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
[ 568, 17479, 593, 606, 6587, 2427, 269, 631, 699, 569, 676, 17568, 519, 23684, 538, 12972, 609, 519, 1213, 13586, 12835, 267, 513, 2034, 7400, 3239, 568, 4646, 585, 1142, 540, 519, 2592, 538, 519, 10518, 267, 513, 1985, 10518, 568, 10268, 267, 543, 519, 1184, 5170, 2394, 519, 1439, 540, 519, 4015, 540, 6119, 568, 6603, 269, 589, 9258, 4806, 568, 4553, 950, 519, 23684, 568, 17479, 538, 12972, 609, 519, 3526, 13586, 12835, 563, 1306, 5892, 7150, 267, 538, 835, 20032, 519, 6119, 616, 3239, 6119, 269, 1280, 1383, 267, 519, 3239, 6119, 949, 581, 11147, 6383, 676, 513, 3059, 8254, 269, 634, 8798, 949, 581, 13736, 693, 519, 8254, 610, 693, 513, 2780, 547, 799, 519, 2592, 616, 22434, 269, 4033, 12589, 9323, 616, 14719, 730, 269, 1306, 1806, 267, 519, 1101, 7400, 2592, 543, 2034, 7400, 2592, 949, 581, 14853, 333, 5661, 689, 1114, 3059, 3381, 24056, 610, 949, 581, 18187, 553, 540, 8118, 18376, 9486, 269, 769, 519, 3381, 17157, 20032, 267, 676, 8939, 513, 14853, 333, 841, 267, 519, 3791, 7400, 3239, 568, 4843, 607, 519, 17157, 538, 513, 1404, 2783, 563, 769, 1840, 547, 519, 4159, 1344, 267, 519, 3758, 1344, 949, 581, 4843, 950, 519, 23684, 568, 6410, 538, 12972, 609, 606, 3239, 269, 634, 3758, 1344, 949, 1331, 519, 3758, 2012, 267, 519, 6740, 4087, 267, 543, 519, 3758, 2450, 269, 7316, 519, 1505, 568, 8045, 689, 513, 1357, 2985, 540, 519, 2622, 22453, 5680, 267, 519, 3758, 1344, 23295, 2882, 519, 17629, 12754, 16511, 1807, 630, 7838, 299, 264, 540, 519, 1357, 2985, 689, 799, 519, 3239, 568, 6383, 269, 634, 5542, 540, 513, 2034, 7400, 3239, 1287, 31782, 519, 1357, 2985, 269, 1306, 1776, 2009, 3498, 267, 519, 2592, 538, 519, 10518, 949, 581, 4159, 1344, 540, 1257, 6119, 602, 616, 8202, 539, 563, 1323, 5413, 540, 519, 8798, 568, 602, 519, 10518, 2488, 519, 2592, 538, 606, 20718, 2078, 267, 865, 602, 5496, 1483, 10040, 568, 12873, 269, 2334, 568, 267, 519, 10518, 2488, 513, 11741, 11460, 585, 3561, 19855, 269, 6271, 5413, 568, 602, 519, 19855, 1935, 3648, 6971, 519, 32462, 1145, 540, 3239, 10478, 269, 31040, 14467, 568, 2877, 1152, 950, 513, 968, 327, 527, 892, 610, 1761, 5734, 814, 1044, 6603, 269, 2776, 2536, 2406, 267, 519, 3239, 19855, 1935, 2636, 3758, 12879, 609, 2543, 547, 4859, 267, 6771, 543, 519, 899, 269, 2334, 568, 267, 1510, 519, 23684, 6028, 519, 6885, 538, 799, 519, 10518, 568, 10268, 267, 519, 1505, 23295, 2636, 6119, 547, 581, 5697, 585, 12879, 4238, 971, 607, 2242, 538, 17835, 4859, 11065, 6020, 9128, 23370, 31304, 303, 3582, 5508, 5990, 667, 6938, 310, 5058, 306, 454, 16658, 269, 476, 272, 568, 606, 14745, 540, 513, 21370, 3593, 8818, 538, 13076, 609, 519, 1991, 1148, 563, 16658, 269, 476, 273, 568, 513, 28176, 14745, 540, 3758, 19855, 3268, 602, 616, 4553, 538, 13076, 609, 519, 1459, 8798, 563, 16658, 269, 476, 274, 568, 606, 14745, 540, 835, 6885, 540, 513, 21370, 3593, 8818, 585, 23684, 1790, 3789, 19855, 538, 13076, 609, 519, 8798, 540, 16658, 269, 476, 273, 563, 16658, 269, 476, 275, 568, 606, 14745, 540, 1585, 9486, 1369, 513, 21370, 3593, 8818, 14139, 519, 2553, 540, 16658, 269, 476, 274, 563, 16658, 269, 476, 276, 568, 513, 1184, 2095, 540, 3268, 602, 949, 581, 4553, 538, 13076, 609, 519, 8798, 563, 16658, 269, 476, 277, 568, 513, 16866, 3625, 6516, 540, 3334, 585, 7598, 519, 8798, 563, 16658, 269, 476, 278, 568, 606, 14745, 540, 513, 1297, 540, 1930, 18376, 9486, 593, 513, 2780, 6895, 267, 538, 13076, 609, 519, 1991, 1148, 1935, 563, 16658, 269, 476, 279, 568, 606, 14745, 540, 519, 2780, 6895, 540, 16658, 269, 476, 278, 267, 855, 609, 513, 6885, 19855, 10518, 538, 13076, 609, 519, 1459, 8798, 6185, 4953, 288, 6579, 3633, 23370, 31304, 303, 3582, 454, 2060, 4704, 547, 16658, 269, 476, 273, 267, 606, 968, 5562, 3556, 23637, 892, 476, 2420, 568, 3254, 607, 2348, 2947, 2592, 476, 2190, 267, 476, 2918, 267, 476, 2764, 267, 476, 1789, 543, 476, 3953, 269, 634, 2592, 8831, 25241, 958, 543, 1683, 513, 8226, 540, 15493, 1189, 2592, 1373, 13148, 4988, 676, 4464, 2592, 267, 865, 602, 1152, 519, 19466, 3239, 476, 2190, 568, 3254, 538, 922, 30810, 269, 3962, 540, 519, 2592, 4564, 4159, 1344, 540, 513, 3965, 3613, 1819, 6221, 267, 971, 607, 3239, 6119, 538, 1875, 19581, 8684, 3965, 610, 8118, 18376, 9486, 689, 19979, 3965, 630, 12690, 1569, 3965, 1040, 634, 8798, 786, 581, 4330, 5097, 538, 519, 20032, 538, 799, 519, 3965, 3613, 1819, 3688, 616, 3239, 6119, 267, 971, 607, 3059, 11147, 269, 1717, 267, 824, 3156, 540, 519, 8798, 786, 581, 4330, 2630, 563, 4595, 519, 3742, 3556, 23637, 476, 2420, 568, 11231, 971, 602, 1142, 3239, 476, 2190, 268, 3953, 568, 693, 2547, 13148, 6534, 267, 513, 4159, 12835, 267, 971, 607, 513, 23684, 267, 949, 581, 6410, 883, 9228, 3346, 609, 1022, 835, 540, 519, 2592, 269, 634, 2592, 949, 581, 4330, 607, 1101, 7400, 2592, 269, 1717, 267, 950, 519, 23684, 568, 4547, 883, 3346, 609, 835, 540, 519, 2592, 267, 513, 2034, 7400, 3239, 568, 4646, 269, 4935, 267, 519, 3556, 23637, 568, 513, 6422, 10518, 602, 568, 26203, 8806, 676, 3350, 540, 519, 23684, 5196, 519, 10518, 269, 898, 568, 711, 2556, 547, 968, 28781, 892, 519, 3926, 602, 6354, 12885, 519, 23684, 630, 324, 3052, 1421, 513, 10856, 264, 610, 547, 11578, 513, 13691, 1883, 560, 6593, 269, 769, 519, 4099, 6712, 540, 16658, 269, 476, 273, 267, 513, 23684, 476, 4097, 568, 3254, 607, 1373, 17479, 936, 519, 2034, 3239, 476, 2918, 269, 901, 3123, 513, 2034, 7400, 3239, 547, 581, 6383, 538, 513, 2990, 15558, 689, 519, 3312, 2990, 269, 769, 519, 20032, 602, 786, 581, 4330, 609, 4704, 547, 16658, 306, 269, 476, 274, 543, 476, 275, 267, 519, 1101, 7400, 3239, 568, 12873, 543, 519, 2034, 7400, 3239, 568, 3254, 538, 922, 30810, 269, 17859, 540, 2436, 519, 1935, 540, 16658, 269, 476, 273, 610, 519, 1935, 540, 16658, 306, 269, 476, 274, 543, 476, 275, 568, 8246, 267, 519, 6071, 1065, 3789, 532, 540, 519, 23684, 3123, 519, 10518, 547, 581, 9168, 547, 606, 968, 716, 17300, 3556, 23637, 892, 476, 3607, 563, 1403, 519, 23684, 476, 4097, 568, 1085, 10165, 2066, 519, 2592, 476, 2190, 268, 3953, 2059, 513, 2619, 538, 799, 519, 23684, 568, 18615, 569, 13988, 609, 519, 2592, 267, 513, 7222, 5311, 540, 2034, 7400, 2592, 786, 581, 4843, 547, 513, 21951, 269, 769, 713, 6073, 267, 1142, 540, 519, 2592, 476, 2190, 268, 3953, 666, 581, 12649, 585, 1543, 1510, 8506, 513, 16625, 1448, 7146, 26487, 1184, 563, 634, 1297, 540, 2592, 1369, 519, 3312, 3556, 23637, 476, 2420, 949, 581, 6378, 610, 949, 581, 5697, 676, 519, 3593, 269, 1403, 519, 1297, 540, 2592, 476, 2190, 268, 3953, 568, 1447, 982, 519, 2698, 1297, 540, 2592, 602, 666, 581, 8202, 539, 267, 519, 9053, 20032, 2636, 4797, 19855, 1510, 8506, 513, 3593, 3403, 3564, 519, 17568, 540, 519, 23684, 476, 4097, 269, 1280, 1383, 267, 952, 519, 23684, 476, 4097, 568, 4092, 5612, 547, 519, 1318, 540, 519, 3556, 23637, 476, 3607, 267, 607, 9763, 538, 16658, 269, 476, 273, 267, 519, 1985, 15410, 540, 2592, 476, 4343, 267, 476, 2412, 267, 476, 5655, 267, 476, 4510, 543, 476, 5379, 568, 5189, 607, 513, 2034, 3742, 3556, 23637, 476, 4366, 269, 1280, 519, 3483, 540, 4227, 519, 10171, 602, 513, 1007, 3556, 23637, 786, 581, 5189, 16662, 1549, 958, 267, 972, 1058, 581, 513, 12939, 942, 585, 519, 17568, 540, 519, 23684, 1354, 519, 3556, 23637, 568, 4957, 269, 5047, 267, 10518, 3562, 3613, 871, 1213, 13586, 543, 3526, 13586, 24069, 949, 581, 4646, 547, 519, 1318, 543, 2451, 540, 519, 3556, 23637, 267, 6606, 267, 607, 786, 581, 4330, 609, 4704, 547, 16658, 269, 476, 274, 269, 1635, 17568, 519, 23684, 476, 4097, 936, 519, 3526, 13586, 12835, 267, 519, 3556, 23637, 476, 4366, 949, 581, 759, 889, 560, 21114, 609, 519, 3312, 3556, 23637, 476, 2420, 563, 28582, 2590, 1631, 547, 16658, 269, 476, 274, 267, 513, 10518, 476, 2004, 540, 1101, 7400, 2592, 476, 7367, 267, 476, 7918, 267, 476, 6321, 267, 476, 6812, 543, 476, 2568, 568, 3254, 538, 3152, 1469, 269, 589, 23684, 476, 7830, 568, 538, 9228, 3346, 609, 519, 4099, 3239, 476, 6321, 267, 4929, 513, 2034, 7400, 3239, 476, 5038, 547, 581, 6383, 269, 9521, 16658, 269, 476, 273, 267, 519, 2034, 7400, 3239, 476, 5038, 568, 3254, 538, 922, 30810, 269, 901, 568, 519, 9053, 20032, 267, 855, 568, 711, 2565, 269, 1306, 666, 581, 2938, 267, 513, 6190, 6712, 540, 1142, 1101, 7400, 3239, 476, 7367, 268, 2568, 568, 6534, 547, 1450, 513, 3593, 547, 8415, 519, 6534, 13980, 607, 544, 26937, 4577, 3457, 269, 1306, 519, 1297, 540, 2592, 538, 519, 10518, 568, 2799, 267, 519, 5223, 540, 519, 6534, 6712, 547, 519, 6772, 11474, 6712, 786, 6175, 267, 855, 519, 1871, 540, 519, 544, 26937, 4577, 5351, 949, 581, 2799, 267, 2094, 972, 786, 581, 811, 2592, 547, 2015, 563, 634, 6885, 476, 5780, 538, 799, 519, 10518, 476, 2004, 29084, 2882, 513, 10518, 3562, 3613, 871, 1213, 13586, 12835, 476, 6924, 543, 513, 10518, 3562, 3613, 871, 3526, 13586, 12835, 476, 3583, 269, 1635, 17568, 519, 23684, 476, 7830, 538, 12972, 609, 519, 1213, 13586, 12835, 476, 6924, 585, 513, 1305, 1974, 540, 942, 267, 513, 2034, 10518, 786, 581, 4843, 547, 519, 3593, 269, 1280, 1383, 267, 952, 972, 616, 476, 4037, 3059, 2592, 1369, 513, 5399, 267, 519, 3003, 5399, 786, 581, 10268, 538, 588, 2931, 540, 2947, 2592, 952, 519, 23684, 568, 2451, 538, 2990, 2059, 519, 1213, 13586, 12835, 476, 6924, 269, 769, 519, 9053, 20032, 267, 1142, 3239, 538, 513, 10518, 568, 10268, 607, 513, 2034, 7400, 3239, 1354, 519, 10518, 568, 4957, 269, 4935, 267, 519, 1184, 786, 11571, 998, 782, 476, 4037, 2592, 538, 519, 5399, 269, 634, 3526, 13586, 12835, 476, 3583, 13333, 538, 519, 9258, 6073, 269, 26840, 958, 267, 519, 9013, 2780, 1982, 568, 27358, 547, 1450, 8216, 1213, 13586, 610, 3526, 13586, 676, 14467, 519, 2780, 10856, 950, 519, 23684, 476, 7830, 29084, 593, 519, 3617, 12835, 476, 6924, 610, 476, 3583, 563, 769, 1840, 547, 519, 4159, 540, 519, 2034, 7400, 3239, 476, 5038, 267, 17568, 519, 23684, 476, 7830, 538, 9228, 3346, 609, 519, 6534, 3148, 540, 519, 1101, 7400, 3239, 476, 6321, 12153, 519, 4159, 540, 3758, 1344, 476, 7761, 3823, 519, 3239, 269, 634, 3758, 1344, 3254, 538, 16658, 269, 476, 274, 14439, 519, 4859, 4087, 543, 519, 2450, 540, 519, 3239, 269, 4033, 1344, 949, 581, 3769, 269, 1280, 3156, 538, 799, 519, 2592, 476, 7367, 268, 2568, 2099, 1357, 3817, 267, 519, 3758, 1344, 949, 581, 519, 15745, 338, 540, 519, 2592, 563, 28582, 2590, 1631, 547, 16658, 269, 476, 275, 267, 519, 6885, 476, 5780, 540, 16658, 269, 476, 274, 568, 3254, 607, 1373, 513, 5057, 540, 513, 21370, 3593, 8818, 476, 10619, 602, 2882, 1614, 824, 9486, 476, 10602, 267, 476, 4281, 543, 476, 3199, 269, 634, 6885, 476, 10602, 10525, 513, 3791, 7400, 3239, 476, 11025, 602, 14687, 547, 519, 2592, 476, 6321, 543, 476, 5038, 269, 2755, 519, 2034, 7400, 3239, 476, 5038, 568, 1098, 7480, 267, 2094, 621, 568, 6569, 676, 3001, 519, 23684, 476, 7830, 267, 519, 3791, 7400, 3239, 476, 11025, 786, 2611, 1310, 519, 5542, 540, 513, 10268, 10518, 814, 1044, 1213, 7757, 4464, 610, 3526, 7757, 15493, 1189, 269, 4935, 267, 519, 4159, 1369, 519, 6885, 476, 10602, 568, 711, 1759, 2390, 519, 1699, 4159, 540, 2592, 1369, 519, 6885, 476, 5780, 269, 634, 968, 2903, 532, 892, 540, 606, 3239, 883, 519, 6885, 476, 10602, 666, 581, 15427, 676, 513, 4999, 540, 3593, 1374, 725, 267, 971, 607, 23684, 17568, 543, 10856, 14467, 563, 634, 6885, 476, 4281, 6799, 513, 10624, 602, 568, 1031, 547, 2824, 519, 2592, 585, 8108, 519, 10268, 10518, 476, 2004, 1369, 519, 6885, 476, 5780, 269, 769, 519, 11609, 1383, 267, 519, 2592, 616, 6740, 538, 513, 17835, 476, 10019, 543, 519, 1101, 2000, 13554, 3239, 630, 328, 4318, 1421, 32764, 27516, 476, 272, 264, 814, 1044, 11280, 607, 519, 1101, 3239, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 300, 2117, 30781, 1446, 345, 1477, 258, 4905, 270, 1556, 270, 1691, 1477, 258, 28375, 476, 272, 269, 275, 5897, 15893, 815, 703, 9272, 2891, 921, 848, 679, 564, 337, 513, 1297, 1063, 476, 1015, 543, 476, 736, 8537, 281, 834, 264, 10142, 6112, 711, 476, 280, 283, 15893, 283, 2641, 6769, 825, 1297, 815, 703, 9272, 2891, 921, 848, 679, 2678, 513, 1732, 1297, 281, 834, 264, 10142, 2745, 2891, 628, 3471, 14744, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 3698, 4017, 334, 3799, 2187, 567, 952, 562, 10922, 476, 272, 912, 11434, 2132, 562, 454, 567, 3116, 912, 11434, 2132, 6600, 756, 334, 3799, 268, 272, 264, 1341, 4017, 334, 3799, 268, 273, 11723, 333, 614, 916, 815, 476, 1789, 692, 258, 2638, 952, 519, 1297, 540, 2474, 568, 4570, 454, 604, 562, 614, 916, 10922, 476, 271, 912, 567, 1820, 2891, 303, 956, 324, 4283, 513, 2318, 8870, 5602, 12828, 912, 567, 1820, 2891, 293, 756, 20906, 5311, 281, 5602, 567, 585, 1775, 538, 2039, 3799, 614, 916, 2187, 11434, 1820, 4017, 334, 9217, 9239, 258, 952, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 258, 672, 4017, 517, 659, 1097, 6230, 664, 4590, 0, 5814, 1770, 11687, 692, 5228, 4152, 318, 3916, 1080, 1104, 2789, 318, 2017, 6275, 318, 639, 323, 267, 2789, 318, 2017, 6275, 21223, 1755, 267, 20789, 318, 2017, 6275, 267, 721, 323, 318, 2017, 6275, 7531, 5035, 17266, 292, 1755, 14818, 19111, 263, 684, 8636, 652, 11053, 652, 19111, 17107, 825, 1219, 1449, 318, 2017, 6275, 15220, 5190, 318, 1721, 318, 821, 20311, 15461, 21223, 1755, 4311, 2187, 1038, 1582, 27863, 16216, 1755, 318, 2017, 6275, 263, 272, 1070, 1547, 280, 2020, 825, 1219, 1449, 318, 2017, 6275, 15220, 5190, 318, 1721, 318, 821, 20311, 15461, 318, 639, 323, 4311, 2187, 1038, 1582, 27863, 263, 639, 323, 318, 2017, 6275, 263, 269, 280, 1070, 476, 272, 2020, 825, 1219, 1449, 318, 2017, 6275, 15220, 5190, 318, 1721, 19963, 20311, 318, 7474, 318, 13757, 19963, 318, 20657, 2711, 15461, 318, 21671, 318, 273, 318, 17541, 15461, 21223, 1755, 4311, 2187, 1038, 1582, 27863, 16216, 1755, 318, 2017, 6275, 263, 269, 9834, 1070, 1547, 10436, 2020, 825, 1219, 1449, 318, 2017, 6275, 15220, 5190, 318, 1721, 19963, 20311, 318, 7474, 318, 13757, 19963, 318, 20657, 2711, 15461, 318, 21671, 318, 273, 318, 17541, 15461, 318, 639, 323, 4311, 2187, 1038, 1582, 27863, 263, 639, 323, 318, 2017, 6275, 263, 269, 10436, 1070, 1547, 9834, 2020, 825, 1219, 20789, 15305, 318, 2017, 6275, 318, 26920, 318, 529, 318, 17463, 4311, 2187, 1038, 1582, 27863, 16216, 1755, 318, 2017, 6275, 8987, 1015, 1070, 910, 280, 2020, 825, 1219, 721, 323, 15305, 318, 2017, 6275, 318, 26920, 318, 529, 318, 17463, 4311, 2187, 1038, 1582, 27863, 16216, 1755, 318, 2017, 6275, 8987, 272, 1070, 910, 269, 280, 2020, 825, 1219, 20789, 15305, 318, 604, 318, 2254, 318, 534, 318, 15759, 518, 4311, 2187, 1038, 1582, 27863, 16216, 1755, 318, 2017, 6275, 2891, 320, 19823, 834, 6546, 781, 711, 513, 4570, 9304, 2179, 15419, 825, 1219, 20789, 15305, 318, 604, 318, 26920, 318, 13757, 318, 1415, 318, 10420, 3030, 4311, 2187, 1038, 1582, 27863, 16216, 1755, 318, 2017, 6275, 2891, 19823, 834, 6546, 781, 711, 513, 4570, 9304, 2179, 15419, 825, 1219, 721, 323, 15305, 318, 604, 318, 2254, 318, 534, 318, 15759, 518, 4311, 2187, 1038, 1582, 27863, 263, 639, 323, 318, 2017, 6275, 2891, 320, 19823, 834, 6546, 781, 711, 513, 4570, 9304, 2179, 15419, 825, 1219, 721, 323, 15305, 318, 604, 318, 26920, 318, 13757, 318, 1415, 318, 10420, 3030, 4311, 2187, 1038, 1582, 27863, 263, 639, 323, 318, 2017, 6275, 2891, 19823, 834, 6546, 781, 711, 513, 4570, 9304, 2179, 257, 9239, 5035, 13038, 292, 1755, 14818, 19111, 263, 684, 8636, 652, 11053, 652, 19111, 17107, 825, 1219, 1449, 318, 2017, 6275, 15220, 5190, 318, 1721, 318, 13367, 531, 5332, 13246, 318, 4958, 5281, 8217, 18425, 21223, 1755, 338, 4311, 2187, 1038, 1582, 27863, 9852, 738, 2118, 318, 2017, 6275, 21223, 1755, 8443, 272, 267, 476, 273, 267, 476, 274, 25818, 1496, 269, 280, 267, 476, 272, 269, 279, 267, 476, 273, 269, 278, 20285, 825, 1219, 1449, 318, 2017, 6275, 15220, 5190, 318, 1721, 318, 13367, 531, 5332, 13246, 318, 4958, 5281, 8217, 18425, 318, 639, 323, 4311, 2187, 1038, 1582, 27863, 9852, 738, 2118, 318, 2017, 6275, 318, 639, 323, 8443, 269, 280, 267, 476, 272, 269, 279, 267, 476, 273, 269, 278, 25818, 1496, 272, 267, 476, 273, 267, 476, 274, 20285, 825, 1219, 1449, 318, 2017, 6275, 15220, 5190, 318, 1721, 318, 13367, 531, 5332, 13246, 318, 4958, 5281, 8217, 18425, 21223, 1755, 338, 318, 5976, 318, 20657, 7769, 4311, 2187, 1038, 1582, 27863, 9852, 738, 2118, 318, 2017, 6275, 21223, 1755, 8443, 272, 269, 273, 267, 476, 5002, 269, 4037, 267, 476, 275, 269, 6858, 25818, 1496, 272, 269, 5400, 267, 476, 14378, 269, 6924, 267, 476, 275, 269, 736, 20285, 825, 1219, 1449, 318, 2017, 6275, 15220, 5190, 318, 1721, 318, 13367, 531, 5332, 13246, 318, 4958, 5281, 8217, 18425, 318, 639, 323, 318, 5976, 318, 20657, 7769, 4311, 2187, 1038, 1582, 27863, 9852, 738, 2118, 318, 2017, 6275, 318, 639, 323, 8443, 276, 269, 5379, 267, 476, 1015, 269, 2537, 25818, 1496, 277, 269, 5881, 267, 476, 1556, 269, 4391, 20285, 825, 1219, 20789, 15305, 318, 2017, 6275, 15220, 5190, 318, 1721, 318, 13367, 531, 5332, 13246, 318, 5976, 318, 24393, 4311, 2187, 1038, 1582, 27863, 9852, 738, 2118, 318, 2017, 6275, 21223, 1755, 8443, 272, 267, 476, 273, 267, 834, 320, 19312, 1070, 834, 6546, 781, 711, 513, 4570, 9304, 2179, 15419, 825, 1219, 721, 323, 15305, 318, 2017, 6275, 15220, 5190, 318, 1721, 318, 13367, 531, 5332, 13246, 318, 5976, 318, 24393, 4311, 2187, 1038, 1582, 27863, 9852, 738, 2118, 318, 2017, 6275, 318, 639, 323, 8443, 272, 267, 476, 273, 267, 834, 320, 19312, 1070, 834, 6546, 781, 711, 513, 4570, 9304, 2179, 15419, 0, 258, 272, 269, 2843, 510, 3264, 3522, 20434, 13194, 13833, 28476, 17095, 20977, 4736, 4736, 9924, 281, 16044, 482, 4138, 15671, 7846, 13077, 267, 17095, 31589, 15671, 267, 29824, 9326, 9261, 3378, 7846, 15671, 17201, 9841, 17221, 7549, 267, 17095, 27593, 9686, 13077, 4344, 23228, 258, 2843, 504, 20977, 4736, 4736, 9924, 18194, 17201, 21833, 21162, 10780, 16417, 9686, 3378, 13150, 3522, 8563, 31124, 31224, 20413, 20046, 19757, 9924, 6769, 258, 268, 10780, 17201, 7846, 10948, 23845, 3264, 16044, 484, 12811, 4344, 13077, 1477, 258, 268, 10780, 17201, 7846, 10948, 23845, 3264, 10780, 21268, 4138, 9261, 20046, 13077, 1477, 258, 268, 10780, 17201, 7846, 10948, 23845, 3264, 10780, 6459, 3378, 27569, 3522, 9686, 4138, 5897, 5035, 22955, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 8029, 1038, 1780, 1477, 825, 1219, 1205, 318, 1417, 337, 3287, 11971, 8029, 1038, 2132, 630, 343, 11971, 10142, 5035, 18471, 263, 8993, 999, 8029, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 267, 2234, 8029, 1038, 2706, 14061, 1029, 8181, 9191, 343, 11971, 10142, 825, 1219, 1205, 30648, 22015, 337, 263, 2784, 8029, 1038, 829, 815, 2234, 265, 273, 265, 274, 269, 1691, 1477, 1038, 2132, 829, 5897, 825, 1219, 1205, 5334, 638, 263, 2784, 8029, 1038, 2695, 815, 476, 274, 269, 1691, 265, 2784, 1262, 273, 1477, 1038, 2132, 2695, 5897, 5035, 623, 1090, 308, 326, 565, 263, 8993, 999, 8029, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 267, 513, 267, 536, 8029, 1038, 2706, 14061, 1029, 8181, 9191, 343, 11971, 10142, 825, 1219, 1205, 30648, 22015, 337, 5416, 14720, 8029, 1038, 829, 815, 630, 320, 17070, 12684, 273, 1477, 1038, 2132, 829, 5897, 825, 1219, 1205, 5334, 638, 5416, 14720, 8029, 1038, 2695, 815, 513, 265, 321, 1477, 1038, 2132, 2695, 24653, 5035, 12384, 263, 8993, 999, 8029, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 267, 513, 8029, 1038, 2706, 14061, 1029, 8181, 9191, 343, 11971, 10142, 825, 1219, 1205, 30648, 22015, 337, 5416, 8029, 1038, 829, 815, 476, 275, 265, 320, 1477, 1038, 2132, 829, 5897, 825, 1219, 1205, 5334, 638, 5416, 8029, 1038, 2695, 815, 513, 1262, 273, 1477, 1038, 2132, 2695, 24653, 325, 815, 18471, 10947, 30648, 22015, 337, 263, 272, 3418, 2745, 630, 325, 3418, 325, 815, 18471, 10947, 318, 1417, 337, 263, 273, 267, 272, 3418, 2745, 630, 325, 3418, 325, 815, 18471, 10947, 5334, 638, 263, 273, 3418, 2745, 630, 325, 10142, 325, 815, 623, 1090, 308, 326, 565, 10947, 30648, 22015, 337, 263, 272, 267, 274, 3418, 2745, 630, 325, 3418, 325, 815, 623, 1090, 308, 326, 565, 10947, 318, 1417, 337, 263, 273, 267, 272, 3418, 2745, 630, 325, 3418, 325, 815, 623, 1090, 308, 326, 565, 10947, 5334, 638, 263, 273, 267, 274, 3418, 2745, 630, 325, 10142, 325, 815, 12384, 10947, 30648, 22015, 337, 263, 272, 3418, 2745, 630, 325, 3418, 325, 815, 12384, 10947, 318, 1417, 337, 263, 273, 267, 272, 3418, 2745, 630, 325, 3418, 325, 815, 12384, 10947, 5334, 638, 263, 273, 3418, 2745, 630, 325, 3418, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 5228, 23510, 7272, 340, 14794, 1104, 10658, 14794, 454, 5228, 23510, 7272, 340, 14794, 269, 14607, 3596, 332, 1104, 3493, 628, 21918, 1243, 267, 3493, 628, 21918, 1243, 13286, 7531, 5035, 594, 614, 894, 28308, 2287, 20573, 3704, 21918, 1243, 2187, 825, 8173, 825, 23840, 540, 519, 8818, 9612, 609, 519, 594, 614, 894, 12213, 2287, 5690, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 2332, 7272, 340, 14794, 281, 10658, 14794, 267, 3970, 281, 703, 815, 476, 276, 267, 1900, 281, 703, 815, 476, 274, 264, 9847, 7183, 912, 1038, 5727, 22873, 658, 1125, 519, 1362, 692, 1038, 2433, 12407, 2332, 7272, 340, 14794, 281, 519, 11015, 649, 1616, 547, 4194, 563, 1038, 2433, 6943, 2332, 7272, 340, 14794, 2433, 10658, 14794, 454, 1038, 2433, 12407, 3970, 281, 519, 3970, 3193, 540, 519, 3178, 585, 519, 1101, 21767, 454, 1038, 2433, 6943, 3970, 2433, 703, 454, 1038, 2433, 12407, 1900, 281, 519, 1900, 945, 2333, 519, 3970, 693, 1142, 21767, 454, 1038, 2433, 6943, 1900, 2433, 703, 454, 1038, 8173, 1038, 2706, 14061, 1029, 8181, 9191, 8181, 7272, 340, 14794, 267, 3970, 994, 1038, 1582, 14714, 788, 815, 1900, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 264, 9847, 1193, 912, 1038, 2132, 834, 296, 614, 894, 12213, 2287, 3493, 628, 268, 5575, 9612, 5016, 825, 1219, 4194, 4311, 264, 9847, 7183, 912, 1038, 5727, 1607, 1505, 4194, 519, 11015, 543, 4688, 519, 2619, 547, 798, 621, 780, 1038, 898, 2132, 4986, 267, 855, 6445, 538, 1582, 4732, 1828, 609, 519, 1434, 2619, 563, 1038, 8173, 1038, 1267, 815, 3493, 628, 21918, 1243, 13286, 5861, 7473, 302, 13697, 454, 1038, 1582, 4732, 1828, 815, 11713, 1038, 1582, 269, 10339, 663, 539, 5332, 3941, 815, 476, 271, 476, 1948, 4831, 540, 9450, 9136, 454, 1038, 1582, 2593, 14658, 640, 8548, 25514, 815, 476, 272, 454, 1038, 1247, 1267, 281, 476, 1948, 1247, 1100, 3070, 630, 810, 1247, 1267, 568, 513, 3493, 628, 6441, 574, 1243, 18438, 994, 2018, 1267, 815, 1582, 11519, 516, 15479, 633, 4311, 4877, 340, 14794, 267, 1582, 269, 3916, 527, 267, 476, 272, 264, 476, 1948, 1289, 513, 667, 11862, 3406, 454, 2018, 1582, 269, 3916, 527, 6834, 1582, 14714, 788, 476, 1948, 2333, 519, 3970, 454, 1038, 1582, 4732, 1828, 18622, 2091, 4590, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 5228, 6449, 325, 1956, 1029, 1104, 14391, 725, 692, 5228, 17511, 1104, 5742, 692, 5228, 23510, 7272, 340, 14794, 1104, 10658, 14794, 454, 5228, 23510, 7272, 340, 14794, 269, 14607, 3596, 332, 1104, 9612, 7531, 5035, 31538, 21798, 263, 15507, 2187, 825, 8173, 825, 23840, 540, 519, 8818, 9612, 609, 519, 31538, 8779, 5690, 563, 825, 29185, 825, 1219, 6449, 516, 1440, 9191, 1345, 264, 9847, 1193, 912, 1038, 2132, 834, 4462, 6134, 4211, 739, 9612, 5016, 825, 1219, 4194, 4311, 264, 9847, 7183, 912, 1038, 5727, 1607, 1505, 4194, 519, 11015, 543, 4688, 519, 2619, 547, 798, 621, 780, 1038, 898, 2132, 4986, 267, 855, 6445, 538, 1582, 4732, 1828, 609, 519, 1434, 2619, 563, 1038, 8173, 1038, 20313, 815, 20886, 1345, 4877, 340, 14794, 14963, 476, 1948, 3355, 1436, 540, 519, 8473, 454, 1038, 9450, 815, 32582, 476, 1948, 1592, 540, 9136, 9450 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 633, 2707, 540, 1648, 1510, 1022, 5533, 1198, 593, 519, 5790, 269, 12207, 723, 25282, 1797, 547, 8415, 3859, 1648, 689, 519, 3141, 12345, 547, 3002, 1216, 267, 3434, 6980, 543, 2196, 1978, 6191, 563, 268, 10281, 19172, 10431, 1379, 2433, 898, 568, 6383, 689, 519, 15452, 1648, 540, 1216, 9991, 689, 1390, 15627, 269, 589, 1297, 540, 1379, 10473, 616, 3964, 538, 3127, 593, 513, 1297, 540, 8933, 543, 12324, 799, 5352, 5201, 689, 1216, 269, 7256, 29500, 616, 849, 1031, 607, 513, 2707, 540, 19558, 1077, 630, 339, 10537, 1648, 1916, 268, 2983, 18540, 1648, 2433, 769, 930, 4025, 267, 519, 12699, 1216, 2501, 547, 519, 3618, 779, 2627, 607, 3905, 5614, 269, 7316, 591, 2139, 621, 666, 581, 1031, 547, 3002, 5656, 543, 3132, 5122, 1379, 269, 898, 568, 1572, 24232, 1648, 610, 1379, 563, 268, 6489, 1379, 2433, 6489, 332, 1571, 723, 1044, 1031, 585, 5553, 607, 513, 2707, 540, 1379, 547, 20836, 9274, 543, 6802, 1216, 269, 1809, 267, 519, 2179, 540, 2842, 543, 922, 8653, 9775, 4922, 689, 1747, 547, 1747, 543, 689, 268, 4005, 547, 4005, 269, 4475, 267, 2842, 332, 1571, 616, 1732, 14018, 585, 930, 1858, 982, 585, 824, 563, 268, 17437, 1648, 2433, 898, 568, 5833, 689, 12760, 610, 31612, 540, 8444, 540, 1978, 2609, 269, 17437, 12760, 3322, 519, 12760, 540, 519, 22140, 540, 1079, 8444, 3079, 540, 519, 24590, 540, 8444, 602, 4386, 538, 6046, 31612, 269, 634, 1267, 568, 519, 5305, 540, 11999, 9424, 540, 1648, 269, 590, 5902, 1154, 540, 519, 476, 272, 993, 340, 540, 28800, 1756, 268, 20720, 666, 5352, 1648, 6697, 547, 602, 3489, 762, 1106, 8781, 540, 1428, 11973, 9748, 540, 5755, 610, 827, 476, 1691, 29054, 540, 19020, 3282, 269, 769, 3127, 267, 10570, 1379, 10473, 616, 4092, 538, 20579, 777, 584, 630, 289, 4861, 599, 1070, 2282, 918, 7974, 538, 14076, 553, 22474, 267, 17833, 335, 752, 330, 600, 538, 20474, 24385, 340, 543, 23902, 7702, 538, 31579, 541, 21423, 563, 268, 667, 2426, 1648, 2433, 595, 4490, 546, 2426, 25394, 616, 4922, 1031, 585, 5986, 543, 8022, 538, 6917, 2127, 540, 3127, 269, 589, 1007, 4480, 267, 519, 979, 8663, 3154, 2030, 610, 1979, 30757, 814, 1044, 2919, 538, 3127, 269, 769, 713, 2030, 4195, 12418, 546, 2426, 568, 3773, 547, 3132, 606, 5212, 712, 1652, 1970, 2604, 3154, 269, 901, 3154, 666, 581, 1031, 585, 5986, 543, 8022, 269, 634, 21225, 568, 1031, 607, 23226, 563, 268, 8381, 1648, 2433, 8381, 568, 849, 1031, 607, 519, 1034, 1455, 2707, 540, 1648, 538, 14252, 540, 3127, 563, 268, 28966, 7250, 2433, 898, 568, 513, 5533, 1863, 2707, 540, 1648, 269, 898, 814, 513, 1434, 19175, 563, 288, 4437, 14459, 15944, 568, 513, 2189, 543, 11347, 5117, 540, 18714, 543, 9381, 2127, 799, 616, 18368, 18931, 1369, 519, 5943, 540, 20648, 781, 2494, 543, 4437, 14459, 630, 300, 5723, 264, 19510, 563, 2467, 616, 476, 1691, 4437, 14459, 1763, 12883, 538, 3127, 630, 8368, 267, 7612, 1040, 9050, 4437, 14459, 1763, 12883, 267, 12077, 630, 328, 264, 715, 559, 326, 21105, 6902, 630, 4512, 264, 715, 7701, 8061, 328, 282, 630, 13839, 264, 2672, 837, 321, 753, 282, 543, 630, 643, 264, 13323, 540, 28553, 541, 723, 1044, 18931, 676, 519, 20648, 593, 2622, 454, 15187, 1740, 540, 4437, 14459, 1763, 12883, 563, 11243, 540, 519, 454, 294, 5285, 540, 28553, 541, 454, 8512, 540, 530, 2106, 611, 267, 18491, 541, 23346, 267, 17020, 760, 584, 543, 631, 644, 636, 531, 2967, 31016, 31540, 994, 8512, 540, 16422, 10008, 267, 623, 603, 528, 26196, 327, 543, 31471, 7702, 1253, 878, 630, 308, 1777, 541, 21423, 264, 543, 851, 540, 12275, 334, 22193, 630, 300, 1122, 1695, 531, 11535, 994, 8512, 540, 12275, 334, 22193, 630, 9288, 724, 531, 11535, 994, 8512, 540, 918, 758, 571, 329, 9618, 267, 645, 784, 320, 27004, 517, 267, 4446, 7065, 320, 267, 715, 531, 321, 926, 267, 21919, 745, 543, 667, 