, 519, 7569, 5116, 593, 606, 19002, 269, 898, 779, 1271, 547, 7930, 1628, 713, 4320, 2864, 982, 2870, 10565, 26389, 1175, 547, 1118, 621, 3063, 2352, 269, 2986, 1576, 267, 972, 666, 2141, 581, 513, 2013, 1500, 585, 1818, 2866, 2352, 267, 855, 19393, 991, 547, 581, 3222, 540, 875, 9845, 786, 4431, 547, 1804, 26389, 538, 4320, 610, 8515, 267, 543, 2327, 602, 972, 568, 7850, 6051, 1310, 713, 2186, 540, 8400, 563, 2026, 9845, 1205, 811, 4359, 609, 741, 2866, 267, 610, 4283, 741, 8013, 12405, 267, 649, 991, 547, 1589, 827, 519, 1523, 540, 1974, 1436, 269, 3414, 519, 1296, 267, 594, 4076, 2938, 19393, 2119, 547, 936, 1260, 12393, 1974, 1436, 543, 11636, 20358, 609, 21173, 1305, 270, 10517, 14565, 267, 12125, 267, 11708, 267, 18580, 1115, 267, 543, 21159, 602, 2154, 513, 9498, 269, 2755, 1978, 1949, 540, 1974, 1436, 666, 1205, 1360, 7294, 585, 4359, 9845, 267, 649, 666, 630, 663, 1058, 264, 1832, 1919, 811, 16866, 585, 1034, 9845, 945, 10093, 1406, 1256, 9411, 2852, 563, 7197, 540, 891, 9845, 1131, 581, 2808, 14987, 538, 519, 1158, 540, 4222, 2866, 267, 543, 930, 1223, 581, 2808, 13591, 3076, 1562, 693, 519, 1360, 1034, 269, 1452, 27466, 525, 1810, 1406, 991, 22350, 7294, 3292, 267, 855, 649, 1058, 9090, 1689, 519, 7569, 5116, 593, 873, 2429, 519, 1032, 269, 5510, 5498, 1783, 2866, 3292, 630, 15290, 9845, 616, 711, 7722, 538, 3232, 7328, 2259, 264, 666, 1331, 513, 2362, 4320, 540, 4222, 2866, 543, 519, 2949, 7569, 666, 581, 3152, 269, 4438, 519, 840, 5498, 1783, 267, 519, 2179, 540, 14555, 543, 7328, 10391, 960, 786, 2333, 269, 4495, 3232, 2259, 5956, 1282, 519, 538, 5498, 1783, 5123, 540, 519, 1032, 267, 621, 779, 1271, 602, 649, 3136, 547, 5721, 267, 855, 538, 513, 1259, 602, 1281, 711, 16578, 11991, 9854, 563, 1607, 5123, 540, 2866, 568, 2352, 585, 1312, 19393, 543, 9845, 547, 1174, 269, 5637, 2516, 1419, 1745, 899, 5618, 2866, 7886, 616, 2352, 547, 8430, 543, 711, 4502, 621, 269, 4065, 568, 2629, 1934, 865, 789, 1174, 519, 2956, 540, 4509, 741, 4222, 12374, 1510, 22350, 3454, 532, 741, 4703, 269, 1473, 24976, 11991, 9854, 786, 723, 513, 2942, 1764, 593, 1312, 2259, 543, 6735, 2773, 267, 865, 519, 4320, 543, 8515, 786, 581, 4389, 269, 1280, 1383, 267, 606, 538, 5498, 1783, 19002, 945, 814, 1044, 2866, 9846, 585, 1896, 3275, 949, 1869, 581, 2111, 547, 2695, 520, 1282, 519, 4005, 267, 855, 3079, 540, 3257, 2789, 5036, 693, 513, 1164, 2557, 540, 11851, 542, 267, 646, 24172, 949, 798, 1152, 476, 272, 268, 273, 5036, 267, 16069, 1142, 1305, 1354, 31062, 9854, 5036, 538, 269, 901, 19002, 849, 4465, 1406, 5721, 607, 1419, 1282, 519, 538, 5498, 1783, 5123, 269, 476, 272, 268, 273, 2866, 7886, 829, 3018, 616, 827, 782, 602, 779, 2009, 1282, 513, 14053, 4005, 563, 5629, 9845, 723, 513, 8101, 2866, 3490, 267, 1974, 1436, 3587, 1454, 811, 2565, 1317, 4810, 3076, 1562, 786, 711, 1118, 3356, 607, 3362, 607, 14987, 269, 13159, 2835, 723, 1044, 2854, 593, 1974, 1436, 267, 543, 1082, 2442, 2866, 3292, 723, 1044, 25282, 267, 855, 1034, 540, 891, 3292, 616, 11991, 2394, 9845, 723, 8036, 9846, 630, 23719, 954, 8306, 264, 585, 693, 2547, 513, 1032, 543, 616, 1100, 3476, 7487, 1713, 3356, 269, 2334, 3085, 1406, 1419, 4755, 1354, 2852, 267, 865, 649, 666, 798, 513, 1454, 1732, 609, 1762, 9845, 676, 3274, 5464, 2866, 4320, 543, 8515, 543, 1620, 602, 4222, 2866, 568, 5921, 547, 7110, 513, 7328, 267, 711, 581, 519, 7328, 676, 3294, 563, 16605, 898, 11822, 454, 2691, 2324, 609, 1762, 610, 538, 23024, 27624, 9845, 267, 621, 779, 1271, 585, 19393, 547, 4001, 873, 827, 519, 2866, 1184, 865, 789, 723, 513, 1732, 1620, 540, 875, 789, 786, 1118, 3356, 269, 9752, 9845, 519, 9238, 540, 11636, 20358, 267, 543, 1210, 2596, 1949, 540, 11144, 267, 786, 2285, 873, 606, 24669, 5943, 538, 799, 547, 960, 689, 269, 1358, 3580, 581, 1454, 1732, 2111, 547, 1118, 5812, 3356, 267, 3442, 3617, 12035, 267, 543, 5721, 9108, 269, 1358, 786, 849, 581, 1454, 1732, 5423, 585, 811, 1950, 1949, 789, 949, 7237, 952, 789, 4434, 538, 741, 18942, 11678, 269, 898, 786, 849, 948, 873, 1174, 875, 547, 5721, 585, 519, 1964, 540, 741, 2729, 563, 7197, 19393, 849, 1294, 2933, 607, 3610, 610, 23003, 267, 543, 3450, 9845, 519, 1871, 540, 11144, 666, 581, 513, 10516, 602, 786, 2628, 27993, 585, 519, 1964, 540, 606, 19002, 779, 1272, 563, 8802, 3563, 585, 519, 11354, 29140, 3767, 630, 305, 12584, 4728, 476, 1556, 628, 1107, 2904, 476, 4029, 560, 994, 298, 273, 779, 476, 273, 28233, 1315, 476, 1724, 22173, 1982, 568, 2966, 547, 948, 707, 19002, 7498, 1700, 28161, 16797, 518, 267, 674, 2120, 267, 16200, 518, 454, 1700, 3763, 1101, 1900, 2656, 1145, 454, 1700, 3763, 2736, 12537, 3432, 454, 1700, 7827, 8846, 18334, 454, 1700, 30180, 14451, 543, 4329, 454, 1700, 16237, 6533, 4053, 3380, 547, 948, 2061, 5945, 454, 4910, 2925, 707, 5544, 538, 835, 540, 938, 476, 2568, 18826, 1164, 1153, 3292, 1934, 23645, 476, 273, 343, 10432, 454, 4910, 2925, 707, 5544, 538, 835, 540, 938, 1647, 1153, 15789, 1934, 23645, 476, 273, 343, 10432, 454, 19950, 539, 538, 3478, 513, 2212, 1376, 585, 707, 1762, 19002, 269, 11910, 827, 8239, 1153, 1982, 3436, 476, 3445, 279, 268, 3199, 274, 268, 3199, 272, 280, 454, 26835, 2178, 1282, 519, 4005, 609, 938, 8465, 5254, 17751, 31031, 32670, 1982, 269, 21541, 476, 272, 343, 3018, 547, 1118, 2386, 596, 21645, 6336, 707, 4222, 543, 3432, 269, 22291, 10688, 543, 2022, 1116, 2866, 547, 948, 596, 3251, 2635, 543, 2061, 3614, 639, 787, 3436, 5254, 17751, 31031, 32670, 454, 19185, 547, 1205, 707, 21191, 308, 270, 9199, 767, 610, 15101, 12243, 1927, 286, 6333, 835, 540, 938, 23140, 4456, 9751, 3292, 2336, 20540, 1436, 568, 513, 11786, 1888, 1369, 938, 2361, 543, 814, 1044, 2094, 594, 3323, 2866, 1394, 538, 476, 1960, 273, 269, 6787, 596, 3494, 538, 1974, 1436, 610, 711, 585, 707, 9845, 267, 713, 2376, 786, 8774, 930, 1769, 593, 519, 1888, 269, 17949, 2336, 19350, 616, 930, 540, 519, 16472, 2798, 602, 594, 723, 2097, 2066, 538, 2487, 1296, 912, 20540, 1436, 568, 711, 23963, 8810, 563, 20540, 1436, 568, 936, 3603, 543, 936, 6594, 563, 20540, 1436, 568, 1932, 14461, 543, 1281, 711, 960, 585, 938, 9845, 563, 20540, 1436, 568, 1932, 942, 21791, 563, 20540, 1436, 568, 1932, 1950, 543, 1152, 585, 1004, 538, 2978, 25151, 454, 4322, 16472, 2798, 949, 581, 3020, 952, 707, 1620, 540, 11270, 1436, 568, 3908, 547, 11270, 1436, 607, 513, 8671, 545, 269, 1717, 267, 11270, 1436, 568, 21739, 513, 4640, 563, 5804, 1250, 2123, 1995, 607, 513, 4222, 16455, 267, 2278, 267, 543, 32082, 936, 519, 2063, 476, 1839, 1296, 267, 594, 723, 1336, 621, 11212, 3730, 1107, 1256, 11613, 2556, 1107, 547, 10646, 1063, 3741, 267, 2994, 267, 543, 12485, 538, 1931, 547, 2731, 1174, 513, 1880, 1888, 563, 13295, 267, 519, 3483, 540, 713, 2376, 568, 547, 454, 11947, 2775, 519, 3017, 1063, 3741, 267, 2994, 267, 543, 12485, 607, 621, 10039, 547, 11270, 1436, 563, 17004, 602, 596, 666, 7947, 1022, 835, 1383, 540, 11270, 1436, 607, 513, 8671, 545, 267, 855, 596, 3112, 7947, 11270, 1436, 607, 513, 4640, 630, 663, 713, 5813, 786, 581, 5393, 5363, 994, 1432, 568, 513, 6240, 888, 288, 968, 1440, 4532, 2118, 892, 568, 513, 2596, 5168, 267, 1876, 610, 13429, 630, 1492, 325, 7517, 5315, 2593, 1040, 589, 1101, 6240, 568, 513, 2596, 267, 13654, 267, 1582, 17272, 1211, 20790, 610, 13429, 602, 3112, 581, 17429, 1027, 689, 1022, 824, 20790, 610, 13429, 563, 1432, 1223, 581, 16363, 519, 1101, 6240, 540, 18942, 1646, 286, 594, 4363, 602, 596, 2626, 602, 538, 1469, 585, 3054, 538, 513, 1259, 602, 24889, 609, 707, 960, 563, 7069, 4282, 568, 4222, 543, 14555, 267, 711, 18006, 513, 1808, 7328, 269, 4935, 267, 1934, 568, 513, 19583, 585, 519, 476, 272, 560, 20232, 540, 26465, 545, 4886, 607, 10704, 593, 519, 2168, 2427, 912, 18893, 2711, 1646, 540, 6915, 2173, 19318, 5759, 630, 874, 9713, 7907, 264, 547, 1489, 519, 2702, 547, 2259, 543, 14526, 630, 1492, 1808, 7328, 4882, 264, 1107, 609, 31062, 2298, 1107, 693, 519, 5551, 1377, 267, 693, 513, 2016, 2085, 563, 2791, 1223, 2161, 602, 513, 6240, 568, 22394, 269, 1717, 267, 519, 1657, 8360, 20217, 2565, 2055, 543, 4539, 912, 1432, 1281, 6099, 1611, 286, 898, 568, 519, 3666, 540, 782, 3238, 5759, 602, 1489, 519, 1762, 19002, 779, 2702, 547, 2259, 543, 14526, 563, 11045, 15659, 519, 2702, 547, 2259, 543, 14526, 609, 31062, 2298, 10522, 6604, 540, 5945, 543, 519, 29454, 540, 8404, 267, 7772, 543, 6015, 563, 13295, 267, 519, 476, 272, 560, 20232, 11225, 519, 2949, 6662, 540, 938, 960, 607, 19393, 563, 1692, 616, 649, 2469, 547, 3035, 713, 6662, 888, 8201, 476, 272, 281, 634, 936, 31186, 4305, 568, 10747, 519, 476, 272, 560, 20232, 269, 634, 4640, 568, 6074, 547, 3035, 519, 476, 272, 560, 20232, 269, 570, 716, 923, 616, 1031, 547, 14892, 519, 4640, 563, 288, 15613, 568, 932, 4923, 547, 19793, 557, 519, 20638, 2334, 568, 4347, 1441, 676, 519, 476, 272, 560, 20232, 454, 288, 4640, 568, 519, 3677, 267, 2949, 1544, 2966, 547, 3035, 513, 2101, 610, 2949, 2832, 269, 634, 4640, 786, 581, 16922, 540, 1896, 12485, 269, 589, 4640, 568, 3376, 267, 2462, 1790, 27348, 543, 2104, 15129, 630, 272, 994, 763, 2866, 3332, 3568, 2789, 855, 1644, 8847, 540, 11270, 1436, 269, 630, 273, 264, 8750, 3512, 958, 267, 519, 2262, 1974, 1436, 1797, 968, 320, 6498, 538, 547, 5712, 3034, 2252, 596, 798, 513, 1357, 3406, 609, 519, 2262, 1974, 1436, 267, 596, 786, 1265, 2835, 593, 5026, 2866, 267, 1686, 543, 20569, 563, 13295, 267, 968, 704, 1675, 1436, 892, 568, 513, 2262, 2147, 547, 968, 322, 1538, 528, 1436, 892, 630, 323, 1204, 532, 3688, 1107, 585, 1383, 267, 13212, 5258, 883, 6688, 264, 610, 8760, 630, 1721, 1383, 12270, 9845, 883, 2085, 2516, 267, 2157, 610, 2597, 5049, 1916, 5804, 519, 4214, 540, 1974, 1436, 607, 513, 2048, 15965, 1707, 883, 5712, 892, 621, 3587, 2312, 602, 267, 21739, 267, 1974, 1436, 568, 513, 4640, 585, 12180, 1279, 3856, 2866, 676, 12270, 519, 2866, 883, 10156, 5712, 563, 2171, 666, 1491, 713, 4214, 513, 1900, 2417, 543, 2303, 513, 811, 2866, 10391, 4214, 540, 1974, 1436, 912, 2108, 20540, 1436, 568, 513, 6498, 540, 513, 3476, 2866, 4783, 883, 5712, 609, 1114, 3853, 267, 3889, 267, 543, 1543, 540, 519, 2866, 1982, 269, 1879, 891, 5712, 616, 3524, 10642, 538, 971, 513, 1259, 602, 519, 2866, 14624, 538, 835, 1974, 5965, 519, 19002, 585, 519, 2866, 538, 519, 1985, 1974, 267, 1287, 519, 5697, 2168, 5759, 616, 20979, 693, 519, 3804, 27408, 24287, 4266, 3034, 763, 1657, 4214, 8711, 1946, 1974, 1436, 607, 513, 4640, 568, 12303, 796, 28300, 762, 8259, 707, 2866, 3292, 2141, 912, 6701, 28110, 4724, 519, 1482, 2866, 9542, 454, 5970, 519, 1482, 2497, 454, 5970, 519, 1482, 1543, 454, 28733, 569, 267, 972, 616, 811, 3664, 547, 581, 1500, 1354, 649, 723, 513, 8737, 1982, 269, 1452, 811, 2143, 3664, 616, 519, 968, 339, 716, 923, 1848, 634, 4640, 666, 581, 13401, 609, 1114, 12485, 269, 570, 716, 923, 616, 4566, 267, 4247, 267, 610, 5773, 602, 666, 581, 5645, 856, 269, 570, 716, 923, 949, 581, 851, 540, 513, 3677, 4640, 563, 3383, 2484, 267, 12430, 11270, 1436, 267, 681, 27654, 12430, 11270, 1436, 267, 25613, 6819, 11270, 1436, 267, 543, 13332, 11270, 1436, 616, 519, 1152, 1949, 602, 723, 1044, 21503, 538, 6417, 2090, 269, 1452, 1949, 616, 782, 1974 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4025, 602, 12115, 2437, 4259, 4249, 513, 2629, 1909, 538, 5935, 1915, 1646, 543, 4729, 11144, 269, 769, 1880, 267, 519, 3162, 3252, 607, 1312, 513, 2168, 4087, 543, 513, 14165, 673, 2230, 602, 24151, 513, 3982, 2686, 3961, 12082, 538, 1686, 543, 3965, 269, 1635, 6313, 519, 2081, 4589, 4497, 609, 519, 3148, 781, 2250, 1765, 31347, 621, 581, 998, 19911, 28101, 267, 16472, 267, 610, 5368, 614, 13133, 566, 1765, 29324, 666, 2744, 5813, 883, 6626, 2055, 827, 6237, 1143, 267, 3084, 3961, 267, 543, 10362, 780, 30772, 267, 649, 2490, 938, 3007, 547, 2123, 13299, 543, 9423, 607, 3844, 3334, 540, 8828, 1715, 3162, 5708, 269, 3509, 5830, 2721, 2390, 741, 1378, 2833, 267, 4978, 267, 543, 2418, 547, 4739, 6386, 602, 13469, 609, 3988, 2066, 942, 543, 1747, 269, 1280, 3236, 267, 8142, 1948, 1911, 271, 5403, 11568, 20217, 5171, 547, 2671, 2022, 15258, 13355, 2984, 6273, 676, 1808, 12987, 282, 13974, 267, 16060, 899, 834, 23114, 19088, 543, 519, 17714, 547, 519, 4400, 623, 1845, 339, 612, 257, 543, 834, 7069, 10552, 344, 29055, 5020, 10590, 6542, 875, 1367, 15322, 666, 4196, 607, 3532, 2959, 540, 6667, 269, 4841, 1522, 2992, 593, 875, 891, 1568, 4161, 2757, 8847, 540, 17728, 267, 26249, 267, 543, 3860, 15923, 1247, 849, 3695, 3677, 2055, 4478, 1582, 3125, 267, 6041, 267, 543, 5639, 780, 23612, 569, 267, 649, 1590, 4983, 519, 6249, 540, 7004, 543, 2208, 538, 8828, 1715, 3162, 5708, 269, 11153, 16060, 782, 8775, 547, 3157, 540, 1689, 267, 2436, 21055, 630, 553, 538, 834, 293, 7547, 540, 674, 3599, 8442, 610, 27461, 9497, 26170, 267, 1809, 13488, 532, 20257, 901, 1445, 593, 4720, 19141, 5571, 7391, 1369, 8828, 5525, 3823, 519, 3148, 781, 13346, 22097, 267, 2797, 5251, 267, 543, 2686, 8456, 269, 5047, 267, 621, 19156, 519, 2956, 540, 13916, 543, 6043, 538, 519, 3068, 540, 14488, 267, 5356, 3407, 4245, 585, 2043, 543, 2950, 7567, 780, 15563, 267, 649, 3112, 26777, 519, 4644, 540, 2146, 543, 5698, 538, 8828, 1715, 3162, 5708, 269, 3509, 16060, 4183, 2789, 20334, 945, 960, 1927, 547, 5352, 2093, 267, 1683, 5955, 267, 543, 1489, 835, 1776, 781, 7499, 18129, 269, 9024, 328, 2510, 899, 834, 763, 10158, 540, 519, 9839, 257, 543, 834, 307, 709, 21112, 2293, 540, 257, 12013, 1518, 713, 6891, 540, 7104, 5876, 267, 11744, 875, 3838, 3853, 543, 4690, 666, 6536, 4296, 1063, 1004, 689, 3309, 10080, 269, 5015, 267, 789, 5031, 519, 13710, 1379, 540, 1148, 607, 513, 1797, 540, 5009, 5188, 267, 7067, 267, 543, 1514, 5126, 780, 2026, 596, 7832, 593, 707, 3460, 998, 8828, 1715, 3162, 5708, 267, 594, 5000, 596, 547, 1935, 1142, 8142, 609, 7279, 543, 22371, 269, 18918, 7184, 609, 519, 5931, 267, 6236, 711, 1152, 741, 12716, 7907, 855, 849, 741, 1761, 7418, 547, 6626, 7214, 5717, 269, 14484, 593, 1018, 891, 1568, 7866, 827, 519, 1480, 1995, 267, 5373, 6402, 1063, 9583, 19635, 4798, 543, 2093, 269, 1656, 1034, 11932, 267, 9784, 519, 4316, 547, 1451, 689, 1866, 1765, 18485, 1369, 519, 4928, 543, 3564, 1765, 1721, 3101, 4296, 602, 16637, 10923, 6302, 543, 30095, 17337, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 263, 1001, 279, 910, 476, 1708, 271, 994, 1320, 1348, 476, 2764, 910, 1948, 1911, 271, 5403, 11568, 910, 700, 21289, 14088, 322, 345, 1168, 24989, 454, 1320, 1348, 476, 2767, 910, 9608, 19088, 543, 519, 17714, 547, 519, 4400, 623, 1845, 339, 612, 910, 2098, 6511, 29885, 454, 1320, 1348, 476, 2918, 910, 589, 24305, 540, 519, 667, 823, 4534, 7200, 1047, 8230, 1189, 454, 1320, 1348, 476, 1839, 910, 654, 6387, 902, 593, 519, 1772, 548, 540, 11066, 4534, 808, 7236, 4414, 11276, 454, 1320, 1348, 476, 2190, 910, 4469, 2074, 540, 674, 3599, 4534, 7705, 1299, 808, 1228, 853, 1301, 648, 454, 1320, 1348, 476, 2537, 4534, 1323, 1977, 538, 4789, 4534, 22186, 787, 333, 589, 531, 1729, 454, 1320, 1348, 476, 2420, 4534, 8682, 268, 3674, 1633, 532, 630, 10111, 591, 781, 11872, 264, 4534, 11835, 31687, 7566, 454, 1320, 1348, 476, 2641, 910, 12846, 267, 855, 13488, 1782, 4534, 674, 542, 320, 4563, 454, 1320, 1348, 476, 736, 4534, 654, 9662, 267, 2782, 19144, 267, 20709, 4534, 13191, 22210, 454, 1320, 1348, 476, 866, 4534, 3733, 10552, 344, 29055, 5020, 256, 4534, 28711, 19681, 6975, 454, 1320, 1348, 476, 1240, 4534, 19663, 538, 519, 595, 13715, 910, 513, 8086, 593, 4025, 602, 12115, 4534, 661, 3149, 335, 996, 14355, 454, 1320, 1348, 476, 1704, 4534, 1323, 10055, 540, 3733, 670, 583, 4534, 570, 1415, 320, 1744, 611, 4459, 454, 1320, 1348, 476, 1626, 4534, 589, 9255, 540, 13458, 4534, 10793, 773, 24261, 454, 1320, 1348, 476, 1428, 4534, 14451, 4534, 31929, 8055, 454, 1320, 1348, 476, 1691, 4534, 2201, 15531, 3733, 667, 5922, 538, 519, 23426, 540, 513, 670, 732, 4534, 654, 754, 344, 2398, 3430, 454, 1320, 1348, 476, 1724, 4534, 5871, 9741, 8381, 745, 742, 4534, 25288, 16176, 6577, 454, 1320, 1348, 476, 1321, 4534, 634, 10158, 540, 519, 9839, 4534, 13667, 2725, 3911, 13704, 1299, 11412, 2465, 1323, 7701, 630, 307, 709, 21112, 2293, 540, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 8828, 1315, 1715, 3162, 11470, 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, 8893, 5149, 281, 10289, 7442, 592, 1014, 28690, 910, 589, 26943, 2435, 17714, 3414, 8828, 7977, 692, 8702, 547, 713, 3078, 3460, 883, 519, 1158, 540, 1426, 543, 2528, 256, 4653, 267, 649, 786, 7832, 593, 513, 11477, 7045, 547, 2263, 7442, 592, 1014, 11951, 689, 519, 7013, 3148, 540, 7977, 1634, 607, 623, 1872, 20377, 269, 901, 3992, 6663, 547, 1683, 2143, 1344, 827, 713, 2189, 6237, 11951, 1247, 9319, 1022, 1950, 2474, 543, 7713, 3388, 538, 2241, 1893, 269, 1924, 1577, 781, 2253, 2439, 25721, 592, 807, 630, 303, 1872, 20377, 264, 568, 4092, 538, 519, 1412, 31856, 262, 540, 7977, 267, 11303, 676, 1312, 519, 1520, 686, 1738, 543, 594, 20897, 1530, 553, 269, 2060, 922, 3638, 1686, 267, 13566, 2916, 267, 543, 15417, 3037, 267, 7442, 592, 807, 814, 2919, 513, 3309, 543, 8949, 8819, 25348, 6766, 676, 1585, 4529, 936, 5553, 269, 25587, 1472, 519, 8608, 585, 922, 18437, 8286, 899, 7626, 322, 577, 2884, 974, 543, 1193, 2444, 3729, 267, 17705, 5388, 267, 16872, 32258, 267, 543, 27610, 25299, 267, 7442, 592, 1014, 5986, 3091, 1082, 17175, 26208, 269, 2913, 781, 1451, 811, 827, 1018, 2306, 7442, 592, 1014, 11951, 865, 3982, 543, 5023, 22476, 2439, 4089, 476, 272, 281, 6206, 23123, 540, 7442, 592, 1014, 28690, 692, 265, 29641, 543, 17240, 4513, 281, 7442, 592, 807, 19646, 513, 2647, 3099, 540, 12725, 6738, 3132, 971, 607, 14274, 267, 4212, 17852, 267, 11350, 18717, 267, 1148, 747, 10280, 267, 535, 6072, 10365, 267, 7105, 701, 553, 267, 21378, 2812, 267, 543, 3376, 10365, 269, 1452, 5820, 616, 1419, 1031, 538, 27130, 267, 12403, 338, 267, 25235, 267, 543, 2427, 8286, 269, 1280, 1383, 267, 2119, 8600, 1412, 293, 1511, 552, 595, 545, 12929, 10086, 513, 2295, 344, 8670, 1500, 540, 1625, 2946, 539, 12015, 535, 6072, 10365, 6039, 609, 15280, 16719, 543, 1094, 583, 2946, 539, 13342, 3694, 322, 5300, 2125, 1572, 834, 321, 878, 1470, 548, 3010, 265, 29106, 13813, 281, 9717, 922, 5318, 14462, 9240, 1407, 2066, 12902, 15113, 1938, 267, 7442, 592, 807, 7472, 930, 540, 519, 1655, 3063, 20424, 14462, 3282, 11451, 269, 6762, 538, 8137, 267, 713, 11344, 5277, 10597, 3592, 1169, 7594, 5423, 538, 7442, 592, 1014, 6539, 29353, 1107, 10571, 902, 267, 2261, 514, 3547, 267, 11256, 267, 887, 8463, 267, 1989, 3739, 267, 610, 1256, 5671, 3960, 1782, 6151, 5196, 707, 5172, 3536, 269, 15232, 875, 11684, 543, 8949, 7442, 592, 1014, 14462, 3282, 666, 581, 950, 1818, 519, 4583, 1412, 289, 6350, 3832, 1777, 320, 620, 25048, 617, 19660, 9538, 15439, 547, 770, 21100, 540, 12933, 344, 2197, 3694, 267, 6299, 873, 609, 13342, 267, 1283, 609, 22691, 22872, 14274, 19023, 609, 6070, 267, 14723, 267, 24958, 267, 543, 513, 21464, 1350, 1872, 540, 7442, 592, 1014, 12601, 302, 302, 269, 962, 636, 2439, 265, 1530, 2378, 797, 281, 28259, 539, 676, 1079, 15798, 267, 7442, 592, 807, 2640, 7494, 689, 10731, 29598, 540, 3165, 543, 32729, 269, 15019, 5079, 1851, 17137, 1331, 12979, 990, 625, 267, 521, 731, 1149, 267, 1660, 17632, 267, 804, 4461, 267, 2695, 573, 267, 12354, 22455, 267, 2759, 1479, 8127, 267, 543, 20544, 269, 16259, 513, 2757, 11600, 899, 1412, 302, 13440, 577, 2884, 974, 598, 3213, 345, 2763, 552, 7935, 19233, 10086, 10023, 6263, 1274, 11057, 18437, 11273, 609, 13342, 267, 31625, 1166, 1389, 267, 22282, 986, 2041, 267, 3043, 9174, 267, 543, 1660, 17632, 2848, 3139, 1930, 538, 741, 1378, 23238, 269, 5548, 714, 3930, 334, 2439, 265, 4258, 3150, 281, 18610, 29380, 525, 1404, 606, 1898, 1909, 538, 7442, 592, 1014, 3434, 2044, 267, 2523, 3276, 337, 1092, 543, 4779, 3960, 732, 12848, 1019, 1207, 325, 8403, 269, 8738, 337, 1092, 568, 513, 31676, 4999, 540, 8645, 543, 21401, 1225, 1091, 4904, 3330, 513, 6094, 4779, 3960, 732, 12848, 533, 13224, 282, 2899, 8118, 267, 519, 29413, 9703, 522, 334, 8240, 856, 13031, 922, 1232, 611, 775, 269, 17949, 621, 3274, 14324, 6306, 543, 5116, 29691, 5186, 560, 7236, 610, 19184, 539, 9900, 609, 4677, 1922, 3306, 16603, 19997, 269, 7720, 3960, 732, 12848, 1019, 11370, 325, 8403, 2501, 689, 10889, 14900, 5144, 3079, 540, 10800, 781, 5144, 267, 4611, 538, 513, 16437, 518, 9403, 543, 8126, 1512, 6492, 982, 2834, 4779, 3960, 732, 12848, 269, 6215, 823, 909, 930, 4779, 3960, 732, 12848, 1019, 1207, 325, 8403, 2059, 609, 22691, 14274, 267, 29549, 24958, 3762, 267, 513, 10943, 1662, 540, 536, 1023, 25271, 16693, 267, 543, 1164, 7779, 14462, 3282, 585, 513, 5929, 7167, 516, 572, 6428, 611, 780, 265, 29879, 281, 19612, 5097, 585, 2407, 1532, 617, 1221, 556, 1091, 543, 26546, 16543, 267, 7442, 592, 807, 8075, 1896, 6805, 18812, 8677, 3501, 585, 6721, 11108, 25299, 269, 10021, 527, 16343, 543, 27740, 600, 16619, 18683, 6556, 7347, 556, 1091, 14095, 609, 4158, 4829, 10366, 267, 14546, 267, 543, 5347, 512, 2335, 1231, 30867, 5140, 30010, 585, 2295, 344, 5779, 8286, 610, 9907, 10381, 3531, 1562, 269, 2201, 519, 824, 1688, 267, 7638, 1372, 8619, 543, 25512, 3626, 645, 1014, 1723, 18683, 1711, 24253, 16543, 4998, 585, 16872, 905, 6814, 610, 3636, 4832, 1310, 7224, 976, 269, 8347, 7674, 513, 4837, 540, 16511, 528, 582, 32121, 667, 8016, 267, 513, 12021, 3043, 9174, 689, 7442, 592, 807, 267, 7258, 938, 744, 13440, 577, 2884, 974, 598, 3213, 345, 2763, 552, 7935, 19233, 780, 3086, 602, 649, 723, 4121, 827, 1883, 5820, 267, 8791, 476, 273, 786, 1445, 593, 2442, 7442, 592, 1014, 10346, 5078, 585, 1647, 1153, 1053, 547, 5965, 896, 15569, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 291, 3881, 553, 519, 1007, 11879, 1900, 476, 274, 538, 519, 15829, 311, 267, 9306, 7866, 3613, 25891, 18647, 21708, 4446, 267, 2221, 1930, 18647, 4886, 10418, 454, 2171, 2263, 6131, 1004, 543, 15931, 10509, 547, 16102, 938, 1982, 269, 9373, 1440, 2478, 666, 581, 2154, 2079, 998, 12747, 1045, 14591, 269, 15952, 539, 10500, 3305, 539, 267, 789, 2461, 3823, 519, 16048, 2972, 563, 268, 594, 17329, 10478, 585, 543, 596, 666, 1433, 532, 1250, 2199, 23934, 998, 519, 2228, 2934, 563, 268, 594, 798, 3494, 10416, 1185, 11603, 4505, 267, 789, 1131, 3357, 998, 609, 519, 21777, 16295, 1454, 18334, 563, 268, 634, 4195, 4745, 1269, 323, 657, 269, 274, 5479, 14104, 1927, 609, 11968, 2587, 7062, 2622, 22947, 23525, 568, 9709, 585, 12032, 519, 1739, 1032, 563, 268, 3493, 14280, 19524, 4911, 11253, 14105, 1676, 2488, 556, 3438, 730, 602, 621, 538, 519, 3043 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5286, 26769, 13906, 523, 622, 9230, 12639, 269, 2158, 9230, 336, 343, 17482, 314, 271, 3910, 476, 272, 24270, 7117, 343, 1070, 7852, 815, 476, 272, 994, 825, 13545, 815, 5286, 15126, 6025, 652, 14729, 2020, 825, 1820, 2891, 2525, 284, 27240, 1304, 16350, 815, 2525, 5602, 825, 808, 267, 621, 337, 815, 700, 21659, 329, 12500, 2255, 14682, 2784, 1304, 5091, 27853, 4590, 825, 12605, 815, 700, 21659, 329, 4877, 9438, 32429, 343, 994, 825, 1820, 2891, 527, 337, 24333, 621, 337, 994, 825, 1820, 2891, 9064, 24333, 700, 21659, 329, 269, 9064, 267, 834, 19587, 24333, 808, 994, 825, 1820, 2891, 335, 1042, 2109, 24333, 12605, 994, 825, 1820, 2891, 339, 13759, 24333, 13545, 994, 825, 1820, 2891, 305, 5960, 292, 24333, 678, 332, 572, 9638, 1042, 2109, 267, 13545, 4917, 825, 4453, 318, 7120, 6025, 1778, 13448, 267, 5721, 14729, 267, 1449, 13448, 267, 1449, 14729, 267, 700, 21659, 329, 269, 9064, 267, 834, 294, 2784, 1304, 2677, 1417, 15419, 825, 1820, 2891, 2525, 284, 16453, 3830, 815, 2525, 5602, 825, 808, 815, 700, 21659, 329, 269, 7538, 318, 3225, 4590, 825, 12605, 815, 700, 21659, 329, 4877, 9438, 32429, 343, 994, 825, 1820, 2891, 9064, 24333, 700, 21659, 329, 269, 9064, 267, 834, 19587, 24333, 808, 994, 825, 1820, 2891, 335, 1042, 2109, 24333, 12605, 994, 825, 1820, 2891, 339, 13759, 24333, 13545, 994, 825, 1820, 2891, 305, 5960, 292, 24333, 678, 332, 572, 9638, 1042, 2109, 267, 13545, 4917, 825, 4453, 318, 7120, 6025, 1778, 13448, 267, 5721, 14729, 267, 1449, 13448, 267, 1449, 14729, 267, 700, 21659, 329, 269, 9064, 267, 834, 31863, 17817, 15419, 825, 1820, 2891, 2525, 284, 13053, 1505, 815, 2525, 5602, 825, 808, 267, 621, 337, 815, 700, 21659, 329, 269, 2908, 2023, 8548, 1385, 4590, 825, 12605, 815, 700, 21659, 329, 4877, 9438, 32429, 343, 994, 825, 1820, 2891, 527, 337, 24333, 621, 337, 994, 825, 1820, 2891, 9064, 24333, 700, 21659, 329, 269, 9064, 267, 834, 19587, 24333, 808, 994, 825, 1820, 2891, 335, 1042, 2109, 24333, 12605, 994, 825, 1820, 2891, 339, 13759, 24333, 13545, 994, 825, 1820, 2891, 305, 5960, 292, 24333, 678, 332, 572, 9638, 1042, 2109, 267, 13545, 4917, 825, 4453, 318, 7120, 6025, 1778, 13448, 267, 5721, 14729, 267, 1449, 13448, 267, 1449, 14729, 267, 700, 21659, 329, 269, 9064, 267, 834, 6124, 2023, 6396, 15419, 10852, 4590, 0, 258, 769, 634, 8745, 2986, 717, 7495, 1477, 258, 5358, 1067, 568, 2433, 674, 2801, 2763, 327, 744, 571, 324, 328, 19257, 328, 10468, 329, 611, 1477, 258, 9517, 568, 2433, 476, 280, 5038, 25002, 5038, 5897, 2745, 2891, 8923, 4283, 519, 942, 815, 834, 3418, 327, 712, 815, 703, 9272, 3488, 295, 712, 815, 1412, 17903, 2381, 1393, 815, 703, 9272, 3488, 14737, 1393, 815, 1412, 17903, 16149, 815, 703, 9272, 3488, 13553, 815, 1412, 17903, 5913, 815, 5662, 265, 11740, 271, 1341, 8792, 265, 2568, 1341, 2034, 1477, 2745, 3488, 3519, 3200, 942, 547, 7643, 815, 22207, 3813, 264, 0, 18257, 1477, 32046, 593, 9947, 476, 3066, 267, 476, 1001, 278, 5897, 287, 10461, 281, 795, 342, 340, 26413, 1477, 18257, 1477, 322, 3300, 815, 476, 275, 269, 271, 1477, 343, 815, 476, 273, 1477, 2745, 6262, 3300, 3418, 2745, 2891, 31435, 267, 2622, 10590, 10142, 24541, 3240, 11415, 815, 1412, 31435, 262, 1477, 2745, 30044, 11415, 3418, 3240, 11415, 815, 834, 31435, 29177, 2745, 30044, 11415, 3418, 3240, 11415, 815, 834, 10673, 1405, 5855, 827, 19980, 1886, 1127, 29177, 2745, 30044, 11415, 10142, 2745, 3287, 2652, 476, 273, 264, 1948, 16493, 856, 6936, 1477, 2745, 3287, 2652, 476, 274, 264, 1948, 16493, 856, 8771, 1477, 2745, 3287, 2999, 476, 274, 264, 1948, 16493, 856, 6936, 5897, 604, 1535, 2652, 476, 273, 543, 4831, 2652, 276, 2433, 1477, 825, 1820, 2891, 31435, 267, 2622, 10590, 3418, 12828, 6769, 825, 1820, 2891, 16591, 676, 324, 1158, 14744, 21506, 21506, 1948, 2398, 6493, 856, 519, 2338, 476, 271, 267, 272, 267, 273, 267, 274, 267, 275, 1477, 1721, 1535, 538, 2039, 263, 276, 8029, 825, 1820, 3287, 10142, 258, 2398, 6493, 856, 476, 274, 267, 275, 267, 276, 1477, 1721, 1535, 538, 2039, 263, 274, 267, 476, 277, 8029, 825, 1820, 3287, 10142, 258, 2398, 6493, 856, 476, 274, 267, 276, 267, 278, 1477, 1721, 1535, 538, 2039, 263, 274, 267, 476, 279, 267, 476, 273, 8029, 825, 1820, 3287, 264, 0, 258, 700, 8780, 454, 335, 2632, 657, 815, 1496, 272, 267, 476, 275, 267, 476, 278, 267, 476, 274, 267, 476, 1015, 267, 476, 4649, 6540, 335, 2632, 657, 31927, 263, 278, 994, 2745, 9638, 2632, 657, 994, 258, 1496, 272, 267, 476, 275, 267, 476, 274, 267, 476, 1015, 267, 476, 4649, 6540, 258, 570, 16810, 4041, 454, 258, 17328, 6403, 4513, 815, 18011, 289, 6652, 559, 3299, 1412, 31323, 288, 3299, 1412, 288, 548, 2006, 3873, 3299, 1412, 4692, 611, 5451, 3299, 1412, 2005, 5451, 20377, 17210, 258, 17328, 6403, 4513, 31927, 3488, 31323, 288, 10807, 3097, 258, 1948, 5900, 25572, 13286, 281, 1412, 14654, 921, 262, 1843, 814, 1100, 14487, 1412, 24525, 262, 0, 343, 815, 476, 277, 454, 344, 815, 476, 273, 692, 258, 590, 5448, 454, 2745, 6600, 262, 346, 343, 15396, 346, 344, 348, 815, 2715, 343, 1341, 586, 348, 5073, 258, 476, 277, 266, 273, 815, 476, 279, 692, 258, 4427, 10177, 23843, 454, 2745, 6600, 262, 346, 343, 18511, 346, 344, 348, 815, 2715, 343, 910, 586, 348, 5073, 258, 476, 277, 268, 273, 815, 476, 275, 692, 258, 11638, 2364, 320, 23843, 454, 2745, 6600, 262, 346, 343, 26507, 26635, 348, 815, 2715, 343, 2608, 586, 348, 5073, 258, 476, 277, 343, 273, 815, 476, 1321, 692, 258, 6555, 529, 14244, 454, 2745, 6600, 262, 346, 343, 348, 270, 346, 344, 348, 815, 2715, 343, 1315, 586, 348, 10807, 3097, 258, 476, 277, 270, 273, 815, 476, 274, 269, 271, 454, 258, 8074, 6446, 522, 759, 592, 4777, 1583, 5451, 19804, 10581, 267, 8544, 15879, 522, 1267, 18372, 6494, 334, 703, 324, 10098, 780, 258, 8000, 17845, 333, 25556, 454, 2745, 6600, 262, 346, 343, 8703, 344, 348, 815, 2715, 343, 2878, 586, 348, 10807, 1948, 10201, 520, 643, 3512, 324, 281, 4073, 3287, 11971, 994, 258, 476, 277, 317, 273, 815, 476, 3607, 692, 258, 6555, 529, 14244, 703, 324, 4275, 454, 2745, 6600, 262, 8512, 324, 703, 324, 4275, 632, 2715, 343, 348, 270, 346, 344, 348, 20527, 2715, 343, 12262, 586, 348, 5073, 258, 3487, 324, 703, 324, 4275, 632, 476, 277, 270, 273, 20527, 476, 274, 692, 258, 10163, 334, 13005, 8954, 14244, 454, 2745, 6600, 262, 3725, 560, 334, 632, 2715, 343, 348, 270, 346, 344, 348, 20527, 2715, 343, 4939, 586, 348, 5073, 258, 10163, 334, 632, 476, 277, 270, 273, 20527, 476, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 25539, 289, 476, 2767, 267, 476, 1708, 273, 454, 290, 3300, 842, 3485, 775, 1210, 19025, 454, 763, 1646, 543, 946, 540, 2930, 3457, 547, 4163, 856, 4108, 610, 3354, 5829, 3527, 1404, 513, 3152, 1909, 2221, 982, 2479, 1354, 269, 769, 1880, 267, 519, 2417, 1646, 540, 7405, 971, 607, 19025, 543, 741, 946, 568, 540, 1390, 1719, 547, 519, 4108, 543, 3354, 14540, 269, 1280, 1383, 267, 19025, 666, 581, 1031, 547, 4194, 513, 3099, 540, 2042, 269, 2201, 519, 835, 1688, 267, 519, 946, 540, 2666, 4229, 585, 4108, 2962, 610, 17611, 32025, 538, 11397, 2127, 666, 581, 513, 1981, 3815, 585, 4108, 4559, 267, 2523, 950, 7231, 609, 20935, 267, 15458, 543, 538, 17739, 1043, 14099, 563, 2304, 7650, 540, 519, 2949, 3510, 689, 519, 2011, 610, 838, 3539, 593, 519, 6753, 540, 10546, 10136, 609, 519, 948, 540, 19025, 666, 1683, 2666, 4229, 609, 1271, 1344, 585, 2500, 543, 3608, 4108, 2962, 269, 2201, 519, 824, 1688, 267, 538, 3354, 3146, 10589, 3871, 971, 607, 2736, 15564, 538, 4853, 6703, 267, 519, 9101, 540, 20737, 610, 4180, 1857, 3106, 538, 519, 2680, 540, 12469, 267, 621, 568, 1419, 2556, 547, 2746, 3533, 267, 799, 568, 1419, 711, 2009, 610, 3217, 1932, 1279, 609, 2666, 2861, 6472, 267, 4470, 593, 519, 6808, 3510, 610, 14099, 269, 634, 946, 540, 19666, 19025, 568, 5078, 585, 713, 267, 607, 789, 666, 581, 18611, 4827, 4601, 543, 3533, 547, 3914, 8594, 2127, 3533, 543, 1020, 3435, 585, 6433, 3871, 3533, 563, 13295, 267, 513, 2603, 540, 2724, 568, 21248, 547, 1489, 20473, 3785, 538, 519, 4108, 543, 3354, 9922, 267, 1851, 1866, 267, 676, 22257, 14540, 267, 855, 849, 547, 930, 6708, 676, 4357, 9520, 269, 901, 666, 849, 1291, 547, 519, 13319, 543, 1646, 540, 8966, 267, 711, 547, 2161, 627, 871, 344, 267, 3785, 5473, 19025, 563, 1607, 568, 1018, 519, 16470, 11628, 3194, 18768, 10837, 630, 291, 2752, 5183, 264, 568, 7231, 609, 267, 585, 1383, 269, 901, 568, 606, 9872, 540, 519, 2475, 4972, 540, 16470, 602, 11438, 856, 1382, 3785, 585, 519, 2475, 11439, 4229, 269, 1306, 851, 540, 922, 834, 301, 8457, 5794, 27990, 257, 630, 2793, 309, 264, 10872, 267, 513, 10760, 18634, 540, 513, 834, 21065, 2719, 12704, 6438, 257, 8484, 729, 547, 581, 2966, 543, 3710, 269, 1280, 713, 267, 667, 2752, 5183, 5249, 609, 519, 2754, 589, 3266, 309, 1241, 618, 269, 667, 2752, 5183, 814, 6462, 589, 3266, 309, 1241, 618, 609, 1269, 275, 2929, 2094, 476, 1220, 277, 547, 1020, 519, 18634, 834, 21065, 2719, 12704, 6438, 257, 8484, 585, 519, 30594, 5794, 27990, 269, 634, 1788, 2919, 589, 3266, 309, 1241, 618, 781, 834, 301, 8457, 9966, 2719, 12704, 2580, 513, 6263, 267, 1272, 20695, 267, 4628, 4175, 762, 22342, 8773, 602, 5702, 20998, 513, 23832, 12704, 563, 288, 4605, 540, 519, 834, 21065, 2719, 12704, 20473, 257, 666, 581, 2938, 538, 7612, 476, 273, 269, 4595, 519, 30594, 9966, 2719, 12704, 568, 606, 30313, 2740, 20716, 7796, 6838, 8484, 1062, 630, 14641, 3008, 1070, 621, 8813, 883, 519, 7121, 540, 19025, 267, 610, 811, 10502, 267, 1166, 6260, 26310, 19025, 269, 634, 8484, 814, 1079, 3001, 12209, 543, 3096, 1152, 13617, 20054, 585, 27668, 543, 1852, 269, 2060, 713, 7154, 540, 21525, 10056, 267, 519, 9966, 2719, 12704, 20473, 666, 10841, 754, 543, 13956, 19794, 267, 8038, 4464, 267, 18807, 267, 2427, 1811, 2451, 543, 1318, 267, 543, 2490, 29628, 543, 4831, 22018, 3772, 269, 898, 666, 3914, 513, 3432, 540, 476, 1704, 21240, 829, 5662, 538, 4464, 8184, 269, 634, 8484, 22179, 1152, 476, 866, 326, 267, 1519, 9075, 267, 16546, 267, 2792, 1949, 543, 3381, 8254, 267, 543, 814, 513, 12209, 3966, 540, 476, 1626, 1298, 22015, 637, 267, 1818, 621, 4130, 982, 519, 4102, 1634, 23832, 12704, 269, 898, 849, 814, 513, 3710, 2987, 8254, 543, 513, 1524, 15062, 602, 666, 10141, 2661, 3381, 269, 4438, 519, 1788, 267, 589, 3266, 309, 1241, 618, 729, 2111, 547, 946, 519, 1507, 22342, 20473, 547, 3035, 267, 1851, 824, 1919, 267, 513, 6024, 29964, 942, 540, 5216, 3764, 1510, 606, 5007, 1379, 2707, 543, 6542, 875, 519, 20473, 13733, 998, 513, 3339, 13355, 7450, 689, 519, 3544, 547, 519, 3330, 543, 1394, 856, 1586, 563, 763, 1788, 2982, 602, 519, 946, 540, 6263, 10760, 19025, 547, 2263, 538, 17739, 1043, 543, 3226, 7522, 543, 2587, 1194, 14099, 610, 5624, 568, 2009, 538, 519, 2104, 269, 901, 1223, 581, 1031, 585, 4108, 22342, 4238, 547, 1683, 28365, 4229, 609, 1483, 6066, 32638, 4656, 998, 23197, 11028, 18590, 267, 13178, 543, 2792, 267, 610, 585, 6595, 4238, 547, 3406, 585, 1004, 538, 2067, 12469, 971, 607, 11642, 538, 5656, 563, 288, 1188, 9007, 267, 661, 269, 630, 1001, 272, 1040, 667, 2752, 5183, 1230, 11079, 30594, 5794, 27990, 5358, 267, 1284, 24090, 1548, 781, 8921, 269, 20959, 25400, 269, 8158, 476, 2537, 4728, 476, 1708, 273, 689, 4179, 2517, 338, 1051, 5300, 269, 773, 2465, 3820, 7933, 541, 11985, 8410, 11079, 5991, 8457, 25101, 268, 557, 327, 1834, 3491, 13559, 32734, 2914, 16093, 2914, 1002, 338, 268, 10113, 563, 27839, 753, 517, 267, 667, 269, 630, 1001, 272, 1040, 667, 2752, 5183, 30845, 30594, 9966, 2719, 12704, 22342, 15318, 3217, 8184, 630, 341, 8721, 1040, 1266, 611, 1326, 2593, 269, 8158, 476, 2537, 4728, 476, 1708, 273, 689, 4179, 2517, 4178, 269, 1263, 611, 1326, 2593, 270, 1001, 272, 268, 6349, 268, 1240, 1673, 541, 11985, 30845, 5991, 8457, 3620, 636, 2719, 12704, 1606, 6853, 15318, 2389, 1389, 1922, 2775, 8686, 8721, 11258, 286, 7666, 764, 3300, 284, 272, 261, 7666, 576, 23631, 2536, 17243, 30381, 16281, 271, 322, 295, 300, 277, 299, 344, 11152, 323, 274, 30501, 313, 3066, 341, 313, 273, 343, 331, 299, 332, 293, 271, 299, 342, 261, 7666, 576, 23631, 2536, 17243, 5334, 580, 284, 288, 304, 8150, 288, 295, 330, 5400, 320, 301, 341, 318, 297, 271, 4002, 306, 274, 23354, 30862, 337, 295, 278, 299, 30893, 342, 298, 307, 326, 304, 295, 331, 321, 6767, 277, 5141, 4932, 309, 32074, 299, 298, 309, 345, 330, 337, 278, 299, 334, 310, 3199, 278, 318, 17584, 289, 332, 330, 274, 296, 304, 322, 293, 310, 339, 343, 321, 8042, 272, 331, 309, 337, 5319, 296, 25829, 310, 345, 303, 21223, 268, 318, 323, 31319, 280, 321, 307, 11899, 274, 310, 311, 302, 329, 274, 292, 278, 345, 276, 293, 19699, 323, 279, 310, 275, 308, 325, 345, 293, 327, 311, 343, 332, 273, 341, 273, 29262, 321, 5938, 6781, 277, 326, 275, 11390, 320, 304, 331, 337, 11902, 295, 321, 295, 13695, 328, 305, 310, 10844, 329, 310, 345, 307, 3149, 300, 341, 292, 325, 313, 290, 11152, 310, 291, 4942, 0, 302, 32342, 814, 13166, 7902, 538, 519, 2475, 269, 1717, 267, 519, 6669, 9516, 538, 519, 2197, 949, 2270, 513, 968, 572, 4038, 13104, 892, 1996, 621, 563, 763, 968, 572, 4038, 13104, 892, 602, 666, 948, 4339, 519, 744, 32342, 14583, 454, 4002, 5412, 476, 272, 267, 1857, 1072, 8387, 9672, 519, 1101, 2013, 540, 3968, 609, 519, 744, 32342, 14583, 540, 13044, 268, 866, 538, 4993, 269, 901, 1268, 14612, 689, 3162, 4000, 547, 5842, 12770, 593, 5437, 476, 2420, 543, 7318, 2318, 593, 5437, 476, 3066, 269, 634, 3461, 814, 1044, 4628, 18764, 609, 1079, 13066, 267, 855, 814, 711, 4607, 606, 3606, 9570, 563, 19669, 5600, 2564, 25129, 3220, 269, 20900, 674, 879, 857, 1767, 602, 2394, 5412, 476, 272, 267, 519, 1007, 14583, 1185, 7646, 2589, 543, 729, 7930, 23232, 269, 7183, 540, 519, 2673, 17066, 540, 519, 3461, 7318, 2318, 563, 763, 3262, 540, 519, 1007, 14583, 12651, 4145, 602, 744, 32342, 568, 811, 2693, 547, 2057, 519, 12489, 4607, 689, 519, 13044, 268, 866, 6669, 982, 824, 14726, 563, 17387, 14688, 267, 2705, 267, 972, 568, 1100, 2601, 547, 2057, 12674, 610, 26259, 25750, 1996, 13044, 268, 866, 269, 5221, 1018, 10074, 3142, 547, 948, 2149, 519, 1480, 1560, 1996, 13044, 268, 866, 616, 711, 1152, 12489, 563, 3080, 540, 519, 824, 5728, 9604, 616, 570, 2281, 269, 1452, 2281, 666, 1832, 4628, 18764, 1004, 689, 3478, 1360, 7210, 267, 1256, 952, 789, 616, 7783, 609, 519, 744, 32342, 14583, 269, 570, 2281, 949, 1256, 2272, 585, 2550, 538, 4993, 609, 1152, 7646, 2589, 563, 1692, 570, 2281, 1711, 968, 3333, 1752, 892, 1996, 13044, 268, 866, 454, 2691, 18764, 1996, 13044, 268, 866, 267, 519, 1480, 4761, 1062, 786, 3132, 606, 968, 1301, 344, 5608, 9967, 540, 1114, 2010, 540, 2281, 267, 971, 607, 12489, 267, 645, 2281, 543, 570, 2281, 269, 1358, 9192, 609, 1142, 824, 547, 4339, 519, 3644, 563, 763, 12489, 616, 707, 1560, 779, 1101, 4494, 540, 8878, 269, 1358, 12622, 547, 543, 10359, 519, 2627, 540, 519, 3644, 547, 2061, 621, 689, 32415, 513, 1591, 267, 3927, 5329, 596, 689, 3478, 7210, 538, 519, 1101, 1747, 563, 307, 2281, 616, 519, 1985, 4494, 269, 1452, 3043, 1973, 2281, 267, 849, 1634, 607, 9726, 14231, 267, 3077, 543, 6861, 2281, 7783, 609, 513, 3644, 269, 589, 15410, 540, 570, 2281, 267, 1572, 20740, 570, 2281, 267, 616, 3226, 2500, 1317, 789, 3343, 856, 543, 3045, 8811, 30968, 7783, 2281, 267, 16069, 519, 3968, 689, 10825, 543, 5329, 596, 689, 3478, 16094, 7210, 563, 13126, 281, 24282, 6925, 454, 5472, 1614, 9516, 10074, 538, 519, 2475, 5818, 519, 1560, 779, 2504, 540, 570, 2281, 269, 3194, 2982, 602, 6669, 14001, 6114, 2611, 7347, 538, 519, 3068, 540, 13044, 268, 866, 13592, 267, 1256, 9409, 4573, 1218, 602, 666, 2057, 12489, 563, 32546, 685, 1448, 540, 2070, 454, 6546, 779, 1018, 930, 4966, 616, 1869, 18468, 585, 1631, 269, 1280, 1383, 267, 593, 5437, 476, 1789, 267, 12713, 18199, 3663, 16628, 543, 1071, 1922, 10133, 267, 3220, 269, 21051, 584, 19300, 514, 267, 5143, 519, 654, 306, 297, 602, 744, 6193, 1941, 568, 12691, 547, 9101, 519, 968, 16149, 24266, 4761, 3210, 892, 602, 568, 570, 2281, 563, 8448, 338, 2161, 602, 538, 519, 9000, 540, 2347, 1239, 267, 621, 568, 1869, 1932, 2038, 547, 2161, 4010, 827, 519, 2702, 540, 519, 1560, 547, 2149, 1996, 519, 744, 32342, 14583, 540, 570, 2281, 269, 26701, 1014, 1656, 619, 523, 267, 606, 6375, 6048, 693, 519, 2480, 23774, 338, 3194, 4659, 3081, 602, 267, 4352, 570, 2281, 666, 4308, 609, 8290, 267, 621, 568, 711, 2312, 875, 789, 786, 2149, 519, 1560, 689, 3968, 563, 2252, 519, 1699, 6669, 568, 711, 2500, 2614, 1996, 519, 1007, 14583, 267, 10074, 4481, 585, 713, 14583, 786, 581, 2919, 269, 634, 24068, 7245, 568, 2907, 4058, 609, 26172, 