1551, 836, 1253, 339, 597, 551, 338, 630, 10112, 600, 994, 8512, 540, 18232, 540, 717, 5190, 543, 23347, 14090, 583, 571, 5757, 1062, 630, 26156, 19377, 994, 24465, 851, 540, 13323, 540, 28553, 541, 1063, 3127, 543, 16444, 20092, 630, 307, 7056, 24385, 340, 994, 306, 719, 615, 2865, 10195, 540, 519, 1656, 16120, 543, 12832, 984, 541, 630, 288, 1299, 715, 11866, 994, 8512, 540, 2904, 7875, 7315, 329, 8664, 630, 7775, 20811, 994, 8512, 540, 667, 756, 2607, 541, 327, 543, 570, 1231, 4157, 807, 13102, 630, 10112, 600, 994, 8512, 540, 521, 21628, 543, 13891, 836, 14860, 538, 1488, 684, 778, 531, 21423, 454, 8512, 338, 540, 3345, 543, 4639, 31881, 330, 574, 454, 8512, 338, 540, 5975, 592, 267, 670, 9655, 836, 21171, 543, 932, 785, 342, 4673, 13102, 540, 8496, 27256, 21423, 454, 13070, 553, 20321, 600, 531, 2967, 22193, 538, 29242, 454, 8512, 338, 540, 1323, 1575, 584, 543, 667, 785, 9461, 8664, 540, 12463, 543, 2694, 540, 454, 289, 559, 5684, 584, 8664, 540, 932, 1002, 26385, 3258, 327, 0, 4338, 2296, 5678, 543, 23531, 21909, 539, 2542, 942, 1765, 476, 1428, 3764, 21909, 539, 1603, 942, 1765, 476, 2412, 3764, 454, 17445, 687, 281, 634, 1739, 2243, 568, 1759, 593, 519, 18913, 5722, 2959, 563, 1607, 2243, 3340, 596, 547, 30075, 513, 3099, 540, 2959, 883, 513, 17396, 267, 1134, 27787, 1557, 269, 1879, 596, 30075, 2959, 596, 3277, 547, 873, 547, 1020, 707, 2990, 543, 13712, 873, 8308, 269, 2659, 4661, 1058, 581, 3844, 282, 519, 2959, 1058, 1489, 713, 4661, 269, 3680, 8806, 28388, 2959, 269, 5457, 547, 14487, 1312, 1463, 543, 9940, 14327, 563, 1103, 15230, 2249, 616, 1875, 333, 894, 2371, 543, 2831, 602, 8853, 3544, 540, 741, 2067, 2039, 543, 949, 2800, 610, 1439, 9734, 5065, 2371, 543, 2831, 269, 1306, 12696, 543, 6800, 538, 938, 2518, 2486, 267, 649, 1860, 543, 616, 4299, 676, 2249, 5189, 18417, 610, 17543, 547, 513, 3148, 269, 17497, 267, 930, 1004, 8044, 585, 31749, 6042, 540, 16865, 2249, 547, 2057, 519, 7872, 540, 26516, 2942, 4539, 269, 11524, 267, 2705, 267, 3409, 602, 519, 11615, 543, 2596, 2200, 540, 25013, 6082, 1223, 581, 4824, 676, 16496, 1104, 566, 540, 1875, 333, 894, 2249, 563, 5649, 519, 1739, 2959, 630, 10175, 1022, 2606, 1344, 264, 5402, 269, 3973, 2328, 606, 1557, 538, 799, 596, 6218, 1018, 513, 1870, 610, 2229, 8116, 1131, 991, 547, 2015, 1354, 22151, 513, 25836, 855, 1875, 785, 4246, 2249, 547, 1776, 2197, 269, 16522, 1127, 1125, 693, 2547, 1614, 540, 519, 2959, 585, 1489, 563, 8269, 518, 547, 519, 2959, 676, 741, 10643, 630, 13126, 589, 267, 11905, 645, 267, 3092, 4700, 610, 676, 519, 11673, 538, 519, 24324, 563, 20124, 25201, 269, 968, 27154, 12833, 19470, 543, 11202, 11077, 1848, 634, 6820, 12833, 5297, 15661, 19541, 269, 634, 7186, 20271, 3599, 476, 1220, 276, 269, 476, 2764, 4989, 476, 1220, 277, 454, 763, 1739, 568, 513, 8523, 540, 536, 1023, 600, 535, 597, 4054, 7166, 676, 606, 23588, 540, 536, 1023, 600, 15144, 569, 740, 601, 326, 1749, 267, 7786, 18417, 16865, 547, 519, 2136, 2276, 689, 2342, 563, 6262, 264, 3627, 11969, 718, 454, 291, 344, 21353, 267, 22216, 2643, 22118, 269, 968, 1103, 15230, 15661, 281, 634, 9612, 585, 10298, 1848, 12713, 16631, 476, 7918, 269, 278, 630, 1220, 275, 1916, 763, 1739, 568, 606, 21626, 689, 513, 2257, 4760, 269, 16568, 267, 513, 10194, 7929, 4576, 267, 568, 10299, 676, 1268, 3562, 16512, 3346, 269, 3689, 4080, 538, 5607, 538, 5988, 476, 1220, 274, 267, 519, 4576, 3262, 936, 519, 1985, 1906, 3275, 547, 811, 982, 1079, 18797, 2477, 538, 3345, 3013, 267, 3162, 3013, 267, 2342, 267, 543, 5607, 269, 4438, 519, 16568, 12176, 540, 476, 1220, 274, 267, 513, 2698, 540, 476, 3199, 280, 279, 1004, 5001, 2968, 7210, 267, 2687, 547, 519, 2622, 2657, 9257, 282, 540, 891, 267, 476, 6507, 275, 5747, 269, 769, 519, 2136, 2276, 267, 972, 941, 476, 4572, 7783, 2043, 267, 782, 540, 7247, 16626, 269, 5398, 1072, 8387, 1031, 10072, 543, 31741, 3800, 547, 1852, 519, 12176, 540, 713, 11763, 2068, 563, 3719, 519, 1650, 3085, 1406, 1439, 972, 269, 2201, 476, 1724, 5130, 476, 1220, 275, 267, 519, 2475, 4972, 540, 2657, 543, 5274, 7896, 17049, 1104, 1993, 322, 633, 1206, 1765, 20791, 13906, 3697, 332, 2459, 1023, 22366, 339, 582, 1335, 784, 5366, 663, 333, 894, 1729, 22152, 320, 663, 1492, 292, 770, 5715, 625, 1765, 31347, 9800, 610, 4666, 269, 8187, 3662, 18318, 267, 621, 7140, 856, 267, 1397, 513, 2362, 11841, 540, 4598, 547, 519, 16568, 3644, 269, 1403, 3425, 666, 10536, 3968, 2047, 689, 2831, 899, 524, 633, 1206, 267, 3744, 1589, 267, 16568, 949, 723, 1044, 5189, 547, 1007, 2127, 676, 2789, 11507, 269, 634, 31268, 26582, 538, 713, 2013, 286, 1323, 3592, 28222, 1950, 1357, 540, 4205, 1851, 3425, 267, 2831, 267, 543, 17407, 1765, 543, 606, 28354, 2810, 1297, 540, 11507, 8744, 873, 1927, 538, 13778, 2338, 269, 634, 1797, 286, 4643, 525, 267, 14884, 267, 9635, 267, 543, 2246, 558, 24213, 563, 295, 1168, 8636, 267, 932, 611, 700, 1421, 3057, 22448, 700, 269, 23720, 267, 543, 5153, 7315, 717, 3326, 553, 577, 269, 1325, 1329, 15661, 538, 13985, 20628, 281, 19047, 585, 13786, 1043, 2422, 269, 717, 1633, 267, 16848, 281, 4139, 5742, 585, 11094, 540, 7186, 543, 7849, 8249, 267, 476, 1220, 277, 563, 763, 1739, 21626, 568, 3144, 689, 513, 960, 602, 12116, 519, 2259, 540, 8105, 12084, 269, 634, 1480, 2551, 814, 20546, 539, 476, 277, 5479, 1004, 630, 8201, 476, 272, 1070, 609, 2810, 12503, 5116, 593, 5989, 267, 1426, 3354, 543, 2825, 2200, 630, 18250, 300, 7865, 531, 267, 476, 1220, 272, 1040, 1547, 1547, 1547, 21673, 725, 585, 29867, 1496, 325, 5109, 543, 8105, 519, 4262, 316, 547, 2333, 922, 9295, 547, 519, 1158, 779, 2504, 540, 12748, 1426, 616, 1360, 1164, 267, 543, 972, 568, 849, 4126, 602, 29867, 786, 3136, 547, 7794, 922, 1909, 538, 7700, 547, 1426, 3354, 543, 6710, 10970, 2747, 538, 1082, 3384, 2477, 269, 13985, 20628, 3091, 3255, 547, 13468, 6710, 267, 2333, 7694, 543, 2146, 1646, 267, 2569, 21467, 343, 680, 334, 2787, 540, 2067, 9381, 2200, 267, 543, 1020, 1426, 3354, 267, 4481, 538, 3384, 2477, 563, 18814, 547, 713, 5001, 2810, 3747, 585, 12748, 1426, 2472, 267, 29867, 568, 1631, 835, 540, 519, 1034, 1271, 543, 16595, 3395, 9922, 1369, 519, 21996, 5823, 267, 4481, 585, 7286, 29867, 2238, 269, 4107, 540, 2518, 29867, 3977, 568, 3812, 538, 3384, 2477, 267, 543, 267, 3648, 267, 1970, 13867, 1426, 12413, 7228, 2477, 269, 1717, 267, 621, 568, 849, 6444, 602, 29867, 13315, 513, 1360, 2647, 2039, 540, 1114, 8105, 2853, 609, 2543, 547, 2249, 630, 10175, 4262, 933, 2644, 267, 30114, 639, 14369, 267, 12933, 30702, 267, 3165, 543, 824, 12748, 2249, 2516, 1070, 5054, 543, 1949, 267, 1419, 609, 1360, 3982, 4199, 946, 3270, 267, 5356, 513, 2647, 2039, 540, 3681, 585, 29159, 540, 18817, 585, 8476, 1426, 2504, 543, 4747, 5108, 538, 1082, 6917, 543, 31971, 268, 18076, 2127, 563, 1103, 1931, 547, 6385, 543, 1942, 13716, 1947, 1020, 543, 4129, 1518, 29867, 4690, 267, 5010, 16904, 538, 1896, 2477, 723, 5828, 547, 840, 268, 4540, 29867, 2249, 689, 824, 4525, 267, 971, 607, 519, 5545, 744, 344, 3122, 267, 630, 290, 14993, 739, 16699, 17254, 553, 1070, 519, 9533, 20363, 267, 630, 21946, 15879, 2892, 541, 1070, 543, 519, 4993, 705, 29671, 267, 630, 295, 531, 3999, 529, 8297, 325, 525, 322, 839, 1040, 1635, 1210, 891, 2249, 267, 1382, 543, 1646, 3790, 616, 6922, 2213, 998, 946, 540, 18246, 1382, 543, 1646, 17016, 269, 6684, 267, 891, 1007, 16904, 666, 3351, 1047, 840, 25365, 6990, 609, 1134, 3964, 6216, 3961, 547, 1711, 513, 811, 4028, 7443, 563, 763, 1739, 568, 606, 21626, 689, 513, 1433, 827, 519, 1764, 540, 16865, 2371, 543, 2831, 269, 30495, 10275, 3739, 17973, 5855, 6705, 782, 936, 519, 1158, 269, 1548, 789, 4250, 568, 1018, 5949, 1282, 519, 2038, 543, 4571, 268, 476, 1960, 271, 338, 547, 808, 10154, 543, 5548, 534, 31473, 543, 824, 13099, 11535, 25210, 593, 519, 8262, 6816, 540, 16127, 269, 634, 31473, 779, 476, 3583, 14092, 516, 3484, 6013, 827, 476, 274, 5195, 689, 519, 5836, 538, 513, 6917, 1858, 2282, 29518, 2129, 334, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 707, 12387, 1513, 610, 519, 8115, 267, 707, 11290, 1522, 2303, 606, 18106, 6676, 610, 513, 8115, 547, 7794, 707, 10265, 543, 2149, 621, 585, 1279, 3856, 946, 563, 291, 1581, 18032, 616, 711, 5078, 585, 3025, 269, 769, 6665, 7955, 1223, 581, 513, 1434, 4781, 950, 707, 10265, 568, 1507, 267, 610, 952, 723, 513, 1804, 7934, 269, 901, 568, 513, 1505, 540, 26936, 707, 4522, 609, 5959, 31750, 610, 513, 7301, 5694, 269, 2659, 1974, 2632, 626, 786, 2693, 4363, 769, 6665, 7955, 547, 2550, 945, 1810, 1405, 723, 2614, 2230, 1063, 741, 4522, 538, 1931, 547, 1489, 18032, 563, 2252, 596, 2907, 723, 7301, 4522, 610, 7202, 999, 267, 1287, 596, 949, 581, 24016, 547, 6467, 547, 15482, 1955, 17852, 952, 707, 11116, 3884, 1405, 3833, 1318, 269, 1411, 3513, 723, 547, 10929, 1896, 5711, 11400, 1354, 596, 666, 1747, 519, 15498, 269, 1403, 707, 18032, 616, 538, 1434, 3337, 267, 707, 1974, 2632, 626, 786, 2693, 4363, 1079, 4374, 540, 5711, 9882, 269, 2201, 2395, 950, 596, 5749, 1405, 4189, 267, 596, 786, 581, 5701, 609, 6822, 566, 543, 513, 1928, 330, 14525, 547, 4383, 707, 9636, 269, 634, 7301, 4522, 610, 7202, 999, 616, 2838, 547, 581, 6569, 543, 519, 18032, 786, 581, 5116, 883, 707, 14779, 563, 2026, 6362, 707, 2828, 543, 7622, 547, 4363, 513, 7008, 540, 5140, 5959, 9439, 547, 596, 2760, 9292, 1206, 630, 291, 550, 626, 1955, 17852, 14033, 2725, 1040, 1358, 1522, 917, 513, 5959, 19995, 602, 789, 4312, 1044, 10992, 856, 585, 513, 1279, 942, 543, 519, 835, 945, 814, 11108, 3028, 269, 898, 781, 849, 513, 1390, 2856, 547, 2307, 593, 15473, 593, 519, 4950, 910, 19239, 626, 13158, 902, 543, 17352, 14033, 2725, 269, 6481, 6643, 2228, 15473, 786, 1419, 723, 1945, 2404, 547, 25185, 563, 16352, 2965, 3681, 1281, 711, 10413, 269, 1306, 609, 1022, 824, 3028, 267, 596, 2811, 12394, 547, 1205, 519, 1655, 707, 6666, 666, 2709, 269, 5080, 325, 519, 5680, 269, 634, 4950, 786, 1683, 596, 609, 22973, 9623, 593, 519, 7907, 543, 24501, 540, 7986, 5959, 4966, 538, 519, 2749, 269, 4635, 519, 1357, 568, 606, 2653, 1259, 547, 1174, 513, 2603, 827, 519, 1114, 8925, 1510, 2695, 663, 1359, 1454, 942, 630, 20112, 29726, 19239, 626, 14033, 2725, 1916, 7775, 2638, 856, 930, 2442, 1072, 1416, 7740, 547, 1205, 513, 1592, 540, 7840, 269, 634, 3782, 4099, 4600, 1522, 1020, 930, 5963, 1390, 7840, 602, 666, 581, 12517, 2808, 630, 28770, 11765, 17925, 19239, 626, 14033, 2725, 1040, 13693, 606, 26966, 626, 610, 513, 1974, 2632, 626, 269, 1452, 4648, 786, 2285, 596, 519, 20923, 6351, 1644, 547, 12423, 606, 5140, 5959, 11285, 563, 10673, 1405, 19292, 547, 7662, 585, 606, 5920, 3330, 1010, 9036, 610, 519, 6514, 5624, 630, 16032, 19239, 626, 14033, 2725, 1040, 6258, 811, 827, 519, 4600, 910, 29119, 574, 2045, 19239, 626, 14033, 2725, 269, 1403, 596, 2811, 711, 635, 325, 344, 1472, 1010, 5234, 2818, 610, 952, 789, 5749, 1405, 6899, 1472, 596, 267, 3801, 547, 4308, 609, 1022, 13882, 910, 570, 332, 329, 19239, 626, 28154, 14033, 2725, 269, 1403, 596, 666, 711, 1205, 707, 1505, 1472, 713, 267, 621, 7654, 942, 547, 3406, 585, 513, 6216, 20642, 5959, 3318, 269, 19239, 626, 7046, 10432, 1742, 14033, 2725, 563, 4517, 11338, 798, 789, 1419, 10322, 559, 1125, 741, 2645, 543, 7405, 1739, 946, 286, 11162, 17349, 568, 4749, 513, 2462, 2460, 267, 543, 621, 568, 1318, 569, 865, 910, 7454, 966, 2940, 518, 19239, 626, 14033, 2725, 630, 301, 697, 19239, 626, 14033, 2725, 1040, 7102, 2564, 4274, 1590, 723, 513, 838, 1157, 543, 1974, 960, 1604, 2094, 1010, 3924, 7569, 865, 269, 19239, 626, 13158, 902, 543, 17352, 14033, 2725, 269, 1284, 1590, 7703, 538, 2247, 602, 649, 2811, 8600, 547, 1577, 513, 2698, 24928, 547, 798, 7500, 538, 938, 28182, 267, 602, 865, 4386, 547, 581, 835, 540, 519, 1034, 8101, 3344, 540, 707, 1560, 910, 19239, 626, 7046, 10432, 1742, 14033, 2725, 910, 570, 332, 329, 19239, 626, 14033, 2725, 563, 24400, 513, 5959, 3318, 666, 581, 2352, 269, 2060, 3875, 5959, 28737, 538, 1142, 2749, 543, 4884, 267, 621, 1522, 581, 4101, 547, 3313, 799, 835, 568, 519, 20923, 585, 596, 269, 898, 568, 1360, 1271, 585, 707, 3003, 7622, 547, 22991, 979, 547, 519, 11290, 2094, 707, 1920, 781, 5711, 1072, 568, 2731, 2629, 547, 741, 2698, 1072, 563, 8368, 540, 12937, 454, 763, 7454, 6184, 1637, 1280, 14675, 16513, 532, 281, 1215, 1677, 7994, 454, 9596, 2859, 6168, 4132, 27231, 19239, 626, 454, 5649, 2859, 6168, 4132, 27231, 19239, 626, 454, 763, 7454, 6184, 1637, 1280, 14675, 16513, 532, 281, 1215, 1677, 7994, 454, 9596, 2859, 6168, 4132, 27231, 19239, 626, 454, 5649, 2859, 6168, 4132, 27231, 19239, 626, 0, 19102, 2084, 1426, 2504, 1510, 1210, 3606, 1216, 543, 2244, 2200, 949, 581, 2009, 998, 2417, 1646, 540, 12555, 543, 1216, 4702, 267, 2030, 9960, 543, 5444, 11049, 267, 543, 5499, 2359, 540, 1919, 899, 3002, 543, 7943, 563, 4322, 941, 930, 540, 519, 2994, 13890, 1282, 513, 8470, 4901, 1572, 968, 6124, 11627, 725, 267, 769, 1417, 1161, 585, 19663, 29759, 267, 29641, 543, 4033, 15867, 1186, 609, 10815, 4826, 892, 538, 3397, 686, 6261, 592, 572, 5253, 543, 11982, 27169, 538, 15762, 26963, 334, 593, 11728, 563, 297, 517, 11936, 20121, 2401, 267, 16628, 540, 8838, 328, 6953, 541, 4034, 267, 1767, 1010, 2754, 10039, 547, 9205, 7031, 519, 2257, 540, 875, 1769, 568, 1031, 547, 1332, 16280, 610, 538, 3039, 17346, 269, 634, 2754, 1568, 609, 18683, 267, 10808, 267, 20521, 543, 6149, 5613, 267, 543, 568, 13389, 30207, 543, 19146, 15606, 609, 4066, 602, 968, 1962, 532, 1769, 883, 519, 9328, 1512, 2127, 540, 519, 24588, 610, 1726, 961, 529, 892, 2443, 610, 2149, 519, 4829, 1282, 3665, 3002, 267, 585, 1383, 563, 1103, 476, 2568, 8062, 936, 3670, 1296, 267, 646, 1767, 11729, 2799, 543, 4074, 3790, 8519, 563, 763, 3804, 267, 646, 1767, 267, 568, 547, 1711, 6793, 267, 8902, 2371, 676, 13156, 7943, 607, 835, 540, 1082, 11378, 2139, 547, 519, 16027, 547, 2824, 543, 11694, 269, 1261, 1767, 519, 2754, 729, 7620, 2111, 547, 2268, 1657, 268, 3033, 2640, 267, 855, 1631, 789, 666, 3561, 4824, 3597, 1949, 543, 7222, 9283, 538, 1216, 946, 4398, 563, 14071, 3494, 649, 2461, 9599, 547, 2709, 851, 540, 513, 3070, 602, 666, 948, 607, 606, 7471, 1935, 2223, 646, 1767, 267, 968, 531, 784, 609, 824, 11976, 543, 6464, 543, 3037, 9283, 3034, 289, 9707, 849, 13922, 547, 2087, 2030, 1072, 543, 1967, 1256, 607, 2175, 1689, 269, 5153, 7315, 773, 16677, 1258, 328, 267, 1007, 2029, 4717, 13541, 585, 2518, 10448, 1382, 543, 1646, 693, 7345, 518, 267, 1767, 602, 1247, 519, 2754, 568, 1655, 1634, 585, 922, 1292, 4737, 7031, 267, 621, 849, 814, 513, 2178, 20614, 7693, 1982, 543, 519, 960, 568, 14911, 563, 10527, 8062, 649, 2461, 3257, 609, 10412, 267, 649, 666, 5531, 1702, 543, 4019, 602, 547, 4393, 14274, 543, 13030, 17930, 2223, 1352, 1767, 563, 2690, 1200, 267, 519, 6505, 5544, 585, 7693, 5647, 1318, 1631, 568, 5444, 11049, 267, 513, 1184, 1352, 1767, 786, 695, 1511, 1296, 1055, 519, 1184, 540, 3384, 513, 2030, 602, 3217, 5413, 540, 930, 3730, 11976, 269, 634, 1942, 540, 15971, 4719, 1570, 814, 20034, 5471, 539, 267, 1818, 621, 513, 11593, 2139, 1907, 267, 16677, 1258, 328, 1767, 269, 769, 519, 2250, 267, 2899, 519, 5551, 11976, 941, 4857, 267, 602, 3787, 1185, 547, 581, 9678, 543, 1287, 7318, 547, 1294, 952, 621, 1223, 581, 3773, 610, 6569, 1510, 4929, 824, 13311, 2164, 269, 898, 3576, 3275, 610, 1296, 585, 20422, 5481, 540, 2371, 547, 1332, 563, 4415, 5444, 11049, 267, 2705, 267, 16677, 1258, 328, 1767, 267, 968, 933, 666, 1198, 513, 5730, 1689, 1141, 4986, 3116, 538, 519, 11646, 540, 602, 2030, 568, 4299, 1848, 901, 1797, 5488, 543, 811, 5730, 2242, 602, 1205, 5452, 547, 6705, 19692, 563, 9515, 1767, 519, 10980, 538, 4993, 543, 519, 4639, 267, 2059, 609, 824, 2916, 1689, 2591, 267, 19156, 519, 991, 547, 968, 2224, 782, 519, 2645, 693, 938, 12871, 952, 649, 2461, 2469, 547, 8011, 1848, 769, 1840, 547, 5355, 11976, 267, 1352, 11329, 547, 3037, 1072, 547, 1711, 1732, 5072, 543, 1114, 11641, 2359, 2994, 563, 12850, 3788, 835, 540, 519, 1034, 17077, 2200, 585, 1082, 4829, 267, 2428, 543, 10448, 25210, 267, 2523, 538, 4993, 543, 519, 25763, 269, 5871, 6153, 4826, 568, 3384, 513, 17565, 602, 17188, 6705, 585, 1216, 789, 1810, 1406, 946, 269, 898, 779, 851, 540, 606, 24539, 2497, 602, 8783, 1646, 11464, 4406, 12551, 2006, 3081, 568, 3710, 883, 519, 2754, 779, 1870, 2203, 269, 4635, 4540, 2029, 689, 4880, 2378, 574, 267, 1352, 3081, 519, 2754, 814, 5280, 620, 325, 2788, 320, 6705, 2759, 4294, 1216, 676, 827, 3368, 3379, 547, 519, 1533, 3328, 269, 5221, 4993, 568, 513, 3056, 10683, 1533, 267, 620, 325, 2788, 320, 568, 513, 2565, 7693, 563, 763, 11895, 30620, 2029, 568, 5916, 609, 1655, 989, 1258, 5669, 2853, 267, 1352, 1767, 267, 543, 824, 2640, 1246, 267, 971, 607, 3327, 3524, 652, 1674, 267, 4824, 3037, 1072, 543, 2799, 7443, 269, 634, 3457, 2268, 543, 513, 3791, 5428, 2357, 5809, 875, 1454, 1216, 6705, 723, 1031, 563, 2108, 5978, 2203, 568, 547, 2965, 2628, 873, 1759, 593, 519, 2179, 540, 1216, 789, 4688, 2223, 12551, 2006, 1767, 563, 19859, 268, 597, 3419, 566, 543, 824, 1852, 3800, 2061, 10475, 12772, 540, 1216, 689, 29400, 689, 519, 2371, 585, 799, 789, 616, 5497, 269, 1656, 1247, 5871, 6153, 4826, 6589, 585, 4890, 1216, 1031, 267, 8355, 773, 548, 2098, 3147, 7559, 267, 606, 6694, 1216, 2359, 11285, 693, 519, 2160, 540, 4993, 267, 16026, 267, 1767, 711, 782, 10124, 798, 563, 3891, 1767, 1216, 946, 568, 1631, 16042, 476, 9834, 2600, 4398, 538, 4993, 267, 2495, 1360, 2370, 568, 24906, 269, 1809, 646, 1309, 1903, 602, 713, 849, 1281, 711, 1611, 1216, 946, 568, 4264, 563, 2108, 26170, 267, 630, 933, 2461, 264, 936, 9526, 532, 519, 6864, 28875, 543, 630, 933, 2461, 264, 22536, 626, 1026, 5024, 519, 8933, 2223, 646, 1767, 267, 865, 4398, 543, 6940, 616, 2731, 5094, 2152, 269, 1261, 1767, 4702, 666, 2087, 875, 543, 950, 1216, 568, 6410, 267, 543, 1247, 602, 1419, 18922, 883, 2362, 11729, 267, 621, 849, 1797, 972, 779, 1419, 513, 2121, 2333, 538, 2949, 1216, 946, 607, 811, 14143, 616, 11125, 730, 563, 2108, 4462, 1652, 649, 1711, 513, 5943, 585, 1732, 1216, 8051, 543, 11214, 2322, 538, 1747, 513, 1259, 547, 11694, 519, 2179, 540, 1216, 21248, 543, 519, 2121, 4324, 540, 602, 1216, 14305, 829, 23505, 267, 649, 786, 711, 3035, 519, 2146, 779, 3804, 540, 4227, 630, 4248, 946, 264, 968, 267, 646, 1767, 563, 2252, 519, 3804, 540, 4264, 1216, 946, 568, 547, 18359, 15780, 267, 646, 6045, 267, 1287, 1216, 2359, 2853, 602, 2333, 7693, 6556, 829, 23505, 543, 4061, 5000, 811, 14143, 547, 581, 11125, 730, 616, 711, 519, 2645, 547, 3035, 621, 563, 13349, 6153, 4826, 267, 12551, 2006, 1767, 267, 13922, 547, 3035, 4890, 5726, 538, 1840, 547, 3246, 513, 1007, 2707, 540, 4747, 585, 6705, 269, 2701, 1767, 602, 779, 1946, 789, 3479, 547, 2324, 609, 513, 3484, 585, 5722, 1296, 563, 10527, 2601, 649, 3251, 593, 519, 3484, 568, 547, 1118, 2386, 602, 1346, 1216, 9806, 616, 6913, 267, 602, 789, 1205, 519, 6556, 602, 789, 1616, 267, 602, 789, 4019, 519, 1318, 2179, 540, 1216, 267, 602, 789, 723, 513, 1360, 2178, 11641, 2359, 1062, 543, 782, 540, 1346, 1919, 2223, 1352, 1767, 269, 634, 2754, 13922, 547, 4228, 883, 824, 4529, 607, 1134, 563, 763, 4170, 540, 519, 12655, 16140, 4248, 5004, 2920, 543, 519, 5571, 10980, 786, 1100, 8969, 2014, 1082, 11396, 547, 3136, 547, 1413, 585, 1216, 3435, 563, 2690, 811, 3377, 3643, 8940, 6993, 326, 686, 6261, 592, 572, 2593, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11855, 593, 519, 2494, 10394, 4960, 27891, 779, 5680, 3135, 568, 968, 712, 12200, 786, 711, 723, 547, 2328, 1808, 18747, 585, 7616, 1848, 5502, 267, 12200, 786, 4584, 543, 3442, 2443, 610, 1904, 856, 540, 2443, 960, 593, 968, 339, 2532, 9753, 892, 689, 519, 13108, 610, 824, 19999, 6782, 13384, 832, 269, 11524, 8044, 267, 2705, 267, 602, 2324, 1152, 593, 713, 4108, 2987, 527, 7007, 547, 28273, 1592, 786, 2695, 601, 577, 12200, 11036, 543, 5647, 563, 15703, 12200, 723, 7074, 602, 519, 968, 516, 14142, 892, 5340, 676, 519, 772, 2752, 290, 998, 13108, 968, 339, 2532, 9753, 892, 568, 3982, 569, 1114, 689, 519, 12200, 30928, 1382, 602, 772, 295, 3173, 4867, 11654, 538, 606, 1930, 4081, 1604, 269, 772, 2752, 290, 2238, 1590, 581, 13988, 609, 519, 13108, 779, 2112, 1922, 18017, 5692, 998, 519, 9516, 4295, 21941, 267, 543, 1317, 519, 772, 2752, 290, 6411, 607, 513, 11967, 8665, 540, 519, 2229, 267, 616, 849, 1641, 547, 5393, 25516, 6042, 5883, 4655, 540, 1719, 563, 763, 772, 2752, 290, 1131, 2285, 4473, 547, 513, 2898, 1007, 29904, 6483, 267, 2687, 547, 513, 20171, 593, 519, 2494, 10394, 4960, 27891, 779, 5680, 3135, 630, 5408, 4216, 593, 674, 276, 1040, 634, 772, 2752, 290, 1131, 581, 606, 6896, 1382, 1770, 602, 4080, 547, 519, 13030, 4960, 27891, 585, 1382, 543, 10927, 2069, 543, 1131, 581, 7307, 676, 606, 10324, 8689, 547, 581, 5697, 689, 513, 3084, 3406, 269, 589, 8689, 1131, 2212, 1142, 540, 772, 295, 779, 2185, 1382, 2027, 885, 538, 5836, 2257, 282, 17651, 282, 4359, 6850, 19945, 9455, 543, 15392, 282, 543, 6845, 832, 267, 10618, 543, 1344, 2029, 269, 6271, 8689, 540, 1870, 543, 14721, 328, 268, 1193, 566, 1131, 936, 5408, 772, 2752, 290, 4238, 269, 1452, 16984, 1131, 960, 538, 682, 1078, 2230, 693, 519, 2494, 10394, 16743, 4741, 563, 4462, 5035, 1881, 1382, 1131, 581, 5342, 593, 519, 2494, 10394, 13464, 855, 9286, 1382, 1131, 581, 5340, 593, 4108, 6703, 538, 519, 1533, 610, 593, 519, 22163, 269, 2859, 29904, 6483, 786, 581, 2877, 547, 5496, 10986, 585, 3354, 2312, 1734, 2838, 585, 9286, 1382, 563, 21156, 540, 3246, 606, 2804, 17003, 585, 519, 1533, 267, 930, 12200, 18167, 883, 4238, 540, 519, 6069, 772, 2752, 290, 1265, 513, 25516, 267, 4550, 1532, 5350, 1604, 563, 1103, 17655, 4655, 6361, 29027, 543, 824, 6042, 267, 789, 1336, 538, 1198, 513, 31216, 4931, 30533, 525, 519, 772, 2752, 290, 269, 8409, 16561, 772, 2752, 290, 7616, 616, 3046, 1042, 689, 2324, 609, 2199, 2872, 538, 26136, 3544, 519, 772, 2752, 290, 610, 538, 24416, 741, 7214, 3959, 538, 960, 3544, 519, 772, 2752, 290, 538, 2127, 538, 799, 789, 949, 723, 6591, 1344, 4758, 873, 513, 8013, 5413, 267, 7488, 540, 2436, 602, 1344, 568, 9286, 563, 12867, 16561, 772, 2752, 290, 7616, 849, 616, 3046, 1042, 689, 26446, 1007, 18747, 267, 10024, 10319, 3347, 267, 23072, 5077, 268, 3824, 960, 610, 11173, 960, 3544, 519, 772, 2752, 290, 538, 741, 32258, 602, 1522, 4324, 689, 741, 1569, 547, 1344, 1369, 519, 772, 2752, 290, 602, 568, 3622, 28998, 547, 519, 1857, 269, 5047, 267, 789, 1336, 267, 891, 9993, 786, 3136, 585, 1614, 1296, 1310, 789, 4734, 519, 772, 2752, 290, 563, 14085, 540, 891, 9993, 568, 6045, 593, 519, 4960, 27891, 779, 5680, 20171, 267, 4352, 966, 817, 18442, 5204, 3944, 657, 267, 2930, 11464, 585, 519, 772, 2752, 290, 11556, 267, 12038, 693, 3259, 538, 606, 5967, 3370, 4728, 476, 273, 538, 18087, 24955, 602, 1978, 4655, 6361, 29027, 9993, 1131, 4019, 547, 1346, 945, 3398, 772, 2752, 290, 7616, 563, 2108, 2521, 532, 547, 3589, 519, 1198, 540, 519, 772, 2752, 290, 593, 1761, 24416, 4747, 568, 3592, 4829, 1652, 2223, 9400, 674, 269, 30532, 12789, 269, 540, 772, 295, 779, 8433, 540, 5303, 18734, 543, 9483, 4886, 1767, 538, 606, 552, 17733, 2063, 3018, 269, 1261, 6059, 772, 295, 1131, 3142, 538, 827, 1269, 12010, 267, 1822, 538, 24416, 4747, 585, 519, 1032, 10678, 4873, 476, 1789, 563, 8448, 338, 6318, 9597, 5652, 3656, 2152, 269, 2368, 2243, 2436, 519, 13108, 1558, 519, 3656, 4170, 540, 1930, 23318, 538, 1237, 1324, 519, 772, 2752, 290, 693, 772, 295, 5336, 543, 3976, 538, 3246, 18113, 4023, 6735, 547, 824, 11727, 9945, 269, 1280, 1383, 267, 519, 8136, 267, 8331, 543, 519, 4972, 540, 13067, 14657, 8232, 723, 782, 5063, 3964, 1007, 772, 2752, 12336, 543, 5313, 1382, 7740, 998, 1930, 14773, 906, 543, 3084, 6735, 269, 1656, 519, 1482, 27152, 6392, 11855, 547, 3715, 772, 295, 5336, 779, 772, 2752, 290, 729, 1336, 607, 13385, 24134, 585, 8366, 532, 513, 772, 2752, 290, 4579, 547, 8592, 22846, 2160, 676, 8331, 1510, 2407, 543, 1930, 6735, 267, 602, 8116, 779, 8524, 528, 2489, 1336, 563, 22746, 3376, 8116, 14773, 906, 4196, 711, 1152, 513, 3656, 10421, 269, 1358, 849, 2270, 2565, 1344, 593, 519, 3483, 540, 519, 772, 2752, 290, 267, 513, 6609, 540, 519, 5692, 543, 1826, 540, 1382, 267, 519, 10148, 543, 9993, 593, 11727, 543, 3811, 23078, 267, 543, 1271, 6268, 543, 5542, 7355, 547, 581, 3769, 538, 519, 11556, 269, 4935, 267, 519, 772, 295, 5336, 772, 2752, 290, 31360, 2565, 1344, 593, 519, 4890, 12200, 543, 5234, 945, 1131, 1685, 519, 1382, 543, 1271, 4853, 28930, 725, 602, 568, 7363, 2838, 538, 971, 18747, 269, 9453, 971, 513, 3376, 8116, 23318, 585, 519, 13108, 772, 2752, 290, 267, 9444, 519, 1857, 6862, 519, 772, 295, 12200, 723, 519, 5583, 2877, 547, 3313, 4010, 1018, 741, 7589, 1131, 4125, 267, 1018, 789, 786, 581, 4280, 547, 798, 585, 519, 13108, 610, 1018, 519, 13108, 786, 581, 3257, 267, 5310, 2282, 741, 1378, 8378, 563, 1103, 1840, 267, 519, 13108, 568, 10647, 513, 5732, 7803, 7634, 883, 31482, 540, 25314, 534, 1771, 540, 9286, 4108, 11731, 676, 772, 295, 543, 922, 28337, 3194, 15278, 267, 18087, 24955, 744, 16127, 4080, 593, 4728, 476, 273, 563, 300, 1143, 534, 1771, 540, 10480, 518, 958, 14102, 1382, 543, 3765, 8063, 906, 538, 7311, 585, 602, 7616, 568, 9763, 12517, 269, 589, 5313, 9794, 3576, 519, 8966, 1900, 540, 2366, 9760, 547, 1614, 3275, 538, 21569, 513, 7548, 540, 5122, 4702, 693, 519, 2160, 540, 16855, 693, 23885, 543, 535, 1456, 1864, 1269, 1015, 267, 1822, 585, 14084, 593, 513, 9886, 3498, 646, 1500, 547, 519, 2817, 3163, 7690, 563, 1103, 1688, 532, 1524, 602, 4845, 267, 607, 4080, 676, 519, 20048, 1834, 540, 14451, 4065, 593, 3967, 269, 476, 1839, 267, 476, 1960, 280, 267, 772, 2529, 269, 7395, 626, 3433, 25960, 15537, 595, 13702, 518, 1767, 267, 968, 20751, 519, 4081, 2146, 267, 1346, 945, 1246, 519, 3652, 1590, 581, 21407, 789, 616, 711, 669, 7927, 267, 535, 8962, 267, 610, 29186, 619, 3034, 2026, 1271, 607, 891, 2152, 616, 267, 1082, 12200, 723, 6829, 607, 741, 6574, 6161, 519, 9000, 540, 513, 8468, 585, 519, 2146, 543, 13464, 543, 519, 2489, 3668, 540, 12200, 15360, 547, 4983, 891, 2055, 538, 1469, 269, 769, 513, 5870, 609, 12200, 593, 4728, 476, 1626, 267, 26554, 27891, 8834, 1621, 331, 1068, 23294, 1242, 968, 1721, 711, 2348, 2097, 4464, 610, 2348, 1500, 713, 1880, 6881, 513, 2370, 3787, 19692, 1848, 1809, 519, 23616, 1637, 602, 2407, 15360, 1491, 1747, 609, 7255, 8639, 729, 9859, 676, 519, 8274, 540, 3204, 757, 538, 922, 5437, 476, 1220, 275, 5870, 267, 543, 3646, 547, 3715, 513, 772, 2752, 290, 693, 772, 295, 5336, 4266, 689, 5181, 476, 1220, 273, 269, 9717, 519, 1686, 4478, 32652, 21060, 267, 1082, 12200, 1745, 602, 772, 295, 1058, 581, 1360, 6297, 547, 4983, 782, 971, 2055, 609, 2347, 22371, 543, 1434, 5132, 563, 289, 1197, 569, 1546, 324, 701, 3223, 1197, 568, 513, 2160, 540, 16127, 5336, 8457, 320, 7548, 540, 19761, 269, 2701, 11828, 5313, 1344, 4507, 1644, 547, 772, 2529, 269, 7414, 6046, 9604, 4255, 630, 3707, 277, 268, 7830, 264, 538, 1200, 9241, 3370, 1433, 267, 968, 21158, 20023, 281, 634, 1715, 3840, 8648, 543, 519, 25512, 1848, 0, 3963, 519, 17807, 568, 1572, 834, 763, 17807, 8487, 6597, 3539, 519, 29721, 540, 1913, 811, 1419, 982, 711, 8761, 741, 3020, 2495, 563, 4913, 267, 13031, 513, 1913, 3020, 2495, 568, 4749, 607, 2653, 607, 3274, 1350, 3496, 693, 519, 2262, 563, 5472, 649, 991, 798, 267, 568, 4584, 6306, 519, 1913, 865, 602, 741, 2495, 581, 6508, 563, 1607, 666, 1419, 581, 2944, 676, 24590, 6306, 519, 1913, 1369, 519, 2262, 602, 9192, 547, 1118, 909, 519, 2262, 267, 865, 602, 649, 666, 1413, 693, 1018, 1142, 2262, 1797, 14384, 267, 543, 1287, 11214, 9192, 891, 8847, 547, 1711, 513, 811, 3376, 4214, 563, 1103, 519, 2013, 540, 1620, 519, 2495, 540, 519, 2262, 968, 4462, 5744, 5608, 649, 1590, 8237, 519, 2262, 7122, 883, 519, 1913, 968, 27376, 892, 543, 968, 2091, 5608, 543, 5581, 873, 14384, 1354, 9256, 873, 547, 1118, 835, 4214, 563, 3519, 8019, 267, 519, 3597, 2262, 968, 27376, 892, 2501, 689, 519, 2262, 968, 684, 1243, 5608, 968, 29774, 892, 610, 968, 684, 1881, 5608, 543, 1797, 547, 581, 835, 267, 610, 547, 581, 835, 609, 1945, 610, 3388, 563, 763, 2262, 14235, 267, 538, 713, 2013, 267, 12211, 547, 3280, 267, 610, 519, 2262, 607, 4330, 538, 3627, 476, 272, 281, 272, 538, 519, 23573, 563, 13295, 267, 621, 12211, 547, 519, 31954, 1648, 540, 782, 1919, 282, 3006, 5219, 547, 607, 3280, 563, 1103, 3932, 267, 519, 2262, 7122, 1797, 2433, 634, 8087, 267, 31954, 1648, 2361, 602, 782, 1919, 1927, 616, 16922, 540, 563, 1103, 713, 2631, 267, 519, 7122, 568, 9247, 519, 2247, 540, 2696, 1141, 2696, 554, 987, 2840, 339, 1117, 3294, 883, 782, 1272, 563, 2171, 5660, 707, 3007, 563, 2252, 596, 5660, 938, 1543, 267, 5225, 909, 341, 1774, 267, 2671, 267, 1964, 9851, 2483, 7775, 24946, 3842, 519, 1739, 21888, 268, 2017, 11750, 3248, 7775, 4309, 513, 10865, 2648, 4484, 585, 1269, 272, 1315, 2776, 14092, 947, 2376, 21856, 7711, 4793, 516, 517, 0, 1432, 616, 15985, 956, 540, 20612, 1572, 888, 306, 651, 514, 281, 962, 7568, 20386, 538, 513, 10690, 6335, 269, 962, 7568, 26437, 607, 11084, 543, 7729, 1231, 2097, 4712, 547, 5679, 527, 269, 2991, 596, 1265, 519, 1439, 267, 596, 666, 5641, 593, 543, 979, 269, 670, 1678, 281, 962, 7568, 10138, 883, 513, 1804, 5858, 543, 1287, 25649, 563, 1432, 616, 519, 2010, 540, 20612, 888, 12218, 2305, 1759, 593, 1297, 540, 22204, 454, 312, 541, 985, 666, 581, 4330, 607, 2582, 267, 610, 835, 1790, 569, 282, 533, 569, 267, 726, 1221, 267, 610, 25649, 282, 610, 607, 10260, 267, 1519, 10814, 543, 688, 9749, 518, 2010, 563, 1432, 568, 513, 7274, 540, 20612, 1572, 888, 1103, 1250, 1995, 267, 621, 779, 1360, 1455, 547, 5873, 519, 2262, 2048, 338, 651, 514, 8072, 1031, 547, 3277, 547, 2048, 320, 1770, 540, 20612, 17483, 1692, 1082, 2010, 540, 20612, 616, 972, 888, 2690, 1383, 267, 20612, 1293, 476, 1789, 632, 857, 307, 1410, 1797, 602, 972, 616, 476, 1789, 10101, 540, 20612, 829, 476, 1015, 267, 1822, 544, 610, 476, 1015, 5998, 540, 602, 20612, 630, 21346, 829, 3259, 1916, 21902, 338, 540, 962, 7568, 4032, 20970, 563, 347, 15575, 3590, 8745, 1475, 16215, 540, 3259, 1475, 16215, 540, 2527, 2008, 23277, 13011, 4032, 630, 301, 332, 10534, 1911, 271, 544, 1315, 476, 272, 5998, 1475, 11899, 2008, 347, 310, 528, 23264, 4032, 630, 10468, 298, 10534, 28794, 18126, 1475, 331, 321, 2008, 347, 310, 944, 6352, 4032, 1475, 16348, 18126, 1475, 331, 321, 2008, 1692, 1454, 20612, 568, 538, 513, 3440, 888, 16100, 693, 519, 20612, 6003, 547, 1294, 875, 1082, 18126, 616, 538, 476, 272, 3440, 269, 769, 713, 1383, 267, 649, 3580, 2161, 602, 1142, 3440, 814, 476, 1220, 18126, 269, 6875, 519, 2698, 1297, 540, 18126, 596, 3580, 991, 630, 13670, 271, 264, 543, 7941, 602, 676, 519, 1297, 540, 18126, 538, 1142, 3440, 630, 1220, 1040, 476, 13670, 271, 270, 1220, 815, 476, 277, 269, 4037, 11084, 269, 0, 13729, 540, 476, 736, 589, 275, 5595, 21758, 4806, 6486, 267, 4998, 547, 26821, 12805, 1983, 543, 17501, 5546, 1927, 269, 17677, 21758, 2488, 476, 273, 2157, 540, 7411, 454, 16787, 288, 6579, 5723, 6579, 14510, 281, 769, 6006, 454, 13981, 8249 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 534, 7833, 2095, 267, 519, 5236, 361, 480, 340, 573, 2609, 616, 3274, 12261, 1510, 1022, 454, 1372, 4146, 610, 10047, 269, 634, 22636, 543, 10047, 540, 5714, 2609, 616, 454, 8619, 4310, 676, 519, 7648, 538, 6991, 3334, 609, 519, 2230, 10974, 563, 763, 5276, 22636, 610, 8833, 2557, 568, 3989, 607, 519, 2557, 540, 1689, 540, 3259, 454, 1993, 513, 5276, 5714, 3693, 829, 1770, 3312, 3259, 269, 634, 2557, 540, 16070, 454, 1372, 4146, 693, 513, 1448, 568, 3989, 607, 519, 2557, 540, 1689, 540, 5086, 1063, 1079, 454, 15035, 2609, 693, 602, 1448, 799, 941, 7620, 13902, 547, 1142, 824, 563, 763, 10047, 693, 513, 1448, 568, 3989, 607, 519, 12980, 1611, 540, 519, 16070, 454, 767, 665, 885, 540, 1079, 13902, 5276, 12415, 5870, 693, 602, 1448, 269, 634, 454, 8527, 566, 540, 513, 5714, 3693, 538, 9000, 540, 1022, 22636, 568, 1634, 607, 6986, 610, 454, 3419, 573, 1560, 10047, 269, 1879, 519, 3334, 540, 10047, 693, 782, 2798, 538, 513, 2095, 454, 13069, 727, 4642, 267, 519, 2095, 568, 1767, 547, 581, 3352, 8527, 1049, 563, 27949, 356, 454, 763, 642, 20294, 640, 568, 2965, 606, 24431, 2096, 13240, 21723, 855, 621, 568, 3989, 607, 513, 6152, 454, 7474, 11224, 547, 1079, 2053, 519, 10047, 6152, 269, 966, 20294, 640, 568, 4642, 585, 606, 3352, 8527, 1049, 454, 6503, 563, 763, 6228, 540, 513, 9308, 2009, 2095, 2361, 568, 20240, 689, 519, 6240, 454, 1993, 5726, 540, 2527, 563, 27949, 356, 454, 21902, 454, 14240, 454, 27949, 356, 454, 21902, 281, 589, 7274, 540, 2339, 538, 2230, 799, 568, 9916, 1282, 513, 1966, 563, 27949, 356, 454, 20776, 1037, 902, 281, 18421, 5007, 547, 519, 1062, 563, 27949, 356, 454, 21902, 21940, 776, 281, 589, 9668, 1459, 1063, 1062, 543, 4478, 563, 12218, 2305, 540, 519, 1062, 10465, 281, 27949, 356, 454, 27949, 356, 454, 18600, 4396, 10465, 454, 3412, 698, 2435, 10465, 454, 763, 1062, 10465, 949, 581, 2417, 9286, 607, 281, 27949, 356, 674, 12089, 10465, 610, 6513, 7136, 3590, 454, 27949, 356, 25021, 10465, 610, 6513, 11730, 3590, 454, 763, 3903, 540, 10465, 5673, 593, 519, 1966, 1373, 9916, 563, 8993, 476, 280, 269, 272, 3590, 543, 28259, 902, 454, 12218, 2305, 540, 7010, 454, 15650, 540, 3590, 454, 6944, 1503, 7136, 3590, 630, 5141, 2216, 3590, 994, 272, 269, 4706, 513, 1062, 540, 6378, 2527, 609, 6378, 3961, 563, 273, 269, 901, 1826, 540, 1062, 568, 2356, 5219, 547, 607, 1299, 638, 582, 282, 743, 2216, 1062, 261, 638, 582, 282, 563, 274, 269, 1703, 568, 1100, 2527, 4483, 2066, 519, 1062, 10465, 563, 275, 269, 6052, 4483, 949, 1491, 1747, 883, 610, 856, 540, 519, 1062, 563, 12812, 547, 1404, 519, 23227, 566, 454, 8993, 476, 280, 269, 273, 589, 6513, 7136, 3590, 610, 1849, 2216, 3590, 454, 6944, 1503, 11730, 3590, 630, 15411, 3590, 994, 272, 563, 273, 563, 274, 563, 275, 563, 276, 563, 21132, 513, 1062, 540, 6378, 4320, 563, 1607, 1826, 540, 1062, 568, 2356, 5219, 547, 607, 1299, 638, 582, 282, 13449, 1062, 892, 610, 513, 1299, 638, 582, 282, 31553, 4320, 261, 638, 582, 3248, 22709, 4483, 666, 1491, 1747, 2066, 513, 1852, 4320, 563, 21328, 4483, 949, 849, 2049, 883, 610, 856, 540, 519, 1062, 563, 288, 1852, 4320, 666, 581, 2938, 607, 513, 6378, 3148, 2066, 799, 2527, 543, 1648, 19132, 616, 454, 13231, 1221, 563, 277, 269, 6513, 17183, 268, 4706, 519, 10465, 540, 513, 1852, 4320, 2066, 799, 519, 4483, 540, 1312, 2527, 454, 663, 1648, 3217, 1747, 563, 278, 269, 634, 2527, 540, 513, 1852, 4320, 630, 13449, 1062, 264, 949, 610, 949, 711, 581, 19509, 343, 539, 563, 279, 269, 1879, 519, 2121, 27614, 540, 2527, 2066, 519, 1852, 2627, 11224, 4642, 1287, 519, 2527, 540, 519, 454, 17882, 568, 6378, 543, 13030, 268, 951, 320, 563, 280, 269, 634, 3961, 540, 2527, 538, 513, 1852, 4320, 2141, 2242, 7429, 519, 2013, 585, 513, 1852, 2527, 454, 17882, 630, 743, 2216, 1062, 1916, 1015, 269, 4107, 540, 519, 4702, 3457, 267, 538, 2489, 267, 2099, 606, 1930, 1062, 610, 1852, 4320, 563, 7078, 281, 27949, 371, 454, 27949, 371, 454, 28959, 9401, 9734, 910, 29079, 13788, 543, 3762, 519, 1062, 11179, 609, 519, 4483, 540, 3002, 454, 659, 1484, 519, 1062, 10465, 563, 303, 2794, 910, 589, 6024, 2095, 540, 5714, 3217, 1747, 998, 519, 1062, 609, 513, 4483, 540, 454, 1889, 22817, 1648, 689, 519, 10450, 547, 519, 1062, 563, 12812, 547, 1404, 519, 23227, 566, 454, 8993, 476, 280, 269, 274, 589, 6513, 11730, 3590, 610, 7046, 3590, 454, 3674, 565, 730, 3590, 454, 272, 269, 4706, 513, 1062, 540, 6378, 2527, 609, 1482, 3961, 543, 6378, 1648, 563, 273, 269, 3143, 5872, 540, 2527, 610, 1648, 3217, 1747, 1063, 519, 1062, 543, 519, 10450, 563, 274, 269, 769, 811, 13016, 1913, 606, 9678, 1062, 568, 899, 513, 6806, 6300, 9624, 513, 11112, 2344, 563, 8993, 476, 280, 269, 275, 1323, 1772, 565, 730, 3590, 454, 8256, 3569, 540, 7136, 910, 634, 8033, 8462, 17817, 454, 25187, 540, 5726, 540, 2527, 454, 763, 1876, 2829, 602, 2527, 666, 9444, 581, 2813, 6862, 581, 10032, 269, 11094, 540, 2527, 568, 7915, 454, 1729, 513, 1852, 2527, 1062, 630, 743, 2216, 1062, 1916, 27949, 371, 454, 763, 6310, 4082, 585, 519, 1657, 1876, 568, 7150, 607, 912, 4501, 484, 332, 270, 4501, 484, 339, 815, 476, 271, 267, 1141, 544, 815, 2527, 540, 519, 1062, 454, 27949, 371, 454, 2690, 513, 1852, 4320, 630, 8993, 269, 280, 269, 276, 1070, 519, 6240, 540, 5726, 540, 2527, 568, 7150, 607, 454, 31948, 693, 799, 2527, 13788, 815, 15580, 693, 799, 2527, 3762, 519, 3148, 1341, 15580, 540, 454, 3147, 636, 1637, 540, 2527, 538, 519, 3148, 454, 3036, 454, 31948, 540, 13250, 540, 2527, 538, 519, 1852, 4320, 454, 266, 4880, 2557, 540, 2527, 2498, 12999, 689, 519, 1852, 4320, 815, 476, 271, 454, 263, 280, 269, 272, 994, 16676, 8462, 3830, 454, 763, 1657, 3948, 6829, 2555, 21154, 538, 2474, 540, 6991, 543, 5860, 19509, 15505, 540, 513, 5236, 361, 480, 578, 568, 1634, 454, 553, 519, 3830, 540, 15364, 563, 12812, 547, 1404, 519, 23227, 566, 454, 8993, 476, 280, 269, 276, 454, 288, 6513, 11730, 538, 513, 10046, 12197, 454, 16676, 8462, 17817, 910, 27018, 4813, 454, 32056, 10474, 454, 272, 269, 634, 1448, 693, 799, 519, 15364, 3830, 814, 547, 581, 6508, 267, 568, 20583, 676, 606, 10026, 454, 31553, 4320, 563, 273, 269, 634, 27614, 267, 2498, 12999, 543, 519, 2557, 540, 13250, 540, 2527, 568, 7229, 2066, 1142, 2627, 454, 5976, 514, 519, 1852, 4320, 563, 8993, 476, 280, 269, 277, 589, 6513, 11730, 30785, 547, 513, 25351, 9771, 31951, 3213, 15453, 3590, 454, 13706, 513, 14328, 6252, 641, 21317, 538, 519, 1657, 4137, 607, 519, 1852, 4320, 538, 513, 454, 5550, 9771, 7047, 14198, 7406, 540, 11282, 17887, 563, 27949, 371, 454, 15187, 2498, 12999, 540, 2527, 2059, 1535, 910, 9471, 1590, 581, 519, 4430, 856, 6503, 936, 1102, 869, 2066, 8188, 3339, 454, 1729, 1535, 910, 9471, 563, 27949, 371, 454, 4131, 519, 5714, 4283, 2066, 835, 540, 971, 8188, 13235, 291, 609, 513, 6991, 579, 543, 513, 5860, 6543, 479, 7868, 454, 767, 6290, 543, 5860, 609, 799, 519, 5714, 786, 4734, 519, 3068, 31246, 21203, 786, 581, 454, 663, 454, 27920, 1947, 630, 10864, 22162, 519, 2362, 1931, 2474, 538, 24818, 343, 1916, 27949, 371, 454, 27949, 371, 454, 11997, 267, 519, 2557, 540, 2527, 10024, 519, 1852, 4320, 998, 3068, 13235, 291, 815, 6543, 479, 340, 10085, 546, 345, 563, 763, 2557, 540, 2527, 6028, 519, 1852, 4320, 998, 3068, 31246, 21203, 786, 581, 454, 263, 10864, 22162, 519, 2362, 1931, 2474, 538, 15848, 994, 27949, 371, 454, 20118, 27614, 543, 2498, 12999, 1491, 1747, 538, 782, 586, 543, 1990, 8846, 849, 563, 27949, 371, 454, 31948, 540, 13250, 585, 513, 1448, 538, 513, 2095, 2361, 454, 27949, 371, 454, 8794, 267, 15580, 540, 27614, 815, 15580, 540, 6452, 636, 1637, 1341, 15580, 540, 20306, 12999, 454, 27949, 371, 454, 9558, 2536, 2590, 3388, 547, 1318, 2427, 454, 263, 280, 269, 273, 994, 1607, 568, 519, 17817, 540, 8033, 8462, 585, 513, 14771, 1043, 5714, 538, 513, 14328, 7047, 14198, 11282, 454, 17882, 563, 16676, 8462, 17817, 910, 21070, 4813, 454, 27949, 371, 454, 763, 15364, 3830, 666, 581, 2854, 538, 513, 6152, 1106, 607, 454, 263, 280, 269, 274, 994, 528, 2676, 3602, 454, 27949, 371, 454, 529, 519, 6991, 540, 519, 1448, 454, 1103, 2013, 540, 513, 11931, 2095, 2676, 27949, 371, 454, 17798, 26169, 269, 630, 280, 269, 274, 264, 3587, 454, 263, 280, 269, 275, 994, 27949, 371, 454, 1103, 513, 14328, 7047, 14198, 11282, 1062, 454, 263, 280, 269, 276, 994, 27949, 371, 454, 27949, 371, 454, 13420, 566, 630, 280, 269, 275, 264, 610, 630, 280, 269, 276, 264, 4564, 519, 15364, 3830, 585, 513, 11931, 2095, 563, 1103, 2013, 540, 606, 22424, 816, 1043, 2095, 2676, 16708, 815, 3586, 454, 27949, 371, 454, 17798, 2676, 27949, 371, 454, 11101, 454, 27949, 371, 454, 11997, 267, 519, 15364, 3830, 585, 606, 22424, 816, 1043, 2095, 3587, 454, 263, 280, 269, 277, 994, 263, 280, 269, 278, 994, 27949, 371, 454, 1103, 20425, 8701, 10974, 552, 336, 269, 280, 269, 278, 6971, 547, 454, 27949, 371, 454, 292, 336, 269, 630, 280, 269, 278, 264, 666, 581, 2854, 538, 2474, 540, 519, 8833, 2557, 3334, 607, 454, 263, 280, 269, 279, 994, 16676, 8462, 17817, 910, 589, 1849, 2216, 3590, 13979, 454, 2171, 917, 602, 519, 5726, 540, 2527, 568, 7915, 547, 519, 4214, 540, 513, 6806, 1062, 607, 667, 332, 22230, 339, 815, 476, 271, 454, 263, 3602, 544, 568, 519, 2527, 540, 519, 6806, 1062, 1916, 4913, 267, 519, 2489, 1106, 540, 15364, 666, 581, 6508, 689, 519, 2596, 3830, 540, 2527, 5726, 454, 1993, 513, 1062, 563, 32056, 10474, 2433, 4131, 721, 2015, 606, 3693, 531, 6806, 1062, 540, 4320, 966, 543, 5860, 6543, 479, 563, 3086, 454, 1103, 6152, 10035, 649, 666, 2328, 713, 607, 454, 5560, 7976, 829, 1770, 4320, 994, 763, 1657, 4834, 616, 1482, 607, 602, 19775, 689, 6513, 11730, 1935, 454, 1805, 3195, 9577, 454, 4131, 721, 2015, 513, 1079, 8820, 22424, 816, 1043, 5236, 361, 480, 578, 6252, 547, 519, 1535, 910, 586, 7077, 538, 513, 14328, 7047, 14198, 454, 1723, 15453, 1062, 269, 634, 5236, 361, 480, 578, 19509, 15505, 538, 713, 2013, 568, 632, 16667, 2740, 676, 454, 340, 815, 579, 3287, 267, 586, 267, 512, 994, 341, 815, 642, 3287, 267, 586, 267, 512, 994, 342, 284, 271, 454, 763, 3830, 540, 15364, 568, 454, 263, 1015, 269, 272, 994, 2252, 513, 1599, 6543, 486, 3287, 267, 586, 267, 512, 264, 568, 3989, 538, 519, 6073, 454, 263, 1015, 269, 273, 320, 994, 263, 1015, 269, 273, 321, 994, 810, 602, 621, 8850, 25389, 519, 3830, 540, 15364, 630, 292, 336, 269, 630, 1015, 269, 272, 24270, 1287, 519, 1599, 568, 454, 4385, 607, 6908, 1599, 563, 9616, 602, 585, 513, 11931, 2095, 267, 6543, 486, 568, 513, 1599, 540, 1079, 4632, 1535, 543, 586, 1152, 563, 17746, 3599, 540, 6543, 486, 593, 513, 20837, 1467, 454, 7712, 6543, 486, 568, 513, 1448, 1599, 267, 621, 814, 513, 1871, 693, 1169, 1448, 538, 519, 5236, 361, 480, 578, 19509, 15505, 269, 4935, 513, 1689, 538, 519, 454, 6894, 1599, 6543, 486, 666, 581, 2854, 607, 454, 763, 3830, 540, 513, 20928, 568, 2016, 676, 454, 2005, 5205, 602, 546, 395, 486, 815, 476, 271, 593, 513, 20928, 20136, 10522, 519, 1871, 540, 6543, 486, 568, 3586, 2059, 513, 20928, 269, 4475, 267, 519, 454, 3225, 566, 540, 513, 20928, 666, 581, 6829, 538, 2474, 540, 6908, 1599, 607, 454, 395, 486, 3287, 267, 586, 264, 815, 3586, 454, 263, 1015, 269, 274, 994, 5629, 519, 1599, 6543, 486, 568, 1634, 267, 20928, 666, 581, 6537, 676, 11836, 519, 1482, 2418, 540, 6543, 486, 454, 514, 519, 2095, 2361, 563, 1805, 3195, 1599, 585, 606, 3352, 8527, 1049, 2095, 454, 1103, 2013, 540, 513, 1079, 8820, 3352, 8527, 1049, 2095, 454, 6962, 6537, 281, 2690, 606, 3352, 8527, 1049, 2095, 267, 6908, 1599, 4794, 16667, 525, 519, 5487, 2897, 779, 454, 3225, 566, 454, 16498, 19043, 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, 293, 1601, 559, 4492, 18839, 454, 288, 3732, 540, 27294, 4371, 538, 519, 26187, 559, 4492, 18839, 7121, 454, 268, 476, 6642, 277, 281, 8892, 6992, 16014, 9436, 454, 268, 476, 1724, 269, 634, 5177, 1223, 5352, 3592, 3368, 922, 1648, 2115, 689, 13947, 2959, 267, 1519, 7622, 3653, 267, 6694, 22016, 543, 1753, 3766, 3497, 6915, 30669, 676, 476, 13078, 271, 454, 268, 31327, 538, 1382, 454, 268, 2480, 14563, 519, 2825, 543, 1514, 11640, 540, 24972, 12734, 1426, 2504, 538, 12986, 454, 268, 476, 15150, 277, 281, 12426, 8511, 3154, 17846, 454, 268, 8865, 5530, 3143, 269, 476, 4097, 281, 10312, 593, 7791, 1648, 454, 268, 27118, 21740, 6226, 3878, 454, 268, 476, 2641, 269, 31981, 540, 15837, 1025, 697, 4720, 1223, 948, 6705, 4339, 1394, 454, 268, 4197, 519, 3327, 543, 8511, 3154, 3666, 540, 7733, 538, 6628, 454, 268, 476, 14065, 271, 281, 6052, 543, 519, 1426, 1062, 454, 2467, 616, 4867, 1100, 23658, 20975, 538, 519, 26187, 559, 4492, 18839, 3296, 563, 8489, 2549, 594, 888, 763, 7046, 293, 3658, 7732, 568, 513, 1863, 2228, 5399, 3568, 3688, 540, 1719, 547, 9439, 543, 3173, 538, 519, 6694, 543, 2244, 22372, 6080, 269, 0, 21652, 4887, 8833, 454, 21652, 4887, 8833, 281, 4985, 454, 21652, 4887, 8833, 281, 28100, 547, 519, 1688, 6091, 1813, 547, 936, 3613, 4958, 4221, 540, 519, 4887, 5160, 269, 634, 3441, 3322, 751, 2130, 519, 4887, 5160, 269, 9540, 1973, 8043, 949, 849, 581, 8697, 799, 666, 2014, 20015, 2358, 269, 634, 2589, 949, 4268, 689, 7646, 547, 4049, 4470, 593, 519, 10335, 540, 519, 3441, 563, 5415, 2143, 1344, 827, 519, 2589, 2676, 8619, 4926, 267, 543, 5574, 540, 7435, 4887, 8833, 568, 2139, 2630, 563, 21618, 540, 7435, 4887, 8833, 454, 8450, 2407, 1592, 540, 476, 279, 454, 22131, 2402, 540, 7435, 4887, 8833, 454, 307, 805, 906, 585, 7435, 4887, 8833, 454, 268, 10163, 267, 4672, 267, 13496, 267, 15038, 267, 1928, 6646, 952, 2877, 267, 2899, 1928, 814, 7449, 3660, 7930, 6338, 1769, 15198, 3350, 547, 1683, 10009, 547, 519, 4299, 4887, 5160, 454, 268, 811, 5574, 1862, 14872, 454, 5649, 811, 827, 5574, 585, 7435, 4887, 8833, 454, 12709, 26616, 13281, 454, 12709, 2564, 4152, 1644, 547, 7435, 4887, 8833, 912, 268, 715, 2925, 11671, 15797, 281, 13565, 5851, 13281, 912, 310, 3994, 569, 13958, 2216, 609, 7435, 4887, 8833, 888, 27246, 540, 7435, 4887, 8833, 454, 5649, 811, 827, 3123, 540, 7435, 4887, 8833, 563, 21652, 4887, 8833, 281, 25613, 328, 30938, 17148, 454, 13349, 569, 3768, 328, 30938, 3676, 538, 1644, 2564, 6688, 912, 268, 715, 2925, 15136, 281, 3978, 3676, 4122, 3768, 328, 30938, 912, 268, 18127, 10266, 15136, 4534, 3978, 2564, 4713, 602, 949, 581, 3768, 328, 30938, 912, 268, 811, 3768, 328, 30938, 2175, 1862, 14872, 454, 300, 529, 10972, 1725, 2670, 543, 7435, 4887, 8833, 454, 26765, 25574, 693, 3781, 513, 5929, 1129, 281, 634, 10835, 540, 2348, 1850, 4887, 25574, 2676, 31860, 693, 3781, 267, 568, 513, 5929, 1129, 540, 3768, 328, 30938, 3987, 563, 4913, 267, 972, 616, 849, 1585, 824, 3123, 563, 8450, 3123, 540, 1850, 25574, 610, 3267, 1348, 811, 19314, 24791, 645, 1321, 10638, 896, 26817, 30938, 281, 634, 2783, 540, 12192, 645, 1321, 10638, 454, 529, 513, 2009, 3765, 10972, 1725, 2670, 540, 1585, 2175, 267, 971, 607, 2789, 26379, 3267, 1348, 811, 19314, 5649, 811, 827, 16700, 10972, 1725, 2670, 543, 7435, 4887, 8833, 454, 21652, 4887, 8833, 281, 3194, 24930, 1299, 7981, 1235, 454, 10932, 1644, 13500, 543, 2564, 12665, 912, 268, 26298, 543, 13106, 31517, 7981, 1235, 912, 268, 715, 2925, 7981, 1235, 912, 268, 10266, 7981, 1235, 912, 268, 1488, 9374, 1299, 17434, 2657, 7981, 1235, 630, 305, 515, 15436, 1108, 2187, 268, 811, 12665, 1862, 14872, 454, 8448, 4387, 267, 10629, 543, 11285, 1382, 2533, 912, 21652, 4887, 8833, 281, 1323, 574, 725, 454, 5415, 7435, 4887, 8833, 27515, 1299, 7044, 454, 3682, 3913, 2670, 585, 7435, 4887, 8833, 454, 3682, 3913, 2670, 585, 7435, 4887, 8833, 912, 7197, 2665, 8207, 1510, 2042, 607, 1279, 607, 519, 4887, 568, 1964, 539, 18481, 547, 1450, 7067, 269, 1290, 4124, 616, 16613, 563, 5415, 827, 23567, 540, 7435, 4887, 8833, 454, 21652, 4887, 8833, 281, 16340, 518, 13565, 11762, 454, 15650, 540, 7435, 4887, 8833, 454, 27165, 20308, 1280, 4548, 454, 5649, 827, 824, 2833, 267, 2307, 513, 2243, 827, 7435, 4887, 8833, 267, 610, 2626, 2576, 3116, 781, 2243, 267, 593, 938, 5048, 12545, 912, 6944, 757, 585, 7435, 4887, 8833, 912, 14872, 8921, 2985, 281, 1548, 568, 7435, 4887, 8833, 888, 21357, 13088, 1299, 15080, 912, 307, 8962, 1299, 7896, 912, 2690, 4548, 1299, 24606, 4425, 1841, 454, 268, 9105, 610, 2626, 513, 2243, 693, 519, 4425, 1841, 281, 0, 28770, 11765, 4972, 5004, 540, 24658, 16629, 783, 2906, 303, 19948, 3690, 5296, 454, 28770, 11765, 4972, 5004, 540, 24658, 16629, 783, 2906, 11404, 28513, 454, 1607, 6881, 267, 834, 28770, 11765, 4972, 5004, 540, 24658, 16629, 783, 2906, 2223, 729, 5423, 607, 513, 1857, 3028, 676, 519, 2657, 8212, 5980, 585, 6413, 5234, 2866, 563, 763, 6881, 2882, 6158, 2798, 593, 519, 11872, 3817, 267, 799, 666, 581, 9763, 952, 596, 979, 547, 519, 11711, 32386, 543, 834, 24591, 1306, 257, 513, 17948, 3758, 547, 707, 2780, 563, 763, 6158, 2798, 616, 3177, 609, 1142, 13472, 547, 4217, 519, 1459, 518, 538, 16460, 2055, 269, 898, 568, 711, 4397, 602, 782, 519, 1344, 538, 519, 6158, 2798, 786, 581, 4843, 1282, 519, 2866, 563, 763, 6881, 666, 581, 12995, 547, 3514, 519, 2115, 540, 519, 3593, 269, 634, 4589, 7662, 602, 602, 3617, 5316, 1081, 581, 2016, 585, 713, 1570, 543, 1131, 899, 547, 917, 945, 568, 9306, 621, 543, 547, 1018, 2516, 269, 2334, 1344, 543, 8292, 949, 581, 2366, 547, 7603, 549, 671, 570, 269, 17312, 6199, 267, 12854, 267, 17459, 16026, 2657, 3590, 267, 693, 18078, 17106, 11333, 3820, 563, 9928, 2100, 540, 9751, 454, 23322, 2524, 540, 9357, 1944, 5982, 543, 14599, 2326, 454, 17843, 2747, 1063, 5982, 4598, 543, 14599, 1570, 12526, 454, 1805, 3530, 5982, 4027, 5773, 543, 2853, 454, 9928, 2100, 540, 9751, 630, 6944, 8094, 15031, 1304, 4879, 543, 2359, 540, 14599, 1570, 12526, 543, 5982, 7063, 454, 10890, 2360, 540, 8650, 543, 5312, 5982, 4598, 454, 296, 517, 1944, 5982, 568, 5982, 5827, 540, 18836, 532, 922, 1648, 547, 519, 1560, 543, 4929, 3114, 2242, 563, 296, 517, 1944, 5982, 568, 19501, 676, 912, 268, 15571, 5562, 1570, 563, 5278, 3457, 971, 607, 1535, 11920, 6191, 563, 15650, 540, 594, 517, 1944, 24658, 24488, 3487, 2873, 17547, 6244, 676, 513, 6656, 540, 1957, 29530, 3487, 2873, 17547, 6244, 676, 513, 4494, 540, 7802, 610, 1447, 982, 606, 10759, 540, 513, 6219, 630, 324, 3052, 269, 5068, 264, 717, 10397, 681, 904, 17547, 6244, 676, 6279, 547, 3952, 540, 6405, 610, 1447, 982, 606, 10759, 540, 1291, 24658, 11905, 454, 20238, 2747, 19590, 12763, 540, 2549, 870, 540, 14599, 1570, 594, 517, 1436, 538, 2011, 12559, 528, 5523, 1648, 829, 2527, 12559, 528, 5523, 9570, 22051, 676, 1826, 540, 5982, 1280, 1034, 2010, 540, 5982, 476, 272, 681, 476, 272, 2234, 476, 272, 1121, 10829, 640, 11314, 22452, 12559, 528, 5523, 667, 846, 667, 846, 4982, 20884, 5149, 1225, 773, 630, 290, 328, 264, 887, 550, 2102, 630, 305, 264, 2234, 1121, 454, 20238, 1470, 5562, 1570, 5161, 540, 8444, 609, 18633, 22140, 563, 763, 8444, 31380, 1689, 630, 20657, 599, 264, 547, 811, 7123, 3029, 543, 12520, 5982, 563, 288, 1268, 945, 568, 13572, 814, 14599, 1570, 593, 1010, 17017, 2960, 610, 3330, 1010, 17017, 1560, 630, 324, 3052, 1421, 32480, 267, 28453, 267, 610, 10138, 12526, 1916, 11742, 630, 514, 3764, 267, 3108, 267, 2395, 267, 610, 1296, 264, 2838, 585, 519, 2534, 540, 513, 14599, 1570, 547, 6175, 676, 835, 3368, 1813, 547, 14599, 9178, 454, 11742, 2838, 585, 519, 1560, 547, 9004, 3368, 540, 519, 14599, 1570, 630, 24119, 1742, 593, 519, 3114, 1106, 994, 763, 2121, 1198, 540, 519, 4999, 540, 519, 2168, 543, 6211, 3368, 2000, 1161, 538, 9427, 519, 14599, 1570, 689, 519, 1560, 454, 295, 2788, 2000, 1161, 2039, 689, 8454, 540, 7643, 547, 6634, 540, 1296, 454, 272, 670, 299, 815, 476, 2004, 260, 476, 273, 670, 299, 815, 476, 1839, 260, 476, 274, 670, 299, 815, 476, 1321, 269, 276, 14999, 14300, 540, 15571, 5562, 10049, 8447, 7101, 542, 16090, 728, 21009, 21509, 11314, 2422, 595, 10901, 268, 15389, 265, 476, 1789, 586, 3464, 476, 272, 269, 276, 1535, 476, 1015, 476, 277, 595, 328, 5253, 7054, 2784, 328, 1807, 595, 28240, 268, 2568, 476, 276, 586, 3464, 476, 1428, 267, 1822, 595, 328, 9435, 10657, 1773, 583, 28016, 268, 26839, 476, 2190, 267, 1822, 586, 3464, 476, 7785, 595, 328, 17437, 1284, 777, 517, 594, 5090, 1756, 268, 4572, 476, 10619, 2395, 476, 1911, 595, 328, 11633, 7101, 25086, 25756, 268, 274, 476, 1321, 586, 3464, 476, 1321, 595, 328, 1401, 527, 20050, 853, 3224, 1756, 268, 3445, 476, 3066, 586, 3464, 476, 271, 269, 272, 595, 328, 16685, 10657, 27620, 594, 617, 710, 268, 14530, 476, 279, 2395, 476, 271, 269, 27888, 595, 328, 17437, 6925, 10657, 3353, 564, 1756, 268, 4200, 332, 476, 277, 31477, 476, 271, 269, 28276, 595, 328, 26616, 24919, 1398, 1756, 268, 25240, 476, 28242, 586, 3464, 476, 271, 269, 1822, 22650, 595, 328, 3911, 5803, 23618, 832, 7101, 517, 268, 19442, 476, 275, 2395, 476, 272, 533, 290, 328, 15828, 7025, 5426, 2608, 15783, 946, 538, 2234, 8344, 24980, 3926, 454, 15650, 540, 24658, 18171, 1841, 454, 2750, 4156, 22452, 20620, 2662, 1961, 23073, 610, 9864, 23073, 630, 7224, 5982, 9651, 547, 661, 5960, 5234, 994, 2750, 4156, 14599, 1570, 281, 593, 519, 2960, 454, 1103, 4156, 14599, 1570, 281, 31067, 267, 15179, 539, 267, 12842, 998, 2960, 610, 16398, 454, 299, 739, 23995, 18036, 2564, 610, 4853, 14599, 2959, 454, 20238, 8344, 29371, 3926, 630, 323, 8812, 10514, 994, 16920, 871, 593, 610, 26453, 582, 720, 540, 513, 6046, 9744, 454, 20181, 3917, 1752, 6046, 14049, 454, 9928, 2100, 540, 7926, 7926, 7089, 540, 12280, 338, 4107, 12280, 338, 9603, 547, 24658, 6452, 1211, 7183, 22077, 1168, 24658, 15571, 5562, 2598, 11825, 531, 27620, 23225, 270, 9556, 4733, 630, 12831, 1742, 593, 2450, 540, 16411, 543, 16133, 540, 7606, 264, 2349, 770, 23247, 8899, 25286, 1752, 17437, 1284, 777, 517, 14066, 630, 324, 3052, 1421, 9937, 540, 5215, 538, 606, 4683, 1858, 1256, 689, 476, 271, 269, 272, 737, 307, 14049, 264, 24658, 22452, 2349, 770, 23247, 26365, 31293, 12096, 719, 630, 12831, 1742, 593, 20028, 994, 14737, 4476, 942, 6170, 2282, 5982, 2959, 563, 20238, 2747, 10466, 26805, 24658, 22452, 454, 14611, 1555, 31062, 4052, 3845, 689, 5982, 2707, 563, 20278, 14599, 2959, 538, 513, 1291, 8708, 563, 2414, 23423, 5516, 326, 1853, 667, 846, 547, 476, 276, 1121, 20028, 15580, 13773, 942, 476, 272, 10264, 476, 1321, 269, 276, 681, 10774, 337, 476, 2190, 1295, 476, 273, 10264, 476, 274, 269, 272, 681, 10774, 337, 476, 272, 269, 277, 32162, 476, 276, 10264, 476, 271, 269, 276, 681, 10774, 337, 476, 1015, 32162, 476, 279, 10264, 476, 271, 269, 273, 681, 10774, 337, 476, 1839, 32162, 454, 6944, 8727, 568, 2653, 547, 3713, 543, 1034, 540, 621, 666, 581, 6569, 563, 2005, 568, 1360, 12691, 602, 11581, 5234, 786, 4309, 1804, 5982, 13066, 689, 8156, 13572, 2550, 563, 28406, 532, 16065, 689, 2552, 8727, 454, 10287, 8471, 15416, 563, 20776, 3272, 3946, 543, 7802, 609, 5982, 11281, 563, 3725, 2897, 13572, 17309, 610, 7802, 563, 16605, 519, 960, 1858, 1863, 540, 12526, 563, 22709, 16629, 783, 2906, 267, 2552, 3133, 730, 855, 1133, 514, 329, 3293, 4658, 267, 543, 1937, 3072, 4270, 454, 2304, 10071, 3361, 676, 6046, 18483, 949, 1711, 1804, 2338, 540, 13572, 1004, 945, 616, 711, 13676, 543, 14126, 1004, 945, 949, 711, 581, 13676, 610, 13572, 563, 9288, 9778, 1590, 581, 3144, 547, 2061, 891, 1004, 689, 11566, 519, 6595, 8257, 563, 288, 2468, 720, 3135, 1058, 581, 3964, 3544, 519, 11581, 547, 18448, 971, 1004, 543, 31818, 873, 547, 3617, 6753, 563, 307, 5846, 3135, 1058, 581, 5234, 539, 609, 2564, 5234, 543, 3354, 10986, 563, 7093, 8619, 1903, 1058, 581, 3144, 865, 602, 1004, 3112, 2057, 519, 2468, 720, 4099 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 327, 21516, 676, 7917, 654, 6506, 9956, 779, 14313, 676, 6424, 2142, 1324, 2023, 6682, 639, 676, 6424, 15593, 332, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13328, 