6500, 267, 7073, 320, 543, 9652, 1299, 9652, 585, 602, 1761, 20314, 1890, 267, 6519, 5600, 13044, 4717, 13541, 11518, 2098, 1801, 1767, 538, 513, 5618, 532, 13638, 563, 17457, 320, 3081, 621, 779, 2324, 593, 513, 6963, 4327, 6669, 602, 1223, 581, 4712, 547, 6928, 676, 2038, 476, 1708, 273, 267, 952, 2556, 269, 808, 261, 297, 849, 3081, 621, 779, 2324, 593, 513, 1007, 522, 32342, 10391, 6669, 267, 1247, 26172, 6500, 3081, 621, 779, 7996, 585, 811, 1239, 1354, 9117, 563, 1103, 519, 29291, 267, 674, 879, 857, 5227, 1079, 3527, 585, 3025, 547, 1491, 912, 7476, 707, 13044, 6669, 543, 26259, 950, 596, 2461, 14718, 267, 543, 1832, 1739, 519, 17846, 2409, 596, 4076, 1044, 1210, 2094, 519, 6855, 3459, 269, 2334, 2882, 9633, 532, 267, 1688, 9882, 267, 26865, 538, 11255, 1857, 5624, 543, 5248, 908, 950, 2556, 269, 0, 291, 24122, 10194, 8611, 814, 513, 16221, 540, 14245, 543, 8374, 269, 28563, 5338, 568, 606, 17019, 543, 29200, 28658, 540, 28939, 269, 3414, 1950, 2619, 19398, 8344, 6127, 28939, 8611, 666, 1764, 519, 1981, 543, 2014, 11702, 538, 1082, 2081, 269, 29138, 723, 1044, 2322, 4464, 15819, 519, 1909, 540, 22104, 1670, 19717, 998, 24405, 7514, 9008, 29646, 543, 6676, 2280, 14524, 267, 547, 1970, 27417, 514, 4094, 543, 2188, 3238, 538, 519, 30243, 1637, 22107, 1228, 4611, 538, 12675, 6673, 22721, 269, 22031, 1738, 14524, 543, 30243, 592, 14527, 7707, 2989, 676, 22412, 730, 703, 9545, 6018, 30243, 1637, 543, 1256, 21729, 1529, 14527, 616, 2219, 547, 7654, 3565, 2509, 11702, 267, 29211, 676, 519, 6375, 1670, 19717, 2938, 538, 28939, 10194, 8611, 1496, 277, 267, 278, 267, 279, 4940, 1879, 13745, 1927, 609, 946 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9266, 543, 2565, 3206, 616, 1271, 543, 799, 5352, 3982, 4485, 547, 519, 2055, 789, 2232, 269, 4518, 6656, 5399, 281, 2565, 3206, 281, 9344, 476, 277, 268, 279, 10950, 547, 2069, 1158, 781, 960, 6656, 5399, 538, 713, 3296, 540, 938, 5399, 267, 649, 1459, 811, 982, 476, 1911, 4712, 3562, 268, 2745, 2875, 960, 9212, 6896, 676, 3446, 1377, 269, 0, 307, 1938, 540, 570, 754, 2590, 5741, 16684, 454, 763, 14886, 540, 20289, 19213, 6742, 10314, 18975, 723, 4607, 11278, 1015, 267, 1822, 540, 7616, 689, 670, 299, 293, 543, 616, 15691, 547, 6318, 4656, 540, 519, 12178, 540, 14700, 538, 570, 754, 2590, 676, 15388, 519, 1686, 540, 14700, 538, 519, 1858, 543, 5009, 998, 513, 3803, 14266, 543, 2621, 519, 991, 547, 581, 5423, 585, 17160, 269, 898, 5654, 547, 2263, 519, 6043, 543, 2208, 540, 606, 1858, 4299, 676, 3140, 14700, 563, 763, 570, 754, 2590, 2146, 568, 3222, 540, 519, 10969, 566, 602, 519, 476, 4198, 274, 6360, 3361, 267, 2705, 267, 936, 519, 1296, 1004, 723, 3323, 547, 1831, 5360, 8809, 827, 519, 12178, 540, 14700, 1813, 547, 519, 811, 2487, 6360, 6937, 538, 2413, 3965, 711, 8757, 6788, 269, 20289, 19213, 590, 1343, 814, 519, 2034, 1655, 4262, 1219, 1878, 538, 4789, 282, 519, 2601, 585, 713, 568, 1317, 540, 922, 1279, 1686, 540, 14700, 269, 634, 476, 4198, 274, 17160, 616, 8185, 2404, 609, 519, 570, 754, 2590, 1858, 2705, 1082, 1004, 798, 711, 29311, 602, 519, 6360, 2152, 2392, 919, 621, 609, 17160, 538, 519, 476, 3707, 271, 338, 267, 476, 4350, 271, 338, 543, 8757, 607, 2484, 1394, 607, 17454, 590, 19414, 2053, 269, 634, 21864, 24627, 11485, 10495, 676, 570, 754, 2590, 10588, 7027, 6054, 6360, 2152, 538, 570, 754, 2590, 998, 23864, 1147, 2471, 689, 476, 16928, 273, 27477, 269, 1452, 4220, 723, 4299, 519, 2208, 540, 519, 1858, 267, 607, 621, 7506, 4058, 10479, 267, 5092, 267, 8105, 543, 824, 6080, 269, 898, 786, 3136, 547, 1198, 519, 2104, 540, 570, 754, 2590, 563, 763, 1788, 786, 946, 519, 1433, 7066, 12329, 748, 570, 1938, 676, 2199, 14787, 22361, 529, 26673, 787, 607, 513, 4358, 1448, 269, 901, 1433, 3370, 538, 476, 1220, 278, 568, 1631, 856, 540, 1820, 543, 649, 1616, 547, 1628, 2390, 713, 5748, 540, 1382, 543, 1118, 621, 811, 1435, 331, 1227, 3015, 269, 634, 14886, 6999, 547, 1382, 519, 1686, 540, 17160, 689, 17454, 590, 19414, 2053, 998, 547, 519, 2413, 1554, 799, 786, 1331, 10916, 5711, 1686, 540, 519, 27549, 540, 519, 4884, 538, 5412, 476, 1001, 275, 543, 5988, 476, 1001, 278, 950, 519, 3463, 540, 14700, 8120, 2899, 1586, 269, 11657, 875, 621, 814, 4957, 519, 9381, 5251, 543, 2146, 607, 1134, 607, 6318, 4656, 540, 519, 1198, 540, 14700, 563, 763, 2949, 2832, 540, 519, 1788, 568, 547, 12840, 609, 1883, 4891, 543, 519, 2146, 538, 1931, 547, 1382, 519, 1686, 540, 14700, 538, 519, 1858, 267, 3561, 875, 621, 814, 4957, 519, 5251, 543, 9468, 17473, 1312, 1480, 543, 7320, 543, 538, 2490, 6318, 4656, 540, 519, 1198, 540, 14700, 998, 29355, 2621, 267, 606, 14266, 543, 2228, 2200, 269, 634, 1788, 786, 1711, 513, 2631, 540, 4656, 585, 2199, 1004, 543, 11760, 519, 7415, 6043, 540, 513, 2189, 1858, 563, 307, 1938, 540, 570, 754, 2590, 21816, 17621, 16684, 454, 763, 14886, 540, 20289, 19213, 6742, 10314, 18975, 616, 3168, 585, 15321, 3173, 547, 948, 593, 513, 1007, 3078, 1788, 267, 2048, 307, 1938, 540, 570, 754, 2590, 17483, 763, 960, 786, 27167, 2324, 609, 7264, 2066, 570, 754, 2590, 543, 1585, 15882, 543, 21517, 547, 1382, 6456, 2984, 540, 1004, 593, 519, 10315, 779, 4657, 23795, 543, 519, 8978, 3463, 540, 14700, 563, 5278, 2951, 949, 581, 2838, 630, 10177, 767, 9276, 786, 581, 6976, 264, 543, 930, 1995, 540, 8978, 1382, 1131, 581, 5363, 855, 711, 1898, 607, 2866, 786, 581, 3177, 563, 10932, 1974, 786, 581, 5239, 476, 1001, 279, 1107, 5130, 476, 1001, 280, 609, 2009, 3255, 547, 581, 3238, 3564, 713, 942, 1974, 563, 2252, 596, 8910, 899, 547, 581, 3238, 538, 519, 1788, 5225, 3346, 519, 14886, 540, 20289, 19213, 6742, 10314, 18975, 454, 307, 601, 281, 476, 23713, 4649, 476, 279, 2420, 4281, 274, 454, 4002, 476, 1556, 5437, 476, 1001, 279, 267, 2950, 786, 5531, 593, 17822, 2066, 519, 5177, 547, 2161, 9684, 596, 543, 1434, 25742, 269, 17912, 2173, 6033, 667, 15967, 15196, 548, 20217, 596, 547, 6443, 1864, 538, 16287, 476, 1911, 1296, 2094, 14022, 626, 823, 543, 519, 1439, 540, 519, 3689, 2622, 2782, 269, 9664, 540, 519, 7256, 568, 513, 2189, 4090, 547, 2161, 1434, 25742, 267, 1927, 267, 547, 519, 6634, 540, 2367, 543, 2021, 945, 2451, 741, 24528, 1282, 519, 2112, 267, 1082, 2760, 547, 2132, 563, 8340, 856, 811, 693, 8940, 4877, 1137, 21510, 515, 22855, 3820, 16896, 335, 1137, 540, 519, 4262, 454, 18794, 721, 593, 13723, 476, 4029, 560, 5239, 267, 476, 276, 10975, 268, 278, 10975, 585, 930, 838, 809, 344, 1948, 295, 9994, 8696, 1187, 2336, 4415, 6575, 543, 13492, 267, 3756, 543, 29295, 906, 972, 779, 1187, 585, 782, 519, 1920, 2336, 10403, 6749, 538, 19343, 2680, 256, 15012, 721, 585, 606, 10543, 540, 838, 809, 344, 1187, 609, 6575, 543, 13492, 267, 3756, 543, 29295, 906, 269, 6423, 1018, 554, 9994, 8696, 814, 538, 4558, 609, 20151, 267, 16835, 543, 3109, 7314, 282, 2097, 2059, 543, 1294, 952, 596, 616, 12703, 2614, 547, 8945, 610, 1521, 2336, 14399, 1590, 581, 24892, 693, 782, 2053, 269, 8779, 6979, 18593, 269, 0, 26364, 476, 272, 268, 275, 24493, 713, 13959, 547, 30647, 25366, 598, 993, 528, 543, 4864, 324, 598, 993, 528, 267, 2278, 270, 3879, 15249, 29036, 12857, 519, 1272, 543, 960, 540, 6764, 1833, 626, 18048, 19863, 324, 3933, 564, 269, 2701, 1281, 865, 538, 513, 4819, 7888, 6752, 676, 16213, 519, 7376, 607, 513, 22788, 11276, 7703, 269, 19863, 324, 267, 607, 513, 1762, 7703, 267, 14560, 547, 9114, 538, 519, 4677, 543, 4585, 519, 1259, 519, 3141, 5932, 1769, 543, 14692, 543, 875, 519, 1769, 2242, 519, 4778, 540, 1919, 269, 1809, 5310, 519, 1034, 4090, 748, 2680, 540, 1010, 1272, 568, 1010, 1920, 781, 1847, 689, 8303, 547, 519, 15798, 728, 4884, 540, 2274, 32147, 516, 267, 1141, 646, 9428, 909, 269, 3371, 646, 5956, 1010, 3978, 1353, 543, 2259, 540, 7206, 609, 645, 3716, 514, 267, 513, 7548, 540, 7206, 945, 26182, 1864, 547, 4734, 2274, 32147, 516, 267, 2132, 547, 8303, 267, 543, 689, 1287, 576, 547, 2951, 811, 17618, 269, 29036, 2123, 3278, 519, 10367, 540, 3933, 564, 676, 11093, 19863, 324, 538, 10207, 6537, 689, 267, 543, 24018, 2390, 267, 1010, 960, 543, 838, 6064, 1176, 19142, 873, 834, 290, 269, 19594, 1701, 2755, 711, 2693, 547, 581, 513, 1433, 1082, 1453, 786, 1224, 593, 741, 1378, 267, 713, 568, 606, 5140, 3903, 585, 4116, 268, 610, 7172, 4115, 30928, 2090, 540, 1148, 543, 5159, 543, 513, 24886, 27592, 547, 1007, 2081, 540, 7487, 543, 6721, 1148, 267, 607, 1053, 3406, 519, 1433, 781, 12383, 1496, 528, 3933, 564, 781, 10367, 316, 585, 2963, 540, 1010, 1445, 593, 1769, 2864, 982, 1469, 543, 26278, 12093, 269, 3213, 641, 11412, 1676, 267, 6754, 595, 269, 2859, 7224, 16504, 267, 4432, 17131, 334, 267, 29255, 14645, 476, 1220, 272, 595, 1695, 2996, 6355, 6176, 269, 0, 30469, 8615, 918, 6652, 5500, 752, 267, 721, 322, 21504, 10972, 680, 558, 2329, 3820, 267, 5437, 476, 1321, 454, 684, 8619, 1632, 539, 3239, 689, 2376, 454, 9616, 689, 519, 8713, 291, 18248, 15440, 281, 901, 1557, 729, 9862, 676, 519, 2278, 689, 1200, 1395, 1748, 267, 968, 13233, 26505, 538, 3163, 267, 24547, 558, 2329, 267, 543, 3163, 24547, 558, 2329, 281, 589, 8865, 5530, 540, 519, 623, 276, 18831, 2223, 513, 476, 1001, 279, 8313, 689, 5696, 650, 3194, 21126, 538, 24547, 558, 2329, 543, 14579, 8889, 269, 3367, 519, 2278, 781, 8713, 291, 18248, 9708, 827, 2257, 23372, 538, 519, 5177, 543, 5333, 1934, 543, 1934, 2529, 7220, 23372, 568, 4742, 606, 1271, 1907, 543, 7271, 602, 2636, 2829, 547, 811, 3927, 3895, 543, 5150, 741, 4914, 3609, 16786, 269, 20876, 519, 1909, 2257, 4249, 593, 3084, 543, 3486, 2157, 267, 538, 1840, 547, 7114, 519, 3084, 20320, 2511, 267, 2337, 547, 4020, 513, 3084, 2511, 540, 2257, 23372, 543, 6218, 922, 1761, 585, 2518, 10350, 538, 5466, 2518, 2152, 593, 513, 7372, 9836, 4336, 269, 634, 1353, 8711, 875, 3084, 2511, 538, 2257, 23372, 5540, 519, 1184, 540, 2518, 6735, 513, 907, 0, 2108, 15307, 629, 7667, 9434, 4708, 568, 519, 960, 540, 2069, 269, 2353, 6214, 666, 798, 568, 1832, 721, 856, 540, 2112, 563, 349, 3220, 269, 12756, 26229, 454, 1432, 568, 4708, 2069, 888, 257, 8248, 864, 2069, 2238, 3895, 519, 1702, 267, 1983, 543, 8456, 602, 786, 948, 1004, 2901, 547, 2061, 519, 12136, 540, 4655, 267, 8207, 7526, 25678, 267, 610, 1711, 1514, 2175, 20009, 547, 4708, 563, 290, 648, 2418, 540, 32593, 775, 543, 1514, 5126, 616, 3844, 547, 4708, 2069, 269, 6348, 24825, 775, 568, 28955, 998, 2418, 971, 607, 2463, 585, 1480, 2924, 267, 5191, 543, 3972, 269, 4317, 5126, 568, 7691, 676, 3741, 540, 7862, 267, 5539, 267, 543, 17604, 563, 1103, 1931, 547, 3035, 891, 16431, 267, 4708, 2069, 15961, 2066, 519, 1158, 2232, 513, 2647, 2039, 540, 4798, 269, 1452, 1331, 32593, 775, 267, 4655, 6571, 2553, 267, 9111, 267, 771, 1301, 3512, 267, 4008, 7862, 267, 1480, 2924, 267, 2825, 5539, 267, 1686, 267, 2792, 1983, 267, 30398, 267, 543, 3486, 1620, 543, 10892, 540, 4763, 563, 8248, 864, 2069, 666, 581, 9447, 547, 1004, 540, 782, 6502, 267, 538, 1312, 6101, 543, 13016, 5468, 269, 5358, 6996, 2291, 693, 2199, 267, 3084, 267, 543, 3486, 2157, 267, 543, 538, 2053, 540, 4708, 267, 4655, 267, 543, 2022, 18101, 12787, 1701, 9625, 13458, 6184, 697, 454, 294, 10232, 476, 274, 268, 277, 281, 26229, 16504, 13458, 4065, 454, 763, 4295, 2418, 540, 513, 26229, 2069, 616, 13458, 267, 24553, 267, 543, 3938, 17940, 269, 2311, 31660, 1261, 2074, 3427, 585, 21989, 938, 21836, 1053, 1451, 543, 2259, 602, 834, 8248, 864, 5956, 609, 803, 1701, 1498, 6640, 11401, 267, 11009, 267, 2110, 9066, 267, 543, 1895, 4708, 3785, 563, 294, 10232, 476, 278, 268, 280, 281, 26229, 18520, 594, 13458, 4065, 454, 2026, 6690, 3914, 2038, 18273, 789, 616, 12592, 543, 23518, 676, 4543, 1866, 267, 676, 1818, 513, 3017, 269, 13458, 2069, 693, 519, 18520, 594, 1377, 568, 6026, 607, 1312, 513, 5094, 1576, 543, 568, 7471, 1498, 856, 824, 5396, 269, 6103, 476, 280, 338, 2347, 513, 2027, 4708, 1788, 1354, 789, 3136, 593, 547, 18947, 3427, 563, 294, 10232, 476, 1015, 268, 1321, 281, 26229, 18520, 4083, 13458, 1299, 18366, 5525, 454, 28275, 538, 3446, 476, 1015, 519, 13458, 4065, 6030, 540, 16504, 543, 18520, 594, 267, 9772, 513, 811, 2518, 543, 27268, 2620, 1445, 593, 13458, 543, 18366, 5525, 269, 15099, 568, 6537, 689, 2789, 2959, 1519, 519, 2136, 8315, 267, 6280, 15938, 543, 10927, 3292, 267, 543, 689, 519, 6829, 4690, 540, 938, 2146, 269, 5530, 568, 15491, 543, 15834, 8720, 1686, 267, 19795, 267, 15257, 267, 4008, 543, 9698, 2090, 267, 7087, 4529, 267, 519, 3308, 543, 7900, 6575, 267, 11585, 267, 9297, 267, 6214, 11305, 643, 923, 267, 6128, 543, 1239, 9443, 267, 2029, 267, 543, 811, 269, 634, 1614, 1032, 1576, 538, 13458, 543, 18366, 5525, 15921, 12885, 538, 606, 1367, 4708, 1788, 543, 1382, 1557, 543, 6881, 269, 0, 295, 739, 281, 670, 1678, 5682, 14747, 9197, 1662, 6092, 13898, 267, 3812, 538, 7681, 609, 32282, 7913, 2289, 3930, 563, 272, 1548, 568, 13898, 888, 273, 1215, 547, 14803, 826, 454, 274, 1215, 547, 14803, 826, 910, 1473, 25934, 1299, 2806, 9134, 454, 275, 28167, 4144, 22479, 26369, 1299, 634, 7186, 540, 18712, 454, 276, 31951, 28024, 696, 6291, 454, 277, 28676, 267, 20588, 267, 1299, 2506, 2869, 6291, 454, 278, 634, 12791, 540, 11310, 454, 279, 20913, 7377, 704, 267, 3163, 267, 543, 28342, 657, 7220, 454, 280, 1323, 1088, 332, 543, 519, 21261, 585, 2696, 454, 1015, 13985, 21590, 543, 519, 15328, 332, 1670, 14803, 3701, 454, 1556, 10164, 550, 5071, 454, 1321, 1548, 568, 2696, 6145, 888, 1724, 634, 9046, 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 ]
[ 13860, 747, 267, 6196, 2296, 281, 8845, 553, 264, 610, 29703, 616, 513, 4182, 543, 6803, 1895, 5065, 547, 10430, 269, 25214, 267, 789, 7153, 689, 606, 31498, 14212, 540, 1079, 22469, 18702, 9082, 267, 519, 11625, 338, 543, 12821, 1564, 267, 945, 8547, 519, 8003, 540, 10430, 630, 528, 1325, 9346, 264, 538, 519, 476, 280, 628, 2540, 563, 8005, 12199, 10430, 538, 476, 14690, 274, 888, 21914, 6276, 24163, 540, 10430, 763, 6196, 23239, 2658, 729, 10294, 3751, 6276, 24163, 540, 10430, 267, 543, 8176, 9709, 1010, 12289, 540, 4789, 563, 1432, 568, 519, 1973, 5006, 6370, 538, 1686, 888, 763, 11135, 540, 519, 24622, 1889, 763, 11135, 540, 519, 24622, 1889, 729, 835, 540, 519, 4102, 12959, 540, 2622, 2782, 594, 267, 543, 1851, 519, 1973, 5006, 538, 782, 540, 1480, 1686, 269, 634, 11135, 540, 519, 24622, 1889, 729, 835, 540, 519, 4102, 12959, 540, 2622, 2782, 594, 267, 543, 1851, 519, 1973, 5006, 538, 782, 540, 1480, 1686, 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 ]
[ 16161, 543, 8111, 560, 819, 454, 9961, 1686, 267, 7314, 723, 5129, 3309, 5107, 538, 18691, 543, 22530, 819, 269, 769, 10120, 2342, 267, 741, 27248, 6208, 543, 4830, 2470, 3366, 547, 12205, 609, 31783, 543, 519, 16750, 563, 14937, 7314, 3090, 1242, 31783, 543, 796, 331, 3089, 1465, 269, 654, 3558, 6968, 338, 26884, 543, 7166, 7314, 1317, 540, 713, 1523, 563, 17843, 5380, 7153, 11992, 269, 5545, 1004, 5156, 7314, 6870, 873, 689, 9409, 543, 4547, 9939, 269, 589, 6928, 779, 3032, 729, 849, 5156, 547, 3142, 25501, 9939, 543, 2327, 741, 3106, 563, 305, 10718, 540, 519, 9697, 454, 2005, 729, 1282, 519, 11193, 602, 1004, 3323, 547, 1871, 7314, 607, 10130, 1586, 269, 2368, 5159, 267, 899, 28167, 13005, 30058, 267, 4718, 741, 5898, 543, 11419, 543, 13556, 1568, 602, 4951, 621, 269, 901, 3860, 25174, 5949, 693, 519, 1482, 942, 607, 513, 1689, 538, 2528, 281, 7314, 4682, 689, 1373, 1175, 11641, 1852, 547, 11537, 10130, 563, 4415, 519, 4473, 540, 513, 811, 3413, 23308, 543, 4683, 2486, 267, 1004, 3459, 547, 1832, 7314, 9003, 585, 31070, 2864, 982, 3351, 9107, 5301, 269, 901, 6825, 519, 4098, 540, 519, 2413, 5736, 538, 519, 1480, 2275, 520, 2078, 563, 1103, 519, 476, 2641, 560, 2540, 267, 7314, 723, 2781, 7757, 741, 4567, 607, 11537, 1920, 2818, 269, 634, 4417, 540, 519, 4950, 814, 5129, 513, 11358, 1909, 538, 713, 267, 607, 3032, 7044, 543, 1509, 525, 723, 3144, 519, 2228, 1158, 676, 7088, 269, 9697, 12439, 689, 1472, 519, 8608, 2671, 741, 26804, 15274, 685, 1439, 8960, 1884, 923, 267, 8108, 513, 2518, 2146, 540, 3032, 18798, 563, 290, 1846, 685, 13916, 547, 1585, 2713, 3871, 267, 689, 838, 20160, 5321, 547, 18241, 6306, 906, 267, 2306, 873, 4998, 10130, 585, 2043, 543, 3885, 7567, 269, 4256, 4830, 2943, 15754, 622, 2470, 16716, 513, 3666, 602, 24889, 609, 1004, 540, 782, 6502, 563, 763, 634, 8427, 8830, 337, 454, 19741, 31070, 267, 7314, 2709, 3407, 9354, 2640, 269, 634, 25695, 3280, 540, 513, 3032, 779, 1625, 337, 814, 1044, 3254, 547, 2569, 2566, 267, 4160, 267, 543, 4965, 538, 3425, 269, 901, 2067, 22196, 1198, 814, 3366, 547, 519, 11944, 540, 3032, 3797, 3292, 538, 3782, 5468, 267, 1141, 8036, 3797, 7314, 1683, 4313, 547, 2550, 543, 7264, 563, 763, 2241, 957, 540, 4620, 1154, 513, 3032, 666, 5305, 1439, 6973, 1231, 543, 3895, 11005, 267, 1818, 7314, 17170, 15274, 585, 1346, 6849, 2168, 610, 3929, 2591, 563, 293, 5202, 26859, 281, 12815, 543, 10558, 454, 9961, 1686, 267, 7314, 723, 3254, 602, 789, 616, 3730, 267, 543, 789, 1869, 798, 269, 769, 3504, 7239, 267, 789, 6854, 23224, 856, 540, 11491, 2456, 865, 602, 1271, 1426, 8637, 1131, 3251, 2922, 269, 4634, 1498, 2413, 2081, 540, 3478, 7759, 540, 10860, 723, 4957, 267, 7314, 616, 1869, 1434, 693, 10122, 23224, 543, 616, 606, 10357, 7888, 1259, 547, 1832, 5321, 543, 4610, 887, 4823, 6954, 563, 763, 2805, 7314, 3643, 10506, 267, 8808, 5321, 267, 543, 3506, 547, 9350, 543, 12257, 2550, 269, 4256, 9543, 4527, 543, 14955, 6463, 15754, 723, 513, 7096, 1764, 593, 2043, 6849, 2352, 6381, 563, 763, 1686, 540, 519, 2078, 1063, 7314, 543, 1004, 568, 513, 3638, 13795, 540, 30398, 267, 27527, 267, 543, 31070, 269, 3245, 741, 12357, 8129, 547, 741, 10723, 4567, 538, 3504, 5527, 543, 741, 25174, 607, 19644, 10130, 267, 7314, 723, 2451, 606, 30170, 1665, 593, 1480, 1686, 269, 4653, 267, 789, 3136, 547, 3142, 7772, 267, 4313, 267, 543, 9354, 2640, 547, 938, 2729, 267, 18445, 602, 741, 2189, 6125, 609, 3425, 568, 5963, 15851, 269, 0, 29272, 2623, 3776, 17681, 7314, 723, 1044, 22539, 721, 609, 741, 1093, 1047, 267, 7793, 1664, 267, 543, 11419, 585, 5481, 1631, 269, 1452, 1950, 7919, 723, 2189, 11994, 543, 26756, 602, 723, 5280, 873, 8853, 1312, 538, 519, 3552, 543, 27057, 267, 607, 938, 11537, 10130, 267, 898, 779, 2629, 547, 5431, 602, 11543, 5813, 883, 26804, 2623, 568, 1883, 547, 2870, 6209, 8090, 609, 707, 4620, 563, 3528, 28798, 538, 593, 741, 2189, 6208, 543, 21274, 267, 596, 3580, 581, 2111, 547, 1174, 1946, 789, 798, 1978, 1919, 563, 1103, 713, 2376, 267, 649, 786, 2232, 930, 1455, 20887, 7282, 968, 4692, 7314, 581, 8322, 1235, 286, 5608, 649, 786, 581, 3695, 875, 596, 666, 10646, 4250, 689, 7130, 2676, 8139, 634, 3163, 19992, 9697, 2776, 325, 3720, 454, 2791, 949, 581, 14281, 693, 1946, 707, 3032, 27422, 707, 887, 2174, 622, 610, 1178, 10903, 919, 4724, 10612, 2973, 619, 610, 2127, 630, 15290, 6972, 873, 25793, 14414, 1040, 3776, 7314, 899, 741, 7375, 267, 543, 1620, 519, 2257, 3297, 873, 666, 948, 596, 6125, 609, 873, 563, 306, 1417, 23779, 543, 4889, 725, 454, 763, 20416, 6284, 540, 7314, 568, 1454, 811, 3532, 982, 3425, 267, 543, 713, 4249, 513, 1909, 538, 875, 938, 535, 7875, 28320, 13498, 519, 1158, 1472, 873, 269, 4256, 9224, 568, 1031, 547, 5531, 1344, 827, 741, 1604, 267, 543, 1085, 757, 666, 3142, 1394, 8823, 610, 4664, 563, 2690, 3236, 267, 707, 3032, 568, 2469, 547, 12314, 519, 20416, 540, 513, 1268, 945, 3947, 621, 13000, 543, 524, 3291, 956, 609, 513, 2318, 1995, 269, 2755, 14542, 1085, 757, 610, 519, 20416, 540, 513, 1268, 945, 13032, 625, 610, 3085, 1406, 1416, 827, 519, 3032, 1522, 1118, 519, 3032, 13943, 610, 31604, 269, 9796, 532, 3007, 547, 875, 707, 3032, 23465, 547, 3309, 1085, 757, 786, 2285, 596, 3638, 4030, 883, 707, 3032, 779, 7375, 563, 293, 13399, 640, 543, 11565, 454, 290, 1846, 4782, 5432, 1004, 543, 10450, 281, 713, 1397, 602, 3972, 1404, 513, 1360, 2462, 1909, 538, 875, 789, 1020, 741, 7554, 543, 2078, 267, 799, 3217, 942, 547, 1628, 269, 4495, 513, 3032, 7959, 6899, 543, 5150, 609, 513, 1268, 267, 621, 786, 2693, 581, 15754, 622, 543, 1914, 762, 609, 602, 1268, 563, 294, 1516, 519, 3032, 942, 543, 2230, 547, 1020, 713, 3972, 538, 741, 1378, 942, 568, 1360, 1898, 269, 13705, 710, 610, 2949, 11007, 538, 519, 4205, 609, 707, 3032, 2141, 4422, 513, 1279, 1259, 538, 9591, 2178, 7554, 563, 303, 770, 23800, 1744, 12686, 10263, 454, 12024, 3425, 267, 7314, 685, 2250, 2833, 3337, 741, 2623, 543, 7375, 269, 589, 16990, 1995, 609, 513, 1268, 609, 513, 1978, 16023, 610, 7209, 630, 1952, 30970, 267, 20416, 267, 5639, 267, 610, 1106, 540, 15754, 264, 949, 1689, 875, 17841, 707, 3032, 568, 547, 1866, 609, 1346, 7592, 563, 5475, 513, 15779, 2680, 267, 707, 4620, 786, 1831, 18901, 543, 2057, 7606, 945, 7618, 621, 540, 621, 269, 898, 568, 14063, 547, 917, 707, 3032, 779, 1686, 547, 948, 596, 30082, 4308, 609, 1761, 12153, 609, 9639, 543, 8417, 563, 4692, 19949, 2142, 13787, 1235, 888, 15919, 267, 1004, 17399, 14688, 12314, 519, 6547, 540, 741, 3032, 547, 1004, 540, 3309, 6803, 885, 610, 10080, 267, 609, 1373, 968, 2350, 626, 2223, 855, 538, 4641, 267, 519, 3032, 568, 1175, 1373, 12922, 263, 553, 513, 1267, 540, 3668, 540, 23462, 267, 610, 607, 513, 1267, 540, 513, 2250, 3983, 1995, 264, 610, 6766, 676, 519, 8227, 779, 4978, 610, 3527, 1472, 1004, 540, 971, 6803, 885, 269, 2630, 649, 786, 2263, 519, 4128, 3297, 713, 9583, 22457, 2623, 540, 707, 3032, 563, 18850, 3907, 5109, 21824, 3245, 26521, 454, 7312, 3032, 3112, 1174, 5198, 267, 3976, 6031, 621, 568, 22457, 568, 7301, 269, 32641, 568, 4250, 543, 14542, 640, 269, 1306, 649, 4121, 1354, 267, 7314, 946, 20416, 6284, 543, 2250, 2833, 547, 1921, 609, 1004, 563, 2252, 707, 3032, 7012, 1406, 1514, 1242, 543, 18387, 1406, 1558, 1082, 1114, 1004, 267, 621, 949, 581, 12922, 540, 1007, 1004, 269, 898, 779, 711, 14882, 267, 855, 606, 31007, 547, 581, 18762, 538, 8966, 5468, 267, 899, 950, 789, 7237, 513, 18723, 563, 14813, 26475, 540, 13574, 518, 10263, 543, 27801, 338, 454, 290, 1846, 267, 610, 938, 10130, 538, 2489, 666, 581, 11212, 829, 21082, 543, 666, 4584, 909, 593, 938, 5615, 543, 4664, 563, 2252, 596, 6542, 2566, 610, 9636, 609, 1880, 1004, 267, 707, 7314, 949, 4584, 909, 593, 602, 543, 1831, 530, 776, 540, 873, 563, 2108, 290, 1846, 11753, 3308, 543, 17391, 6786, 547, 5431, 1480, 543, 931, 24594, 4664, 543, 789, 2408, 547, 1110, 3634, 741, 2623, 2687, 547, 519, 32447, 540, 519, 7553, 9228, 892, 538, 6583, 4364, 269, 2142, 3222, 602, 707, 12886, 949, 1860, 707, 3032, 779, 2623, 269, 9861, 1930, 543, 22205, 547, 1004, 540, 1114, 10080, 267, 543, 14940, 267, 786, 1118, 707, 3032, 1451, 519, 1482, 563, 290, 1846, 666, 849, 581, 6213, 547, 3604, 538, 4529, 267, 971, 607, 519, 9660, 789, 5957, 267, 1085, 757, 267, 610, 1560, 1893, 563, 2252, 707, 3032, 814, 2760, 2938, 2576, 5957, 513, 2212, 10077, 325, 610, 11058, 267, 789, 949, 581, 530, 776, 563, 8923, 4063, 602, 707, 3032, 779, 6547, 616, 711, 22457, 267, 855, 2864, 513, 3210, 547, 1945, 1007, 269, 28038, 707, 3032, 547, 1114, 1004, 543, 2833, 786, 1118, 873, 811, 17841, 543, 8465, 563, 21886, 15758, 2318, 23462, 538, 7314, 454, 290, 738, 22899, 2318, 23462, 538, 707, 535, 7875, 17879, 568, 11358, 538, 4180, 596, 723, 513, 1134, 14194, 3286, 539, 267, 8746, 267, 543, 7874, 3032, 607, 789, 1332, 269, 1411, 666, 946, 519, 2630, 2994, 547, 5351, 707, 3032, 1831, 811, 32615, 547, 3309, 3871, 543, 1004, 563, 27735, 540, 2038, 23462, 454, 25791, 1436, 568, 513, 1875, 268, 10864, 582, 4192, 2460, 540, 513, 3032, 779, 1646, 267, 2523, 693, 519, 2038, 5933, 540, 741, 2729, 563, 298, 8636, 839, 616, 811, 32615, 547, 1007, 4992, 267, 1004, 267, 24738, 267, 543, 24462, 1063, 476, 273, 543, 476, 278, 4374, 269, 19949, 1831, 811, 8746, 267, 8465, 267, 543, 1447, 12922, 676, 1373, 6534, 547, 3309, 5468, 543, 1004, 563, 2414, 948, 707, 3032, 1745, 6899, 1472, 1007, 1004, 267, 8007, 873, 609, 13000, 267, 17192, 267, 610, 15754, 543, 7930, 2333, 519, 6988, 540, 741, 1514, 4205, 563, 11754, 7675, 543, 1763, 6295, 13311, 20409, 12542, 454, 1432, 949, 723, 4547, 596, 547, 713, 1888, 568, 6157, 707, 3032, 779, 4159, 540, 13311, 5615, 971, 607, 4250, 610, 14699, 2509, 1978, 1004, 267, 543, 519, 2630, 3391, 666, 948, 596, 8207, 713, 3390, 563, 32575, 519, 17848, 2014, 454, 9359, 676, 6313, 634, 5817, 2014, 540, 519, 2623, 269, 6875, 883, 7156, 2188, 971, 607, 519, 3032, 779, 2250, 1995, 267, 2825, 12153, 267, 543, 14542, 640, 269, 898, 568, 1271, 547, 1921, 609, 519, 5133, 540, 707, 3032, 609, 606, 1620, 602, 741, 19888, 1600, 5615, 6565, 689, 606, 15859, 783, 3210, 543, 711, 899, 789, 723, 513, 9709, 856, 17351, 8247, 547, 25793, 1662, 563, 6826, 8326, 14842, 26435, 454, 5475, 4466, 519, 1966, 267, 8415, 2623, 14842, 547, 948, 707, 3032, 7753, 741, 4145, 269, 2677, 31731, 1436, 543, 4831, 8410, 1288, 532, 616, 1250, 979, 3562, 12485, 585, 13311, 6208, 543, 960, 1134, 563, 5327, 31731, 1436, 7930, 12857, 707, 3032, 547, 12153, 267, 1247, 4831, 8410, 1288, 532, 8424, 12153, 609, 2318, 15128, 899, 13000, 630, 16451, 2763, 1673, 3072, 14132, 6797, 267, 561, 1157, 1319, 13000, 267, 610, 707, 3032, 779, 9053, 13000, 264, 610, 17192, 547, 1711, 513, 1007, 2318, 7681, 563, 5353, 22701, 634, 6435, 2986, 589, 12333, 454, 2252, 519, 13311, 2623, 26251, 610, 3587, 1256, 8338, 267, 621, 779, 942, 547, 3343, 519, 948, 540, 513, 17022, 610, 513, 14468, 3662, 2623, 626, 269, 1358, 786, 1683, 519, 1655, 3407, 5583, 547, 948, 1205, 707, 3032, 593, 3950, 563, 6701, 19949, 13787, 626, 286, 15937, 32438, 454, 290, 1846, 616, 711, 22457, 282, 596, 1175, 991, 547, 1174, 741, 2623, 543, 1018, 7506, 873, 563, 31339, 23462, 267, 20392, 519, 3032, 547, 1007, 2833, 267, 543, 20547, 18473, 6208, 666, 948, 707, 3032, 1332, 1447, 18901, 543, 811, 17841, 547, 1007, 1004, 543, 6381, 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 ]
[ 269, 2048, 13349, 2897, 685, 568, 513, 8144, 540, 519, 5824, 8360, 30580, 1209, 529, 799, 1797, 2048, 320, 6249, 610, 4661, 540, 2489, 3498, 9957, 901, 3312, 4214, 814, 1044, 9450, 547, 1631, 1611, 513, 4015, 540, 2326, 593, 513, 1978, 6249, 676, 606, 1367, 269, 12830, 569, 267, 28125, 2835, 616, 711, 1019, 2456, 610, 13746, 267, 607, 789, 616, 11295, 873, 5597, 2864, 982, 12225, 10999, 267, 543, 798, 711, 8209, 9305, 547, 519, 2123, 2729, 540, 741, 735, 32078, 269, 1635, 519, 476, 1704, 628, 11416, 267, 1455, 680, 5217, 729, 11342, 2614, 547, 581, 18005, 6026, 693, 4025, 971, 607, 10228, 2160, 267, 543, 972, 568, 513, 2178, 2245, 540, 5339, 5515, 971, 607, 3627, 29859, 267, 4460, 30805, 543, 7338, 10434, 344, 735, 4979, 873, 563, 2467, 616, 1079, 28125, 2835, 10362, 547, 7917, 31293, 538, 6228, 269, 634, 1101, 267, 13175, 538, 476, 9965, 274, 267, 729, 3592, 6157, 711, 5497, 585, 8313, 267, 543, 13366, 24044, 538, 5239, 476, 9965, 276, 269, 634, 2034, 267, 13175, 538, 25470, 538, 476, 9965, 278, 543, 3006, 5219, 547, 607, 519, 25470, 4750, 267, 814, 1082, 4277, 13366, 1519, 2038, 8747, 540, 519, 645, 731, 779, 9954, 543, 1660, 902, 593, 1004, 646, 6785, 269, 2201, 922, 1101, 2985, 267, 31293, 6941, 1010, 7287, 547, 2594, 1010, 2833, 538, 25470, 630, 3602, 646, 1185, 1175, 6410, 1070, 543, 1010, 7422, 593, 519, 1004, 646, 814, 1558, 267, 1247, 789, 616, 1869, 4195, 538, 1010, 2247, 269, 1261, 10530, 22630, 267, 6031, 2048, 327, 2788, 513, 2262, 6378, 2390, 2507, 568, 4502, 513, 7047, 4452, 540, 973, 565, 3005, 685, 6029, 1010, 13283, 585, 519, 2854, 2262, 936, 3965, 563, 301, 792, 519, 4098, 540, 519, 3883, 267, 31293, 6238, 513, 4901, 11341, 547, 1010, 19121, 267, 519, 23778, 540, 3794, 16780, 1515, 333, 267, 543, 561, 14613, 519, 1249, 602, 513, 812, 609, 2370, 13007, 543, 1164, 1514, 4567, 630, 1492, 23778, 264, 1131, 6923, 581, 5701, 609, 811, 2463, 982, 513, 812, 540, 21184, 855, 1970, 1514, 4567, 1813, 547, 606, 8009, 540, 4332, 269, 1261, 3081, 267, 609, 2147, 18941, 547, 1010, 960, 2048, 288, 2494, 779, 513, 2494, 585, 513, 685, 2334, 685, 912, 5331, 513, 812, 540, 5759, 267, 1010, 6089, 30437, 609, 9237, 11348, 267, 6857, 602, 2367, 616, 4535, 3160, 267, 1869, 4758, 602, 968, 327, 517, 528, 547, 7247, 8956, 568, 1813, 31865, 646, 10742, 607, 513, 4279, 812, 779, 3349, 513, 8293, 790, 23985, 267, 610, 513, 11184, 2368, 7853, 282, 646, 6487, 519, 15626, 28867, 867, 693, 2295, 17188, 3947, 519, 645, 731, 610, 1018, 268, 2479, 646, 568, 267, 513, 4110, 522, 2671, 540, 1010, 1434, 16858, 3564, 1022, 693, 3349, 5310, 267, 2943, 875, 786, 621, 6180, 1518, 1864, 547, 1294, 513, 8284, 4171, 5759, 1131, 17077, 569, 723, 1500, 606, 5216, 29784, 13177, 543, 4171, 2295, 568, 711, 4502, 1614, 2484, 628, 902, 2743, 609, 3007, 543, 5469, 602, 616, 29709, 547, 519, 12312, 540, 2637, 3780, 543, 24770, 888, 289, 5281, 1281, 21334, 547, 1373, 14324, 267, 2705, 267, 1317, 3794, 16780, 1515, 333, 729, 865, 16990, 547, 1864, 950, 789, 1558, 563, 9827, 2282, 519, 1376, 540, 519, 1433, 568, 513, 1101, 8908, 540, 519, 5152, 2048, 305, 656, 514, 685, 681, 990, 514, 685, 28120, 685, 13288, 547, 519, 10071, 538, 799, 519, 575, 762, 1439, 540, 31293, 595, 2714, 720, 6926, 342, 1524, 1282, 513, 7088, 538, 519, 1101, 1906, 4374, 540, 7917, 779, 1272, 269, 21452, 267, 538, 713, 4528, 267, 519, 6679, 1899, 568, 2048, 2467, 729, 513, 2840, 330, 773, 4535, 538, 918, 1803, 16224, 607, 10353, 547, 2048, 11004, 729, 513, 17078, 729, 4535, 538, 918, 1803, 9957, 1703, 616, 1287, 1079, 8747, 540, 513, 6648, 2854, 538, 2961, 572, 19555, 5146, 593, 4873, 476, 272, 560, 476, 9965, 279, 267, 609, 513, 4063, 22290, 519, 1101, 8908, 4051, 532, 519, 5467, 547, 3079, 1224, 519, 2034, 8908, 2417, 883, 519, 1433, 269, 1703, 568, 849, 513, 8908, 540, 1010, 811, 4583, 6648, 267, 2201, 7487, 513, 20754, 688, 516, 267, 2059, 609, 824, 4967, 593, 1010, 1568, 563, 289, 5281, 779, 2034, 28125, 1433, 568, 593, 4159, 538, 938, 9754, 4015, 543, 568, 513, 4241, 5813, 883, 930, 540, 519, 645, 731, 779, 2123, 4555, 267, 543, 849, 593, 875, 646, 31751, 1010, 9954, 269, 1284, 4898, 875, 1082, 540, 938, 3988, 1832, 16150, 9248, 540, 713, 2186, 888, 763, 3860, 15421, 540, 7917, 31293, 6905, 3564, 1010, 6965, 543, 8964, 950, 646, 4956, 547, 1374, 1010, 1378, 13021, 538, 476, 9692, 275, 269, 769, 519, 10120, 5736, 513, 3983, 613, 899, 713, 1131, 723, 1185, 18211, 7095, 610, 2113, 10560, 2065, 8129, 269, 1924, 1946, 1705, 513, 18803, 16027, 10564, 267, 945, 729, 513, 1825, 591, 538, 2648, 2864, 982, 2112, 267, 1616, 513, 10359, 540, 7916, 286, 31293, 779, 5137, 666, 581, 2938, 29501, 539, 538, 6309, 5459, 14589, 543, 593, 1010, 13021, 5119, 1369, 519, 14266, 4015, 693, 7917, 31293, 17510, 2897, 7467, 269, 901, 13021, 729, 513, 1857, 17083, 602, 31293, 2808, 5128, 3160, 547, 1022, 15626, 2006, 267, 543, 713, 1131, 723, 2016, 513, 2312, 5365, 547, 1022, 602, 1131, 723, 2938, 621, 269, 901, 729, 606, 1271, 18351, 540, 2123, 543, 22686, 3961, 585, 31293, 267, 799, 646, 1131, 723, 29501, 539, 5196, 1010, 5022, 563, 289, 5281, 4956, 547, 6451, 1079, 2138, 1729, 525, 1369, 1010, 13021, 269, 2048, 24841, 268, 17084, 3552, 685, 568, 27485, 2066, 519, 1283, 540, 519, 13021, 267, 15029, 2059, 519, 5377, 972, 568, 519, 8360, 2048, 289, 21392, 513, 649, 324, 17382, 982, 562, 2801, 536, 1752, 685, 630, 338, 3559, 614, 1040, 634, 1101, 30115, 1223, 581, 1129, 16226, 875, 2470, 814, 1419, 1044, 606, 1271, 6667, 538, 1010, 1272, 267, 1312, 11617, 543, 1660, 1227, 269, 1261, 1419, 1767, 1010, 7385, 14639, 1185, 519, 6653, 652, 3574, 268, 17084, 3552, 13465, 5639, 269, 769, 519, 2034, 2138, 1729, 31293, 1223, 581, 10223, 1010, 12194, 540, 26683, 602, 4749, 20807, 539, 1864, 2509, 519, 1439, 540, 1010, 1272, 269, 901, 19595, 721, 547, 2463, 12624, 7186, 267, 607, 1352, 666, 581, 513, 9675, 585, 513, 649, 324, 544, 748, 773, 547, 782, 18495, 607, 1134, 269, 769, 519, 8998, 540, 891, 1079, 2138, 1729, 525, 31293, 814, 5116, 513, 1352, 23311, 779, 5186, 758, 543, 10612, 267, 1129, 16226, 1010, 15400, 4276, 547, 2470, 998, 1010, 6694, 4282, 563, 3080, 540, 519, 1292, 2609, 538, 1010, 1374, 568, 513, 4591, 569, 10326, 693, 519, 5377, 269, 12344, 7917, 31293, 4941, 547, 4159, 1010, 2648, 540, 2470, 30326, 267, 610, 5310, 972, 568, 1776, 4494, 540, 2495, 547, 2015, 269, 769, 22469, 13299, 513, 4591, 569, 10326, 729, 513, 27369, 538, 519, 4158, 267, 5162, 3275, 269, 898, 729, 2938, 676, 519, 1004, 607, 513, 3090, 540, 4708, 543, 1434, 15884, 269, 5015, 267, 519, 667, 745, 1749, 5156, 602, 4591, 569, 22234, 8825, 7907, 543, 602, 621, 1223, 9856, 1996, 3983, 9939, 543, 9409, 14326, 269, 4475, 267, 713, 1223, 581, 31293, 11291, 532, 1010, 942, 607, 513, 1126, 950, 646, 4862, 2984, 540, 18691, 543, 22530, 819, 689, 1010, 3993, 543, 5975, 1399, 5096, 1749, 517, 563, 288, 3574, 331, 1046, 568, 513, 3090, 540, 17869, 6888, 543, 7772, 1256, 538, 519, 10782, 540, 2053, 267, 1945, 602, 31293, 1131, 723, 1644, 547, 607, 1010, 1378, 14326, 9782, 543, 8593, 2429, 1010, 1272, 269, 1809, 519, 16726, 1063, 31293, 543, 519, 3574, 331, 1046, 1281, 711, 1439, 972, 267, 2094, 713, 1880, 5152, 6177, 666, 17932, 543, 3314, 824, 5017, 685, 8964, 269, 31293, 729, 513, 1390, 24158, 540, 8964, 543, 2575, 2094, 7911, 3125, 267, 865, 538, 1931, 547, 8190, 519, 2757, 8964, 540, 1010, 11537, 10430, 282, 31293, 6131, 5128, 547, 10655, 873, 269, 1452, 941, 10356, 1927, 543, 3370, 538, 606, 16320, 1108, 1572, 29703, 28042, 7467, 676, 6276, 9652, 936, 1896, 1296, 563, 1103, 519, 14656, 8717, 540, 519, 22733, 2540, 267, 4901, 593, 14081, 22675, 543, 7862, 941, 20833, 678, 1057, 2055, 269, 7917, 31293, 1705, 711, 2743, 519, 4170, 547, 8917, 282, 607, 971, 646, 1031, 1010, 4050, 543, 5639, 547, 4161, 519, 2797, 6392, 540, 519, 942, 269, 769, 1010, 13021, 5119, 31293, 814, 5116, 513, 3574, 331, 1046, 2390, 513, 7936, 540, 15922, 3762, 269, 769, 4936, 13299, 15922, 3762, 941, 1726, 25979, 676, 519, 29331, 267, 607, 741, 31750, 540, 15922, 3762, 25664, 539, 741, 1164, 4567, 543, 18710, 269, 1635, 11093, 513, 3574, 331, 1046, 267, 513, 5152, 6177, 899, 5128, 593, 1283, 540, 519, 7936, 267, 31293, 1223, 581, 3843, 547, 2161, 1010, 5639, 814, 3152, 1494, 1890, 1287, 519, 3964, 6392, 269, 769, 1840, 547, 713, 267, 621, 1223, 849, 581, 14648, 607, 513, 1106, 540, 23769, 2044, 267, 607, 513, 2582, 5152, 12704, 1223, 24183, 519, 18710, 540, 1346, 538, 1379, 609, 1010, 5639, 4805, 563, 289, 5281, 22393, 11368, 2789, 6106, 540, 2495, 1369, 1896, 540, 1010, 10564, 673, 1568, 267, 543, 713, 17117, 540, 24320, 2358, 1010, 3020, 9837, 1223, 849, 581, 1767, 585, 1010, 13021, 269, 9894, 646, 3442, 891, 6698, 607, 513, 1259, 540, 6029, 519, 1158, 875, 646, 4718, 5128, 610, 875, 1866, 4718, 1864, 286, 6787, 596, 3494, 891, 6698, 723, 2789, 10096, 610, 711, 267, 621, 1869, 2488, 606, 5813, 883, 875, 31293, 4941, 547, 581, 17814, 543, 15422, 269, 1261, 729, 513, 24158, 540, 2470, 543, 5152, 267, 543, 1256, 538, 1010, 4463, 540, 8560, 10838, 519, 2148, 10620, 540, 25470, 646, 2760, 29709, 1010, 8105, 5072, 267, 799, 568, 10423, 538, 519, 1352, 23311, 779, 10612, 543, 5186, 758, 538, 519, 8998, 269, 11048, 7917, 31293, 729, 513, 812, 711, 12922, 547, 29954, 790, 3564, 1010, 9277, 1362, 267, 543, 713, 1507, 13021, 543, 14589, 12705, 568, 2963, 540, 713, 563, 3528, 918, 1009, 773, 29078, 5069, 454, 8072, 15987, 594, 993, 2484, 689, 2495, 547, 5635, 938, 15309, 545, 536, 731, 547, 9956, 267, 2943, 945, 1197, 786, 1224, 1010, 14402, 543, 811, 14973, 9954, 267, 2560, 2073, 786, 13498, 609, 1018, 16613, 21774, 543, 29345, 13369, 713, 13140, 6026, 726, 965, 2006, 267, 689, 1010, 18803, 25793, 1777, 1229, 6728, 267, 814, 6743, 2390, 2367, 543, 25654, 269, 1107, 8361, 5839, 298, 20044, 773, 454, 4263, 519, 2085, 540, 476, 277, 267, 513, 1762, 7917, 31293, 729, 2366, 547, 1153, 693, 14190, 599, 7085, 547, 581, 6026, 676, 513, 5261, 23720, 269, 634, 645, 731, 779, 4651, 267, 5261, 22210, 525, 267, 729, 513, 1390, 1825, 591, 538, 1010, 1453, 779, 2069, 543, 4941, 547, 2327, 789, 4607, 1697, 18375, 269, 10251, 713, 729, 547, 6961, 16602, 607, 23720, 519, 8498, 2451, 16172, 19952, 269, 3502, 547, 581, 15658, 1042, 267, 5261, 22210, 525, 14059, 589, 10455, 18049, 3427, 543, 16761, 513, 4357, 20131, 267, 3627, 12653, 4777, 577, 267, 547, 4001, 1010, 8695, 7258, 476, 275, 824, 3885, 538, 519, 8498, 267, 543, 547, 1491, 7140, 547, 4604, 538, 1142, 540, 741, 8075, 563, 300, 584, 4777, 577, 729, 513, 1762, 812, 540, 29933, 5128, 267, 855, 13351, 909, 513, 6109, 11505, 609, 5261, 543, 10150, 3450, 519, 8695, 269, 4634, 1310, 519, 1920, 2451, 31293, 595, 2714, 720, 267, 789, 4797, 547, 7390, 12653, 4777, 577, 779, 1153, 538, 519, 8498, 585, 1079, 1296, 269, 2311, 713, 1448, 267, 12653, 4777, 577, 2451, 519, 1858, 267, 855, 8120, 538, 476, 10082, 273, 543, 6026, 7917, 31293, 2417, 267, 3226, 3943, 543, 2296, 8239, 269, 1261, 849, 22064, 1864, 519, 1568, 540, 12138, 15352, 267, 7247, 31293, 10530, 4749, 538, 7766, 5022, 543, 25343, 7494, 563, 294, 559, 6975, 31293, 5206, 14916, 593, 1010, 5449, 4116, 267, 543, 17099, 1864, 609, 11121, 7917, 779, 2648, 540, 2542, 912, 8072, 4415, 1864, 649, 4121, 547, 1224, 2296, 7109, 2406, 1134, 282, 543, 547, 2328, 513, 2370, 269, 1261, 6026, 721, 267, 1932, 267, 519, 2296, 8239, 282, 855, 7917, 1500, 930, 15334, 538, 621, 267, 513, 25896, 540, 9645, 2597, 538, 519, 11200, 532, 540, 1010, 21184, 543, 1915, 282, 607, 646, 4166, 2968, 7415, 585, 519, 21711, 543, 2953, 1145, 540, 1010, 4082, 267, 543, 1224, 519, 1906, 2835, 602, 3357, 538, 1010, 1259, 609, 1454, 12257, 543, 6454, 282, 585, 1256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1305, 540, 8815, 593, 21501, 4441, 602, 1683, 5583, 543, 7413, 7526, 538, 8847, 269, 5269, 2386, 3025, 7959, 2922, 269, 634, 2666, 3652, 941, 9788, 1524, 538, 7195, 328, 585, 19142, 513, 2022, 11860, 344, 9369, 6876, 269, 1284, 20053, 547, 1020, 2123, 3347, 547, 3986, 3972, 543, 269, 2560, 3687, 574, 958, 267, 891, 1058, 1331, 6788, 827, 5401, 1145, 543, 711, 14443, 532, 950, 2576, 3116, 568, 6340, 269, 8281, 269, 22544, 4863, 2209, 1419, 3715, 2666, 3652, 693, 519, 4098, 540, 519, 13186, 269, 589, 2916, 540, 3972, 543, 4313, 568, 1898, 585, 6596, 4901, 269, 6201, 540, 2666, 3652, 602, 723, 1044, 610, 616, 1869, 538, 2101, 21597, 3440, 1706, 802, 1331, 281, 674, 523, 3118, 5244, 630, 289, 10667, 4414, 1924, 343, 264, 1107, 589, 8038, 3440, 602, 16716, 519, 1283, 540, 519, 21117, 593, 519, 5682, 30947, 543, 1287, 536, 25555, 856, 540, 1404, 568, 1079, 630, 273, 264, 13279, 269, 2991, 3025, 814, 7396, 741, 2093, 267, 2307, 952, 972, 616, 1022, 3652, 602, 789, 3112, 2661, 609, 610, 1489, 269, 7844, 16390, 540, 25477, 7151, 269, 1677, 581, 2500, 267, 2666, 3652, 1590, 581, 2312, 267, 5812, 267, 8815, 3562, 267, 543, 4553, 269, 16140, 3652, 616, 513, 2110, 1592, 540, 6788, 547, 3391, 875, 513, 1895, 1568, 1927, 269, 11020, 10445, 532, 3436, 17072, 281, 26566, 777, 632, 13744, 613, 267, 15503, 267, 13814, 1548, 616, 16140, 16390, 286, 1133, 3711, 27631, 9086, 1590, 581, 4547, 538, 602, 23933, 1524, 519, 1482, 2666, 3652, 585, 3025, 269, 1284, 782, 723, 3652, 16382, 649, 979, 543, 538, 513, 26229, 4928, 1256, 519, 4116, 568, 711, 4761, 547, 891, 