9085, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 22414, 9085, 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, 8641, 12642, 814, 7153, 607, 513, 2565, 1907, 538, 519, 2361, 540, 1239, 2257, 543, 1239, 12642, 267, 3226, 1369, 519, 2796, 540, 8804, 2029, 269, 901, 4359, 10763, 4480, 3322, 6313, 11708, 267, 799, 616, 6310, 3889, 1031, 547, 2203, 6292, 3772, 3347, 1063, 3615, 267, 547, 17589, 6209, 4030, 269, 769, 713, 3296, 267, 649, 786, 5490, 883, 519, 17950, 540, 3113, 12642, 267, 922, 3156, 538, 8804, 2029, 267, 543, 930, 540, 519, 2591, 2404, 609, 7598, 891, 2553, 780, 2414, 2253, 267, 1577, 781, 5581, 1018, 649, 1611, 676, 513, 3113, 269, 589, 3113, 5161, 540, 1079, 3334, 281, 14622, 630, 10193, 1634, 607, 9136, 264, 543, 8728, 269, 20539, 1182, 2099, 1367, 9988, 610, 3615, 267, 1247, 8728, 20301, 519, 4296, 610, 3347, 1063, 1346, 9988, 269, 1280, 1383, 267, 538, 513, 1514, 3060, 267, 14622, 1522, 5330, 547, 2043, 267, 543, 8728, 1223, 5815, 17052, 610, 824, 2010, 540, 4205, 269, 1635, 7421, 519, 2497, 540, 891, 11708, 543, 7114, 3270, 1369, 873, 267, 649, 666, 10625, 3407, 1344, 827, 519, 5817, 1949, 789, 2099, 780, 3080, 1271, 3498, 540, 3113, 12642, 6013, 538, 12611, 7020, 269, 11038, 5238, 4308, 609, 5318, 5666, 540, 6223, 1308, 1239, 3232, 267, 1818, 621, 4101, 547, 2697, 19035, 2534, 16924, 269, 1717, 267, 1210, 3113, 6620, 971, 607, 2146, 7020, 610, 3095, 2079, 267, 19767, 666, 3713, 18811, 748, 2623, 3270, 602, 949, 2303, 30081, 2238, 269, 7991, 7020, 6620, 1895, 1927, 5702, 4448, 14622, 267, 13031, 13421, 540, 6589, 602, 4749, 2170, 609, 835, 1776, 269, 1452, 2950, 666, 1287, 581, 3379, 1996, 4397, 2623, 3270, 267, 3850, 19767, 547, 9206, 1022, 8966, 8852, 585, 2417, 7634, 269, 13017, 2079, 6620, 267, 593, 519, 824, 1688, 267, 4983, 519, 3601, 540, 1367, 8728, 1369, 513, 3113, 267, 3067, 4328, 741, 4222, 1759, 593, 2188, 899, 4908, 610, 8653, 269, 1635, 9236, 6316, 12035, 2066, 1114, 2694, 540, 519, 3113, 267, 19767, 666, 22942, 5732, 30081, 6402, 602, 15549, 6251, 6514, 780, 5194, 1883, 1858, 1141, 3113, 12642, 4249, 513, 1713, 1909, 568, 1981, 2359, 269, 11038, 3906, 1590, 16111, 2708, 543, 11574, 4220, 2404, 609, 1585, 5092, 2994, 267, 2344, 2175, 267, 543, 11218, 344, 23927, 269, 30855, 3113, 6620, 6087, 19767, 547, 4020, 1950, 5121, 8204, 22524, 2570, 4293, 1851, 3309, 7221, 267, 9922, 267, 610, 10923, 4525, 269, 3414, 31344, 1275, 3800, 899, 4110, 267, 804, 4923, 612, 267, 610, 1063, 1145, 267, 891, 5121, 666, 7866, 2629, 9136, 4171, 5821, 1131, 723, 22107, 8172, 2360, 2429, 519, 1062, 269, 3958, 267, 676, 7311, 24159, 2409, 899, 737, 24578, 753, 610, 21712, 4903, 331, 9593, 894, 24159, 267, 19767, 666, 10126, 2823, 31987, 883, 3982, 2516, 1759, 593, 10486, 538, 1981, 12632, 267, 14123, 1732, 29159, 543, 15949, 3101, 2994, 780, 4913, 267, 7598, 3113, 12642, 3435, 538, 8804, 2029, 849, 6799, 1896, 2591, 269, 2290, 2101, 19224, 548, 12211, 547, 25382, 1107, 2757, 3113, 4393, 10850, 1419, 6560, 547, 6023, 7372, 14449, 5627, 17542, 540, 14622, 543, 8728, 269, 18641, 267, 8441, 538, 7856, 7384, 25121, 543, 6252, 4393, 2553, 723, 3366, 547, 519, 1646, 540, 811, 3608, 2645, 5827, 540, 7829, 1804, 8397, 3113, 2042, 269, 28833, 16902, 1429, 267, 27910, 8641, 311, 267, 543, 32286, 275, 329, 616, 8037, 1806, 540, 971, 10850, 602, 2709, 7347, 1489, 585, 3113, 26398, 693, 4336, 780, 7468, 643, 2329, 4145, 13822, 1776, 4161, 950, 11766, 532, 3113, 12642, 538, 8804, 2029, 269, 9717, 519, 6213, 2470, 540, 2883, 1239, 267, 7863, 1367, 7834, 3587, 14063, 269, 27018, 7834, 267, 513, 9621, 1935, 602, 8591, 5402, 26215, 730, 6846, 547, 13214, 2164, 267, 3091, 513, 1761, 3070, 676, 4180, 602, 519, 4527, 610, 9000, 540, 1022, 2582, 2594, 1281, 711, 3648, 1764, 519, 6364, 269, 2755, 11186, 7834, 12857, 930, 4123, 26160, 538, 2474, 540, 6111, 267, 621, 2488, 2178, 18715, 3823, 1367, 22637, 267, 7551, 7175, 3743, 946, 540, 3113, 12642, 538, 8804, 2029, 780, 1103, 3932, 267, 3113, 12642, 4564, 513, 3532, 1305, 540, 2553, 585, 3541, 1516, 4030, 689, 1950, 267, 10562, 1239, 2959, 11342, 538, 8804, 2029, 269, 3245, 12611, 7020, 547, 1981, 2359, 267, 891, 2409, 1683, 19767, 609, 3209, 2081, 547, 2263, 543, 1174, 6946, 3347, 6456, 1369, 5318, 7708, 1407, 540, 6223, 1308, 5638, 269, 6736, 29886, 2591, 1644, 547, 25382, 543, 7834, 11091, 267, 4797, 5647, 538, 1312, 5690, 545, 1374, 543, 8800, 5989, 14767, 547, 12260, 1256, 3152, 1871, 689, 3113, 12642, 538, 1296, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 12099, 5303, 24436, 267, 16103, 543, 14351, 16071, 454, 289, 12864, 476, 273, 267, 31696, 267, 12010, 266, 8804, 2029, 6006, 6337, 543, 2592, 2139, 267, 610, 3406, 585, 535, 842, 3663, 610, 2029, 547, 1265, 811, 1390, 6006, 6337, 543, 5961, 563, 325, 12099, 2029, 1239, 454, 325, 12099, 2029, 3432, 454, 325, 12099, 2029, 1870, 454, 325, 12099, 2029, 25129, 454, 21745, 1388, 8804, 2029, 454, 325, 12099, 2029, 7493, 454, 325, 12099, 2029, 4282, 454, 26051, 8804, 2029, 454, 325, 12099, 2029, 24069, 454, 325, 12099, 2029, 3113, 454, 325, 12099, 2029, 1781, 545, 788, 1460, 454, 325, 12099, 2029, 19052, 14940, 454, 8234, 3249, 8804, 2029, 454, 325, 12099, 2029, 12835, 454, 325, 12099, 2029, 524, 10604, 454, 322, 2734, 622, 8804, 2029, 454, 24618, 630, 325, 1371, 593, 2342, 264, 6719, 676, 2370, 15956, 267, 9352, 3009, 543, 3515, 910, 2462, 1239, 267, 2518, 1870, 267, 15170, 476, 274, 291, 11904, 454, 19968, 2021, 4974, 12125, 543, 12222, 593, 3059, 16979, 2673, 1575, 269, 6355, 11401, 1523, 454, 21129, 2574, 3113, 593, 2029, 7493, 4282, 2099, 2883, 6433, 267, 21129, 2574, 15835, 6658, 454, 21930, 4807, 2324, 693, 2413, 522, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20877, 24630, 257, 607, 851, 540, 834, 28035, 1315, 4578, 3163, 1315, 4578, 24630, 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, 4495, 2390, 513, 942, 267, 538, 513, 2244, 4904, 609, 4778, 543, 5546, 267, 5030, 1079, 1655, 2828, 3957, 15039, 543, 7665, 269, 1358, 6068, 3695, 741, 1158, 1927, 543, 1565, 1007, 1919, 1169, 1554, 269, 2290, 13566, 12784, 267, 789, 16686, 2390, 513, 12357, 1433, 1572, 834, 3412, 698, 2044, 8092, 1701, 1306, 4166, 607, 789, 8118, 621, 267, 789, 941, 16487, 883, 513, 4158, 543, 1350, 334, 3912, 1747, 1141, 3388, 729, 18707, 540, 12457, 780, 299, 1176, 6743, 1472, 543, 1767, 267, 834, 32452, 267, 7665, 256, 901, 1747, 5654, 865, 8909, 543, 24949, 267, 899, 2576, 20595, 856, 782, 519, 21386, 10590, 7665, 21330, 543, 14452, 267, 834, 8133, 267, 621, 1281, 1745, 5230, 543, 25356, 267, 1175, 899, 602, 2025, 21489, 649, 4718, 2063, 3018, 2282, 6004, 269, 9652, 781, 2777, 1701, 22582, 267, 789, 15422, 1018, 6004, 269, 9652, 5143, 873, 910, 3615, 10110, 1648, 689, 741, 10450, 267, 4657, 741, 3601, 1759, 593, 519, 1826, 540, 1648, 789, 4309, 269, 769, 713, 2013, 267, 519, 2899, 7524, 22569, 2044, 8092, 1185, 12842, 1932, 1454, 2942, 1648, 267, 7432, 621, 20585, 543, 27865, 517, 748, 780, 2026, 789, 4797, 741, 3460, 267, 789, 11402, 1585, 2592, 602, 1500, 873, 13943, 1107, 8325, 4522, 267, 555, 1941, 344, 24712, 267, 8781, 3595, 269, 3962, 3239, 6719, 1114, 4664, 4448, 547, 2530, 267, 10845, 267, 610, 4250, 269, 1452, 2178, 6547, 18056, 15039, 540, 950, 1352, 18417, 20109, 513, 3905, 23041, 267, 4929, 7525, 1928, 1813, 547, 3002, 4483, 1063, 519, 23041, 543, 1200, 1688, 269, 2701, 7691, 891, 3308, 11269, 2813, 2147, 17915, 3330, 1200, 1560, 1510, 1022, 2168, 3346, 780, 30342, 16397, 676, 519, 8515, 540, 891, 2833, 267, 15039, 543, 7665, 4956, 547, 4734, 22569, 2044, 8092, 269, 1717, 267, 1354, 13059, 1753, 267, 789, 4941, 547, 948, 11177, 930, 3666, 547, 519, 964, 25544, 7706, 269, 4635, 19141, 2016, 676, 11427, 269, 5682, 6199, 267, 945, 6026, 873, 827, 8086, 543, 1201, 3555, 267, 789, 16559, 11954, 1769, 2066, 519, 5251, 269, 20405, 569, 855, 15983, 267, 23456, 540, 4544, 6607, 267, 3039, 6371, 267, 543, 2699, 5810, 3459, 17729, 9624, 519, 1178, 903, 7051, 29278, 780, 4415, 17105, 4126, 267, 15039, 543, 7665, 530, 8491, 1434, 25742, 547, 519, 1631, 17321, 22569, 2044, 8092, 269, 4014, 789, 7948, 1405, 4625, 32135, 519, 29886, 2258, 18356, 267, 789, 6956, 602, 1256, 1507, 3527, 1223, 3142, 2318, 1689, 269, 6884, 267, 938, 4664, 666, 1860, 721, 25340, 267, 855, 952, 649, 1451, 547, 4383, 1346, 4606, 4020, 1947, 267, 649, 666, 2981, 6000, 543, 938, 1604, 585, 519, 1732, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 28097, 519, 946, 540, 11052, 538, 31506, 16129, 1773, 987, 781, 6648, 1412, 291, 23098, 262, 543, 875, 621, 8309, 547, 519, 2949, 2495, 540, 519, 6648, 563, 306, 2643, 16129, 1773, 987, 781, 6648, 1412, 291, 23098, 262, 568, 513, 3532, 6648, 602, 9607, 4798, 540, 16236, 267, 15746, 267, 543, 8194, 269, 634, 946, 540, 11052, 2429, 519, 6648, 568, 3844, 547, 23187, 922, 4798, 543, 2870, 922, 2949, 2495, 780, 763, 6648, 568, 14869, 539, 538, 14984, 543, 1471, 30844, 11052, 267, 799, 568, 5497, 547, 1711, 513, 1471, 30844, 5114, 538, 519, 5467, 269, 634, 6679, 1899, 267, 834, 2791, 798, 711, 798, 267, 596, 798, 711, 798, 1315, 7102, 811, 267, 3109, 21489, 257, 5036, 519, 3942, 585, 519, 3003, 6648, 269, 634, 946, 540, 519, 2681, 3109, 568, 1419, 2404, 609, 14334, 267, 31366, 267, 543, 1928, 267, 7551, 9591, 519, 3159, 543, 7099, 540, 519, 6648, 269, 634, 21489, 3239, 568, 606, 5140, 1383, 540, 1773, 987, 781, 5578, 995, 946, 540, 11052, 269, 634, 21489, 3239, 5267, 1945, 602, 814, 1044, 12816, 856, 267, 1031, 909, 267, 543, 1100, 3476, 5713, 513, 3483, 267, 799, 568, 12572, 540, 519, 10584, 781, 26568, 2078, 609, 1200, 4651, 780, 5522, 987, 18271, 12667, 11052, 547, 6655, 1200, 1950, 4606, 705, 537, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 6092, 5149, 281, 4197, 3465, 5524, 744, 7032, 6950, 543, 4256, 8177, 593, 19198, 692, 7072, 912, 20756, 972, 256, 5620, 596, 2479, 4862, 827, 13310, 5061, 286, 1452, 616, 11955, 11311, 676, 7189, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 2165, 968, 1529, 2435, 892, 4016, 547, 519, 2259, 540, 1426, 7041, 269, 4706, 8129, 616, 538, 5929, 5824, 267, 543, 849, 621, 4422, 1394, 547, 519, 476, 1626, 628, 2540, 269, 634, 32204, 2262, 15074, 514, 1794, 29755, 610, 3434, 267, 10522, 968, 1729, 1118, 2223, 543, 621, 729, 6700, 602, 713, 2165, 581, 32543, 22004, 547, 519, 2296, 1893, 269, 634, 4207, 11477, 1158, 11363, 5876, 267, 11450, 267, 543, 849, 4693, 543, 5470, 547, 2046, 10665, 607, 1134, 607, 5818, 519, 2298, 540, 1426, 543, 849, 20892, 3070, 563, 1103, 519, 2250, 267, 11477, 6575, 941, 11658, 547, 22730, 538, 18226, 24284, 269, 16480, 267, 2221, 267, 972, 568, 2370, 3017, 538, 1063, 5375, 543, 849, 7489, 32345, 267, 543, 1053, 540, 519, 3434, 7685, 616, 7363, 6534, 547, 3536, 689, 1472, 519, 8608, 269, 901, 1463, 4598, 2337, 873, 547, 1118, 24084, 2989, 5079, 3823, 1018, 547, 3434, 269, 1656, 849, 621, 10123, 2337, 873, 3356, 543, 849, 3063, 3860, 7282, 741, 1426, 7041, 269, 1924, 267, 596, 666, 2253, 707, 2816, 609, 513, 4110, 538, 11477, 6575, 269, 898, 779, 513, 1390, 4876, 4781, 2336, 763, 11477, 6575, 616, 513, 9735, 4876, 602, 568, 14785, 607, 1134, 607, 4277, 269, 4014, 596, 1223, 711, 723, 2965, 2479, 1354, 2219, 540, 2324, 538, 513, 13962, 267, 713, 13567, 1576, 666, 4217, 596, 1205, 1995, 538, 1585, 5686, 540, 1426, 7041, 269, 1411, 666, 1599, 607, 513, 27697, 13930, 538, 513, 5386, 18226, 10661, 267, 610, 960, 693, 513, 3728, 1426, 13962, 269, 634, 3681, 616, 3970, 1652, 267, 543, 849, 596, 3580, 723, 519, 2702, 547, 2744, 707, 5326, 2816, 538, 513, 2731, 2110, 2179, 540, 942, 563, 288, 11477, 6575, 2816, 3335, 6238, 538, 513, 10051, 267, 3257, 8286, 267, 543, 849, 4909, 5986, 269, 898, 568, 1898, 547, 581, 11684, 547, 519, 11112, 1604, 607, 1134, 607, 547, 581, 6126, 547, 798, 8726, 568, 2877, 269, 1306, 707, 1983, 3986, 267, 596, 666, 1847, 909, 519, 4876, 21117, 543, 849, 2097, 547, 581, 513, 2212, 27697, 540, 707, 1360, 1378, 18226, 10661, 269, 901, 5267, 23622, 593, 9591, 1426, 5542, 2472, 607, 1134, 607, 5883, 519, 960, 540, 1866, 538, 519, 10051, 1858, 269, 1656, 596, 3580, 2693, 2743, 930, 540, 707, 9053, 28245, 538, 713, 1858, 2336, 763, 3434, 7685, 13567, 6212, 593, 519, 10051, 1858, 543, 1426, 7041, 269, 589, 27697, 568, 513, 11477, 3318, 945, 22316, 8286, 585, 18226, 10661, 8436, 269, 589, 3434, 1522, 13404, 593, 835, 1826, 540, 1426, 267, 2943, 1034, 1419, 267, 513, 3434, 568, 513, 3434, 540, 782, 2010, 269, 769, 513, 18226, 10661, 267, 789, 616, 538, 5279, 540, 1818, 8286, 602, 786, 6157, 1118, 6800, 20938, 269, 901, 568, 513, 4876, 602, 10905, 513, 6612, 585, 1426, 607, 1134, 607, 513, 2816, 538, 5986, 269, 589, 18226, 10661, 568, 513, 18226, 10661, 267, 2943, 621, 779, 513, 3028, 267, 865, 519, 811, 2724, 596, 1118, 519, 811, 596, 666, 1491, 1753, 563, 11917, 8877, 513, 4876, 538, 519, 3434, 7685, 568, 513, 9735, 1505, 547, 1118, 513, 2713, 269, 1411, 666, 1599, 689, 15335, 610, 689, 513, 13962, 269, 1411, 666, 1256, 1599, 689, 15335, 269, 2368, 1004, 5660, 5986, 543, 849, 616, 13730, 3823, 519, 2344, 269, 1411, 666, 1265, 6009, 538, 519, 5986, 1858, 602, 5512, 596, 547, 798, 713, 267, 799, 568, 3226, 5363, 952, 596, 2972, 5986, 269, 589, 1390, 27697, 568, 11338, 513, 1390, 3434, 269, 1411, 3580, 991, 547, 581, 11684, 950, 596, 616, 8600, 8286, 267, 543, 849, 596, 666, 581, 22537, 547, 606, 3742, 960, 1604, 563, 11917, 8877, 606, 13567, 538, 519, 5986, 2361, 568, 513, 1390, 3903, 585, 1346, 609, 606, 1719, 585, 1426, 7041, 269, 2755, 519, 5986, 1158, 568, 513, 1630, 4040, 2872, 267, 621, 666, 11338, 581, 606, 5140, 2707, 540, 4747, 269, 3509, 2043, 602, 7500, 538, 519, 18226, 10661, 2344, 723, 513, 4110, 538, 519, 2361, 540, 5986, 269, 6787, 596, 2461, 513, 20194, 610, 513, 11285, 267, 621, 779, 2653, 547, 1265, 513, 2816, 602, 17015, 707, 1983, 269, 3807, 581, 2386, 547, 1353, 543, 4334, 519, 6035, 3255, 563, 288, 11477, 4110, 666, 581, 513, 8748, 1797, 547, 1376, 513, 4876, 538, 519, 18226, 10661, 2344, 269, 1306, 1279, 607, 596, 723, 513, 6612, 585, 5986, 267, 972, 779, 1100, 3815, 547, 16718, 596, 689, 13197, 513, 11477, 4876, 269, 1306, 513, 3434, 267, 596, 3580, 581, 2111, 547, 1711, 26345, 10346, 602, 786, 6157, 581, 6068, 676, 707, 6800, 269, 1656, 2094, 513, 2816, 538, 519, 13962, 2872, 568, 606, 5140, 1858, 547, 1599, 267, 596, 3580, 581, 2111, 547, 7118, 2724, 1932, 563, 11917, 8877, 513, 11477, 4110, 666, 581, 606, 5140, 1505, 547, 4434, 707, 4876, 538, 519, 13962, 2344, 269, 3502, 1152, 666, 596, 1599, 607, 513, 27697, 267, 2943, 596, 666, 10123, 1599, 607, 513, 9614, 538, 513, 18226, 10661, 269, 1635, 7446, 513, 5986, 1377, 267, 596, 3580, 581, 1134, 1790, 10517, 1563, 547, 581, 3811, 538, 1022, 540, 891, 4610, 269, 3683, 942, 267, 596, 3580, 723, 519, 2702, 547, 7118, 513, 2713, 689, 707, 3924, 269, 1656, 849, 952, 596, 2648, 1018, 596, 798, 267, 596, 3580, 581, 2111, 547, 7118, 2724, 538, 519, 13962, 2344, 563, 763, 3434, 7685, 616, 711, 1175, 585, 22730, 538, 14060, 269, 898, 11338, 2882, 513, 3099, 540, 824, 11678, 602, 27167, 519, 7041, 540, 1426, 269, 1306, 513, 27697, 267, 596, 666, 1020, 10624, 1919, 585, 513, 18226, 10661, 610, 4324, 513, 3246, 1870, 269, 1411, 666, 10123, 7500, 538, 513, 6413, 5986, 1858, 610, 513, 13962, 607, 513, 27697, 269, 2353, 540, 891, 7158, 991, 606, 4274, 2069, 543, 1565, 538, 519, 11477, 1858, 269, 1358, 786, 2154, 547, 723, 513, 8994, 1620, 540, 519, 4791, 1062, 2059, 609, 513, 2648, 585, 519, 1148, 563, 2467, 616, 3875, 3924, 8925, 538, 519, 11477, 1858, 269, 1703, 616, 29397, 538, 14060, 267, 3694, 29397, 267, 543, 1454, 811, 269, 13575, 267, 519, 3434, 7685, 1331, 782, 22825, 602, 4125, 519, 7041, 540, 1426, 269, 6787, 621, 568, 513, 10051, 513, 728, 610, 513, 13962, 28643, 267, 596, 666, 7500, 538, 519, 5823, 269, 1403, 596, 1616, 547, 960, 538, 519, 1426, 3028, 267, 621, 568, 2556, 547, 723, 513, 6612, 585, 1426, 7041, 543, 849, 5986, 269, 634, 1360, 1655, 1797, 547, 1376, 606, 13567, 538, 713, 1858, 568, 676, 15388, 3434, 7685, 563, 2304, 13567, 538, 519, 5986, 2361, 568, 606, 5140, 1797, 547, 1205, 606, 2069, 543, 1565, 538, 1072, 543, 9716, 543, 849, 6646, 269, 3502, 1175, 798, 11477, 10453, 3605, 1175, 875, 547, 5965, 267, 855, 789, 10123, 10536, 1995, 538, 519, 1158, 540, 5986, 269, 901, 568, 1946, 621, 779, 4105, 547, 4983, 519, 11477, 6575, 269, 1656, 3314, 602, 519, 1454, 811, 596, 1451, 827, 1426, 7041, 267, 519, 1454, 1732, 269, 1656, 952, 596, 2461, 513, 1426, 773, 267, 596, 3580, 581, 2111, 547, 1020, 8286, 585, 707, 1920, 543, 2828, 563, 2791, 666, 2253, 513, 2816, 538, 519, 3434, 7685, 676, 2324, 607, 513, 5986, 1858, 13930, 269, 1306, 513, 10051, 1858, 13930, 267, 596, 786, 581, 3743, 585, 8670, 31290, 543, 849, 5986, 269, 1411, 786, 6157, 2154, 547, 581, 8465, 607, 1134, 607, 2469, 547, 798, 8726, 568, 1572, 585, 538, 519, 10051, 269, 1306, 707, 5759, 607, 1134, 607, 6015, 4473, 267, 596, 3580, 581, 2111, 547, 1118, 11108, 10346, 585, 513, 2039, 540, 5561, 269, 1411, 3580, 11338, 581, 3743, 585, 2324, 609, 824, 10051, 1858, 2319, 269, 901, 568, 513, 17512, 881, 2816, 3903, 585, 1004, 602, 2648, 547, 3434, 269, 1411, 666, 1265, 856, 811, 454, 2467, 616, 6266, 540, 22825, 538, 519, 5986, 2344, 269, 3245, 1373, 513, 27697, 547, 1373, 513, 18226, 10661, 32388, 528, 267, 972, 779, 513, 2898, 2603, 547, 1451, 811, 827, 1426, 269, 898, 779, 513, 3728, 19550, 267, 14053, 2344, 269, 1717, 952, 596, 2461, 8149, 547, 621, 267, 596, 3580, 2972, 519, 1426, 543, 519, 7965, 621, 6770, 269, 1656, 972, 779, 4986, 2484, 1732, 982, 1620, 602, 596, 2461, 2111, 547, 1599, 607, 513, 3318, 269, 2060, 707, 18230, 12333, 5426, 267, 596, 3580, 723, 519, 2702, 547, 4019, 519, 3434, 7685, 1702, 547, 1022, 1858, 269, 0, 297, 2002, 6167, 19168, 15048, 593, 4139, 4303, 585, 4658, 540, 3979, 2677, 1417, 1107, 476, 1708, 273, 454, 4029, 4864, 476, 1708, 273, 454, 9213, 7436, 519, 4139, 4303, 585, 4658, 540, 3979, 2677, 1417, 267, 9976, 585, 519, 1101, 942, 593, 476, 4029, 4864, 476, 1708, 272, 269, 968, 7437, 713, 17325, 766, 519, 2136, 8315, 6663, 547, 3895, 519, 9058, 7418, 540, 519, 3979, 29563, 1472, 519, 1158, 543, 547, 9004, 782, 3029, 540, 7130, 1996, 1004, 540, 3979, 16350, 3034, 1103, 513, 3948, 9783, 2221, 267, 519, 6167, 538, 19168, 862, 1742, 19168, 585, 519, 1585, 7341, 17298, 547, 4434, 3084, 543, 2518, 7029, 2509, 2679, 513, 6793, 2104, 585, 4000, 543, 519, 29563, 563, 2026, 649, 8661, 519, 3309, 6561, 543, 2528, 540, 1004, 540, 3979, 16350, 543, 741, 11999, 9295, 547, 938, 7239, 2429, 1686, 267, 519, 6167, 14199, 29731, 267, 538, 1010, 5048, 547, 1665, 519, 4303, 267, 4967, 602, 968, 17524, 687, 540, 1004, 540, 3979, 16350, 1496, 19925, 519, 1158, 316, 616, 1869, 1641, 547, 10168, 543, 7184, 31737, 543, 11528, 7292, 7130, 1848, 901, 1590, 3247, 269, 634, 6167, 14199, 29731, 4061, 7125, 585, 519, 2407, 2463, 540, 519, 1480, 2924, 543, 4909, 22624, 540, 1004, 540, 3979, 2677, 1417, 269, 6270, 18670, 540, 519, 2924, 540, 1004, 540, 3979, 16350, 1590, 581, 2699, 5962, 543, 6101, 3284, 3098, 543, 1065, 25730, 585, 519, 19838, 2958, 1190, 4636, 338, 540, 8474, 543, 19525, 1590, 581, 18796, 563, 1103, 5412, 267, 519, 32719, 550, 17072, 540, 4658, 540, 3979, 2677, 1417, 267, 4171, 10661, 568, 606, 1271, 9740, 540, 519, 4139, 5463, 1228, 585, 4658, 540, 3979, 2677, 1417, 267, 786, 3180, 922, 1101, 8400, 269, 634, 2136, 8315, 14199, 29731, 2712, 2471, 782, 8639, 267, 1519, 1004, 267, 2950, 543, 3906, 540, 3979, 16350, 267, 547, 7119, 543, 5397, 519, 960, 540, 519, 17072, 4464, 269, 3367, 811, 269, 0, 14596, 266, 4966, 593, 476, 1789, 5396, 4712, 547, 948, 596, 1175, 1631, 454, 28275, 689, 476, 274, 3108, 6765, 454, 8855, 256, 901, 568, 1175, 513, 3732, 563, 2791, 666, 1205, 707, 2688, 1957, 676, 835, 540, 938, 4274, 5830, 269, 7476, 2688, 1557, 454, 13199, 5830, 2228, 454, 7712, 519, 4571, 476, 5197, 271, 779, 267, 2021, 782, 1472, 519, 1158, 723, 1044, 12592, 547, 1711, 513, 3532, 1272, 585, 2933, 269, 3245, 10888, 519, 1318, 547, 8917, 547, 17516, 3160, 2628, 9344, 267, 891, 2021, 786, 711, 3247, 2394, 789, 1205, 1018, 789, 7287, 269, 1717, 267, 519, 2243, 1869, 6763, 281, 13201, 22158, 5963, 7960, 689, 1141, 621, 3323, 286, 12339, 24452, 814, 7960, 689, 519, 2241, 7287, 547, 8917, 547, 2021, 2531, 3215, 519, 13781, 543, 11319, 585, 1919, 899, 2362, 23269, 543, 3160, 3255, 563, 10521, 540, 891, 5863, 2021, 945, 10692, 585, 519, 1318, 547, 8917, 616, 12359, 686, 9508, 631, 2714, 543, 10906, 595, 8014, 853, 656, 517, 269, 13198, 4038, 807, 543, 10906, 941, 2101, 8706, 1235, 538, 519, 476, 5197, 271, 779, 543, 789, 941, 1312, 2111, 547, 10891, 519, 7354, 29132, 22484, 13482, 269, 10906, 4682, 593, 547, 3132, 519, 16672, 540, 13329, 9323, 267, 799, 18796, 2924, 585, 2021, 607, 1134, 607, 3478, 6837, 547, 1780, 519, 3057, 3072, 6468, 779, 16296, 2920, 269, 12359, 686, 9508, 543, 10906, 1312, 13915, 1242, 519, 476, 1691, 628, 543, 476, 1428, 628, 22853, 543, 875, 789, 5795, 519, 1318, 547, 3109, 2367, 547, 8917, 543, 711, 2021, 267, 543, 789, 1312, 5129, 513, 2101, 1909, 538, 519, 6468, 779, 22206, 14141, 11873, 563, 12988, 538, 519, 476, 5197, 271, 779, 267, 519, 2101, 3804, 585, 2021, 729, 547, 2744, 519, 1318, 547, 8917, 269, 634, 6468, 779, 22206, 14141, 11873, 729, 2111, 547, 9585, 713, 3804, 269, 901, 3350, 3459, 513, 1906, 5756, 1354, 519, 6406, 2782, 267, 950, 519, 1152, 1004, 945, 941, 11292, 1569, 547, 8917, 941, 3043, 9038, 269, 634, 1101, 2101, 2680, 602, 17275, 3007, 729, 519, 7354, 29132, 22484, 13482, 269, 10906 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 568, 519, 2030, 454, 301, 21451, 342, 677, 568, 835, 3875, 5835, 267, 546, 28888, 542, 6438, 5810, 267, 855, 922, 7381, 530, 597, 344, 588, 1155, 910, 2371, 616, 4122, 513, 25451, 7381, 543, 3006, 2864, 811, 910, 568, 513, 23243, 4183, 607, 849, 616, 519, 1507, 5810, 543, 519, 562, 21451, 6438, 19512, 269, 634, 8768, 9843, 616, 11231, 538, 10690, 3443, 1834, 267, 1142, 7623, 12882, 11366, 391, 506, 17810, 5889, 23717, 13408, 6093, 344, 476, 279, 547, 476, 1428, 12779, 3917, 3641, 18422, 539, 1166, 648, 1206, 267, 799, 616, 1419, 267, 4352, 27235, 267, 5219, 547, 607, 24968, 269, 9521, 824, 546, 28888, 542, 1413, 531, 10105, 267, 513, 715, 21451, 342, 677, 8768, 2212, 1281, 711, 1020, 883, 513, 3043, 533, 1952, 639, 540, 1612, 778, 1393, 6438, 5452, 269, 634, 5613, 540, 713, 2030, 616, 5835, 880, 268, 6960, 1035, 1156, 525, 3335, 476, 275, 7825, 1279, 563, 2252, 596, 4076, 6444, 1022, 9073, 1745, 1863, 547, 711, 1518, 721, 827, 621, 269, 901, 1131, 948, 721, 547, 1683, 1152, 519, 1655, 7779, 1344, 269, 0, 11321, 773, 548, 631, 2801, 569, 338, 16974, 3214, 267, 476, 1708, 272, 268, 5400, 268, 4029, 476, 4962, 281, 1556, 281, 4097, 269, 700, 9722, 676, 2870, 513, 4542, 269, 2060, 713, 1505, 596, 666, 1711, 606, 954, 268, 5562, 3095, 1063, 3211, 610, 960, 9248, 269, 634, 5532, 2281, 798, 711, 991, 547, 581, 538, 519, 1482, 4087, 593, 782, 3211, 269, 1411, 666, 1685, 1022, 2979, 5106, 1247, 2870, 519, 3095, 269, 1280, 1383, 267, 596, 1223, 1491, 513, 4137, 689, 835, 4976, 267, 9062, 621, 2053, 513, 4137, 1106, 1776, 4976, 543, 1287, 10208, 513, 1297, 689, 513, 3791, 4976, 269, 1411, 666, 946, 713, 1505, 547, 3095, 2281, 2066, 3211, 610, 960, 9248, 269, 2290, 19319, 540, 713, 1505, 568, 602, 621, 568, 942, 10438, 1317, 596, 616, 2324, 609, 835, 1591, 693, 513, 942, 269, 4635, 3957, 9832, 666, 4217, 609, 713, 1505, 540, 16046, 543, 1118, 621, 4443, 547, 1224, 707, 12596, 2899, 789, 616, 2813, 563, 301, 987, 1446, 324, 20233, 3534, 16974, 3214, 267, 476, 1708, 272, 268, 5881, 268, 6187, 476, 1321, 281, 1704, 281, 3066, 269, 6298, 26052, 267, 3237, 666, 946, 9251, 3211, 547, 948, 4001, 741, 1453, 930, 540, 519, 2596, 1983, 789, 786, 991, 585, 9656, 543, 1153, 269, 901, 786, 1331, 10203, 547, 4557, 267, 9301, 5546, 543, 4778, 267, 1373, 2111, 547, 3180, 513, 15513, 610, 22916, 517, 5265, 267, 543, 7801, 538, 1510, 31163, 17331, 269, 9978, 2979, 2035, 971, 607, 9301, 3270, 267, 1620, 7274, 543, 930, 2241, 1840, 543, 12408, 786, 581, 3730, 269, 1635, 519, 942, 707, 1126, 568, 4712, 585, 9656, 610, 1153, 267, 789, 1058, 581, 2111, 547, 5431, 741, 1378, 2012, 543, 824, 2241, 2854, 1913, 269, 634, 4992, 540, 1142, 4484, 540, 519, 9904, 1058, 581, 5432, 547, 707, 1126, 267, 543, 789, 1058, 1174, 519, 6240, 540, 2542, 689, 2451, 547, 1318, 267, 799, 1259, 547, 3180, 513, 1433, 267, 543, 7654, 1256, 581, 4358, 547, 1224, 1614, 543, 2185, 268, 12072, 1913, 563, 293, 601, 30008, 4432, 320, 16974, 3214, 267, 476, 1708, 272, 268, 6021, 268, 5400, 476, 1556, 281, 2767, 281, 1724, 269, 4569, 3211, 616, 711, 2502, 563, 301, 987, 3315, 10878, 23449, 16974, 3214, 267, 476, 1708, 272, 268, 6021, 268, 6734, 476, 1556, 281, 4391, 281, 5392, 269, 476, 272, 269, 634, 3440, 647, 4242, 782, 519, 1769, 538, 1107, 25309, 621, 899, 513, 8602, 24621, 563, 288, 580, 331, 550, 2088, 700, 2946, 320, 16974, 3214, 267, 476, 1708, 272, 268, 6021, 268, 6734, 476, 1556, 281, 3066, 281, 2412, 269, 898, 568, 1271, 547, 1832, 3395, 1453, 7722, 609, 3730, 543, 4277, 2238, 269, 2290, 971, 4277, 2534, 602, 568, 17329, 1134, 676, 1169, 835, 540, 873, 568, 519, 3214, 7801, 2985, 269, 901, 568, 513, 1434, 1259, 547, 4001, 519, 3214, 827, 5388, 267, 5613, 267, 26897, 543, 6128, 269, 1358, 849, 1205, 547, 917, 1585, 3344, 540, 1272, 676, 7801, 20419, 3197, 269, 3465, 1836, 3237, 723, 513, 2462, 5413, 1317, 835, 666, 3362, 1820, 856, 519, 1034, 4277, 25780, 689, 513, 1297, 540, 7270, 269, 1452, 7270, 1683, 25780, 593, 1169, 1888, 2009, 269, 7324, 513, 3099, 540, 3214, 2238, 1107, 3214, 7801, 2985, 568, 519, 2547, 7199, 602, 711, 1152, 8952, 519, 1762, 3283, 7038, 539, 855, 849, 2337, 873, 1451, 1007, 1919, 563, 291, 1014, 333, 1695, 10787, 1695, 16974, 3214, 267, 476, 1708, 272, 268, 6021, 268, 6734, 476, 1556, 281, 3374, 281, 1556, 269, 1703, 568, 1100, 8969, 602, 3308, 1565, 4249, 513, 1883, 1909, 950, 621, 2501, 547, 1453, 779, 1565, 543, 1646, 269, 769, 1249, 267, 3308, 10752, 616, 4122, 9833, 607, 835, 540, 519, 1034, 1271, 2188, 602, 1039, 513, 2603, 547, 513, 1126, 779, 2038, 2208, 543, 1646, 269, 1280, 519, 5638, 267, 1453, 616, 3362, 6766, 676, 1018, 789, 1294, 267, 5905, 267, 1745, 543, 7119, 811, 982, 1175, 1018, 789, 5873, 269, 10439, 338, 948, 873, 11677, 543, 3314, 4245, 6026, 269, 898, 849, 3217, 1416, 540, 11913, 3765, 23890, 543, 849, 5932, 543, 25601, 741, 1719, 538, 513, 1880, 3992, 269, 898, 568, 1419, 1767, 602, 3425, 267, 2523, 3214, 4043, 547, 3314, 476, 1015, 260, 540, 1018, 789, 5873, 267, 476, 2004, 260, 540, 1018, 789, 1294, 267, 543, 476, 3199, 260, 540, 1018, 789, 1294, 543, 798, 269, 901, 896, 6050, 519, 2956, 540, 3308, 11226, 538, 1565, 543, 1646, 540, 3214, 563, 11321, 767, 548, 570, 612, 16974, 3214, 267, 476, 1708, 272, 268, 6021, 268, 6734, 476, 1556, 281, 3953, 281, 4366, 269, 8866, 2007, 17878, 269, 8866, 1205, 9599, 827, 7801, 269, 1924, 1018, 779, 711, 547, 899, 827, 513, 21300, 7801, 2985, 286, 901, 2376, 5941, 476, 274, 4128, 1946, 3214, 2648, 21300, 7801, 3817, 282, 3214, 616, 5461, 538, 1565, 827, 17878, 543, 789, 1205, 547, 581, 3860, 543, 946, 741, 9345, 563, 298, 2117, 19561, 27878, 5894, 320, 16974, 3214, 267, 476, 1708, 272, 268, 6021, 268, 6734, 476, 1556, 281, 4097, 281, 1839, 269, 634, 7801, 