269, 1452, 1383, 3652, 616, 1759, 593, 930, 540, 519, 1034, 1455, 3652, 8098, 1231, 946, 2066, 1082, 2010, 540, 2516, 281, 2142, 9877, 543, 3938, 974, 748, 269, 13689, 593, 519, 1377, 540, 519, 1053, 596, 1223, 2491, 519, 2010, 540, 7180, 610, 946, 544, 830, 547, 1205, 707, 5048, 2066, 269, 6201, 540, 3652, 602, 4001, 3617, 2081, 547, 2170, 609, 1866, 281, 834, 18704, 707, 9162, 609, 707, 7015, 1701, 29321, 320, 24705, 17845, 333, 25556, 585, 600, 2374, 25279, 322, 573, 553, 607, 1036, 6652, 536, 27222, 545, 553, 16948, 513, 598, 1816, 14244, 632, 19804, 1035, 867, 334, 533, 6759, 338, 268, 5226, 3999, 334, 269, 898, 568, 849, 19624, 547, 2307, 782, 5171, 547, 2490, 1055, 741, 1591, 11436, 585, 519, 8653, 540, 519, 13186, 269, 3371, 616, 3732, 6700, 2666, 3652, 585, 25019, 5171, 281, 476, 272, 269, 25175, 949, 3717, 693, 519, 29541, 3349, 269, 16140, 3652, 616, 6898, 540, 2418, 543, 4808, 799, 513, 1895, 20964, 29596, 547, 948, 1367, 2818, 547, 6430, 875, 547, 957, 269, 4937, 4518, 16390, 7151, 269, 1879, 2175, 616, 9859, 267, 789, 1831, 519, 2666, 3652, 676, 799, 519, 2319, 786, 2932, 519, 7447, 269, 898, 26342, 2792, 7496, 543, 2488, 8815, 2390, 2553, 585, 20408, 971, 7496, 269, 834, 12648, 7140, 1247, 4730, 519, 3014, 1701, 1284, 786, 3343, 519, 5380, 540, 782, 676, 18136, 1142, 1268, 547, 3717, 269, 1403, 2666, 3652, 616, 2877, 267, 519, 1895, 568, 4440, 3833, 5827, 540, 23730, 922, 1378, 269, 25927, 725, 538, 2796, 540, 834, 3033, 3652, 257, 538, 2296, 6363, 3402, 689, 681, 1197, 810, 12745, 281, 27943, 4507, 1305, 519, 2666, 3652, 585, 6639, 946, 269, 2913, 781, 1521, 3025, 609, 2463, 269, 19372, 3652, 602, 3970, 707, 1126, 781, 16335, 543, 2780, 946, 543, 3652, 602, 5000, 3617, 28972, 269, 898, 4992, 899, 513, 2241, 2243, 267, 855, 972, 568, 811, 982, 835, 2626, 269, 6423, 782, 282, 7991, 2657, 543, 25682, 282, 9483, 4886, 282, 24184, 267, 2098, 11238, 267, 8092, 2422, 282, 8534, 543, 12287, 6773, 1547, 12243, 9716, 568, 513, 32563, 585, 7598, 891, 2666, 3652, 269, 20492, 544, 1600, 538, 6757, 2319, 6214, 1810, 1406, 723, 519, 1648, 547, 2844, 713, 2186, 540, 19642, 269, 1284, 2811, 782, 538, 713, 1927, 547, 1711, 513, 22205, 1604, 269, 1548, 568, 513, 2754, 286, 23875, 538, 891, 2666, 3652, 13054, 513, 3649, 1853, 540, 2359, 779, 610, 519, 5742, 781, 2924, 896, 519, 6465, 1393, 630, 276, 772, 2529, 5861, 269, 16140, 3652, 269, 7151, 22544, 16140, 16390, 630, 7468, 514, 3321, 281, 13832, 585, 30880, 264, 13129, 3848, 476, 277, 538, 21976, 676, 21664, 676, 31130, 717, 2714, 525, 323, 1329, 518, 267, 5410, 2581, 8862, 525, 2917, 267, 476, 1220, 273, 269, 1452, 2666, 3652, 616, 519, 3044, 585, 2623, 676, 799, 782, 3858, 547, 2507, 7151, 540, 12243, 16140, 16390, 269, 1403, 596, 723, 513, 1507, 1362, 630, 324, 3052, 269, 16140, 3652, 1469, 519, 3009, 540, 2932, 585, 513, 5870, 267, 7713, 519, 2623, 602, 781, 4397, 540, 782, 5870, 5171, 269, 16140, 3652, 616, 4808, 2813, 676, 519, 2319, 1895, 270, 5035, 270, 16766, 543, 7520, 606, 5790, 540, 1930, 2792, 269, 16140, 3652, 12172, 6788, 585, 2623, 538, 519, 5870, 269, 634, 2666, 3652, 849, 4766, 519, 25034, 675, 1377, 540, 519, 2079, 630, 328, 4318, 269, 7743, 14474, 1154, 543, 12474, 4886, 585, 31287, 4518, 16390, 269, 8073, 519, 16140, 16390, 8625, 269, 27814, 267, 2666, 3652, 616, 2813, 543, 8815, 547, 676, 519, 1004, 10283, 538, 519, 5870, 267, 1317, 2516, 811, 3362, 3398, 543, 705, 728, 676, 3652, 789, 4312, 1305, 2933, 269, 7300, 282, 12025, 281, 476, 6858, 22995, 269, 19672, 269, 4340, 547, 519, 8675, 267, 513, 2754, 568, 3274, 968, 320, 5010, 1870, 1848, 1733, 12241, 602, 949, 12777, 5581, 519, 2262, 267, 594, 1589, 649, 666, 782, 3858, 602, 621, 779, 1454, 811, 982, 602, 269, 634, 3017, 1063, 891, 1079, 568, 11495, 269, 24771, 3214, 949, 991, 3652, 827, 741, 11418, 269, 476, 275, 269, 18838, 676, 9375, 17397, 593, 5437, 476, 2641, 267, 476, 1220, 278, 4864, 476, 276, 267, 476, 1001, 273, 23680, 513, 6085, 269, 476, 272, 4700, 11137, 26787, 2666, 3652, 568, 835, 540, 519, 1101, 2238, 540, 4928, 543, 2319, 2679, 269, 476, 1321, 2006, 720, 2561, 476, 1321, 2006, 720, 17352, 28652, 269, 19672, 269, 12726, 16140, 16390, 585, 20260, 32468, 9911, 269, 13245, 9840, 616, 2067, 267, 855, 11587, 568, 2838, 269, 634, 2034, 3948, 6645, 596, 875, 547, 581, 8537, 267, 711, 1152, 602, 596, 1058, 269, 476, 273, 269, 853, 22326, 281, 1403, 972, 616, 2789, 1004, 16462, 547, 3717, 693, 519, 1482, 942, 267, 1287, 6318, 3946, 543, 7227, 547, 581, 1572, 593, 269, 634, 2165, 968, 29171, 15664, 892, 568, 12082, 13974, 547, 519, 2474, 968, 935, 322, 15664, 892, 543, 968, 704, 322, 15664, 1848, 589, 2370, 3787, 540, 2497, 786, 2327, 602, 596, 1205, 811, 2944, 267, 3728, 269, 16140, 16390, 910, 5153, 676, 1900, 269, 6744, 585, 15716, 269, 901, 568, 513, 2241, 3561, 799, 666, 581, 4957, 1169, 21767, 610, 838, 11781, 610, 2556, 269, 21145, 281, 16743, 269, 9483, 543, 7991, 4886, 1547, 1403, 649, 1616, 519, 1453, 547, 581, 16614, 4600, 1287, 649, 1590, 849, 581, 713, 1259, 256, 5269, 2386, 596, 2594, 519, 2093, 593, 513, 16212, 24577, 585, 782, 547, 1294, 269, 634, 2666, 3652, 540, 1142, 674, 10933, 288, 1331, 513, 1305, 540, 1788, 5697, 5773, 282, 519, 10054, 593, 799, 519, 2079, 568, 1759, 282, 519, 8800, 602, 814, 1044, 3769, 543, 16934, 689, 519, 2079, 543, 519, 24117, 585, 519, 608, 7501, 269, 623, 16093, 713, 2034, 1383, 281, 1284, 786, 581, 8537, 540, 782, 9739, 269, 9105, 585, 18452, 269, 8307, 519, 8545, 24151, 621, 538, 513, 1259, 602, 568, 4052, 543, 6405, 269, 12315, 1053, 1806, 540, 2010, 540, 7180, 267, 543, 607, 513, 1895, 6430, 799, 6241, 547, 2322, 873, 538, 269, 9669, 585, 11120, 4106, 2209, 281, 9218, 282, 2859, 269, 0, 23087, 281, 634, 17692, 5723, 16572, 540, 519, 10794, 11225, 1688, 4252, 607, 968, 1492, 20982, 957, 540, 513, 6345, 1818, 3346, 609, 519, 3440, 609, 519, 1688, 610, 6186, 6100, 634, 3804, 24010, 568, 23614, 689, 713, 4341, 3330, 741, 15163, 1858, 267, 855, 814, 519, 1482, 9993, 607, 1022, 824, 6345, 3544, 741, 4216, 269, 589, 3440, 1055, 519, 13105, 568, 711, 1688, 4252, 563, 5415, 17502, 1356, 16390, 7435, 4252, 769, 634, 13340, 2592, 454, 763, 3652, 540, 13558, 1533, 602, 281, 968, 763, 5580, 10465, 540, 519, 6186, 568, 538, 1899, 609, 519, 5377, 540, 519, 818, 5404, 527, 1848, 269, 17692, 5723, 16572, 540, 519, 10794, 269, 901, 1797, 602, 952, 596, 1491, 513, 2786, 1899, 1472, 519, 6186, 689, 519, 818, 5404, 527, 267, 3388, 1657, 602, 1899, 568, 519, 13105, 267, 543, 3388, 2630, 568, 519, 6186, 563, 1103, 3592, 782, 6381, 5473, 1688, 27750, 513, 1463, 1863, 14736, 568, 13752, 267, 519, 1152, 9868, 1373, 950, 513, 3804, 24010, 862, 1080, 513, 1688, 4252, 538, 741, 1378, 4216, 269, 769, 713, 2013, 606, 9940, 1863, 14736, 568, 13752, 547, 519, 11685, 269, 14755, 8366, 532, 513, 1863, 14736, 267, 513, 22275, 324, 949, 849, 1616, 547, 1688, 856, 513, 5835, 610, 2699, 3556, 547, 519, 6345, 945, 8149, 519, 25213, 563, 2252, 707, 3946, 616, 7863, 707, 3068, 543, 519, 3440, 16125, 707, 3946, 267, 621, 779, 711, 1688, 4252, 269, 1403, 707, 3946, 941, 711, 538, 4395, 540, 707, 3068, 1287, 519, 3440, 1131, 3247, 950, 621, 5734, 707, 3068, 269, 1924, 596, 616, 711, 11543, 1022, 5413, 269, 2142, 6297, 1498, 267, 952, 707, 3946, 616, 7863, 707, 3068, 267, 707, 7916, 666, 581, 15738, 856, 2072, 563, 13775, 281, 476, 1556, 5412, 267, 476, 1001, 279, 269, 634, 1888, 540, 1688, 4252, 568, 606, 1419, 1543, 1190, 1858, 540, 519, 13558, 4341, 1504, 267, 799, 4667, 547, 581, 3238, 538, 930, 1106, 540, 11786, 10071, 593, 606, 3592, 12353, 4493, 269, 674, 9281, 288, 267, 519, 1158, 13558, 12044, 1560, 267, 1281, 711, 5581, 519, 2165, 1688, 4252, 538, 922, 4341, 1504, 269, 1717, 267, 674, 9281, 288, 1281, 723, 513, 3126, 540, 3652, 13288, 547, 519, 6364, 540, 513, 6345, 779, 7829, 540, 519, 3440, 1282, 513, 6474, 543, 519, 1585, 4539, 540, 713, 2962, 585, 1312, 519, 6345, 543, 519, 1964, 691, 540, 513, 6474, 563, 306, 665, 1356, 8387, 786, 581, 8036, 547, 9794, 2436, 513, 1688, 4252, 18670, 7018, 269, 2290, 540, 519, 1883, 3688, 786, 581, 602, 711, 1169, 3346, 540, 519, 3440, 547, 513, 6345, 779, 1688, 270, 1301, 568, 513, 18670, 563, 763, 556, 2914, 1800, 5205, 513, 1297, 540, 3741, 281, 1107, 1496, 338, 665, 1356, 316, 1281, 711, 3398, 513, 3804, 1373, 20639, 676, 513, 1688, 270, 1301, 630, 16838, 952, 23139, 1070, 1107, 1496, 338, 665, 1356, 316, 26770, 513, 6345, 547, 581, 10336, 1242, 585, 1688, 4252, 952, 789, 2744, 15896, 270, 31553, 540, 519, 3440, 689, 741, 1688, 270, 1301, 543, 2744, 513, 2101, 5413, 552, 3052, 269, 6060, 610, 1711, 513, 3804, 27214, 1681, 4316, 267, 1107, 621, 568, 2067, 585, 513, 6345, 547, 2322, 741, 6186, 1063, 741, 1560, 543, 519, 2666, 585, 1489, 950, 9991, 267, 1107, 2348, 519, 1688, 270, 1301, 1657, 13105, 4463, 568, 10355, 513, 4429, 12179, 12990, 1590, 4734, 519, 2361, 540, 1404, 693, 519, 14282, 521, 573, 5202, 1448, 267, 8259, 519, 22275, 324, 11887, 646, 666, 3533, 1118, 1010, 1259, 1394, 547, 519, 2319, 779, 11280, 5905, 1467, 1858, 269, 634, 1688, 4252, 3267, 0, 763, 4670, 729, 2813, 1310, 519, 5010, 1967, 540, 519, 3798, 7773, 590, 269, 623, 7163, 4670, 634, 4279, 21541, 7605, 25053, 267, 543, 729, 5497, 547, 581, 2147, 547, 621, 269, 1234, 548, 1078, 593, 5147, 476, 1789, 267, 476, 5002, 275, 267, 21200, 729, 6404, 269, 898, 568, 20295, 609, 2348, 12592, 623, 7163, 547, 1463, 519, 4670, 12650, 675, 540, 519, 834, 312, 1122, 326, 257, 7813, 26990, 331, 1513, 269, 589, 1820, 540, 519, 5722, 18826, 4670, 267, 799, 568, 1631, 538, 519, 1857, 6389, 267, 568, 12873, 538, 519, 7732, 540, 6837, 269, 769, 476, 1220, 273, 267, 519, 4670, 729, 5950, 593, 23861, 607, 851, 540, 513, 28094, 540, 14980, 8874, 563, 5475, 1565, 789, 616, 2110, 540, 2724, 267, 513, 1895, 540, 2185, 3775, 1499, 6430, 547, 14892, 513, 4871, 646, 626, 269, 634, 2185, 1711, 513, 1544, 543, 16926, 606, 7938, 9231, 669, 879, 11738, 584, 547, 5397, 873, 547, 741, 4087, 269, 1306, 4166 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 32341, 593, 513, 5685, 880, 692, 17843, 26088, 2709, 8795, 2157, 540, 15325, 1384, 265, 4223, 974, 281, 19612, 585, 922, 9363, 1379, 267, 1319, 974, 9096, 814, 2370, 547, 1100, 19542, 855, 666, 1745, 15018, 269, 6733, 585, 5848, 584, 1944, 5820, 899, 6171, 661, 610, 1352, 320, 7423, 563, 265, 9045, 514, 281, 5510, 619, 930, 17953, 1465, 1510, 1373, 22350, 21743, 269, 898, 2488, 22510, 9434, 1379, 543, 7959, 6899, 593, 17534, 563, 265, 31201, 281, 5381, 547, 2893, 514, 855, 5594, 1447, 17953, 344, 269, 1452, 1419, 2270, 900, 3326, 1801, 585, 3773, 20697, 563, 265, 5450, 28351, 22077, 15543, 539, 281, 1230, 13935, 695, 20810, 5536, 799, 2992, 1769, 267, 1818, 17534, 3100, 2407, 518, 269, 1358, 1810, 1405, 2356, 2063, 607, 1279, 1813, 547, 741, 1164, 19542, 1377, 563, 265, 28966, 26100, 22496, 281, 15380, 1319, 974, 267, 891, 1683, 5140, 15006, 7064, 547, 741, 5394, 11007, 269, 1717, 267, 789, 666, 20020, 10663, 3819, 1145, 610, 25305, 780, 13706, 1018, 9096, 20383, 1655, 609, 707, 6197, 543, 7375, 780, 2162, 5153, 476, 274, 281, 17292, 513, 7822, 7731, 692, 299, 760, 560, 6506, 2097, 538, 1585, 24698, 267, 19882, 883, 3885, 1759, 593, 14246, 610, 3579, 1145, 269, 1280, 15911, 32675, 267, 2015, 556, 1091, 267, 27712, 267, 15708, 267, 562, 26360, 609, 890, 778, 344, 896, 2023, 525, 269, 15346, 518, 1950, 687, 9290, 24712, 267, 544, 879, 1407, 267, 726, 4548, 267, 2620, 15708, 267, 543, 562, 26360, 10709, 532, 2509, 11909, 269, 5457, 267, 3652, 5749, 1405, 1305, 538, 6149, 910, 4603, 2394, 596, 1265, 707, 3501, 6474, 2439, 2162, 5153, 476, 275, 281, 4530, 4934, 7956, 999, 692, 8253, 782, 18282, 960, 1134, 585, 3025, 269, 2368, 1004, 4782, 8645, 1512, 12596, 267, 1866, 2972, 5277, 9067, 560, 6506, 269, 8347, 856, 1114, 2010, 693, 513, 30143, 4831, 610, 4558, 547, 1294, 799, 7959, 1034, 6899, 269, 5901, 606, 3750, 593, 4483, 5196, 11680, 610, 23040, 9469, 1932, 910, 713, 6920, 875, 1454, 5957, 942, 596, 1522, 1205, 689, 1142, 1826, 780, 2162, 5153, 476, 276, 281, 3367, 6997, 1564, 28392, 692, 16100, 585, 17161, 10834, 1279, 2914, 792, 3601, 971, 607, 1412, 14075, 18835, 3299, 1412, 2190, 16923, 5957, 3299, 1412, 8243, 19276, 31383, 3299, 3092, 269, 4746, 2638, 519, 12146, 1592, 269, 23123, 899, 21958, 267, 22169, 267, 14589, 525, 267, 543, 11041, 3565, 547, 3476, 2914, 8960, 7207, 780, 2162, 5153, 476, 277, 281, 4210, 2255, 6969, 11370, 3539, 692, 18933, 6559, 1761, 16306, 593, 519, 1394, 540, 707, 1688, 610, 6186, 547, 2708, 6477, 7695, 543, 9403, 269, 9796, 3007, 547, 1566, 13369, 630, 6011, 4396, 519, 3795, 568, 264, 543, 2436, 621, 2115, 2789, 6106, 269, 8074, 519, 7525, 12705, 2390, 3498, 543, 1310, 1025, 31857, 547, 1174, 922, 2773, 2429, 519, 1554, 780, 2162, 5153, 476, 278, 281, 8347, 2311, 5851, 692, 5629, 12349, 267, 1449, 1007, 9067, 560, 6506, 693, 1753, 1101, 269, 15233, 1252, 3585, 267, 1287, 3548, 267, 4235, 267, 2911, 267, 12837, 267, 21098, 7252, 630, 933, 4465, 1405, 9794, 14386, 547, 15378, 1483, 3734, 2773, 269, 17179, 4625, 19952, 1210, 8020, 15362, 1216, 610, 26349, 3282, 547, 2057, 28969, 9660, 610, 824, 3688, 780, 3528, 1739, 891, 3268, 267, 596, 1058, 581, 2111, 547, 18390, 3442, 513, 1279, 18835, 9067, 22496, 14018, 547, 707, 1367, 2115, 543, 16919, 269, 8414, 10918, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 16521, 7043, 13001, 8310, 532, 26100, 22496, 2580, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3178, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 538, 331, 24851, 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, 5149, 476, 277, 281, 5842, 31883, 632, 2311, 659, 4821, 19164, 30609, 1431, 692, 7072, 912, 763, 5318, 543, 3309, 11782, 540, 3162, 3013, 3091, 9118, 3255, 585, 2189, 2951, 2833, 269, 7324, 891, 6013, 519, 22539, 5898, 540, 519, 2311, 659, 4821, 19164, 538, 16266, 269, 19612, 607, 519, 1158, 781, 1743, 5006, 1875, 335, 6897, 9390, 267, 713, 3148, 2488, 8436, 609, 18198, 8916, 602, 2039, 689, 22880, 6070, 1166, 1846, 547, 26009, 22747, 269, 634, 1292, 13398, 585, 3695, 713, 15999, 1858, 568, 519, 1507, 4884, 540, 5842, 31883, 632, 2311, 659, 4821, 269, 901, 1770, 12538, 883, 519, 9159, 27559, 540, 519, 2311, 659, 4821, 19164, 30295, 267, 3246, 4030, 883, 922, 11585, 267, 2916, 267, 2528, 267, 543, 2442, 2238, 269, 1635, 9284, 532, 6000, 538, 519, 13300, 540, 713, 6552, 7944, 540, 519, 3047, 267, 649, 10625, 7096, 4296, 1063, 1480, 7279, 267, 6043, 267, 543, 938, 2479, 331, 8463, 1391, 585, 6602, 780, 296, 269, 4197, 519, 2983, 7240, 12745, 454, 288, 269, 19715, 454, 763, 2311, 659, 4821, 19164, 21018, 2066, 7187, 16266, 267, 8720, 5111, 476, 6078, 267, 1822, 4009, 5195, 630, 10755, 267, 279, 1789, 13483, 5998, 264, 1107, 10199, 519, 2450, 540, 11882, 538, 519, 2136, 2276, 269, 898, 11498, 2059, 519, 7414, 23795, 267, 8757, 7532, 1189, 4724, 519, 1656, 6756, 7823, 2039, 269, 4706, 4234, 15994, 2990, 4025, 621, 1063, 519, 570, 22241, 540, 7167, 878, 1941, 543, 4165, 1993, 698, 770, 320, 267, 16266, 269, 1306, 971, 267, 519, 9390, 21269, 1585, 20296, 10851, 267, 7700, 547, 922, 6909, 9265, 780, 289, 269, 8693, 454, 8601, 1373, 4092, 2282, 519, 20337, 267, 519, 2311, 659, 4821, 19164, 11392, 8766, 13247, 1813, 547, 922, 4087, 1063, 1079, 7823, 9832, 9117, 607, 7496, 1996, 7509, 2000, 23565, 12798, 269, 1452, 2175, 1711, 1018, 3744, 2015, 519, 1034, 25545, 1747, 593, 3618, 267, 1141, 930, 2127, 723, 2760, 6592, 11811, 269, 1717, 267, 1282, 4686, 2621, 1634, 607, 4432, 15281, 25123, 1296, 267, 5230, 22856, 949, 546, 3402, 2694, 540, 519, 9390, 267, 3056, 547, 10151, 561, 6210, 976, 543, 28480, 3552, 25154, 269, 17957, 267, 20893, 1419, 29198, 9381, 4525, 267, 24569, 25836, 2030, 1272, 9862, 547, 713, 17077, 4199, 780, 290, 269, 5440, 2762, 454, 763, 27177, 540, 519, 2311, 659, 4821, 19164, 9775, 13497, 267, 10023, 27763, 5070, 546, 17480, 267, 4224, 21272, 267, 6070, 1166, 1846, 267, 2848, 5446, 2520, 903, 619, 267, 543, 3742, 22747, 269, 634, 14099, 5546, 519, 2729, 540, 1312, 5065, 7320, 543, 2199, 2950, 267, 8506, 13916, 543, 5647, 585, 6668, 269, 6250, 6002, 14952, 693, 519, 11495, 4334, 1063, 9583, 3046, 1066, 729, 339, 601, 1343, 543, 7524, 522, 1162, 31523, 609, 10664, 543, 3662, 1272, 780, 2862, 269, 10289, 519, 9177, 540, 5842, 31883, 632, 2311, 659, 4821, 454, 288, 269, 7087, 18877, 454, 6524, 3864, 13896, 8452, 538, 519, 2311, 659, 4821, 19164, 267, 1896, 6805, 2516, 20948, 519, 2244, 269, 25408, 267, 519, 2311, 659, 877, 10722, 657, 4278, 1882, 676, 3384, 10427, 6694, 2553, 1210, 11895, 6864, 9254, 551, 1949, 1572, 834, 30298, 638, 3930, 2437, 799, 4847, 873, 547, 10244, 1216, 2200, 5103, 3665, 3819, 1145, 269, 4653, 267, 741, 18939, 2226, 1082, 9821, 543, 5389, 267, 1519, 1688, 8154, 2504, 267, 9423, 267, 543, 5289, 2853, 7184, 4448, 547, 2470, 780, 289, 269, 21094, 12752, 454, 1103, 2487, 5756, 267, 5842, 31883, 632, 2311, 659, 4821, 814, 6738, 28354, 607, 513, 15805, 10278, 267, 5373, 7045, 3464, 5275, 9058, 2067, 18845, 543, 2686, 13341, 269, 2755, 713, 2208, 6770, 2804, 2640, 267, 621, 849, 13514, 2591, 3823, 4264, 1646, 543, 8497, 2757, 2081, 540, 2713, 269, 21344, 30222, 609, 6561, 5726, 3788, 2565, 585, 4509, 13597, 1369, 519, 2146, 780, 7656, 269, 27759, 585, 2659, 2311, 659, 4821, 23874, 454, 288, 269, 8447, 24524, 543, 2657, 19047, 454, 14106, 1746, 519, 2311, 659, 4821, 19164, 3340, 6297, 7041, 1813, 547, 922, 10792, 2825, 2175, 269, 13488, 619, 1590, 1035, 743, 574, 520, 1125, 547, 1164, 31556, 267, 8151, 909, 547, 476, 1691, 267, 278, 5038, 3952, 630, 275, 267, 4335, 7397, 1070, 547, 2057, 1761, 15820, 19210, 2589, 899, 14331, 267, 15353, 267, 610, 26032, 540, 7362, 269, 12056, 538, 2834, 2168, 2534, 1354, 12625, 2337, 5965, 707, 1560, 585, 588, 1066, 6681, 32751, 687, 543, 5849, 2949, 8171, 2429, 707, 3251, 780, 289, 269, 12708, 717, 792, 543, 16811, 454, 303, 22326, 3617, 10591, 568, 2629, 950, 5887, 1005, 883, 519, 2311, 659, 4821, 19164, 269, 30318, 3688, 1331, 3141, 4027, 630, 1002, 267, 23475, 28904, 267, 1279, 19492, 1407, 1070, 30305, 7802, 585, 2837, 15088, 267, 19756, 31321, 267, 1201, 650, 762, 1216, 14569, 267, 543, 3063, 16152, 269, 3958, 267, 2327, 596, 4163, 1022, 2556, 6527, 267, 1101, 5351, 20164, 267, 543, 2123, 9882, 2472, 2094, 3681, 1522, 581, 3908, 2899, 3544, 4683, 7740, 780, 4353, 269, 15019, 11242, 543, 26317, 10738, 519, 2311, 659, 4821, 19164, 454, 288, 269, 10060, 717, 5074, 454, 18814, 547, 922, 2312, 22839, 543, 8766, 1769, 5533, 267, 519, 2311, 659, 4821, 19164, 16034, 1851, 519, 1655, 6753, 11451, 585, 24666, 8343, 269, 11153, 2616, 14898, 2709, 11461, 19150, 15386, 18477, 4703, 998, 3532, 24985, 267, 5337, 1746, 4898, 618, 827, 17184, 13655, 543, 11121, 7391, 4478, 8103, 781, 1909, 538, 519, 7122, 780, 289, 269, 9855, 9503, 670, 833, 454, 300, 3019, 9503, 630, 309, 4150, 632, 3288, 700, 10044, 264, 19646, 16264, 6438, 8916, 6353, 676, 795, 698, 3022, 6149, 21272, 267, 3768, 6819, 5070, 546, 17480, 267, 543, 1309, 591, 333, 748, 23572, 9380, 539, 676, 2842, 11761, 269, 21150, 1046, 532, 593, 513, 11461, 30382, 2636, 8436, 547, 5660, 519, 14860, 781, 30642, 5898, 1247, 1565, 827, 17027, 3157, 5935, 713, 824, 16447, 569, 29278, 780, 290, 269, 4469, 29546, 1723, 20698, 3019, 16731, 454, 299, 11343, 29691, 519, 1656, 6756, 29415, 267, 4469, 29546, 1723, 20698, 3019, 630, 299, 698, 10044, 932, 1314, 320, 264, 6678, 337, 8712, 14666, 609, 922, 12667, 2881, 638, 18857, 7297, 1490, 21148, 609, 11909, 1166, 5446, 657, 543, 824, 26868, 5017, 269, 4438, 1808, 2053, 540, 1032, 267, 8436, 7198, 30811, 10525, 540, 15222, 1242, 8023, 12738, 9624, 10565, 1394, 323, 28979, 540, 15027, 19589, 3138, 4040, 16841, 780, 6962, 912, 18698, 519, 5842, 31883, 632, 2311, 659, 4821, 19164, 30295, 1045, 580, 528, 919, 938, 12823, 543, 22262, 7214, 7279, 827, 3047, 781, 3309, 5054, 543, 4529, 269, 3414, 18532, 4058, 267, 16614, 6278, 267, 543, 3743, 9235, 2853, 267, 649, 3565, 9797, 547, 25137, 713, 7415, 3148, 585, 2104, 5481, 269, 11086, 267, 2502, 609, 519, 2311, 659, 4821, 19164, 11942, 4514, 24300, 540, 938, 1378, 30840, 543, 25872, 1369, 519, 1950, 13795, 540, 2518, 8134, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 516, 330, 6362, 18475, 30643, 16266, 281, 476, 736, 2395, 269, 901, 568, 513, 4663, 585, 1346, 945, 2972, 7045, 543, 616, 11235, 547, 9192, 20498, 5784, 609, 513, 3787, 540, 3635, 269, 15232, 513, 2370, 540, 3388, 1247, 10707, 998, 1614, 2477, 910, 519, 4583, 5549, 320, 21219, 540, 7557, 340, 20266, 32627, 267, 8235, 570, 12792, 20403, 267, 3657, 638, 760, 320, 781, 17715, 6189, 267, 543, 519, 27726, 5251, 540, 519, 12157, 643, 1014, 1164, 4133, 267, 10678, 609, 513, 3643, 547, 519, 1158, 781, 1743, 5006, 9390, 267, 519, 2311, 659, 4821, 269, 901, 7552, 998, 1614, 2477, 609, 31939, 6362, 538, 18475, 547, 589, 639, 836, 622, 267, 31939, 6362, 547, 519, 5549, 320, 20417, 543, 4244, 19150, 585, 1346, 945, 666, 711, 798, 519, 31939, 6362, 563, 272, 281, 4975, 540, 18882, 910, 7799, 320, 454, 17220, 8184, 547, 7799, 320, 269, 27336, 2526, 693, 519, 19633, 543, 21200, 269, 18734, 547, 519, 15678, 563, 7021, 9519, 693, 15678, 563, 273, 281, 7799, 320, 910, 595, 639, 1723, 454, 9213, 649, 786, 3643, 519, 2749, 540, 7799, 320, 267, 3854, 540, 519, 2197, 269, 1284, 786, 3643, 519, 20616, 543, 7073, 7799, 320, 282, 649, 786, 1294, 519, 6301, 12384, 267, 519, 6554, 20066, 267, 519, 4975, 8065, 267, 519, 5246, 29989, 781, 20066, 267, 519, 24130, 267, 519, 9697, 659, 558, 2125, 540, 5842, 12770, 267, 7810, 544, 753, 687, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26596, 31883, 632, 2311, 659, 4821, 19164, 30609, 1431, 257, 607, 851, 540, 834, 307, 30728, 1315, 3162 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 729, 9307, 693, 519, 834, 20360, 3298, 476, 1015, 281, 634, 8921, 3848, 257, 2046, 2680, 593, 5130, 476, 2641, 267, 476, 1001, 276, 898, 2488, 513, 6404, 4641, 1995, 1141, 513, 2661, 6881, 540, 2168, 1483, 8996, 2609, 568, 11368, 609, 602, 540, 5691, 2609, 630, 516, 31084, 547, 607, 834, 327, 860, 2449, 257, 676, 9786, 4097, 320, 264, 971, 602, 789, 616, 9228, 547, 2291, 1927, 538, 513, 3838, 1604, 269, 589, 14583, 540, 8837, 585, 21284, 4641, 5904, 276, 630, 6518, 32433, 513, 1483, 8996, 2168, 1604, 609, 5691, 2609, 264, 8837, 24908, 18712, 2934, 606, 21284, 3146, 1275, 5665, 1604, 538, 799, 1022, 17629, 8837, 25957, 813, 666, 2196, 269, 277, 454, 763, 3760, 568, 849, 1031, 585, 5691, 4641, 9843, 1115, 2966, 585, 946, 593, 519, 8837, 476, 1015, 12096, 6282, 832, 22352, 267, 799, 616, 3710, 547, 16551, 8045, 607, 851, 540, 8837, 24908, 18712, 267, 855, 3668, 1489, 585, 554, 860, 1429, 545, 2833, 563, 14611, 2376, 281, 9786, 4591, 334, 299, 839, 454, 763, 30856, 3926, 585, 8837, 24908, 18712, 267, 276, 9786, 4591, 334, 299, 839, 568, 513, 5100, 25322, 13293, 2212, 3553, 602, 568, 513, 10260, 1652, 267, 1582, 8410, 22633, 8837, 476, 1015, 2780, 4881, 8837, 476, 1015, 670, 860, 1429, 545, 269, 898, 3096, 1585, 8596, 267, 513, 1164, 12413, 6873, 8305, 25646, 476, 274, 291, 9804, 2212, 2173, 870, 539, 4159, 267, 543, 8901, 3280, 547, 1450, 585, 21284, 4641, 3156, 267, 609, 513, 2067, 3593, 8818, 602, 519, 3593, 25998, 609, 998, 22401, 267, 5639, 267, 543, 1688, 17267, 269, 4281, 280, 26467, 523, 3139, 834, 19061, 4446, 629, 5622, 2580, 4591, 334, 299, 839, 1185, 1044, 538, 1646, 585, 2947, 1296, 1354, 922, 23318, 538, 476, 1001, 276, 267, 855, 729, 22885, 4505, 607, 519, 3312, 12334, 1500, 538, 3735, 476, 1220, 278, 585, 1018, 1131, 1831, 519, 20943, 624, 2029, 3760, 269, 280, 1015, 454, 19859, 7809, 814, 6098, 4591, 334, 299, 839, 585, 5305, 834, 514, 519, 8837, 476, 1015, 942, 18134, 2580, 609, 519, 9786, 4591, 334, 299, 839, 4886, 9990, 547, 2253, 11288, 4728, 476, 1789, 267, 476, 1001, 277, 267, 2139, 676, 3498, 547, 9367, 538, 519, 2136, 2276, 543, 4516, 585, 513, 1592, 3902, 540, 2475, 259, 4968, 271, 269, 1556, 4014, 519, 4886, 9990, 568, 2808, 547, 581, 7082, 268, 2819, 8800, 267, 607, 540, 5988, 476, 1001, 277, 9786, 814, 711, 1305, 513, 942, 7406, 585, 7082, 8244, 540, 4591, 334, 299, 839, 267, 609, 4591, 334, 299, 839, 8783, 23266, 5981, 918, 760, 2006, 17548, 602, 4591, 334, 299, 839, 786, 723, 513, 7082, 5305, 1152, 950, 519, 2344, 568, 4712, 585, 621, 269, 1321, 14992, 971, 607, 28932, 2426, 22997, 543, 1306, 639, 1185, 6829, 1719, 538, 2324, 609, 9786, 547, 3132, 741, 1378, 6404, 3146, 1275, 2472, 1759, 593, 4591, 334, 299, 839, 269, 14530, 275, 27311, 1500, 513, 1463, 2841, 3218, 1572, 5741, 2353, 1195, 609, 922, 1062, 1572, 834, 300, 1120, 539, 18712, 21968, 2705, 267, 621, 814, 1044, 23545, 539, 607, 540, 5181, 476, 2420, 267, 476, 1001, 278, 269, 14681, 277, 1704, 454, 1103, 5239, 476, 1001, 277, 1282, 513, 8800, 2680, 267, 9786, 9307, 602, 2789, 744, 4932, 338, 1131, 5305, 5691, 4641, 9843, 1115, 585, 519, 8837, 670, 860, 1429, 545, 3760, 267, 1759, 593, 9786, 4704, 6272, 7175, 4055, 8397, 5691, 4641, 1510, 5007, 8596, 610, 3334, 269, 1240, 769, 5130, 476, 1001, 278, 267, 30384, 941, 4843, 693, 19901, 22997, 8058, 585, 5305, 2663, 538, 519, 1032, 267, 866, 543, 9786, 2663, 9307, 602, 621, 9709, 547, 5305, 1646, 20164, 585, 971, 9843, 1115, 1282, 519, 10794, 3763, 619, 10985, 269, 1452, 3457, 1131, 581, 6462, 676, 519, 8837, 476, 1015, 834, 24478, 832, 22352, 2668, 271, 2311, 519, 10794, 3763, 619, 10985, 538, 476, 1001, 278, 267, 9786, 7150, 602, 621, 5497, 547, 1489, 8837, 24908, 18712, 9843, 1115, 593, 2473, 7901, 2290, 538, 476, 1001, 279, 267, 4481, 15663, 519, 7207, 540, 519, 1287, 5346, 5765, 2473, 7901, 2290, 2473, 8800, 14469, 267, 855, 519, 2754, 2663, 7150, 602, 621, 729, 7620, 2519, 593, 7193, 5867, 1101, 267, 543, 602, 621, 4941, 547, 1445, 593, 12616, 15283, 3435, 585, 931, 3421, 269, 1321, 454, 1103, 5239, 476, 1001, 278, 267, 9786, 13166, 9250, 8837, 24908, 18712, 543, 513, 1899, 1575, 540, 3791, 18407, 9843, 1115, 585, 946, 609, 519, 8837, 476, 1015, 834, 293, 718, 6282, 832, 22352, 257, 630, 10175, 513, 10131, 1899, 1575, 540, 9843, 1115, 689, 589, 1356, 267, 667, 749, 267, 24605, 267, 543, 22255, 26785, 267, 543, 2104, 2472, 689, 1306, 639, 543, 28932, 2426, 1070, 13166, 5219, 547, 607, 8837, 24908, 18712, 15138, 9843, 1115, 269, 274, 9521, 4591, 334, 299, 839, 267, 891, 3457, 616, 1152, 15095, 609, 5691, 4641, 3301, 267, 855, 519, 5817, 5117, 568, 5219, 547, 607, 8837, 24908, 18712, 7488, 540, 1995, 269, 2353, 8056, 619, 633, 9843, 1115, 4183, 7471, 5163, 9477, 630, 525, 3832, 9405, 1796, 29671, 8596, 1070, 543, 2270, 12514, 602, 666, 581, 1031, 547, 3950, 1688, 18988, 5163, 17120, 17960, 267, 799, 949, 581, 15985, 1194, 609, 519, 2212, 3553, 267, 610, 7856, 607, 18593, 17960, 269, 3393, 454, 3412, 11302, 633, 9843, 1115, 616, 4867, 15095, 609, 6404, 4641, 3301, 5833, 689, 9786, 15188, 267, 8471, 8924, 267, 543, 3301, 1210, 29673, 781, 5691, 4641, 3760, 630, 553, 1031, 676, 519, 10226, 290, 966, 633, 1040, 6858, 634, 2702, 547, 2196, 18376, 3301, 729, 3773, 593, 519, 8837, 476, 1015, 834, 9802, 476, 1001, 280, 22352, 2668, 8660, 454, 19859, 7809, 1362, 5809, 922, 5934, 543, 5227, 1062, 4170, 585, 8837, 24908, 18712, 607, 834, 20360, 3298, 24908, 18712, 7193, 338, 257, 630, 2568, 535, 1186, 264, 543, 834, 20360, 3298, 24908, 18712, 8299, 571, 7193, 338, 257, 630, 3445, 535, 1186, 1040, 634, 5934, 4170, 14574, 606, 27311, 11759, 1775, 276, 268, 24798, 271, 308, 610, 1732, 585, 24195, 267, 476, 279, 26838, 540, 20433, 267, 27311, 18074, 29093, 476, 30663, 610, 1732, 609, 6034, 311, 476, 1321, 1489, 267, 18292, 476, 274, 269, 271, 267, 18074, 11085, 610, 18224, 21545, 4296, 267, 543, 29402, 476, 275, 269, 271, 1489, 585, 27196, 282, 634, 7638, 613, 7074, 602, 3755, 834, 342, 517, 1405, 991, 513, 1164, 15134, 11080, 7193, 257, 547, 2743, 891, 7840, 269, 276, 454, 300, 12089, 18712, 5800, 531, 454, 300, 12089, 18712, 5800, 531, 568, 513, 17629, 8837, 25957, 813, 602, 5713, 607, 513, 4395, 15134, 585, 8837, 24908, 18712, 269, 898, 2934, 513, 476, 274, 291, 1604, 799, 3755, 666, 2263, 267, 543, 21160, 609, 3498, 31930, 543, 5691, 11380, 339, 3591, 269, 634, 4183, 8385, 9250, 609, 835, 1604, 267, 519, 1849, 858, 5600, 269, 589, 2034, 267, 4787, 2643, 21510, 267, 729, 3773, 538, 519, 4989, 476, 1001, 279, 22352, 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 ]
[ 513, 5428, 26141, 6142, 2754, 689, 1818, 513, 3409, 1996, 519, 824, 5428, 547, 9156, 2724, 6976, 676, 519, 6142, 2754, 547, 519, 1202, 3293, 610, 513, 3791, 5428, 547, 8207, 513, 4988, 3409, 269, 769, 824, 1913, 267, 952, 519, 16185, 568, 3649, 1882, 267, 519, 6142, 2754, 3112, 968, 31742, 538, 519, 6075, 26141, 3723, 25074, 892, 2899, 513, 3409, 814, 1044, 12306, 543, 647, 324, 519, 824, 5428, 547, 22771, 585, 741, 9271, 269, 4935, 267, 952, 519, 1016, 5766, 566, 568, 24850, 267, 519, 1202, 25033, 568, 6534, 547, 513, 2362, 1981, 269, 634, 16185, 568, 519, 13429, 540, 1776, 5428, 26141, 3656, 1318, 547, 2445, 513, 7963, 610, 14796, 676, 513, 3791, 5428, 630, 1721, 1383, 269, 645, 513, 2034, 3841, 3218, 610, 6142, 2754, 1040, 476, 898, 568, 513, 3656, 14985, 602, 513, 1268, 814, 519, 1318, 547, 7682, 519, 4540, 610, 17468, 2924, 540, 1776, 1268, 585, 1010, 610, 1200, 1378, 4324, 269, 476, 589, 1318, 540, 1016, 5766, 566, 2356, 14340, 676, 5106, 540, 1876, 267, 855, 666, 849, 8451, 689, 513, 1876, 610, 606, 6876, 269, 4427, 5766, 566, 568, 513, 4023, 16185, 602, 729, 1101, 2919, 693, 519, 2296, 7040, 540, 932, 22083, 344, 269, 901, 568, 513, 1134, 8153, 4183, 540, 1455, 1876, 1949, 269, 5381, 29625, 2291, 538, 3540, 1876, 10470, 269, 32163, 725, 538, 799, 6042, 616, 2139, 616, 711, 6806, 543, 4268, 689, 11662, 547, 11662, 610, 11662, 547, 11662, 563, 763, 16185, 2356, 4386, 538, 1614, 18407, 3871, 269, 5871, 1806, 540, 1016, 5766, 566, 1331, 281, 11565, 5491, 832, 630, 328, 4318, 1421, 2043, 945, 723, 1831, 5491, 832, 540, 519, 3972, 2465, 607, 3972, 2465, 264, 949, 723, 519, 1318, 547, 4283, 883, 519, 3972, 2465, 26141, 561, 1329, 269, 901, 568, 513, 3226, 3348, 13895, 968, 2431, 892, 540, 3972, 4315, 281, 513, 3972, 2465, 949, 711, 581, 13886, 547, 13180, 630, 335, 11065, 269, 1317, 646, 814, 8149, 513, 21556, 540, 3972, 676, 2502, 1010, 5539, 2509, 519, 3841, 3218, 538, 2243, 264, 610, 621, 949, 581, 3908, 630, 335, 11065, 269, 952, 519, 3972, 2465, 814, 8149, 606, 20775, 21556, 540, 3972, 543, 519, 4341, 540, 2312, 8051, 10039, 1040, 769, 930, 22875, 267, 519, 3972, 2465, 26141, 1318, 547, 13180, 949, 581, 4625, 16934, 269, 769, 891, 2665, 267, 1016, 5766, 566, 949, 581, 21235, 4502, 1652, 610, 7543, 269, 18435, 296, 568, 519, 4013, 8502, 540, 519, 29482, 22849, 11038, 21290, 543, 966, 2728, 566, 8890, 560, 630, 30820, 22849, 264, 21508, 351, 32662, 2305, 297, 2002, 10378, 476, 12573, 267, 7785, 1053, 2324, 585, 3549, 971, 607, 8835, 267, 31179, 21546, 543, 519, 12113, 337, 926, 13995, 1982, 267, 799, 6663, 547, 2490, 3025, 883, 513, 1283, 27677, 577, 2883, 25566, 269, 634, 6142, 2872, 4467, 14293, 6142, 30549, 288, 5010, 6142, 30549, 568, 513, 1268, 945, 6411, 607, 606, 10827, 776, 1063, 6142, 7426, 543, 5561, 269, 634, 6228, 540, 5010, 6142, 2156, 24329, 4422, 513, 1279, 1259, 538, 4180, 602, 5561, 798, 711, 1205, 4503, 538, 519, 4262, 540, 22973, 543, 796, 2675, 14442, 592, 748, 6142, 7426, 269, 568, 2808, 547, 581, 519, 1292, 9165, 540, 519, 6240, 540, 9029, 269, 1635, 759, 15659, 547, 519, 16185, 267, 606, 6142, 2754, 666, 3409, 519, 2179, 540, 519, 6142, 3409, 6976, 547, 519, 1202, 3293, 6075, 689, 519, 5428, 945, 3361, 519, 3441, 563, 9616, 602, 538, 971, 3871, 267, 519, 6142, 2754, 4564, 519, 4690, 540, 922, 1202, 3293, 7817, 269, 769, 824, 1913, 267, 519, 16185, 568, 513, 16185, 585, 519, 6142, 2754, 585, 519, 6142, 3409, 6976, 269, 13751, 1016, 5766, 566, 3217, 1747, 585, 4128, 540, 14619, 267, 609, 610, 1510, 6876, 269, 634, 1318, 547, 3656, 1016, 5766, 566, 949, 581, 9168, 610, 24773, 1639, 676, 513, 4579, 783, 6876, 269, 1358, 3112, 581, 1031, 547, 5372, 513, 4579, 8815, 676, 519, 6105, 269, 1230, 14846, 1016, 5766, 566, 4386, 950, 513, 1268, 3936, 956, 1776, 1268, 26141, 7963, 896, 513, 4579, 783, 6876, 602, 2488, 602, 782, 6811, 610, 22864, 602, 2291, 607, 3354, 585, 519, 7963, 616, 6854, 9800, 585, 519, 4324, 540, 519, 9878, 5428, 269, 898, 568, 2556, 602, 519, 6876, 581, 6462, 676, 513, 2689, 282, 1717, 267, 621, 1281, 711, 723, 547, 581, 2854, 543, 3112, 581, 8763, 610, 22466, 269, 634, 5013, 540, 519, 2013, 3313, 2436, 610, 711, 513, 1016, 5766, 566, 568, 10858, 15431, 4940 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 307, 26786, 2476, 538, 519, 2295, 540, 519, 4853, 16323, 540, 19566, 18518, 568, 606, 6532, 540, 2470, 609, 930, 1360, 8966, 2934, 269, 901, 476, 14530, 14092, 516, 1612, 4897, 540, 12303, 968, 1495, 626, 32328, 892, 2244, 568, 1634, 607, 18582, 5459, 28418, 7186, 3465, 2925, 1547, 1547, 1547, 513, 8235, 6019, 5244, 563, 294, 756, 5459, 28418, 568, 835, 540, 519, 2063, 2450, 762, 20276, 656, 540, 1164, 2298, 546, 2317, 543, 2220, 1446, 27177, 6967, 538, 519, 29268, 269, 5221, 540, 519, 7839, 20012, 543, 22713, 538, 19566, 18518, 267, 713, 1826, 540, 27177, 543, 922, 2404, 2067, 2950, 723, 1044, 3592, 7357, 17515, 269, 634, 4686, 1604, 267, 11303, 676, 4683, 1646, 267, 729, 12873, 1317, 621, 729, 851, 540, 16456, 3959, 540, 519, 18582, 5459, 962, 1841, 563, 763, 546, 2317, 543, 2220, 1446, 2934, 540, 519, 8190, 941, 3812, 1310, 519, 2063, 27224, 2813, 3504, 8235, 9628, 267, 519, 2062, 14725, 1676, 540, 8235, 12309, 269, 634, 6252, 5070, 31393, 1869, 1336, 538, 18582, 5459, 28418, 2221, 2099, 519, 1198, 540, 8235, 9628, 607, 621, 1427, 8972, 5215, 540, 1296, 3516, 563, 14937, 18073, 5260, 13860, 2531, 7149, 519, 546, 2317, 25170, 269, 634, 22501, 3037, 7028, 7381, 24124, 31403, 7768, 540, 5065, 3552, 25154, 543, 21823, 971, 607, 8262, 543, 9741, 18671, 652, 655, 267, 16217, 21961, 24778, 24124, 267, 4095, 23420, 267, 674, 2590, 539, 22918, 2103, 267, 14117, 595, 821, 17810, 267, 715, 617, 3429, 15248, 779, 570, 19843, 543, 513, 3984, 540, 1866, 269, 2859, 982, 476, 4968, 2249, 540, 2371, 723, 1044, 4857, 538, 519, 8190, 267, 1896, 540, 799, 616, 2808, 12219, 610, 13155, 269, 18582, 5459, 18137, 849, 814, 912, 2690, 707, 13418, 267, 972, 779, 4446, 8175, 1863, 16003, 267, 717, 3424, 6300, 267, 6828, 19150, 267, 670, 10884, 18162, 267, 19873, 633, 5234, 267, 7025, 17607, 4741, 267, 3427, 1895, 19150, 267, 1677, 850, 1206, 630, 4148, 2313, 1070, 13812, 13156, 1858, 563, 293, 18853, 744, 7473, 27749, 2336, 295, 2459, 1180, 21118, 338, 9523, 519, 11146, 585, 27223, 779, 454, 28830, 1677, 1684, 769, 30623, 1180, 2676, 763, 623, 822, 559, 542, 693, 16423, 8235, 2676, 295, 2459, 1180, 16819, 5842, 551, 4231, 2676, 294, 756, 5459, 28418, 7025, 4741, 2676, 1240, 628, 9335, 5940, 20455, 2676, 293, 652, 2526, 540, 519, 20463, 2676, 20806, 10152, 4804, 4741, 2676, 5715, 10005, 10950, 4741, 563, 294, 756, 5459, 28418, 7186, 3465, 2925, 454, 293, 652, 2526, 540, 519, 20463, 2961, 8058, 454, 8505, 4379, 27413, 14958, 8058, 454, 14976, 570, 23147, 7464, 267, 25587, 11204, 31777, 656, 454, 2005, 779, 3807, 590, 699, 526, 760, 640, 19255, 4771, 15232, 454, 288, 638, 1738, 7591, 4741, 454, 300, 16800, 9474, 27345, 5990, 681, 9680, 12778, 2336, 28830, 1677, 1684, 769, 30446, 30639, 454, 28830, 1677, 1684, 538, 18518, 14480, 525, 454, 28830, 1677, 1684, 538, 12309, 4975, 454, 28830, 1677, 1684, 769, 1733, 1746, 454, 28830, 1677, 1684, 769, 22477, 8672, 454, 26222, 2549, 2224, 618, 20088, 454, 28830, 1677, 1684, 538, 5800, 720, 454, 28830, 547, 798, 538, 8899, 749, 454, 28830, 547, 798, 538, 16189, 3122, 454, 28830, 547, 798, 538, 5101, 9628, 454, 28830, 547, 547, 538, 27722, 18518, 454, 2414, 4855, 856, 2859, 602, 779, 19732, 2287, 538, 30623, 1180, 267, 18518, 8437, 28313, 2336, 20245, 31197, 568, 7754, 528, 4821, 301, 8582, 779, 11683, 968, 290, 1021, 892, 24121, 2791, 666, 1224, 811, 827, 891, 1739, 23527, 12989, 281, 0, 1432, 568, 513, 10648, 302, 888, 14875, 302, 6763, 585, 16220, 9168, 11248, 269, 12791, 602, 4551, 267, 2371, 267, 3165, 267, 543, 11864, 666, 581, 4957, 998, 513, 5027, 13297, 547, 1711, 513, 968, 2908, 543, 4824, 892, 11248, 610, 1587, 269, 1879, 513, 1426, 1587, 568, 2813, 609, 513, 16220, 9168, 11248, 267, 621, 568, 2808, 513, 10648, 302, 1426, 1587, 269, 6201, 540, 713, 1331, 4376, 689, 513, 20920, 547, 513, 6079, 1652, 1216, 28447, 563, 1432, 568, 11036, 476, 276, 2420, 888, 29910, 19541, 476, 276, 2420, 568, 9086, 17935, 547, 6963, 519, 21458, 540, 16220, 22041, 3536, 269, 634, 2489, 9550, 786, 8917, 593, 713, 3390, 593, 519, 8734, 269, 476, 276, 3440, 582, 543, 952, 5293, 267, 621, 786, 979, 883, 1198, 593, 5147, 476, 272, 267, 476, 1001, 276, 563, 2704, 2819, 713, 1032, 476, 2918, 2829, 723, 5189, 21458, 9086, 269, 6115, 3557, 568, 711, 519, 1152, 1533, 6849, 605, 2000, 8475, 532, 2516, 269, 4340, 547, 7330, 4653, 267, 930, 2829, 723, 4080, 602, 789, 786, 711, 15357, 21458, 4031, 2394, 824, 2829, 723, 849, 21892, 2147, 4031, 563, 763, 4013, 3440, 582, 2268, 5758, 2829, 281, 968, 1607, 2268, 1131, 2154, 3536, 3812, 7357, 610, 14356, 609, 4719, 4702, 267, 607, 3989, 267, 547, 581, 13042, 607, 16220, 22041, 950, 6035, 585, 10685, 9042, 538, 6115, 3034, 6624, 538, 1489, 3409, 602, 10648, 11675, 616, 14432, 267, 4352, 972, 568, 2370, 2963, 547, 891, 6811, 269, 11524, 538, 1489, 1745, 602, 568, 827, 1344, 563, 14976, 9626, 700, 6621, 267, 8689, 585, 519, 8786, 593, 476, 276, 2420, 5859, 5892, 7150, 968, 1607, 5859, 568, 711, 827, 2436, 10648, 11675, 616, 1434, 610, 3983, 282, 713, 568, 2731, 1175, 3246, 811, 1344, 585, 6800, 3034, 5278, 540, 519, 7150, 4128, 585, 519, 11036, 267, 607, 7396, 538, 519, 4367, 267, 1331, 3909, 3661, 267, 1072, 4145, 267, 2825, 4145, 267, 2804, 4145, 267, 543, 3466, 538, 7082, 21458, 4031, 563, 1103, 513, 2487, 22208, 8648, 2376, 1883, 3877, 547, 713, 3915, 5018, 616, 602, 1426, 4421, 538, 14060, 543, 4568, 616, 23614, 267, 14468, 5214, 1426, 568, 23614, 267, 3662, 5779, 1590, 581, 13042, 267, 855, 711, 5779, 689, 2831, 602, 17696, 16220, 22041, 3049, 563, 7212, 972, 616, 1082, 9490, 17756, 538, 519, 11036, 267, 519, 3804, 568, 547, 2327, 3536, 616, 13042, 267, 950, 14013, 267, 607, 968, 2102, 13443, 22041, 5608, 968, 4820, 6053, 3812, 609, 4719, 4702, 892, 610, 968, 16673, 581, 13148, 3812, 609, 4719, 4702, 3034, 17954, 1136, 1524, 519, 20907, 454, 6097, 547, 519, 5859, 8804, 267, 607, 540, 4239, 269, 476, 275, 267, 7482, 547, 28586, 519, 3915, 723, 6603, 1269, 1704, 267, 12739, 267, 23056, 543, 1489, 585, 519, 3915, 568, 693, 1269, 276, 267, 279, 4366, 267, 22001, 563, 288, 22208, 8648, 2376, 3081, 602, 1312, 5011, 538, 713, 5859, 616, 1818, 7301, 6811, 827, 519, 1942, 540, 594, 268, 276, 2420, 269, 2290, 2427, 568, 6031, 621, 4465, 1406, 1942, 1454, 543, 519, 824, 2427, 568, 6158, 827, 6634, 540, 9489, 269, 634, 22208, 8648, 6811, 1312, 6811, 616, 7301, 269, 634, 1533, 6578, 5604, 814, 10645, 602, 