9212, 1644, 547, 6426, 543, 1866, 616, 3362, 2139, 936, 519, 4950, 269, 1358, 616, 2139, 689, 1114, 2959, 269, 1306, 596, 4283, 519, 3135, 596, 786, 1265, 7366, 540, 971, 3817, 602, 616, 5921, 585, 8228, 269, 3807, 4945, 593, 519, 3239, 596, 6999, 547, 1820, 269, 589, 1007, 6885, 10741, 596, 1265, 519, 2407, 2070, 540, 519, 3817, 269, 3767, 979, 547, 519, 4781, 7179, 538, 519, 11711, 32386, 543, 4971, 11313, 19530, 9957, 634, 17002, 4448, 547, 707, 2780, 610, 15291, 1131, 1820, 519, 2985, 4882, 269, 4495, 596, 616, 2944, 267, 2673, 519, 6885, 269, 898, 568, 602, 2241, 563, 289, 1716, 1170, 21667, 16974, 3214, 267, 476, 1708, 272, 268, 6021, 268, 6734, 476, 1556, 281, 4391, 281, 5400, 269, 634, 1657, 5018, 2409, 616, 1175, 513, 1906, 540, 519, 1082, 2081, 602, 596, 666, 979, 827, 9494, 2724, 609, 9251, 3211, 585, 707, 1126, 269, 2986, 1576, 267, 891, 3268, 616, 18593, 267, 855, 789, 666, 948, 596, 4688, 2724, 267, 607, 1134, 607, 10804, 519, 1272, 540, 707, 1126, 779, 9251, 3211, 563, 28319, 514, 700, 643, 16974, 3214, 267, 476, 1708, 272, 268, 6021, 268, 6734, 476, 1556, 281, 1789, 281, 4391, 269, 11822, 32538, 540, 19978, 2984, 949, 711, 1711, 1719, 538, 873, 269, 1809, 2984, 9311, 625, 676, 10477, 3308, 5420, 899, 19978, 7801, 3817, 1131, 10880, 741, 9345, 543, 789, 1131, 581, 2111, 547, 1644, 519, 1936, 725, 1134, 609, 5961, 269, 634, 2681, 3817, 2356, 1118, 3501, 9904, 3756, 607, 789, 2097, 538, 16168, 5546, 610, 2404, 609, 1919, 1453, 2648, 899, 2915, 4445, 267, 24564, 267, 18912, 267, 5810, 267, 6095, 4133, 267, 20419, 3197, 543, 1866, 269, 5753, 2648, 971, 3308, 5420, 543, 519, 19978, 3817, 1932, 666, 581, 1031, 547, 4001, 873, 1585, 1919, 563, 12179, 1543, 267, 22028, 4882, 267, 610, 824, 1570, 602, 1522, 581, 1336, 593, 713, 3135, 602, 568, 711, 713, 3135, 3959, 3788, 519, 10677, 540, 922, 9757, 8227, 4882, 269, 769, 1100, 1259, 1281, 10871, 295, 739, 3409, 9562, 610, 5539, 585, 971, 3688, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 269, 0, 1692, 1677, 2422, 9786, 12243, 9978, 4985, 2986, 15516, 12243, 454, 2414, 1569, 2890, 7809, 6887, 585, 2069, 267, 4945, 1129, 538, 543, 4283, 519, 4757, 2232, 543, 10957, 3177, 676, 707, 1153, 269, 952, 707, 1153, 568, 2907, 9896, 909, 585, 5604, 476, 18458, 585, 2069, 543, 814, 5828, 593, 1569, 547, 2890, 7809, 6887, 267, 610, 952, 707, 1153, 568, 606, 26886, 4081, 9872, 267, 596, 3580, 581, 2111, 547, 1129, 538, 610, 1129, 909, 269, 2060, 6887, 1373, 513, 13398, 585, 2069, 267, 513, 4295, 851, 540, 713, 849, 2882, 3710, 538, 5234, 6887, 543, 3318, 1565, 2146, 630, 680, 322, 264, 6887, 547, 979, 2059, 609, 1362, 6887, 269, 713, 2488, 513, 835, 3247, 6300, 585, 7855, 269, 5234, 6887, 543, 726, 322, 6887, 1450, 7855, 543, 5234, 547, 3362, 5968, 543, 12840, 1282, 6552, 1565, 269, 2060, 6887, 267, 7855, 543, 12200, 666, 1711, 10319, 13460, 267, 1921, 538, 3318, 1565, 2950, 267, 543, 5968, 609, 1053, 543, 7855, 269, 946, 519, 14721, 2200, 1934, 547, 948, 596, 6707, 11766, 267, 9772, 267, 543, 4383, 6887, 538, 707, 1153, 610, 9872, 269, 6887, 585, 2069, 269, 30581, 281, 519, 2295, 540, 6887, 568, 1318, 1934, 593, 519, 6887, 9184, 269, 713, 9184, 568, 1141, 596, 666, 1921, 543, 12840, 609, 707, 1053, 693, 1022, 942, 269, 6887, 616, 513, 4015, 540, 1004, 267, 1543, 267, 543, 2645, 4478, 1114, 3785, 543, 4093, 1369, 606, 3919, 269, 2890, 7809, 269, 11706, 281, 519, 11706, 9184, 568, 5532, 609, 707, 2890, 7809, 2272, 269, 713, 269, 9786, 6887, 568, 513, 2706, 3532, 1907, 585, 3610, 543, 2069, 5238, 547, 948, 1711, 513, 2230, 547, 1732, 4497, 609, 10453, 543, 3986, 1565, 269, 713, 3381, 1759, 3760, 568, 2653, 547, 946, 543, 1568, 2066, 1034, 3457, 547, 1921, 3610, 543, 1053, 16382, 789, 616, 269, 1210, 891, 2890, 7809, 6887, 4388, 596, 666, 1205, 519, 1034, 856, 540, 519, 563, 19859, 7809, 30581, 1548, 1772, 898, 1656, 1215, 6496, 898, 4518, 1280, 454, 19859, 7809, 6887, 585, 2069, 568, 513, 6422, 3059, 13398, 585, 707, 4928, 269, 7855, 666, 5000, 7391, 267, 2671, 6119, 267, 3180, 5691, 11401, 267, 543, 15814, 10467, 998, 741, 1362, 2319, 269, 10123, 267, 609, 2890, 7809, 6887, 3156, 585, 2069, 267, 16929, 666, 10802, 741, 1053, 262, 1565, 2833, 676, 10128, 513, 3099, 540, 2645, 543, 2200, 3330, 741, 1362, 269, 9786, 1451, 19829, 4099, 269, 2890, 7809, 6887, 585, 2069, 269, 513, 3059, 13398, 602, 6770, 11401, 267, 1543, 267, 543, 8924, 1927, 538, 835, 1747, 269, 7855, 666, 1711, 10319, 13460, 267, 1921, 538, 3318, 1565, 2950, 267, 543, 5968, 609, 1153, 5234, 269, 901, 1900, 676, 1900, 5850, 2982, 596, 875, 547, 4001, 2228, 609, 2890, 7809, 6887, 269, 513, 3391, 1500, 585, 3610, 269, 6930, 498, 498, 24049, 547, 3251, 8242, 281, 3787, 269, 569, 476, 274, 655, 984, 563, 1692, 1677, 9457, 2659, 9786, 974, 4461, 5020, 12860, 5004, 454, 19859, 7809, 30581, 12708, 9669, 1280, 11334, 454, 5976, 713, 1900, 676, 1900, 6887, 5850, 596, 3513, 581, 2111, 547, 6707, 4001, 2228, 609, 2890, 7809, 6887, 269, 596, 3513, 1832, 707, 1053, 7722, 543, 607, 3610, 596, 713, 1900, 676, 1900, 5850, 2982, 596, 875, 547, 4001, 2228, 609, 2890, 7809, 6887, 269, 513, 3391, 1500, 585, 3610, 269, 24049, 547, 3251, 8242, 281, 19065, 375, 3787, 269, 569, 476, 274, 655, 984, 334, 279, 538, 713, 476, 1708, 272, 3381, 5850, 267, 1775, 786, 1397, 596, 875, 547, 946, 2890, 7809, 6887, 585, 3610, 538, 269, 1775, 786, 979, 998, 4259, 909, 707, 1362, 267, 4946, 1053, 267, 14379, 609, 2638, 856, 938, 7463, 3872, 17008, 1934, 281, 8013, 764, 2069, 609, 519, 1153, 1032, 2469, 5691, 267, 1082, 3610, 723, 547, 1451, 875, 1250, 1000, 7867, 281, 1000, 7867, 533, 8140, 6559, 3899, 1250, 1000, 3558, 281, 1000, 3558, 6745, 341, 533, 8140, 6559, 3899, 2890, 7809, 6887, 568, 606, 5863, 1907, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 1031, 267, 607, 713, 8930, 4163, 1100, 1699, 693, 782, 267, 568, 1031, 1175, 585, 4704, 267, 621, 666, 581, 4448, 693, 519, 24582, 1376, 717, 21254, 1510, 31028, 532, 519, 16140, 2619, 540, 519, 24582, 269, 634, 1547, 29150, 10466, 18065, 1547, 666, 581, 13324, 609, 8028, 269, 4530, 519, 5114, 14950, 676, 8380, 835, 1688, 593, 519, 2666, 8930, 630, 294, 21254, 264, 543, 835, 1688, 593, 519, 623, 271, 8930, 269, 901, 29349, 519, 5547, 543, 6238, 519, 22245, 593, 519, 2890, 281, 4226, 1310, 606, 3355, 476, 274, 2034, 1293, 1524, 269, 4495, 519, 22245, 6238, 267, 7227, 585, 519, 10896, 5496, 547, 1769, 909, 543, 1287, 2046, 519, 717, 21254, 23240, 609, 835, 1688, 543, 543, 519, 623, 272, 23240, 609, 519, 824, 269, 901, 29349, 519, 5547, 543, 695, 7491, 1055, 519, 22245, 269, 634, 2890, 563, 290, 1844, 3726, 7591, 3033, 18124, 543, 18065, 7591, 3033, 9791, 26258, 4045, 476, 274, 269, 274, 341, 593, 707, 8713, 311, 547, 476, 274, 269, 274, 341, 593, 707, 570, 20784, 28796, 272, 269, 4045, 717, 21254, 593, 707, 8713, 311, 547, 717, 21254, 593, 707, 570, 20784, 28796, 272, 269, 4045, 590, 12710, 12458, 275, 593, 707, 8713, 311, 547, 590, 12710, 593, 707, 570, 20784, 28796, 272, 269, 4045, 12676, 299, 12458, 276, 593, 707, 8713, 311, 547, 590, 6395, 593, 707, 570, 20784, 28796, 272, 654, 3317, 3541, 661, 532, 836, 14193, 325, 717, 21254, 15783, 568, 339, 267, 568, 339, 3541, 3690, 626, 528, 546, 3420, 2471, 577, 5306, 564, 3768, 3541, 589, 639, 32184, 9114, 25885, 3728, 14193, 325, 717, 21254, 15783, 269, 14216, 5178, 529, 560, 668, 530, 2273, 546, 3420, 3954, 476, 2420, 918, 654, 3187, 1056, 14193, 325, 678, 1495, 476, 271, 267, 273, 544, 288, 1917, 1066, 345, 339, 269, 11023, 1782, 27971, 577, 5306, 2426, 269, 11023, 1782, 27971, 577, 5306, 2426, 630, 301, 14149, 264, 654, 3317, 5884, 853, 668, 591, 560, 7564, 337, 330, 2426, 552, 1149, 32489, 29992, 333, 523, 3690, 626, 832, 562, 32218, 513, 639, 516, 32218, 267, 737, 7238, 25699, 523, 1990, 933, 328, 3690, 626, 648, 333, 865, 1990, 639, 2459, 10622, 577, 5306, 564, 530, 518, 6577, 267, 546, 817, 3541, 661, 2466, 614, 964, 2144, 22978, 269, 1703, 568, 1100, 1699, 3970, 4027, 593, 519, 15550, 27296, 8930, 269, 589, 2110, 5547, 689, 15550, 547, 717, 21254, 3927, 2110, 11387, 519, 9823, 1379, 13544, 3403, 267, 543, 20489, 519, 1699, 12773, 540, 519, 17527, 26534, 269, 634, 2179, 540, 1699, 602, 8928, 568, 3908, 1152, 676, 519, 4187, 540, 519, 20798, 20111, 15244, 543, 519, 1699, 12588, 540, 519, 1379, 3761, 269, 1403, 713, 568, 1164, 2614, 267, 519, 26534, 667, 272, 786, 581, 10032, 269, 18329, 910, 717, 21254, 270, 309, 1087, 540, 476, 273, 11387, 609, 4830, 1379, 7727, 267, 543, 6165, 540, 9165, 270, 8421, 545, 12845, 3315, 10045, 269, 2666, 7954, 2555, 10045, 14251, 24005, 269, 31598, 606, 10026, 11418, 2243, 269, 1403, 594, 1131, 899, 547, 10250, 5951, 13257, 689, 476, 273, 1114, 11387, 609, 4830, 1379, 7727, 267, 521, 18502, 269, 606, 16674, 31092, 799, 3096, 513, 476, 280, 309, 6007, 543, 519, 16674, 17513, 799, 3096, 513, 3774, 23702, 630, 29970, 264, 3761, 269, 594, 1616, 269, 13575, 538, 1617, 559, 9707, 1062, 6272, 1141, 972, 616, 1082, 7471, 11387, 267, 1379, 14742, 630, 966, 764, 610, 575, 526, 264, 616, 1031, 547, 2057, 7050, 23332, 585, 1379, 986, 2812, 269, 769, 824, 1913, 267, 621, 568, 2603, 4443, 543, 811, 5150, 547, 2047, 1921, 547, 519, 1379, 14742, 602, 616, 9944, 519, 13365, 3079, 540, 23332, 1279, 13475, 585, 519, 623, 9169, 630, 5295, 24822, 3590, 3738, 630, 713, 666, 849, 581, 6913, 609, 555, 745, 3620, 1961, 642, 5362, 563, 1556, 717, 21254, 717, 21254, 16140, 476, 1321, 1341, 1321, 309, 1341, 1321, 309, 1341, 1321, 309, 6453, 3403, 269, 630, 9792, 281, 476, 1015, 309, 268, 1428, 309, 264, 476, 1724, 717, 21254, 717, 21254, 16140, 476, 1691, 1341, 276, 309, 1341, 276, 309, 1341, 276, 309, 1379, 3761, 476, 1428, 966, 293, 289, 594, 8028, 19243, 6453, 5955, 269, 28582, 2590, 547, 661, 294, 3199, 272, 271, 7635, 18694, 585, 1808, 1599, 543, 5547, 269, 476, 1626, 570, 293, 289, 594, 18323, 5955, 269, 744, 3200, 17687, 4027, 7140, 593, 950, 8930, 781, 3403, 6453, 568, 936, 476, 275, 269, 274, 309, 476, 1704, 674, 3198, 6311, 305, 717, 21254, 717, 21254, 717, 21254, 717, 21254, 4530, 1448, 476, 280, 717, 21254, 966, 300, 31368, 272, 31368, 273, 744, 7473, 273, 1341, 595, 476, 274, 595, 476, 272, 595, 476, 273, 717, 21254, 717, 21254, 717, 21254, 717, 21254, 717, 21254, 717, 21254, 717, 21254, 717, 21254, 5442, 272, 5442, 273, 966, 3918, 293, 717, 21254, 717, 21254, 717, 21254, 717, 21254, 717, 21254, 15283, 272, 681, 476, 273, 681, 476, 272, 22008, 6717, 31179, 272, 31179, 273, 31179, 274, 22008, 3918, 293, 22008, 300, 476, 272, 22008, 300, 273, 18065, 6516, 910, 19505, 6858, 295, 14596, 293, 7582, 910, 6513, 6613, 269, 28251, 6977, 4149, 290, 26154, 12087, 268, 6349, 269, 7170, 281, 19505, 6858, 295, 14596, 293, 7582, 18065, 6516, 281, 9577, 281, 16359, 30905, 281, 16847, 6613, 269, 476, 272, 270, 272, 281, 4860, 269, 476, 6349, 281, 11261, 281, 476, 1708, 271, 268, 274, 268, 1240, 9736, 1708, 271, 570, 657, 3031, 320, 18329, 20905, 1299, 19554, 15278, 269, 634, 5547, 593, 519, 1318, 2427, 814, 1312, 7475, 540, 519, 10896, 5547, 4448, 547, 717, 21254, 269, 901, 2306, 519, 6453, 519, 1482, 630, 271, 966, 264, 693, 1312, 7475, 540, 519, 5547, 269, 3143, 5122, 2604, 815, 1100, 1699, 815, 1100, 1769, 269, 1411, 666, 1921, 519, 10896, 547, 513, 3059, 594, 23860, 8930, 543, 1982, 519, 20798, 547, 14595, 519, 8930, 781, 3977, 6453, 1063, 476, 276, 966, 543, 717, 21254, 269, 901, 786, 2490, 519, 10896, 1769, 593, 270, 4752, 267, 543, 602, 781, 1018, 649, 3513, 798, 1985, 269, 18065, 5071, 269, 1306, 5018, 4505, 267, 594, 993, 2469, 547, 946, 519, 476, 27898, 15096, 538, 922, 8330, 762, 25042, 540, 5106, 269, 1403, 596, 616, 5432, 609, 713, 7154, 267, 1287, 596, 666, 3362, 1374, 519, 5547, 3054, 269, 3689, 267, 1921, 623, 1231, 476, 275, 630, 4910, 564, 264, 543, 476, 279, 630, 309, 6717, 264, 547, 1341, 1321, 309, 18242, 543, 18237, 476, 272, 630, 294, 21254, 264, 547, 717, 21254, 269, 10374, 623, 1231, 476, 273, 630, 15045, 5456, 264, 543, 476, 277, 630, 8025, 305, 2464, 295, 5357, 291, 1040, 3767, 267, 1921, 513, 476, 1015, 298, 394, 358, 1763, 626, 528, 1063, 269, 4982, 20884, 18065, 585, 5295, 7351, 24822, 547, 15096, 966, 17584, 6467, 700, 700, 10177, 576, 27666, 700, 12712, 330, 595, 12712, 330, 700, 16129, 11483, 21587, 595, 680, 6951, 27296, 543, 11443, 19218, 5012, 14793, 6776, 29522, 3842, 32144, 15382, 307, 29522, 966, 16671, 27798, 21254, 7077, 15096, 4452, 20111, 11443, 9823, 270, 17584, 20303, 269, 5239, 476, 1220, 278, 3220, 269, 23745, 5246, 600, 2041, 5435, 476, 4391, 12465, 5811, 1948, 272, 3040, 2422, 25317, 540, 29522, 538, 6252, 1955, 6244, 766, 547, 15096, 1379, 17320, 526, 20382, 11536, 305, 272, 11536, 305, 273, 563, 300, 5308, 3690, 626, 832, 267, 18328, 5308, 20603, 27989, 267, 543, 4258, 777, 267, 5295, 995, 23675, 269, 631, 269, 9710, 578, 6308, 267, 808, 269, 1773, 28026, 267, 681, 269, 1215, 324, 476, 273, 7335, 3040, 3848, 476, 275, 538, 519, 5467, 3040, 1280, 811, 3877, 1413, 693, 910, 288, 261, 299, 476, 276, 269, 272, 7913, 6178, 1023, 630, 2998, 525, 538, 1454, 811, 1469, 982, 649, 991, 264, 910, 288, 261, 299, 476, 277, 268, 277, 269, 274, 631, 5308, 20905, 269, 631, 269, 9710, 578, 6308, 267, 808, 269, 1773, 28026, 267, 681, 269, 1215, 324, 476, 274, 631, 5308, 293, 4953, 513, 21993, 18502, 269, 631, 5308, 3690, 626, 528, 3040, 3657, 1360, 4277, 3457, 910, 290, 727, 538, 1079, 10366, 269, 717, 21254, 21436, 781, 18065, 544, 288, 3193, 267, 3977, 1871, 9819, 3738, 19243, 23027, 845, 966, 524, 322, 966, 5357, 16453, 2196, 15585, 528, 700, 18088, 19243, 5426, 594, 764, 284, 276, 544, 288, 3193, 269, 18323, 6513, 24522, 24793, 3245, 476, 276, 1677, 1547, 2764, 966, 8016, 13575, 1210, 476, 1321, 610, 476, 275, 476, 2190, 13748, 290, 264, 594, 8619, 476, 276, 544, 288, 3193, 681, 630, 6943, 264, 815, 476, 1015, 298, 19243, 23027, 845, 966, 2129, 966, 5357, 16453, 2196, 15585, 528, 700, 18088, 19243, 966, 2129, 284, 276, 269, 10976, 736, 269, 276, 309, 642, 537, 284, 322, 7224, 269, 277, 309, 561, 764, 345, 276, 544, 8649, 1314, 269, 17240, 572, 8700, 25244, 24522, 24793, 6513, 338, 519, 10178, 3432, 269, 717, 21254, 7612, 476, 272, 281, 4982, 20884, 4530, 18065, 585, 4400, 17121, 20905, 476, 274, 269, 272, 269, 273, 4530, 18065, 585, 8899, 17121, 20905, 634, 1449, 5547, 585, 513, 1970, 2427, 3926, 568, 3254, 538, 7612, 476, 273, 269, 4595, 972, 568, 1152, 835, 1379, 5547, 267, 5094, 15641, 1734, 585, 3761, 543, 2110, 5547, 991, 711, 581, 2808, 269, 634, 3761, 543, 4452, 15641, 1734, 616, 24018, 607, 3254, 538, 7612, 476, 273, 267, 609, 519, 2418, 607, 3989, 538, 8791, 476, 274, 269, 273, 630, 5408, 849, 7305, 269, 22387, 4211, 1844, 7057, 10378, 8940, 269, 2381, 545, 1844, 7057, 2593, 623, 20166, 269, 13340, 476, 12573, 14917, 267, 27201, 267, 12924, 476, 12208, 3374, 268, 1822, 274, 630, 278, 1240, 264, 476, 280, 4097, 268, 14596, 271, 18078, 17106, 11333, 3820, 9577, 18237, 7089, 13517, 717, 21254, 476, 272, 16674, 16140, 717, 21254, 476, 273, 16674, 16140, 16674, 272, 476, 274, 16674, 594, 23860, 630, 16694, 476, 272, 264, 717, 21254, 476, 275, 16674, 16140, 717, 21254, 476, 276, 16674, 16140, 717, 21254, 476, 277, 16674, 16140, 717, 21254, 476, 278, 16674, 16140, 16674, 2910, 300, 476, 279, 16674, 5871, 630, 16694, 476, 272, 264, 717, 21254, 476, 280, 16674, 16140, 717, 21254, 476, 1015, 16674, 16140, 717, 21254, 476, 1556, 16674, 717, 709, 333, 454, 3240, 6831, 1844, 3726, 6834, 575, 526, 267, 3403, 5332, 564, 267, 3977, 5332, 564, 1948, 8844, 519, 24437, 547, 519, 1007, 5547, 269, 1948, 2382, 656, 5573, 519, 3818, 7400, 21712, 1016, 15132, 3726, 883, 519, 1007, 18065, 1843, 269, 3818, 24449, 15965, 630, 274, 267, 3403, 5332, 564, 267, 3977, 5332, 564, 267, 5547, 815, 1250, 6831, 1844, 3726, 264, 634, 4890, 5547, 9936, 568, 711, 5293, 593, 547, 519, 1016, 15132, 3726, 269, 898, 781, 13939, 543, 1022, 2609, 2813, 538, 519, 1016, 15132, 3726, 616, 2366, 972, 3079, 540, 547, 519, 9949, 6831, 1844, 3726, 269, 717, 21254, 281, 476, 273, 281, 2353, 540, 891, 2694, 786, 979, 538, 519, 1283, 268, 3847, 540, 519, 28176, 7406, 269, 27336, 6548, 899, 713, 281, 1403, 596, 991, 547, 1847, 2694, 1472, 267, 946, 519, 631, 10976, 292, 1907, 4534, 630, 3847, 1907, 8663, 610, 896, 519, 22478, 10624, 1040, 19382, 26487, 2899, 593, 513, 851, 547, 4584, 621, 909, 630, 20365, 10856, 1058, 581, 29964, 532, 936, 519, 851, 781, 2699, 1341, 5169, 1040, 3973, 2451, 4945, 1586, 950, 621, 781, 1141, 621, 2115, 547, 581, 269, 5153, 476, 275, 281, 12130, 1886, 549, 19485, 543, 25417, 18065, 787, 269, 717, 21254, 281, 16140, 282, 634, 21602, 849, 3568, 513, 1494, 11230, 10309, 799, 786, 1305, 519, 12939, 1871, 543, 1287, 713, 12939, 1871, 786, 581, 3379, 676, 519, 30838, 4375, 274, 4086, 1807, 269, 634, 3977, 10896, 786, 1769, 909, 543, 1524, 2687, 547, 713, 12939, 1871, 269, 18237, 4934, 910, 12810, 269, 1323, 11530, 25042, 910, 3955, 325, 5217, 14606, 7720, 626, 675, 32190, 543, 20798, 269, 1677, 1921, 519, 9300, 538, 519, 12746, 7154, 267, 649, 786, 991, 547, 946, 519, 12746, 3977, 563, 763, 6207, 5934, 2098, 3199, 17765, 1449, 5547, 2479, 2938, 281, 901, 568, 875, 1250, 512, 6856, 5654, 899, 281, 4414, 5911, 815, 1341, 276, 309, 630, 309, 6717, 264, 5682, 5911, 815, 717, 21254, 654, 3641, 5911, 815, 1849, 1442, 9255, 513, 3728, 19218, 630, 339, 656, 531, 267, 476, 271, 269, 272, 269, 476, 275, 269, 278, 579, 293, 264, 689, 966, 6717, 547, 717, 21254, 256, 607, 2673, 607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8624, 3518, 639, 4303, 6585, 3140, 4644, 538, 15930, 267, 855, 1018, 1281, 621, 1611, 585, 3506, 538, 519, 1533, 286, 4270, 267, 519, 2626, 568, 2241, 1107, 19090, 4303, 568, 4767, 607, 513, 9702, 538, 15930, 3506, 269, 1717, 267, 713, 12651, 2055, 827, 519, 6286, 543, 3872, 3255, 4478, 713, 11786, 4137, 269, 769, 713, 2376, 267, 649, 786, 5490, 883, 519, 1888, 540, 19090, 4303, 538, 15930, 3506, 267, 3695, 519, 4644, 267, 2591, 267, 543, 1761, 585, 13346, 5380, 269, 1924, 267, 952, 596, 4076, 1044, 8049, 827, 875, 713, 9702, 568, 14059, 538, 3872, 5468, 267, 1832, 2542, 269, 1284, 4076, 3893, 596, 4988, 2336, 8368, 540, 12937, 454, 8624, 3518, 639, 4303, 538, 15930, 12140, 281, 589, 9919, 30503, 1674, 540, 3778, 543, 2552, 7337, 344, 454, 8624, 3518, 639, 4303, 267, 513, 9702, 9976, 2066, 519, 2136, 2276, 267, 6585, 513, 7986, 1747, 538, 519, 11706, 540, 15930, 3506, 269, 901, 5993, 862, 655, 2610, 26549, 18332, 19090, 267, 519, 7969, 24413, 20295, 609, 12423, 3013, 269, 15930, 3506, 946, 713, 8317, 607, 606, 4316, 547, 13599, 1053, 827, 519, 3140, 4644, 540, 19090, 779, 22116, 543, 519, 1764, 621, 1185, 593, 519, 1576, 540, 1977, 1686, 269, 1717, 267, 519, 11812, 540, 19090, 4303, 568, 711, 1510, 15784, 543, 814, 17275, 9840, 538, 2487, 1296, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 4644, 540, 19090, 4303, 538, 15930, 3506, 267, 5490, 883, 519, 27900, 4478, 519, 9702, 267, 543, 1865, 519, 3646, 547, 1683, 513, 811, 3102, 5133, 593, 19090, 779, 9371, 563, 763, 19043, 540, 19090, 4303, 538, 15930, 12140, 454, 8624, 3518, 639, 4303, 814, 1279, 1044, 4767, 538, 15930, 3506, 607, 513, 1259, 547, 29428, 519, 12625, 540, 18332, 19090, 538, 519, 17113, 593, 5239, 476, 1321, 267, 476, 14983, 273, 269, 898, 5713, 607, 513, 1554, 1055, 585, 1053, 543, 3610, 7567, 267, 3850, 585, 513, 4090, 540, 8086, 593, 519, 1764, 540, 19090, 779, 3460, 563, 27746, 1633, 3506, 6451, 19090, 4303, 883, 741, 6437, 267, 3450, 1053, 827, 519, 3140, 2796, 267, 519, 4644, 540, 19090, 779, 22116, 267, 543, 519, 7766, 3864, 3408, 540, 519, 17113, 269, 901, 2069, 6663, 547, 1683, 1053, 609, 513, 13654, 1620, 540, 1977, 1686, 267, 10223, 519, 3408, 543, 17091, 602, 8032, 519, 4182, 563, 7628, 19090, 4303, 267, 15930, 3506, 1419, 10891, 1585, 2238, 543, 2621, 269, 1452, 949, 1331, 4928, 5717, 267, 1148, 3785, 267, 3140, 14245, 267, 543, 2686, 16873, 269, 1452, 2238, 948, 1053, 1020, 513, 4514, 1620, 540, 19090, 779, 18517, 543, 741, 6626, 1764, 593, 1977, 1686, 563, 763, 2552, 7337, 625, 28259, 532, 19090, 4303, 454, 1103, 2487, 1296, 267, 519, 11812, 540, 19090, 4303, 814, 5185, 22987, 543, 17275, 9840, 1813, 547, 519, 11786, 3344, 540, 19090, 779, 9371, 269, 31379, 8044, 602, 1350, 528, 4328, 19090, 6772, 23697, 519, 18632, 11271, 540, 17091, 543, 519, 2942, 4539, 621, 1185, 593, 6805, 5095, 563, 763, 15784, 11710, 689, 519, 10795, 13341, 1063, 19090, 779, 12284, 543, 519, 6805, 1004, 789, 11402, 1282, 741, 30295, 269, 1452, 13341, 3366, 547, 519, 17760, 29713, 267, 12761, 267, 543, 2669, 540, 9118, 6805, 2043, 269, 31379, 8044, 602, 14120, 19090, 607, 513, 5869, 2144, 1162, 519, 7092, 28815, 676, 5065, 5095, 543, 10419, 340, 919, 513, 835, 21758, 2239, 540, 1686, 563, 18128, 6295, 21126, 543, 27557, 2509, 513, 2859, 18043, 13979, 454, 1103, 3210, 547, 519, 27900, 4478, 19090, 4303, 267, 15930, 3506, 723, 13175, 547, 9784, 513, 811, 8537, 543, 3102, 1935, 547, 3450, 827, 519, 24413, 543, 1010, 9371, 269, 30451, 616, 9301, 519, 2956, 540, 9301, 2789, 5380, 543, 14344, 519, 1764, 540, 17091, 593, 6805, 2950, 563, 3080, 1259, 15930, 3506, 616, 5466, 713, 568, 676, 10223, 519, 2833, 543, 5380, 540, 6805, 9082, 269, 1358, 2832, 547, 1683, 513, 811, 4977, 26841, 540, 1686, 676, 4687, 519, 2984, 540, 7111, 1977, 11031, 543, 14344, 519, 7418, 789, 1500, 1991, 547, 19090, 779, 12625, 563, 13010, 267, 3506, 616, 6220, 4245, 593, 519, 14042, 2360, 540, 17091, 267, 971, 607, 7142, 882, 6327, 267, 2530, 540, 2244, 267, 543, 519, 1232, 11582, 540, 6805, 4529, 269, 1452, 5717, 5000, 1053, 547, 1589, 9691, 827, 519, 4539, 540, 3140, 2621, 543, 6536, 6568, 2509, 1346, 4299, 563, 22826, 8836, 16844, 454, 6624, 15930, 3506, 1631, 946, 19090, 4303, 607, 606, 4316, 547, 4001, 1053, 827, 2686, 4763, 543, 3895, 10892, 269, 30451, 5000, 1053, 547, 2263, 1114, 4529, 602, 941, 12936, 676, 19090, 779, 30295, 267, 10771, 519, 2318, 3344, 540, 2686, 5385, 1247, 14344, 519, 2800, 3361, 563, 7437, 2238, 899, 18371, 14245, 267, 5717, 593, 2686, 6561, 267, 543, 7317, 3785, 267, 15930, 3506, 2832, 547, 1128, 650, 538, 1053, 513, 2631, 540, 7071, 585, 4763, 269, 1635, 14120, 519, 7418, 540, 1585, 4529, 267, 1053, 2744, 513, 4514, 1620, 540, 519, 5958, 540, 1977, 2486, 563, 21446, 894, 21126, 543, 18270, 725, 454, 5278, 15930, 3506, 723, 6074, 547, 6521, 519, 1445, 2476, 689, 19090, 4303, 15587, 543, 8661, 7087, 24447, 685, 4303, 3079, 269, 901, 4244, 9702, 6663, 547, 8956, 543, 5431, 519, 3638, 2686, 5389, 543, 7418, 540, 7111, 1977, 11031, 563, 3528, 28006, 547, 7087, 24447, 685, 4303, 267, 3506, 3343, 547, 11760, 519, 6043, 267, 6561, 267, 543, 5571, 4527, 540, 6805, 2950, 538, 15930, 543, 3564, 269, 634, 10014, 540, 713, 4244, 11812, 7258, 19090, 4303, 2488, 1053, 609, 513, 811, 7059, 543, 13857, 1620, 540, 1686, 563, 8624, 3518, 639, 4303, 3788, 513, 1713, 2616, 766, 538, 15930, 3506, 267, 7674, 607, 513, 12576, 540, 18332, 19090, 779, 22116, 543, 922, 1764, 593, 1977, 1686, 269, 1717, 267, 519, 27900, 4478, 19090, 779, 9371, 723, 19430, 513, 6521, 2509, 513, 811, 3102, 1935, 547, 3450, 713, 1641, 269, 15930, 3506, 1631, 11441, 547, 1683, 1053, 609, 513, 1134, 25454, 1620, 540, 1686, 267, 14344, 519, 5380, 540, 6805, 2950, 543, 5009, 2686, 4763, 269, 3414, 891, 3646, 267, 7855, 2832, 547, 1711, 606, 8537, 1565, 1604, 602, 11942, 2565, 3206, 543, 6568, 585, 782, 563, 18662, 1668, 9920, 9575, 16770, 14213, 532, 476, 275, 2027, 2115, 1053, 538, 15930, 454, 21761, 18542, 5999, 454, 1432, 568, 19090, 4303, 543, 1946, 798, 15930, 3506, 7747, 621, 888, 8624, 3518, 639, 4303, 568, 513, 5313, 9702, 538, 519, 2136, 2276, 602, 16033, 919, 18332, 19090, 685, 12625, 538, 519, 17113, 593, 5239, 476, 1321, 267, 476, 14983, 273, 269, 15930, 3506, 7747, 19090, 4303, 607, 513, 1259, 547, 5431, 543, 8956, 519, 3140, 4644, 540, 713, 2680, 267, 607, 1134, 607, 547, 8661, 19090, 685, 7418, 547, 519, 6602, 540, 519, 17113, 563, 3674, 19090, 4303, 513, 1857, 9702, 538, 15930, 888, 8133, 267, 19090, 4303, 568, 6444, 607, 513, 1857, 9702, 538, 519, 1533, 540, 15930, 269, 901, 1797, 602, 3506, 543, 824, 1857, 5238, 616, 6806, 593, 713, 1554, 547, 1450, 1053, 543, 5520, 547, 8661, 543, 8956, 519, 9702, 563, 6701, 972, 1022, 1808, 2238, 610, 2621, 602, 15930, 3506, 10891, 585, 19090, 4303, 888, 4407, 1808, 2238, 543, 2621, 949, 4268, 2066, 1114, 3506, 543, 13102, 267, 1082, 15930, 3506, 10891, 3872, 3292, 267, 32234, 267, 610, 4928, 5717, 1472, 19090, 4303, 269, 1452, 2238, 949, 1445, 593, 3450, 1053, 827, 519, 3140, 2796, 540, 19090, 685, 22116, 267, 1010, 1764, 593, 6805, 4529, 267, 543, 875, 519, 9702, 568, 9976, 538, 1114, 2694, 540, 519, 2197, 563, 6701, 972, 1022, 8925, 610, 1114, 5380, 593, 11287, 19090, 4303, 538, 15930, 3506, 888, 8133, 267, 972, 568, 606, 2810, 6284, 540, 4244, 5380, 3823, 19090, 4303, 269, 2368, 3506, 538, 15930, 723, 6074, 547, 6521, 519, 1445, 689, 14120, 19090, 685, 12625, 547, 513, 811, 8537, 3408, 540, 7111, 1977, 1686, 543, 2528, 269, 901, 1935, 7512, 1053, 547, 9691, 4983, 519, 1764, 540, 3864, 17091, 593, 6805, 2950, 543, 11942, 513, 811, 3102, 1620, 540, 1977, 1686, 563, 2710, 15930, 3506, 1683, 1022, 2069, 593, 519, 27900, 4478, 19090, 4303, 888, 8133, 267, 930, 15930, 3506, 6451, 5717, 827, 519, 27900, 4478, 19090, 4303, 883, 741, 6437, 269, 901, 949, 4125, 3695, 1114, 16752, 593, 19090, 685, 9371, 267, 1519, 519, 9880, 540, 1010, 2126, 540, 6805, 9082, 543, 519, 4539, 540, 3864, 17091, 269, 1635, 2502, 538, 891, 5717, 267, 3506, 2832, 547, 3895, 2565, 3206, 543, 513, 4514, 1620, 540, 3140, 2621, 563, 1103, 3932, 267, 19090, 4303, 3788, 513, 11786, 1888, 267, 3226, 538, 15930, 3506, 269, 634, 1533, 779, 3375, 547, 5372, 19090, 4303, 609, 7087, 24447, 685, 4303, 9356, 513, 3395, 6284, 540, 519, 991, 547, 11760, 543, 8956, 519, 2833, 543, 7418, 540, 7111, 4892, 269, 2755, 930, 8044, 602, 713, 1689, 2144, 1162, 1686, 267, 1866, 1294, 621, 607, 513, 2556, 1900, 2509, 513, 811, 8537, 543, 4977, 6041, 540, 938, 2250, 269, 17859, 540, 835, 779, 18879, 267, 519, 7391, 4478, 19090, 4303, 538, 15930, 3506, 5031, 519, 5571, 2956, 540, 3024, 532, 3309, 5380, 543, 12583, 538, 938, 2069, 1062, 269, 0, 10666, 519, 5152, 454, 2252, 596, 616, 513, 10178, 540, 4224, 543, 5066, 267, 596, 4440, 917, 602, 4432, 6665, 3465, 2917, 568, 835, 540, 519, 1034, 9565, 543, 11599, 5515, 538, 519, 9135, 269, 1809, 798, 596, 917, 875, 646, 3323, 1010, 7574, 4876, 543, 1018, 729, 1010, 1101, 6592, 5152, 286, 769, 713, 5816, 2022, 267, 649, 786, 2263, 519, 1686, 540, 4432, 6665, 3465, 2917, 779, 26813, 2582, 267, 968, 6546, 779, 2353, 9406, 630, 300, 4821, 264, 5608, 513, 5152, 602, 4957, 519, 1576, 540, 2575, 1686, 543, 9250, 519, 4876, 540, 519, 3751, 540, 9412, 543, 24305, 563, 2108, 6546, 779, 2353, 9406, 630, 300, 4821, 264, 892, 729, 8385, 2854, 543, 6592, 676, 21462, 22256, 14880, 968, 19136, 15196, 892, 9197, 644, 1575, 538, 476, 3707, 277, 269, 9197, 644, 1575, 779, 4528, 729, 513, 3500, 543, 544, 3641, 21462, 5152, 602, 6829, 1010, 29997, 566, 547, 1010, 24158, 779, 1102, 23474, 269, 634, 5152, 729, 711, 513, 2462, 5734, 267, 855, 621, 729, 2442, 1851, 21462, 11655, 543, 12372, 267, 2523, 538, 519, 3162, 563, 14976, 6665, 3465, 2917, 729, 835, 540, 1346, 12372, 945, 25343, 9197, 644, 1575, 779, 5152, 269, 1261, 8057, 909, 6947, 547, 1585, 6163, 540, 2575, 267, 1519, 22258, 267, 2197, 267, 543, 11733, 543, 21462, 269, 1261, 1185, 513, 2067, 13007, 585, 13465, 543, 4730, 13176, 267, 855, 646, 729, 1932, 21183, 547, 11654, 513, 3318, 4876, 269, 769, 476, 4198, 274, 267, 646, 15336, 883, 519, 13646, 540, 6129, 19475, 543, 519, 6490, 874, 529, 5589, 1800, 6796, 547, 1118, 513, 2123, 2594, 607, 513, 10516, 585, 1010, 3993, 269, 1261, 6976, 1269, 274, 269, 7176, 7132, 3454, 547, 2594, 1079, 8964, 281, 968, 7069, 19732, 1465, 892, 543, 968, 6546, 779, 1879, 2659, 9839, 2851, 10670, 6100, 634, 8227, 540, 6129, 19475, 267, 6341, 29928, 267, 729, 711, 24330, 676, 4432, 6665, 685, 2773, 267, 855, 1010, 13930, 3057, 542, 3223, 7416, 518, 8068, 1945, 2027, 538, 1010, 5639, 543, 5206, 1524, 968, 14187, 3440, 611, 22256, 269, 15579, 892, 538, 1200, 4967, 563, 288, 1032, 2663, 267, 29928, 4956, 547, 2285, 4432, 6665, 513, 4960, 543, 14376, 1864, 547, 2594, 930, 8964, 609, 1079, 8400, 12372, 281, 13176, 626, 8857, 1399, 18703, 543, 18369, 626, 9291, 4563, 269, 2201, 5147, 476, 276, 267, 476, 4198, 275, 267, 789, 6836, 1896, 8964, 267, 855, 9039, 540, 873, 32131, 1318, 269, 29928, 729, 3168, 585, 513, 3043, 22256, 945, 1223, 2206, 968, 18872, 892, 11733, 543, 21462, 267, 855, 4432, 6665, 8604, 1932, 13888, 543, 796, 1231, 18944, 269, 4438, 513, 2736, 267, 4432, 6665, 3323, 547, 18174, 1472, 609, 1010, 13176, 543, 31025, 968, 6546, 779, 2353, 9406, 630, 300, 4821, 264, 5608, 855, 693, 513, 1454, 5488, 32171, 982, 9197, 644, 1575, 779, 3312, 269, 18703, 543, 4563, 8678, 1864, 593, 741, 7405, 267, 2870, 513, 18512, 543, 909, 18566, 3280, 602, 9575, 29928, 685, 3007, 269, 1261, 4280, 873, 547, 10956, 1018, 789, 941, 3257, 543, 6592, 621, 593, 11746, 269, 2334, 729, 519, 4090, 602, 930, 2543, 607, 519, 3020, 4098, 540, 519, 4224, 543, 5066, 4838, 563, 4942, 650, 2354, 9447, 513, 5299, 540, 519, 10916, 547, 513, 2199, 1167, 795, 15736, 3957 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6021, 274, 276, 282, 19478, 281, 4757, 11333, 2593, 994, 20458, 7827, 12186, 593, 5682, 5264, 13937, 2506, 3827, 3245, 454, 27807, 24479, 15867, 6137, 7010, 538, 454, 303, 10611, 269, 1520, 2401, 24682, 590, 12282, 269, 5548, 717, 4592, 810, 267, 654, 12282, 269, 3487, 517, 454, 305, 14445, 532, 519, 2121, 2518, 8337, 1761, 630, 294, 310, 303, 264, 540, 1648, 946, 568, 513, 2101, 3815, 6117, 1719, 538, 6915, 30669, 269, 12713, 24479, 5186, 6137, 1949, 4268, 538, 9295, 547, 519, 28047, 303, 1813, 547, 519, 7693, 6556, 543, 4611, 7274, 540, 8093, 10173, 19774, 267, 7274, 543, 2298, 540, 595, 3773, 547, 519, 3037, 267, 3049, 18450, 7503, 4398, 267, 715, 273, 302, 5434, 267, 715, 946, 4398, 267, 543, 11378, 2838, 585, 7693, 2504, 543, 5106, 540, 3484, 12227, 269, 634, 6662, 540, 519, 1353, 729, 547, 946, 667, 17751, 290, 7728, 547, 2203, 519, 1764, 540, 2916, 1689, 593, 2121, 8511, 3154, 630, 21203, 294, 264, 5434, 540, 6915, 24479, 5186, 6137, 1949, 630, 25468, 267, 13386, 28369, 267, 620, 325, 2788, 320, 267, 6467, 24124, 267, 556, 539, 666, 776, 24124, 267, 543, 10316, 1402, 24882, 264, 538, 12425, 585, 10014, 538, 513, 2407, 595, 4783, 2079, 269, 16661, 3611, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27807, 24479, 8889, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 5398, 8889, 1315, 6052, 8889, 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 ]