602, 7598, 476, 276, 2420, 786, 1942, 519, 1072, 8257, 1269, 274, 269, 275, 2929, 936, 3670, 1296, 563, 1432, 6496, 8786, 2201, 594, 268, 276, 2420, 17166, 888, 1892, 2637, 13443, 22041, 7103, 971, 607, 519, 13985, 320, 645, 870, 344, 13687, 1131, 2154, 21458, 269, 14522, 814, 2907, 5293, 513, 1876, 538, 476, 1220, 276, 547, 6003, 782, 16220, 22041, 16872, 543, 3165, 563, 1892, 19255, 11825, 786, 581, 3051, 344, 547, 1344, 827, 782, 2472, 789, 616, 9140, 543, 4189, 563, 1892, 1703, 786, 711, 581, 606, 1764, 593, 1426, 5777, 1317, 6003, 10311, 616, 6296, 538, 519, 1426, 2872, 563, 1892, 901, 11036, 814, 1044, 24018, 593, 519, 1034, 1455, 2518, 23817, 21458, 4441, 267, 1818, 6115, 1100, 31749, 982, 2518, 4441, 563, 1892, 29133, 543, 10683, 689, 16220, 22041, 2831, 1131, 581, 13042, 563, 1432, 6496, 3143, 2201, 594, 268, 276, 2420, 17166, 888, 1892, 1677, 2327, 741, 2472, 616, 711, 13042, 607, 10648, 11675, 267, 6705, 1131, 723, 547, 1121, 820, 2472, 609, 811, 7199, 543, 16887, 17411, 5820, 563, 2750, 12371, 10297, 2907, 1683, 3681, 602, 798, 711, 723, 10648, 11675, 609, 519, 946, 540, 519, 6003, 968, 32662, 1881, 5214, 3034, 1892, 3509, 1426, 7031, 602, 723, 1044, 1031, 585, 5756, 723, 1044, 1110, 881, 539, 547, 759, 527, 2068, 267, 2154, 7864, 13851, 267, 543, 616, 811, 4333, 687, 269, 1452, 2360, 616, 711, 5739, 267, 543, 4867, 519, 22340, 543, 15111, 723, 9516, 519, 16220, 22041, 5820, 593, 476, 3583, 268, 3199, 260, 540, 17365, 2472, 269, 3509, 1745, 602, 21458, 1631, 2306, 1100, 2631, 563, 1892, 1703, 568, 4867, 1100, 2963, 602, 10648, 11675, 616, 5739, 563, 1892, 634, 1977, 6481, 5948, 814, 7150, 7282, 10648, 11675, 968, 2467, 568, 1100, 3621, 24134, 585, 2027, 21458, 540, 6915, 22041, 3536, 3034, 1892, 1403, 1876, 16234, 6999, 547, 6003, 782, 10648, 11675, 267, 713, 3915, 8813, 2110, 538, 519, 2463, 602, 2831, 16220, 22041, 991, 547, 581, 13042, 267, 855, 2831, 602, 17696, 1426, 5627, 10648, 11675, 547, 711, 563, 1892, 7201, 713, 11036, 6705, 666, 581, 647, 539, 585, 2262, 532, 593, 10297, 269, 3509, 616, 7255, 602, 891, 21458, 2152, 786, 581, 14648, 607, 513, 9963, 1996, 23817, 2472, 267, 1256, 1498, 23817, 2472, 723, 1044, 10057, 585, 5756, 563, 296, 268, 276, 2420, 2311, 22208, 772, 454, 763, 593, 2275, 25283, 2754, 12844, 2561, 18863, 527, 814, 711, 1044, 9420, 547, 519, 3915, 267, 543, 3947, 513, 4396, 9811, 547, 19541, 476, 276, 2420, 563, 14071, 723, 3144, 606, 4013, 1796, 538, 1489, 540, 476, 276, 2420, 2223, 1767, 13636, 10588, 15440, 585, 12844, 2561, 18863, 527, 267, 11370, 3960, 32129, 867, 269, 968, 2026, 513, 2754, 649, 3494, 602, 1004, 723, 519, 1318, 547, 917, 1018, 779, 538, 741, 1426, 267, 543, 782, 621, 568, 267, 568, 513, 21458, 1876, 3034, 1607, 1489, 540, 519, 11036, 568, 593, 519, 851, 540, 12844, 2561, 18863, 527, 607, 513, 2754, 543, 1281, 711, 2992, 519, 8369, 540, 22208, 772, 267, 646, 1767, 563, 295, 4752, 867, 13948, 11099, 602, 972, 616, 1906, 4031, 602, 616, 3501, 267, 543, 713, 1876, 538, 1880, 814, 1044, 31751, 609, 513, 2603, 540, 6297, 3403, 269, 898, 949, 711, 581, 3501, 267, 646, 3081, 267, 855, 621, 568, 513, 1900, 538, 519, 1318, 4287, 563, 2108, 5978, 3390, 568, 811, 540, 513, 10952, 835, 2223, 1767, 32129, 867, 269, 968, 2171, 616, 1360, 1454, 538, 1489, 540, 5355, 519, 1426, 1062, 267, 543, 972, 616, 513, 2603, 540, 2152, 1369, 519, 1426, 1062, 269, 10648, 11675, 616, 1175, 835, 3034, 289, 517, 2561, 564, 527, 568, 2907, 5665, 607, 513, 15072, 10051, 269, 18421, 11273, 568, 5423, 689, 15072, 1510, 891, 9268, 3536, 269, 19541, 476, 276, 2420, 23403, 21458, 593, 26437, 3536, 585, 10685, 267, 855, 585, 12844, 2561, 18863, 527, 713, 568, 711, 513, 1966, 2901, 563, 10527, 3688, 602, 649, 10189, 593, 13464, 267, 899, 519, 10544, 7146, 30559, 3688, 267, 1317, 789, 616, 513, 2539, 4320, 543, 3085, 1406, 2887, 896, 519, 1482, 4808, 540, 17783, 1446, 519, 11036, 3085, 1406, 1764, 593, 938, 4238, 2223, 1767, 32129, 867, 269, 0, 1103, 1034, 2477, 621, 568, 4847, 547, 4163, 856, 519, 10073, 1184, 1256, 585, 1453, 689, 824, 30707, 563, 1103, 3567, 538, 476, 1001, 272, 4805, 267, 476, 25396, 1453, 941, 7550, 269, 1809, 267, 2687, 547, 18917, 5240, 267, 5545, 2229, 1239, 1397, 602, 972, 616, 10199, 476, 4375, 267, 1822, 1453, 538, 6536, 1416, 563, 16449, 2919, 2477, 267, 3567, 814, 519, 9803, 10073, 2557, 269, 2913, 781, 1732, 1174, 519, 2601, 267, 3652, 543, 1686, 827, 519, 1184, 563, 1692, 1705, 10073, 2097, 827, 538, 3567, 888, 763, 5545, 3459, 547, 2259, 10073, 538, 519, 715, 4673, 1974, 630, 278, 1015, 268, 8064, 275, 1040, 4438, 713, 1974, 267, 10073, 729, 6825, 676, 1514, 3652, 543, 2035, 602, 15538, 540, 513, 13283, 585, 5256, 1453, 563, 1607, 729, 1317, 519, 2601, 585, 12561, 729, 538, 1931, 547, 4324, 1346, 945, 9772, 547, 3136, 519, 2533, 540, 519, 2777, 543, 1416, 585, 519, 1920, 602, 666, 1152, 581, 2944, 676, 519, 5256, 1126, 269, 769, 519, 9000, 540, 1973, 1453, 267, 10073, 729, 6074, 563, 5194, 2601, 585, 3237, 547, 18992, 547, 9772, 633, 1453, 729, 950, 519, 16048, 1126, 1223, 711, 581, 811, 5078, 585, 1920, 19588, 563, 1103, 519, 715, 4673, 1974, 267, 10073, 729, 849, 1031, 607, 513, 7271, 585, 2870, 24816, 269, 769, 824, 1913, 267, 1453, 1223, 581, 7550, 1063, 3885, 269, 1717, 267, 621, 729, 538, 519, 21919, 752, 3120, 1974, 630, 14093, 276, 268, 15836, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 1216, 568, 476, 12553, 13728, 269, 589, 11480, 540, 1216, 9775, 538, 2450, 267, 855, 513, 20645, 666, 3180, 476, 12553, 547, 476, 12553, 269, 13728, 269, 1280, 1383, 267, 952, 513, 1216, 11480, 814, 476, 1626, 695, 650, 902, 267, 1118, 476, 279, 14143, 780, 21010, 532, 547, 1114, 3457, 454, 13563, 9174, 543, 10424, 17529, 616, 5258, 883, 2185, 20453, 630, 326, 553, 20453, 1070, 865, 789, 616, 5258, 883, 1079, 2694, 269, 1452, 4191, 616, 5258, 883, 1079, 11680, 630, 24392, 835, 540, 519, 11435, 568, 1031, 264, 543, 5258, 883, 1079, 2694, 630, 15290, 1210, 519, 8405, 1040, 589, 20645, 5627, 713, 4484, 14687, 547, 2185, 10945, 267, 5216, 10945, 267, 28465, 10833, 540, 13977, 610, 1079, 17436, 269, 634, 1034, 4190, 5810, 616, 5258, 883, 2947, 20950, 267, 543, 519, 1977, 2011, 568, 5258, 883, 2185, 20950, 780, 3080, 26412, 540, 1216, 1934, 568, 476, 272, 270, 736, 540, 513, 3020, 476, 272, 270, 8182, 20645, 540, 1216, 267, 543, 3368, 606, 26412, 540, 1977, 1216, 568, 476, 272, 270, 1626, 610, 476, 272, 270, 12553, 610, 606, 1977, 20645, 780, 29209, 21312, 267, 21247, 267, 10859, 2914, 797, 267, 27022, 543, 12992, 616, 476, 736, 260, 3677, 982, 2475, 13413, 543, 713, 568, 711, 519, 2013, 269, 634, 1543, 540, 1970, 268, 2391, 1216, 568, 1152, 476, 275, 260, 4130, 982, 1977, 1216, 267, 543, 519, 9126, 568, 1031, 8335, 538, 891, 3515, 780, 2704, 4022, 568, 5781, 4421, 538, 519, 968, 325, 604, 2906, 892, 538, 519, 2136, 2276, 267, 538, 3592, 835, 1922, 604, 628, 540, 1977, 12621, 780, 1692, 1082, 17529, 540, 1216, 829, 20645, 888, 15919, 596, 991, 547, 917, 875, 1454, 1216, 568, 538, 513, 20645, 267, 1101, 596, 991, 547, 1174, 602, 972, 568, 476, 6344, 15559, 538, 519, 588, 28948, 780, 763, 5750, 2630, 2982, 875, 547, 4235, 1216, 1614, 2053, 513, 1554, 585, 30304, 780, 5475, 10647, 713, 1353, 267, 649, 666, 5173, 519, 4390, 547, 3132, 17529, 780, 8512, 338, 829, 20645, 540, 1216, 630, 335, 1112, 3293, 2020, 272, 2148, 540, 1216, 815, 476, 1428, 476, 279, 9390, 14569, 269, 630, 272, 7484, 2020, 272, 2148, 540, 1216, 815, 476, 278, 269, 276, 14569, 5612, 476, 1704, 269, 630, 293, 604, 1399, 1922, 604, 1399, 2020, 272, 2148, 540, 1216, 815, 476, 278, 269, 272, 14569, 543, 476, 1626, 269, 280, 13728, 692, 272, 2148, 540, 1216, 815, 476, 275, 269, 8618, 14569, 476, 2918, 12063, 692, 272, 2148, 540, 1216, 815, 476, 274, 269, 4037, 13728, 476, 3953, 13728, 630, 272, 688, 2020, 272, 2148, 540, 1216, 815, 476, 274, 269, 4649, 14569, 829, 476, 3451, 269, 279, 13728, 630, 272, 2148, 2020, 20751, 519, 4826, 7896, 4972, 267, 649, 1489, 1072, 2359, 543, 2359, 692, 1103, 519, 2136, 2276, 267, 1216, 13728, 616, 827, 476, 12553, 13728, 540, 1216, 269, 634, 2450, 540, 519, 1216, 11480, 786, 4268, 267, 855, 519, 2450, 540, 519, 476, 12553, 543, 476, 12553, 14569, 786, 3514, 538, 17529, 269, 1280, 1383, 267, 952, 513, 1216, 11480, 814, 476, 1626, 695, 650, 902, 267, 1118, 476, 279, 14143, 269, 1403, 519, 1216, 11480, 568, 476, 3953, 695, 650, 902, 267, 621, 786, 1152, 723, 476, 275, 25614, 269, 2290, 11480, 540, 1216, 568, 827, 476, 3451, 269, 279, 13728, 267, 865, 476, 279, 476, 274, 269, 279, 20990, 540, 891, 14569, 780, 274, 4281, 276, 20990, 829, 2475, 20645, 540, 5277, 692, 263, 763, 1739, 4137, 3096, 519, 772, 269, 590, 269, 5277, 3280, 8760, 269, 11829, 976, 616, 772, 2529, 269, 5277, 17529, 282, 22016, 616, 772, 2529, 269, 5277, 12862, 282, 15956, 616, 5277, 589, 269, 12862, 780, 292, 3916, 3729, 2027, 2665, 269, 769, 519, 3239, 2630, 267, 594, 1031, 519, 2834, 2475, 19067, 476, 279, 1166, 12063, 543, 621, 4330, 519, 476, 26951, 269, 276, 6434, 16720, 267, 799, 568, 476, 13301, 16066, 3079, 540, 519, 2475, 13751, 19067, 24355, 263, 16676, 4240, 692, 8256, 18790, 519, 3328, 1858, 540, 722, 489, 25991, 1492, 1977, 3444, 568, 476, 279, 13728, 540, 5277, 543, 476, 26951, 267, 276, 6434, 16720, 267, 519, 1699, 1871, 630, 26951, 476, 276, 6434, 270, 279, 264, 815, 476, 3066, 269, 6872, 274, 276, 16720, 780, 8110, 2148, 540, 476, 1911, 271, 16720, 269, 4935, 267, 1142, 26412, 540, 5277, 3568, 630, 3066, 269, 6872, 274, 276, 1315, 476, 1911, 271, 264, 20990, 610, 476, 3451, 476, 279, 1691, 13728, 540, 5277, 829, 2148, 780, 279, 13728, 540, 5277, 829, 7484, 282, 1079, 11680, 585, 1169, 476, 1626, 13728, 267, 1079, 20990, 829, 10116, 282, 2185, 20990, 829, 20645, 269, 2311, 713, 1448, 630, 279, 2420, 2608, 476, 275, 264, 815, 476, 12553, 13728, 540, 5277, 829, 20645, 780, 24280, 519, 2148, 829, 20645, 676, 9256, 17529, 543, 20990, 609, 13728, 540, 5277, 1384, 263, 12553, 1166, 23520, 1315, 20645, 264, 2608, 630, 272, 2148, 1315, 476, 3451, 269, 279, 1691, 1166, 269, 23520, 4700, 25883, 274, 4281, 276, 20990, 829, 2475, 20645, 540, 5277, 692, 2691, 596, 3434, 543, 1246, 5986, 543, 5986, 5528, 267, 596, 991, 547, 2697, 519, 9424, 780, 2710, 711, 13248, 1216, 883, 13728, 1282, 519, 1079, 18826, 3017, 780, 296, 576, 12274, 616, 851, 540, 519, 4320, 267, 1247, 3819, 13728, 616, 6027, 676, 2597, 780, 2691, 4946, 1216, 547, 519, 7848, 267, 581, 2386, 547, 2015, 3368, 519, 1216, 780, 1692, 1082, 538, 3368, 513, 20645, 2496, 763, 2626, 568, 2241, 282, 898, 568, 476, 5038, 13728, 543, 513, 3368, 17529, 269, 898, 1058, 581, 7074, 602, 13728, 616, 6825, 609, 606, 968, 9926, 892, 3090, 267, 1247, 15559, 616, 6825, 609, 606, 968, 4148, 12063, 892, 3090, 780, 3086, 267, 1577, 779, 2268, 4837, 543, 513, 20645, 899, 713, 692, 272, 7484, 543, 5216, 13728, 454, 10521, 11680, 616, 827, 476, 1626, 13728, 454, 275, 11680, 936, 476, 3953, 3275, 454, 279, 11680, 829, 476, 5038, 268, 8784, 7674, 1331, 3368, 513, 20645, 454, 1626, 11680, 540, 476, 12553, 13728, 538, 476, 272, 20645, 454, 8245, 2952, 2322, 267, 476, 1626, 11680, 540, 1216, 829, 20645, 780, 302, 1846, 616, 513, 2597, 2530, 2808, 538, 519, 5177, 543, 2475, 269, 1261, 26693, 28465, 695, 650, 902, 543, 26693, 827, 835, 26412, 693, 476, 2764, 269, 3374, 10101, 780, 2791, 666, 4766, 824, 1919, 267, 971, 607, 24966, 543, 2934, 267, 971, 607, 12274, 780, 20428, 912, 303, 2794, 7219, 568, 513, 1587, 602, 568, 2442, 538, 1977, 2528, 609, 513, 5595, 2295, 267, 25250, 609, 519, 2262, 968, 6549, 9731, 763, 1599, 540, 519, 1216, 11480, 568, 851, 540, 1977, 2528, 267, 543, 922, 1198, 814, 1044, 27571, 547, 968, 4148, 269, 23520, 834, 269, 22159, 610, 9864, 8569, 563, 14532, 540, 1352, 330, 1564, 912, 13670, 271, 268, 9610, 271, 282, 5664, 2296, 19590, 2999, 29557, 3943, 2999, 31142, 26412, 3184, 12964, 267, 6279, 267, 13728, 267, 3597, 540, 267, 630, 322, 712, 17940, 281, 8675, 2593, 2020, 2005, 568, 1271, 547, 4063, 602, 14836, 543, 12035, 798, 711, 723, 519, 1482, 2450, 543, 2597, 269, 1635, 8159, 519, 2179, 540, 1216, 267, 519, 15018, 2164, 5815, 519, 2597, 780, 3719, 519, 17847, 568, 711, 936, 2943, 269, 1703, 616, 1614, 10457, 585, 713, 5180, 692, 272, 17833, 821, 630, 7343, 548, 267, 7330, 264, 815, 476, 12553, 589, 684, 3150, 630, 7343, 548, 267, 7330, 994, 272, 17833, 821, 630, 22416, 8403, 267, 7330, 264, 815, 476, 16825, 269, 280, 5379, 10019, 589, 684, 3150, 630, 7343, 548, 267, 7330, 994, 272, 17833, 821, 630, 18197, 8003, 264, 815, 476, 8182, 589, 684, 3150, 630, 18197, 8003, 994, 4462, 322, 773, 538, 2296, 912, 763, 1895, 22179, 827, 4557, 6550, 630, 822, 7546, 16632, 12251, 5148, 476, 272, 26412, 11224, 476, 275, 4391, 269, 276, 5452, 610, 476, 2764, 267, 4097, 280, 10101, 454, 763, 12063, 814, 1044, 27571, 692, 763, 1895, 22179, 12964, 695, 650, 902, 829, 20267, 732, 538, 519, 31684, 610, 7442, 6139, 322, 2456, 282, 476, 272, 26412, 11224, 476, 21878, 5452, 610, 476, 4029, 267, 9818, 10101, 454, 306, 7288, 532, 538, 519, 7330, 912, 7076, 540, 851, 267, 6697, 547, 476, 272, 270, 1626, 1790, 895, 1285, 7546, 16632, 12251, 610, 476, 1626, 24409, 630, 2764, 269, 276, 5392, 279, 10101, 994, 933, 662, 338, 607, 1454, 607, 476, 272, 22397, 482, 1321, 11013, 610, 476, 736, 29784, 30135, 630, 4029, 267, 9818, 276, 10101, 994, 1492, 2597, 540, 519, 1895, 267, 3160, 547, 519, 2597, 540, 519, 3284, 6139, 322, 2456, 540, 476, 16006, 6550, 476, 16006, 476, 279, 6337, 630, 4029, 267, 9818, 276, 10101, 994, 9288, 5501, 618, 2409, 616, 1759, 593, 519, 1977, 7344, 4702, 543, 519, 10504, 780, 2690, 10014, 538, 513, 1507, 8708, 540, 4915, 780, 7343, 6918, 2954, 476, 1789, 1984, 4106, 619, 829, 11281, 4320, 630, 3467, 982, 476, 3066, 269, 6872, 274, 276, 3066, 278, 1984, 4106, 619, 2020, 279, 28244, 815, 476, 272, 7484, 692, 8867, 15875, 11829, 517, 630, 18197, 8003, 2187, 3412, 704, 658, 11829, 517, 630, 20084, 264, 568, 513, 2268, 540, 519, 2179, 540, 4568, 610, 519, 2450, 540, 513, 8708, 547, 2445, 1216, 267, 7488, 540, 519, 2450, 540, 519, 1216, 269, 4475, 267, 835, 7047, 517, 540, 1216, 15320, 689, 835, 20645, 540, 824, 15559, 780, 763, 2011, 2604, 568, 6059, 547, 581, 476, 275, 269, 276, 5379, 6021, 20990, 543, 1869, 6585, 606, 1858, 540, 722, 489, 25991, 275, 269, 276, 5379, 12945, 17744, 630, 32191, 476, 1626, 269, 276, 4699, 12945, 6279, 6393, 302, 559, 676, 519, 772, 2529, 269, 2229, 543, 3282, 676, 519, 2136, 2276, 616, 1018, 1034, 2462, 4872, 616, 13889, 532, 269, 2475, 269, 513, 20645, 568, 3989, 607, 476, 23211, 12945, 18126, 543, 11224, 476, 274, 267, 4281, 276, 20990, 269, 2290, 20645, 540, 10504, 11224, 476, 272, 269, 273, 6550, 540, 3282, 538, 519, 2136, 2276, 780, 291, 787, 4006, 538, 3013, 568, 519, 1101, 3375, 585, 519, 11183, 540, 7423, 610, 824, 12015, 5613, 269, 898, 4769, 1406, 1491, 1279, 547, 946, 267, 855, 621, 729, 2673, 547, 476, 28803, 267, 26764, 276, 12945, 3952, 780, 7312, 960, 568, 538, 519, 5665, 1062, 269, 634, 1034, 2442, 616, 519, 3703, 11440, 1062, 543, 519, 1977, 11440, 1062, 14842, 1062, 269, 1452, 941, 3226, 2442, 1813, 547, 519, 2551, 267, 4567, 543, 8456, 540, 519, 5177, 543, 2475, 269, 3502, 1152, 602, 267, 855, 824, 3292, 616, 2139, 543, 666, 849, 581, 1031, 11451, 538, 606, 4959, 11281, 1062, 602, 1281, 711, 1489, 3334, 547, 1489, 513, 2241, 12122, 269, 476, 1015, 1949, 780, 3412, 704, 658, 1899, 630, 275, 267, 27174, 20990, 264, 476, 279, 20990, 543, 476, 736, 1166, 12063, 476, 8182, 1166, 12063, 1315, 544, 1872, 20645, 630, 349, 476, 2764, 16720, 1315, 1166, 12063, 2020, 4785, 11829, 517, 630, 274, 267, 4281, 276, 22175, 619, 264, 543, 476, 279, 2475, 533, 842, 829, 476, 12553, 2475, 1166, 12063, 1315, 2475, 11829, 517, 630, 349, 476, 1789, 16720, 1315, 2475, 1166, 12063, 2020, 2467, 616, 3604, 1063, 11197, 538, 519, 3703, 543, 2475, 10470, 780, 4785, 454, 272, 17833, 821, 630, 24433, 267, 11197, 264, 815, 476, 274, 267, 4281, 276, 20990, 454, 272, 6183, 815, 476, 3451, 267, 279, 1691, 13728, 630, 4785, 13728, 994, 272, 2148, 540, 1216, 815, 476, 274, 269, 4281, 276, 1535, 476, 3451, 269, 279, 1691, 815, 476, 12553, 13728, 454, 272, 6995, 538, 519, 2136, 2276, 568, 6697, 547, 476, 12553, 29225, 538, 519, 2136, 2276, 563, 13295, 267, 476, 272, 270, 273, 540, 519, 2136, 2276, 22179, 538, 693, 476, 5038, 772, 2529, 269, 1352, 330, 1564, 563, 20084, 454, 272, 17833, 821, 630, 20084, 267, 1426, 264, 815, 476, 275, 269, 276, 5379, 6021, 20990, 454, 272, 6183, 815, 476, 3374, 267, 4489, 13728, 630, 4248, 689, 4279, 6628, 994, 272, 17833, 821, 647, 6072, 807, 815, 476, 275, 269, 276, 5379, 6021, 1535, 476, 3374, 269, 4198, 272, 815, 476, 8182, 513, 684, 3150, 454, 272, 5177, 2450, 3160, 547, 476, 8182, 772, 14389, 269, 26412, 540, 11945, 454, 3383, 476, 272, 270, 273, 5177, 8297, 701, 525, 11224, 476, 4792, 772, 21993, 269, 26412, 540, 11945, 692, 272, 20645, 630, 18197, 2276, 267, 11197, 264, 11224, 476, 12553, 4559, 630, 18197, 2276 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 256, 1315, 23591, 15828, 5914, 24800, 270, 7090, 274, 692, 5814, 19523, 454, 5814, 2979, 692, 3698, 1292, 10031, 453, 344, 318, 10094, 815, 11713, 28768, 453, 12803, 272, 815, 1930, 4433, 903, 27769, 341, 314, 272, 3910, 1412, 337, 5073, 453, 6050, 815, 3758, 272, 18667, 6050, 10797, 22610, 1899, 538, 3515, 912, 453, 453, 344, 318, 10094, 6910, 263, 15615, 263, 1467, 21858, 3488, 1412, 25011, 272, 8079, 2020, 453, 333, 815, 7003, 12169, 318, 10094, 994, 453, 11743, 815, 10581, 4433, 636, 12169, 318, 10094, 264, 1315, 3193, 3799, 267, 476, 272, 11723, 13537, 19304, 263, 11743, 11723, 10852, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5814, 19523, 454, 333, 815, 703, 9272, 14061, 29328, 15405, 1721, 1775, 538, 2039, 263, 272, 267, 1556, 2187, 13537, 3488, 260, 323, 1535, 4939, 323, 815, 4939, 323, 1412, 4939, 263, 333, 267, 328, 19885, 265, 328, 4917, 0, 5228, 561, 343, 6447, 1104, 16814, 454, 5814, 13668, 692, 3698, 1612, 572, 17750, 9272, 318, 974, 600, 17107, 453, 6358, 318, 974, 600, 815, 3403, 318, 974, 600, 31573, 14061, 29328, 10797, 14851, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 541, 714, 7431, 14776, 10587, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 541, 714, 7431, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 323, 3554, 1180, 10587, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 926, 4840, 453, 2187, 453, 16596, 834, 291, 3554, 1180, 10587, 267, 2752, 296, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 520, 331, 9017, 2909, 1407, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 520, 331, 9017, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 3630, 1407, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 520, 331, 4840, 453, 2187, 453, 16596, 834, 24154, 1407, 267, 2969, 299, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 4472, 339, 20095, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 528, 2723, 525, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 4472, 339, 20095, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 528, 2723, 525, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 4472, 4840, 453, 2187, 453, 16596, 834, 302, 686, 3421, 32390, 3201, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 321, 10667, 2699, 865, 343, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 321, 10667, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 1042, 865, 343, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 321, 657, 4840, 453, 2187, 453, 16596, 834, 16446, 1924, 343, 32390, 5308, 4840, 453, 19197, 3403, 318, 974, 600, 2652, 834, 577, 8522, 7750, 338, 257, 610, 3403, 318, 974, 600, 2652, 834, 31957, 338, 257, 610, 3403, 318, 974, 600, 2652, 834, 577, 322, 13426, 453, 16596, 834, 290, 889, 338, 267, 6224, 290, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 577, 8522, 3043, 865, 343, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 19009, 865, 343, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 577, 342, 4840, 453, 2187, 453, 16596, 834, 19669, 1924, 343, 267, 6224, 310, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 322, 32385, 10620, 556, 1091, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 322, 32385, 10620, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 1042, 338, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 11142, 4840, 453, 2187, 453, 16596, 834, 305, 2644, 267, 290, 2562, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 2193, 22093, 967, 2103, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 2193, 22093, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 785, 2103, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 2193, 4840, 453, 2187, 453, 16596, 834, 5715, 2103, 267, 290, 4041, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 10233, 5964, 4224, 625, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 10233, 5964, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 13702, 625, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 3712, 4840, 453, 2187, 453, 16596, 834, 305, 1442, 625, 267, 4596, 299, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 30956, 20936, 27683, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 30956, 20936, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 339, 22061, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 30956, 4840, 453, 2187, 453, 16596, 834, 307, 22061, 267, 291, 4953, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 17924, 8725, 4230, 4592, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 17924, 8725, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 770, 4592, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 17924, 4840, 453, 2187, 453, 16596, 834, 22349, 4592, 267, 295, 5495, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 330, 12436, 2749, 887, 344, 1023, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 330, 12436, 2749, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 5797, 1023, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 330, 13062, 4840, 453, 2187, 453, 16596, 834, 305, 1195, 1023, 267, 298, 10135, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 32221, 2587, 7062, 23109, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 3570, 8583, 23109, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 3570, 8583, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 836, 1564, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 3570, 4840, 453, 2187, 453, 16596, 834, 17951, 1564, 267, 288, 2793, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 32221, 2587, 7062, 546, 617, 7970, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 32221, 2587, 7062, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 323, 617, 7970, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 19921, 4840, 453, 2187, 453, 16596, 834, 291, 617, 7970, 267, 299, 4696, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 332, 22585, 2261, 331, 1231, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 325, 3271, 5866, 2261, 331, 1231, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 332, 22585, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 325, 3271, 5866, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 3405, 331, 1231, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 4148, 320, 4840, 453, 2187, 453, 16596, 834, 11321, 331, 1231, 267, 293, 6369, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 332, 559, 342, 879, 27365, 1786, 9955, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 332, 559, 342, 879, 27365, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 3691, 9955, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 332, 559, 4840, 453, 2187, 453, 16596, 834, 289, 4319, 619, 267, 300, 6579, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 2381, 16121, 21054, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 2381, 16121, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 13512, 1231, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 2381, 4840, 453, 2187, 453, 16596, 834, 23562, 1231, 267, 300, 2562, 4840, 453, 19197, 3403, 318, 974, 600, 2652, 834, 2908, 26294, 544, 1115, 257, 610, 3403, 318, 974, 600, 2652, 834, 332, 1115, 257, 610, 3403, 318, 974, 600, 2652, 834, 333, 2096, 13426, 453, 16596, 834, 300, 1115, 267, 29369, 300, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 2908, 26294, 586, 534, 651, 525, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 12505, 651, 525, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 5500, 344, 4840, 453, 2187, 453, 16596, 834, 312, 534, 651, 525, 267, 29369, 312, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 334, 752, 1633, 7619, 923, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 334, 752, 1633, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 987, 2280, 923, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 553, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 320, 781, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 334, 752, 4840, 453, 2187, 453, 16596, 834, 288, 628, 2280, 923, 267, 29151, 298, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 874, 559, 14702, 943, 650, 625, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 874, 559, 14702, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 874, 650, 625, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 12978, 4840, 453, 2187, 453, 16596, 834, 4942, 650, 625, 267, 15771, 296, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 335, 527, 1206, 15734, 31503, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 335, 527, 1206, 15734, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 2869, 919, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 335, 527, 4840, 453, 2187, 453, 16596, 834, 303, 29521, 267, 303, 3951, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 338, 534, 5884, 2998, 14950, 637, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 338, 534, 5884, 2998, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 25247, 637, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 338, 31389, 4840, 453, 2187, 453, 16596, 834, 303, 611, 637, 267, 306, 7894, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 338, 534, 21473, 322, 8646, 23766, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 338, 534, 21473, 322, 8646, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 22080, 1218, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 338, 325, 326, 4840, 453, 2187, 453, 16596, 834, 294, 328, 1218, 267, 306, 293, 294, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 572, 4490, 2261, 29794, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 572, 4490, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 3405, 29794, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 22855, 4840, 453, 2187, 453, 16596, 834, 11321, 29794, 267, 10345, 288, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 560, 21514, 529, 3556, 10904, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 560, 269, 21514, 529, 3556, 10904, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 560, 21514, 529, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 560, 269, 21514, 529, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 15258, 10904, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 560, 331, 4840, 453, 2187, 453, 16596, 834, 25205, 10904, 267, 4306, 299, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 339, 2086, 320, 15922, 12345, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 339, 2086, 320, 15922, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 7590, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 339, 2086, 320, 15922, 26881, 12345, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 22563, 559, 12345, 4840, 453, 453, 528, 3403, 318, 974, 600, 2652, 834, 339, 321, 323, 4840, 453, 2187, 453, 16596, 834, 305, 904, 267, 307, 9720, 4840, 453, 19197, 27210, 453, 453, 6358, 318, 974, 600, 2652, 834, 23753, 553, 678, 13377, 4840, 453, 453, 528, 3403, 318, 974 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2378, 321, 1356, 342, 329, 331, 274, 330, 11859, 333, 734, 335, 272, 2967, 1433, 6227, 519, 9238, 540, 2780, 6189, 267, 7713, 875, 2780, 3965, 1568, 563, 2005, 3217, 3988, 998, 3403, 543, 3977, 269, 7454, 2139, 593, 2780, 3919, 543, 6189, 269, 5901, 338, 1169, 3364, 2241, 269, 15020, 2653, 547, 1174, 269, 9046, 5036, 616, 2731, 3044, 269, 4347, 17802, 267, 952, 1224, 5265, 267, 519, 5467, 786, 1831, 606, 4274, 593, 713, 1641, 270, 276, 263, 1839, 1040, 8950, 15339, 543, 9257, 676, 3220, 269, 681, 269, 631, 269, 590, 20672, 325, 3072, 563, 1607, 4063, 6941, 519, 1739, 3584, 281, 7089, 7010, 543, 25226, 267, 29491, 10789, 267, 31016, 2795, 21476, 267, 634, 2372, 710, 5062, 5141, 639, 4486, 23990, 267, 10395, 24676, 27989, 267, 14271, 28942, 14938, 1113, 20603, 267, 3204, 8651, 543, 6076, 1562, 267, 19193, 18734, 543, 5843, 4238, 267, 9978, 8950, 9257, 543, 5071, 267, 5843, 23553, 6513, 267, 4469, 334, 908, 563, 19878, 476, 1428, 267, 5788, 5261, 853, 718, 902, 262, 1433, 2488, 3102, 543, 4625, 909, 3562, 15082, 3795, 540, 2780, 3919, 543, 6189, 1519, 3965, 267, 594, 23860, 267, 543, 6252, 1949, 269, 634, 1257, 6227, 3056, 12967, 2127, 267, 1519, 25436, 5632, 541, 1374, 267, 29722, 1374, 2934, 267, 543, 6252, 16267, 3919, 3466, 270, 276, 263, 1626, 1916, 19177, 6066, 16771, 540, 519, 1655, 8950, 3163, 543, 7177, 1837, 540, 519, 1032, 8366, 689, 519, 30930, 543, 14288, 22439, 5948, 267, 8950, 9257, 543, 15339, 281, 27588, 585, 13437, 2488, 513, 9488, 4901, 540, 519, 17950, 540, 2780, 3919, 543, 6189, 267, 8720, 711, 1175, 16267, 1374, 267, 855, 269, 1284, 3177, 519, 8281, 25103, 547, 8950, 9257, 21584, 5131, 8281, 268, 1535, 333, 734, 3199, 26698, 2378, 321, 1356, 342, 329, 331, 274, 330, 11859, 333, 734, 335, 272, 2967, 476, 273, 526, 5729, 17976, 11872, 267, 7734, 267, 5530, 10049, 21584, 267, 585, 7177, 4841, 563, 12179, 2160, 2875, 666, 4647, 2016, 1535, 333, 734, 3199, 26698, 2378, 321, 1356, 342, 329, 331, 274, 330, 11859, 333, 734, 335, 272, 2967, 8950, 9257, 543, 5530, 1570, 610, 596, 666, 4444, 1535, 333, 734, 3199, 26698, 2378, 321, 1356, 342, 329, 331, 274, 330, 11859, 333, 734, 335, 272, 2967, 476, 273, 526, 5729, 8950, 9257, 7734, 693, 8835, 849, 269, 9523, 713, 2376, 609, 707, 15032, 543, 2828, 8191, 281, 11545, 1401, 4461, 269, 7454, 13129, 7734, 1107, 8950, 9257, 543, 15339, 7454, 13129, 7734, 1107, 12229, 7177, 7454, 13129, 7734, 1107, 12130, 1886, 549, 25600, 543, 5843, 27196, 563, 11321, 476, 4905, 267, 5788, 1535, 333, 734, 3199, 26698, 2378, 321, 1356, 342, 329, 331, 274, 330, 11859, 333, 734, 335, 272, 2967, 910, 16179, 8950, 9257, 543, 15339, 630, 19365, 853, 718, 902, 7734, 593, 8950, 543, 4578, 18058, 630, 24874, 9990, 4297, 1433, 2228, 693, 1655, 5777, 538, 3127, 593, 1535, 333, 734, 3199, 26698, 2378, 321, 1356, 342, 329, 331, 274, 330, 11859, 333, 734, 335, 272, 2967, 3367, 8950, 9257, 543, 15339, 630, 19365, 853, 718, 902, 7734, 593, 8950, 543, 4578, 18058, 630, 24874, 9990, 4297, 1433, 8039, 1299, 2278, 3877, 543, 811, 693, 1535, 333, 734, 3199, 26698, 2378, 321, 1356, 342, 329, 331, 274, 330, 11859, 333, 734, 335, 272, 2967, 5131, 6765, 17352, 281, 3057, 476, 1839, 267, 5788, 8950, 15339, 13565, 7734, 563, 20663, 15339, 543, 5071, 7734, 689, 21546, 918, 31348, 10458, 23255, 269, 31349, 17976, 593, 674, 5435, 570, 26985, 8950, 15339, 676, 12253, 808, 269, 29813, 514, 6902, 8950, 15339, 281, 3245, 12130, 1886, 549, 25600, 547, 8111, 28669, 619, 267, 10228, 267, 910, 30930, 585, 606, 5580, 1673, 643, 1707, 15938, 1576, 267, 609, 476, 2764, 11000, 20695, 11271, 267, 2042, 563, 20663, 9257, 543, 15339, 20861, 269, 8950, 9257, 543, 15339, 20861, 2488, 538, 3829, 1702, 540, 4835, 2324, 267, 1785, 1005, 267, 543, 6388, 540, 513, 2780, 1062, 269, 24641, 267, 9257, 11225, 519, 1259, 519, 1062, 568, 11295, 865, 602, 782, 1346, 17048, 4240, 2645, 666, 581, 1031, 5265, 269, 4119, 476, 1789, 267, 5788, 2780, 3919, 543, 6189, 9373, 707, 5985, 1297, 610, 4757, 2232, 2630, 543, 649, 3513, 6494, 596, 513, 3095, 547, 4647, 519, 1863, 28632, 2561, 563, 10190, 596, 666, 1376, 2542, 28632, 2835, 593, 707, 16335, 267, 16979, 267, 610, 2780, 910, 1100, 28632, 3926, 1535, 333, 734, 3199, 26698, 2378, 321, 1356, 342, 329, 331, 274, 330, 11859, 333, 734, 335, 272, 9820, 281, 476, 275, 269, 5261, 853, 718, 902, 814, 1500, 513, 2189, 9295, 547, 1620, 519, 3376, 30908, 540, 2930, 7835, 538, 2780, 13033, 543, 2780, 6189, 563, 3891, 814, 30363, 476, 1240, 10643, 267, 543, 10203, 15428, 21820, 267, 513, 2698, 540, 476, 3374, 2835, 593, 1585, 3344, 540, 891, 5396, 269, 769, 936, 476, 736, 1296, 538, 519, 2361, 267, 646, 814, 1044, 513, 2930, 23784, 267, 2930, 9614, 267, 543, 606, 10324, 609, 1896, 1164, 1315, 276, 263, 736, 1916, 20225, 476, 2767, 267, 5788, 8950, 15339, 543, 9257, 7824, 11872, 1107, 11404, 302, 7824, 4967, 3758, 13017, 281, 13159, 11872, 269, 8074, 281, 1452, 4967, 616, 2687, 547, 519, 681, 6021, 28924, 16086, 1433, 540, 808, 18199, 308, 269, 476, 279, 26972, 540, 681, 6021, 21038, 616, 5916, 883, 476, 276, 26972, 538, 681, 1724, 1299, 681, 1428, 1535, 333, 734, 3199, 26698, 2378, 321, 1356, 342, 329, 331, 274, 330, 11859, 333, 734, 335, 272, 2967, 596, 723, 1022, 22027, 5225, 3277, 547, 519, 808, 18199, 308, 28924, 16086, 3883, 563, 8923, 1745, 1863, 547, 2671, 707, 8292, 2630, 1299, 938, 2319, 786, 1205, 1394, 547, 596, 952, 2877, 270, 276, 263, 2420, 1040, 17976, 6215, 1938, 281, 570, 16604, 281, 4985, 8950, 9257, 543, 15339, 7300, 6215, 1938, 282, 674, 6020, 281, 3778, 540, 8950, 3590, 543, 19019, 5590, 15339, 7300, 6215, 1938, 282, 631, 2177, 281, 4985, 547, 24696, 4916, 19019, 5590, 630, 6635, 603, 27027, 267, 19193, 267, 15350, 267, 299, 1933, 270, 1805, 648, 264, 7300, 6215, 1938, 20886, 314, 9501, 8379, 270, 11085, 4916, 14871, 15015, 267, 25715, 589, 540, 7009, 1145, 344, 4793, 3205, 3883, 14963, 14073, 20663, 3590, 15339, 676, 631, 269, 24261, 2494, 334, 1285, 326, 12773, 2443, 16863, 2443, 3370, 2443, 476, 1321, 21820, 269, 9050, 6066, 16771, 540, 519, 1655, 8950, 3163, 543, 7177, 1837, 540, 519, 1032, 8366, 689, 519, 30930, 543, 14288, 22439, 5948, 267, 8950, 9257, 543, 15339, 281, 27588, 585, 13437, 2488, 513, 9488, 4901, 540, 519, 17950, 540, 2780, 3919, 543, 6189, 267, 8720, 711, 1175, 16267, 1374, 267, 855, 15952, 281, 623, 1370, 823, 8065, 267, 5549, 563, 22261, 476, 1724, 267, 5788, 910, 8950, 25944, 717, 12442, 700, 624, 999, 910, 7454, 3883, 1280, 8950, 9257, 910, 2910, 19835, 3883, 910, 717, 12442, 3883, 8950, 9257, 6657, 8950, 25944, 543, 15339, 2055, 609, 17676, 269, 4239, 476, 2537, 267, 5788, 8950, 9257, 543, 15339, 281, 27588, 585, 13437, 853, 718, 902, 281, 6271, 1434, 1433, 269, 8950, 7010, 281, 1323, 21091, 13979, 547, 15339, 543, 21952, 7010, 269, 10548, 778, 663, 3757, 281, 7324, 1079, 540, 519, 1655, 31047, 547, 713, 1641, 267, 519, 824, 835, 1373, 676, 14161, 8621, 12329, 563, 20663, 7010, 281, 589, 5358, 11302, 5133, 269, 8950, 9257, 543, 15339, 17976, 11872, 269, 2780, 2838, 606, 2011, 8410, 1288, 539, 4055, 32586, 623, 7894, 268, 279, 630, 706, 321, 5523, 513, 1295, 545, 558, 13459, 676, 519, 2872, 267, 1310, 519, 1295, 7416, 7398, 540, 519, 1554, 264, 729, 1507, 2614, 602, 621, 1223, 581, 5116, 593, 1283, 540, 513, 2978, 14541, 610, 581, 3710, 883, 824, 3937, 563, 2005, 1223, 711, 798, 3388, 519, 1292, 18134, 1223, 267, 855, 693, 1269, 1626, 267, 621, 729, 269, 8950, 15339, 543, 9257, 267, 476, 274, 6113, 7160, 267, 2488, 513, 3102, 543, 909, 3562, 15082, 2070, 540, 519, 6189, 543, 4835, 3919, 540, 5904, 689, 513, 5631, 8800, 5133, 563, 14257, 476, 1839, 267, 5788, 901, 2985, 3568, 717, 12442, 11483, 19369, 11872, 1315, 20861, 338, 593, 9119, 267, 7913, 20603, 267, 8950, 9257, 543, 15339, 267, 14691, 543, 4578, 23113, 267, 27122, 267, 7869, 540, 6156, 566, 267, 3281, 8814, 5071, 267, 21952, 7010, 267, 18482, 5004, 7010, 630, 24174, 5960, 1070, 543, 8950, 17978, 7396, 2687, 547, 519, 717, 12442, 11483, 21038, 563, 1432, 616, 930, 540, 519, 2835, 585, 834, 26367, 13539, 543, 2895, 924, 19816, 675, 257, 799, 616, 1655, 585, 1582, 1353, 269, 6270, 513, 1257, 602, 835, 666, 30230, 1186, 519, 2462, 4605, 267, 543, 269, 4855, 513, 5458, 3099, 540, 1007, 1299, 1031, 23675, 8950, 15339, 2835, 2228, 1519, 1655, 8688, 619, 1299, 4686, 10643, 693, 519, 1655, 5777, 269, 19255, 23675, 8950, 15339, 2835, 693, 1325, 2320, 529, 269, 8950, 9257, 543, 15339, 269, 8950, 3919, 568, 513, 6609, 540, 519, 5122, 5547, 787, 540, 513, 2780, 602, 568, 6190, 585, 4625, 10503, 519, 5106, 540, 519, 8800, 563, 20663, 6189, 568, 519, 12497, 1374, 543, 4909, 10512, 2497, 540, 513, 2780, 1062, 269, 901, 1433, 6663, 547, 4001, 2780, 269, 9484, 476, 1626, 267, 5788, 8950, 9257, 543, 15339, 630, 4596, 288, 264, 1576, 568, 5189, 585, 25328, 538, 7177, 630, 23813, 264, 538, 4659, 540, 7177, 630, 22473, 292, 1070, 17650, 16852, 7079, 2160, 630, 307, 308, 264, 609, 519, 6859, 540, 3246, 519, 3919, 267, 6189, 543, 8888, 1523, 540, 2780, 1062, 1519, 16267, 6189, 267, 2780, 12980, 267, 3965, 1062, 267, 594, 23860, 3919, 543, 6687, 549, 25600, 563, 19878, 476, 4905, 267, 5788, 901, 568, 519, 1101, 3381, 538, 606, 2228, 1576, 593, 2780, 6189, 1759, 593, 1250, 1007, 1433, 267, 12181, 20663, 25944, 543, 15339, 1701, 898, 269, 4924, 476, 1428, 267, 5788, 8950, 9257, 543, 15339, 538, 19446, 4985, 1923, 2780, 3919, 10766, 1923, 2910, 476, 4905, 6168, 6092, 28982, 14886, 8080, 547, 4270, 9142, 538, 689, 563, 20663, 9257, 543, 15339, 568, 513, 3102, 3795, 540, 519, 3003, 2361, 540, 2780, 1374, 8242, 609, 519, 1034, 2487, 1382, 543, 10124, 538, 2780, 2497, 543, 1599, 269, 2060, 2312, 267, 13801, 267, 543, 2653, 3562, 22345, 1570, 267, 519, 570, 5460, 9990, 568, 17352, 281, 9484, 476, 1015, 267, 5788, 1452, 616, 519, 11571, 5299, 540, 4063, 2835, 2854, 676, 1053, 1247, 801, 532, 585, 519, 735, 5511, 981, 7041, 269, 11374, 1353, 1570, 568, 3730, 585, 717, 12442, 270, 22494, 270, 4916, 5825, 981, 563, 1607, 568, 4628, 8242, 1362, 4967, 585, 782, 717, 12442, 270, 22494, 270, 4916, 5825, 10457, 269, 8281, 1739, 4967, 676, 14467, 593, 4647, 7735, 269, 717, 12442, 4147, 11872, 8950, 3163, 630, 21652, 18838, 1040, 9484, 476, 3066, 267, 5788, 1535, 333, 734, 3199, 26698, 2378, 321, 1356, 342, 329, 331, 274, 330, 11859, 333, 734, 335, 272, 2967, 910, 16179, 8950, 9257, 543, 15339, 1923, 570, 5460, 9990, 1923, 1635, 21942, 1433, 2228, 693, 1655, 5777, 538, 3127, 593, 1535, 333, 734, 3199, 26698, 2378, 321, 1356, 342, 329, 331, 274, 330, 11859, 333, 734, 335, 272, 2967, 3367, 8950, 9257, 543, 15339, 1923, 570, 5460, 9990, 1923, 1635, 21942, 1433, 8039, 1299, 2278, 3877, 543, 811, 693, 17352, 281, 4119, 476, 866, 267, 5788, 3367, 8950, 9257, 1433, 8039, 1299, 2278, 3877, 543, 811, 693, 8621, 12329, 8950, 9257, 543, 15339, 281, 27588, 585, 13437, 563, 20663, 9257, 814, 16863, 543, 476, 278, 8039, 269, 25138, 1767, 281, 901, 568, 519, 1655, 1433, 594, 4076, 1336, 593, 1582, 19543, 2780, 3919, 269, 966, 269, 14161, 8621, 12329, 269, 20588, 18329, 4964, 29120, 3718, 269, 5463, 476, 1321, 267, 5788, 17125, 1407, 281, 2780, 1606, 7220, 589, 10855, 1433, 267, 8950, 9257, 543, 15339, 267, 20870, 7160, 267, 676, 5261, 853, 718, 902, 8045, 513, 1283, 16365, 1935, 585, 1565, 1970, 7400, 3344, 540, 2757, 5904, 689, 12511, 8546, 6189, 547, 519, 4207, 3044, 602, 568, 1315, 276, 263, 2537, 1916, 8340, 8950, 15339, 7956, 9248, 693, 909, 547, 476, 3445, 260, 1055, 269, 9578, 1205, 1863, 11288, 593, 27216, 9753, 1269, 1839, 266, 269, 7994, 689, 1031, 543, 1007, 9499, 610, 1205, 8216, 1569, 609, 552, 17806, 9248, 543, 3059, 2326, 269, 3967, 476, 2641, 267, 5788, 3509, 3906, 616, 5402, 12561, 713, 6189, 676, 3257, 1697, 2079, 540, 922, 5383, 543, 11393, 269, 3509, 4066, 267, 2645, 543, 10850, 616, 7153, 547, 948, 596, 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 ]
[ 917, 4010, 2608, 3602, 265, 594, 1838, 2105, 547, 1224, 454, 527, 269, 1703, 267, 12928, 3578, 729, 1767, 547, 723, 1101, 9916, 519, 454, 1492, 648, 3749, 4661, 1360, 267, 1360, 5402, 547, 4137, 454, 719, 2608, 25585, 265, 621, 729, 602, 519, 7811, 3808, 729, 865, 454, 332, 1276, 1732, 982, 782, 834, 335, 847, 1227, 1634, 257, 6620, 563, 2005, 729, 676, 801, 532, 519, 7811, 960, 593, 12985, 454, 1260, 14658, 640, 2608, 21671, 265, 602, 519, 1769, 546, 1177, 2740, 2390, 1864, 563, 263, 3719, 540, 1576, 267, 12928, 3578, 568, 834, 534, 4608, 805, 633, 546, 636, 2692, 3514, 454, 21671, 585, 2504, 960, 257, 910, 594, 993, 6340, 4401, 1227, 454, 1877, 267, 799, 1058, 581, 6654, 8094, 296, 6415, 711, 2386, 602, 781, 2731, 513, 1434, 1383, 540, 454, 6011, 3730, 834, 1492, 648, 3749, 960, 257, 2731, 568, 538, 2259, 912, 17764, 2386, 267, 9811, 267, 9811, 267, 621, 568, 269, 1809, 1250, 1966, 568, 547, 1265, 454, 320, 1434, 2707, 540, 519, 3312, 1650, 269, 9320, 835, 454, 1492, 834, 321, 21392, 257, 12985, 6988, 540, 918, 6573, 814, 454, 339, 29354, 856, 547, 581, 6140, 24631, 267, 538, 2259, 780, 11039, 267, 602, 781, 875, 1919, 1522, 2490, 856, 538, 519, 1279, 2196, 563, 26170, 267, 693, 519, 942, 267, 547, 782, 23079, 267, 621, 2608, 13195, 265, 513, 454, 13826, 540, 4052, 5876, 2608, 339, 3419, 13499, 265, 676, 15151, 454, 335, 675, 569, 7811, 960, 538, 6988, 3069, 780, 5415, 4277, 982, 707, 3843, 547, 9496, 1524, 454, 821, 2027, 2013, 540, 519, 811, 2489, 7613, 540, 454, 1492, 800, 1266, 754, 1359, 5876, 1131, 581, 547, 917, 454, 20365, 2990, 593, 519, 811, 2489, 2243, 13718, 2005, 4523, 2608, 21865, 265, 538, 6323, 267, 596, 1634, 269, 18160, 454, 529, 1152, 835, 1383, 540, 1082, 269, 6754, 328, 781, 12605, 540, 454, 1492, 6228, 540, 519, 22011, 3626, 568, 1776, 269, 898, 3576, 454, 23024, 14939, 1235, 513, 1390, 4308, 540, 942, 543, 9639, 454, 263, 12671, 476, 736, 1296, 267, 594, 993, 5143, 264, 2394, 789, 1223, 6368, 454, 332, 13831, 1945, 2179, 532, 547, 834, 23024, 14939, 6169, 4840, 1993, 6754, 328, 781, 28756, 675, 780, 8802, 1841, 2676, 22146, 454, 734, 454, 257, 16987, 1466, 1510, 3069, 568, 9420, 2676, 8117, 3069, 1510, 1995, 568, 6071, 454, 842, 21526, 1404, 4799, 268, 1955, 28609, 23006, 692, 14872, 16987, 1466, 3788, 267, 540, 1576, 267, 519, 6852, 21205, 454, 1993, 519, 2608, 583, 1006, 265, 540, 513, 6310, 4070, 563, 3719, 2608, 1492, 265, 16579, 633, 265, 1440, 4532, 2118, 265, 29084, 538, 6128, 269, 26872, 454, 268, 15751, 18160, 281, 2485, 495, 763, 2622, 1306, 594, 6423, 898, 382, 496, 692, 14872, 763, 31485, 19124, 13391, 1228, 5143, 803, 602, 267, 950, 646, 454, 13195, 18226, 609, 6754, 328, 835, 1554, 267, 6754, 328, 608, 13094, 2676, 257, 9213, 594, 723, 2944, 519, 10782, 3364, 585, 513, 7811, 454, 31850, 545, 626, 269, 594, 723, 11827, 1945, 799, 666, 2760, 454, 2041, 9571, 4603, 958, 1701, 13391, 1228, 5612, 6035, 454, 1729, 914, 513, 1835, 622, 540, 13084, 27158, 602, 519, 21792, 22011, 3626, 454, 30524, 835, 1554, 6961, 21443, 762, 547, 8097, 6602, 563, 26469, 328, 7608, 267, 796, 3772, 569, 17528, 547, 14574, 1022, 942, 454, 3916, 527, 267, 799, 1500, 621, 7543, 585, 1864, 2479, 547, 3094, 454, 1492, 914, 269, 13391, 1228, 6394, 1010, 1835, 622, 540, 13084, 27158, 630, 553, 454, 296, 666, 1449, 1518, 267, 2348, 5280, 13391, 1228, 8532, 513, 11480, 540, 621, 994, 15290, 267, 1175, 936, 8938, 1296, 2663, 267, 538, 476, 4198, 274, 267, 21582, 534, 543, 454, 3725, 1149, 1705, 8197, 8011, 538, 16326, 6754, 328, 382, 496, 338, 9325, 269, 26872, 454, 268, 12049, 670, 1195, 548, 281, 2485, 495, 22349, 25348, 543, 15328, 17443, 382, 496, 454, 12914, 476, 1626, 1412, 4962, 1948, 1839, 454, 22146, 853, 777, 2536, 5206, 912, 2005, 5828, 856, 602, 519, 22622, 311, 29085, 1185, 1044, 454, 2193, 591, 2614, 547, 11876, 626, 1010, 2241, 16490, 1449, 454, 13892, 856, 540, 519, 6117, 8520, 269, 769, 1249, 267, 938, 22622, 311, 454, 20412, 730, 519, 1560, 540, 519, 8520, 1152, 2608, 517, 576, 20330, 663, 3976, 2608, 9404, 2664, 2299, 265, 9307, 602, 621, 1185, 8737, 454, 1492, 2898, 1449, 910, 519, 29085, 593, 713, 2875, 781, 454, 15425, 267, 593, 519, 824, 1688, 267, 1185, 711, 1044, 15931, 2614, 454, 1721, 713, 1826, 540, 11938, 281, 8754, 519, 3017, 13718, 296, 1589, 713, 568, 2731, 513, 13657, 776, 9661, 585, 454, 23024, 14939, 1235, 281, 1810, 1405, 2608, 10964, 10079, 265, 538, 519, 20068, 4369, 454, 1993, 519, 4093, 707, 6901, 267, 855, 2119, 547, 2608, 16187, 20330, 1993, 519, 3510, 264, 13718, 8802, 1841, 2676, 22146, 692, 12148, 1620, 568, 540, 1576, 519, 4998, 267, 855, 607, 6988, 4679, 454, 16838, 7811, 1344, 593, 513, 1950, 1062, 3587, 18106, 607, 454, 11004, 616, 1419, 824, 7506, 602, 786, 1198, 519, 6364, 780, 3383, 519, 596, 1223, 2161, 281, 1810, 1405, 2608, 323, 2570, 265, 593, 519, 1264, 28467, 540, 707, 454, 1492, 648, 3749, 1344, 267, 2119, 547, 2608, 591, 1518, 265, 519, 14496, 540, 707, 2164, 454, 5976, 6901, 780, 10267, 619, 2676, 305, 517, 692, 12914, 476, 1626, 1412, 4962, 1948, 2918, 454, 22146, 853, 777, 2536, 5206, 912, 22146, 853, 777, 2536, 5206, 912, 1607, 4901, 5956, 547, 3280, 899, 519, 18596, 454, 1173, 3701, 835, 30650, 1063, 7811, 543, 454, 23024, 14939, 21575, 269, 21885, 1235, 4043, 454, 1729, 936, 3433, 519, 2956, 540, 8097, 1239, 454, 263, 3553, 1154, 909, 513, 3730, 4603, 267, 875, 547, 4612, 454, 1492, 8097, 1239, 835, 1287, 5531, 338, 267, 543, 2436, 454, 821, 6763, 1022, 4960, 540, 16326, 9836, 6959, 454, 1993, 6482, 267, 782, 4096, 593, 2348, 513, 1434, 2608, 1492, 800, 20330, 514, 519, 1101, 1747, 1040, 11933, 339, 5974, 267, 593, 519, 824, 1688, 2676, 339, 754, 547, 936, 3433, 519, 2956, 540, 519, 25843, 540, 454, 1492, 1559, 269, 769, 5168, 267, 2608, 18485, 265, 616, 2877, 281, 1434, 6436, 454, 265, 663, 265, 5402, 6394, 8097, 1239, 780, 8802, 1841, 2676, 22146, 692, 2304, 4277, 6252, 666, 581, 1500, 7282, 2359, 540, 2504, 454, 341, 338, 454, 2006, 1771, 540, 5876, 780, 1103, 2489, 267, 2504, 2115, 11974, 543, 5955, 547, 1202, 675, 2298, 267, 855, 454, 15884, 1419, 2097, 547, 513, 1796, 1869, 952, 18106, 2200, 616, 2139, 780, 8489, 607, 5876, 2115, 11974, 547, 1202, 675, 2504, 267, 855, 538, 1082, 2665, 454, 4754, 1869, 581, 11327, 1256, 609, 18106, 610, 30940, 2200, 563, 763, 2298, 949, 1360, 3833, 513, 3787, 538, 1312, 8846, 267, 855, 538, 3860, 454, 339, 3696, 267, 602, 568, 547, 581, 4397, 780, 1103, 1082, 2081, 23501, 616, 513, 7848, 540, 891, 1079, 269, 594, 1589, 594, 543, 454, 17556, 1597, 454, 2224, 513, 2511, 602, 568, 6251, 547, 519, 3860, 1935, 269, 594, 1205, 519, 4743, 454, 20365, 4282, 949, 581, 6251, 547, 519, 2504, 2511, 780, 1607, 5868, 19595, 803, 540, 595, 14371, 269, 28044, 267, 519, 18673, 2676, 15367, 267, 1310, 2348, 5189, 519, 2035, 540, 3063, 268, 543, 454, 842, 7337, 542, 267, 3357, 547, 519, 3932, 602, 22506, 729, 454, 534, 3063, 3200, 6466, 1520, 2401, 606, 25644, 3200, 269, 634, 1448, 568, 454, 7474, 646, 3893, 621, 4010, 4636, 13718, 2026, 547, 519, 1871, 540, 6988, 3069, 585, 5876, 454, 514, 5752, 630, 16838, 1498, 596, 3100, 547, 3494, 602, 454, 320, 7811, 18761, 540, 2247, 666, 1152, 4196, 547, 588, 604, 548, 454, 16579, 2032, 1070, 519, 1650, 540, 519, 6602, 540, 606, 3608, 454, 11415, 10478, 5690, 676, 667, 9950, 14389, 333, 3578, 2488, 606, 454, 15517, 532, 2013, 538, 1448, 269, 12928, 3578, 1759, 5128, 593, 454, 572, 655, 5944, 3833, 834, 15635, 805, 1947, 7811, 960, 257, 630, 5228, 454, 265, 20365, 265, 1448, 540, 2070, 264, 602, 5795, 513, 2608, 321, 21392, 265, 1871, 585, 454, 1492, 12985, 6988, 540, 5569, 10478, 454, 22474, 1022, 540, 519, 1287, 1634, 6620, 1223, 1683, 780, 8802, 1841, 2676, 22146, 692, 16216, 1597, 1498, 596, 3100, 547, 3494, 602, 454, 320, 7811, 18761, 540, 2247, 666, 1152, 4196, 547, 588, 604, 548, 454, 16579, 2032, 2020, 5591, 267, 602, 568, 711, 693, 782, 1018, 594, 3494, 269, 1548, 594, 3494, 568, 267, 834, 763, 1202, 14571, 454, 1993, 7453, 2175, 666, 3970, 3860, 4093, 3010, 6546, 781, 8815, 269, 1809, 2469, 1055, 2608, 4565, 785, 569, 265, 23024, 2939, 532, 20330, 23719, 3843, 547, 9305, 519, 6364, 540, 602, 19234, 454, 3724, 547, 3283, 7811, 9787, 540, 519, 960, 835, 568, 3257, 454, 529, 2608, 2254, 265, 513, 1434, 2856, 269, 15742, 569, 711, 538, 519, 1279, 2196, 563, 1103, 1249, 267, 544, 3291, 1782, 2389, 893, 543, 9319, 519, 2243, 454, 1993, 5078, 7811, 1489, 585, 835, 781, 960, 568, 454, 704, 4257, 811, 6093, 540, 2504, 5054, 563, 763, 3668, 540, 1346, 7182, 1281, 711, 2061, 835, 689, 1210, 1022, 2200, 454, 263, 10175, 7811, 3283, 264, 952, 789, 616, 2139, 780, 2791, 3100, 547, 581, 7947, 532, 8097, 2164, 538, 707, 5784, 563, 3240, 9708, 538, 713, 8142, 543, 616, 3274, 1788, 532, 3552, 569, 2676, 553, 25164, 3315, 7370, 1131, 1289, 621, 267, 602, 568, 782, 563, 4517, 519, 1377, 540, 1202, 14571, 596, 1832, 538, 602, 2070, 2676, 288, 2070, 602, 594, 798, 711, 2731, 723, 281, 596, 616, 2731, 1788, 532, 454, 785, 3975, 563, 548, 6758, 803, 547, 3494, 596, 3870, 513, 811, 11327, 1604, 454, 337, 1430, 982, 513, 811, 3860, 835, 563, 2791, 616, 19451, 269, 4014, 594, 723, 930, 834, 335, 24411, 4282, 4840, 263, 10594, 3373, 2324, 607, 513, 834, 1345, 2389, 4381, 257, 27732, 910, 4352, 2676, 1241, 1227, 267, 585, 513, 834, 31141, 543, 1382, 8257, 257, 13211, 296, 4682, 593, 547, 1353, 6128, 693, 519, 8549, 4659, 454, 1993, 5303, 1934, 538, 16848, 269, 1684, 596, 1616, 547, 2161, 602, 454, 327, 3058, 1044, 8036, 607, 513, 22301, 2306, 835, 4608, 805, 633, 888, 268, 1809, 621, 568, 3020, 602, 22697, 616, 1514, 1242, 538, 971, 454, 320, 1259, 602, 789, 4043, 547, 1491, 936, 2864, 1164, 4441, 540, 454, 2181, 17800, 543, 7811, 27733, 540, 741, 960, 563, 13828, 616, 1434, 267, 543, 594, 949, 7357, 4636, 827, 596, 2676, 1862, 596, 616, 693, 2547, 2608, 16341, 6343, 265, 4636, 827, 803, 2676, 7474, 594, 993, 3833, 2386, 540, 2483, 553, 1082, 1004, 616, 5827, 540, 9849, 1114, 22970, 4470, 593, 519, 454, 338, 527, 6672, 780, 296, 1589, 519, 575, 626, 540, 713, 8142, 949, 2097, 1524, 547, 13718, 1103, 2665, 1141, 621, 568, 711, 2312, 593, 1018, 4287, 547, 979, 1317, 519, 5079, 454, 732, 2147, 2614, 547, 1118, 519, 7446, 2352, 269, 898, 568, 3592, 2141, 454, 321, 21392, 547, 1175, 4584, 835, 543, 1294, 1018, 4523, 982, 547, 798, 4986, 780, 2026, 621, 5526, 267, 711, 1256, 1250, 1034, 2487, 2022, 814, 1185, 454, 265, 1415, 265, 25992, 1198, 593, 707, 8499, 454, 332, 529, 1952, 516, 9150, 532, 1250, 2990, 780, 8802, 1841, 2676, 22146, 454, 12914, 476, 1626, 1412, 4962, 1948, 2767, 454, 4002, 6129, 267, 476, 1626, 4239, 476, 1220, 276, 476, 866, 281, 5655, 281, 1556, 1341, 22903, 271, 267, 4168, 853, 777, 2536, 5206, 912, 26469, 328, 781, 12605, 540, 454, 1492, 6228, 540, 519, 22011, 3626, 568, 1776, 269, 898, 3576, 454, 23024, 14939, 1235, 513, 1390, 4308, 540, 942, 543, 9639, 454, 263, 12671, 476, 736, 1296, 267, 594, 993, 5143, 264, 2394, 789, 1223, 6368, 454, 332, 13831, 1945, 2179, 532, 547, 834, 23024, 14939, 6169, 4840, 1993, 6754, 328, 781, 28756, 675, 780, 26469, 328, 781, 28756, 675, 729, 519, 1267, 540, 8097, 2963, 602, 729, 454, 14814, 569, 538, 1410, 2364, 762, 2687, 547, 519, 3069, 540, 519, 1554, 281, 1648, 543, 454, 4944, 514, 729, 7106, 8960, 689, 1978, 6046, 6547, 269, 901, 729, 606, 454, 23024, 14939, 1267, 602, 2877, 547, 581, 6045, 267, 543, 6754, 328, 781, 3070, 729, 454, 1729, 6427, 606, 15865, 9325, 602, 5645, 602, 1648, 543, 8095, 2476, 780, 263, 2691, 594, 2322, 621, 899, 602, 267, 621, 4992, 29749, 267, 855, 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 ]
[ 267, 2870, 10103, 9624, 5732, 17804, 10366, 269, 2060, 1175, 513, 2370, 20057, 548, 267, 3787, 1562, 2490, 8723, 10425, 883, 9058, 3283, 267, 4758, 721, 1346, 5863, 834, 21036, 10590, 8090, 950, 521, 6235, 593, 513, 1134, 2275, 2761, 539, 15483, 18571, 780, 4131, 803, 2671, 513, 3579, 1383, 281, 4952, 513, 5929, 21097, 9927, 883, 1945, 9589, 609, 513, 21686, 540, 10538, 3787, 1562, 269, 22582, 267, 621, 3587, 811, 10427, 267, 10578, 267, 543, 30305, 982, 1354, 269, 2107, 4605, 513, 10750, 897, 320, 5828, 883, 513, 29413, 1521, 950, 23353, 609, 23599, 3787, 1562, 5627, 23456, 540, 24036, 267, 804, 7174, 267, 543, 3556, 600, 558, 269, 16319, 26345, 267, 1318, 2496, 2026, 596, 666, 1294, 267, 7636, 8819, 25348, 538, 15483, 339, 5661, 3884, 1405, 1175, 827, 24373, 543, 28817, 282, 621, 3322, 1620, 875, 2257, 10742, 26274, 547, 4739, 6909, 6704, 2833, 269, 1656, 3314, 267, 1985, 942, 596, 2119, 513, 32263, 15483, 18571, 267, 972, 1522, 581, 930, 14229, 21294, 3787, 1562, 4730, 741, 1909, 3297, 519, 10207, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 691, 11367, 946, 3787, 1562, 593, 513, 2834, 4493, 1317, 789, 616, 519, 1898, 12146, 585, 1119, 532, 10366, 1927, 543, 8744, 3666, 547, 15483, 339, 5661, 269, 9779, 1562, 18836, 512, 8463, 4967, 543, 12906, 553, 547, 10425, 1247, 6173, 908, 519, 15483, 18571, 779, 5820, 563, 9617, 513, 1906, 546, 10449, 540, 3787, 1562, 666, 1039, 3178, 543, 6988, 267, 13321, 513, 2241, 4235, 883, 513, 13857, 543, 17326, 7645, 598, 1723, 794, 267, 610, 1256, 513, 12300, 10444, 1995, 563, 1432, 616, 9779, 1562, 888, 1103, 2474, 540, 1455, 15483, 18571, 2259, 282, 3787, 1562, 568, 513, 6952, 718, 2165, 585, 513, 13671, 267, 29316, 5277, 10868, 540, 27386, 5820, 1031, 538, 1507, 13066, 267, 2356, 546, 10449, 610, 12772, 267, 547, 32433, 10366, 538, 16098, 563, 15919, 1572, 519, 6070, 543, 14723, 540, 15483, 339, 5661, 267, 610, 513, 536, 691, 2658, 779, 24996, 24646, 282, 3787, 1562, 616, 1031, 547, 3666, 267, 11753, 267, 543, 3986, 10366, 538, 10425, 610, 1426, 563, 20062, 2969, 11298, 645, 3951, 307, 8991, 570, 3008, 15288, 22244, 17395, 888, 763, 8137, 540, 3787, 1562, 9775, 4470, 593, 519, 1808, 11100, 540, 27386, 338, 630, 615, 2125, 267, 14546, 267, 5613, 543, 32550, 1023, 264, 1031, 538, 741, 2504, 269, 1452, 616, 930, 1455, 13820, 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, 12817, 22050, 25348, 538, 595, 1442, 339, 5661, 257, 607, 851, 540, 834, 23733, 1315, 30094, 1137, 1315, 15850, 545, 1315, 19258, 2056, 1299, 595, 1442, 339, 5661, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 267, 594, 4862, 596, 4076, 1044, 1565, 827, 2038, 2413, 13137, 538, 1153, 256, 1215, 3579, 568, 602, 2496, 7692, 281, 23010, 267, 621, 779, 2731, 4277, 256, 9894, 596, 917, 602, 1282, 713, 942, 1974, 267, 20679, 1131, 1419, 2119, 547, 7001, 1271, 5656, 899, 519, 11596, 610, 13039, 547, 946, 607, 7580, 6753, 2496, 8334, 281, 26419, 286, 6145, 1018, 2186, 540, 2994, 1705, 789, 946, 2496, 7692, 281, 4270, 267, 1577, 803, 2285, 596, 606, 1383, 269, 5994, 972, 616, 1079, 20679, 8165, 2282, 1142, 824, 267, 543, 835, 7952, 19306, 513, 2462, 4190, 14364, 899, 519, 5842, 30408, 26308, 538, 10878, 1255, 269, 1358, 1522, 6430, 547, 946, 602, 14364, 607, 741, 22071, 1317, 621, 2907, 814, 2178, 6821, 543, 513, 4396, 5748, 269, 9578, 267, 621, 666, 3180, 513, 2603, 540, 7980, 3330, 2439, 8334, 281, 7937, 267, 594, 1294, 256, 1924, 3079, 540, 2679, 1945, 1007, 267, 789, 1223, 1175, 1491, 936, 513, 1747, 602, 2907, 11478, 543, 1118, 621, 960, 585, 741, 2115, 269, 9877, 540, 899, 4687, 9162, 609, 707, 2828, 1107, 596, 1810, 1406, 991, 547, 4444, 513, 1007, 11442, 1169, 942, 2576, 2501, 936, 282, 3006, 596, 666, 1175, 2671, 1018, 596, 2907, 723, 780, 7692, 281, 22549, 256, 1656, 1589, 827, 782, 519, 2200, 789, 4688, 676, 3257, 602, 269, 5502, 540, 1210, 2326, 547, 1628, 513, 2898, 1007, 28183, 267, 789, 666, 1445, 593, 2866, 741, 7980, 543, 4947, 909, 609, 6370, 4566, 780, 8334, 281, 2334, 2306, 865, 1454, 2631, 256, 1548, 5949, 547, 519, 5842, 30408, 26308, 1310, 519, 2112, 1498, 286, 12984, 621, 1869, 1031, 607, 513, 14364, 2496, 7692, 281, 8786, 267, 2965, 269, 2991, 519, 2112, 8694, 267, 519, 14364, 3893, 17468, 547, 922, 3312, 3483, 269, 4658, 6378, 1022, 3441, 2944, 1282, 519, 2112, 267, 543, 1500, 2386, 3388, 6743, 1390, 1586, 269, 3807, 899, 950, 649, 10210, 938, 3659, 779, 5172, 1433, 543, 9153, 547, 2132, 621, 538, 3501, 2783, 269, 1284, 1616, 547, 1832, 519, 1919, 1472, 721, 8799, 543, 3144, 1416, 540, 267, 2436, 621, 779, 513, 5399, 1433, 610, 606, 5863, 2025, 14364, 780, 8334, 281, 1411, 2461, 1318, 269, 14171, 1416, 540, 1919, 2982, 2463, 543, 7071, 585, 741, 1871, 269, 594, 7058, 1686, 11414, 721, 1082, 4245, 827, 2921, 1416, 540, 938, 28378, 267, 8156, 1866, 9425, 267, 543, 1373, 4199, 995, 269, 4634, 952, 621, 4667, 20775, 547, 13137, 267, 1346, 3741, 4019, 10876, 2439, 7692, 281, 25999, 267, 7705, 269, 5272, 3510, 3340, 721, 547, 581, 3743, 543, 15826, 267, 1100, 2339, 1141, 610, 950, 649, 2661, 269, 6787, 649, 2461, 6158, 827, 3504, 10617, 610, 4730, 4604, 3756, 609, 2828, 2221, 267, 2348, 1455, 2631, 2337, 721, 1174, 4539, 543, 1521, 1004, 1134, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1220, 275, 11518, 4223, 1492, 9749, 1299, 23040, 10008, 2593, 454, 26596, 30408, 26308, 538, 10878, 1255, 814, 2141, 1185, 513, 10639, 454, 1721, 3280, 532, 1434, 269, 898, 729, 3710, 1394, 950, 519, 1152, 4341, 585, 16413, 454, 13195, 267, 834, 296, 2466, 622, 519, 4070, 540, 31508, 602, 3280, 1434, 1701, 3502, 1360, 3621, 2676, 8117, 621, 5249, 269, 4935, 267, 621, 729, 609, 930, 1726, 3671, 566, 602, 13447, 30559, 619, 454, 520, 5842, 30408, 19179, 1243, 519, 1524, 18566, 540, 2107, 742, 781, 25844, 2088, 8738, 3570, 454, 514, 4989, 476, 1960, 273, 593, 519, 8317, 540, 519, 556, 641, 2287, 540, 519, 9241, 22058, 730, 454, 1492, 831, 269, 589, 7104, 521, 662, 540, 8323, 4682, 909, 630, 515, 731, 3833, 5693, 1256, 454, 514, 519, 1394, 4737, 256, 2567, 1919, 32131, 1732, 982, 2479, 267, 2687, 547, 6890, 1729, 454, 1372, 3244, 821, 267, 7074, 3026, 777, 13457, 2575, 6048, 543, 21917, 269, 898, 568, 1175, 454, 821, 811, 3184, 538, 519, 1686, 540, 10878, 1255, 262, 1034, 4583, 14364, 563, 1993, 1576, 267, 1034, 1004, 267, 952, 4280, 547, 2012, 519, 22968, 2777, 538, 7977, 2676, 25669, 5487, 2480, 8403, 538, 30912, 269, 2334, 568, 3020, 267, 855, 1152, 1317, 2053, 723, 4957, 454, 323, 1090, 5597, 2094, 519, 4571, 1700, 10204, 271, 338, 950, 10878, 1255, 267, 538, 2489, 267, 543, 454, 26596, 30408, 267, 538, 1880, 267, 941, 9925, 1564, 538, 519, 13862, 540, 3864, 2528, 563, 27845, 1255, 729, 1753, 11110, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19615, 1315, 13639, 1315, 7216, 7073, 2782, 11071, 630, 5611, 271, 268, 5197, 271, 264, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 3115, 8793, 2924, 723, 1279, 1044, 513, 29653, 14099, 538, 1977, 2486, 267, 8032, 676, 2686, 8456, 2509, 4008, 267, 14920, 267, 543, 5198, 269, 2311, 519, 2295, 540, 713, 6560, 6013, 519, 2243, 540, 15629, 13190, 910, 945, 4991, 547, 6430, 1018, 4523, 547, 938, 4703, 286, 901, 2243, 814, 1880, 16982, 950, 621, 2501, 547, 10285, 1072, 1416, 267, 1141, 2055, 540, 1569, 267, 26622, 267, 543, 9844, 12969, 538, 1950, 2081, 269, 769, 713, 3296, 267, 649, 786, 5490, 4514, 883, 519, 1686, 540, 10285, 2924, 543, 4332, 1852, 267, 9878, 2673, 3007, 547, 875, 789, 9305, 547, 2152, 540, 4008, 7862, 267, 7292, 5126, 267, 543, 7890, 6963, 780, 2414, 2253, 609, 267, 1577, 721, 5581, 930, 1883, 2474, 269, 3115, 8793, 2924, 3277, 547, 519, 3656, 1303, 1856, 906, 602, 2043, 4865, 3823, 3664, 827, 1126, 321, 8960, 267, 1519, 2436, 547, 1831, 9176, 267, 2611, 9176, 267, 610, 2165, 3729, 513, 6379, 269, 1452, 2924, 616, 16135, 538, 4909, 1480, 2924, 3741, 971, 607, 1582, 24148, 267, 7834, 267, 543, 1875, 1673, 4593, 19303, 269, 7457, 547, 2500, 15333, 4003, 2409, 13054, 606, 1898, 2460, 540, 10285, 2924, 2094, 621, 6087, 1004, 547, 3635, 8116, 936, 741, 1378, 12680, 780, 289, 9500, 1852, 7153, 607, 513, 2797, 3390, 1282, 519, 3735, 13524, 2540, 950, 1585, 2516, 3459, 14957, 585, 922, 8244, 269, 21231, 267, 1034, 4332, 1852, 15628, 5059, 593, 5009, 17319, 3993, 3125, 998, 17712, 29561, 543, 11733, 2409, 269, 1717, 267, 607, 3621, 1702, 4359, 267, 1007, 3029, 540, 15333, 1061, 1161, 899, 26202, 916, 267, 17818, 11503, 267, 543, 521, 704, 6193, 1938, 2968, 2139, 269, 1635, 519, 2038, 14206, 2540, 267, 20152, 590, 9734, 267, 513, 12016, 5828, 9097, 15594, 267, 1185, 3144, 909, 519, 2014, 540, 1818, 4332, 1852, 3015, 547, 782, 2021, 267, 3226, 1346, 2713, 538, 6710, 269, 2701, 28020, 11130, 602, 1100, 4807, 1223, 581, 5963, 1863, 2394, 1352, 1185, 4971, 936, 1200, 1560, 543, 922, 3252, 780, 8601, 3395, 1857, 1489, 585, 4332, 1852, 267, 1082, 2829, 7803, 1242, 922, 3892, 543, 946, 1134, 883, 519, 4571, 2389, 342, 12351, 2540, 269, 1280, 3236, 267, 519, 1290, 18450, 2920, 540, 476, 6942, 274, 9286, 1022, 1570, 16363, 834, 984, 2675, 2940, 2437, 1519, 1344, 827, 15333, 4003, 267, 607, 27127, 2762, 267, 3927, 7979, 1177, 532, 5717, 1472, 1920, 4058, 269, 898, 7012, 1405, 2394, 717, 5142, 342, 1245, 642, 269, 21086, 630, 3422, 276, 264, 602, 519, 2475, 10966, 7040, 6444, 513, 13338, 1318, 547, 29281, 7834, 267, 7551, 23380, 908, 4031, 10238, 1746, 15333, 21082, 946, 1851, 9310, 15185, 269, 589, 8717, 2663, 267, 29276, 26684, 339, 642, 269, 645, 1515, 323, 630, 3192, 273, 264, 6905, 713, 4027, 547, 796, 3405, 3072, 2043, 1932, 780, 4913, 267, 1256, 1310, 891, 19506, 5947, 902, 267, 1569, 547, 4332, 1852, 7283, 19514, 1813, 547, 2188, 971, 607, 1942, 267, 16663, 267, 543, 10923, 4087, 269, 8899, 13867, 2021, 267, 2523, 2021, 540, 2681, 267, 5185, 1713, 7496, 547, 13844, 6325, 15333, 21082, 2409, 269, 3281, 15929, 891, 2591, 729, 519, 11944, 540, 519, 4550, 268, 629, 10407, 3350, 267, 799, 1476, 3836, 16377, 543, 4332, 1852, 896, 519, 22597, 2165, 834, 26967, 4058, 1701, 2920, 643, 1235, 1369, 713, 3350, 6707, 10981, 321, 1221, 585, 4507, 28142, 5313, 7616, 585, 1920, 4058, 3292, 1312, 29143, 1227, 543, 18368, 780, 24137, 4464, 547, 2221, 267, 543, 649, 1265, 6000, 21679, 609, 2147, 2152, 23344, 29600, 8335, 269, 1280, 1383, 267, 2015, 519, 2013, 540, 23948, 730, 2021, 5018, 693, 519, 4098, 540, 713, 3184, 269, 4256, 2984, 16079, 3140, 9551, 757, 540, 7142, 10322, 559, 3074, 5340, 593, 12790, 2950, 267, 1519, 7111, 4892, 267, 3979, 4892, 267, 543, 5824, 343, 5095, 269, 6270, 8320, 20838, 519, 5571, 6370, 1996, 28170, 633, 2551, 1852, 3800, 25409, 7133, 7925 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 15477, 292, 264, 543, 2494, 16230, 332, 11535, 918, 5953, 5984, 1848 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2942, 1198, 547, 938, 1158, 269, 24981, 23663, 517, 267, 538, 1200, 2376, 834, 763, 744, 4565, 12720, 547, 7736, 675, 257, 13187, 602, 519, 13851, 543, 824, 6464, 649, 946, 616, 5739, 547, 811, 982, 1175, 519, 1604, 269, 594, 3858, 609, 23663, 517, 538, 1200, 2376, 267, 538, 602, 649, 1058, 2569, 1034, 540, 519, 5739, 3114, 946, 543, 3079, 946, 6639, 18563, 269, 23663, 517, 568, 513, 1268, 945, 4667, 1360, 13730, 827, 519, 1604, 543, 568, 1360, 7255, 540, 922, 11317, 269, 898, 568, 2182, 547, 3494, 602, 10995, 1480, 7919, 1131, 946, 3983, 6464, 6878, 602, 1131, 1860, 519, 1604, 543, 2933, 11874, 563, 292, 951, 1550, 519, 12289, 540, 14858, 3630, 1660, 17632, 538, 476, 2735, 279, 519, 5117, 540, 634, 4279, 20463, 11124, 2942, 5222, 689, 6175, 540, 28506, 2023, 547, 7836, 2462, 2338, 1169, 1032, 547, 2119, 547, 4894, 873, 689, 519, 5117, 269, 1809, 2370, 798, 1004, 917, 789, 849, 948, 4547, 8235, 2144, 773, 630, 821, 540, 519, 476, 276, 1390, 12647, 264, 1394, 547, 1272, 267, 1282, 519, 476, 3192, 271, 338, 8235, 661, 4471, 729, 10294, 4666, 2094, 7372, 5666, 540, 5533, 941, 546, 22981, 883, 519, 8235, 689, 6683, 2872, 269, 634, 5533, 3361, 519, 8235, 547, 723, 1447, 5135, 799, 3361, 930, 2694, 540, 519, 12647, 547, 581, 513, 4666, 7997, 269, 15788, 713, 666, 581, 11943, 547, 723, 2942, 1764, 547, 519, 5117, 540, 519, 4279, 20463, 267, 855, 972, 616, 930, 2318, 5222, 1932, 269, 634, 3119, 6662, 1058, 581, 547, 4894, 519, 14858, 3630, 1660, 17632, 689, 519, 1390, 12647, 1256, 1498, 519, 1185, 2318, 5222, 267, 519, 29588, 1660, 17632, 1810, 1406, 4866, 538, 713, 5117, 563, 293, 334, 518, 2417, 6941, 602, 3662, 1426, 568, 711, 1152, 3743, 585, 3676, 971, 607, 6177, 779, 2770, 543, 2220, 710, 2770, 267, 855, 849, 12042, 619, 519, 7145, 540, 11216, 538, 519, 1480, 1560, 630, 1220, 280, 1040, 1261, 5631, 6212, 593, 12051, 8105, 799, 952, 11074, 1131, 2569, 2518, 8337, 267, 5533, 267, 4688, 3282, 14425, 267, 2569, 2068, 11411, 267, 2087, 1857, 1072, 0, 2171, 2461, 10583, 540, 519, 960, 649, 4076, 2944, 547, 3605, 543, 5838, 1007, 11955, 547, 2550, 538, 991, 267, 543, 649, 616, 9599, 827, 875, 1454, 811, 666, 581, 2944, 609, 2257, 607, 938, 3391, 269, 3776, 2319, 14405, 31934, 6667, 543, 8404, 689, 2550, 267, 15637, 543, 13500, 267, 543, 938, 7287, 547, 948, 11498, 1134, 3564, 519, 960, 649, 798, 538, 938, 22475, 269, 1284, 616, 2141, 11235, 547, 5873, 811, 827, 875, 649, 666, 1489, 596, 563, 5978, 2189, 2702, 547, 14578, 543, 9846, 14377, 2257, 883, 4915, 814, 3366, 547, 8370, 15111, 22190, 28508, 11955, 585, 1004, 609, 3978, 3676, 269, 9521, 693, 1082, 824, 1979, 2684, 12609, 3549, 267, 782, 891, 11955, 941, 11827, 538, 938, 1378, 20682, 543, 4359, 896, 519, 5812, 5583, 540, 519, 3204, 10273, 517, 2319, 2529, 7417, 18040, 2969, 24912, 20724, 288, 6579, 21764, 454, 16966, 547, 938, 11955, 454, 16631, 267, 2029, 543, 5647, 723, 519, 7415, 1379, 547, 1689, 2729, 269, 1284, 9192, 891, 2565, 2609, 1101, 538, 519, 22475, 543, 1287, 538, 5698, 609, 13500, 547, 1449, 938, 1007, 11955, 538, 519, 16758, 269, 1284, 1590, 3136, 547, 3048, 622, 2899, 513, 4915, 568, 9516, 538, 1931, 547, 2327, 602, 2550, 723, 7850, 1569, 547, 938, 11955, 269, 3776, 1569, 3292, 543, 4507, 616, 2966, 547, 1118, 513, 6209, 3017, 585, 2550, 269, 4041, 27073, 27749, 454, 5978, 3461, 14223, 2319, 568, 6131, 547, 1620, 519, 3461, 5133, 543, 2115, 540, 519, 2950, 12936, 676, 519, 9354, 2127, 649, 4196, 269, 1284, 1489, 519, 3646, 540, 891, 2950, 945, 6318, 4656, 267, 13599, 543, 7668, 2550, 547, 581, 3742, 5171, 538, 741, 1416, 563, 3080, 540, 519, 1082, 3292, 649, 1489, 568, 519, 1977, 25016, 5948, 779, 834, 298, 1157, 514, 685, 8330, 8676, 2437, 513, 3084, 267, 1153, 2861, 10447, 1582, 31193, 1982, 585, 1453, 6502, 476, 1556, 547, 476, 1626, 630, 306, 1460, 628, 3446, 547, 476, 1015, 628, 3446, 1040, 901, 1982, 6663, 547, 13599, 543, 7668, 3214, 547, 4383, 741, 10447, 998, 513, 1187, 543, 7317, 1935, 269, 5753, 1451, 875, 547, 5431, 2589, 267, 741, 2825, 12153, 543, 1174, 1697, 6646, 946, 563, 257, 298, 1157, 514, 685, 8330, 8676, 257, 568, 519, 1152, 1982, 602, 814, 1044, 8810, 2500, 538, 3450, 3214, 10447, 1582, 31193, 1983, 267, 3056, 547, 2799, 10447, 4656, 1851, 1153, 10986, 543, 13302, 6595, 4055, 11564, 269, 272, 1306, 606, 2963, 2861, 1982, 267, 834, 298, 1157, 514, 685, 8330, 8676, 257, 729, 849, 12006, 607, 851, 540, 1655, 1790, 15462, 7840, 585, 3506, 267, 2146, 2861, 8041, 543, 1533, 1072, 13623, 267, 476, 273, 267, 274, 543, 6444, 607, 513, 1982, 602, 568, 2523, 9621, 950, 8045, 538, 1970, 13867, 610, 12102, 2950, 547, 3895, 1072, 9698, 269, 274, 9596, 811, 827, 834, 298, 1157, 514, 685, 8330, 8676, 4840, 5591, 2068, 568, 2048, 1729, 334, 1507, 685, 610, 2048, 1729, 334, 2462, 10200, 1284, 1382, 543, 1020, 11955, 585, 513, 3376, 2039, 540, 3978, 2564, 2175, 267, 1519, 21901, 27351, 6748, 3676, 267, 2860, 267, 12982, 2175, 267, 1928, 267, 4686, 3676, 543, 11763, 3676, 7868, 8427, 1382, 2127, 454, 25215, 1180, 532, 547, 5046, 268, 866, 454, 2171, 2461, 7311, 811, 982, 476, 1789, 1296, 540, 3621, 543, 2029, 6791, 547, 8396, 519, 5046, 268, 866, 6855, 269, 1403, 596, 610, 513, 6068, 835, 723, 1044, 8995, 609, 5046, 268, 866, 267, 972, 616, 1007, 17193, 5574, 2139, 1631, 269, 9596, 827, 938, 454, 25924, 585, 524, 10604, 268, 866, 0, 298, 14390, 580, 2967, 267, 849, 1634, 607, 10127, 628, 580, 2967, 12213, 600, 568, 9976, 676, 519, 25165, 540, 20474, 24385, 340, 538, 519, 20474, 3923, 540, 10127, 628, 580, 2967, 593, 32449, 5864, 328, 630, 22437, 1941, 9874, 264, 610, 519, 2407, 7599, 3781, 950, 10127, 628, 580, 2967, 715, 6545, 1002, 1090, 7173, 5661, 269, 1717, 267, 25058, 525, 849, 7747, 10127, 628, 580, 2967, 593, 519, 1554, 950, 918, 691, 580, 2967, 715, 6545, 1002, 1090, 16569, 1169, 3923, 269, 4653, 568, 835, 540, 1346, 2395, 950, 519, 715, 6545, 1002, 1090, 5018, 1657, 598, 15479, 269, 3367, 593, 547, 917, 811, 827, 519, 13037, 563, 298, 14390, 580, 2967, 12213, 600, 568, 606, 3282, 17689, 269, 4658, 2628, 1073, 324, 529, 766, 547, 7083, 32251, 267, 945, 7902, 607, 606, 12808, 11237, 540, 1769, 593, 713, 1554, 676, 8654, 22311, 269, 8061, 1774, 525, 849, 10847, 1010, 5067, 267, 918, 691, 833, 5984, 630, 10193, 1634, 607, 4427, 1090, 534, 1014, 610, 12653, 340, 1146, 1916, 6097, 547, 835, 540, 519, 17691, 2404, 609, 10127, 628, 580, 2967, 267, 519, 2245, 568, 1644, 547, 7083, 918, 691, 833, 5984, 269, 1261, 568, 5156, 547, 723, 1044, 4535, 689, 519, 3791, 3750, 540, 7083, 32251, 269, 4340, 547, 2442, 3661, 267, 7083, 918, 691, 833, 5984, 729, 9447, 538, 3670, 1114, 2694, 543, 729, 6659, 676, 3670, 562, 8233, 338, 267, 12077, 667, 3121, 267, 715, 18945, 14269, 267, 2806, 327, 2001, 21468, 267, 966, 6702, 599, 21468, 267, 2725, 724, 599, 21468, 543, 932, 760, 684, 11986, 269, 7083, 12653, 340, 1146, 568, 849, 1634, 607, 22767, 332, 7676, 600, 267, 2495, 519, 835, 609, 3670, 8188, 269, 3962, 540, 1010, 3670, 8188, 814, 513, 1808, 2012, 269, 1656, 789, 2099, 4162, 971, 607, 570, 520, 20580, 639, 600, 267, 589, 724, 528, 600, 267, 590, 8014, 19390, 520, 600, 267, 966, 600, 1228, 341, 600, 267, 661, 525, 534, 600, 543, 1520, 327, 558, 4157, 600, 269, 4475, 267, 519, 3182, 3645, 26841, 540, 7083, 918, 691, 833, 5984, 2982, 1864, 609, 3670, 9843, 543, 12964, 3946, 563, 2026, 829, 1776, 10828, 267, 7083, 32251, 7902, 607, 606, 27283, 30361, 540, 3595, 1310, 7083, 4858, 8676, 267, 543, 7083, 31155, 340, 11130, 936, 1142, 824, 781, 29686, 269, 4475, 267, 547, 16401, 741, 818, 5766, 766, 267, 7083, 32251, 7153, 607, 606, 12808, 808, 344, 582, 328, 630, 2775, 1040, 901, 1769, 5555, 28955, 538, 519, 1106, 540, 519, 808, 344, 582, 26325, 553, 563, 4002, 519, 1554, 540, 10127, 628, 580, 2967, 12213, 600, 267, 707, 1753, 568, 21243, 609, 30709, 600, 593, 519, 6989, 267, 543, 3282, 22311, 2022, 1606, 684, 3553, 269, 634, 7908, 8481, 849, 1331, 21339, 540, 1426, 3688, 971, 607, 1520, 2967, 267, 966, 611, 2967, 267, 2561, 600, 267, 715, 749, 340, 623, 9461, 543, 631, 18636, 2967, 623, 9461, 563, 9199, 1188, 20154, 10865, 25038, 585, 782, 14080, 11040, 267, 966, 337, 1846, 543, 15719, 584, 520, 593, 8648, 3767, 269, 0, 14276, 1072, 4648, 616, 9952, 547, 6445, 3875, 7694, 7158, 538, 519, 2361, 540, 1134, 1373, 1416, 269, 634, 8433, 540, 21111, 5516, 3038, 11107, 814, 1271, 4247, 585, 9513, 1134, 1373, 543, 7303, 4576, 1851, 27851, 269, 2290, 3364, 602, 4559, 1857, 1072, 824, 982, 1082, 824, 2564, 11678, 568, 519, 1764, 1857, 1134, 1373, 4600, 666, 723, 593, 513, 2898, 2551, 563, 1103, 4516, 267, 519, 5398, 2657, 10837, 540, 4516, 568, 519, 3084, 2754, 5279, 762, 585, 1857, 1072, 267, 6595, 23982, 543, 3210, 267, 543, 11763, 543, 5312, 2068, 2359, 543, 6604, 269, 634, 2489, 1857, 1072, 4145, 1376, 609, 12961, 607, 3676, 19057, 563, 20118, 267, 1247, 513, 2564, 3318, 1131, 21559, 16185, 547, 4308, 609, 7050, 8501, 267, 513, 1857, 1134, 1373, 3318, 1131, 1353, 3123, 540, 2597, 2042, 543, 1164, 8501, 543, 960, 547, 2936, 15004, 547, 5000, 2635, 1272, 16654, 12381, 1851, 5095, 563, 1607, 1062, 2337, 547, 7794, 741, 10763, 11432, 1359, 267, 547, 16491, 873, 609, 1898, 6791, 543, 1702, 267, 543, 28889, 9934, 519, 10629, 13930, 883, 922, 2027, 2213, 5823, 6697, 547, 1857, 1072, 267, 14278, 1108, 267, 2564, 12665, 267, 2564, 7881, 543, 1866, 563, 3674, 606, 1367, 779, 4390, 547, 1224, 267, 1174, 543, 946, 1134, 1373, 1416, 9623, 547, 1118, 5079, 543, 16783, 609, 5528, 585, 3797, 269, 1358, 1131, 2560, 0, 2691, 519, 932, 879, 23439, 29190, 538, 7013, 5333, 729, 4362, 538, 476, 1960, 275, 267, 621, 4224, 539, 519, 15456, 1158, 267, 538, 851, 1317, 922, 10367, 540, 21495, 267, 9640, 267, 543, 11002, 16394, 941, 20498, 569, 10427, 11652, 849, 1317, 28650, 6580, 6700, 602, 891, 26620, 1185, 1044, 13401, 607, 2038, 607, 476, 3953, 267, 1822, 1296, 3516, 267, 1818, 873, 519, 9510, 1634, 13946, 10367, 269, 630, 10303, 972, 568, 1100, 8815, 28650, 23363, 7455, 585, 7389, 4505, 982, 476, 2918, 267, 1822, 1296, 3516, 267, 782, 7389, 616, 2016, 538, 4608, 531, 2320, 730, 968, 2784, 328, 22932, 892, 1296, 282, 4890, 11706, 7389, 616, 4440, 1896, 8536, 1296, 4505, 269, 6423, 3163, 267, 476, 1428, 5181, 476, 1220, 277, 267, 533, 269, 476, 14444, 271, 8094, 21953, 1247, 932, 879, 23439, 779, 10367, 616, 26080, 585, 741, 2085, 538, 5578, 543, 4480, 267, 789, 1705, 711, 1796, 7357, 4805, 538, 519, 22300, 1148, 1158, 269, 11569, 267, 1082, 840, 7290, 528, 2103, 941, 711, 4625, 14281, 693, 741, 6602, 267, 1317, 972, 941, 2907, 3875, 23053, 602, 2413, 3425, 538, 2342, 941, 1818, 1148, 602, 2038, 282, 2094, 932, 879, 23439, 779, 6602, 267, 513, 1297, 540, 7766, 9060, 723, 9672, 602, 3932, 563, 2419, 879, 23439, 949, 12062, 519, 9998, 13946, 10367, 630, 8117, 1294, 2630, 1070, 2943, 3105, 14155, 725, 538, 2342, 1185, 1336, 18810, 693, 2547, 607, 2025, 269, 22073, 538, 519, 476, 4350, 271, 338, 543, 11173, 2394, 3833, 5063, 267, 24085, 2324, 538, 519, 4210, 629, 1014, 808, 3120, 3148, 540, 5125, 723, 20114, 811, 982, 476, 736, 19562, 1149, 5578, 2685, 20077, 689, 7882, 1054, 32334, 267, 1519, 513, 24077, 3368, 2000, 542, 267, 3368, 17907, 17001, 689, 670, 2129, 6352, 7322, 21178, 12818, 630, 5408, 8666, 693, 1318, 1040, 4495, 28650, 6580, 2968, 2139, 1310, 519, 476, 4198, 271, 338, 267, 3173, 1336, 602, 891, 19562, 1149, 941, 1063, 476, 1789, 267, 1822, 543, 476, 3607, 267, 1822, 1296, 2025, 269, 634, 1034, 2487, 3615, 267, 1519, 513, 20077, 6177, 543, 513, 7504, 267, 941, 1336, 538, 670, 2129, 548, 674, 1564, 29190, 543, 4080, 676, 22956, 1230, 731, 540, 519, 2160, 540, 570, 12728, 26528, 6883, 523, 538, 476, 1220 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 10880, 1606, 28309, 7271, 543, 729, 5433, 607, 2484, 2476, 607, 18603, 267, 594, 30955, 267, 543, 1924, 325, 807, 269, 2859, 982, 476, 1220, 1004, 941, 13676, 267, 1034, 540, 873, 1152, 21066, 267, 543, 9793, 3441, 547, 19421, 540, 8075, 814, 1044, 4080, 269, 634, 13091, 7018, 593, 519, 630, 306, 264, 310, 3480, 851, 540, 519, 3345, 26277, 565, 1014, 674, 5435, 538, 519, 6341, 657, 19438, 543, 729, 1851, 519, 16999, 2621, 602, 723, 2479, 1044, 6592, 693, 602, 10126, 269, 811, 454, 763, 7256, 5426, 3194, 8047, 538, 519, 4972, 540, 2983, 657, 31190, 693, 519, 2160, 540, 29049, 6816, 568, 3168, 547, 15313, 513, 12854, 2875, 547, 960, 593, 606, 22085, 293, 14102, 1788, 5059, 593, 12779, 846, 1143, 1108, 540, 519, 595, 2444, 611, 807, 1016, 9134, 7997, 563, 763, 1788, 3322, 5698, 609, 31089, 7970, 2160, 267, 2160, 540, 3345, 10491, 12070, 2719, 2023, 267, 543, 519, 2136, 2276, 24959, 11752, 269, 634, 2990, 666, 1376, 607, 2038, 607, 5181, 476, 272, 560, 476, 1001, 275, 269, 811, 454, 2304, 4277, 1007, 1788, 6663, 593, 513, 1732, 1620, 540, 3504, 16767, 538, 2342, 269, 1488, 8469, 292, 320, 1107, 26337, 540, 519, 19744, 32495, 1389, 538, 2342, 630, 1911, 271, 268, 14028, 271, 5084, 264, 568, 6131, 547, 2333, 938, 1702, 540, 10120, 20381, 2621, 269, 634, 476, 273, 26188, 1788, 1759, 693, 20736, 5069, 2160, 786, 1445, 593, 15456, 1344, 593, 844, 1389, 267, 20016, 600, 529, 543, 13091, 14001, 2527, 5322, 269, 1488, 8469, 292, 320, 568, 2196, 676, 14529, 23383, 1280, 4802, 630, 27273, 14876, 676, 18281, 15168, 337, 731, 543, 25272, 8891, 2917, 1040, 634, 1788, 814, 1175, 3323, 543, 2907, 814, 922, 1378, 5816, 269, 811, 0, 22432, 3201, 14877, 22054, 267, 7151, 543, 26402, 14300, 543, 6165, 540, 9517, 292, 3201, 14877, 538, 18340, 543, 6965, 454, 5825, 720, 540, 834, 22432, 3201, 14877, 9899, 6201, 689, 4583, 2296, 17826, 454, 2414, 1732, 1174, 519, 2495, 540, 9517, 292, 3201, 14877, 267, 1978, 1806, 540, 922, 6165, 616, 4843, 269, 14300, 689, 4583, 2296, 18340, 593, 519, 946, 540, 519, 2262, 9517, 292, 3201, 14877, 454, 257, 26807, 569, 1346, 8159, 6411, 540, 1200, 1272, 941, 711, 23679, 4190, 27324, 634, 2262, 270, 874, 19189, 1412, 728, 958, 262, 729, 1031, 676, 1412, 24730, 18379, 582, 262, 538, 1412, 29557, 332, 1105, 23823, 5825, 720, 540, 834, 22432, 3201, 14877, 257, 538, 5220, 454, 19285, 1372, 958, 621, 1058, 581, 2854, 693, 519, 1394, 540, 519, 16436, 4840, 268, 901, 2165, 23679, 729, 1031, 676, 570, 592, 11986, 715, 1515, 538, 519, 7313, 655, 654, 5109, 1134, 9954, 563, 19285, 1372, 958, 1058, 711, 3970, 519, 2219, 610, 519, 2856, 24829, 676, 519, 10564, 4840, 268, 901, 2165, 23679, 729, 1031, 676, 8496, 6409, 328, 13850, 732, 538, 519, 7313, 655, 9537, 540, 6965, 281, 782, 519, 1114, 2010, 540, 9954, 563, 257, 8855, 602, 596, 1058, 23679, 2328, 519, 6648, 693, 835, 979, 4840, 268, 901, 2165, 23679, 729, 1031, 676, 570, 592, 11986, 715, 1515, 538, 519, 7313, 655, 1215, 547, 2328, 513, 6648, 563, 19285, 1372, 958, 267, 713, 786, 4894, 782, 2042, 257, 0, 16412, 8656, 18832, 14979, 7843, 5803, 7304, 28970, 630, 305, 889, 344, 9503, 994, 292, 557, 14979, 7843, 5803, 7304, 5255, 2946, 267, 513, 5065, 540, 519, 5375, 1744, 9655, 18223, 267, 11828, 1200, 9821, 267, 519, 5169, 540, 519, 7843, 5803, 2012, 267, 543, 519, 3877, 540, 1200, 1920, 1686, 269, 18832, 14979, 779, 22516, 267, 13518, 778, 267, 543, 4651, 267, 7671, 267, 941, 1312, 8783, 338, 540, 519, 1855, 2173, 334, 752, 267, 540, 799, 1352, 8843, 741, 1686, 267, 21308, 789, 941, 3238, 538, 267, 543, 875, 789, 3357, 547, 581, 269, 2701, 849, 6257, 540, 519, 2757, 2371, 543, 2067, 14319, 602, 519, 1744, 9655, 18223, 1031, 585, 16909, 4915, 269, 18832, 14979, 3947, 3877, 593, 1018, 1826, 540, 1909, 543, 1379, 519, 4915, 2367, 267, 543, 2021, 267, 5129, 538, 519, 1744, 9655, 18223, 2486, 543, 2528, 269, 0, 15612, 919, 519, 535, 537, 8175, 8552, 540, 519, 1239, 538, 4661, 476, 272, 269, 634, 1599, 3096, 519, 1412, 16676, 6681, 22263, 262, 4480, 