[ 12393, 1454, 811, 3310, 540, 682, 557, 16210, 2350, 564, 600, 630, 9262, 8472, 538, 21109, 540, 17122, 23069, 4586, 268, 17122, 20560, 454, 1692, 547, 25737, 454, 294, 5055, 12528, 570, 267, 5484, 5336, 523, 659, 1335, 661, 267, 25816, 613, 12251, 645, 267, 1696, 620, 269, 594, 6369, 292, 2126, 4808, 281, 2963, 2861, 2079, 540, 1884, 773, 335, 850, 10364, 3075, 12117, 543, 7145, 607, 3355, 1395, 8839, 585, 3134, 850, 10364, 17465, 543, 25102, 27689, 269, 9210, 850, 1186, 807, 269, 476, 1220, 277, 282, 5325, 281, 11820, 275, 268, 12208, 271, 563, 291, 537, 6921, 553, 681, 267, 20918, 2993, 808, 269, 674, 5914, 543, 3818, 17122, 12951, 584, 325, 525, 269, 769, 281, 4210, 2727, 534, 918, 293, 267, 9375, 269, 4210, 2727, 534, 12963, 11719, 344, 269, 476, 276, 1196, 269, 1715, 3840, 281, 29021, 282, 476, 1001, 273, 269, 533, 269, 476, 4037, 272, 268, 278, 563, 3519, 333, 1442, 631, 267, 674, 4319, 661, 267, 27213, 645, 310, 267, 1696, 620, 269, 634, 4791, 7145, 543, 1942, 13716, 4369, 540, 18960, 5061, 585, 1453, 609, 20560, 269, 589, 9836, 2689, 269, 2657, 3353, 565, 8178, 269, 476, 1220, 277, 282, 1015, 281, 1460, 268, 14093, 563, 13051, 5336, 523, 659, 1335, 661, 267, 24415, 614, 772, 267, 585, 519, 3864, 2274, 557, 16210, 2350, 564, 600, 6828, 9950, 24351, 543, 7109, 1464, 540, 682, 557, 16210, 2350, 564, 600, 476, 4968, 271, 8406, 7933, 538, 2550, 609, 18195, 800, 9864, 17465, 281, 513, 24352, 10938, 5595, 15918, 785, 267, 4431, 518, 5697, 1353, 10442, 1395, 8839, 269, 9210, 850, 1186, 807, 476, 1220, 271, 282, 6078, 281, 14096, 277, 1700, 12553, 274, 563, 18721, 5270, 667, 267, 533, 749, 758, 631, 267, 623, 749, 758, 808, 269, 21073, 3134, 850, 10364, 639, 269, 769, 281, 4210, 2727, 534, 918, 293, 267, 9375, 269, 4210, 2727, 534, 12963, 11719, 344, 269, 1715, 3840, 281, 22527, 1613, 282, 476, 1001, 273, 269, 533, 269, 476, 278, 7176, 268, 3199, 279, 563, 2171, 6359, 28086, 589, 267, 645, 709, 4546, 5508, 267, 11910, 523, 22138, 6751, 1421, 1696, 620, 269, 2274, 557, 16210, 2350, 564, 600, 3933, 8839, 538, 5753, 609, 9210, 17952, 281, 589, 3590, 1738, 5623, 5861, 10064, 19010, 308, 14899, 269, 476, 1001, 276, 282, 476, 3066, 263, 276, 2567, 4391, 272, 268, 11025, 563, 306, 778, 1372, 334, 681, 269, 5668, 27701, 938, 2250, 17565, 538, 519, 2359, 540, 20560, 269, 10468, 9951, 344, 476, 1220, 271, 282, 4649, 630, 26625, 331, 476, 274, 2567, 306, 272, 1700, 306, 275, 563, 31690, 14662, 269, 12726, 2450, 585, 9354, 30424, 1759, 593, 6015, 8884, 269, 10684, 27084, 808, 476, 1960, 276, 282, 3066, 281, 3393, 1700, 2004, 563, 289, 1120, 514, 7537, 267, 1230, 333, 565, 2917, 631, 269, 1715, 1884, 773, 335, 850, 10364, 3075, 11257, 269, 3026, 340, 1503, 269, 7885, 269, 736, 263, 275, 1070, 476, 14138, 274, 1700, 14093, 273, 630, 1220, 273, 1916, 8110, 340, 17433, 661, 267, 570, 1682, 517, 570, 269, 3933, 8839, 8062, 609, 519, 1007, 1884, 773, 335, 850, 10364, 5061, 281, 1353, 6272, 267, 4052, 10083, 543, 5683, 6286, 269, 9210, 17952, 1763, 476, 1960, 280, 282, 3451, 281, 26316, 1700, 26783, 563, 8110, 787, 590, 267, 4591, 339, 623, 267, 5484, 20345, 631, 269, 2274, 557, 16210, 2350, 564, 600, 8957, 16087, 600, 1794, 788, 710, 1395, 8839, 585, 9864, 20560, 538, 1453, 1447, 982, 476, 1626, 1296, 540, 2085, 269, 4750, 540, 1126, 11719, 344, 269, 476, 1220, 279, 282, 2537, 263, 276, 2567, 276, 1428, 268, 280, 269, 9210, 889, 476, 1220, 279, 270, 4905, 270, 1015, 563, 298, 327, 584, 3570, 26712, 267, 918, 1054, 732, 25789, 267, 4406, 16780, 807, 594, 267, 1696, 620, 269, 2274, 557, 16210, 2350, 564, 600, 1395, 8839, 538, 1453, 609, 20560, 269, 623, 2664, 520, 337, 3026, 340, 1503, 269, 1220, 278, 282, 3607, 281, 25375, 268, 15996, 563, 289, 16967, 773, 631, 297, 267, 18475, 17433, 661, 267, 27550, 341, 4802, 623, 267, 1696, 620, 269, 18948, 540, 682, 557, 16210, 2350, 564, 600, 543, 6417, 3146, 3161, 16087, 600, 1794, 788, 710, 538, 9241, 8995, 20560, 269, 27096, 344, 269, 476, 1220, 278, 282, 6924, 281, 29710, 268, 2412, 279, 563, 13051, 5336, 523, 659, 1335, 661, 267, 24415, 614, 772, 269, 661, 24351, 543, 7109, 1464, 540, 682, 557, 16210, 2350, 564, 600, 476, 4968, 271, 8406, 7933, 538, 2550, 609, 18195, 800, 9864, 17465, 281, 320, 24352, 10938, 267, 5595, 15918, 785, 267, 4431, 518, 5498, 21124, 1353, 10442, 1395, 8839, 269, 3864, 2274, 557, 16210, 2350, 564, 600, 5530, 6828, 269, 9210, 850, 1186, 807, 269, 1220, 271, 282, 6078, 281, 14096, 277, 268, 12553, 274, 563, 302, 653, 808, 267, 570, 5060, 1817, 333, 594, 267, 2904, 570, 267, 918, 1663, 3455, 717, 267, 15261, 655, 518, 11860, 745, 601, 589, 267, 27956, 548, 10458, 717, 267, 1696, 620, 269, 2274, 557, 16210, 2350, 564, 600, 538, 1453, 609, 18195, 800, 20560, 281, 513, 24352, 10938, 1930, 6003, 1353, 538, 5125, 269, 1530, 714, 675, 2433, 519, 4760, 540, 519, 3703, 9210, 17952, 5948, 269, 476, 1220, 276, 282, 1691, 263, 278, 2567, 5325, 277, 268, 10019, 269, 9210, 889, 476, 1220, 276, 270, 6021, 270, 2767, 563, 306, 14024, 655, 2335, 5937, 601, 326, 5964, 808, 267, 18708, 670, 267, 10753, 613, 595, 1372, 700, 267, 853, 531, 3272, 570, 297, 267, 13643, 808, 267, 6181, 4752, 667, 267, 1696, 620, 269, 589, 1279, 3856, 1930, 2000, 8475, 10137, 1353, 12570, 17133, 543, 2623, 267, 7109, 1464, 267, 3106, 267, 543, 12117, 540, 7755, 9417, 633, 682, 557, 16210, 2350, 564, 600, 538, 1453, 9907, 476, 275, 547, 476, 1626, 1296, 609, 9864, 268, 976, 564, 17465, 269, 4750, 540, 1126, 11719, 344, 269, 476, 1001, 273, 282, 2767, 263, 272, 2567, 3199, 268, 280, 563, 294, 5055, 12528, 25526, 267, 15718, 8403, 681, 267, 4432, 614, 2006, 28251, 267, 27508, 654, 294, 267, 11709, 2107, 2006, 25553, 267, 717, 21516, 700, 297, 267, 1696, 620, 269, 17677, 15918, 785, 21897, 22306, 4693, 540, 7755, 9417, 633, 682, 557, 16210, 2350, 564, 600, 538, 12963, 9864, 17465, 269, 27096, 344, 269, 476, 1220, 277, 282, 5780, 263, 1556, 2567, 13679, 275, 268, 2568, 269, 9210, 889, 476, 1220, 277, 270, 6860, 270, 2764, 563, 303, 2088, 8566, 541, 5633, 808, 292, 267, 20918, 2993, 19010, 267, 12789, 1421, 28951, 667, 267, 18708, 670, 267, 5576, 22044, 2335, 5937, 601, 326, 5964, 808, 267, 30338, 645, 269, 1520, 31019, 633, 682, 557, 16210, 2350, 564, 600, 538, 12256, 543, 1762, 1453, 609, 18195, 800, 9864, 268, 976, 564, 17465, 269, 9210, 850, 1186, 807, 269, 476, 1220, 280, 282, 2004, 263, 276, 2567, 14625, 272, 268, 280, 269, 9210, 889, 476, 1220, 280, 270, 6349, 270, 2767, 563, 299, 5271, 529, 7897, 6751, 267, 631, 842, 345, 631, 267, 28865, 590, 297, 267, 18708, 670, 267, 13643, 808, 269, 11671, 322, 4321, 2360, 540, 7755, 9417, 633, 682, 557, 16210, 2350, 564, 600, 538, 1453, 609, 9864, 268, 976, 564, 17465, 281, 513, 19747, 267, 5595, 15918, 785, 267, 21897, 22306, 267, 1875, 514, 2536, 1640, 640, 4693, 269, 9210, 850, 1186, 807, 269, 476, 1220, 280, 282, 2004, 263, 1556, 2567, 26801, 278, 268, 8660, 269, 9210, 889, 476, 1220, 280, 270, 5400, 270, 2918, 563, 24445, 523, 22138, 6751, 267, 8551, 654, 293, 267, 4557, 670, 719, 523, 681, 267, 4864, 6359, 333, 623, 267, 717, 7342, 654, 289, 267, 3212, 4394, 661, 288, 267, 1696, 620, 269, 5410, 6823, 682, 557, 16210, 2350, 564, 600, 538, 1453, 543, 10708, 609, 18195, 800, 20560, 281, 2164, 540, 606, 1930, 2000, 8475, 3818, 7266, 516, 1353, 269, 3864, 4760, 540, 17328, 8824, 11719, 344, 2433, 661, 297, 14149, 2433, 4013, 4760, 540, 519, 3864, 14529, 8824, 27096, 344, 5980, 269, 476, 1220, 279, 282, 1321, 263, 275, 2567, 25834, 268, 278, 269, 9210, 889, 476, 1220, 278, 270, 1015, 270, 2190, 454, 268, 17593, 7348, 539, 281, 476, 25313, 2053, 454, 268, 7300, 8281, 539, 281, 476, 1789, 2053, 0, 347, 6944, 1026, 1903, 1475, 17357, 341, 718, 529, 3427, 10588, 476, 2004, 280, 297, 630, 7775, 4700, 2008, 21511, 8447, 8629, 2008, 19064, 698, 1588, 1475, 1626, 533, 269, 6902, 2008, 31871, 540, 9664, 1475, 1626, 2008, 28694, 676, 3163, 281, 589, 3194, 9122, 5358, 585, 23848, 9751, 267, 10610, 2679, 267, 543, 13159, 24524, 538, 476, 1321, 3687, 2373, 513, 10432, 1496, 11990, 9741, 316, 593, 6126, 2897, 330, 1749, 326, 2096, 2593, 2608, 293, 12767, 265, 11288, 593, 27216, 3091, 269, 8490, 4887, 814, 2760, 1044, 5488, 610, 4443, 982, 609, 713, 12316, 2899, 8584, 24764, 676, 281, 476, 272, 269, 3163, 538, 513, 3376, 2631, 11478, 1354, 519, 2413, 5736, 543, 538, 1082, 3140, 12977, 269, 7073, 2257, 568, 3982, 538, 922, 1935, 543, 3811, 538, 922, 2164, 267, 865, 621, 1631, 11225, 1018, 2257, 568, 538, 519, 7453, 652, 2631, 540, 519, 2165, 269, 3163, 538, 922, 3312, 2631, 729, 513, 2262, 585, 513, 1826, 540, 1702, 267, 2864, 982, 513, 7463, 2262, 585, 519, 13287, 540, 971, 1702, 269, 769, 1880, 267, 621, 729, 519, 269, 9049, 9128, 4400, 3427, 5358, 3883, 9049, 9128, 20048, 1834, 5853, 539, 538, 676, 519, 1977, 9142, 540, 8551, 1299, 7070, 543, 513, 1895, 540, 2257, 7855, 267, 9049, 9128, 814, 4359, 2257, 7924, 543, 6273, 1007, 5481, 540, 2257, 543, 4702, 3401, 585, 936, 3670, 5756, 269, 717, 17920, 28475, 5508, 9501, 19781, 13316, 623, 8008, 8085, 2752, 22003, 3633, 29706, 13993, 2975, 25972, 269, 13316, 590, 27263, 21201, 21398, 10498, 4041, 4811, 281, 631, 3198, 5442, 9501, 19781, 20465, 631, 3198, 5442, 9501, 19781, 267, 3370, 676, 20307, 8935, 16940, 599, 267, 5549, 269, 538, 24298, 519, 2230, 1982, 540, 519, 1360, 2038, 521, 269, 32087, 1851, 519, 3584, 5941, 941, 519, 2473, 5358, 267, 519, 22358, 5358, 267, 2230, 4915, 267, 543, 20691, 563, 306, 1460, 3275, 1310, 519, 2887, 540, 634, 5358, 267, 2859, 269, 21763, 547, 3367, 269, 17125, 1324, 10624, 269, 6126, 2897, 330, 1749, 326, 2096, 2593, 568, 606, 7317, 4441, 2861, 2257, 6437, 602, 2488, 13654, 1983, 585, 918, 268, 273, 526, 3446, 1053, 269, 26451, 1489, 585, 7855, 267, 3163, 275, 5825, 6227, 8447, 3163, 267, 5020, 3163, 267, 3047, 270, 22129, 3163, 543, 11660, 769, 11431, 269, 11916, 3163, 5358, 6092, 3883, 4860, 269, 476, 272, 270, 279, 270, 736, 1280, 1196, 1080, 267, 23937, 267, 543, 5924, 25533, 687, 5225, 3346, 1496, 16942, 6870, 316, 8525, 476, 273, 595, 11862, 290, 11660, 16827, 5623, 6713, 281, 16671, 4811, 296, 1160, 1842, 1023, 1107, 27587, 1835, 269, 4934, 14141, 748, 20450, 540, 3163, 18327, 602, 2247, 1532, 17344, 1782, 6901, 616, 711, 1175, 5342, 538, 20682, 15042, 269, 634, 3728, 19550, 3126, 1085, 2293, 519, 5680, 585, 519, 1655, 23153, 543, 3318, 3744, 4171, 1753, 326, 3497, 1382, 814, 8854, 10194, 563, 307, 23143, 3163, 8921, 2637, 568, 513, 2347, 570, 298, 1700, 279, 1982, 3710, 585, 519, 15726, 7704, 267, 538, 799, 1053, 8495, 267, 1374, 267, 1628, 267, 543, 1174, 9259, 1210, 513, 11100, 540, 3946, 6823, 267, 3059, 267, 3381, 267, 543, 1820, 2200, 269, 8734, 476, 4905, 267, 5788, 634, 4222, 540, 3163, 543, 922, 2228, 4760, 4609, 26520, 609, 519, 9342, 540, 922, 2146, 540, 4589, 267, 945, 1683, 5969, 12967, 1382, 267, 1547, 12756, 7377, 13960, 267, 13653, 540, 11020, 17292, 902, 267, 543, 1546, 4011, 1695, 2349, 636, 267, 8689, 540, 519, 26427, 3163, 4750, 1143, 1982, 267, 6443, 594, 571, 547, 16833, 909, 519, 1655, 2257, 2835, 540, 6744, 856, 1547, 3163, 11016, 568, 707, 11967, 2707, 585, 3377, 543, 19278, 2984, 827, 2257, 269, 898, 781, 2634, 1187, 585, 8049, 1004, 269, 0, 763, 3803, 540, 519, 7323, 2622, 2552, 652, 729, 4371, 538, 519, 15751, 8065, 543, 729, 1373, 751, 4582, 2213, 547, 5176, 476, 1789, 2929, 13588, 269, 898, 729, 2196, 676, 519, 2725, 17433, 13539, 543, 729, 735, 1229, 676, 7585, 16593, 543, 519, 16488, 941, 513, 8470, 540, 2367, 269, 6468, 945, 941, 851, 540, 519, 13889, 3893, 17914, 547, 7390, 519, 2680, 543, 693, 513, 5365, 2443, 513, 27646, 2443, 28520, 7912, 23038, 267, 588 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4168, 2052, 11663, 3203, 454, 28074, 540, 519, 1148, 17005, 689, 2342, 1310, 519, 2887, 540, 519, 5375, 4936, 7276, 568, 4168, 1148, 267, 4352, 713, 538, 1804, 851, 1317, 519, 15364, 540, 5939, 9562, 814, 12873, 5939, 1148, 1732, 982, 16712, 1568, 269, 2755, 519, 5375, 4936, 7276, 781, 2797, 2497, 9247, 25540, 1310, 519, 2887, 540, 7507, 267, 922, 3909, 15796, 267, 1018, 568, 2221, 519, 2413, 6377, 4936, 7826, 5783, 20827, 543, 14102, 2504, 540, 3909, 1148, 11052, 269, 4168, 2052, 11663, 3203, 454, 10190, 2696, 1767, 267, 968, 4131, 721, 1118, 812, 538, 938, 3239, 267, 1310, 938, 6010, 8864, 269, 1656, 1577, 873, 723, 2531, 514, 542, 936, 519, 3165, 540, 519, 4262, 543, 936, 519, 5017, 540, 519, 30723, 543, 936, 519, 13184, 543, 936, 782, 519, 3618, 543, 936, 1169, 1212, 9429, 3364, 602, 1212, 10134, 593, 519, 3618, 1848, 1924, 2696, 2813, 812, 538, 1010, 1378, 3239, 267, 538, 519, 3239, 540, 2696, 646, 2813, 1864, 282, 5256, 543, 4775, 646, 2813, 873, 269, 4168, 2052, 11663, 3203, 454, 26469, 267, 606, 19980, 548, 540, 2441, 4906, 676, 519, 786, 540, 2696, 267, 543, 30227, 938, 7015, 267, 1677, 519, 25598, 543, 21705, 14552, 538, 2441, 693, 2051, 1601, 2801, 281, 24553, 547, 596, 543, 4708, 689, 2696, 938, 12429, 269, 1284, 2141, 9684, 2696, 267, 519, 12429, 540, 938, 7083, 4906, 2441, 267, 950, 649, 7281, 585, 596, 267, 2094, 649, 4862, 540, 707, 5132, 538, 2441, 4906, 543, 540, 519, 2648, 602, 596, 723, 585, 782, 519, 25598, 267, 1317, 540, 519, 4126, 9788, 909, 585, 596, 538, 13140, 269, 2986, 713, 596, 723, 4862, 1354, 538, 519, 2262, 540, 519, 5168, 267, 519, 22258, 267, 3267, 4168, 717, 22284, 454, 3086, 972, 941, 2185, 7028, 693, 519, 2185, 15174, 540, 1142, 1796, 282, 922, 7028, 941, 851, 540, 519, 1796, 3294, 269, 2201, 519, 1283, 540, 519, 1796, 972, 729, 513, 9764, 1106, 3368, 513, 7750, 527, 1164, 267, 543, 593, 519, 1283, 540, 519, 1796, 922, 13978, 543, 922, 10665, 941, 851, 540, 621, 269, 1261, 23678, 1386, 593, 519, 10824, 540, 922, 13978, 543, 593, 922, 10665, 267, 10027, 889, 574, 267, 21495, 543, 13869, 4054, 267, 2687, 547, 519, 2312, 2230, 593, 1142, 267, 609, 530, 805, 26387, 782, 1472, 18667, 811, 269, 4168, 2052, 11663, 3203, 454, 297, 659, 984, 5030, 538, 519, 2244, 540, 1010, 4651, 781, 865, 30394, 11789, 267, 538, 519, 2244, 540, 2052, 22528, 269, 1452, 616, 519, 5481, 540, 15243, 269, 9478, 267, 1373, 11157, 8696, 1296, 2025, 267, 729, 2250, 1005, 519, 26600, 609, 1010, 14552, 269, 1261, 729, 513, 7911, 609, 519, 14930, 540, 31167, 327, 1695, 543, 2098, 559, 335, 1695, 267, 1010, 4651, 781, 24726, 269, 1656, 9478, 4547, 513, 3983, 1867, 540, 873, 547, 741, 4651, 269, 3767, 5840, 6068, 9478, 811, 982, 1022, 824, 540, 1010, 14930, 267, 1317, 646, 729, 519, 5067, 540, 1010, 2025, 2085, 269, 1656, 646, 1500, 1864, 513, 887, 2041, 540, 1082, 4778, 269, 1809, 950, 1010, 14552, 4718, 602, 741, 4651, 6068, 1864, 811, 982, 782, 1010, 14552, 267, 789, 554, 730, 1864, 543, 1223, 711, 3717, 25678, 547, 1864, 269, 3767, 9478, 1185, 513, 5326, 267, 543, 950, 646, 5143, 621, 547, 1010, 14552, 789, 554, 730, 1864, 1256, 811, 269, 3267, 4168, 2052, 11663, 3203, 454, 2171, 616, 5185, 609, 513, 1376, 1782, 4316, 269, 1284, 949, 1589, 602, 649, 666, 1406, 3802, 713, 4168, 2619, 267, 855, 8834, 6645, 721, 602, 649, 723, 782, 540, 519, 2200, 602, 649, 991, 538, 1010, 968, 854, 1390, 543, 10475, 14767, 6100, 1879, 938, 6381, 2014, 538, 572, 15247, 543, 4555, 540, 21817, 547, 7544, 1472, 938, 8186, 267, 2696, 3947, 721, 513, 1259, 856, 269, 1284, 666, 9101, 713, 13313, 676, 6616, 2696, 998, 4906, 2441, 269, 1215, 666, 649, 917, 2696, 286, 1635, 2921, 13924, 693, 3571, 2262, 256, 2696, 814, 2907, 3177, 585, 721, 543, 1261, 568, 3168, 585, 1004, 945, 786, 723, 519, 10100, 547, 5372, 741, 1699, 3206, 609, 2696, 779, 5132, 6888, 269, 3657, 596, 3168, 585, 519, 4555, 540, 2696, 286, 634, 6426, 568, 2696, 779, 1272, 1489, 547, 721, 607, 649, 7237, 513, 1158, 540, 7411, 563, 1607, 568, 519, 1433, 540, 519, 5481, 540, 14088, 269, 1879, 2696, 2813, 812, 267, 646, 1500, 1864, 538, 519, 6010, 8864, 540, 2696, 269, 22503, 543, 4775, 646, 2813, 873, 267, 543, 646, 25552, 873, 543, 3957, 873, 2494, 950, 789, 941, 2813, 269, 1879, 14088, 1185, 5030, 476, 9873, 1296, 267, 646, 3170, 22363, 513, 5067, 538, 1010, 1378, 6010, 8864, 267, 1310, 1010, 3239, 267, 543, 3957, 1864, 590, 996, 269, 634, 2395, 540, 14088, 1310, 646, 3170, 22363, 590, 996, 941, 476, 8517, 1296, 282, 543, 646, 1185, 824, 14930, 543, 20766, 269, 4935, 782, 519, 2395, 602, 14088, 5030, 941, 476, 280, 1789, 1296, 267, 543, 646, 5747, 269, 3267, 4168, 717, 22284, 454, 6826, 22760, 8988, 568, 4547, 689, 570, 6702, 880, 267, 543, 4154, 689, 772, 874, 1794, 269, 1358, 616, 519, 960, 540, 519, 13492, 2006, 543, 540, 519, 3946, 540, 519, 575, 9529, 19431, 282, 741, 7802, 568, 642, 14489, 543, 13711, 282, 789, 616, 782, 519, 960, 540, 9952, 2367, 269, 1809, 519, 7083, 568, 519, 3020, 2696, 282, 646, 568, 519, 2713, 2696, 543, 519, 2479, 331, 8463, 3751, 269, 2311, 1010, 32716, 519, 3618, 844, 1389, 267, 543, 519, 6082, 3112, 22036, 1010, 967, 793, 566, 269, 4935, 4927, 596, 2161, 547, 873, 281, 968, 763, 10971, 945, 1705, 711, 1118, 519, 30723, 543, 519, 3618, 4927, 829, 880, 689, 519, 3618, 543, 689, 896, 519, 30723, 1848, 4168, 717, 22284, 454, 15900, 4168, 1148, 3470, 1161, 689, 7389, 2282, 519, 8129, 540, 8567, 269, 634, 9510, 4168, 18810, 616, 689, 26878, 15047, 328, 267, 6580, 547, 519, 4098, 540, 519, 476, 273, 526, 2540, 269, 634, 4102, 2516, 540, 7216, 4168, 10367, 2097, 689, 519, 9723, 2125, 538, 519, 9697, 659, 558, 2125, 540, 7507, 267, 543, 1397, 519, 4720, 540, 519, 26841, 540, 4906, 267, 513, 1184, 711, 2347, 2394, 519, 476, 277, 628, 2540, 267, 2094, 950, 519, 6671, 5920, 540, 4906, 538, 1148, 814, 7283, 26526, 5812, 563, 8170, 6424, 269, 645, 1652, 519, 7083, 267, 744, 1250, 9997, 267, 543, 782, 602, 568, 1369, 803, 267, 12196, 1010, 13411, 2012, 256, 645, 1652, 519, 7083, 267, 744, 1250, 9997, 267, 543, 7340, 711, 782, 1010, 2640, 267, 945, 8483, 1161, 782, 707, 538, 18709, 267, 945, 646, 1023, 782, 707, 3676, 267, 945, 28099, 2114, 707, 1272, 689, 519, 8486, 267, 945, 31750, 596, 609, 32344, 2648, 543, 23502, 267, 945, 25389, 596, 609, 1434, 865, 602, 707, 6107, 568, 17105, 899, 519, 23914, 781, 269, 3267, 4168, 717, 22284, 454, 9336, 1753, 568, 865, 1454, 811, 982, 1175, 6821, 543, 9486, 269, 5851, 568, 519, 1747, 1141, 649, 2661, 267, 14902, 267, 543, 2648, 269, 898, 781, 606, 4082, 540, 945, 649, 616, 543, 1018, 649, 3494, 269, 2334, 781, 1946, 649, 616, 8149, 547, 3246, 4190, 4168, 1148, 543, 31369, 1753, 26955, 14585, 269, 3776, 6612, 568, 4543, 596, 1711, 513, 1747, 602, 9356, 707, 5132, 543, 6087, 596, 547, 2671, 621, 609, 1866, 269, 1924, 3605, 1007, 2081, 547, 2671, 707, 2295, 543, 2696, 781, 2648, 2221, 2336, 763, 5067, 540, 513, 4807, 540, 519, 20766, 540, 8355, 267, 543, 1010, 4651, 729, 513, 812, 540, 14977, 516, 269, 1261, 568, 8036, 547, 960, 538, 4154, 267, 8988, 267, 19730, 267, 4401, 267, 6149, 267, 543, 3574, 267, 543, 538, 13711, 267, 4544, 267, 543, 6309, 5459, 17234, 543, 5386, 32028, 267, 543, 547, 798, 782, 12204, 540, 23678, 1324, 543, 14892, 1022, 1374, 602, 949, 581, 8655, 1864, 267, 609, 707, 13492, 5443, 267, 519, 13492, 5443, 540, 1250, 18459, 267, 6424, 707, 4651, 269, 4168, 717, 22284, 454, 3891, 1500, 476, 4968, 695, 3658, 540, 29041, 4154, 267, 1210, 1614, 1295, 553, 540, 4154, 593, 1142, 13104, 267, 543, 519, 4622, 2322, 873, 538, 519, 2777, 540, 519, 4104, 540, 26288, 269, 5047, 267, 519, 4622, 1500, 513, 1390, 17599, 540, 32334, 543, 6772, 4660, 621, 609, 15568, 4154, 269, 1703, 941, 3670, 3268, 547, 519, 17599, 543, 513, 5180, 1283, 547, 519, 17599, 693, 922, 15493, 267, 543, 7916, 593, 1142, 2427, 540, 519, 10160, 267, 543, 1079, 21495, 7555, 22290, 519, 7916, 269, 3828, 10679, 21495, 941, 7555, 972, 593, 519, 3670, 3268, 593, 519, 835, 2427, 543, 593, 519, 824, 282, 4986, 899, 621, 729, 1500, 585, 1022, 824, 10806, 269, 2353, 3751, 21125, 781, 6704, 8043, 941, 540, 4154, 267, 543, 782, 519, 8043, 540, 519, 2777, 540, 519, 4104, 540, 26288, 941, 540, 6986, 4154, 269, 7183, 729, 540, 8988, 282, 621, 729, 711, 2808, 3407, 538, 519, 2395, 540, 21125, 269, 6426, 7638, 572, 9931, 3203, 454, 9336, 1753, 568, 865, 1454, 811, 982, 1175, 6821, 543, 9486, 269, 5851, 568, 519, 1747, 1141, 649, 2661, 267, 14902, 267, 543, 2648, 269, 898, 781, 606, 4082, 540, 945, 649, 616, 543, 1018, 649, 3494, 269, 2334, 781, 1946, 649, 616, 8149, 547, 3246, 4190, 4168, 1148, 543, 31369, 1753, 26955, 14585, 269, 3776, 6612, 568, 4543, 596, 1711, 513, 1747, 602, 9356, 707, 5132, 543, 6087, 596, 547, 2671, 621, 609, 1866, 269, 1924, 3605, 1007, 2081, 547, 2671, 707, 2295, 543, 2696, 781, 2648, 2221, 256, 4168, 2052, 11663, 3203, 454, 2108, 8450, 267, 594, 723, 1572, 676, 2012, 2142, 345, 531, 601, 519, 5067, 540, 772, 686, 267, 5067, 540, 15049, 267, 540, 519, 14316, 540, 28311, 267, 543, 594, 723, 4904, 1864, 609, 519, 13336, 540, 2696, 267, 609, 2702, 543, 4987, 267, 609, 1702, 543, 782, 23477, 267, 547, 28433, 7499, 6272, 267, 547, 960, 538, 4154, 267, 8988, 267, 543, 19730, 267, 538, 5969, 10007, 585, 4259, 267, 543, 538, 26002, 3574, 267, 547, 960, 538, 1169, 4739, 269, 1656, 1531, 1245, 267, 594, 723, 12912, 609, 1864, 744, 3128, 328, 629, 267, 519, 5067, 540, 13259, 529, 600, 778, 267, 540, 519, 14316, 540, 8355, 269, 1656, 594, 723, 2016, 547, 782, 2111, 2367, 2702, 267, 602, 789, 949, 1118, 782, 602, 594, 723, 26017, 596, 281, 3267, 6426, 7638, 572, 9931, 3203, 454, 763, 1913, 540, 22819, 31109, 267, 519, 5067, 540, 670, 20488, 11672, 267, 835, 540, 519, 20577, 945, 941, 538, 1323, 987, 1054, 538, 519, 2244, 540, 18148, 267, 547, 7247, 519, 2262, 540, 519, 7083, 3357, 538, 519, 2395, 540, 21280, 11672, 519, 5067, 540, 2549, 517, 267, 4622, 540, 28311, 267, 538, 519, 19412, 18818, 1032, 540, 1010, 12081, 269, 898, 3357, 849, 538, 519, 2395, 540, 8614, 14833, 328, 752, 574, 519, 5067, 540, 21280, 11672, 267, 4622, 540, 28311, 267, 543, 2394, 519, 1439, 540, 519, 1605, 22770, 1032, 540, 2098, 539, 2131, 11672, 267, 519, 5067, 540, 21280, 11672, 267, 4622, 540, 28311, 267, 2394, 519, 24811, 540, 13243, 538, 519, 11359, 3923, 269, 3767, 519, 2262, 540, 519, 7083, 3357, 547, 803, 267, 6031, 267, 968, 6524, 594, 4646, 596, 538, 519, 27042, 594, 6785, 596, 267, 543, 1354, 596, 941, 4535, 594, 13394, 3603, 596, 282, 594, 12912, 596, 513, 22445, 547, 519, 6082, 1848, 4429, 9336, 1753, 568, 865, 1454, 811, 982, 1175, 6821, 543, 9486, 269, 5851, 568, 519, 1747, 1141, 649, 2661, 267, 14902, 267, 543, 2648, 269, 898, 781, 606, 4082, 540, 945, 649, 616, 543, 1018, 649, 3494, 269, 2334, 781, 1946, 649, 616, 8149, 547, 3246, 4190, 4168, 1148, 543, 31369, 1753, 26955, 14585, 269, 3776, 6612, 568, 4543, 596, 1711, 513, 1747, 602, 9356, 707, 5132, 543, 6087, 596, 547, 2671, 621, 609, 1866, 269, 1924, 3605, 1007, 2081, 547, 2671, 707, 2295, 543, 2696, 781, 2648, 2221, 256, 6426, 7638, 572, 9931, 3203, 0, 13420, 20884, 17773, 5729, 476, 275, 7689, 4643, 661, 5586, 656, 6103, 18679, 16032, 2296, 7689, 4643, 1280, 476, 275, 1320, 5729, 4400, 3427, 7454, 18679, 2005, 6501, 11193, 7689, 12697, 6096, 454, 15900, 10812, 3464, 7689, 12697, 476, 276, 628, 6103, 3733, 1715, 5729, 18679, 324, 11915, 1153, 1148, 3992, 4566, 454, 16498, 4065, 7689, 4643, 22276, 1715, 7353, 1748, 18679, 8512, 338, 2986, 589, 7233, 7689, 4643, 6103, 476, 274, 20668, 2986 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 454, 274, 476, 26951, 273, 454, 275, 476, 6924, 273, 276, 454, 276, 476, 13670, 6734, 454, 277, 476, 21854, 1626, 454, 278, 476, 28760, 10619, 454, 279, 476, 28242, 10695, 454, 280, 476, 276, 5392, 6795, 454, 1015, 476, 5780, 272, 1240, 454, 1556, 476, 4037, 279, 8287, 454, 1321, 476, 279, 2412, 1704, 454, 1724, 476, 8660, 275, 10695, 454, 1691, 476, 3445, 273, 1321, 454, 1428, 476, 279, 8064, 6924, 454, 1626, 476, 279, 1015, 2537, 454, 1704, 476, 3583, 280, 5881, 454, 1240, 476, 6812, 277, 3583, 454, 866, 476, 14596, 11152, 454, 736, 476, 27844, 4029, 454, 2641, 476, 13975, 2190, 454, 2420, 476, 11277, 6321, 454, 2537, 476, 277, 2537, 278, 454, 2190, 476, 27038, 280, 454, 1839, 476, 9262, 275, 454, 2918, 476, 3192, 454, 2767, 476, 2918, 454, 8469, 1014, 568, 476, 1724, 269, 11793, 4343, 454, 13614, 568, 476, 1724, 269, 4649, 278, 279, 3393, 692, 17397, 676, 24898, 593, 476, 1220, 274, 268, 1556, 268, 866, 476, 1704, 281, 2641, 281, 3066, 692, 9612, 281, 9612, 1560, 912, 2690, 4548, 630, 271, 264, 0, 292, 4488, 306, 476, 25313, 281, 16407, 6193, 5811, 11872, 5851, 6092, 27084, 25103, 24110, 700, 624, 999, 5240, 16766, 14581, 1401, 4461, 692, 2704, 326, 3596, 6193, 2079, 538, 713, 1576, 568, 5266, 13016, 269, 1703, 568, 1100, 23739, 2275, 13616, 834, 680, 1872, 538, 519, 2338, 257, 1259, 547, 798, 713, 269, 5395, 1190, 7634, 540, 519, 2553, 3238, 568, 2944, 538, 938, 6030, 661, 4488, 306, 476, 20542, 543, 661, 4488, 306, 476, 28656, 269, 12989, 616, 930, 1883, 1919, 547, 11298, 543, 10691, 11298, 950, 7421, 707, 5690, 543, 6388, 538, 713, 1362, 780, 1012, 12085, 547, 1684, 692, 18800, 3184, 476, 273, 540, 519, 1837, 269, 898, 814, 1806, 540, 7421, 6620, 538, 2462, 14114, 327, 1106, 267, 543, 2982, 519, 3044, 2462, 14114, 327, 12596, 602, 1402, 909, 269, 2659, 1483, 2243, 568, 799, 540, 1346, 12596, 10039, 547, 707, 5690, 780, 10112, 2541, 519, 10782, 2013, 269, 1548, 596, 2811, 3843, 547, 1205, 568, 519, 9803, 5580, 3808, 596, 666, 6961, 780, 13434, 584, 5270, 1894, 616, 513, 13561, 1907, 950, 7421, 25276, 6620, 269, 14572, 24088, 1894, 538, 2489, 568, 3564, 713, 1576, 267, 855, 972, 781, 1152, 513, 7008, 540, 2626, 3029, 602, 4019, 538, 1018, 649, 3513, 581, 3257, 267, 865, 782, 596, 2811, 2731, 991, 547, 1294, 568, 799, 835, 596, 723, 269, 6423, 3184, 476, 273, 543, 513, 8799, 4367, 547, 24088, 1894, 693, 5291, 2517, 4178, 6983, 338, 269, 706, 651, 12975, 270, 349, 7637, 270, 777, 22812, 2017, 5270, 11258, 780, 13706, 782, 519, 4830, 4632, 269, 18763, 1797, 519, 1919, 602, 666, 1332, 538, 2450, 585, 1114, 2042, 269, 901, 2882, 3344, 540, 519, 3403, 267, 971, 607, 519, 1297, 540, 1239, 3688, 543, 519, 5021, 2009, 2450, 540, 513, 2582, 1239, 6221, 267, 607, 1134, 607, 3344, 540, 519, 3977, 267, 552, 3052, 1421, 875, 1082, 4267, 972, 1522, 581, 780, 1103, 2489, 267, 972, 616, 1079, 1883, 8200, 4632, 585, 1022, 1982, 281, 519, 1297, 540, 4238, 5340, 267, 543, 519, 2179, 540, 2230, 1031, 269, 634, 1101, 11887, 950, 707, 3009, 786, 581, 1932, 3500, 547, 4194, 513, 2462, 1966, 267, 519, 2034, 950, 621, 786, 2196, 856, 540, 3965, 780, 2026, 3254, 538, 519, 1433, 267, 596, 14974, 1524, 1082, 3515, 540, 3009, 547, 513, 744, 263, 272, 264, 834, 22780, 1701, 898, 3085, 1405, 2339, 875, 2462, 602, 1770, 568, 607, 1279, 607, 621, 3085, 1405, 4096, 593, 519, 4830, 4756, 596, 2811, 14236, 269, 8943, 5673, 593, 513, 4756, 950, 972, 781, 513, 8520, 5473, 602, 4756, 267, 552, 3052, 1421, 2387, 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 562, 282, 1341, 266, 328, 23375, 5673, 593, 2387, 333, 27471, 19400, 856, 6456, 17787, 269, 1879, 596, 5299, 610, 1289, 1265, 593, 513, 8708, 267, 972, 781, 513, 6456, 8520, 602, 5673, 593, 519, 2450, 540, 519, 8708, 269, 5457, 602, 8429, 1239, 676, 1871, 1281, 513, 5299, 780, 9616, 281, 2368, 595, 10030, 735, 32078, 1152, 5299, 513, 1780, 8386, 17032, 5569, 952, 519, 5569, 4991, 9168, 269, 1403, 596, 1616, 547, 8263, 602, 267, 2161, 865, 538, 707, 2079, 267, 855, 3314, 602, 713, 1152, 2306, 513, 3017, 952, 707, 3009, 3085, 1405, 12189, 519, 5569, 780, 4415, 2230, 14305, 267, 835, 3390, 568, 875, 1082, 12215, 1205, 1500, 269, 4634, 811, 1271, 568, 875, 1454, 2230, 568, 2877, 693, 519, 1482, 942, 538, 519, 10782, 2013, 780, 290, 761, 1227, 6218, 875, 519, 12170, 1239, 1281, 543, 1281, 711, 6474, 519, 10763, 6811, 269, 654, 880, 995, 12805, 786, 6336, 2798, 269, 654, 880, 995, 12805, 1797, 1919, 899, 834, 3240, 2079, 3081, 715, 273, 267, 543, 519, 1239, 814, 513, 7455, 2469, 909, 267, 865, 621, 13352, 715, 273, 1701, 1403, 596, 723, 2653, 1569, 547, 930, 2241, 7455, 17501, 2645, 267, 899, 1346, 538, 30731, 610, 606, 2228, 3135, 267, 899, 2098, 684, 313, 684, 2593, 267, 946, 873, 547, 1294, 952, 707, 1239, 2731, 13352, 267, 610, 952, 519, 3514, 4991, 8338, 543, 8338, 543, 2338, 1205, 8273, 780, 1012, 12085, 547, 10691, 1684, 692, 2710, 10691, 6146, 3054, 267, 8259, 596, 2648, 3257, 713, 2186, 540, 3364, 269, 30003, 1434, 4267, 616, 476, 274, 547, 476, 276, 3817, 269, 7043, 518, 3283, 616, 1419, 4904, 856, 609, 9748, 540, 11708, 610, 3009, 1820, 719, 610, 824, 1919, 602, 1039, 2370, 952, 1022, 1871, 269, 898, 781, 2182, 538, 1447, 982, 476, 274, 3817, 547, 2965, 1118, 1312, 606, 10763, 543, 12170, 2013, 780, 2710, 10691, 1331, 519, 3003, 3009, 538, 519, 2079, 269, 8307, 2694, 540, 519, 3009, 602, 616, 1045, 12097, 950, 519, 4295, 4238, 616, 1572, 2339, 269, 19461, 1436, 267, 3977, 8228, 543, 865, 593, 267, 616, 711, 4143, 780, 2710, 10691, 798, 1175, 1239, 2079, 267, 1775, 4318, 1421, 7455, 17501, 269, 1684, 10691, 798, 1175, 5690, 545, 2079, 269, 5637, 616, 2565, 269, 634, 12170, 2427, 11974, 519, 2953, 1145, 540, 519, 10763, 2427, 269, 0, 258, 16797, 8382, 281, 1879, 1079, 18062, 616, 18202, 8195, 1265, 519, 5506, 540, 3478, 513, 2698, 1447, 982, 476, 276, 2496, 6944, 757, 454, 305, 3326, 1447, 982, 513, 2507, 17438, 454, 274, 476, 273, 270, 277, 630, 3451, 269, 3451, 260, 994, 275, 476, 274, 270, 277, 630, 2004, 260, 994, 276, 476, 275, 270, 277, 630, 5780, 269, 5780, 278, 260, 994, 277, 476, 276, 270, 277, 630, 10695, 269, 3451, 260, 2020, 1012, 1548, 568, 519, 5506, 540, 12902, 513, 18062, 1447, 982, 476, 276, 2496, 30043, 17438, 540, 3478, 513, 1297, 1447, 982, 476, 276, 568, 284, 5038, 284, 3953, 780, 1012, 1548, 568, 519, 5506, 540, 12902, 476, 273, 18062, 543, 12902, 513, 476, 276, 1287, 476, 272, 2496, 2467, 568, 513, 476, 1626, 5506, 540, 3478, 513, 476, 273, 593, 519, 1101, 5066, 543, 513, 476, 1626, 5506, 540, 3478, 513, 476, 276, 593, 519, 2034, 5066, 780, 1012, 1548, 568, 519, 5506, 540, 18176, 1447, 982, 476, 275, 609, 476, 273, 18062, 2496, 10521, 630, 277, 21758, 264, 18062, 5066, 5506, 3349, 692, 305, 3326, 513, 2507, 17438, 454, 273, 476, 272, 270, 3607, 630, 273, 269, 278, 4281, 260, 994, 274, 476, 274, 270, 3607, 630, 279, 269, 18357, 260, 994, 275, 476, 277, 270, 3607, 630, 1626, 269, 5780, 278, 260, 994, 276, 476, 1015, 270, 3607, 630, 2767, 269, 278, 4281, 260, 2020, 1012, 1548, 568, 519, 5506, 540, 12902, 513, 2040, 1447, 982, 476, 275, 2496, 763, 5506, 540, 3478, 513, 2040, 1447, 982, 610, 3160, 547, 476, 275, 722, 489, 529, 476, 272, 270, 277, 269, 5153, 8386, 9912, 7778, 281, 1879, 1079, 546, 1182, 616, 18202, 267, 519, 1297, 540, 4093, 616, 281, 476, 277, 265, 277, 815, 476, 3607, 799, 568, 2854, 538, 10288, 8424, 9967, 540, 6364, 540, 1312, 546, 1182, 780, 1012, 1548, 568, 519, 5506, 540, 12902, 513, 2040, 1447, 982, 476, 1015, 2496, 6546, 9103, 1023, 476, 279, 4999, 856, 540, 476, 3607, 602, 1223, 581, 4557, 610, 2362, 267, 865, 476, 279, 270, 3607, 284, 476, 273, 270, 280, 269, 2094, 594, 4941, 1447, 982, 4557, 476, 272, 24179, 273, 270, 280, 264, 815, 476, 278, 270, 280, 5506, 540, 3478, 1447, 982, 476, 1015, 780, 1012, 1548, 568, 519, 5506, 540, 3478, 513, 2698, 540, 476, 278, 950, 12902, 476, 273, 18062, 2496, 23536, 3809, 585, 519, 1079, 18062, 692, 296, 6573, 18306, 19611, 281, 1109, 2659, 2243, 281, 1548, 568, 519, 5506, 602, 1079, 4023, 3670, 521, 3660, 18062, 1312, 5066, 519, 1482, 1297, 888, 13707, 7089, 540, 10659, 17438, 454, 278, 476, 277, 476, 1626, 269, 6858, 14999, 279, 476, 276, 476, 1724, 269, 8660, 14999, 280, 476, 275, 476, 1556, 269, 1556, 14999, 1015, 476, 274, 476, 279, 269, 3451, 260, 0, 258, 4569, 692, 763, 2040, 540, 1079, 9981, 568, 476, 1321, 269, 28039, 3017, 538, 741, 23483, 568, 476, 273, 270, 280, 269, 14419, 519, 476, 273, 9981, 780, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 274, 269, 26461, 479, 476, 9610, 454, 272, 269, 835, 1297, 26905, 1535, 454, 1492, 824, 476, 955, 268, 586, 454, 343, 20742, 284, 1321, 476, 955, 15010, 1535, 815, 476, 1321, 3917, 454, 343, 910, 476, 272, 30819, 815, 476, 273, 270, 280, 454, 1321, 3917, 910, 476, 272, 30819, 815, 476, 273, 270, 280, 454, 20123, 17586, 676, 476, 280, 344, 454, 10482, 344, 910, 476, 280, 344, 317, 273, 910, 476, 280, 815, 476, 273, 344, 454, 280, 344, 317, 273, 910, 476, 11793, 344, 1341, 476, 280, 815, 476, 271, 454, 338, 9876, 519, 13392, 267, 1281, 711, 2097, 856, 8799, 692, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 14006, 539, 676, 1234, 4176, 454, 273, 269, 1403, 586, 568, 519, 3677, 1297, 454, 343, 20742, 815, 476, 1321, 454, 272, 24474, 910, 476, 272, 30819, 815, 476, 273, 270, 280, 454, 272, 24474, 268, 476, 272, 14370, 1321, 14870, 264, 815, 476, 273, 270, 280, 454, 3086, 621, 7475, 1454, 12137, 518, 692, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 14006, 539, 676, 522, 984, 548, 1188, 454, 274, 269, 7064, 267, 522, 984, 548, 1188, 454, 296, 1058, 2731, 1224, 519, 2055, 811, 5402, 780, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 14006, 539, 676, 1234, 4176, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 4569, 692, 288, 2318, 8870, 568, 476, 273, 1447, 982, 1776, 269, 1403, 519, 2040, 540, 519, 23483, 540, 519, 4130, 543, 7466, 519, 23483, 540, 519, 3677, 568, 476, 276, 270, 1321, 267, 1287, 1265, 519, 1079, 9981, 269, 15821, 4082, 568, 281, 476, 272, 14672, 268, 273, 1341, 630, 273, 264, 272, 14672, 815, 476, 276, 270, 1321, 692, 24216, 676, 9995, 344, 593, 5988, 476, 1626, 267, 476, 1001, 278, 454, 273, 269, 12693, 2979, 692, 15290, 519, 23483, 540, 519, 3677, 540, 519, 1079, 15654, 1256, 9981, 568, 10208, 539, 689, 476, 275, 2053, 519, 23483, 540, 519, 4130, 267, 519, 1267, 568, 476, 276, 270, 277, 269, 1265, 9981, 780, 24216, 676, 14667, 593, 4864, 476, 279, 267, 476, 1001, 278, 454, 274, 269, 12693, 2979, 692, 604, 519, 23483, 540, 519, 4130, 540, 1079, 15654, 9981, 568, 10208, 539, 689, 1614, 2053, 519, 23483, 540, 519, 3677, 267, 519, 1267, 568, 476, 274, 270, 1015, 269, 1265, 519, 9981, 692, 24216, 676, 12137, 1961, 1583, 3757, 334, 593, 4864, 476, 280, 267, 476, 1001, 277, 454, 275, 269, 12693, 2852, 2979, 692, 296, 798, 711, 1174, 513, 1966, 689, 513, 1257, 1433, 610, 875, 547, 4194, 519, 1966, 585, 519, 2626, 269, 16393, 695, 727, 821, 1397, 803, 519, 3268, 630, 19651, 960, 264, 593, 875, 547, 4194, 713, 2243, 269, 634, 2040, 540, 519, 954, 7970, 689, 476, 272, 998, 562, 568, 562, 3799, 266, 272, 8358, 273, 269, 519, 2040, 692, 24216, 676, 546, 1511, 593, 4864, 476, 1724, 267, 476, 1001, 271, 454, 276, 269, 12693, 2979, 948, 692, 322, 746, 930, 835, 5225, 2491, 547, 803, 23483, 875, 547, 1265 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17462, 18830, 772, 344, 724, 2720, 454, 19013, 713, 2259, 568, 1447, 8465, 538, 519, 2479, 19145, 27782, 560, 8643, 4346, 267, 6028, 1082, 1762, 1004, 896, 23974, 1881, 585, 1082, 540, 519, 6932, 6009, 269, 4132, 19689, 538, 27782, 16330, 4386, 538, 513, 6413, 896, 519, 1416, 540, 513, 4387, 8164, 2009, 563, 9827, 513, 1587, 540, 741, 18005, 9930, 19631, 2729, 568, 519, 586, 4669, 267, 513, 6239, 7489, 23029, 23401, 513, 751, 701, 324, 267, 799, 729, 3560, 762, 543, 3351, 9107, 593, 519, 10792, 6239, 7489, 2848, 28500, 269, 1452, 1507, 3043, 5321, 616, 1869, 1336, 538, 930, 2694, 540, 27782, 16330, 267, 855, 585, 519, 1034, 851, 789, 616, 1031, 538, 16873, 543, 585, 9597, 1023, 543, 15805, 13492, 269, 2353, 476, 1789, 27782, 2021, 779, 31321, 729, 1336, 547, 581, 25192, 267, 799, 4667, 4052, 2016, 519, 991, 547, 1832, 519, 3952, 3636, 689, 519, 4411, 1813, 547, 519, 4411, 20296, 4179, 2517, 12248, 787, 3118, 8455, 531, 321, 719, 1664, 2593, 270, 22057, 2914, 1580, 1922, 324, 2137, 31574, 1794, 12112, 2914, 1580, 1922, 324, 2137, 270, 2175, 538, 519, 3148, 269, 634, 15399, 29354, 21489, 5023, 540, 2021, 779, 25192, 538, 27782, 568, 1360, 1455, 267, 607, 538, 7612, 476, 1321, 269, 634, 3337, 540, 519, 15399, 29354, 21489, 5023, 666, 581, 9833, 607, 513, 23314, 540, 519, 7881, 543, 13919, 6240, 968, 19769, 519, 1318, 1259, 609, 8699, 538, 2295, 892, 693, 4179, 2517, 330, 1170, 277, 330, 691, 340, 23357, 9706, 619, 976, 270, 1708, 274, 2173, 1410, 4618, 2914, 1580, 1673, 908, 28621, 728, 3887, 854, 2251, 3917, 537, 16250, 539, 3562, 268, 3104, 270, 519, 4295, 540, 4457, 10340, 269, 634, 3337, 540, 519, 21489, 779, 5023, 267, 24933, 267, 543, 5580, 8728, 616, 2147, 547, 519, 2021, 779, 25192, 538, 27782, 16330, 267, 772, 345, 31990, 6017, 267, 543, 824, 6239, 7489, 4525, 607, 2938, 538, 7612, 476, 1724, 269, 22682, 267, 519, 2021, 779, 25192, 538, 27782, 941, 811, 610, 1447, 6766, 676, 519, 21489, 2528, 538, 6239, 7489, 4529, 2059, 519, 28010, 10003, 4586, 22746, 4567, 13319, 666, 32570, 2021, 779, 4830, 14789, 543, 3337, 741, 3239, 538, 519, 1007, 5736, 269, 4438, 519, 1974, 540, 14576, 19092, 538, 3624, 630, 31634, 1700, 14096, 280, 1070, 5771, 3459, 547, 3262, 538, 7118, 652, 607, 6259, 543, 14655, 22278, 28953, 547, 2473, 514, 10202, 836, 27782, 543, 3964, 9923, 13196, 563, 4002, 13723, 267, 513, 27782, 5480, 13684, 513, 3670, 18881, 17735, 4845, 543, 10288, 1200, 547, 5781, 2638, 538, 609, 7128, 269, 968, 2691, 1250, 7385, 8452, 538, 3624, 267, 789, 3576, 2476, 1200, 1780, 1636, 543, 27782, 15335, 3556, 267, 543, 1352, 1185, 1044, 1101, 2322, 538, 2777, 10654, 585, 476, 3445, 2395, 1354, 1373, 3144, 547, 606, 2028, 618, 3786, 269, 2701, 729, 538, 519, 3786, 585, 513, 1032, 543, 1287, 729, 6410, 547, 513, 12051, 609, 606, 476, 8517, 3917, 10224, 10865, 14057, 2223, 646, 5143, 966, 29151, 269, 968, 10521, 540, 1250, 14552, 267, 513, 11078, 543, 513, 11078, 2987, 25237, 941, 782, 3144, 547, 13122, 593, 519, 1482, 1554, 538, 4864, 540, 476, 1001, 279, 585, 1100, 7805, 2601, 2223, 589, 724, 574, 1245, 320, 5143, 966, 29151, 267, 4946, 602, 782, 540, 873, 941, 2016, 1279, 7890, 5220, 267, 8151, 689, 476, 1556, 547, 476, 1691, 1296, 269, 0, 17637, 532, 519, 2142, 14410, 289, 16466, 5547, 454, 763, 1739, 674, 761, 4506, 6516, 2982, 519, 28176, 585, 713, 1788, 563, 763, 1494, 11230, 10309, 568, 4448, 3842, 645, 17668, 781, 1323, 11530, 3562, 5937, 580, 1388, 20593, 614, 630, 5084, 290, 3738, 20382, 563, 17668, 289, 781, 12746, 11378, 666, 1152, 20496, 513, 3193, 540, 476, 272, 269, 279, 309, 282, 865, 267, 621, 781, 1360, 1271, 547, 946, 519, 4142, 8894, 5344, 12746, 6453, 8930, 267, 8930, 623, 280, 318, 3953, 630, 11017, 1297, 476, 3953, 540, 519, 27296, 623, 280, 1070, 799, 2488, 454, 10472, 6453, 269, 1684, 711, 1921, 519, 1494, 11230, 10309, 547, 519, 3339, 476, 274, 269, 274, 309, 610, 476, 276, 309, 1379, 986, 2812, 267, 607, 713, 454, 15884, 3441, 519, 16267, 269, 1284, 3513, 11737, 337, 3320, 4584, 519, 12746, 3403, 589, 2562, 276, 593, 8930, 623, 280, 318, 3607, 607, 938, 454, 6358, 8930, 267, 543, 1921, 602, 547, 519, 1647, 1291, 610, 3977, 540, 519, 1494, 11230, 10309, 269, 14936, 267, 598, 8894, 1536, 519, 2063, 1291, 540, 519, 1494, 11230, 10309, 547, 519, 6131, 12746, 2666, 8930, 267, 623, 280, 318, 4097, 563, 763, 10896, 543, 700, 7374, 1312, 946, 476, 274, 269, 274, 309, 543, 519, 1455, 2666, 269, 1284, 991, 513, 17626, 10141, 8930, 454, 1721, 519, 700, 7374, 267, 865, 649, 3513, 11737, 337, 3320, 4584, 623, 280, 318, 1724, 267, 799, 568, 519, 10141, 585, 772, 11286, 275, 269, 772, 11286, 272, 454, 19517, 593, 623, 280, 318, 2190, 610, 772, 11286, 273, 593, 623, 280, 318, 2641, 786, 849, 960, 5386, 563, 15563, 267, 649, 991, 513, 13382, 22473, 547, 1852, 519, 10896, 269, 11088, 267, 1022, 786, 798, 267, 855, 594, 4312, 13603, 8930, 623, 280, 318, 1428, 563, 2791, 3513, 991, 513, 19919, 547, 3970, 519, 1699, 547, 519, 10896, 269, 590, 1944, 513, 19919, 568, 3551, 721, 8894, 532, 7937, 332, 781, 4521, 282, 649, 1175, 991, 547, 917, 519, 4464, 6453, 6749, 543, 519, 3193, 1699, 540, 519, 454, 29612, 269, 901, 1344, 568, 1336, 538, 519, 7635, 18694, 269, 1403, 596, 616, 1210, 27910, 29222, 781, 476, 276, 7825, 5682, 454, 29612, 267, 922, 3193, 1699, 568, 476, 736, 332, 288, 543, 814, 513, 4464, 6453, 6749, 540, 476, 273, 269, 273, 309, 269, 0, 288, 645, 595, 667, 661, 674, 717, 670, 594, 808, 918, 700, 631, 715, 744, 623, 1627, 681, 590, 570, 772, 966, 654, 2473, 962, 2098, 454, 24965, 576, 6820, 654, 9879, 1635, 2349, 12177, 6129, 2775, 454, 4263, 513, 10554, 2063, 1032, 593, 2518, 8337, 267, 13747, 28936, 903, 545, 626, 543, 521, 325, 2278, 27068, 5484, 5112, 11329, 856, 602, 519, 1585, 3800, 6069, 547, 3247, 2518, 8337, 786, 711, 798, 519, 2816, 4166, 2614, 563, 3383, 267, 646, 814, 513, 9097, 11556, 910, 1628, 513, 6677, 1511, 674, 637, 6773, 7828, 476, 272, 267, 1822, 12919, 2066, 855, 1152, 513, 1906, 28935, 5394, 267, 543, 1747, 621, 693, 519, 700, 272, 20771, 1448, 1063, 6000, 543, 519, 6129, 269, 901, 1131, 5594, 2569, 519, 2698, 2179, 540, 7943, 547, 2887, 2390, 519, 3047, 543, 3579, 721, 1524, 2614, 547, 15558, 938, 8511, 3154, 2504, 563, 13051, 5112, 781, 22754, 616, 11141, 282, 646, 568, 513, 7548, 540, 11919, 6323, 543, 28936, 12695, 693, 519, 2160, 540, 4993, 267, 543, 814, 1044, 606, 9666, 518, 585, 8331, 267, 519, 4972, 540, 6052, 543, 519, 6519, 5600, 7027, 593, 6611, 8889, 269, 1261, 11099, 602, 519, 1788, 1223, 581, 6192, 609, 1699, 2029, 585, 513, 1942, 540, 827, 1269, 1015, 5479, 909, 4395, 267, 543, 1776, 1269, 1015, 5479, 936, 922, 14438, 563, 763, 7828, 1131, 581, 838, 684, 547, 948, 621, 2226, 922, 3337, 282, 621, 1131, 991, 19876, 619, 1472, 922, 26079, 547, 1832, 621, 689, 1743, 14823, 2476, 543, 8095, 621, 909, 547, 3432, 563, 1607, 568, 711, 519, 1101, 942, 713, 2186, 540, 2856, 814, 1044, 6069, 267, 4352, 538, 1114, 6381, 269, 14880, 595, 269, 22548, 651, 1031, 513, 2147, 2856, 538, 1010, 476, 4198, 274, 3209, 19974, 781, 7736, 950, 621, 2968, 2556, 585, 519, 3683, 331, 3581, 547, 9015, 606, 3003, 2197, 912, 2467, 1185, 849, 1044, 930, 12809, 4187, 547, 519, 3609, 540, 519, 3683, 331, 3581, 269, 15394, 267, 918, 732, 961, 523, 1185, 1044, 2111, 547, 4308, 609, 621, 676, 15603, 1346, 7255, 723, 741, 1378, 1259, 267, 2394, 789, 1185, 4362, 602, 789, 941, 1152, 9292, 1154, 2933, 676, 741, 30671, 547, 1071, 19945, 4733, 269, 8307, 2899, 1185, 646, 3144, 1022, 1463, 2962, 1996, 513, 973, 531, 31842, 7949, 2229, 563, 2690, 811, 982, 513, 4627, 1296, 267, 519, 6243, 540, 3162, 4000, 1185, 1044, 519, 8998, 540, 1514, 1193, 1057, 1862, 1879, 621, 2968, 2312, 602, 1100, 3801, 1131, 581, 1500, 547, 1439, 7130, 267, 918, 732, 961, 523, 5795, 1010, 9963, 269, 898, 8806, 3957, 513, 4266, 543, 942, 5991, 334, 811, 269, 1703, 729, 31536, 542, 267, 855, 2370, 4250, 610, 11784, 267, 585, 1100, 14633, 5156, 602, 519, 3683, 331, 3581, 1131, 1491, 1022, 10795, 610, 16160, 2962, 799, 1131, 4125, 17608, 543, 16944, 7567, 563, 301, 528, 1705, 789, 269, 2353, 602, 5949, 729, 602, 607, 519, 3141, 5293, 519, 5789, 22941, 693, 15729, 16011, 32717, 4682, 856, 269, 1703, 7283, 7298, 8806, 513, 12779, 267, 13711, 15293, 267, 4758, 1100, 3002, 610, 1769, 269, 2368, 6011, 267, 856, 538, 2230, 267, 519, 1769, 540, 519, 3141, 1185, 1044, 8701, 1242, 676, 1079, 18084, 4610, 865, 602, 1100, 5982, 1223, 1780, 269, 634, 1858, 4299, 729, 2947, 4627, 21240, 2066, 267, 543, 9985, 9764, 563, 763, 17431, 16768, 13977, 3764, 269, 898, 729, 6190, 281, 519, 1985, 1554, 519, 6554, 540, 3162, 4000, 9307, 602, 2407, 3540, 2924, 1131, 581, 17468, 547, 519, 3043, 12102, 563, 12648, 513, 1413, 693, 811, 982, 1079, 18797, 3312, 2257, 5708, 2093, 543, 18563, 689, 519, 960, 540, 14880, 595, 269, 22548, 651, 269, 3367, 811, 693, 8330, 549, 30261, 2518, 8337, 563, 9928, 2651, 1524, 585, 811, 2984, 538, 519, 1482, 7121, 269, 630, 1805, 800, 11643, 476, 275, 270, 1015, 270, 1220, 276, 994, 10287, 713, 2186, 540, 3377, 7711, 20007, 334, 767, 4445, 563, 347, 19478, 1923, 681, 7704, 1923, 18248, 898, 1923, 853, 18443, 1923, 1642, 269, 545, 1470, 30994, 1923, 6226, 326, 1923, 23749, 11406, 9767, 899, 547, 3565, 513, 1650, 9133, 888, 7476, 519, 15745, 540, 519, 1650, 267, 543, 519, 1644, 521, 325, 2278, 267, 543, 1039, 454, 4467, 618, 270, 18794, 4901, 630, 476, 2537, 12467, 16665, 5240, 12267, 20620, 22498, 18873, 5019, 9189, 16402, 11985, 700, 6387, 454, 3963, 723, 7953, 952, 789, 1810, 1405, 3802, 1472, 286, 3807, 6998, 563, 22498, 781, 623, 1910, 3832, 17030, 1677, 19045, 589, 3122, 1355, 5487, 31708, 13628, 2336, 262, 2171, 666, 1256, 4492, 519, 2230, 9635, 543, 9553, 519, 589, 3122, 1355, 25028, 585, 4686, 8407, 1862, 7055, 22129, 16661, 1677, 17807, 16661, 454, 262, 2005, 10237, 919, 21286, 538, 513, 13409, 799, 267, 676, 519, 942, 621, 814, 6603, 938, 3296, 540, 2230, 267, 568, 1082, 1769, 344, 8986, 2066, 9538, 910, 623, 9567, 18722, 267, 476, 4198, 274, 563, 6546, 781, 17834, 311, 23966, 256, 6833, 571, 14127, 9370, 17926, 17778, 454, 262, 291, 571, 651, 729, 519, 1762, 8901, 11653, 646, 6964, 547, 31619, 845, 519, 2370, 4224, 9538, 910, 10793, 5261, 5459, 267, 476, 4350, 272, 563, 20007, 334, 767, 4445, 630, 7474, 781, 10509, 5991, 334, 767, 268, 32607, 26695, 529, 13991, 547, 519, 3860, 2257, 18563, 543, 2093, 540, 521, 325, 4589, 269, 6733, 585, 454, 1492, 769, 3685, 21145, 602, 4690, 454, 9767, 267, 519, 3794, 27443, 267, 519, 769, 3685, 454, 20755, 5202, 267, 610, 1294, 1018, 781, 1715, 563, 310, 792, 762, 6052, 4498, 1407, 614, 454, 262, 1862, 646, 1185, 9395, 2989, 519, 9221, 547, 2744, 5021, 23028, 2962, 689, 519, 5163, 540, 7244, 25692, 291, 14772, 12160, 622, 769, 14418, 681, 2572, 454, 262, 1862, 320, 11755, 8868, 2220, 2426, 883, 2070, 543, 3459, 18343, 693, 513, 9663, 1190, 10605, 25692, 2304, 3534, 18518, 3642, 590, 5424, 4149, 784, 23116, 454, 24202, 515, 568, 513, 7209, 268, 24554, 267, 513, 598, 21605, 540, 3301, 8069, 7055, 21581, 2494, 545, 1005, 620, 320, 5576, 1143, 520, 3700, 454, 31415, 515, 1982, 986, 1027, 909, 519, 5496, 835, 11571, 1899, 693, 513, 942, 7055, 262, 8722, 601, 519, 17985, 296, 262, 7046, 9590, 26064, 3767, 7046, 310, 11208, 454, 262, 4517, 616, 782, 519, 1004, 8348, 547, 581, 18170, 676, 513, 3684, 286, 7055, 22498, 18873, 5019, 9189, 16402, 11985, 700, 6387, 454, 3963, 723, 7953, 952, 789, 1810, 1405, 3802, 1472, 888, 307, 5661, 7867, 3220, 821, 589, 7878, 1280, 590, 2752, 454, 262, 1862, 527, 729, 865, 2653, 585, 803, 547, 2611, 5163, 1652, 538, 4571, 1515, 25692, 2690, 1189, 5516, 303, 617, 634, 3642, 16362, 781, 8433 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 276, 269, 1677, 519, 1655, 540, 1250, 1702, 267, 972, 568, 711, 513, 3126, 540, 16550, 7575, 799, 2636, 585, 513, 19898, 538, 4010, 3670, 780, 8170, 1576, 267, 713, 2990, 568, 711, 519, 1439, 22433, 15515, 22433, 269, 594, 1152, 2813, 621, 585, 3879, 13577, 5301, 269, 589, 2990, 609, 19898, 538, 835, 998, 19898, 538, 15823, 949, 2291, 267, 585, 782, 594, 917, 269, 13201, 4896, 1934, 4862, 540, 513, 2147, 1966, 1354, 286, 1403, 865, 267, 798, 596, 723, 1022, 5012, 267, 610, 1732, 2943, 267, 1022, 2093, 540, 707, 1378, 2496, 1892, 594, 6415, 15673, 539, 547, 1289, 713, 4990, 540, 1966, 834, 339, 1195, 532, 609, 707, 18545, 1701, 3967, 476, 1556, 693, 476, 1240, 281, 6021, 692, 8794, 513, 3787, 540, 530, 19123, 787, 547, 6057, 519, 476, 2004, 2173, 913, 4341, 267, 594, 1118, 562, 3160, 476, 29575, 275, 269, 901, 568, 6157, 547, 653, 762, 780, 1103, 713, 2990, 267, 6519, 814, 513, 19898, 538, 835, 693, 1022, 1448, 543, 782, 540, 4563, 781, 7575, 616, 7142, 269, 6519, 814, 476, 3393, 30392, 985, 7575, 543, 476, 1691, 4773, 547, 15093, 269, 634, 4563, 27585, 7001, 8591, 593, 3063, 1847, 269, 901, 2636, 585, 630, 3393, 266, 1691, 12684, 2004, 266, 272, 284, 29575, 273, 7575, 547, 581, 3773, 593, 780, 18606, 314, 293, 2894, 834, 278, 330, 270, 279, 270, 279, 270, 277, 304, 301, 270, 276, 303, 273, 270, 276, 303, 273, 270, 13048, 13048, 13048, 273, 24250, 301, 289, 298, 333, 289, 272, 305, 530, 910, 910, 476, 271, 476, 272, 257, 6540, 272, 269, 918, 343, 324, 272, 454, 32526, 2414, 1039, 593, 519, 2063, 1079, 7575, 267, 519, 3970, 1813, 547, 1614, 19507, 17279, 267, 519, 6519, 4622, 1590, 1847, 909, 1354, 519, 15093, 540, 519, 2034, 6519, 27585, 780, 18606, 314, 293, 2894, 834, 279, 270, 278, 330, 270, 279, 270, 277, 304, 301, 270, 279, 270, 279, 270, 279, 270, 275, 298, 274, 530, 910, 910, 476, 271, 476, 272, 257, 6540, 272, 269, 3223, 273, 10609, 279, 476, 273, 269, 3223, 274, 10609, 278, 476, 274, 269, 3223, 275, 10609, 279, 476, 275, 269, 3223, 276, 10609, 278, 476, 276, 269, 3223, 277, 10609, 279, 476, 277, 269, 918, 325, 278, 10609, 278, 476, 278, 269, 715, 325, 277, 266, 10609, 279, 476, 279, 269, 715, 327, 278, 918, 343, 327, 278, 476, 280, 269, 918, 325, 279, 10609, 279, 476, 1015, 269, 918, 325, 278, 10609, 278, 476, 1556, 269, 918, 325, 279, 10609, 279, 476, 1321, 269, 1627, 326, 278, 16482, 18606, 454, 1892, 4208, 711, 979, 918, 325, 279, 10609, 278, 715, 325, 277, 266, 10609, 279, 715, 327, 278, 918, 343, 327, 278, 918, 325, 278, 10609, 279, 918, 326, 277, 543, 865, 8521, 286, 2107, 4244, 569, 1847, 519, 15596, 1472, 782, 519, 1247, 5329, 554, 277, 6870, 269, 661, 3052, 269, 538, 707, 1899, 476, 280, 269, 1627, 326, 277, 266, 10609, 279, 476, 1015, 269, 304, 325, 277, 266, 10609, 278, 476, 1556, 269, 304, 324, 277, 10609, 279, 543, 865, 8521, 269, 3967, 476, 1556, 693, 476, 1321, 281, 1428, 454, 1892, 7711, 14150, 539, 655, 6153, 2856, 256, 8729, 585, 519, 6454, 269, 4635, 1496, 10472, 2243, 263, 3832, 1087, 14714, 659, 651, 343, 4219, 2593, 270, 638, 5465, 270, 21854, 6434, 270, 2507, 264, 786, 948, 803, 269, 3967, 476, 1556, 693, 476, 1724, 281, 736, 454, 1892, 7711, 305, 1168, 534, 281, 30052, 267, 606, 4244, 4161, 1131, 581, 602, 519, 2990, 568, 513, 1948, 272, 21802, 1966, 630, 21671, 835, 6519, 1847, 547, 30593, 602, 256, 1070, 952, 6519, 3085, 1405, 1118, 602, 1847, 621, 568, 513, 1948, 273, 630, 9016, 1729, 264, 3092, 1421, 855, 596, 917, 1250, 1948, 272, 268, 258, 275, 3801, 689, 519, 4223, 31936, 2690, 636, 19037, 32473, 264, 594, 4898, 952, 513, 264, 621, 666, 581, 2944, 609, 3043, 782, 1790, 668, 10056, 3079, 540, 519, 476, 275, 7575, 540, 513, 3043, 533, 11921, 593, 922, 3355, 2361, 267, 536, 264, 1948, 276, 269, 3967, 476, 1321, 693, 476, 280, 281, 1321, 0, 258, 5153, 8386, 9912, 8827, 692, 7883, 2336, 272, 454, 273, 454, 274, 454, 275, 454, 276, 454, 277, 454, 278, 454, 279, 454, 280, 454, 271, 454, 320, 454, 321, 454, 322, 454, 323, 454, 325, 454, 326, 454, 332, 454, 333, 454, 340, 454, 341, 454, 342, 454, 343, 454, 344, 454, 345, 454, 563, 263, 414, 501, 375, 994, 32504, 8894, 9943, 454, 414, 501, 375, 270, 414, 501, 375, 454, 13045, 383, 371, 454, 273, 692, 324, 454, 11027, 454, 15238, 454, 8421, 454, 8421, 454, 3916, 454, 323, 7933, 343, 454, 291, 343, 454, 347, 414, 501, 375, 2008, 23751, 11417, 283, 454, 285, 23751, 283, 23751, 7562, 454, 6523, 454, 11927, 454, 20799, 454, 5913, 454, 322, 2675, 692, 553, 514, 454, 659, 657, 454, 27979, 454, 659, 582, 454, 848, 322, 454, 659, 2675, 692, 7562, 327, 454, 6523, 327, 454, 11927, 327, 454, 322, 1054, 454, 572, 577, 454, 14369, 577, 692, 553, 514, 327, 454, 659, 9655, 454, 27979, 327, 454, 659, 1054, 454, 848, 577, 454, 30929, 577, 692, 1012, 5153, 8386, 9912, 7778, 692, 19370, 547, 4194, 1384, 7445, 2765, 12757, 317, 274, 21147, 268, 272, 2410, 343, 317, 275, 266, 277, 343, 317, 273, 266, 280, 10592, 9596, 875, 547, 4194, 9971, 1279, 6498, 2042, 1900, 676, 1900, 2228, 