799, 6746, 1227, 26779, 519, 22263, 7533, 269, 5221, 713, 4480, 1281, 711, 2154, 519, 3403, 1239, 547, 581, 25541, 693, 14961, 22274, 2798, 267, 621, 3085, 1405, 7985, 689, 4908, 620, 328, 2084, 269, 901, 568, 519, 1292, 2721, 3724, 540, 519, 811, 4122, 1031, 674, 10499, 630, 24137, 22263, 17992, 264, 5690, 269, 1717, 267, 519, 23120, 22263, 5690, 568, 1454, 14887, 1287, 519, 674, 10499, 267, 3006, 13497, 865, 563, 347, 274, 1475, 9418, 1475, 8133, 1475, 10831, 540, 4908, 2474, 2008, 763, 3403, 1239, 269, 901, 568, 4397, 547, 4865, 513, 4704, 1775, 4318, 269, 1535, 268, 11161, 454, 11854, 322, 5809, 519, 4909, 4908, 269, 2353, 2474, 7229, 786, 581, 606, 7533, 2789, 540, 713, 563, 11854, 322, 5809, 519, 1297, 540, 4908, 2474, 547, 581, 7229, 563, 1607, 568, 18593, 543, 666, 581, 513, 476, 272, 610, 476, 273, 3693, 5044, 269, 634, 1101, 3693, 568, 519, 1101, 4908, 547, 581, 7229, 6829, 607, 513, 2789, 540, 519, 4909, 269, 634, 9949, 1871, 568, 476, 271, 1775, 4318, 269, 519, 9823, 2165, 568, 7229, 1101, 269, 634, 2034, 3693, 568, 519, 5610, 1931, 1031, 543, 949, 581, 476, 272, 610, 476, 273, 563, 27987, 1826, 281, 1950, 5044, 454, 763, 1267, 540, 519, 9819, 543, 786, 581, 513, 1950, 5044, 609, 3259, 3160, 547, 4661, 476, 274, 563, 347, 414, 501, 482, 14474, 10831, 1475, 293, 537, 8175, 302, 6877, 291, 658, 690, 19065, 370, 347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4566, 585, 1142, 513, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 3848, 7170, 281, 3171, 1430, 338, 538, 519, 6489, 281, 25817, 20002, 5808, 570, 809, 22947, 883, 1715, 2622, 338, 692, 7072, 912, 5970, 596, 2479, 2938, 513, 6177, 865, 2130, 998, 519, 6607, 267, 1863, 543, 796, 20129, 286, 5620, 596, 2479, 9289, 1141, 602, 6177, 1522, 581, 2469, 610, 1018, 11580, 922, 12209, 1223, 2995, 286, 10801, 1686, 267, 5017, 723, 1044, 811, 982, 1175, 4190, 7068, 282, 789, 4312, 849, 1044, 6909, 17701, 256, 2334, 781, 1318, 910, 930, 5017, 666, 8038, 5215, 540, 5195, 2066, 5318, 12084, 543, 17407, 267, 6679, 909, 1007, 10600, 585, 721, 547, 3605, 269, 2913, 781, 4685, 883, 713, 4241, 1158, 540, 26624, 23806, 1927, 2439, 4089, 476, 272, 281, 23642, 19529, 839, 910, 3776, 10871, 32445, 454, 2791, 949, 1294, 873, 530, 5417, 1782, 1472, 707, 2199, 6288, 610, 18736, 2603, 267, 25094, 27701, 585, 1426, 1107, 649, 1289, 891, 4199, 995, 5017, 1412, 16535, 17944, 9538, 1452, 8241, 25165, 267, 1634, 23963, 607, 16481, 2478, 267, 2951, 1390, 9883, 1142, 1554, 10478, 585, 32351, 269, 2755, 3425, 1419, 2070, 873, 607, 562, 7572, 1734, 267, 1589, 827, 875, 13261, 543, 10770, 789, 616, 256, 1358, 2263, 4683, 5054, 24091, 267, 1818, 513, 2713, 9624, 938, 6405, 795, 2426, 956, 269, 5994, 952, 649, 1223, 1451, 547, 9784, 1689, 609, 971, 15131, 543, 6043, 269, 1548, 9035, 1131, 24098, 721, 1287, 2496, 4089, 476, 273, 281, 11848, 6833, 985, 910, 7043, 652, 24779, 17451, 16680, 539, 454, 25603, 519, 818, 8157, 512, 1716, 267, 799, 19646, 519, 13074, 9194, 8905, 540, 1022, 3662, 593, 3047, 269, 3962, 1032, 267, 891, 1507, 26026, 8674, 7832, 593, 606, 27314, 3460, 8720, 5111, 476, 1839, 267, 1822, 5195, 256, 674, 2391, 689, 741, 11848, 9960, 12406, 547, 519, 21303, 543, 1394, 1586, 267, 789, 1995, 811, 21765, 982, 12303, 1022, 824, 13442, 9800, 269, 4256, 11995, 4832, 2636, 873, 547, 7198, 18198, 8916, 1906, 1866, 786, 2479, 1531, 1245, 269, 1403, 1152, 649, 1223, 6443, 873, 593, 741, 12473, 7045, 2439, 4089, 476, 274, 281, 4446, 6874, 9229, 2696, 342, 1080, 910, 1133, 17380, 335, 762, 10414, 454, 5194, 7415, 4955, 15249, 568, 519, 3046, 26904, 5601, 342, 527, 267, 4583, 585, 10760, 1875, 3613, 641, 936, 519, 7414, 7909, 1063, 14522, 543, 1715, 10215, 1107, 513, 31417, 3845, 540, 1472, 476, 278, 267, 1822, 5195, 256, 1677, 9585, 713, 9028, 267, 891, 5017, 1628, 909, 11141, 3170, 14425, 1354, 2921, 8184, 267, 23401, 6263, 27858, 23185, 9003, 676, 741, 8990, 269, 1879, 5185, 609, 14488, 267, 3046, 26904, 5601, 342, 1080, 1397, 721, 602, 3006, 782, 649, 991, 568, 27497, 543, 16177, 547, 3914, 938, 10278, 780, 6962, 912, 4322, 9058, 5017, 4001, 721, 3407, 4245, 827, 3408, 267, 9542, 267, 543, 10100, 269, 1306, 1762, 7045, 3464, 3054, 267, 3314, 602, 1169, 1900, 3144, 2509, 23257, 1819, 8513, 12523, 607, 3356, 269, 3807, 899, 938, 905, 9312, 2828, 267, 1577, 781, 3262, 938, 12209, 2647, 267, 23362, 8508, 8726, 6013, 6619, 269, 2991, 782, 267, 945, 6487, 1018, 3768, 4593, 2642, 3338, 24098, 721, 3564, 519, 16880, 2496, 12244, 32653, 912, 5331, 596, 616, 8888, 513, 3983, 613, 585, 703, 516, 3671, 24413, 5017, 269, 6904, 6177, 2249, 1131, 596, 3442, 543, 1946, 286, 28220, 707, 1374, 2059, 609, 513, 5618, 6609, 24223, 519, 2189, 7907, 602, 1118, 707, 6074, 6177, 606, 5140, 3090, 540, 3408, 543, 22838, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 623, 15607, 976, 3657, 14171, 3683, 281, 634, 9877, 1145, 540, 20002, 454, 2421, 8585, 331, 25475, 7585, 529, 454, 18800, 539, 676, 654, 2562, 301, 23966, 667, 7419, 301, 454, 763, 11537, 10822, 9269, 568, 2141, 8023, 1055, 29578, 540, 3694, 8164, 594, 3802, 547, 12876, 7615, 6728, 269, 5221, 621, 568, 513, 5609, 547, 12235, 2476, 519, 10723, 1145, 540, 3694, 267, 1346, 2451, 13569, 1831, 513, 1134, 268, 26074, 23972, 3838, 676, 2818, 540, 519, 5045, 29891, 17638, 2146, 269, 594, 804, 583, 3481, 1250, 5299, 540, 634, 9877, 1145, 540, 20002, 630, 8967, 514, 1057, 343, 267, 476, 1708, 272, 1070, 513, 2110, 1650, 4015, 676, 8585, 331, 25475, 7585, 529, 267, 607, 594, 14478, 519, 16481, 2478, 890, 1188, 25678, 1063, 25190, 976, 585, 1835, 29304, 563, 14112, 2984, 616, 899, 16481, 2478, 269, 25592, 2478, 616, 19774, 689, 741, 5321, 1813, 547, 2518, 8337, 2943, 789, 1869, 3442, 547, 3251, 538, 1804, 2516, 543, 9846, 960, 2509, 1455, 3853, 269, 19452, 267, 2110, 2984, 616, 538, 2933, 1582, 8410, 22633, 269, 1809, 950, 10562, 267, 741, 26069, 267, 8090, 543, 8823, 1491, 936, 942, 543, 2230, 538, 513, 20982, 1259, 585, 519, 5467, 269, 10374, 2984, 14919, 899, 513, 26600, 630, 7692, 529, 685, 4015, 814, 476, 1691, 1367, 2984, 264, 543, 2943, 616, 695, 2863, 539, 547, 519, 5768, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18439, 3464, 543, 27505, 619, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 23874, 1299, 13491, 20445, 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, 519, 8748, 1158, 540, 5904, 256, 4653, 267, 649, 2811, 2469, 547, 4685, 883, 1945, 2731, 3579, 1572, 834, 11907, 17429, 6473, 1701, 1411, 1522, 4898, 1018, 713, 9490, 2165, 1797, 269, 4270, 267, 4952, 952, 707, 4116, 693, 1153, 6854, 18110, 519, 1482, 3992, 1169, 1554, 1107, 621, 1131, 1205, 7168, 19309, 267, 1318, 286, 1656, 5555, 267, 596, 9364, 1589, 267, 834, 20756, 267, 594, 2907, 917, 713, 10590, 3807, 899, 875, 596, 9327, 1405, 1616, 547, 5873, 519, 1482, 3364, 14578, 267, 5904, 1810, 1405, 2901, 950, 7231, 609, 1344, 269, 2334, 781, 1141, 1239, 17429, 6473, 2501, 538, 13561, 2439, 3086, 267, 1577, 803, 2995, 596, 513, 5728, 281, 3006, 6738, 13522, 1289, 621, 834, 1372, 268, 706, 4771, 257, 1317, 621, 781, 1454, 5488, 982, 6031, 834, 11907, 17429, 6473, 1701, 1924, 8164, 2576, 19528, 632, 268, 706, 4771, 267, 3314, 789, 1611, 3478, 7759, 540, 782, 1346, 3063, 12215, 540, 6119, 6740, 593, 5904, 1247, 5329, 1152, 835, 2189, 4528, 269, 1215, 1281, 713, 948, 286, 2913, 803, 2491, 998, 606, 1383, 780, 5331, 2348, 1079, 32766, 2407, 540, 5961, 593, 707, 2780, 269, 2290, 17835, 3568, 6337, 3144, 1282, 4832, 16314, 2063, 1032, 267, 543, 1776, 17835, 814, 2592, 2366, 676, 2828, 15386, 2147, 4025, 269, 3767, 267, 972, 1223, 581, 1896, 9838, 2592, 538, 1312, 891, 32766, 27830, 3407, 4859, 2230, 269, 1546, 268, 706, 4771, 786, 1265, 1346, 5918, 27289, 543, 4894, 873, 8850, 865, 596, 723, 1175, 835, 5299, 2451, 267, 9494, 6266, 540, 4055, 585, 1256, 811, 1187, 8631, 2439, 3719, 7227, 267, 972, 781, 811, 256, 3502, 1152, 1281, 632, 268, 706, 4771, 4688, 2230, 267, 855, 621, 849, 2337, 1832, 1919, 6896, 543, 2653, 547, 1569, 269, 6056, 827, 621, 899, 7738, 909, 707, 9162, 1310, 4730, 282, 3388, 13978, 22619, 344, 267, 1818, 621, 4443, 547, 1265, 1808, 3688, 2663, 269, 6684, 267, 950, 707, 2780, 6487, 799, 6119, 616, 1114, 8747, 540, 1142, 824, 267, 10478, 3587, 18334, 543, 4466, 4010, 1018, 596, 991, 3217, 1100, 942, 2439, 2467, 781, 930, 4241, 2029, 3297, 632, 268, 706, 4771, 1932, 269, 23675, 666, 5635, 6119, 1759, 593, 741, 9115, 2864, 982, 1175, 4408, 269, 1358, 1711, 2027, 22782, 610, 9416, 21646, 585, 1142, 3758, 1210, 1950, 2979, 12596, 269, 3973, 267, 789, 2638, 2436, 1022, 4540, 22782, 6474, 1354, 14045, 2436, 547, 1832, 610, 1167, 731, 513, 3758, 269, 1403, 621, 9060, 12805, 22782, 267, 621, 7436, 519, 26134, 607, 11991, 543, 18788, 621, 269, 27355, 1405, 602, 5100, 2496, 1103, 3932, 267, 1239, 17429, 6473, 949, 3280, 7294, 267, 855, 2899, 596, 1174, 922, 3483, 910, 9427, 3063, 12215, 540, 6119, 1247, 8497, 1175, 835, 2189, 4528, 910, 621, 2306, 3501, 2631, 269, 9578, 267, 945, 3085, 1405, 2648, 9494, 4859, 2230, 543, 3362, 4466, 5551, 6119, 286, 5457, 267, 1985, 942, 596, 5873, 2576, 6158, 827, 632, 268, 706, 4771, 267, 596, 3513, 917, 4010, 1018, 789, 1611, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 288, 1184, 1141, 519, 2203, 568, 8036, 609, 513, 3908, 2179, 540, 13042, 1239, 267, 543, 1287, 519, 2203, 2824, 338, 519, 1034, 13181, 5439, 547, 581, 13042, 676, 513, 1480, 4274, 269, 634, 9241, 13042, 1239, 568, 1287, 1031, 547, 1427, 1778, 519, 2203, 267, 4611, 538, 513, 811, 4977, 2203, 609, 1447, 13042, 1239, 269, 901, 27952, 1184, 6971, 519, 21458, 4674, 543, 10607, 519, 2203, 779, 2773, 563, 25369, 11106, 630, 9590, 994, 763, 11191, 540, 1480, 4987, 538, 6191, 602, 616, 23553, 547, 1685, 4247, 602, 3335, 2154, 1480, 4987, 267, 971, 607, 3308, 8226, 267, 4633, 6284, 267, 3375, 6194, 267, 543, 1893, 8144, 269, 3642, 1949, 666, 581, 2966, 547, 1451, 543, 2087, 936, 942, 267, 15268, 547, 1007, 3871, 543, 1239, 269, 3642, 568, 513, 6385, 3395, 2361, 602, 814, 519, 1761, 547, 22499, 1082, 6080, 543, 3344, 540, 938, 3232, 2729, 563, 19136, 4578, 4016, 547, 4578, 5036, 4171, 2450, 568, 3564, 519, 2702, 540, 6093, 6538, 3301, 2645, 547, 7001, 267, 4558, 267, 4383, 543, 5659, 269, 1284, 4122, 946, 519, 476, 274, 309, 547, 2822, 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, 3590, 10029, 1315, 19554, 1299, 4825, 4471, 1998, 1315, 4578, 667, 9254, 6473, 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, 6092, 5149, 281, 4197, 3427, 26291, 538, 3345, 10491, 692, 8702, 547, 938, 1576, 1770, 593, 1620, 875, 3506, 616, 18170, 1934, 538, 3345, 10491, 256, 1411, 1522, 581, 11842, 267, 834, 8005, 2306, 2386, 602, 1250, 1153, 814, 2614, 2724, 547, 7500, 286, 5808, 16976, 1018, 5049, 594, 991, 547, 1491, 8119, 4270, 267, 1577, 781, 4685, 883, 1565, 827, 519, 1004, 945, 1404, 891, 1271, 5107, 2439, 1103, 3345, 10491, 267, 649, 723, 1945, 1572, 519, 834, 16451, 1857, 1153, 1062, 1701, 901, 1797, 602, 1169, 1126, 538, 938, 1533, 666, 7390, 1153, 693, 1100, 1942, 547, 741, 3885, 269, 1809, 945, 781, 538, 5279, 540, 1818, 2386, 3388, 8255, 12347, 1369, 713, 1062, 286, 2334, 2816, 4422, 547, 1079, 1292, 2516, 281, 519, 3557, 8274, 540, 4065, 543, 519, 8111, 23734, 550, 540, 5398, 19019, 269, 2913, 781, 1205, 547, 917, 873, 1732, 780, 1262, 13750, 8274, 540, 4065, 630, 306, 23813, 264, 12533, 5785, 14945, 13914, 540, 519, 590, 23813, 899, 519, 20148, 540, 782, 519, 1857, 3506, 538, 3345, 10491, 269, 1358, 723, 519, 2462, 4605, 5539, 540, 13327, 4370, 543, 5883, 519, 3003, 1062, 269, 2368, 1883, 1919, 789, 798, 1331, 1384, 265, 2878, 21430, 3652, 5093, 634, 590, 23813, 5932, 4808, 630, 10193, 1634, 607, 4507 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 5767, 689, 519, 5816, 454, 8072, 17806, 6476, 3301, 585, 1053, 685, 281, 606, 3872, 1646, 1907, 610, 2656, 2048, 3667, 2638, 518, 685, 24121, 24066, 15070, 2436, 5238, 1058, 1930, 909, 1569, 547, 17096, 7020, 2533, 585, 1053, 585, 24233, 1565, 5301, 563, 13981, 827, 17096, 998, 1344, 7924, 912, 7093, 28124, 17096, 998, 1344, 7924, 563, 300, 529, 10517, 19948, 543, 3308, 19722, 538, 1374, 543, 1148, 912, 28097, 532, 519, 2152, 540, 3308, 19722, 543, 3765, 10517, 19948, 563, 21430, 2029, 960, 585, 4081, 8699, 538, 17111, 454, 763, 2360, 540, 1053, 1210, 12414, 527, 514, 538, 513, 24233, 1259, 563, 5522, 698, 14705, 2433, 589, 12681, 1445, 1895, 1353, 454, 289, 5802, 2287, 519, 1620, 540, 1053, 262, 2035, 540, 17096, 689, 7489, 4529, 563, 27832, 976, 3231, 660, 689, 26121, 513, 1773, 698, 14705, 17607, 22411, 454, 763, 2318, 2164, 540, 543, 4245, 4121, 689, 513, 17096, 4656, 3018, 563, 1692, 2500, 616, 5907, 17096, 7020, 1949, 543, 1281, 621, 2339, 875, 596, 946, 873, 888, 2750, 600, 1456, 519, 2963, 585, 519, 2360, 540, 17096, 7020, 1949, 563, 10112, 12371, 1053, 547, 2057, 17096, 912, 22860, 4506, 519, 7145, 540, 24233, 11925, 538, 3450, 827, 543, 7303, 17096, 563, 19547, 624, 267, 667, 2678, 267, 543, 2598, 1952, 792, 912, 27751, 543, 4245, 4121, 593, 513, 17096, 6604, 1788, 693, 31167, 1731, 550, 2160, 269, 0, 347, 1724, 5412, 476, 1220, 280, 454, 27860, 6520, 29746, 593, 4787, 6614, 12219, 676, 11761, 454, 2304, 3504, 6299, 321, 880, 9133, 910, 20948, 5176, 476, 273, 267, 1822, 1296, 3516, 910, 568, 7106, 8960, 883, 519, 13677, 4262, 267, 18840, 5505, 723, 19230, 269, 634, 11635, 6520, 544, 5200, 593, 4787, 6614, 781, 7178, 5032, 814, 865, 2484, 26857, 5642, 15998, 267, 6149, 2645, 267, 513, 7735, 14475, 689, 18057, 543, 519, 1283, 540, 513, 1480, 15693, 269, 1809, 4966, 616, 32626, 519, 2609, 538, 513, 5198, 547, 4688, 519, 476, 272, 267, 12010, 4458, 6040, 14951, 7708, 557, 689, 519, 2609, 563, 763, 812, 18478, 2645, 543, 15998, 616, 2907, 896, 4323, 689, 561, 4770, 6329, 543, 2178, 12798, 267, 609, 1713, 5666, 540, 1570, 2907, 4503, 547, 519, 4262, 269, 589, 1867, 3370, 676, 4400, 1633, 7027, 781, 19866, 5113, 16680, 1767, 602, 693, 519, 1699, 2557, 540, 11761, 267, 519, 3135, 786, 711, 2063, 3564, 476, 1001, 271, 269, 634, 11175, 568, 2219, 547, 723, 1044, 20948, 689, 476, 3199, 9460, 269, 898, 729, 4362, 676, 2199, 18840, 5505, 9410, 8187, 2998, 846, 543, 24697, 21960, 577, 538, 476, 1220, 276, 563, 2750, 322, 822, 725, 2063, 1032, 543, 713, 1032, 723, 20114, 513, 1297, 540, 4241, 3615, 269, 7324, 519, 2645, 543, 3662, 7633, 267, 18840, 5505, 1336, 519, 3788, 540, 513, 1480, 15693, 609, 513, 1507, 8559, 1743, 2683, 883, 519, 1283, 269, 20226, 723, 1179, 4327, 602, 519, 8559, 1223, 723, 1044, 1500, 1247, 519, 6408, 729, 1869, 9800, 607, 513, 18642, 1106, 540, 6391, 563, 763, 4224, 12062, 543, 544, 5200, 267, 1634, 607, 772, 600, 327, 606, 661, 747, 13225, 878, 267, 610, 29190, 540, 519, 4325, 1188, 1194, 21696, 267, 568, 827, 476, 274, 14790, 5045, 29891, 540, 519, 8498, 540, 674, 7416, 6072, 580, 269, 898, 568, 5393, 2352, 547, 1205, 547, 519, 3135, 676, 2244, 267, 609, 14155, 2209, 2348, 547, 21907, 513, 14869, 476, 1911, 25451, 16350, 540, 1164, 6371, 543, 646, 1430, 547, 519, 13272, 2630, 269, 7457, 676, 4262, 568, 1152, 2009, 538, 9350, 2175, 267, 1813, 547, 519, 13818, 13941, 593, 513, 536, 30629, 543, 890, 321, 1076, 11824, 563, 763, 3135, 729, 20114, 950, 513, 5458, 5657, 639, 267, 610, 18061, 540, 7745, 4224, 267, 602, 1185, 6870, 519, 13946, 689, 519, 4262, 729, 13148, 1786, 3737, 1282, 519, 5162, 15420, 540, 476, 1220, 276, 269, 4595, 1287, 267, 519, 29500, 723, 6534, 519, 3135, 543, 3136, 547, 11547, 856, 1007, 1570, 593, 513, 2834, 4493, 269, 1879, 621, 2968, 2312, 602, 942, 729, 1996, 519, 18840, 5505, 267, 19866, 10430, 23032, 519, 14155, 725, 547, 9156, 607, 1082, 818, 974, 30440, 607, 2009, 1354, 519, 3135, 729, 10032, 269, 589, 22557, 30513, 585, 19866, 10430, 1767, 281, 834, 5804, 519, 2963, 10356, 621, 729, 2312, 602, 606, 1271, 543, 8966, 3135, 729, 693, 4049, 1981, 689, 11173, 11761, 269, 589, 5859, 540, 26995, 729, 3533, 22555, 267, 609, 7616, 689, 19866, 10430, 543, 1866, 269, 634, 14155, 725, 723, 7000, 602, 1282, 519, 11635, 6520, 267, 1004, 1031, 713, 4087, 607, 513, 10151, 1753, 1701, 19672, 540, 1346, 945, 5030, 538, 519, 13946, 941, 2943, 547, 10836, 267, 1352, 1767, 267, 4946, 602, 689, 5571, 2079, 972, 729, 2178, 2963, 540, 4496, 268, 11529, 563, 306, 1545, 281, 18917, 5240, 630, 1015, 5412, 476, 1220, 280, 1070, 634, 29703, 2006, 630, 1556, 5412, 476, 1220, 280, 994, 18704, 713, 2546, 281, 0, 15404, 3380, 616, 32248, 15985, 956, 540, 8031, 602, 1847, 519, 1560, 267, 2226, 922, 14302, 267, 543, 960, 4835, 8219, 971, 607, 519, 2295, 267, 24026, 267, 543, 15485, 269, 1452, 3252, 616, 5340, 676, 1614, 1114, 2010, 540, 4887, 630, 2431, 1070, 540, 799, 20258, 4887, 2306, 909, 519, 6574, 13557, 563, 15404, 3380, 616, 6417, 676, 6786, 689, 519, 8401, 1062, 269, 28024, 13762, 4887, 666, 581, 6417, 29596, 267, 1247, 519, 824, 2010, 960, 8850, 269, 4107, 22403, 6091, 1921, 1079, 11105, 7633, 269, 2290, 1439, 540, 519, 4887, 568, 7923, 676, 513, 8465, 10260, 540, 32248, 5160, 1572, 513, 25688, 282, 519, 824, 568, 7923, 676, 513, 25688, 610, 676, 513, 6656, 540, 24561, 5160, 269, 634, 22403, 6091, 711, 1152, 1847, 2694, 540, 519, 1560, 855, 849, 948, 547, 2226, 519, 14302, 950, 513, 1268, 568, 7555, 267, 9361, 267, 610, 14084, 1524, 269, 634, 4408, 540, 930, 6091, 2303, 741, 3252, 269, 6987, 839, 832, 2786, 523, 10549, 267, 4827, 832, 18846, 10549, 267, 740, 2265, 832, 1847, 17873, 2509, 267, 543, 552, 516, 4701, 6318, 610, 3180, 909, 2694, 540, 519, 1560, 269, 2368, 540, 519, 1292, 22403, 6091, 616, 11609, 2630, 563, 15650, 540, 26298, 454, 763, 1614, 2010, 540, 4887, 616, 22403, 4887, 267, 799, 6227, 543, 1847, 519, 22403, 282, 13487, 4887, 267, 799, 3029, 519, 6821, 540, 519, 2295, 282, 543, 5347, 4887, 267, 1336, 538, 519, 6821, 540, 519, 9667, 8778, 267, 519, 1973, 8043, 267, 543, 519, 19058, 543, 17256, 8778, 338, 269, 3962, 1826, 540, 4887, 814, 513, 1114, 1599, 543, 5161, 540, 26939, 540, 513, 1880, 3337, 269, 28024, 13987, 6091, 267, 799, 7575, 519, 17873, 543, 1560, 267, 568, 4646, 540, 1279, 267, 2178, 267, 6252, 26939, 269, 901, 1826, 540, 4887, 568, 2111, 547, 4579, 3533, 543, 1379, 2685, 855, 666, 960, 693, 5021, 4222, 1152, 585, 2110, 5712, 540, 942, 269, 9839, 4887, 15450, 1973, 1472, 519, 1560, 269, 898, 13408, 2110, 267, 4839, 4221, 267, 954, 15062, 539, 26939, 602, 1106, 513, 3060, 1369, 519, 6821, 540, 519, 2295, 269, 901, 1826, 540, 4887, 666, 960, 11179, 1510, 512, 3931, 269, 3911, 26743, 4887, 11438, 856, 3252, 971, 607, 3001, 1426, 998, 519, 9667, 8778, 269, 898, 568, 7768, 540, 2110, 267, 32605, 8032, 26939, 602, 616, 4448, 547, 1106, 9212, 267, 543, 666, 960, 585, 12675, 5712, 563, 1692, 4053, 3380, 4518, 454, 31161, 618, 4386, 950, 6786, 689, 519, 8401, 1062, 2014, 6091, 547, 4579, 269, 3117, 4109, 5322, 540, 519, 1560, 616, 3812, 676, 519, 5872, 540, 22403, 6091, 267, 7633, 267, 543, 10549, 269, 4107, 6091, 1921, 267, 621, 27605, 593, 519, 7633, 547, 1847, 873, 269, 3509, 6091, 616, 1336, 538, 8424, 267, 835, 593, 1142, 2427, 540, 513, 4745, 267, 543, 3132, 15852, 3350, 269, 1280, 1383, 267, 538, 519, 5580, 6186, 267, 519, 28886, 10134, 11731, 547, 7485, 519, 6186, 2786, 543, 519, 22833, 10134, 11731, 547, 18846, 519, 6186, 269, 0, 17138, 594, 7482, 616, 7856, 547, 1153, 13102, 2687, 547, 513, 1305, 540, 2185, 5094, 12596, 281, 519, 9978, 16827, 267, 24517, 1674, 16827, 267, 28080, 9643, 26859, 16827, 267, 543, 519, 4065, 16010, 769, 1417, 633, 16827, 7616, 12596, 269, 3427, 13102, 723, 930, 24787, 538, 875, 789, 15814, 7170, 594, 7482, 1851, 3506, 1369, 519, 8664, 267, 855, 519, 1876, 3340, 873, 547, 4225, 519, 5207, 1790, 20191, 3506, 563, 21995, 16827, 16754, 454, 763, 9978, 16827, 4542, 782, 665, 919, 7616, 547, 1153, 13102, 1759, 593, 519, 1297, 540, 4057, 1453, 789, 4196, 269, 7102, 1153, 8664, 609, 693, 2547, 476, 1015, 4057, 1453, 543, 476, 273, 2600, 540, 922, 1053, 538, 6710, 11392, 7616, 998, 519, 9978, 16827, 4542, 267, 865, 3592, 782, 1153, 13102, 267, 1256, 1360, 3413, 23308, 1153, 13102, 267, 1205, 693, 2547, 930, 7170, 594, 7616, 998, 713, 4542, 269, 769, 16642, 1032, 476, 1001, 275, 267, 1269, 277, 269, 275, 5479, 267, 610, 476, 3393, 2600, 540, 782, 7170, 594, 7616, 267, 729, 7856, 998, 519, 9978, 16827, 4542, 269, 634, 9978, 16827, 4542, 568, 519, 2547, 6098, 540, 519, 2185, 7170, 594, 12596, 563, 3519, 1417, 1674, 16827, 16754, 454, 763, 24517, 1674, 16827, 4542, 849, 2488, 7616, 547, 3506, 1759, 593, 519, 1297, 540, 4057, 1453, 789, 4196, 269, 1677, 4309, 2724, 1498, 519, 24517, 1674, 4542, 267, 1153, 13102, 1590, 723, 693, 2547, 476, 1428, 2600, 540, 1453, 538, 6710, 610, 476, 277, 267, 4335, 4057, 1453, 267, 627, 31295, 568, 1447, 269, 4432, 580, 2225, 29676, 4196, 607, 834, 743, 14554, 9899, 15534, 1991, 1032, 25046, 267, 1153, 13102, 609, 476, 1691, 269, 280, 2600, 6710, 543, 476, 277, 267, 275, 4200, 4057, 1453, 4309, 4642, 24517, 1674, 16827, 5351, 563, 15152, 1312, 519, 9978, 16827, 543, 24517, 1674, 16827, 12596, 267, 2899, 1153, 8664, 1780, 519, 12939, 6871, 540, 4057, 1453, 2838, 547, 4309, 7616, 267, 789, 4309, 519, 1482, 2179, 540, 2724, 829, 4057, 1126, 7488, 540, 875, 1082, 4057, 1453, 789, 4196, 269, 769, 824, 1913, 267, 513, 1153, 8664, 609, 476, 1428, 2600, 540, 1453, 538, 6710, 4991, 519, 1482, 2179, 540, 2724, 829, 4057, 1126, 607, 513, 1153, 8664, 609, 476, 4200, 2600, 540, 1453, 538, 6710, 1765, 9188, 3145, 9645, 2963, 602, 621, 3790, 811, 547, 13599, 1053, 538, 3506, 609, 1164, 6710, 3928, 563, 3519, 1417, 1674, 16827, 7482, 616, 3177, 593, 1283, 540, 2724, 513, 1153, 8664, 11392, 998, 519, 9978, 16827, 4542, 269, 769, 16642, 1032, 476, 1001, 275, 267, 1269, 272, 269, 275, 5479, 267, 610, 827, 476, 280, 2600, 540, 7170, 594, 7616, 267, 729, 7856, 998, 519, 24517, 1674, 4542, 563, 763, 28080, 9643, 26859, 16827, 4542, 568, 1114, 281, 13298, 982, 3246, 519, 1482, 2179, 540, 7170, 594, 7616, 829, 4057, 1126, 267, 621, 2488, 811, 2724, 829, 1126, 607, 513, 8664, 779, 6710, 2557, 4679, 267, 865, 602, 2362, 1790, 20191, 1153, 13102, 1205, 811, 2724, 829, 4057, 1126, 982, 2539, 3283, 798, 563, 10376, 3606, 1126, 538, 6710, 1657, 476, 4343, 2600, 6770, 513, 8664, 476, 275, 2053, 607, 1454, 7170, 594, 7616, 607, 1142, 4057, 1126, 909, 547, 476, 1626, 2600, 540, 1453, 538, 6710, 269, 3962, 3606, 1126, 538, 6710, 3564, 476, 3374, 267, 276, 1428, 6770, 513, 8664, 476, 274, 2053, 607, 1454, 7170, 594, 7616, 607, 922, 1101, 476, 7597, 272, 1453, 538, 6710, 269, 13379, 532, 13333, 593, 513, 8589, 4493, 547, 2057, 513, 834, 743, 858, 257, 1198, 563, 1103, 16642, 1032, 476, 1001, 275, 267, 1269, 274, 269, 274, 5479, 267, 610, 476, 2537, 2600, 540, 5313, 7170, 594, 7616, 267, 729, 7856, 998, 519, 28080, 9643, 26859, 16827, 4542, 269, 634, 28080, 9643, 26859, 16827, 4542, 568, 519, 2034, 1034, 6098, 7170, 594, 4542, 547, 1153, 13102, 18487, 563, 19733, 16010, 769, 1417, 633, 16827, 16754, 454, 763, 4065, 16010, 769, 1417, 633, 16827, 16754, 568, 2966, 547, 281, 630, 272, 264, 8007, 834, 16591, 1153, 8804, 2829, 257, 602, 6108, 811, 1533, 2200, 593, 1857, 2069, 543, 15814, 602, 7616, 1226, 19935, 267, 543, 630, 273, 264, 6065, 569, 3077, 7482, 593, 1164, 6710, 1153, 13102, 538, 834, 21112, 1153, 8804, 2829, 257, 602, 6528, 19935, 15814, 1533, 543, 2199, 2069, 7616, 269, 2755, 1153, 8804, 568, 7361, 2451, 909, 547, 2829, 543, 2199, 1153, 13102, 267, 519, 5313, 661, 20983, 4542, 7512, 811, 12581, 7616, 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 ]
[ 1599, 540, 8219, 1369, 1114, 2168, 543, 3114, 3601, 540, 17234, 538, 543, 946, 11269, 547, 20272, 3270, 543, 1210, 513, 8904, 1207, 1375, 344, 269, 1358, 20272, 1648, 2095, 10285, 1949, 269, 1358, 2015, 7881, 950, 1931, 547, 3914, 8753, 827, 741, 2721, 8753, 827, 4224, 2010, 267, 4224, 8108, 543, 2491, 875, 519, 1062, 3252, 538, 2474, 540, 4058, 13753, 543, 2992, 593, 519, 29839, 585, 946, 538, 513, 7535, 2515, 11381, 269, 4841, 3157, 543, 519, 17027, 1686, 540, 1648, 19132, 543, 14759, 269, 4841, 6286, 540, 3435, 585, 1114, 2516, 269, 2491, 4767, 2242, 1210, 519, 9325, 8916, 269, 4841, 4766, 513, 3510, 538, 1459, 2963, 2861, 4681, 1210, 4841, 20272, 3466, 9648, 538, 12093, 2203, 540, 2339, 269, 799, 3744, 32524, 609, 824, 3617, 3621, 1893, 543, 9979, 269, 23909, 547, 5352, 513, 3070, 547, 513, 11269, 269, 4207, 1966, 267, 543, 2697, 1981, 543, 2303, 1981, 2359, 2994, 2404, 609, 17027, 2361, 1740, 269, 1358, 946, 3617, 1893, 543, 11269, 547, 5968, 2257, 2093, 563, 17413, 476, 280, 5149, 476, 272, 5149, 476, 273, 5149, 476, 274, 5149, 476, 275, 5149, 476, 276, 5149, 476, 277, 5149, 476, 278, 5149, 476, 279, 3163, 6052, 593, 519, 1847, 269, 10435, 6329, 269, 898, 781, 10026, 269, 21744, 3047, 269, 3733, 1272, 538, 3666, 269, 29594, 532, 547, 11906, 18963, 269, 14333, 543, 16202, 269, 4841, 786, 281, 4841, 786, 281, 4841, 786, 281, 4841, 786, 281, 4841, 786, 281, 1689, 269, 4841, 786, 281, 4841, 786, 281, 4841, 786, 281, 2263, 519, 2263, 519, 3140, 2697, 1480, 1560, 4497, 538, 519, 2263, 513, 2039, 540, 4983, 267, 22679, 790, 543, 1628, 593, 741, 1646, 540, 1646, 540, 519, 1949, 543, 519, 2081, 538, 2263, 519, 2035, 3408, 540, 3114, 3114, 2491, 2081, 538, 799, 1702, 540, 1648, 3621, 2093, 827, 3069, 540, 6676, 799, 789, 960, 1927, 540, 1689, 1369, 606, 6547, 543, 519, 6547, 543, 1648, 666, 581, 4483, 547, 1331, 519, 8444, 543, 741, 23033, 9582, 269, 538, 3666, 547, 1489, 1272, 269, 5117, 269, 3498, 540, 891, 538, 741, 3498, 538, 11843, 998, 5951, 2861, 3631, 540, 1016, 30061, 5536, 267, 2713, 543, 1875, 2000, 1516, 4948, 1272, 269, 1114, 23447, 1648, 4483, 1644, 7291, 875, 519, 3252, 1174, 602, 782, 1272, 22571, 267, 25268, 543, 2203, 543, 1949, 269, 1519, 1210, 519, 547, 3280, 543, 1769, 269, 540, 519, 1949, 616, 568, 4448, 998, 4983, 513, 3126, 9325, 2203, 269, 9211, 269, 8495, 17027, 20291, 547, 1683, 8134, 269, 1174, 602, 540, 3114, 8495, 5951, 3157, 3238, 538, 519, 1898, 3114, 1689, 6547, 1031, 538, 723, 3255, 547, 5163, 543, 875, 8495, 519, 3047, 3350, 269, 4170, 585, 1272, 269, 20272, 875, 3322, 519, 1426, 2504, 1374, 7634, 1114, 23447, 2497, 543, 3096, 540, 6211, 1949, 22198, 4474, 540, 8444, 1519, 2055, 543, 2445, 1860, 3280, 543, 1769, 24745, 543, 2015, 5635, 1114, 20272, 543, 3589, 519, 1599, 543, 2226, 547, 1106, 1007, 18829, 267, 11050, 543, 4483, 269, 519, 3157, 543, 2010, 540, 29684, 6676, 2360, 540, 519, 3666, 269, 6878, 269, 19140, 2305, 267, 12007, 1239, 543, 2472, 540, 14599, 6302, 543, 519, 1604, 593, 1560, 15074, 566, 543, 9178, 1519, 29684, 2621, 602, 1949, 267, 543, 1865, 2263, 875, 1114, 4983, 1648, 1344, 593, 519, 2095, 2263, 2081, 538, 799, 3954, 4405, 566, 269, 5982, 543, 3368, 3734, 269, 2049, 693, 891, 875, 519, 1560, 20781, 8134, 4431, 4483, 538, 6547, 267, 540, 3002, 543, 5122, 3425, 723, 1031, 543, 6302, 269, 547, 2242, 538, 519, 547, 5007, 2242, 519, 2470, 543, 2263, 519, 1648, 269, 6417, 3280, 543, 1174, 602, 1604, 543, 547, 543, 4983, 519, 6547, 540, 7408, 267, 607, 10727, 540, 1769, 1648, 4483, 585, 5222, 593, 5149, 11137, 946, 891, 4681, 267, 4052, 5301, 269, 3621, 1702, 2263, 6639, 3676, 269, 1134, 607, 519, 3679, 11486, 848, 543, 2093, 827, 519, 7835, 602, 5095, 267, 519, 5726, 540, 2527, 10832, 1500, 3621, 1702, 2497, 540, 8444, 543, 723, 29211, 3744, 1382, 519, 2318, 543, 954, 30447, 4721, 538, 3114, 6547, 269, 689, 2067, 2030, 543, 1991, 1620, 1374, 543, 2932, 24745, 814, 4957, 538, 519, 1353, 540, 2942, 3344, 540, 9648, 1369, 543, 23416, 269, 547, 1106, 8753, 269, 13753, 547, 607, 1007, 2963, 814, 29684, 6676, 12674, 543, 946, 519, 2095, 540, 2339, 543, 3136, 547, 1020, 10141, 513, 1106, 540, 1831, 2139, 269, 3350, 543, 2963, 547, 17854, 1648, 998, 606, 741, 3621, 14374, 1374, 543, 6218, 3137, 1648, 998, 513, 2015, 875, 891, 3664, 1644, 547, 5117, 269, 1983, 676, 2502, 538, 513, 2932, 543, 6811, 1210, 5420, 1210, 2139, 1382, 519, 946, 540, 4217, 7239, 2713, 12674, 269, 2039, 540, 13753, 13753, 602, 3621, 1702, 269, 3937, 543, 25666, 2055, 5925, 529, 582, 8554, 538, 513, 538, 29684, 3887, 1203, 1519, 7893, 6542, 875, 2326, 269, 2015, 1699, 543, 543, 2932, 1382, 2039, 540, 2127, 540, 2127, 269, 519, 9063, 540, 11934, 267, 3114, 2708, 1648, 2104, 7835, 538, 547, 8495, 875, 606, 2486, 543, 2015, 18187, 908, 5836, 6547, 31931, 538, 2777, 20272, 8097, 6669, 2029, 543, 5117, 15527, 519, 5222, 540, 891, 1382, 519, 1764, 3679, 2305, 543, 5473, 1648, 1374, 543, 946, 540, 543, 2034, 11804, 1239, 2992, 593, 875, 519, 2115, 547, 606, 3665, 2680, 269, 3096, 593, 2486, 267, 540, 29684, 2621, 6313, 519, 4483, 666, 581, 5122, 14233, 585, 543, 2697, 540, 2486, 3310, 519, 1519, 519, 971, 607, 16767, 267, 3114, 6547, 4294, 538, 1426, 8022, 543, 9023, 547, 3347, 1369, 519, 1445, 540, 3621, 2029, 543, 20016, 600, 529, 543, 1031, 538, 8216, 4411, 7041, 269, 1118, 5483, 1239, 269, 1382, 269, 23909, 4611, 22747, 593, 24502, 269, 3664, 827, 519, 2708, 1981, 267, 3310, 540, 2257, 2263, 519, 2497, 689, 891, 3096, 269, 3425, 543, 4766, 6218, 689, 513, 3621, 4019, 741, 1852, 4632, 267, 543, 2029, 593, 543, 946, 540, 7574, 1141, 2257, 543, 5133, 543, 946, 1620, 547, 5531, 543, 1648, 946, 269, 7405, 676, 9691, 6218, 519, 2029, 616, 3617, 1893, 6218, 6811, 1644, 20272, 3119, 5245, 781, 3689, 2959, 540, 741, 7700, 547, 519, 543, 11269, 547, 2825, 1239, 267, 2697, 901, 1770, 2115, 547, 24447, 269, 21503, 1646, 540, 10930, 950, 14379, 2152, 543, 2015, 22114, 267, 9551, 324, 5149, 476, 273, 10435, 1344, 269, 5656, 269, 741, 2093, 543, 4681, 269, 875, 519, 3498, 540, 6218, 2409, 6329, 269, 634, 901, 1770, 2115, 547, 7998, 5540, 543, 1118, 4879, 540, 930, 1246, 5149, 476, 272, 281, 6052, 593, 1004, 781, 2729, 269, 7840, 2035, 538, 713, 1770, 568, 519, 1847, 269, 547, 2087, 519, 538, 5149, 476, 273, 10435, 6329, 269, 2298, 540, 2963, 563, 10743, 1058, 3565, 547, 606, 1367, 4879, 1165, 1470, 602, 2488, 2963, 540, 741, 1565, 543, 4564, 741, 10781, 936, 519, 1032, 269, 634, 1165, 1470, 1058, 1331, 513, 2039, 543, 3666, 540, 10526, 585, 3610, 547, 1118, 4570, 21520, 827, 2436, 519, 2875, 814, 1558, 519, 9740, 3044, 269, 19590, 476, 272, 543, 476, 273, 19590, 476, 274, 543, 476, 275, 19590, 476, 276, 543, 476, 277, 19590, 476, 278, 543, 476, 279, 5149, 476, 272, 281, 5149, 476, 274, 281, 5149, 476, 276, 281, 5149, 476, 278, 281, 15766, 908, 8143, 13471, 10289, 5925, 529, 582, 8554, 4197, 519, 1198, 540, 5007, 2188, 593, 1703, 568, 1100, 14805, 894, 4879, 540, 2875, 21885, 7634, 519, 1560, 1565, 538, 713, 1770, 269, 12143, 4841, 1374, 543, 2932, 606, 7634, 11929, 827, 1648, 4483, 538, 1753, 13471, 543, 4841, 1382, 513, 5925, 529, 582, 2100, 267, 4766, 543, 20272, 1239, 547, 2721, 8753, 827, 513, 2491, 922, 2497, 267, 5925, 13808, 543, 513, 4052, 4841, 5968, 1620, 540, 519, 3815, 602, 5222, 593, 519, 7145, 540, 606, 946, 540, 713, 5925, 529, 582, 2100, 267, 543, 6218, 875, 922, 1560, 779, 3210, 547, 5007, 2242, 543, 4766, 10495, 13471, 1570, 269, 3156, 1860, 1004, 779, 2729, 269, 1514, 2188, 543, 2104, 7835, 540, 12674, 6236, 3621, 5380, 269, 5149, 476, 273, 281, 5149, 476, 275, 281, 5149, 476, 277, 281, 5149, 476, 279, 281, 4112, 8724, 519, 4483, 540, 1769, 543, 3280, 4112, 8724, 6676, 23033, 9582, 1323, 26087, 532, 5117, 2242, 10289, 1648, 538, 3114, 6547, 11929, 11929, 12143, 21885, 7634, 4841, 2491, 519, 4483, 540, 1648, 1210, 4841, 2491, 875, 17027, 3157, 1267, 4841, 8495, 875, 606, 5117, 3252, 4841, 1382, 3114, 6547, 543, 1648, 1114, 3631, 267, 1374, 606, 7634, 538, 29684, 2621, 543, 2242, 547, 519, 3047, 779, 543, 15387, 3666, 1369, 3339, 10892, 19132, 543, 1287, 1374, 543, 2932, 606, 1505, 267, 1519, 1852, 543, 6482, 2627, 267, 2697, 3270, 543, 3466, 538, 6281, 7182, 269, 1358, 25666, 1382, 2055, 547, 7634, 547, 3313, 519, 2010, 543, 9424, 540, 4632, 267, 2445, 1239, 543, 2697, 1239, 543, 6218, 6281, 2959, 547, 16472, 4983, 875, 606, 5117, 20781, 1739, 513, 540, 2746, 1218, 1655, 14018, 547, 24667, 908, 15409, 840, 268, 3347, 1063, 4632, 269, 14496, 540, 6811, 269, 1358, 849, 4766, 2188, 602, 1480, 1764, 610, 20296, 2680, 269, 11273, 6980, 269, 723, 12936, 593, 519, 1646, 540, 519, 3069, 540, 6676, 23033, 9582, 563, 17413, 476, 1015, 5149, 476, 272, 5149, 476, 273, 5149, 476, 274, 5149, 476, 275, 5149, 476, 276, 5149, 476, 277, 5149, 476, 278, 5149, 476, 279, 3163, 5020, 18671, 788, 29251, 269, 5020, 5345, 11510, 269, 11061, 3884, 1406, 11906, 25021, 13966, 269, 6052, 540, 5163, 269, 6820, 1949, 634, 7122, 269, 4841, 786, 4841, 786, 281, 9059, 6547, 2339, 269, 4841, 786, 2433, 4841, 786, 281, 4841, 786, 281, 4841, 786, 2433, 4841, 786, 281, 4841, 786, 281, 2263, 11976, 543, 1628, 593, 741, 2263, 543, 4019, 8495, 519, 2263, 875, 3047, 568, 1174, 602, 519, 7122, 568, 19021, 640, 269, 1702, 540, 11976, 2445, 543, 2263, 519, 2188, 13053, 781, 1614, 1764, 540, 4229, 543, 7768, 540, 2185, 1500, 909, 540, 513, 3099, 540, 543, 18472, 6591, 20272, 1239, 547, 602, 1860, 5114, 4031, 540, 5163, 547, 1648, 593, 519, 5163, 15025, 543, 2934, 267, 1519, 15270, 267, 4983, 519, 2078, 538, 5149, 476, 272, 5020, 2697, 3270, 538, 3928, 998, 3589, 267, 4766, 540, 3615, 269, 6422, 1412, 4944, 12742, 3299, 6801, 543, 3859, 1949, 267, 543, 543, 5173, 519, 1369, 799, 519, 2518, 602, 519, 8262, 10854, 3069, 666, 1063, 5027, 267, 6090, 267, 23039, 29251, 269, 10570, 2497, 8343, 543, 1198, 540, 4229, 593, 1949, 543, 9979, 581, 1031, 547, 2491, 519, 5169, 540, 27586, 543, 519, 1200, 3386, 543, 519, 3601, 17634, 269, 946, 519, 4031, 540, 519, 5163, 540, 7500, 269, 1452, 616, 519, 519, 7122, 269, 7592, 540, 606, 11248, 269, 1020, 606, 540, 2609, 543, 5163, 543, 519, 4521, 1620, 540, 875, 875, 891, 9305, 1544, 267, 2932, 267, 3615, 269, 540, 11094, 540, 12776, 14459, 267, 7291, 519, 8262, 10854, 3069, 4766, 543, 5635, 519, 519, 29159, 540, 547, 519, 13539, 6218, 543, 6052, 547, 3589, 267, 3289, 4592, 335, 1877, 267, 1020, 2055, 543, 2689, 2963, 1079, 1292, 3029, 540, 1591, 1272, 689, 513, 2582, 540, 519, 13350, 1867, 593, 606, 4766, 543, 2491, 5790, 543, 543, 19165, 267, 5885, 519, 3069, 269, 6498, 538, 24087, 4925, 543, 18577, 2249, 568, 3349, 269, 7634, 883, 519, 4539, 540, 1979, 14459, 269, 2708, 4220, 267, 543, 2697, 519, 7687, 540, 519, 2491, 875, 4719, 6045, 676, 16817, 781, 5114, 2557, 540, 513, 2015, 6111, 519, 4028, 2242, 538, 2015, 875, 2339, 1570, 568, 11843, 689, 3069, 540, 4720, 676, 946, 3621, 3114, 1184, 269, 519, 4229, 543, 8262, 10854, 3069, 543, 21028, 950, 1210, 513, 9979, 1369, 543, 602, 6436, 616, 15428, 543, 2385, 547, 15556, 1282, 2067, 5542, 269, 1702, 540, 606, 2039, 540, 2409, 267, 1648, 9117, 1282, 1063, 891, 1591, 6498, 269, 11046, 781, 6475, 4983, 1114, 21611, 269, 3621, 2093, 1689, 936, 1519, 519, 946, 21384, 267, 971, 607, 538, 519, 942, 267, 607, 1007, 2963, 568, 1382, 519, 11460, 547, 2010, 540, 6547, 540, 3059, 3327, 4783, 543, 519, 4983, 875, 32450, 543, 1646, 540, 519, 3589, 519, 543, 2015, 519, 6218, 6174, 10356, 269, 4066, 267, 547, 1216, 4783, 267, 543, 946, 15817, 3565, 547, 3069, 540, 4720, 543, 5250, 540, 12274, 269, 28252, 540, 519, 2445, 6325, 3106, 2934, 1210, 3621, 1702, 547, 4983, 1114, 2010, 540, 5182, 4719, 3099 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 669, 994, 8931, 825, 952, 7003, 263, 23637, 264, 3436, 476, 271, 912, 1038, 2132, 834, 24001, 281, 1412, 24001, 262, 1336, 267, 4397, 1412, 24001, 262, 2668, 8971, 6600, 32327, 267, 10518, 15631, 272, 3910, 1347, 18380, 314, 577, 7481, 825, 3116, 912, 1038, 2132, 834, 24001, 281, 2353, 23049, 6474, 256, 2668, 8971, 6600, 32327, 2020, 258, 6301, 910, 1224, 1592, 540, 6119, 689, 15682, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 3403, 6958, 3796, 815, 5895, 3052, 331, 984, 9272, 6958, 3796, 5091, 597, 994, 825, 585, 3758, 12949, 538, 3403, 6958, 3796, 912, 1038, 1347, 8217, 815, 1205, 318, 10420, 8217, 31526, 12949, 994, 1038, 20444, 326, 815, 23049, 8548, 2255, 263, 10420, 8217, 267, 3758, 12949, 21858, 3488, 270, 10807, 15631, 272, 7481, 1038, 1820, 263, 916, 326, 994, 0, 3698, 19244, 3287, 8029, 825, 9041, 21653, 815, 7003, 3287, 3418, 825, 7368, 815, 1496, 15947, 825, 585, 1775, 538, 2039, 263, 318, 21653, 8029, 1038, 737, 815, 1775, 1341, 476, 272, 1477, 1038, 585, 795, 538, 2039, 17347, 267, 9041, 21653, 8029, 2018, 952, 1535, 5157, 316, 2652, 1535, 14728, 316, 543, 1535, 5157, 316, 711, 538, 7368, 6769, 3546, 7368, 6910, 3287, 5157, 29573, 825, 2132, 7368, 24653, 4289, 272, 815, 1496, 1015, 267, 476, 736, 267, 476, 1789, 267, 476, 736, 267, 476, 736, 267, 476, 1789, 267, 476, 2412, 267, 2004, 267, 910, 736, 267, 476, 2568, 267, 476, 2568, 267, 910, 736, 267, 910, 736, 15947, 2745, 263, 3725, 701, 520, 17338, 272, 264, 10142, 258, 561, 272, 815, 1496, 476, 273, 267, 476, 274, 267, 476, 271, 267, 476, 276, 267, 476, 272, 267, 476, 272, 267, 476, 273, 9948, 1477, 258, 561, 273, 815, 314, 476, 274, 267, 476, 271, 267, 476, 276, 267, 476, 272, 15947, 258, 952, 630, 4289, 263, 3553, 10857, 273, 9984, 3553, 10857, 272, 30727, 2652, 32582, 6769, 258, 672, 1820, 3488, 13433, 20298, 258, 3116, 6769, 258, 672, 1820, 3488, 7224, 20298, 5897, 258, 1219, 4017, 20906, 16325, 8029, 258, 672, 535, 19571, 815, 476, 271, 1477, 258, 672, 521, 19571, 815, 476, 272, 1477, 258, 672, 952, 1003, 10922, 271, 6769, 258, 1363, 1820, 3488, 4532, 8091, 3403, 20298, 258, 672, 8640, 1003, 2652, 272, 6769, 258, 1363, 2132, 521, 19571, 1477, 258, 672, 3116, 6769, 258, 1363, 585, 1775, 538, 2039, 263, 273, 267, 11133, 8029, 258, 17264, 512, 19571, 815, 535, 19571, 1341, 521, 19571, 1477, 258, 17264, 535, 19571, 815, 521, 19571, 1477, 258, 17264, 521, 19571, 815, 512, 19571, 1477, 258, 1363, 2132, 521, 19571, 1477, 258, 1477, 258, 1477, 258, 1820, 6600, 756, 20906, 263, 276, 264, 10142, 258, 589, 7780, 1006, 9577, 547, 1265, 519, 1455, 1477, 258, 18772, 1063, 1101, 543, 2063, 12673, 1477, 3698, 1455, 7093, 25785, 25219, 559, 19304, 272, 267, 1193, 273, 8029, 825, 1948, 562, 272, 815, 7003, 19304, 272, 3418, 825, 1948, 562, 273, 815, 7003, 19304, 273, 3418, 825, 1948, 1477, 825, 1267, 815, 834, 257, 5897, 825, 1948, 795, 815, 476, 271, 1477, 825, 1948, 1775, 815, 476, 271, 1477, 825, 1948, 1247, 630, 328, 10922, 562, 272, 910, 476, 272, 543, 795, 10922, 562, 273, 910, 476, 272, 8029, 825, 1948, 672, 952, 630, 1598, 272, 5157, 316, 11203, 1193, 273, 14728, 316, 8029, 825, 1948, 1363, 2736, 1477, 825, 1948, 672, 1267, 6834, 630, 1598, 272, 5157, 29573, 825, 1948, 1477, 825, 1948, 672, 1775, 6834, 476, 272, 1477, 825, 1948, 672, 795, 6834, 476, 272, 1477, 825, 561, 272, 815, 1592, 19304, 272, 3418, 825, 561, 273, 815, 1592, 19304, 273, 3418, 825, 1820, 19304, 272, 267, 1598, 273, 3418, 825, 585, 1775, 538, 2039, 12759, 10857, 272, 264, 8029, 1038, 952, 561, 272, 5157, 316, 2525, 331, 273, 5157, 316, 6769, 2018, 1267, 815, 1267, 266, 331, 272, 5157, 15947, 1038, 3116, 6769, 2018, 2736, 5897, 825, 2132, 1267, 24653, 3698, 1455, 7093, 25785, 19906, 267, 562, 8029, 825, 2855, 31699, 263, 516, 2091, 25716, 3418, 825, 1820, 19906, 3418, 825, 1820, 263, 21720, 7093, 25785, 25219, 559, 19906, 314, 271, 3910, 2855, 19559, 910, 476, 272, 8079, 3418, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 2855, 815, 22373, 613, 4060, 1721, 613, 4060, 2580, 834, 613, 4060, 2580, 1477, 19930, 834, 613, 2131, 2580, 834, 32607, 10045, 257, 15947, 825, 562, 815, 7003, 19906, 10142, 825, 1455, 7093, 25785, 19906, 267, 562, 10142 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9770, 588, 792, 622, 949, 849, 581, 1031, 585, 16979, 8108, 563, 306, 18754, 853, 792, 622, 21964, 538, 12443, 6856, 454, 1103, 519, 21753, 543, 4393, 540, 2941, 565, 2096, 619, 543, 22169, 267, 9770, 588, 792, 622, 568, 1031, 538, 1082, 2081, 269, 2422, 540, 552, 750, 1035, 787, 17218, 543, 5924, 18861, 1035, 787, 17218, 547, 1118, 2941, 565, 2096, 619, 609, 1970, 7636, 2597, 11903, 326, 1513, 267, 11337, 821, 267, 543, 4568, 538, 14966, 609, 9770, 6070, 6971, 741, 2095, 12402, 543, 2306, 873, 30380, 269, 1473, 1961, 8533, 568, 535, 4310, 609, 606, 5214, 1772, 30662, 622, 547, 3132, 513, 4874, 574, 728, 15074, 269, 634, 3773, 9770, 588, 792, 622, 4679, 519, 735, 4809, 1379, 543, 519, 3021, 1464, 538, 519, 4874, 5930, 16693, 27724, 269, 14640, 3613, 1738, 4874, 26120, 568, 2009, 609, 519, 948, 540, 9770, 588, 792, 622, 269, 898, 666, 849, 4196, 607, 513, 12165, 532, 12146, 585, 4874, 26120, 267, 2802, 22005, 659, 2045, 3679, 543, 1216, 269, 634, 3742, 12146, 568, 9770, 588, 792, 622, 269, 898, 666, 849, 581, 1031, 607, 513, 1875, 14585, 4592, 633, 11689, 16014, 585, 4874, 26120, 602, 814, 513, 2603, 540, 18463, 15895, 269, 3958, 267, 9770, 3613, 792, 622, 666, 581, 1031, 547, 23271, 27857, 538, 22169, 269, 4746, 267, 9770, 588, 792, 622, 666, 581, 1031, 547, 5965, 2890, 1602, 748, 25168, 1886, 22005, 26939, 269, 898, 568, 2009, 547, 3132, 1507, 5666, 540, 4874, 9109, 2643, 14092, 564, 622, 16693, 676, 546, 14563, 9770, 560, 792, 622, 12853, 269, 1452, 5536, 2061, 519, 5250, 543, 2208, 540, 4903, 331, 558, 3130, 269, 1306, 606, 15934, 267, 9770, 560, 792, 622, 568, 849, 513, 2009, 5057, 547, 948, 24644, 4874, 529, 984, 583, 22005, 12547, 779, 3337, 269, 1306, 1875, 3562, 13877, 11689, 9088, 547, 4874, 9109, 2643, 18608, 728, 269, 1306, 513, 4874, 9109, 2643, 17296, 6445, 518, 267, 9770, 588, 792, 622, 4249, 513, 1909, 538, 11689, 1944, 519, 2298, 607, 1134, 607, 5355, 922, 2773, 269, 589, 11689, 6500, 568, 1031, 950, 1818, 1291, 7135, 269, 589, 9087, 3139, 4874, 9109, 2643, 17296, 8869, 666, 581, 5423, 1210, 9770, 588, 792, 622, 269, 898, 568, 1434, 585, 1818, 513, 4874, 9109, 2643, 17296, 900, 13955, 602, 814, 513, 9325, 3259, 540, 476, 271, 269, 272, 1984, 9014, 269, 1677, 2087, 3002, 13021, 1464, 585, 4874, 9109, 2643, 18608, 728, 8546, 9212, 267, 9770, 588, 792, 622, 568, 849, 606, 4781, 269, 1411, 666, 23271, 4874, 9109, 2643, 6101, 607, 1134, 607, 4874, 9109, 2643, 8117, 344, 1537, 538, 513, 13671, 3070, 9770, 588, 792, 622, 269, 1703, 568, 1100, 991, 547, 31358, 519, 12249, 543, 519, 3070, 3085, 1406, 10511, 10028, 269, 1284, 1031, 9770, 588, 792, 622, 585, 900, 6160, 8595, 547, 4983, 519, 737, 27282, 540, 568, 18540, 16801, 1790, 8432, 1067, 1436, 540, 18908, 16867, 543, 4874, 560, 344, 16867, 269, 769, 1931, 547, 1118, 519, 6775, 267, 519, 11100, 540, 9770, 588, 792, 622, 4874, 560, 344, 16867, 729, 16312, 24231, 689, 513, 30979, 269, 8921, 267, 621, 568, 32092, 539, 609, 3905, 4248, 547, 23271, 519, 12853, 21225, 269, 901, 1184, 568, 849, 1031, 585, 519, 2504, 540, 9087, 3139, 5068, 26120, 269, 5637, 1202, 20107, 543, 9770, 3613, 792, 622, 666, 581, 1031, 607, 1875, 1922, 2391, 24470, 547, 5687, 6955, 10415, 269, 4746, 267, 9770, 12853, 666, 581, 1031, 585, 15098, 12001, 7513, 19941, 4904, 619, 610, 607, 6190, 30624, 872, 2763, 593, 27794, 21449, 622, 645, 7473, 312, 305, 2969, 5068, 2472, 269, 1677, 1106, 10053, 4496, 865, 2355, 267, 9770, 3613, 792, 622, 666, 2746, 609, 13058, 543, 7513, 17296, 950, 6404, 609, 2848, 776, 331, 15850, 269, 898, 666, 849, 581, 1031, 547, 24644, 22169, 607, 1134, 607, 513, 19149, 656, 269, 898, 666, 581, 5833, 676, 606, 5571, 1184, 563, 306, 18754, 853, 792, 622, 21964, 538, 11676, 828, 454, 2026, 606, 5351, 538, 519, 13621, 540, 4412, 22005, 267, 1714, 770, 12002, 602, 2270, 3742, 10300, 11077, 610, 16247, 666, 581, 1031, 9770, 588, 792, 622, 269, 2060, 9770, 588, 792, 622, 9117, 607, 18463, 267, 855, 611, 1329, 324, 666, 581, 6404, 609, 568, 641, 16867, 538, 8652, 21666, 30177, 269, 634, 3444, 331, 9722, 8665, 540, 855, 2940, 6299, 1499, 666, 849, 946, 9770, 588, 792, 622, 269, 898, 568, 606, 7755, 340, 2779, 1851, 4550, 2275, 3326, 1707, 22169, 547, 1118, 855, 611, 1329, 324, 3735, 343, 543, 18908, 16867, 269, 6970, 755, 545, 14614, 267, 2059, 609, 513, 3070, 540, 9770, 588, 792, 622, 5627, 13058, 16247, 622, 267, 666, 581, 3773, 607, 606, 7755, 340, 2779, 547, 948, 2061, 519, 4903, 331, 558, 3130, 543, 5250, 540, 519, 568, 984, 583, 22005, 268, 13041, 828, 5536, 269, 1280, 1434, 5305, 3601, 267, 9770, 560, 792, 622, 666, 849, 1031, 585, 519, 7041, 540, 14806, 528, 889, 1499, 269, 1280, 513, 7415, 6454, 538, 12902, 2298, 267, 4874, 18608, 641, 16867, 666, 581, 3773, 547, 519, 7848, 5627, 18300, 12853, 269, 3958, 267, 9770, 588, 792, 622, 949, 581, 1031, 547, 3986, 519, 5175, 4754, 1436, 4874, 18608, 641, 16867, 268, 13041, 828, 269, 769, 1840, 267, 621, 568, 2009, 547, 946, 621, 607, 513, 12001, 5057, 538, 513, 11100, 540, 4874, 6856, 12285, 269, 16473, 532, 16349, 5175, 4754, 1436, 538, 12285, 666, 581, 6913, 609, 9770, 588, 792, 622, 269, 1306, 513, 12165, 656, 540, 3327, 919, 267, 9770, 3613, 792, 622, 666, 581, 1031, 547, 3927, 23271, 9829, 919, 543, 3327, 919, 563, 306, 18754, 853, 792, 622, 21964, 538, 454, 1103, 1931, 547, 3132, 1957, 267, 27794, 26939, 723, 1044, 13148, 21449, 1881, 1210, 513, 7848, 540, 9770, 588, 792, 622, 609, 11956, 17296, 269, 3958, 267, 9770, 560, 792, 622, 6411, 607, 513, 31294, 538, 7041, 540, 519, 6445, 619, 1031, 585, 1957, 14708, 269, 634, 1957, 779, 6418, 10733, 568, 4646, 689, 9770, 1350, 340, 935, 622, 267, 9770, 6070, 588, 792, 622, 267, 543, 9770, 22965, 517, 622, 269, 15742, 20566, 543, 9770, 20566, 7135, 941, 11567, 538, 1931, 547, 3986, 519, 20566, 1543, 540, 1978, 1957, 7306, 563, 306, 18754, 853, 792, 622, 21964, 538, 454, 306, 18754, 588, 792, 622, 267, 1927, 609, 4874, 26120, 28340, 267, 15279, 600, 14007, 523, 564, 564, 1090, 710, 267, 543, 8715, 12935, 267, 666, 581, 1031, 607, 513, 4396, 4492, 547, 2087, 1166, 2459, 1464, 543, 13674, 543, 547, 723, 1100, 3983, 17627, 950, 14616, 269, 1411, 666, 1118, 4492, 689, 9770, 588, 792, 622, 630, 3000, 334, 996, 12935, 8533, 1070, 3288, 1722, 331, 7242, 659, 787, 17218, 267, 8715, 12935, 267, 610, 1022, 4999, 23476, 269, 901, 666, 849, 581, 1031, 547, 3132, 5214, 5277, 15074, 520, 1149, 585, 8484, 10173, 267, 547, 6175, 519, 8594, 540, 3595, 269, 1306, 513, 12165, 656, 547, 25694, 8406, 28355, 7080, 5014, 267, 9770, 588, 792, 622, 949, 849, 581, 1031, 607, 606, 19605, 538, 4492, 11041, 563, 306, 18754, 853, 792, 622, 21964, 538, 19371, 454, 10908, 817, 8710, 31383, 23541, 666, 581, 2813, 609, 9770, 588, 792, 622, 543, 8715, 659, 23359, 18729, 12443, 1067, 9770, 6070, 269, 1358, 616, 2966, 547, 1832, 519, 4837, 7583, 2280, 19872, 585, 693, 2547, 835, 610, 1079, 2395, 269, 1280, 519, 8990, 540, 9357, 9830, 4837, 22809, 666, 581, 5423, 609, 9770, 588, 792, 622, 563, 306, 18754, 853, 792, 622, 21964, 538, 4563, 769, 330, 454, 763, 2504, 540, 6366, 2173, 13926, 8228, 10824, 666, 581, 1500, 609, 9770, 588, 792, 622, 269, 1677, 4894, 28969, 13504, 267, 9770, 6070, 568, 6404, 609, 513, 588, 559, 321, 2940, 563, 306, 18754, 853, 792, 622, 21964, 538, 2717, 5109, 8116, 454, 3891, 908, 9770, 588, 792, 622, 609, 16013, 14007, 5498, 322, 2389, 20183, 1097, 331, 8392, 334, 5139, 12541, 666, 3489, 513, 14589, 344, 1587, 602, 666, 581, 1031, 538, 513, 14589, 900, 13955, 543, 814, 513, 13621, 1448, 540, 476, 8287, 268, 5038, 11019, 290, 269, 31406, 588, 792, 622, 666, 849, 581, 1031, 538, 5884, 2275, 770, 13058, 27120, 547, 3132, 17953, 563, 1607, 568, 519, 18463, 585, 519, 5114, 540, 7814, 641, 550, 2940, 547, 1118, 579, 16699, 269, 13242, 607, 606, 900, 6160, 8595, 1282, 519, 3905, 1216, 22729, 540, 16948, 28104, 641, 1886, 2643, 335, 1156, 565, 630, 325, 520, 1399, 3679, 16693, 264, 4746, 267, 9770, 588, 792, 622, 949, 581, 1031, 1282, 29404, 547, 2061, 519, 10081, 268, 2135, 9179, 610, 30423, 22714, 269, 1280, 519, 4396, 2305, 543, 4859, 540, 9901, 8869, 12074, 267, 9770, 3613, 792, 622, 1058, 581, 5916, 609, 4874, 560, 344, 16867, 1310, 3653, 1651, 514, 3130, 269, 1306, 606, 7755, 9417, 547, 8709, 18123, 6954, 267, 8709, 18123, 6954, 25543, 18608, 728, 2504, 267, 9770, 588, 792, 622, 568, 1031, 547, 24644, 855, 344, 1537, 24957, 563, 299, 340, 1195, 836, 2558, 18365, 8457, 15306, 3213, 1421, 13456, 1421, 849, 1634, 607, 13138, 7419, 2793, 17472, 267, 568, 513, 3810, 9952, 10672, 540, 31406, 3733, 2077, 622, 269, 898, 814, 811, 982, 12964, 1296, 540, 1995, 538, 519, 2361, 269, 1411, 666, 3346, 721, 585, 1164, 2298, 31406, 7069, 2077, 622, 269, 0, 8340, 20855, 10202, 676, 8939, 922, 18119, 2630, 563, 272, 476, 273, 476, 274, 454, 280, 476, 1015, 476, 1556, 476, 1321, 476, 1724, 476, 1691, 476, 1704, 454, 30547, 540, 476, 7430, 499, 7430, 352, 7430, 499, 7430, 357, 538, 5545, 454, 14300, 540, 2073, 476, 7430, 499, 7430, 352, 7430, 499, 7430, 357, 538, 513, 4845, 454, 10673, 1405, 1175, 1796, 972, 899, 513, 26686, 267, 1376, 2921, 4967, 2336, 5591, 8969, 267, 7488, 540, 519, 942, 267, 1352, 729, 4058, 547, 979, 547, 519, 2121, 22538, 2946, 1510, 803, 952, 594, 22821, 1405, 8452, 1101, 563, 9617, 2628, 909, 2907, 267, 594, 6415, 6031, 269, 834, 21652, 936, 519, 2724, 267, 962, 334, 30882, 5445, 15985, 1194, 1055, 538, 10845, 563, 296, 1544, 547, 16253, 547, 1010, 4484, 1318, 2476, 563, 7069, 9632, 7015, 8737, 1010, 6780, 1360, 3533, 563, 24375, 707, 17676, 476, 278, 28233, 570, 6020, 3201, 609, 1022, 540, 938, 476, 274, 20478, 4566, 9359, 707, 1863, 476, 278, 6377, 4693, 1631, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 763, 9735, 12449, 538, 3756, 1631, 941, 711, 972, 693, 519, 4098, 269, 898, 779, 1187, 547, 1397, 3214, 602, 621, 782, 3323, 609, 513, 1906, 1025, 2354, 269, 2334, 621, 3576, 1296, 543, 811, 1646, 547, 1205, 547, 519, 4190, 12449, 540, 899, 513, 631, 9222, 918, 691, 610, 674, 9281, 288, 2336, 1432, 798, 596, 1589, 666, 1762, 3988, 1491, 2476, 689, 2542, 827, 25453, 13391, 518, 779, 1272, 543, 10781, 888, 296, 1131, 4126, 3214, 1491, 2476, 513, 2370, 1620, 540, 1018, 31132, 616, 899, 281, 789, 1413, 693, 1919, 543, 1616, 547, 1118, 873, 1732, 269, 1548, 513, 1390, 1935, 547, 1272, 256, 1656, 594, 4126, 3214, 1205, 9599, 827, 1018, 5990, 312, 666, 798, 267, 1018, 1390, 1158, 19145, 8798, 5990, 312, 666, 2097, 909, 609, 563, 4517, 602, 621, 3217, 18094, 543, 16177, 547, 1118, 1919, 4755, 538, 1272, 269, 25453, 13391, 518, 5249, 1296, 547, 13217, 1010, 2856, 269, 1656, 646, 4862, 513, 2898, 2603, 540, 968, 5591, 17373, 1354, 646, 6368, 4862, 513, 968, 8133, 892, 689, 13804, 822, 2135, 547, 1020, 1010, 11080, 1062, 563, 3719, 849, 267, 19480, 2476, 689, 519, 13241, 2460, 540, 519, 1433, 267, 594, 4126, 1762, 3988, 1413, 693, 25453, 13391, 518, 779, 1272, 2833, 543, 1020, 513, 2631, 540, 6568, 269, 2334, 779, 519, 1034, 1271, 2601, 649, 1224, 543, 2671, 2984, 23121, 7148, 883, 938, 1455, 8103, 563, 2080, 729, 513, 7911, 945, 729, 9505, 856, 540, 1153, 543, 3346, 609, 1010, 2828, 1317, 540, 13303, 23998, 269, 5808, 729, 7142, 547, 25176, 585, 1010, 1272, 267, 945, 4718, 1920, 829, 880, 269, 594, 4126, 950, 1762, 3988, 5873, 827, 15076, 538, 2221, 779, 3377, 267, 789, 666, 1589, 827, 25453, 13391, 518, 779, 1650, 543, 1745, 1945, 20196, 513, 21345, 568, 513, 1480, 1373, 269, 0, 29020, 281, 4014, 519, 4064, 19582, 476, 271, 269, 272, 260, 540, 519, 2698, 1560, 2627, 267, 3750, 7063, 616, 3978, 1317, 5075, 568, 24903, 519, 1034, 1271, 2631, 269, 1284, 6322, 547, 2708, 1702, 540, 18142, 26768, 7264, 3823, 3268, 547, 581, 3144, 538, 2665, 540, 3114, 3750, 5945, 267, 538, 1931, 547, 3895, 4656, 540, 971, 5773, 563, 24342, 281, 589, 3444, 22891, 1374, 729, 2944, 269, 589, 4351, 10386, 1505, 729, 8246, 547, 2824, 476, 31229, 2043, 538, 519, 18142, 2146, 269, 19893, 6192, 606, 5907, 6806, 8694, 267, 24019, 267, 20822, 267, 1582, 14194, 3439, 1229, 18102, 269, 5565, 4966, 12290, 1543, 543, 3068, 14496, 269, 29594, 757, 941, 476, 1240, 1700, 3066, 1296, 540, 2085, 269, 476, 10619, 630, 279, 269, 274, 8472, 1185, 513, 1686, 540, 3114, 3750, 5945, 269, 3204, 8973, 519, 1101, 1900, 3144, 538, 2013, 540, 3114, 3750, 5945, 267, 476, 7597, 278, 630, 4281, 269, 276, 8472, 17013, 8612, 11067, 609, 1216, 267, 476, 13932, 630, 1240, 269, 276, 8472, 8612, 9683, 519, 6595, 8257, 267, 476, 1556, 630, 272, 269, 273, 8472, 8612, 1210, 3750, 12772, 267, 543, 476, 276, 630, 271, 269, 277, 8472, 8612, 8720, 519, 3750, 5612, 269, 1530, 1203, 344, 19317, 630, 279, 269, 275, 8472, 17013, 8815, 602, 606, 3750, 13676, 609, 606, 15755, 1570, 1058, 581, 18233, 609, 606, 22279, 3070, 269, 1452, 2164, 1058, 581, 9672, 676, 1072, 8128, 543, 3617, 7459, 1058, 581, 2919, 585, 5355, 1702, 1851, 13999, 267, 7551, 5009, 513, 8902, 2486, 269, 27511, 281, 16685, 3441, 267, 18142, 17936, 267, 30997, 3268, 267, 22279, 267, 15755, 0, 13233, 5211, 11162, 1575, 4303, 454, 13233, 5211, 11162, 1575, 4303, 568, 4767, 1985, 593, 14349, 267, 2904, 476, 736, 628, 267, 476, 1708, 274, 630, 23211, 2395, 689, 2221, 1916, 763, 2817, 5211, 11162, 1575, 4303, 729, 3323, 538, 476, 1960, 273, 676, 3013, 4934, 13073, 267, 513, 3084, 7681, 540, 813, 28328, 543, 10274, 267, 543, 1977, 23117, 267, 513, 3345, 1977, 5726, 3919, 267, 607, 513, 1259, 547, 4217, 2199, 2950, 538, 5329, 1832, 741, 8933, 267, 30520, 543, 24528, 2973, 563, 13233, 5211, 11162, 1575, 4303, 11242, 912, 268, 18548, 4302, 7991, 11162, 1575, 693, 6239, 22971, 15167, 281, 11162, 1575, 2238, 585, 782, 6502, 538, 519, 18137, 2059, 6239, 22971, 15167, 563, 268, 5029, 1125, 2659, 13574, 18548, 4302, 11162, 1575, 281, 1684, 596, 723, 513, 5172, 536, 657, 4302, 1858, 286, 6333, 16475, 707, 1378, 5211, 11162, 1575, 8400, 256, 634, 7046, 28805, 4972, 786, 1683, 20203, 11435, 543, 26565, 540, 519, 6394, 3653, 563, 268, 11162, 909, 519, 5757, 609, 707, 1378, 31614, 752, 267, 666, 4141, 610, 986, 1111, 281, 5438, 27624, 10935, 619, 666, 1129, 909, 547, 2312, 519, 5757, 609, 707, 1378, 986, 1111, 267, 31614, 752, 610, 666, 4141, 269, 1411, 1590, 1683, 707, 1378, 6283, 543, 19132, 585, 707, 10935, 269, 634, 7046, 6611, 4972, 786, 1683, 596, 609, 17885, 11435, 543, 786, 1184, 519, 6394, 17885, 269, 4746, 267, 581, 3222, 602, 1317, 5757, 8928, 616, 29099, 1970, 713, 5614, 267, 1743, 14823, 666, 581, 513, 4161, 563, 268, 2372, 2884, 4826, 623, 5417, 1782, 1418, 3278, 5211, 11162, 1575, 585, 4810, 10935, 619, 563, 25332, 5703, 13233, 5211, 11162, 1575, 4303, 814, 1044, 4767, 519, 3791, 14349, 538, 2904, 563, 306, 12944, 267, 2904, 476, 1428, 628, 267, 476, 1708, 272, 454, 306, 12944, 267, 2904, 476, 2641, 560, 267, 476, 1708, 273, 454, 306, 12944, 267, 2904, 476, 736, 628, 267, 476, 1708, 274, 454, 306, 12944, 267, 2904, 476, 1240, 628, 267, 476, 1708, 275, 454, 306, 12944, 267, 2904, 476, 1704, 628, 267, 476, 1708, 276, 0, 19894, 7215, 616, 1257, 12673, 4646, 538, 513, 1880, 16105, 602, 568, 1031, 538, 1585, 2645, 543, 5752, 4654, 585, 10478, 1257, 3270, 1369, 1257, 563, 302, 24810, 2985, 585, 1433, 676, 11518, 9445, 17054, 331, 3370, 676, 744, 262, 3725, 11035, 269, 22291, 3349, 540, 9115, 267, 4994, 543, 3009, 563, 299, 3869, 540, 3593, 28175, 4784, 7215, 269, 22291, 512, 6856, 543, 2200, 563, 15697, 556, 613, 343, 1576, 269, 17972, 811, 982, 4557, 7317, 4245, 267, 607, 1134, 607, 4052, 1806, 563, 4467, 11772, 633, 4199, 609, 513, 1445, 593, 519, 556, 613, 343, 2934, 6462, 676, 1234, 613, 343, 289, 28854, 269, 17972, 5850, 267, 8137, 6476, 267, 2835, 267, 2645, 2854, 676, 519, 2278, 563, 4467, 11772, 633, 4199, 8720, 2596, 547, 4359, 3096, 540, 2834, 7215, 269, 17972, 556, 613, 343, 5850, 267, 2645, 267, 2835, 543, 15361, 563, 12552, 547, 667, 19616, 313, 267, 799, 3710, 513, 1390, 1357, 15682, 585, 5176, 1079, 5756, 543, 11884, 3838, 621, 609, 519, 1357, 269, 6168, 721, 0, 16391, 9318, 12856, 281, 3367, 543, 2626, 17564, 5999, 1948, 275, 543, 476, 276, 593, 2985, 476, 16960, 269, 3629, 1806, 689, 707, 1378, 2833, 610, 1382, 269, 29358, 476, 273, 3817, 267, 5595, 22274, 543, 538, 14905, 14474, 23087, 1805, 820, 14516, 3853, 543, 6859, 666, 581, 6913, 1152, 950, 10721, 1983, 543, 7207, 616, 6417, 998, 10721, 2497, 269, 634, 2238, 540, 10721, 2818, 1131, 581, 26093, 1510, 513, 2497, 602, 3651, 338, 1004, 547, 5107, 543, 1463, 338, 519, 2238, 540, 1004, 543, 3252, 269, 2412, 901, 3184, 814, 8947, 875, 3906, 1058, 1374, 741, 15796, 540, 6392, 543, 3442, 1852, 1949, 602, 1711, 606, 2500, 10721, 2497, 269, 634, 3337, 540, 519, 15796, 11887, 875, 3375, 1818, 3217, 1747, 269, 898, 849, 11887, 875, 12592, 1004, 786, 581, 547, 11654, 10721, 3853, 269, 27588, 519, 15796, 1058, 581, 835, 540, 2359, 779, 2101, 4247, 267, 855, 267, 607, 649, 723, 2938, 267, 621, 568, 513, 4305, 602, 1082, 3906, 798, 711, 798, 1134, 610, 3111, 547, 2015, 693, 782, 269, 3848, 476, 276, 814, 1500, 519, 1739, 1292, 2798, 17041, 763, 4463, 540, 606, 3919, 779, 2497, 568, 513, 1599, 540, 519, 1297, 540, 2157, 538, 519, 15796, 267, 519, 12732, 540, 1852, 693, 1142, 1377, 267, 543, 519, 3666, 1063, 3844, 1436, 543, 15139, 1436, 540, 6392, 30818, 2026, 606, 3919, 9428, 267, 519, 2333, 538, 519, 2450, 540, 519, 31707, 5057, 568, 1447, 982, 14354, 547, 519, 2333, 538, 519, 2450, 540, 519, 3919, 30818, 3682, 21793, 609, 7381, 25327, 1331, 2792, 267, 8404, 267, 543, 17531, 29386, 3790, 30818, 6097, 547, 519, 6240, 540, 5934, 5832, 540, 4971, 267, 606, 3919, 1058, 3442, 519, 5934, 1297, 540, 21712, 2157, 5812, 609, 519, 20314, 4293, 621, 8188, 30818, 763, 12732, 540, 1852, 568, 519, 1297, 540, 1016, 24002, 513, 9614, 2047, 21314, 269, 634, 1079, 1292, 2188, 602, 1860, 519, 12732, 540, 1852, 616, 4305, 6988, 543, 4305, 954, 22366, 1145, 30818, 763, 3337, 540, 519, 15796, 543, 519, 1259, 621, 1568, 616, 849, 4299, 676, 5079, 7282, 8880, 15285, 267, 3844, 1436, 8957, 15139, 1436, 267, 15285, 8957, 5610, 267, 32301, 8957, 8994, 16369, 267, 543, 519, 3310, 540, 519, 13016, 3919, 30818, 763, 3670, 3741, 540, 17531, 29386, 3069, 14574, 519, 1034, 2500, 1259, 547, 1374, 519, 15796, 540, 6392, 538, 606, 3919, 30818, 289, 9531, 322, 6483, 814, 1896, 5383, 269, 898, 568, 4023, 543, 12581, 267, 543, 621, 666, 3895, 10721, 7145, 676, 5355, 10721, 1374, 269, 1717, 267, 2042, 666, 8451, 952, 17531, 29386, 3741, 616, 711, 4553, 543, 952, 9946, 1450, 519, 3919, 547, 1831, 1932, 7381, 543, 21438, 30818, 10048, 6162, 991, 547, 5431, 875, 519, 13016, 3919, 5540, 519, 1259, 519, 6101, 15796, 540, 6392, 1568, 543, 1118, 2386, 519, 1079, 3514, 547, 3986, 10721, 2773, 30818, 2414, 1832, 741, 3906, 607, 6366, 607, 2009, 267, 9946, 616, 5051, 1818, 946, 540, 8668, 543, 2870, 1582, 17907, 3042, 960, 6887, 540, 23518, 4600, 543, 5924, 7432, 547, 20314, 550, 4600, 269, 26524, 281, 476, 275, 269, 1215, 666, 519, 3741, 540, 29904, 6483, 948, 9946, 1374, 519, 10721, 15796, 286, 476, 276, 269, 1879, 1281, 29904, 6483, 1831, 513, 1966, 538, 606, 3919, 286, 1548, 666, 812, 268, 989, 619, 798, 547, 2061, 17531, 29386, 2042, 689, 16109, 888, 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, 0, 16391, 1944, 2659, 4132, 2060, 681, 1107, 13832, 1280, 1627, 4804, 454, 7197, 3237, 3858, 602, 513, 1126, 779, 2038, 6689, 6128, 6044, 568, 811, 1271, 982, 741, 2663, 5756, 267, 2899, 789, 616, 11361, 269, 901, 568, 519, 2013, 1317, 538, 2596, 1153, 267, 519, 1034, 1271, 851, 540, 1565, 6128, 568, 3384, 513, 2596, 8223, 540, 519, 18765, 269, 12234, 621, 568, 2629, 547, 1205, 513, 1126, 547, 1711, 5140, 6208, 269, 901, 666, 948, 873, 3035, 1967, 1053, 593, 269, 32546, 2161, 602, 2979, 5759, 616, 14475, 1282, 519, 2038, 6689, 1296, 269, 2368, 2161, 602, 789, 616, 4646, 538, 519, 27042, 269, 1717, 267, 713, 3112, 581, 7152, 269, 1548, 568, 1634, 585, 2386, 568, 602, 519, 1126, 666, 711, 1451, 678, 6185, 1005, 519, 1101, 1974, 2025, 267, 513, 1126, 786, 1020, 7411, 1983, 602, 616, 2596, 269, 1452, 1331, 519, 4390, 547, 8415, 2645, 543, 1711, 9273, 269, 1635, 519, 1439, 540, 2596, 1153, 267, 891, 2979, 1983, 786, 581, 2111, 547, 2312, 909, 1256, 519, 1034, 1950, 2979, 7965, 269, 4569, 1983, 949, 4179, 2517, 22967, 16261, 902, 16291, 21623, 2593, 11305, 2396, 2914 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 581, 538, 519, 2565, 1416, 2127, 563, 1432, 568, 519, 2262, 585, 2840, 2251, 888, 763, 957, 540, 4758, 4332, 269, 27638, 269, 6765, 269, 851, 584, 819, 563, 1432, 568, 513, 6989, 12016, 1572, 888, 16498, 11314, 269, 12502, 525, 616, 2838, 547, 581, 593, 741, 3952, 585, 6905, 5712, 540, 942, 543, 1685, 513, 3099, 540, 6009, 602, 2154, 2168, 4674, 269, 1452, 1331, 17666, 543, 15198, 2550, 267, 6972, 2429, 519, 6413, 547, 7390, 547, 519, 2115, 540, 741, 2550, 543, 19755, 936, 547, 1685, 4247, 563, 1432, 568, 4758, 4332, 547, 513, 1126, 1572, 888, 19689, 267, 849, 1572, 27638, 610, 851, 584, 819, 267, 1184, 540, 8744, 8521, 513, 1126, 689, 519, 19786, 267, 610, 27042, 563, 1692, 798, 596, 2161, 596, 723, 513, 4816, 888, 268, 4758, 4332, 269, 0, 13640, 21966, 1355, 6677, 1511, 2992, 528, 585, 3002, 543, 3280, 6901, 269, 1703, 568, 513, 524, 2084, 585, 2959, 540, 3002, 610, 3615, 547, 581, 12699, 593, 519, 1445, 540, 519, 11604, 269, 14597, 1079, 19141, 899, 602, 616, 5116, 930, 7397, 6306, 267, 6849, 1142, 824, 267, 543, 609, 741, 17887, 538, 519, 1482, 2786, 1899, 269, 769, 519, 1445, 540, 835, 11604, 568, 5116, 513, 1166, 30100, 6219, 543, 538, 519, 1445, 540, 519, 824, 513, 1507, 19460, 269, 634, 1166, 30100, 6219, 786, 581, 1305, 593, 3595, 269, 0, 310, 23808, 5058, 307, 2177, 267, 9823, 1107, 21708, 342, 520, 7129, 538, 7187, 9098, 543, 519, 10588, 540, 12052, 1223, 1205, 513, 2070, 540, 519, 8832, 28691, 14349, 3781, 607, 519, 2817, 7909, 545, 543, 27321, 10029, 9783, 513, 2520, 558, 8568, 7088, 4585, 585, 14349, 267, 15663, 602, 519, 8832, 28691, 1223, 581, 7298, 607, 2484, 5045, 607, 3345, 10491, 4586, 763, 7088, 568, 9286, 607, 513, 968, 294, 274, 892, 610, 968, 17641, 892, 593, 519, 6611, 16661, 20530, 2109, 4741, 779, 2947, 15304, 4336, 267, 543, 538, 519, 2250, 267, 7187, 8279, 723, 1044, 2938, 607, 1970, 607, 13325, 543, 14822, 609, 513, 7088, 540, 602, 9588, 563, 17472, 8150, 6941, 602, 519, 7088, 339, 549, 6016, 729, 9783, 538, 3210, 547, 513, 1351, 4689, 2527, 552, 20287, 593, 13628, 267, 799, 519, 8116, 3081, 968, 732, 1804, 1163, 6160, 687, 540, 11919, 543, 6419, 4610, 689, 519, 6129, 779, 1351, 7431, 3034, 763, 4365, 9472, 538, 22768, 8862, 5801, 267, 9823, 267, 519, 3148, 7125, 585, 6140, 31063, 22839, 14349, 3781, 267, 519, 2817, 16661, 6796, 1767, 563, 23409, 5533, 666, 1118, 519, 8832, 28691, 2352, 547, 5544, 267, 543, 519, 1655, 914, 547, 1294, 568, 547, 1205, 2476, 689, 519, 2749, 547, 513, 1747, 609, 796, 984, 560, 1192, 539, 5784, 540, 519, 7187, 16880, 563, 288, 30857, 22557, 2006, 5143, 623, 2255, 602, 519, 7088, 568, 4397, 547, 1376, 1282, 519, 1554, 543, 952, 621, 5170, 267, 621, 786, 581, 7298, 693, 3781, 269, 634, 1655, 4960, 540, 7487, 519, 8832, 28691, 786, 581, 689, 14349, 547, 10732, 267, 519, 22557, 2006, 1767, 563, 763, 6611, 16661, 20530, 2109, 4741, 814, 513, 4052, 7778, 540, 519, 2175, 2877, 538, 513, 1880, 1747, 547, 2965, 1294, 519, 8832, 28691, 269, 13689, 593, 513, 21951, 779, 6419, 20173, 267, 519, 2520, 558, 8568, 2534, 936, 513, 1614, 16923, 1974, 1107, 6027, 593, 513, 4336, 689, 476, 271, 268, 280, 1107, 1590, 3914, 513, 1978, 12939, 585, 621, 547, 581, 7298, 563, 763, 12605, 4099, 3081, 602, 835, 1058, 3442, 513, 2749, 14191, 547, 519, 21951, 543, 4063, 922, 6419, 20173, 269, 9122, 593, 519, 20173, 267, 519, 4099, 3081, 602, 835, 1058, 2638, 713, 4786, 547, 1294, 875, 1164, 519, 2520, 558, 8568, 2534, 630, 298, 335, 264, 1058, 581, 563, 2690, 1383, 267, 519, 6419, 20173, 540, 519, 2749, 568, 14191, 547, 22768, 6115, 267, 9823, 630, 280, 1040, 918, 335, 1590, 581, 693, 2547, 476, 278, 585, 519, 7187, 8279, 547, 581, 2938, 865, 1970, 269, 2311, 1459, 267, 30857, 26770, 513, 918, 335, 540, 1063, 476, 278, 543, 476, 280, 14349, 3781, 267, 799, 1058, 581, 2614, 585, 15287, 269, 6611, 8387, 2161, 13588, 1058, 2638, 519, 918, 335, 2534, 1354, 2469, 856, 563, 4913, 267, 519, 6611, 16661, 20530, 2109, 4741, 29808, 602, 519, 6607, 1590, 849, 581, 15028, 1510, 13779, 689, 519, 7599, 610, 2749, 8279, 563, 299, 1075, 553, 10395, 657, 8329, 8989, 543, 1603, 547, 713, 1867, 269, 0, 22129, 3408, 267, 3781, 6607, 8711, 585, 476, 1708, 273, 454, 763, 1032, 476, 1708, 272, 814, 6157, 1044, 606, 3078, 1032, 585, 2230, 3408, 563, 22498, 779, 9370, 16709, 681, 1478, 267, 3131, 14651, 267, 15354, 593, 519, 2627, 540, 9370, 593, 5988, 476, 1240, 543, 6394, 922, 1101, 3732, 547, 2132, 547, 3047, 269, 769, 2102, 8462, 267, 519, 2370, 29357, 602, 554, 3558, 327, 27419, 609, 3131, 14651, 267, 814, 2095, 333, 476, 1240, 2053, 936, 9370, 269, 8331, 6611, 311, 595, 4319, 476, 273, 9250, 267, 6170, 942, 693, 519, 4139, 6611, 13749, 267, 543, 8120, 547, 3047, 269, 595, 4319, 476, 274, 729, 9250, 543, 8452, 693, 519, 32199, 269, 634, 1034, 3078, 2680, 786, 581, 519, 10131, 540, 519, 26566, 6230, 269, 525, 30197, 6611, 23571, 593, 5412, 476, 2190, 267, 536, 18732, 824, 17799, 610, 2152, 563, 5978, 476, 1708, 272, 18477, 8711, 3769, 513, 9864, 3859, 24256, 693, 3141, 23438, 538, 4873, 267, 606, 3592, 2698, 16264, 24256, 538, 5437, 267, 543, 519, 20498, 4715, 12386, 540, 519, 4541, 538, 519, 10543, 6607, 267, 10023, 19026, 267, 21275, 543, 18347, 2336, 11947, 7547, 540, 2230, 3408, 585, 476, 1708, 273, 454, 763, 26566, 6230, 269, 525, 30197, 2230, 16263, 786, 12446, 693, 20698, 9792, 476, 273, 267, 513, 1448, 540, 14965, 11466, 267, 693, 519, 1439, 540, 5130, 269, 4438, 519, 11878, 267, 782, 476, 1240, 11604, 12415, 786, 1930, 269, 1284, 616, 24584, 519, 1101, 3239, 713, 4832, 563, 22498, 779, 3203, 28087, 476, 272, 10131, 568, 16516, 585, 5988, 476, 1321, 269, 898, 568, 606, 30313, 2740, 8184, 2966, 547, 1449, 519, 2230, 10131, 1062, 267, 8331, 779, 3532, 1007, 15177, 267, 543, 519, 2107, 542, 14361, 269, 634, 5692, 540, 519, 3203, 28087, 1982, 269, 568, 547, 2244, 20691, 593, 519, 9855, 267, 1519, 519, 1101, 4807, 543, 519, 1101, 1268, 540, 2681, 267, 676, 476, 1708, 276, 563, 2171, 616, 14120, 519, 476, 2568, 628, 16683, 540, 3627, 3794, 3317, 779, 1101, 3047, 10739, 593, 5988, 476, 736, 269, 3794, 3317, 267, 835, 540, 22358, 779, 20691, 267, 4963, 743, 539, 519, 3618, 1614, 2053, 538, 2947, 3108, 267, 20829, 14886, 1222, 476, 278, 563, 22498, 6611, 311, 595, 4319, 476, 274, 7024, 693, 519, 1439, 540, 4989, 689, 519, 4139, 6611, 13749, 269, 595, 4319, 476, 275, 786, 10131, 593, 4989, 476, 1428, 543, 595, 4319, 476, 276, 786, 10131, 538, 5181, 563, 297, 10000, 3438, 15096, 344, 24262, 25817, 1107, 610, 808, 308, 21201, 1107, 786, 10131, 538, 4873, 476, 1708, 273, 543, 12446, 538, 519, 18347, 1062, 538, 476, 1708, 280, 269, 808, 308, 21201, 568, 2966, 547, 1353, 1614, 13792, 24262, 540, 18347, 281, 717, 1415, 4364, 324, 267, 11910, 626, 334, 267, 2342, 269, 3962, 540, 891, 24262, 568, 2808, 5732, 3110, 3386, 563, 291, 11286, 1107, 610, 17677, 589, 3122, 1355, 4414, 3925, 4530, 1107, 786, 1764, 922, 3077, 20503, 267, 9894, 2096, 657, 645, 267, 538, 5181, 269, 8331, 13922, 519, 1463, 1764, 786, 3500, 519, 20503, 779, 10739, 563, 2171, 616, 14120, 519, 476, 2004, 628, 16683, 540, 519, 2063, 21011, 5692, 689, 5412, 476, 278, 547, 476, 866, 267, 799, 729, 21011, 476, 1704, 269, 21011, 476, 1704, 13264, 1082, 5638, 282, 519, 13074, 5692, 267, 519, 13074, 2230, 19769, 267, 519, 13074, 16264, 13941, 267, 543, 519, 4102, 16264, 3732, 8120, 547, 3047, 563, 301, 697, 6607, 8711, 585, 476, 1708, 273, 912, 21938, 476, 280, 1107, 19026, 693, 519, 6574, 9588, 267, 910, 275, 269, 277, 267, 538, 519, 840, 1673, 11921, 6607, 563, 19688, 476, 279, 1107, 5565, 1296, 1354, 519, 2698, 3859, 24256, 563, 19688, 476, 1789, 1107, 19026, 10596, 476, 271, 269, 273, 5232, 5045, 540, 18347, 538, 519, 840, 1673, 11921, 6607, 563, 9802, 476, 278, 1107, 2817, 18395, 4303, 563, 9802, 476, 1428, 268, 1626, 1107, 11192, 16264, 24256, 267, 6238, 693, 476, 1015, 281, 2767, 533, 6230, 1421, 5021, 693, 476, 1321, 281, 1556, 513, 6230, 269, 543, 7475, 693, 476, 272, 281, 4649, 513, 6230, 563, 20809, 476, 1724, 1107, 8111, 7599, 269, 634, 14191, 2407, 7599, 547, 519, 1032, 563, 21776, 476, 279, 1107, 11192, 16264, 24256, 269, 634, 9864, 24256, 5956, 693, 476, 275, 281, 6021, 513, 6230, 1421, 5021, 693, 476, 276, 281, 6795, 513, 6230, 269, 543, 24262, 564, 693, 476, 277, 281, 6078, 513, 6230, 563, 301, 697, 6607, 585, 23891, 4231, 454, 763, 10785, 543, 519, 7599, 454, 763, 1007, 1032, 5956, 609, 513, 20498, 12972, 540, 10785, 282, 18347, 267, 21275, 267, 19026, 543, 22358, 269, 634, 2185, 1292, 10785, 12701, 513, 2698, 540, 476, 2412, 5232, 547, 519, 22236, 269, 634, 524, 29266, 7599, 23929, 538, 4395, 540, 519, 1899, 540, 10785, 585, 513, 1906, 17334, 538, 2038, 5130, 269, 634, 546, 9579, 1782, 19026, 5036, 827, 606, 5662, 1310, 23863, 543, 31438, 693, 513, 9588, 540, 910, 275, 269, 273, 269, 19026, 786, 14897, 689, 8289, 1310, 519, 1101, 1906, 2395, 540, 519, 3923, 269, 19026, 786, 3914, 513, 2539, 14966, 593, 5130, 476, 279, 269, 19026, 31272, 8986, 538, 519, 6640, 6607, 1472, 519, 1647, 540, 519, 3923, 267, 8375, 538, 519, 7532, 827, 606, 5662, 1354, 3141, 23438, 267, 26124, 693, 513, 9588, 540, 910, 275, 269, 274, 269, 6250, 2225, 786, 2087, 543, 19026, 786, 1796, 476, 1321, 5232, 1657, 519, 2666, 1354, 3141, 23438, 593, 5130, 476, 4029, 269, 22358, 5170, 547, 10841, 754, 2362, 538, 519, 6607, 543, 568, 4092, 5594, 1657, 543, 547, 519, 2451, 540, 19026, 593, 5130, 476, 272, 269, 19026, 543, 22358, 786, 23396, 4025, 1101, 269, 3018, 540, 23891, 4231, 269, 634, 524, 29266, 7599, 15942, 2282, 19026, 543, 22358, 593, 5130, 476, 274, 267, 543, 22358, 10301, 922, 5207, 9456, 2460, 5223, 593, 5130, 476, 278, 269, 1306, 22358, 14380, 538, 519, 6607, 267, 21275, 19380, 15820, 543, 519, 6292, 616, 14191, 267, 476, 274, 269, 275, 5232, 6306, 267, 593, 519, 10543, 540, 5130, 476, 1321, 269, 910, 1724, 269, 769, 519, 1647, 540, 519, 3923, 267, 22358, 535, 3547, 543, 10301, 513, 2539, 14966, 593, 5130, 476, 2537, 269, 898, 7024, 547, 519, 6640, 6607, 519, 1101, 3018, 540, 5988, 269, 21275, 7106, 8986, 689, 2070, 519, 2063, 3018, 540, 5130, 269, 2201, 5130, 476, 275, 267, 519, 524, 29266, 7599, 543, 21275, 616, 1152, 476, 276, 5232, 6306, 267, 2427, 676, 2427, 269, 18347, 3788, 7298, 2429, 519, 3923, 543, 568, 4092, 476, 276, 5232, 5087, 540, 519, 524, 29266, 7599, 593, 5130, 476, 276, 269, 2201, 5130, 476, 1321, 267, 649, 723, 513, 5595, 18302, 540, 1079, 24262, 540, 519, 22191, 517, 267, 717, 1415, 4364, 324, 543, 11910, 626, 334, 269, 11910, 626, 334, 779, 18302, 6238, 693, 476, 276, 281, 2420, 533, 6230, 1421, 4553, 676, 717, 1415, 4364, 324, 693, 476, 277, 281, 2004, 533, 6230, 269, 3026, 31337, 31438, 693, 513, 9588, 540, 476, 278, 269, 279, 543, 568, 4092, 538, 13985, 23581, 269, 3026, 31337, 568, 4092, 476, 274, 269, 274, 5232, 22583, 540, 519, 5182, 1912, 328, 13985, 926, 328, 269, 2201, 5130, 476, 277, 267, 3026, 31337, 568, 476, 279, 5232, 22070, 540, 519, 524, 29266, 7599, 543, 476, 275, 5232, 5045, 593, 5130, 476, 278, 269, 28800, 639, 29084, 538, 1488, 625, 267, 26124, 693, 513, 9588, 540, 476, 276, 269, 279, 267, 543, 568, 4092, 476, 1556, 5232, 22703, 540, 12794, 6230, 269, 531, 267, 519, 6505, 652, 5182, 538, 1488, 625, 269, 1547, 634, 9855, 10596, 476, 272, 269, 276, 5232, 5045, 540, 28800, 639, 593, 5130, 476, 1556, 269, 9370, 14380, 1354, 476, 277, 513, 6230, 269, 543, 12599, 998, 606, 27314, 851, 540, 519, 27305, 10158, 2394, 5130, 543, 8279, 909, 547, 513, 9588, 540, 476, 272, 269, 275, 269, 9370, 568, 476, 277, 5232, 5087, 540, 519, 5182, 4165, 4100, 269, 2201, 5130, 476, 3066, 267, 519, 524, 29266, 7599, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4098, 540, 5017, 784, 267, 519, 513, 5633, 2231, 616, 1101, 5189, 593, 519, 1101, 649, 786, 2328, 513, 2688, 1557, 3732, 593, 1022, 1888, 4481, 585, 596, 269, 7743, 1557, 2497, 476, 272, 1697, 1557, 2497, 14169, 540, 606, 1557, 7548, 31444, 333, 5017, 784, 7005, 8257, 476, 273, 14169, 540, 606, 269, 10261, 1603, 1557, 827, 16403, 600, 7701, 562, 2998, 17844, 740, 747, 773, 519, 3310, 540, 3961, 538, 5017, 784, 267, 513, 2110, 1650, 676, 16403, 600, 7701, 562, 2998, 17844, 740, 747, 773, 630, 26116, 1913, 267, 476, 274, 3817, 563, 303, 20191, 5222, 2069, 7662, 9623, 2671, 713, 2985, 281, 1753, 5816, 476, 1015, 5013, 827, 875, 6710, 5222, 2069, 23891, 476, 2918, 267, 476, 1001, 277, 676, 737, 2077, 2088, 5017, 784, 269, 10801, 1312, 1412, 18346, 784, 262, 543, 7640, 523, 781, 6965, 1689, 568, 1419, 2938, 538, 2942, 2474, 281, 21570, 7575, 476, 1911, 271, 2262, 1557, 593, 1412, 18346, 784, 262, 676, 694, 30807, 1014, 3655, 592, 802, 269, 10390, 2518, 8337, 1557, 910, 1205, 3323, 609, 1382, 1957, 1603, 543, 9597, 4777, 577, 6280, 1557, 1603, 694, 30807, 1014, 3655, 592, 802, 5017, 784, 2079, 1557, 269, 7734, 1557, 281, 2067, 626, 543, 7376, 2261, 807, 521, 756, 344, 12848, 5789, 1014, 729, 513, 4807, 538, 5017, 784, 543, 8659, 519, 1101, 16493, 540, 513, 12566, 20625, 543, 554, 2459, 1442, 563, 10403, 5017, 784, 4574, 267, 3594, 267, 543, 1382, 4574, 269, 634, 4478, 1604, 585, 1900, 1156, 538, 5017, 784, 568, 4330, 607, 1373, 28677, 267, 543, 519, 2370, 10195, 540, 1644, 607, 543, 513, 1377, 2112, 6965, 3594, 269, 3367, 713, 2407, 1557, 593, 2112, 4798, 538, 5017, 784, 676, 694, 30807, 1014, 3655, 592, 802, 519, 2497, 540, 3655, 592, 330, 781, 5017, 784, 2636, 721, 547, 7747, 519, 1764, 540, 519, 2112, 2390, 269, 20002, 784, 568, 513, 1079, 1532, 539, 3336, 561, 17690, 267, 609, 7362, 23824, 5784, 547, 519, 11824, 543, 5836, 2509, 519, 20498, 10877, 1115, 3605, 5641, 4673, 18956, 338, 2221, 563, 13706, 267, 585, 1383, 267, 1010, 6679, 9433, 538, 606, 1557, 13886, 968, 6229, 4278, 2313, 2223, 12286, 538, 513, 8970, 749, 6917, 1153, 6978, 2280, 3370, 538, 476, 5002, 280, 1131, 602, 1775, 269, 901, 5098, 13408, 1079, 6810, 281, 519, 1101, 568, 513, 2565, 1557, 543, 519, 2034, 606, 3655, 592, 802, 781, 5017, 784, 6212, 538, 1469, 593, 519, 1764, 540, 32685, 272, 593, 1079, 18008, 269, 5274, 22906, 609, 5017, 784, 814, 1185, 513, 7096, 3310, 593, 7262, 7574, 2219, 713, 1557, 8385, 7902, 538, 3390, 1948, 273, 540, 9754, 20304, 269, 2986, 5017, 784, 883, 513, 28505, 8642, 3239, 1572, 513, 4715, 5766, 1090, 519, 11599, 1557, 593, 713, 1888, 568, 9267, 614, 1649, 15924, 781, 476, 4350, 277, 1557, 968, 1492, 960, 540, 1148, 538, 519, 563, 10403, 1557, 281, 689, 5017, 784, 676, 694, 30807, 1014, 3655, 592, 802, 13544, 3595, 3630, 576, 606, 9237, 9723, 3240, 519, 3209, 5017, 784, 676, 694, 30807, 1014, 3655, 592, 802, 568, 513, 1650, 540, 1585, 2694, 540, 835, 269, 10370, 29953, 979, 12317, 337, 607, 11609, 538, 979, 9220, 781, 4583, 3209, 540, 519, 1482, 2012, 267, 1528, 633, 3413, 514, 885, 616, 3532, 3347, 602, 16358, 1125, 896, 4657, 2175, 269, 28042, 2093, 538, 519, 13964, 543, 267, 1991, 547, 519, 3684, 2085, 267, 5017, 784, 1131, 713, 1557, 7710, 19320, 1063, 581, 29348, 18305, 543, 5017, 784, 543, 267, 538, 269, 14675, 6927, 281, 1557, 2575, 676, 2470, 689, 17962, 5152, 543, 5017, 784, 547, 519, 18819, 649, 7747, 2429, 938, 26355, 267, 12372, 723, 269, 769, 519, 1101, 3184, 540, 1412, 18346, 784, 3299, 3655, 592, 802, 3096, 4259, 3226, 547, 22509, 17495, 578, 649, 786, 2328, 513, 2688, 1557, 3732, 593, 1018, 568, 519, 4644, 540, 4259, 563, 16032, 1557, 1603, 593, 2518, 8337, 910, 1205, 547, 917, 2596, 7840, 607, 547, 9597, 4777, 577, 6280, 1557, 1603, 694, 30807, 1014, 3655, 592, 802, 5017, 784, 2079, 1557, 269, 5131, 1557, 281, 519, 2497, 540, 3655, 592, 330, 781, 5017, 784, 2636, 721, 547, 7747, 519, 1764, 540, 519, 2112, 2390, 3875, 2043, 2066, 519, 5481, 2429, 519, 269, 20002, 784, 781, 1433, 5161, 540, 476, 1321, 3594, 646, 5206, 1063, 476, 1220, 279, 543, 476, 1001, 275, 267, 543, 789, 616, 782, 1759, 593, 1010, 1378, 2833, 543, 7422, 5017, 784, 814, 513, 563, 306, 344, 526, 6510, 713, 1557, 2671, 281, 512, 11548, 476, 274, 267, 15876, 1489, 513, 324, 517, 1776, 14745, 2501, 689, 2090, 540, 5017, 784, 950, 1762, 5256, 5017, 1451, 269, 769, 713, 1557, 267, 24636, 5170, 713, 3408, 998, 513, 8086, 593, 713, 540, 24569, 2825, 2934, 630, 339, 4459, 1782, 1216, 267, 5017, 784, 602, 1129, 4705, 513, 269, 645, 4958, 5017, 784, 568, 593, 4734, 713, 1032, 1247, 646, 5713, 607, 519, 1244, 14280, 930, 540, 7548, 5017, 784, 781, 14172, 267, 1519, 513, 2487, 1557, 602, 269, 0, 1001, 279, 268, 5400, 268, 866, 30978, 781, 2413, 1686, 281, 713, 1974, 729, 513, 942, 540, 1514, 543, 2804, 1689, 1369, 519, 13338, 21257, 3964, 538, 476, 6245, 271, 607, 519, 3670, 6305, 26110, 4371, 5604, 1063, 476, 2735, 280, 543, 476, 1960, 277, 267, 606, 269, 634, 4473, 540, 29275, 543, 7819, 7082, 2528, 29827, 1633, 1533, 21517, 543, 22927, 6191, 3812, 693, 713, 942, 267, 6609, 281, 4657, 4605, 11015, 267, 713, 812, 568, 909, 547, 4266, 269, 476, 1001, 279, 268, 5400, 268, 6860, 1269, 15686, 2929, 4502, 540, 5370, 676, 476, 5002, 271, 2101, 6080, 540, 519, 1974, 3769, 1063, 476, 6642, 271, 543, 476, 5002, 271, 519, 1297, 540, 2021, 3735, 13524, 2540, 267, 751, 343, 553, 6214, 7960, 689, 840, 21232, 566, 609, 519, 563, 763, 30222, 540, 30067, 4815, 476, 6977, 271, 268, 5002, 271, 3877, 7121, 281, 1282, 519, 1974, 540, 519, 10504, 519, 16456, 598, 20896, 2924, 941, 4371, 676, 519, 11440, 30067, 4618, 16749, 2754, 799, 729, 513, 630, 7785, 260, 1063, 476, 6642, 271, 543, 476, 4489, 271, 1070, 269, 476, 1001, 276, 268, 6734, 268, 1556, 6214, 543, 519, 20949, 547, 6963, 519, 1152, 942, 538, 7819, 1686, 950, 25847, 1185, 1022, 1483, 3310, 538, 7819, 6214, 513, 1974, 540, 11999, 19727, 1063, 4074, 543, 2359, 1063, 476, 6642, 271, 543, 476, 5002, 271, 11783, 476, 1001, 274, 268, 5881, 268, 6860, 5618, 15415, 540, 7819, 3332, 543, 2621, 281, 8687, 271, 268, 8687, 280, 269, 476, 1001, 278, 268, 4962, 268, 1839, 855, 519, 1710, 632, 23313, 11726, 2193, 1765, 18485, 693, 519, 942, 543, 1256, 811, 865, 538, 1699, 538, 519, 3332, 543, 2528, 540, 519, 1974, 476, 6642, 271, 1700, 5002, 271, 602, 22157, 547, 581, 2686, 6214, 693, 519, 1710, 632, 23313, 11726, 2193, 4342, 8822, 267, 20410, 563, 26581, 7434, 1436, 543, 20012, 538, 519, 8087, 2829, 267, 1063, 476, 6642, 271, 543, 476, 5002, 271, 267, 2679, 1016, 7875, 807, 676, 12373, 2803, 568, 513, 2143, 960, 602, 6227, 513, 2147, 1641, 936, 519, 1482, 942, 1974, 269, 7033, 5202, 689, 476, 6245, 271, 547, 476, 5002, 271, 519, 476, 6245, 271, 338, 281, 1634, 14646, 524, 9992, 2946, 23992, 267, 7819, 24413, 543, 2797, 4137, 519, 4630, 652, 1737, 5374, 10880, 538, 7262, 4050, 11796, 5828, 883, 513, 7542, 665, 1190, 1554, 17489, 6370, 1063, 269, 476, 1001, 275, 268, 4905, 268, 6734, 519, 8087, 2829, 538, 519, 1158, 4346, 267, 476, 5197, 271, 268, 5002, 271, 1107, 4655, 1063, 2516, 936, 2436, 547, 2132, 547, 4154, 476, 5908, 271, 476, 6642, 271, 476, 5002, 271, 20410, 476, 1015, 269, 476, 1220, 273, 268, 6187, 268, 1704, 1063, 476, 6642, 271, 543, 476, 4572, 271, 267, 519, 1007, 11082, 1282, 519, 476, 6642, 271, 268, 4572, 271, 1974, 3335, 12306, 538, 519, 4872, 942, 950, 5266, 1906, 7013, 543, 9456, 24067, 11082, 1185, 8452, 269, 476, 1220, 278, 268, 4962, 268, 2767, 16851, 8789, 267, 476, 5908, 276, 268, 4572, 271, 1063, 476, 5908, 276, 543, 476, 4572, 271, 267, 1063, 476, 5908, 271, 543, 476, 5002, 271, 267, 5198, 543, 519, 1292, 338, 1440, 902, 540, 7819, 6214, 563, 1001, 274, 268, 4962, 268, 6187, 32204, 7819, 1686, 689, 476, 5197, 271, 547, 476, 4489, 275, 7291, 7239, 538, 3406, 540, 2933, 476, 5197, 271, 268, 5002, 271, 630, 331, 11294, 7819, 2528, 729, 14324, 1063, 519, 6561, 540, 519, 1296, 1063, 476, 6642, 271, 543, 476, 8687, 271, 610, 2864, 519, 24182, 476, 4489, 273, 269, 476, 1001, 271, 268, 6187, 268, 1015, 7819, 2872, 630, 5908, 271, 268, 5002, 271, 264, 1775, 22713, 2421, 1492, 5908, 271, 338, 13797, 519, 11897, 12009, 20675, 4146, 513, 9295, 268, 21510, 515, 322, 2753, 21351, 536, 2551, 9113, 1545, 524, 2724, 5115, 1388, 546, 2229, 23418, 677, 552, 2208, 1993, 974, 9592, 535, 519, 571, 559, 30030, 269, 3013, 781, 575, 843, 539, 2085, 267, 476, 6942, 271, 268, 6245, 271, 3184, 1353, 7291, 519, 476, 6642, 271, 14829, 4951, 585, 519, 1101, 942, 602, 513, 5354, 540, 519, 13781, 7722, 538, 1875, 325, 9879, 6009, 1063, 476, 6642, 271, 543, 476, 5002, 271, 11783, 476, 1001, 276, 268, 1321, 268, 6349, 713, 5266, 1507, 5108, 1336, 3294, 29011, 1117, 1063, 519, 2112, 5869, 575, 529, 543, 519, 1804, 543, 9565, 4816, 1630, 9593, 5108, 267, 513, 2165, 602, 1101, 7902, 563, 27001, 476, 6642, 271, 543, 476, 5002, 271, 267, 4872, 538, 519, 8087, 2829, 8057, 693, 513, 10565, 2557, 19962, 1034, 540, 741, 2551, 2208, 547, 519, 7269, 540, 2872, 2872, 2813, 6009, 543, 513, 21438, 4087, 585, 799, 1004, 3710, 741, 269, 476, 1001, 279, 268, 5400, 268, 1691, 789, 7018, 693, 519, 4295, 1974, 540, 519, 7700, 547, 519, 2804, 13884, 540, 519, 942, 519, 476, 6642, 271, 338, 941, 5374, 7406, 4070, 540, 6607, 27214, 1905, 619, 5949, 585, 519, 1101, 942, 27095, 5324, 476, 1626, 267, 476, 6642, 271, 281, 519, 7819, 269, 634, 4074, 543, 2324, 11665, 1686, 540, 519, 8087, 2829, 1063, 476, 5002, 271, 543, 476, 3707, 276, 267, 3404, 5112, 1382, 22605, 540, 7819, 1686, 12326, 693, 519, 1482, 942, 267, 519, 29053, 2804, 22820, 2838, 1082, 1007, 4600, 269, 476, 1001, 279, 268, 5400, 268, 1240, 16646, 543, 7262, 7269, 519, 4346, 538, 519, 476, 5908, 271, 338, 543, 1063, 476, 6942, 271, 543, 476, 6642, 271, 519, 2551, 540, 519, 8087, 2829, 9782, 547, 476, 2004, 2929, 267, 621, 729, 513, 22820, 6976, 585, 538, 1804, 851, 676, 519, 5313, 2229, 27260, 19445, 1686, 7329, 476, 29720, 277, 29317, 13807, 698, 4240, 6214, 267, 543, 5175, 3258, 4159, 519, 1152, 2694, 540, 519, 2484, 7178, 602, 941, 3810, 12306, 941, 1608, 4727, 543, 751, 343, 553, 1063, 476, 5908, 276, 543, 519, 476, 6245, 271, 338, 267, 2705, 11783, 476, 1001, 279, 268, 5400, 268, 1240, 6214, 267, 8105, 267, 10504, 267, 476, 6942, 277, 1700, 5002, 271, 513, 1007, 2486, 281, 2804, 1299, 1514, 1689, 676, 552, 1872, 2940, 522, 262, 928, 650, 18808, 609, 519, 1894, 1063, 606, 19052, 13001, 26410, 812, 543, 513, 3043, 4807, 269, 476, 1001, 279, 268, 6860, 268, 2764, 513, 5618, 3391, 547, 7819, 5339, 5712, 1934, 616, 930, 540, 519, 1034, 4122, 8815, 2390, 5712, 540, 7819, 3332, 689, 519, 7810, 1974, 547, 543, 4550, 10140, 28344, 618, 6214, 713, 942, 1974, 4718, 513, 4473, 563, 1220, 279, 268, 6187, 268, 1789, 20835, 538, 519, 8087, 2829, 267, 476, 5908, 276, 268, 4572, 271, 519, 16724, 779, 4567, 538, 7819, 2486, 952, 2479, 972, 729, 513, 942, 610, 972, 729, 1100, 2362, 3804, 585, 513, 1762, 7819, 5256, 547, 11654, 1282, 713, 1974, 982, 547, 269, 9741, 4224, 267, 2907, 606, 11889, 543, 5010, 4099, 267, 8057, 3592, 476, 1220, 2600, 1063, 476, 6642, 271, 543, 476, 5002, 271, 267, 18083, 941, 513, 3844, 3390, 538, 1454, 540, 2022, 3146, 18586, 6214, 713, 942, 1063, 519, 11180, 269, 476, 1001, 279, 268, 5881, 268, 866, 8087, 2829, 1686, 15415, 267, 519, 476, 6642, 271, 781, 267, 13314, 1045, 757, 922, 4070, 1131, 29428, 519, 11802, 540, 7819, 4229, 538, 519, 476, 6642, 274, 910, 2947, 3044, 942, 10851, 616, 3964, 676, 519, 8087, 2829, 543, 269, 476, 1001, 274, 268, 4962, 268, 1626, 4352, 9499, 4043, 547, 9446, 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 ]
[ 7087, 16222, 9439, 543, 24299, 267, 1053, 666, 2744, 3407, 4030, 883, 519, 1950, 6384, 1063, 3936, 2401, 7239, 543, 3689, 8315, 267, 631, 18863, 529, 267, 543, 27478, 5095, 780, 2026, 649, 1847, 4464, 267, 621, 568, 2629, 547, 5431, 519, 2956, 540, 28160, 1944, 16222, 2853, 269, 901, 1184, 3322, 4101, 16402, 1417, 878, 10054, 827, 15312, 267, 2773, 6163, 267, 543, 9423, 2553, 602, 20441, 13416, 16222, 5238, 269, 5502, 267, 28160, 1944, 16222, 7512, 4244, 12331, 540, 6041, 12082, 538, 2199, 1702, 1949, 267, 17035, 267, 543, 4296, 547, 2244, 269, 6270, 4485, 1419, 11168, 7104, 5137, 3157, 267, 29076, 5698, 267, 543, 1875, 327, 1512, 1105, 673, 1379, 3889, 602, 1016, 3200, 6671, 25327, 11342, 538, 1082, 3318, 3549, 269, 5015, 267, 28160, 1944, 16222, 3091, 3255, 585, 7067, 543, 1582, 24148, 267, 3850, 13840, 3623, 10642, 2950, 547, 7682, 1852, 936, 6386, 4478, 741, 2729, 543, 11182, 780, 3080, 8037, 1383, 540, 28160, 1944, 16222, 2259, 568, 519, 946, 540, 32695, 19449, 3380, 269, 14216, 1882, 689, 1585, 7087, 6082, 267, 32695, 19449, 3380, 616, 18497, 5624, 1141, 5171, 5531, 538, 513, 5858, 5250, 547, 4497, 538, 16614, 5188, 267, 2671, 2123, 2984, 267, 543, 6432, 8362, 547, 1866, 269, 9521, 2757, 5375, 3631, 540, 7521, 610, 4901, 267, 32695, 19449, 3380, 7500, 896, 1808, 4808, 602, 6536, 12581, 7589, 267, 3895, 2620, 6947, 267, 543, 5000, 13618, 20671, 2864, 982, 10779, 25106, 7158, 269, 1879, 4294, 547, 26974, 3740, 5468, 267, 32695, 19449, 3380, 1683, 2922, 5054, 585, 3309, 5380, 547, 581, 4862, 267, 24019, 267, 543, 7471, 883, 3860, 3157, 269, 3958, 267, 789, 11349, 6568, 1851, 3523, 2209, 267, 7175, 873, 547, 1628, 3972, 543, 7794, 3347, 1898, 585, 3811, 26254, 960, 780, 5194, 1713, 2460, 540, 7087, 16222, 6013, 538, 922, 4390, 547, 7519, 8789, 27964, 4478, 13597, 543, 9562, 269, 10705, 267, 7087, 2984, 616, 3261, 730, 610, 12796, 1881, 676, 5007, 4229, 5275, 547, 7443, 689, 741, 16678, 1143, 1510, 14344, 741, 8129, 610, 17874, 1346, 4171, 5030, 2833, 1217, 891, 6386, 269, 1677, 25559, 971, 14226, 267, 1896, 5159, 543, 3906, 12167, 585, 519, 6388, 540, 10873, 16135, 538, 5683, 3741, 899, 25262, 640, 267, 9844, 267, 543, 12477, 269, 1452, 10873, 2327, 602, 950, 4687, 7087, 2984, 267, 15888, 8956, 2757, 10752, 267, 4125, 4143, 8639, 267, 543, 14487, 1697, 5491, 547, 2959, 269, 5047, 267, 789, 20838, 519, 991, 585, 5571, 15360, 543, 2078, 20671, 1063, 5159, 267, 2950, 267, 543, 9458, 780, 1103, 3932, 267, 8508, 7087, 12416, 543, 28160, 1944, 16222, 2853, 4564, 513, 4105, 1900, 4724, 5807, 3152, 13784, 267, 4763, 267, 543, 4081, 8699, 1369, 2362, 2069, 5238, 269, 1635, 9691, 10452, 593, 2250, 1098, 326, 11306, 543, 22867, 6000, 547, 13710, 1689, 267, 649, 666, 1711, 6209, 19929, 1063, 19635, 2516, 267, 24905, 548, 26568, 1949, 267, 543, 6038, 28196, 710, 1018, 13054, 3743, 14172, 269, 898, 568, 1152, 1287, 602, 649, 949, 5963, 8956, 519, 7326, 540, 7087, 22242, 267, 11937, 267, 543, 1702, 1832, 619, 945, 3136, 547, 3391, 721, 2059, 11444, 540, 5168, 267, 2463, 267, 543, 8994, 1620, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8601, 3140, 543, 5571, 2591, 267, 4516, 814, 1044, 1818, 9621, 26058, 2509, 21047, 19430, 538, 1804, 851, 676, 519, 960, 540, 519, 18266, 543, 26532, 16624, 8189, 540, 4516, 630, 1001, 276, 1040, 1284, 22632, 938, 7087, 661, 671, 619, 543, 1323, 6827, 832, 945, 723, 3366, 1514, 543, 3872, 5322, 602, 3957, 543, 5706, 539, 519, 2942, 4093, 2813, 543, 4797, 676, 513, 8225, 7810, 1686, 269, 634, 4589, 1448, 547, 1699, 12250, 3785, 540, 28160, 1944, 543, 1473, 3394, 1944, 519, 30028, 607, 8066, 519, 1761, 547, 556, 12413, 710, 1018, 4081, 8699, 1797, 269, 1306, 513, 29014, 1448, 540, 7127, 883, 875, 3450, 543, 1565, 5640, 1522, 556, 29264, 1699, 1523, 687, 540, 8699, 267, 649, 1294, 1473, 3394, 1944, 3646, 2066, 513, 1297, 540, 8225, 9945, 607, 519, 4493, 689, 799, 547, 3717, 547, 513, 811, 8537, 543, 627, 565, 2065, 4214, 540, 4081, 8699, 269, 634, 4589, 3343, 547, 1966, 520, 1125, 519, 1699, 683, 565, 28515, 543, 5010, 1242, 4485, 547, 2069, 1141, 1114, 3029, 540, 4081, 13817, 2265, 8451, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19010, 24717, 1315, 7087, 1315, 1546, 3712, 517, 1944, 20989, 13756, 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, 278, 281, 20676, 665, 1484, 1107, 589, 8342, 543, 32213, 4813, 540, 20676, 532, 692, 296, 269, 4985, 454, 290, 5670, 665, 1484, 630, 290, 311, 1070, 1419, 5219, 547, 607, 1412, 29589, 10086, 568, 513, 2189, 1106, 540, 17919, 17040, 602, 10905, 2609, 540, 4155, 15203, 267, 7823, 31610, 267, 543, 14869, 548, 577, 848, 269, 2060, 922, 8129, 6580, 1394, 547, 519, 2038, 476, 736, 628, 2540, 538, 2342, 267, 595, 311, 814, 7960, 883, 513, 2442, 7328, 5001, 267, 19788, 5171, 540, 782, 6502, 543, 5759, 269, 901, 3184, 12538, 883, 519, 3078, 1158, 540, 7814, 665, 1484, 267, 10771, 922, 8537, 2470, 267, 799, 24889, 609, 4207, 6848, 2418, 269, 1635, 3695, 713, 9015, 781, 1686, 267, 3937, 4170, 267, 2553, 267, 2866, 2409, 267, 543, 8013, 2497, 267, 1053, 786, 2744, 513, 9488, 7071, 540, 1946, 7814, 665, 1484, 5170, 547, 1332, 607, 1312, 513, 16351, 13287, 543, 513, 4715, 1807, 7328, 780, 2862, 269, 3778, 543, 4720, 540, 7814, 665, 1484, 454, 288, 269, 17959, 538, 2342, 692, 272, 269, 7216, 3029, 540, 4783, 2861, 14869, 548, 577, 1162, 538, 5333, 543, 5125, 454, 320, 269, 21478, 540, 4108, 21677, 6030, 543, 7504, 17040, 5389, 454, 321, 269, 10020, 540, 15203, 15731, 543, 3260, 619, 538, 12180, 2621, 454, 273, 269, 4886, 540, 1808, 3652, 543, 6042, 454, 320, 269, 6092, 1374, 543, 3259, 454, 321, 269, 16811, 9993, 543, 1450, 1734, 454, 322, 269, 681, 5217, 6688, 543, 12043, 692, 289, 269, 28841, 3564, 2342, 692, 272, 269, 22685, 5406, 538, 3345, 3013, 543, 824, 4525, 454, 320, 269, 6206, 5515, 543, 19325, 538, 5009, 2518, 2208, 454, 321, 269, 8836, 3604, 543, 14624, 692, 7656, 269, 18567, 540, 7814, 665, 1484, 17040, 454, 288, 269, 10469, 1132, 543, 6030, 692, 272, 269, 570, 3637, 1055, 268, 5802, 11387, 538, 11614, 267, 4610, 267, 610, 4683, 5468, 454, 273, 269, 17186, 540, 14099, 2010, 1519, 6371, 267, 13897, 267, 5070, 267, 16095, 267, 543, 31879, 454, 274, 269, 14464, 7496, 971, 607, 24383, 267, 20743, 267, 610, 31966, 8506, 10982, 870, 338, 543, 1121, 870, 338, 692, 289, 269, 30991, 543, 3898, 692, 272, 269, 30003, 5198, 13080, 8151, 689, 476, 1789, 3764, 547, 835, 5662, 454, 273, 269, 7136, 1376, 3898, 8716, 7928, 2990, 2242, 543, 28365, 18902, 951, 454, 274, 269, 11638, 2000, 777, 6030, 3850, 2653, 1569, 585, 4715, 2209, 543, 18793, 692, 4353, 269, 12708, 1983, 543, 2553, 585, 3811, 7814, 665, 1484, 17040, 454, 288, 269, 6778, 532, 543, 10982, 870, 532, 692, 272, 269, 3911, 26743, 13289, 1063, 4881, 543, 14964, 454, 273, 269, 7743, 1560, 17568, 543, 3666, 1282, 4410, 338, 543, 10982, 870, 338, 692, 289, 269, 26861, 12386, 19908, 692, 272, 269, 9701, 1359, 519, 11332, 1247, 10188, 7496, 454, 273, 269, 14929, 4771, 610, 645, 22324, 7749, 4771, 4480, 547, 2312, 1507, 23665, 1510, 10982, 870, 532, 692, 290, 269, 12397, 1359, 543, 7829, 692, 272, 269, 31478, 1899, 3903, 998, 7140, 543, 6467, 10587, 454, 273, 269, 4858, 6362, 2553, 543, 20086, 2359, 538, 1585, 2175, 692, 309, 269, 19805, 543, 4259, 909, 513, 7814, 665, 1484, 11332, 454, 288, 269, 31108, 2326, 543, 9511, 9270, 692, 272, 269, 8752, 7076, 2943, 14463, 3681, 899, 11956, 267, 3327, 6775, 267, 610, 24489, 454, 273, 269, 16930, 22762, 1845, 2966, 585, 2656, 10231, 543, 26227, 7829, 692, 289, 269, 3281, 9426, 5542, 692, 272, 269, 12411, 8684, 12483, 5079, 585, 6404, 7252, 543, 8795, 4365, 2175, 454, 273, 269, 22616, 850, 591, 610, 1167, 26039, 3246, 6325, 16069, 1379, 454, 274, 269, 17266, 5832, 2590, 5397, 10177, 1231, 28976, 13346, 543, 4227, 5826, 2115, 692, 9654, 269, 9751, 2994, 585, 7814, 665, 1484, 1967, 454, 288, 269, 8490, 16608, 543, 4222, 692, 272, 269, 26157, 1279, 11931, 15581, 26055, 609, 1164, 27233, 8884, 7886, 454, 273, 269, 4675, 11915, 23736, 13389, 4295, 6617, 267, 8112, 267, 543, 23292, 1379, 692, 289, 269, 15043, 2930, 15334, 692, 272, 269, 6657, 24200, 5059, 593, 11332, 7829, 267, 8970, 1359, 267, 543, 10982, 870, 338, 270, 8145, 870, 338, 454, 273, 269, 2776, 268, 15869, 11028, 18590, 543, 5432, 1436, 609, 1576, 2934, 692, 290, 269, 11270, 1436, 4058, 692, 272, 269, 13419, 1005, 5993, 2866, 1544, 1472, 1883, 3853, 543, 6098, 2621, 454, 273, 269, 21344, 4320, 543, 8515, 2429, 4005, 547, 2057, 25794, 543, 7063, 692, 23997, 269, 14847, 1438, 3889, 543, 3255, 538, 7814, 665, 1484, 454, 288, 269, 10871, 267, 6237, 267, 3084, 267, 543, 3486, 2680, 3126, 692, 272, 269, 23420, 23085, 7341, 5807, 7589, 693, 23153, 2157, 454, 273, 269, 4432, 924, 1377, 19194, 15386, 1283, 13007, 543, 3318, 1143, 692, 289, 269, 24419, 902, 1949, 543, 28730, 7355, 692, 272, 269, 18745, 14305, 1759, 593, 2773, 1369, 9757, 2085, 2516, 543, 5578, 2157, 454, 273, 269, 7457, 532, 2362, 512, 1512, 2621, 3842, 20340, 610, 1045, 14591, 692, 309, 7656, 269, 10390, 454, 2026, 10423, 538, 519, 21626, 3177, 267, 2413, 7814, 665, 1484, 24151, 519, 6891, 540, 10014, 543, 23274, 1851, 12439, 269, 4706, 3309, 9029, 25186, 2757, 6302, 2404, 609, 824, 15203, 10459, 267, 1818, 621, 606, 4998, 28627, 585, 30226, 619, 5275, 1187, 267, 4101, 2833, 269, 1306, 12621, 3136, 6220, 5026, 543, 18883, 3292, 23695, 547, 6626, 9458, 267, 5356, 2200, 543, 1489, 585, 14971, 7814, 665, 1484, 9845, 1131, 6961, 6225, 538, 14637, 1134, 25454, 2043, 8149, 547, 2123, 1646, 543, 3742, 19824, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1708, 274, 270, 1708, 275, 8293, 611, 16840, 454, 2171, 616, 634, 5845, 569, 645, 833, 5890, 334, 8293, 611, 269, 1284, 616, 10691, 1175, 1776, 17040, 2319, 269, 1284, 616, 513, 2146, 540, 7814, 1235, 945, 616, 13730, 827, 14964, 21891, 267, 10825, 938, 6612, 585, 15203, 267, 543, 2502, 609, 3025, 543, 741, 3993, 547, 3262, 519, 623, 23813, 2648, 2484, 543, 2647, 269, 634, 8293, 611, 814, 2944, 4155, 267, 18574, 267, 7823, 11332, 267, 543, 2468, 987, 23127, 14797, 543, 2621, 910, 865, 8726, 596, 798, 267, 596, 3513, 3514, 1318, 538, 269, 681, 9646, 928, 584, 286, 631, 327, 7825, 269, 9061, 22938, 773, 286, 590, 18150, 909, 269, 1133, 5390, 743, 626, 286, 1284, 1616, 596, 269, 1284, 2731, 630, 516, 958, 264, 1616, 596, 269, 18004, 538, 476, 1001, 279, 267, 649, 616, 3168, 585, 811, 26348, 945, 1871, 2146, 267, 1175, 666, 1405, 7227, 547, 1205, 856, 593, 1079, 14743, 8164, 2009, 267, 543, 1616, 547, 581, 606, 5605, 26513, 585, 13784, 538, 15203, 269, 898, 3085, 1406, 2339, 875, 3728, 596, 616, 267, 1018, 596, 11878, 267, 875, 2484, 596, 11878, 267, 1256, 1141, 596, 11878, 910, 519, 5692, 568, 519, 2648, 540, 519, 11878, 543, 547, 3262, 602, 2648, 547, 1866, 563, 289, 2088, 568, 519, 13574, 518, 543, 10615, 540, 15051, 585, 519, 5845, 569, 645, 833, 5890, 334, 269, 645, 2088, 729, 2141, 11303, 676, 21891, 3395, 909, 267, 855, 3323, 15203, 1310, 1200, 3170, 515, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9501, 3036, 4811, 1299, 23414, 3918, 9569, 1315, 20676, 532, 1315, 20676, 665, 1484, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11683, 13690, 23720, 729, 13752, 519, 31692, 1639, 674, 2391, 9061, 585, 13941, 1200, 8396, 8697, 589, 268, 1015, 774, 8974, 2513, 339, 4083, 609, 1100, 17453, 1852, 543, 1152, 835, 6198, 2599, 1310, 1373, 13351, 676, 20935, 3595, 936, 20045, 24863, 611, 563, 17445, 10243, 281, 21127, 945, 723, 2027, 1983, 602, 616, 2565, 547, 24569, 4108, 4238, 543, 5885, 10136, 949, 4309, 1463, 862, 3827, 269, 1452, 10492, 19582, 5718, 7158, 538, 1876, 267, 4915, 267, 25185, 267, 26849, 267, 4987, 267, 3761, 2000, 690, 2524, 20675, 1636, 566, 267, 4702, 267, 1857, 12602, 267, 11024, 21622, 267, 5836, 2762, 543, 1866, 563, 763, 5518, 267, 14199, 540, 16470, 543, 824, 9972, 10324, 8387, 616, 15695, 676, 513, 5722, 2173, 1897, 17434, 12751, 338, 540, 16065, 267, 799, 568, 18188, 676, 519, 30626, 540, 519, 17434, 12751, 338, 540, 16065, 267, 519, 5207, 8573, 21403, 11464, 538, 519, 2136, 2276, 4108, 543, 519, 21470, 30626, 540, 519, 17434, 12751, 338, 540, 16065, 269, 634, 1964, 540, 519, 1560, 568, 7768, 540, 519, 9843, 540, 1142, 540, 519, 1684, 291, 781, 3028, 8371, 630, 1492, 12751, 540, 16065, 540, 519, 8136, 267, 519, 12751, 540, 25220, 15051, 267, 519, 16710, 656, 540, 519, 13149, 17620, 543, 519, 12751, 540, 16065, 540, 519, 5794, 10414, 264, 607, 1134, 607, 519, 12751, 540, 519, 2817, 15050, 13163, 269, 4014, 4971, 532, 835, 540, 519, 2947, 4108, 8371, 267, 519, 16710, 656, 540, 519, 11076, 15050, 568, 711, 513, 4759, 540, 519, 17434, 12751, 338, 540, 16065, 269, 6736, 1373, 7768, 540, 519, 5207, 8573, 21403, 10492, 538, 1142, 540, 519, 9757, 8371, 267, 519, 17434, 12751, 338, 540, 16065, 1281, 711, 4865, 10512, 4971, 6392, 269, 13298, 267, 519, 7108, 4248, 9539, 747, 11169, 2920, 10997, 873, 1152, 609, 28007, 1379, 563, 1103, 19744, 2342, 267, 8941, 540, 5679, 662, 11856, 543, 669, 2526, 787, 267, 519, 11464, 1362, 540, 519, 1974, 9676, 519, 2442, 9345, 269, 19536, 543, 15023, 899, 13669, 625, 514, 267, 932, 337, 18863, 1329, 632, 31684, 525, 543, 7338, 5689, 800, 5206, 8941, 540, 3541, 2590, 28273, 267, 10023, 14880, 267, 2871, 710, 3164, 267, 700, 766, 14309, 543, 8895, 1695, 611, 269, 4634, 538, 519, 476, 2641, 560, 2540, 267, 2835, 543, 8874, 827, 519, 14880, 1014, 10828, 543, 519, 10513, 3400, 559, 3136, 547, 2408, 563, 24092, 590, 13990, 616, 8464, 602, 723, 513, 6378, 1611, 543, 3044, 11539, 538, 519, 2551, 540, 4983, 525, 269, 589, 9208, 24143, 6920, 875, 1082, 4559, 540, 519, 3044, 11539, 513, 1880, 6060, 568, 1657, 610, 2630, 519, 1611, 269, 769, 519, 2013, 540, 519, 6789, 309, 5723, 5705, 3949, 267, 519, 1611, 568, 1305, 547, 476, 2004, 543, 519, 3044, 11539, 568, 1305, 547, 476, 1015, 269, 4935, 267, 513, 9208, 24143, 540, 476, 2412, 6920, 602, 519, 4983, 324, 20639, 476, 272, 3044, 11539, 2630, 519, 1611, 269, 589, 9208, 24143, 540, 476, 3583, 6920, 602, 519, 4983, 324, 20639, 476, 273, 3044, 24017, 1657, 519, 1611, 269, 1677, 1451, 811, 827, 875, 3044, 8464, 616, 6508, 543, 1031, 267, 4945, 1934, 269, 0, 288, 1689, 666, 581, 8068, 543, 4857, 676, 824, 2242, 538, 519, 3209, 267, 513, 9661, 540, 1079, 4872, 267, 30479, 26863, 839, 3096, 13513, 267, 782, 16272, 267, 543, 22509, 17495, 12976, 547, 6655, 1010, 10182, 2509, 519, 18008, 4838, 1247, 849, 4463, 2287, 519, 24457, 540, 519, 14232, 24187, 269, 29062, 267, 1016, 7120, 267, 8755, 3724, 267, 22509, 17495, 12976, 543, 20451, 316, 519, 1650, 5956, 538, 535, 8896, 267, 1896, 1296, 1354, 519, 18008, 4838, 267, 17176, 547, 24469, 267, 543, 1287, 513, 9661, 540, 1079, 4872, 22509, 17495, 12976, 7024, 547, 535, 8896, 693, 519, 1439, 10081, 10372, 616, 2139, 2899, 596, 1826, 693, 2547, 476, 274, 5022, 269, 589, 9661, 540, 1079, 4872, 676, 30479, 26863, 839, 1753, 1315, 3332, 1315, 513, 9661, 540, 1079, 4872, 1315, 2079, 1315, 13513, 267, 11052, 267, 14336, 800, 1315, 9174, 270, 29188, 13513, 267, 11052, 267, 14336, 800, 1315, 9174, 270, 29188, 695, 15879, 641, 14167, 5758, 695, 15879, 641, 14167, 695, 15879, 641, 14167, 269, 6258, 9661, 540, 1079, 4872, 5339, 3457, 609, 1863, 7317, 15460, 3442, 689, 476, 4335, 1114, 5036, 540, 9661, 540, 1079, 4872, 5339, 3457, 15460, 593, 28866, 2845, 538, 1129, 909, 9661, 540, 1079, 4872, 5339, 3457, 15460, 22509, 17495, 12976, 269, 589, 9661, 540, 1079, 4872, 267, 799, 5654, 1394, 593, 519, 18008, 4838, 267, 568, 538, 1082, 2081, 513, 1650, 827, 31587, 798, 558, 1317, 540, 713, 267, 26863, 839, 4749, 3096, 22509, 17495, 12976, 547, 20726, 693, 29695, 1919, 547, 563, 293, 2803, 17495, 12976, 538, 513, 9661, 540, 1079, 4872, 30479, 26863, 839, 3096, 22509, 17495, 12976, 538, 513, 9661, 540, 1079, 4872, 547, 24633, 540, 1614, 14232, 2621, 519, 946, 540, 22509, 17495, 12976, 5012, 547, 513, 15398, 1377, 540, 24457, 543, 7279, 267, 799, 20882, 519, 5467, 547, 3136, 593, 538, 513, 1391, 547, 4194, 519, 9814, 519, 1101, 946, 269, 589, 9661, 540, 1079, 4872, 676, 30479, 26863, 839, 1753, 1315, 3332, 1315, 513, 9661, 540, 1079, 4872, 1315, 2621, 1315, 4320, 1775, 267, 3184, 2947, 1107, 519, 9174, 6879, 641, 22509, 17495, 12976, 267, 4896, 1134, 267, 9811, 9811, 267, 621, 568, 607, 938, 15669, 703, 2158, 267, 713, 2699, 786, 782, 1932, 4166, 581, 8719, 676, 519, 2699, 540, 1973, 13576, 538, 519, 10754, 269, 966, 571, 15282, 781, 3165, 13050, 6361, 21226, 9661, 950, 646, 16788, 547, 476, 2641, 560, 2540, 521, 756, 4997, 2306, 585, 513, 1187, 6467, 593, 519, 14810, 621, 849, 3322, 606, 7357, 1114, 1305, 540, 3197, 538, 513, 1259, 602, 786, 4440, 2097, 909, 2663, 538, 519, 3126, 267, 1317, 621, 4667, 899, 519, 2278, 568, 22509, 17495, 12976, 602, 519, 4229, 3297, 519, 28749, 616, 4058, 547, 7936, 856, 547, 824, 563, 299, 3558, 11301, 3651, 338, 513, 2681, 543, 12835, 547, 1142, 6249, 538, 513, 9661, 540, 1079, 4872, 267, 799, 596, 666, 946, 547, 3950, 519, 4798, 2429, 519, 960, 535, 344, 10623, 267, 533, 4954, 513, 9661, 540, 1079, 4872, 1433, 476, 272, 267, 3184, 476, 274, 1396, 577, 11301, 1396, 577, 11301, 26270, 322, 267, 476, 2420, 15567, 476, 1001, 274, 1357, 476, 2190, 12354, 476, 1001, 279, 535, 344, 10623, 267, 533, 4954, 513, 9661, 540, 1079, 4872, 1433, 476, 272, 267, 3184, 476, 274, 269, 3690, 5296, 540, 513, 9661, 540, 1079, 4872, 1433, 519, 2034, 22509, 17495, 12976, 268, 26863, 839, 3096, 22509, 17495, 12976, 950, 7047, 517, 6645, 23058, 773, 972, 568, 513, 812, 945, 1131, 2285, 1010, 1272, 2073, 547, 1832, 513, 1272, 596, 2648, 22290, 596, 9638, 326, 476, 14444, 264, 1835, 684, 7815, 25395, 602, 519, 1079, 1004, 546, 7568, 599, 6743, 693, 616, 2469, 547, 581, 22168, 585, 519, 26956, 6249, 281, 519, 4798, 3384, 269, 589, 9661, 540, 1079, 4872, 281, 22509, 17495, 12976, 835, 1383, 540, 22509, 17495, 12976, 568, 861, 17036, 7047, 517, 781, 9153, 547, 23058, 773, 602, 646, 786, 798, 4376, 585, 23058, 344, 610, 1022, 15210, 547, 23058, 773, 693, 519, 4098, 540, 519, 3209, 950, 588, 787, 591, 4547, 909, 547, 7047, 517, 1010, 2648, 585, 23058, 773, 267, 861, 17036, 7047, 517, 1743, 1678, 519, 24362, 693, 513, 1390, 2557, 267, 1743, 1678, 621, 676, 519, 29424, 619, 267, 3168, 693, 1010, 3659, 630, 15782, 563, 22146, 1871, 15699, 538, 513, 9661, 540, 1079, 4872, 538, 713, 1557, 267, 1775, 786, 8044, 602, 835, 540, 519, 5817, 24500, 538, 30479, 26863, 839, 262, 3209, 513, 9661, 540, 1079, 4872, 630, 6977, 280, 264, 568, 519, 15699, 540, 22344, 2418, 538, 476, 1240, 628, 2540, 4619, 20187, 24469, 269, 674, 2803, 17495, 12976, 538, 513, 9661, 540, 1079, 4872, 22509, 17495, 12976, 538, 513, 9661, 540, 1079, 4872, 538, 513, 9661, 540, 1079, 4872, 267, 30479, 26863, 839, 4749, 3096, 22509, 17495, 12976, 547, 1711, 513, 2631, 540, 31587, 798, 558, 585, 1010, 3197, 269, 26626, 540, 1079, 4872, 1175, 1776, 2262, 12304, 1260, 1357, 8421, 22509, 17495, 12976, 22509, 17495, 12976, 568, 519, 957, 540, 3246, 22394, 4434, 23053, 585, 1383, 1082, 4589, 2995, 1507, 2984, 693, 519, 581, 21794, 540, 741, 1433, 547, 2099, 1945, 602, 786, 4755, 2663, 538, 519, 1433, 563, 288, 9661, 540, 1079, 4872, 3184, 476, 276, 3349, 540, 9115, 782, 5396, 513, 9661, 540, 1079, 4872, 693, 513, 16145, 1433, 5758, 827, 513, 9661, 540, 1079, 4872, 1915, 1592, 8188, 267, 543, 3952, 267, 22509, 17495, 12976, 519, 1973, 602, 786, 581, 838, 2683, 972, 538, 2663, 1296, 3330, 519, 9174, 6879, 641, 267, 544, 976, 773, 584, 543, 14834, 877, 1219, 1618, 598, 2091, 609, 1614, 824, 2367, 267, 782, 1572, 795, 659, 13196, 269, 589, 9661, 540, 1079, 4872, 4633, 519, 7088, 532, 540, 519, 536, 770, 4068, 1492, 2669, 7047, 338, 609, 741, 798, 15701, 1480, 524, 1173, 6139, 16190, 6749, 540, 519, 1368, 650, 13534, 16405, 6253, 529, 568, 519, 18008, 4838, 602, 30479, 26863, 839, 12667, 569, 19306, 538, 1010, 4583, 960, 513, 9661, 540, 1079, 4872, 269, 589, 9661, 540, 1079, 4872, 267, 2854, 676, 30479, 26863, 839, 267, 3568, 1082, 1806, 540, 22509, 17495, 12976, 835, 1383, 540, 22509, 17495, 12976, 568, 861, 17036, 7047, 517, 781, 9153, 547, 23058, 773, 602, 646, 786, 798, 4376, 585, 23058, 344, 610, 1022, 15210, 547, 23058, 773, 563, 11693, 602, 26863, 839, 3370, 513, 9661, 540, 1079, 4872, 538, 2110, 267, 12353, 3888, 906, 267, 713, 4480, 729, 513, 3226, 2500, 1797, 540, 24569, 519, 5467, 779, 1719, 538, 519, 3209, 519, 5467, 729, 751, 1078, 676, 23456, 540, 17512, 881, 2621, 593, 519, 16880, 543, 13854, 1152, 676, 2542, 630, 663, 1101, 9140, 264, 2417, 3888, 906, 269, 634, 3604, 1063, 519, 1079, 2477, 1831, 811, 14733, 950, 26863, 839, 19776, 519, 2035, 540, 17035, 543, 5126, 538, 1142, 2197, 538, 24469, 267, 1004, 616, 6678, 337, 6817, 609, 519, 16750, 267, 2523, 609, 5075, 2456, 543, 15293, 338, 602, 5968, 25386, 6835, 269, 674, 2803, 17495, 12976, 2165, 4574, 267, 513, 9661, 540, 1079, 1018, 2262, 1655, 6257, 519, 7099, 540, 861, 17036, 7047, 517, 7005, 6338, 3054, 3594, 538, 950, 646, 11564, 23058, 773, 538, 513, 9661, 540, 1079, 4872, 676, 30479, 26863, 839, 22509, 17495, 12976, 3594, 267, 513, 9661, 540, 1079, 4872, 281, 621, 666, 3142, 827, 513, 563, 288, 1592, 540, 1271, 5013, 827, 30479, 26863, 839, 781, 513, 9661, 540, 1079, 4872, 267, 1519, 4259, 267, 6172, 1314, 267, 23233, 267, 543, 21087, 1235, 269, 589, 22509, 17495, 12976, 540, 1480, 5208, 538, 513, 9661, 540, 1079, 4872, 1615, 327, 1144, 538, 3184, 2947, 540, 1433, 835, 267, 950, 513, 9174, 524, 2532, 568, 838, 2683, 593, 1492, 10754, 540, 535, 8896, 563, 1103, 30479, 26863, 839, 8730, 9661, 540, 1079, 4872, 267, 519, 2278, 14578, 22509, 17495, 3298, 519, 31587, 4838, 538, 3184, 2947, 540, 1433, 835, 267, 26863, 839, 2882, 519, 8840, 540, 513, 9174, 524, 2532, 547, 1397, 513, 1804, 267, 791, 1478, 1639, 15624, 10356, 538, 513, 8087, 2014, 269, 8176, 26863, 839, 3096, 22509, 17495, 12976, 538, 513, 9661, 540, 1079, 513, 4677, 540, 6602, 585, 544, 3464, 575, 643, 902, 4872, 547, 24633, 540, 513, 9661, 540, 1079, 4872, 22509, 17495, 12976, 1614, 14232, 2621, 26863, 839, 22509, 17495, 3298, 519, 4729, 538, 476, 4029, 268, 1321, 268, 1960, 279, 513, 9661, 540, 1079, 4872, 814, 476, 277, 3445, 267, 271, 4391, 16863, 543, 476, 1724, 267, 4366, 274, 8039, 269, 674, 2803, 17495, 12976, 568, 1031, 538, 1082, 540, 30479, 26863, 839, 262, 9089, 621, 666, 3142, 827, 513, 2631, 540, 4898, 543, 9345, 540, 1018, 1522, 2049, 2663, 538, 519, 3209, 519, 1523, 540, 22509, 17495, 12976, 1797, 547, 1459, 513, 9963, 1129, 267, 610, 20726, 25656, 602, 26863, 839, 262, 3096, 538, 1010, 3209, 513, 9661, 540, 1079, 4872, 269, 10801, 513, 9661, 540, 1079, 4872, 676, 30479, 26863, 839, 267, 30479, 26863, 839, 3096, 22509, 17495, 12976, 547, 2417, 519, 4729, 540, 519, 3209, 26863, 839, 22509, 17495, 3298, 519, 4729, 538, 513, 1297, 540, 2081, 269, 0, 5629, 267, 606, 2025, 812, 729, 9361, 593, 513, 14541, 540, 513, 4677, 609, 1010, 476, 1839, 344, 3464, 2025, 5067, 972, 729, 513, 3529, 22290, 519, 14541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1635, 3257, 865, 267, 1022, 8942, 693, 23984, 27128, 1831, 10423, 1813, 547, 1253, 25344, 5189, 1282, 27327, 3157, 780, 289, 269, 674, 5424, 2745, 532, 454, 2411, 692, 293, 5424, 2745, 532, 568, 1776, 4480, 1031, 585, 7114, 2189, 4162, 540, 3059, 7221, 269, 9521, 1216, 5658, 532, 799, 6212, 593, 29780, 3606, 1344, 883, 519, 3758, 3294, 267, 31937, 532, 21555, 3982, 2934, 689, 4540, 1543, 547, 5352, 513, 11741, 32165, 1765, 752, 514, 547, 1480, 9416, 21646, 269, 1452, 1541, 13294, 957, 607, 968, 325, 5424, 21646, 892, 585, 1142, 5299, 540, 519, 3758, 267, 3850, 9477, 540, 1367, 8320, 1256, 950, 7856, 2066, 2789, 5867, 610, 3457, 780, 2690, 3236, 267, 2575, 18297, 2533, 2308, 31937, 532, 6620, 547, 2697, 8964, 1373, 5129, 267, 4180, 1697, 28370, 11033, 547, 5159, 7488, 540, 2436, 3755, 14202, 13475, 2047, 610, 2671, 6402, 689, 1114, 2959, 269, 6684, 267, 3239, 6284, 1949, 15407, 31937, 532, 547, 8396, 10677, 26418, 618, 543, 21568, 540, 3308, 2326, 2228, 780, 290, 269, 670, 4770, 454, 1366, 7042, 295, 4770, 3252, 1491, 3403, 1239, 540, 17062, 2450, 543, 3132, 6378, 20695, 17016, 1572, 19474, 2418, 610, 5048, 2007, 3949, 269, 1358, 4865, 1896, 14909, 3601, 602, 1118, 873, 4998, 10457, 585, 9591, 13597, 267, 1519, 15002, 1143, 267, 2656, 19106, 267, 4187, 547, 840, 13548, 6285, 267, 543, 18687, 547, 16580, 6285, 780, 1103, 2259, 267, 814, 1127, 4196, 1079, 3119, 5301, 281, 19027, 543, 4994, 532, 269, 1879, 4294, 547, 17452, 267, 835, 5932, 513, 19474, 1871, 540, 519, 3312, 1239, 543, 18172, 8843, 621, 7258, 519, 4890, 1543, 269, 13536, 267, 4896, 5275, 21533, 1152, 2115, 547, 12337, 519, 19474, 936, 4607, 1239, 543, 5635, 621, 609, 519, 3838, 1871, 282, 952, 789, 6474, 267, 972, 568, 2178, 2963, 602, 519, 1543, 3788, 2150, 31189, 269, 11531, 267, 4994, 532, 18271, 814, 3107, 547, 7561, 3406, 1804, 14449, 676, 10451, 11741, 11269, 540, 6740, 5638, 267, 7175, 4028, 1413, 1575, 2053, 1247, 4509, 1239, 8699, 780, 291, 269, 5398, 27439, 7970, 454, 2411, 692, 14276, 3366, 7970, 267, 2442, 1242, 998, 9893, 2029, 267, 2709, 513, 18228, 1505, 585, 10916, 8852, 543, 8497, 3140, 5638, 269, 29740, 2390, 513, 3060, 540, 10283, 9136, 267, 891, 12240, 2226, 13618, 3823, 4570, 13366, 998, 12001, 543, 1799, 17014, 19883, 6127, 269, 9182, 267, 1022, 3801, 693, 22212, 2250, 5638, 3340, 11566, 12985, 1379, 267, 17021, 30081, 2238, 791, 24411, 780, 3528, 1374, 267, 1857, 3366, 7970, 1683, 7347, 18715, 4478, 13597, 267, 1818, 873, 5078, 585, 3309, 3156, 8151, 689, 2883, 2533, 547, 3761, 5832, 2359, 269, 5047, 267, 5100, 11731, 18611, 593, 1283, 540, 3625, 577, 1622, 5512, 12747, 11056, 540, 11650, 1759, 593, 1095, 564, 2175, 267, 2417, 7393, 3972, 1851, 6223, 532, 6105, 780, 292, 269, 5450, 20631, 5811, 454, 2411, 21387, 18404, 20631, 4016, 547, 24045, 1344, 18913, 3059, 7221, 267, 1419, 10503, 3344, 971, 607, 5137, 4266, 267, 2278, 267, 3898, 267, 4087, 267, 610, 6165, 2924, 269, 2755, 9583, 21030, 6681, 267, 27034, 666, 7866, 2565, 4030, 17640, 547, 13597, 950, 16271, 547, 9488, 6514, 780, 12648, 267, 585, 3236, 267, 26278, 2592, 9676, 1210, 2413, 12514, 610, 16389, 269, 13966, 2515, 18920, 1239, 8204, 519, 4605, 3294, 267, 891, 6119, 3335, 4558, 29882, 27034, 24223, 8254, 5468, 267, 2520, 565, 6327, 10974, 267, 4626, 652, 10102, 267, 543, 1256, 17626, 2338, 269, 22718, 713, 5763, 540, 1344, 6087, 22602, 547, 30599, 4011, 622, 6811, 267, 1201, 1393, 7301, 3125, 338, 267, 610, 10625, 5892, 7164, 4296, 1063, 19635, 4773, 540, 2963, 780, 1103, 3932, 267, 9591, 13597, 19329, 17117, 540, 3309, 2553, 17364, 1312, 6671, 4485, 543, 5499, 4066, 269, 3414, 6297, 3498, 540, 1216, 5658, 532, 267, 31937, 532, 267, 814, 3107, 267, 1857, 24432, 1949, 267, 543, 27034, 2079, 267, 649, 16491, 6000, 609, 23773, 9604, 5827, 540, 22815, 1424, 998, 6106, 540, 26760, 543, 1073, 325, 19895, 566, 269, 20331, 609, 713, 1702, 267, 1577, 721, 3136, 22299, 532, 5168, 543, 5807, 513, 2528, 16135, 538, 9758, 2833, 1107, 1310, 782, 267, 3884, 1405, 602, 1018, 8888, 585, 13597, 568, 782, 827, 286, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 17637, 532, 585, 24956, 30008, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 4197, 13597, 2580, 834, 274, 269, 5680, 274, 543, 25563, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 275, 269, 1160, 1597, 766, 543, 2357, 13369, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 275, 269, 272, 269, 26787, 8810, 766, 2580, 834, 275, 269, 273, 269, 7638, 4328, 2357, 13369, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 275, 269, 274, 269, 9828, 585, 9591, 13597, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8196, 1893, 543, 1806, 602, 1131, 9305, 609, 18295, 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 269, 0, 4985, 1384, 19465, 513, 2178, 6125, 609, 707, 4816, 568, 513, 2629, 2460, 540, 741, 1646, 1282, 26638, 543, 22525, 3125, 269, 901, 1974, 23933, 519, 5748, 585, 2104, 3347, 267, 3929, 7939, 267, 543, 5042, 2208, 269, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1523, 540, 16345, 609, 707, 4816, 1369, 519, 2796, 540, 1920, 543, 2078, 6384, 269, 1284, 786, 2263, 1585, 2994, 267, 6436, 267, 543, 4052, 4388, 547, 948, 3237, 3715, 6209, 4296, 609, 741, 2370, 3283, 1247, 5807, 513, 14637, 1604, 269, 3414, 606, 6514, 540, 3140, 5380, 267, 4207, 4485, 267, 543, 4274, 8369, 267, 649, 2832, 547, 1683, 513, 1134, 25454, 1620, 540, 519, 2956, 540, 2038, 13613, 1063, 15637, 543, 9002, 780, 4089, 476, 272, 281, 4197, 20607, 532, 543, 5900, 16670, 692, 6524, 11362, 883, 1808, 2553, 585, 2679, 513, 2178, 6125, 609, 707, 4816, 267, 1577, 781, 1101, 5581, 891, 2474, 543, 1865, 1946, 789, 616, 1898, 585, 2635, 1126, 1646, 780, 272, 269, 272, 20223, 20607, 532, 543, 5900, 16670, 692, 289, 1180, 532, 4016, 547, 519, 1184, 676, 799, 513, 2385, 3029, 513, 2620, 3929, 4276, 609, 741, 10867, 269, 898, 3322, 4606, 540, 2149, 4369, 267, 14246, 267, 543, 804, 4923, 612, 2509, 519, 4816, 269, 2201, 519, 824, 1688, 267, 13613, 4564, 519, 11972, 3929, 17063, 3964, 1063, 519, 27877, 543, 519, 1126, 269, 589, 5150, 13613, 2636, 1453, 547, 1745, 2922, 3695, 741, 10450, 267, 6616, 789, 666, 7048, 593, 741, 3119, 27877, 585, 1489, 950, 2877, 780, 272, 269, 273, 8466, 21126, 593, 20607, 532, 543, 5900, 16670, 692, 30399, 267, 1585, 24866, 723, 6766, 875, 7239, 2070, 16345, 543, 13613, 269, 1280, 3236, 267, 3627, 30558, 2421, 630, 5002, 278, 1700, 1960, 275, 1070, 513, 3703, 25164, 3315, 560, 267, 2919, 13613, 3069, 1759, 593, 7422, 540, 1762, 1453, 9674, 689, 741, 11299, 1282, 2622, 2782, 4083, 269, 3571, 960, 15091, 519, 4644, 540, 5812, 11928, 1516, 543, 6213, 30506, 538, 5009, 5150, 27589, 269, 2859, 5063, 267, 3173, 899, 11977, 570, 1258, 1157, 630, 321, 269, 476, 3707, 277, 264, 12006, 519, 2956, 540, 8994, 9431, 3157, 538, 9591, 2318, 7554, 1063, 15637, 543, 12256, 780, 4089, 476, 273, 281, 8490, 513, 16200, 20607, 609, 2659, 17926, 692, 3086, 602, 649, 1174, 519, 7811, 24598, 25751, 540, 16345, 543, 13613, 267, 1577, 781, 4983, 930, 4052, 2081, 547, 6536, 713, 4276, 780, 273, 269, 272, 16164, 3562, 4149, 7219, 13555, 692, 3080, 2500, 1505, 585, 14304, 519, 6125, 1063, 2385, 543, 4816, 568, 998, 2960, 3562, 1606, 7219, 3346, 269, 4746, 1634, 607, 737, 30865, 5622, 1416, 267, 713, 4480, 3322, 11093, 519, 21736, 20169, 593, 519, 11953, 9221, 540, 519, 27877, 16172, 1310, 4332, 269, 3194, 814, 3254, 3875, 2640, 2404, 609, 2960, 3562, 1606, 7219, 3346, 267, 971, 607, 4824, 20418, 4093, 267, 32278, 540, 4105, 4191, 267, 4389, 24986, 267, 543, 8476, 2385, 19899, 656, 5872, 780, 273, 269, 273, 13786, 633, 30839, 692, 5194, 2565, 2460, 540, 2679, 513, 2178, 6125, 609, 707, 4816, 568, 2502, 538, 17841, 8023, 2853, 269, 13298, 982, 20170, 547, 7453, 16131, 267, 15637, 1058, 7390, 547, 741, 12256, 262, 10291, 585, 14000, 543, 2893, 328, 1214, 269, 1635, 3257, 865, 267, 789, 1711, 3255, 585, 2318, 4205, 1472, 803, 5306, 830, 267, 7551, 17923, 519, 6125, 1063, 873, 269, 5047, 267, 17841, 8023, 7028, 2635, 4189, 6208, 543, 2597, 2744, 538, 12256, 780, 273, 269, 274, 7638, 4472, 9442, 543, 7327, 532, 692, 19723, 4472, 2792, 4249, 513, 1713, 1909, 538, 8108, 513, 2673, 4276, 609, 707, 4816, 269, 24935, 28663, 267, 13465, 8964, 267, 543, 973, 1746, 21543, 30053, 27875, 519, 10867, 547, 1893, 3270, 543, 2337, 1628, 8849, 11444, 3743, 585, 4633, 1646, 269, 5015, 267, 11913, 6278, 16881, 1140, 2317, 618, 1063, 15637, 543, 12256, 267, 3850, 1312, 6105, 547, 4431, 14013, 547, 1142, 824, 781, 6786, 780, 273, 269, 275, 25291, 543, 7136, 720, 692, 294, 550, 548, 5905, 543, 18552, 2709, 3606, 18817, 585, 7393, 519, 6125, 1063, 15637, 543, 9002, 269, 4340, 547, 1382, 267, 2834, 10867, 18552, 8992, 11005, 267, 10607, 3207, 2298, 267, 6971, 2566, 2157, 267, 543, 7512, 2168, 2208, 269, 3958, 267, 2527, 1645, 707, 4816, 2488, 606, 4316, 585, 5059, 3007, 543, 16345, 942, 267, 2417, 4396, 4328, 519, 13613, 2078, 780, 6962, 1384, 1103, 3932, 267, 2679, 513, 2178, 6125, 609, 707, 4816, 568, 14063, 585, 741, 2949, 1646, 543, 8171, 269, 3414, 2409, 971, 607, 2960, 3562, 1606, 7219, 3346, 267, 17841, 8023, 267, 11913, 2792, 267, 543, 9543, 5905, 267, 15637, 666, 2482, 519, 24536, 585, 5150, 27589, 602, 1305, 519, 3942, 585, 15400, 3347, 543, 3929, 6043, 269, 1306, 938, 2486, 5170, 547, 11457, 267, 621, 3788, 1898, 547, 3251, 5483, 827, 1655, 2853, 538, 10867, 13282, 326, 1853, 16345, 1247, 6236, 1367, 7375, 543, 2686, 2418, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5278, 1433, 6402, 2630, 949, 581, 8835, 24988, 6402, 269, 1403, 596, 3442, 547, 4444, 998, 602, 3095, 267, 621, 3085, 1406, 1689, 707, 3902, 693, 782, 267, 855, 8835, 786, 2285, 803, 513, 1906, 3063, 21347, 585, 519, 512, 3511, 320, 1382, 2508, 563, 2710, 596, 2648, 2542, 827, 887, 344, 1023, 607, 1454, 607, 594, 798, 286, 1403, 865, 267, 2638, 856, 1250, 476, 1708, 274, 10424, 2542, 1592, 910, 782, 519, 1382, 2835, 594, 11751, 267, 22666, 267, 543, 556, 22345, 616, 7396, 1934, 269, 594, 6557, 4946, 2835, 607, 594, 1224, 873, 267, 865, 2638, 1394, 547, 1294, 952, 707, 26717, 1500, 519, 1592, 563, 9617, 20801, 1524, 547, 1205, 519, 9623, 585, 1142, 1433, 267, 1519, 1250, 8292, 269, 2107, 946, 519, 3349, 540, 9115, 2630, 547, 7914, 2786, 547, 513, 1433, 596, 2461, 2907, 5461, 538, 563, 23763, 547, 2303, 513, 1433, 585, 803, 713, 1032, 286, 594, 8910, 2648, 547, 917, 1018, 10643, 596, 4363, 269, 8437, 1934, 547, 6749, 803, 513, 1899, 563, 8310, 8242, 281, 5181, 476, 1704, 267, 476, 1708, 274, 454, 1708, 274, 9576, 7335, 5903, 454, 514, 9904, 673, 1931, 454, 288, 645, 1245, 543, 667, 836, 2730, 7731, 1923, 29460, 10348, 15117, 1923, 21965, 519, 4279, 1923, 932, 27056, 1323, 6339, 974, 1923, 4975, 540, 28691, 267, 4975, 540, 7313, 2581, 1923, 1849, 1662, 540, 9198, 725, 1923, 667, 5922, 540, 2398, 17892, 1923, 634, 4144, 776, 540, 5333, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 1180, 532, 609, 2659, 17926, 257, 607, 851, 540, 834, 293, 4456, 6579, 312, 1299, 23781, 9569, 17239 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]