780, 7445, 18773, 284, 321, 317, 273, 268, 275, 659, 284, 277, 317, 273, 268, 275, 13375, 263, 272, 9368, 9385, 3847, 263, 280, 9368, 264, 815, 476, 271, 6911, 9596, 875, 547, 4194, 9971, 1279, 6498, 2042, 1900, 676, 1900, 2228, 269, 22217, 1518, 519, 4082, 630, 343, 317, 274, 21147, 268, 272, 19422, 343, 317, 275, 266, 277, 343, 317, 273, 266, 280, 1040, 634, 959, 30796, 1535, 317, 275, 266, 277, 343, 317, 273, 266, 280, 568, 513, 3501, 4009, 959, 30796, 267, 1317, 621, 781, 5806, 5364, 568, 3160, 547, 4642, 269, 4635, 519, 3501, 4009, 959, 30796, 4542, 269, 5517, 1681, 519, 3501, 4009, 959, 30796, 780, 7445, 2765, 12757, 317, 274, 21147, 268, 272, 7346, 3847, 3287, 3867, 273, 15396, 274, 9368, 22722, 273, 3686, 14204, 7445, 2765, 12757, 317, 274, 21147, 268, 272, 2410, 343, 317, 275, 266, 277, 343, 317, 273, 266, 280, 4151, 0, 258, 476, 1428, 17438, 543, 6341, 7204, 692, 297, 28225, 2274, 327, 10458, 692, 7462, 11525, 3809, 692, 288, 5506, 568, 513, 6824, 610, 513, 8167, 540, 782, 519, 2009, 4093, 269, 1924, 621, 779, 519, 1297, 540, 9286, 4093, 9286, 607, 2473, 5258, 676, 519, 2698, 1297, 540, 2009, 4093, 630, 301, 1040, 898, 779, 3622, 4080, 607, 513, 8918, 267, 855, 621, 666, 849, 581, 4080, 607, 513, 6824, 610, 513, 6871, 780, 1432, 568, 519, 1909, 540, 5506, 538, 5095, 267, 5439, 267, 543, 1102, 22460, 7194, 286, 1306, 649, 5941, 1354, 267, 1317, 621, 779, 2356, 7543, 585, 3173, 547, 2721, 1239, 689, 519, 30810, 540, 513, 2551, 267, 789, 2721, 5439, 269, 634, 2450, 540, 519, 3732, 5540, 875, 13380, 519, 3732, 2551, 568, 547, 519, 2489, 2551, 269, 17438, 568, 1031, 547, 3589, 1018, 2186, 540, 5439, 616, 2693, 547, 581, 5833, 689, 513, 2551, 269, 4935, 267, 5506, 20964, 513, 4276, 1063, 5439, 543, 5095, 282, 649, 917, 689, 3168, 693, 519, 2551, 875, 2693, 621, 568, 585, 513, 1808, 3732, 547, 581, 6537, 269, 1284, 849, 946, 17114, 602, 2291, 1369, 5439, 547, 18505, 519, 17831, 602, 2291, 1369, 513, 2551, 269, 5606, 22460, 7194, 7048, 593, 713, 4276, 950, 789, 946, 3732, 1239, 607, 519, 4493, 585, 1818, 8753, 827, 5095, 780, 7462, 15932, 6341, 7204, 692, 305, 24655, 10386, 568, 513, 1184, 676, 799, 3173, 7535, 1927, 513, 3732, 538, 971, 513, 1259, 602, 621, 568, 1034, 2693, 547, 581, 11347, 540, 519, 2551, 607, 513, 2898, 269, 2755, 713, 786, 2760, 581, 7357, 519, 2013, 1107, 2094, 630, 272, 264, 972, 568, 2141, 513, 4960, 602, 513, 3732, 786, 581, 7357, 1114, 689, 519, 2551, 543, 630, 273, 264, 5439, 20244, 2141, 723, 1447, 13260, 982, 519, 2551, 1107, 621, 779, 1434, 2259, 547, 1246, 1978, 4351, 10386, 4170, 1384, 1892, 18763, 4351, 10386, 281, 11525, 3809, 1590, 3251, 3586, 689, 835, 5542, 547, 519, 1985, 952, 811, 982, 835, 1367, 568, 5697, 269, 769, 824, 1913, 267, 8939, 835, 1367, 12582, 1406, 1860, 519, 5506, 540, 1776, 1268, 1373, 5697, 282, 741, 8458, 616, 4830, 540, 835, 1776, 563, 1892, 15932, 10386, 609, 10682, 281, 3962, 1367, 538, 519, 2551, 814, 606, 3160, 4960, 540, 1373, 5697, 267, 2495, 602, 547, 1832, 519, 14009, 540, 519, 5506, 3830, 630, 311, 21610, 264, 519, 1482, 585, 1142, 2721, 267, 519, 1101, 2721, 2115, 547, 581, 8120, 547, 519, 2551, 7535, 780, 7462, 1160, 1636, 687, 538, 22039, 20518, 1903, 692, 3682, 1636, 687, 666, 581, 6719, 538, 4908, 14778, 267, 543, 713, 729, 13713, 20109, 593, 538, 1776, 5816, 2022, 827, 1990, 1606, 13990, 269, 589, 5697, 3296, 540, 513, 4908, 3892, 4564, 513, 8167, 540, 519, 2551, 282, 519, 5697, 1858, 896, 519, 7455, 4564, 513, 8167, 540, 519, 2551, 269, 5221, 3339, 14778, 616, 27101, 543, 519, 1482, 3337, 267, 1175, 21401, 856, 8335, 267, 649, 666, 946, 1990, 1606, 13990, 547, 3044, 1125, 519, 8464, 543, 946, 513, 1770, 3339, 3349, 547, 3313, 1018, 8167, 540, 519, 2551, 568, 593, 2901, 2427, 540, 602, 6060, 269, 634, 1858, 896, 519, 7455, 12777, 3587, 513, 8167, 269, 1284, 849, 917, 602, 538, 513, 3339, 3892, 267, 811, 3665, 8464, 616, 1447, 2693, 547, 2049, 267, 2094, 1034, 8464, 786, 1628, 909, 2282, 519, 1611, 269, 634, 17114, 540, 9832, 540, 8464, 6251, 547, 519, 1611, 616, 3152, 982, 519, 17114, 540, 8464, 538, 519, 9832, 2282, 519, 21217, 540, 519, 3892, 780, 1607, 3184, 729, 8385, 11540, 547, 519, 4569, 8081, 4741, 5816, 693, 519, 2160, 540, 22768, 593, 593, 4873, 476, 277, 267, 476, 1001, 280, 269, 0, 258, 476, 21327, 7818, 630, 15893, 2020, 21327, 267, 7818, 630, 18314, 4627, 28465, 8536, 8370, 4627, 29235, 32732, 264, 568, 606, 1256, 3670, 1673, 580, 1080, 12432, 1297, 1739, 476, 21327, 280, 6507, 543, 18631, 476, 21327, 280, 8064, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 273, 269, 15433, 4281, 6398, 476, 10755, 269, 634, 2040, 540, 922, 9704, 568, 476, 3451, 269, 898, 814, 513, 2698, 540, 476, 276, 6305, 2188, 543, 476, 2190, 2318, 16975, 269, 1703, 616, 476, 6924, 267, 21172, 2318, 9981, 630, 1575, 547, 476, 21327, 7818, 264, 602, 616, 5266, 6305, 547, 476, 21327, 7818, 780, 1012, 9978, 3601, 692, 1892, 1772, 11788, 286, 3143, 454, 1892, 7089, 26027, 4634, 454, 1892, 7089, 3259, 476, 277, 454, 1892, 5681, 540, 6226, 1080, 476, 3451, 454, 1892, 7913, 17848, 476, 277, 692, 1012, 8745, 692, 14112, 2012, 476, 21327, 8536, 476, 7818, 1079, 4627, 28465, 8536, 8370, 4627, 29235, 32732, 692, 1012, 3502, 566, 692, 26199, 10035, 476, 273, 269, 15433, 4281, 6398, 476, 10755, 476, 21327, 269, 7818, 6398, 476, 9818, 692, 1012, 11788, 16748, 1436, 540, 476, 21327, 7818, 692, 28269, 16748, 1436, 476, 273, 6398, 476, 274, 6398, 476, 29580, 6398, 476, 6246, 692, 4467, 22683, 1297, 454, 18850, 3307, 11790, 11192, 11790, 7101, 673, 28911, 3799, 264, 476, 275, 11192, 1297, 540, 3982, 6305, 2188, 3852, 358, 3799, 264, 476, 276, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 278, 4366, 273, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 910, 272, 16849, 519, 26027, 540, 3852, 358, 3799, 1070, 971, 602, 18494, 3799, 264, 815, 11196, 272, 264, 394, 358, 3799, 264, 13179, 3799, 264, 476, 271, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 271, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 21327, 267, 7818, 568, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15693, 17911, 547, 519, 10739, 630, 30538, 1047, 344, 267, 476, 2735, 273, 1916, 5575, 17729, 538, 519, 17623, 8061, 20897, 267, 1728, 321, 16599, 6134, 338, 15151, 6603, 741, 5207, 4763, 1282, 519, 10222, 26226, 543, 30083, 26226, 1141, 789, 25577, 543, 9450, 883, 1585, 8733, 12137, 1127, 267, 8151, 689, 1930, 7286, 547, 18626, 18254, 531, 5054, 630, 324, 3052, 1421, 681, 773, 653, 601, 267, 476, 2735, 272, 282, 667, 4428, 514, 267, 476, 1960, 278, 267, 476, 1001, 271, 282, 667, 4428, 514, 1299, 774, 625, 267, 476, 1960, 278, 282, 1234, 525, 1299, 7201, 6229, 267, 476, 1220, 277, 267, 476, 1220, 279, 282, 918, 29888, 1696, 620, 1421, 476, 1001, 271, 282, 674, 29531, 1696, 620, 1421, 476, 1001, 272, 282, 2274, 340, 4506, 518, 1696, 620, 1421, 476, 1001, 276, 267, 476, 1001, 278, 282, 853, 2794, 325, 1299, 918, 686, 342, 564, 267, 476, 1001, 280, 1040, 1635, 519, 7216, 31350, 17675, 267, 1728, 321, 16599, 6134, 338, 1185, 1831, 3592, 7357, 11658, 547, 8589, 7286, 543, 15741, 880, 1216, 5054, 1354, 789, 6368, 8709, 1639, 693, 519, 1439, 540, 519, 31350, 17675, 630, 298, 686, 342, 564, 1299, 28564, 517, 267, 476, 1220, 275, 282, 595, 684, 344, 267, 476, 1001, 273, 1916, 2026, 585, 1714, 11047, 984, 13361, 338, 538, 2489, 267, 1728, 321, 16599, 6134, 338, 616, 6353, 676, 513, 6024, 267, 1272, 17489, 5694, 10682, 4611, 538, 513, 3638, 8093, 2594, 13856, 676, 9678, 4522, 267, 799, 1683, 15768, 10659, 540, 24466, 3197, 585, 946, 538, 2249, 8446, 543, 9591, 6325, 21904, 630, 324, 3052, 1421, 595, 684, 344, 1696, 620, 1421, 476, 1220, 279, 282, 595, 684, 344, 267, 28533, 514, 1299, 590, 1393, 996, 1941, 267, 476, 1220, 280, 282, 1234, 525, 1299, 7201, 6229, 267, 476, 1220, 279, 282, 7201, 6229, 1299, 595, 3518, 12711, 267, 476, 1001, 271, 282, 918, 2393, 1696, 620, 1421, 476, 1001, 274, 267, 476, 1001, 276, 282, 1234, 525, 1696, 620, 1421, 476, 1001, 274, 282, 2274, 340, 4506, 518, 1696, 620, 1421, 476, 1001, 278, 282, 590, 345, 629, 6759, 1299, 674, 385, 495, 5414, 267, 476, 1708, 271, 1040, 11048, 267, 1454, 10462, 1869, 27788, 519, 12593, 268, 543, 2362, 7400, 8760, 540, 1082, 2249, 267, 799, 8507, 538, 519, 2504, 540, 513, 3126, 540, 1114, 3454, 21978, 543, 9836, 14565, 630, 324, 3052, 1421, 8575, 1047, 344, 267, 476, 2735, 280, 282, 1234, 525, 267, 476, 1220, 279, 282, 595, 1952, 24297, 267, 476, 1001, 273, 1040, 901, 568, 5631, 1317, 938, 1702, 540, 519, 30953, 543, 1062, 18267, 540, 1728, 321, 16599, 6134, 338, 568, 9244, 21678, 2509, 9678, 4522, 2864, 982, 1346, 1336, 2404, 609, 13994, 4327, 610, 771, 691, 545, 4327, 7729, 30416, 267, 799, 6382, 2611, 5393, 4686, 543, 3908, 547, 513, 1906, 2199, 885, 1152, 267, 855, 4122, 4159, 1271, 24466, 2934, 585, 18505, 2590, 29981, 954, 30447, 4721, 630, 324, 3052, 1421, 8575, 1047, 344, 267, 476, 2735, 273, 267, 476, 2735, 274, 267, 476, 2735, 277, 267, 476, 2735, 278, 267, 476, 2735, 280, 282, 8575, 1047, 344, 267, 715, 11336, 1299, 24156, 267, 476, 1220, 275, 282, 28818, 1299, 8575, 1047, 344, 267, 476, 1220, 280, 267, 476, 1001, 273, 282, 853, 2794, 325, 1696, 620, 1421, 476, 1708, 272, 1040, 634, 18106, 2470, 540, 519, 1728, 321, 16599, 6134, 20258, 8093, 2594, 18867, 840, 11079, 4514, 4030, 883, 741, 30953, 543, 1062, 18267, 538, 1082, 2665, 267, 543, 4061, 1022, 1007, 1344, 827, 741, 20258, 19916, 5732, 4679, 938, 1702, 827, 741, 12105, 1686, 543, 8733, 4763, 563, 2080, 267, 649, 4766, 513, 1007, 1728, 321, 16599, 573, 768, 16356, 6438, 669, 1180, 5341, 628, 12505, 267, 667, 1248, 517, 990, 7559, 21402, 12103, 1047, 344, 328, 1024, 269, 1696, 838, 269, 18051, 1421, 689, 519, 16592, 30083, 26226, 13690, 1067, 3805, 22110, 19725, 540, 7013, 4789, 1759, 593, 513, 9864, 22403, 609, 4522, 269, 901, 1007, 3454, 517, 3091, 1271, 4030, 883, 519, 24466, 543, 3454, 21978, 4763, 267, 607, 1134, 607, 519, 14498, 540, 12379, 32223, 1728, 321, 16599, 6134, 338, 543, 11363, 519, 4644, 540, 519, 30083, 26226, 607, 606, 1271, 1974, 538, 519, 12105, 1686, 540, 1728, 321, 16599, 6134, 338, 1354, 789, 14754, 513, 4763, 7771, 543, 7766, 9542, 547, 15741, 880, 543, 15195, 5054, 689, 519, 7216, 31350, 17675, 27477, 563, 300, 1468, 1299, 10613, 454, 1103, 4789, 267, 17623, 30083, 26226, 13719, 12473, 2632, 514, 1581, 7286, 12074, 5219, 547, 519, 13690, 1067, 3805, 22110, 19725, 7693, 856, 693, 1896, 2199, 885, 13988, 2059, 513, 7522, 267, 17335, 1700, 20911, 7678, 532, 14816, 8220, 519, 5032, 338, 540, 667, 832, 564, 543, 31920, 269, 769, 667, 832, 564, 267, 519, 13690, 1067, 3805, 22110, 19725, 5161, 540, 16095, 18429, 543, 5214, 11656, 22495, 730, 695, 2297, 609, 954, 5632, 730, 1929, 16893, 17364, 519, 13690, 1067, 573, 15001, 543, 2038, 570, 603, 20897, 5933, 267, 543, 729, 20024, 896, 9350, 2825, 2175, 609, 5712, 540, 606, 2135, 807, 630, 324, 3052, 1421, 8065, 600, 267, 476, 2735, 278, 267, 476, 1960, 273, 282, 11829, 12251, 267, 476, 1220, 271, 1040, 1452, 15135, 616, 1634, 547, 723, 3812, 513, 2647, 3099, 540, 8093, 30900, 267, 1519, 536, 3415, 543, 7047, 559, 698, 29532, 24991, 630, 324, 3052, 1421, 667, 710, 2917, 1299, 5450, 322, 2788, 267, 476, 1960, 280, 282, 7201, 6229, 267, 476, 1220, 273, 282, 28533, 514, 267, 5983, 344, 1299, 717, 4536, 577, 267, 476, 1001, 274, 282, 7201, 6229, 1299, 1849, 320, 525, 517, 267, 476, 1001, 280, 1070, 2034, 3320, 7286, 20641, 630, 324, 3052, 1421, 645, 21672, 1696, 620, 1421, 476, 1001, 274, 282, 8479, 267, 13082, 1299, 631, 1342, 601, 2023, 267, 476, 1001, 275, 282, 10496, 10849, 1299, 6742, 650, 267, 476, 1708, 271, 264, 543, 4686, 3788, 540, 533, 614, 14795, 543, 17878, 630, 24938, 650, 267, 2423, 1633, 1299, 10878, 880, 267, 476, 1220, 277, 282, 6742, 650, 1299, 18264, 2583, 267, 476, 1001, 274, 282, 744, 24912, 29229, 1299, 6742, 650, 267, 476, 1001, 276, 1916, 763, 8093, 669, 1180, 5341, 628, 12505, 1570, 4330, 23954, 5161, 540, 606, 18106, 267, 771, 691, 545, 4327, 1728, 321, 16599, 6134, 22403, 12873, 593, 513, 28973, 540, 4224, 267, 799, 729, 6394, 676, 835, 540, 721, 630, 10345, 264, 689, 2038, 570, 603, 20897, 15135, 5219, 547, 519, 623, 24514, 520, 2572, 533, 24514, 9850, 16139, 924, 7997, 3015, 2282, 18610, 4248, 17778, 267, 2037, 1260, 2041, 267, 667, 832, 564, 630, 8993, 269, 476, 272, 1040, 634, 19494, 568, 24428, 543, 26940, 538, 519, 7467, 540, 30083, 26226, 13149, 5020, 630, 300, 297, 7876, 264, 540, 13690, 1067, 3805, 538, 667, 832, 564, 267, 799, 729, 3710, 547, 2777, 519, 10715, 4015, 540, 835, 540, 721, 630, 10345, 264, 630, 5408, 3143, 2946, 267, 717, 6759, 1889, 345, 6261, 2946, 30959, 1299, 17880, 565, 3149, 267, 476, 1001, 280, 1070, 543, 729, 13713, 4330, 543, 5219, 547, 4643, 334, 1506, 321, 21402, 533, 2678, 4011, 537, 326, 2380, 529, 1234, 525, 1299, 7201, 6229, 267, 476, 1220, 279, 676, 7201, 6229, 630, 1708, 271, 1070, 1927, 609, 3606, 15013, 24428, 538, 519, 631, 297, 7876, 267, 4171, 2143, 11673, 786, 8774, 2417, 1769, 593, 519, 4763, 540, 13690, 1067, 3805, 22110, 19725, 1728, 321, 16599, 6134, 338, 563, 21900, 21106, 4843, 538, 519, 1257, 941, 5833, 676, 3059, 12550, 268, 543, 2890, 14428, 582, 2762, 1210, 513, 21208, 517, 667, 30019, 271, 667, 20784, 305, 8254, 609, 2901, 606, 19200, 4149, 667, 311, 22078, 298, 298, 3036, 476, 1240, 1700, 9610, 6515, 535, 270, 274, 269, 276, 1700, 276, 269, 277, 717, 11581, 15283, 610, 606, 19200, 4149, 667, 311, 5843, 22078, 298, 298, 3036, 476, 2412, 6515, 535, 270, 273, 269, 279, 294, 7828, 269, 2353, 11147, 941, 21235, 9001, 519, 3301, 10189, 23489, 26598, 16671, 476, 1001, 279, 543, 519, 18913, 5515, 941, 2813, 1210, 23489, 16503, 15249, 16671, 476, 1001, 279, 563, 763, 5907, 4528, 540, 713, 2376, 538, 5800, 762, 11657, 14474, 630, 14457, 264, 786, 2099, 513, 3370, 960, 2687, 547, 519, 4139, 8189, 593, 25672, 1670, 715, 32393, 1155, 630, 2975, 313, 301, 1070, 543, 8754, 519, 1007, 4408, 8659, 538, 519, 5907, 4528, 616, 3927, 3370, 896, 602, 8943, 689, 519, 5907, 7160, 4805, 269, 901, 3370, 960, 543, 519, 562, 32393, 1823, 6411, 621, 3568, 723, 1044, 10805, 538, 25089, 289, 1678, 267, 519, 2228, 14261, 1062, 585, 519, 15096, 313, 301, 269, 634, 25089, 289, 1678, 700, 306, 31312, 630, 16908, 3163, 5772, 13294, 264, 666, 581, 17251, 543, 519, 2404, 1344, 9763, 998, 1022, 3044, 1357, 11422, 676, 813, 2056, 519, 700, 306, 2839, 547, 519, 18772, 5291, 2517, 15605, 984, 1678, 3820, 28918, 634, 700, 306, 2839, 585, 713, 8313, 568, 281, 2712, 333, 281, 3149, 573, 281, 15605, 984, 1678, 3820, 281, 335, 889, 281, 21076, 4200, 289, 7871, 268, 280, 292, 11152, 268, 4510, 13697, 268, 7176, 278, 290, 268, 3633, 290, 12893, 292, 279, 8150, 6434, 269, 634, 2228, 4528, 540, 713, 960, 568, 2895, 1882, 543, 2139, 689, 519, 1739, 3059, 1065, 21627, 1559, 281, 25398, 297, 267, 32253, 6239, 543, 14160, 8016, 298, 7704, 563, 12218, 8863, 2177, 11403, 2975, 295, 8025, 312, 2464, 670, 5060, 2917, 267, 476, 6642, 271, 454, 8138, 5035, 20700, 3008, 300, 15477, 305, 3198, 6224, 2862, 12844, 777, 27525, 267, 476, 8146, 279, 454, 24576, 670, 312, 289, 7495, 2177, 2316, 19489, 300, 2464, 8575, 1047, 344, 267, 476, 3192, 276, 454, 23991, 670, 312, 289, 7495, 2177, 2316, 6395, 292, 32139, 267, 476, 7277, 277, 454, 291, 7838, 301, 2177, 10976, 2752, 8656, 7495, 4785, 1024, 269, 18051, 563, 28536, 2670, 281, 5754, 321, 16599, 6134, 16356, 6438, 669, 1180, 5341, 628, 12505, 602, 568, 6353, 676, 519, 1739, 2189, 4999, 540, 24466, 3197, 281, 5493, 6737, 15153, 3433, 20436, 622, 609, 1970, 543, 4389, 5493, 520, 984, 29569, 1184, 543, 1134, 31465, 2802, 332, 18042, 1148, 7781, 2627, 282, 2725, 1188, 601, 779, 20162, 20436, 622, 543, 2864, 2620, 609, 1134, 31465, 5959, 9240, 913, 14178, 585, 5111, 835, 28451, 922, 3259, 540, 519, 2725, 1188, 601, 779, 20162, 282, 31443, 9076, 520, 558, 663, 24212, 4745, 593, 2725, 1188, 601, 779, 20162, 7986, 543, 1134, 20452, 282, 1148, 7781, 28422, 2643, 639, 593, 2725, 1188, 601, 779, 20162, 26815, 1134, 31465, 543, 13719, 569, 12424, 539, 282, 1728, 558, 663, 24212, 2212, 4646, 883, 606, 18751, 569, 9859, 13622, 6438, 1184, 282, 24725, 1710, 838, 1149, 15022, 3512, 539, 609, 2178, 267, 1875, 1532, 604, 584, 322, 908, 1942, 2801, 282, 1560, 4988, 676, 1395, 16599, 1712, 267, 555, 1941, 6438, 546, 1069, 531, 7202, 2873, 282, 7202, 819, 2882, 1164, 2275, 27547, 1617, 16307, 3671, 4522, 602, 616, 27101, 547, 5594, 12623, 20470, 538, 2978, 1470, 268, 1782, 783, 2070, 18071, 771, 31019, 1395, 1758, 987, 545, 10636, 31788, 1399, 282, 5694, 13862, 9244, 2978, 1470, 268, 1782, 1302, 24609, 539, 282, 1292, 524, 22273, 1164, 543, 9425, 2647, 693, 922, 3490, 1510, 521, 10176, 18042, 9043, 282, 1292, 524, 22273, 1166, 1678, 539, 593, 1142, 2427, 676, 909, 547, 1614, 8424, 540, 1970, 855, 1134, 31465, 14694, 524, 639, 921, 1206, 282, 5969, 8728, 5594, 2978, 6053, 19774, 267, 6024, 267, 543, 8325, 1510, 1583, 5928, 282, 2978, 658, 13862, 3490, 568, 5594, 1651, 2213, 1657, 519, 13862, 268, 10174, 22882, 543, 10169, 22224, 282, 13862, 268, 10174, 22882, 2786, 282, 19388, 783, 543, 2978, 658, 13862, 8188, 15022, 3512, 539, 609, 1360, 2110, 267, 14455, 30679, 6681, 7299, 26642, 13988, 2059, 519, 3490, 1657, 519, 13862, 268, 10174, 22882, 282, 5694, 3597, 7986, 267, 827, 607, 1164, 3284, 4815, 1532, 553, 958, 607, 2620, 2978, 1470, 268, 1782, 1302, 267, 543, 5594, 19388, 1302, 19774, 9944, 519, 5694, 13862, 282, 21828, 3597, 3068, 6366, 609, 13719, 4965, 14178, 2059, 519, 2978, 658, 6316, 282, 19388, 783, 543, 2978, 658, 3597, 3068, 31432, 730, 676, 3875, 1507, 267, 29822, 11231, 585, 600, 2088, 543, 1804, 267, 5781, 11231, 585, 600, 2088, 602, 2049, 13988, 2059, 519, 13279, 282, 24466, 8390, 8429, 17911, 569, 998, 519, 7202, 819, 13315, 30218, 31007, 543, 5786, 540, 9030, 524, 22273, 282, 18751, 4522, 27101, 538, 2978 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 339, 6320, 454, 343, 543, 586, 1590, 1312, 2270, 476, 273, 543, 476, 276, 267, 855, 972, 568, 1152, 835, 476, 276, 538, 476, 5197, 454, 1231, 11211, 692, 296, 1589, 649, 666, 1265, 519, 1871, 540, 2473, 312, 692, 13750, 618, 630, 272, 264, 3081, 476, 273, 543, 476, 276, 616, 1455, 2188, 540, 2473, 543, 962, 9339, 268, 11900, 11211, 454, 13750, 618, 630, 273, 264, 519, 700, 13967, 540, 2473, 543, 962, 568, 476, 5197, 799, 1797, 476, 273, 267, 273, 267, 274, 267, 274, 267, 543, 476, 276, 2188, 540, 2473, 543, 962, 9339, 268, 11900, 11211, 692, 23382, 1456, 1312, 519, 6898, 692, 273, 476, 276, 476, 273, 476, 274, 476, 274, 454, 273, 476, 276, 454, 24801, 8894, 294, 20003, 476, 273, 1535, 476, 276, 815, 476, 1015, 630, 15124, 652, 1379, 540, 1455, 23385, 994, 9448, 300, 476, 273, 1535, 476, 276, 1535, 476, 273, 1535, 476, 274, 1535, 476, 274, 815, 476, 5197, 630, 8867, 770, 1379, 540, 782, 519, 23385, 2020, 763, 1152, 1455, 22136, 1063, 2473, 543, 962, 616, 476, 276, 267, 543, 476, 273, 269, 634, 6967, 22136, 540, 700, 13967, 630, 273, 267, 476, 274, 267, 476, 274, 264, 786, 581, 22136, 540, 2901, 2473, 610, 962, 543, 711, 1312, 267, 1317, 952, 621, 786, 581, 538, 1312, 621, 786, 581, 16611, 547, 1205, 519, 717, 20003, 780, 763, 1297, 538, 713, 2013, 1131, 581, 476, 5197, 265, 1015, 815, 476, 5197, 271, 269, 9747, 595, 568, 519, 2626, 692, 5278, 1434, 9623, 593, 700, 13967, 543, 717, 20003, 5291, 2517, 4178, 4877, 584, 921, 4118, 2593, 270, 7116, 2737, 15828, 9492, 14682, 22396, 21867, 692, 6614, 1695, 907, 9767, 2811, 1318, 907, 332, 1389, 3501, 2631, 454, 3725, 281, 575, 22396, 543, 561, 9492, 1966, 5231, 1496, 258, 21529, 316, 476, 4962, 9947, 476, 1220, 280, 267, 476, 2420, 281, 4375, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 307, 11698, 267, 4873, 476, 274, 267, 476, 1001, 275, 692, 289, 304, 1948, 278, 281, 5149, 966, 281, 14216, 643, 2510, 543, 519, 9351, 9046, 692, 272, 269, 476, 1109, 23737, 538, 1469, 1141, 519, 4542, 585, 519, 3017, 23479, 2501, 689, 1631, 602, 596, 917, 256, 3417, 782, 3617, 16166, 630, 5913, 656, 1899, 267, 17242, 1899, 267, 554, 7933, 12265, 1535, 267, 3092, 6393, 5291, 2517, 30241, 14714, 9109, 1417, 12975, 270, 8364, 3149, 1180, 270, 2742, 11820, 270, 11795, 2397, 5226, 582, 1304, 318, 30502, 270, 8379, 294, 271, 5325, 271, 12282, 22333, 29894, 29894, 7545, 1677, 1265, 938, 12045, 267, 799, 568, 519, 9386, 540, 782, 17242, 3515, 267, 649, 946, 519, 3017, 23479, 269, 1215, 568, 519, 3017, 23479, 6508, 286, 634, 1101, 1448, 568, 630, 343, 267, 325, 3287, 26895, 634, 2034, 1448, 568, 630, 343, 266, 327, 1070, 535, 3287, 266, 327, 1040, 634, 3845, 2066, 568, 554, 269, 1284, 1287, 11690, 621, 883, 938, 9386, 4542, 543, 1205, 630, 325, 3287, 266, 327, 9984, 325, 3287, 8358, 327, 1040, 634, 554, 666, 26118, 856, 950, 649, 14458, 865, 621, 20147, 547, 581, 519, 3017, 23479, 267, 799, 568, 535, 3287, 266, 327, 9984, 325, 3287, 8358, 327, 269, 670, 568, 849, 1634, 607, 18232, 1535, 269, 634, 3017, 23479, 568, 1031, 547, 1265, 519, 2009, 19527, 593, 1022, 3113, 269, 589, 17242, 1899, 18953, 519, 3113, 2899, 269, 2201, 519, 824, 1688, 267, 513, 3813, 656, 1899, 18953, 519, 3113, 7466, 269, 1677, 1265, 519, 9386, 267, 649, 1265, 519, 3970, 607, 554, 4485, 476, 271, 269, 1284, 798, 713, 676, 3274, 726, 19982, 538, 476, 271, 585, 554, 269, 1284, 1287, 1205, 513, 12045, 267, 799, 649, 1287, 666, 946, 547, 1265, 2418, 543, 519, 9386, 563, 5291, 2517, 743, 553, 4732, 320, 269, 1075, 338, 321, 12975, 23995, 3530, 270, 23932, 13478, 1815, 656, 267, 260, 736, 307, 836, 550, 267, 260, 736, 663, 260, 736, 32056, 643, 2510, 21867, 454, 5291, 2517, 743, 553, 4732, 320, 269, 1075, 338, 321, 12975, 23995, 3530, 270, 23932, 13478, 1815, 656, 267, 260, 736, 307, 836, 550, 267, 260, 736, 663, 260, 736, 32056, 643, 2510, 21867, 692, 2080, 568, 606, 3498, 540, 1250, 7778, 780, 306, 1545, 1384, 10674, 2517, 743, 553, 4732, 320, 269, 1075, 338, 321, 12975, 23995, 3530, 270, 23932, 13478, 1815, 656, 267, 260, 736, 307, 836, 550, 267, 260, 736, 663, 260, 736, 32056, 643, 2510, 21867, 454, 10674, 2517, 30241, 14714, 9109, 1417, 12975, 270, 8364, 3149, 1180, 270, 2742, 11820, 270, 11795, 2397, 5226, 582, 1304, 318, 30502, 270, 8379, 294, 271, 5325, 271, 12282, 22333, 692, 306, 1495, 599, 267, 2904, 476, 1240, 267, 476, 1001, 275, 692, 289, 304, 1948, 277, 281, 5149, 772, 692, 272, 269, 1548, 568, 513, 15364, 286, 1548, 568, 513, 19944, 8462, 888, 288, 6024, 1599, 568, 22150, 269, 898, 3568, 1100, 9397, 267, 1100, 26357, 267, 543, 1100, 9475, 269, 898, 666, 581, 6537, 1510, 17666, 513, 15513, 269, 634, 5497, 4463, 543, 519, 4890, 4463, 540, 519, 3113, 616, 3160, 269, 2201, 519, 824, 1688, 267, 513, 19944, 8462, 814, 9397, 267, 26357, 267, 543, 9475, 269, 634, 5497, 4463, 630, 3916, 527, 264, 543, 4890, 4463, 630, 7407, 264, 616, 711, 3160, 547, 1142, 824, 269, 634, 1079, 3885, 540, 19944, 8462, 616, 5110, 762, 543, 1875, 3146, 332, 990, 762, 269, 634, 5110, 762, 19944, 8462, 568, 1448, 19944, 8462, 267, 538, 799, 972, 568, 513, 8559, 269, 634, 1875, 3146, 332, 990, 762, 19944, 340, 885, 616, 1634, 607, 7914, 19944, 8462, 267, 14251, 908, 2623, 267, 543, 12808, 19944, 8462, 269, 634, 7182, 1810, 1405, 2291, 538, 1875, 3146, 332, 990, 762, 19944, 340, 885, 269, 1280, 7914, 19944, 8462, 267, 519, 2451, 543, 1318, 7182, 616, 1114, 267, 3976, 789, 1810, 1405, 2291, 269, 1280, 14251, 908, 2623, 267, 621, 568, 1360, 530, 580, 16744, 267, 865, 513, 3970, 3112, 581, 5462, 1317, 621, 1281, 711, 1935, 513, 1871, 269, 1280, 513, 12808, 29297, 1774, 267, 972, 568, 513, 7299, 29297, 1774, 799, 1797, 30898, 15903, 2623, 780, 3816, 990, 762, 543, 1875, 3146, 332, 990, 762, 19944, 340, 885, 630, 8923, 31799, 1250, 6995, 12962, 267, 594, 1589, 621, 781, 513, 1129, 602, 594, 991, 547, 2759, 1394, 593, 6995, 1862, 2020, 273, 269, 1548, 568, 513, 3970, 286, 1879, 1281, 513, 3970, 2291, 286, 1879, 1281, 513, 3970, 1281, 711, 2291, 286, 1548, 568, 519, 3017, 1063, 513, 3970, 543, 513, 1871, 2496, 288, 3970, 568, 519, 5497, 4463, 540, 513, 1599, 269, 898, 6818, 693, 1448, 19944, 340, 885, 269, 4208, 286, 5221, 7182, 6818, 689, 950, 519, 2451, 543, 1318, 2427, 13292, 267, 543, 2743, 267, 4061, 789, 723, 519, 1482, 5497, 4463, 269, 1323, 4890, 4463, 568, 519, 1871, 267, 1247, 519, 5497, 4463, 568, 621, 3970, 269, 589, 3970, 1281, 711, 2291, 267, 2705, 267, 693, 519, 1614, 1875, 3146, 332, 990, 762, 19944, 340, 885, 269, 634, 1318, 543, 2451, 7182, 5749, 1405, 519, 1482, 269, 769, 606, 14251, 908, 568, 530, 24513, 548, 543, 1281, 711, 3914, 513, 2582, 1871, 267, 4061, 621, 1281, 711, 723, 513, 3970, 269, 1323, 12808, 19944, 8462, 1281, 711, 723, 513, 3970, 1317, 621, 814, 30898, 15903, 2623, 1813, 547, 513, 7299, 29297, 1774, 780, 5291, 2517, 4178, 268, 549, 7315, 4732, 1091, 340, 12975, 270, 349, 329, 332, 1695, 3530, 344, 11305, 12973, 4882, 876, 320, 270, 4118, 13199, 270, 937, 999, 270, 3916, 1080, 318, 4186, 318, 1457, 643, 270, 3916, 1080, 11258, 5606, 9548, 19944, 8462, 282, 30898, 15903, 2623, 1317, 540, 7299, 29297, 1774, 23423, 667, 20911, 454, 5291, 2517, 339, 583, 3645, 269, 4118, 269, 4594, 541, 12975, 270, 12218, 525, 270, 9773, 322, 296, 270, 763, 21918, 527, 269, 5684, 343, 302, 12965, 908, 2623, 282, 1100, 3970, 1317, 1281, 711, 979, 547, 2582, 1871, 21918, 527, 667, 20911, 454, 5291, 2517, 4178, 269, 4118, 3974, 325, 684, 2593, 270, 20412, 639, 270, 3916, 1080, 11258, 30180, 19944, 14280, 267, 7182, 689, 2451, 543, 1318, 1810, 1405, 6474, 700, 8379, 3951, 667, 20911, 692, 274, 269, 1215, 798, 649, 6218, 7182, 6746, 1227, 267, 3113, 1227, 267, 543, 7223, 1227, 2496, 301, 10179, 1227, 692, 2690, 10442, 7182, 6746, 1227, 267, 649, 946, 513, 3349, 269, 634, 1297, 602, 2473, 568, 16042, 538, 519, 1647, 568, 1018, 649, 616, 1210, 547, 1265, 519, 3970, 269, 3689, 267, 649, 991, 547, 10208, 1547, 272, 689, 519, 2016, 1297, 543, 602, 1131, 581, 538, 519, 1101, 1439, 593, 519, 3349, 630, 8218, 940, 1040, 1284, 1039, 1547, 272, 547, 519, 2016, 1297, 547, 1205, 519, 1439, 593, 519, 3349, 630, 18431, 1040, 3973, 267, 10416, 519, 2338, 786, 1205, 4130, 607, 649, 979, 2509, 519, 1647, 269, 17652, 267, 621, 786, 581, 2312, 519, 2338, 1935, 513, 1978, 1871, 602, 786, 581, 938, 3970, 269, 634, 3970, 949, 610, 711, 581, 6603, 4470, 593, 519, 1599, 1498, 780, 20877, 1227, 454, 2414, 1265, 513, 3970, 3113, 1227, 267, 649, 10416, 946, 938, 11263, 547, 1294, 952, 519, 1318, 543, 2451, 2427, 2743, 269, 1403, 789, 1810, 1405, 2743, 267, 519, 3970, 1281, 711, 2291, 269, 12989, 568, 513, 3381, 602, 786, 1397, 1250, 7778, 609, 513, 1483, 3113, 585, 513, 3308, 269, 1261, 849, 6941, 811, 883, 3178, 2439, 31580, 1227, 692, 2414, 1265, 7182, 7223, 1227, 267, 972, 616, 1614, 1114, 2081, 269, 3689, 568, 1463, 18839, 269, 769, 1463, 18839, 267, 596, 11690, 538, 519, 2016, 1297, 543, 1294, 1018, 596, 1205, 269, 1403, 596, 1205, 476, 271, 267, 513, 10230, 2626, 267, 3768, 18249, 630, 3916, 527, 667, 20911, 1070, 1287, 596, 616, 2944, 269, 1403, 596, 1205, 476, 271, 270, 271, 267, 602, 568, 606, 967, 9057, 3729, 1106, 267, 543, 596, 723, 547, 946, 1776, 1505, 256, 634, 1985, 1505, 568, 28809, 1505, 269, 1411, 723, 547, 10416, 3815, 519, 19362, 543, 14009, 269, 2991, 267, 22599, 1455, 2474, 267, 1287, 11690, 538, 519, 2016, 883, 519, 3830, 602, 568, 2451, 269, 634, 1985, 1505, 568, 31669, 1505, 267, 1141, 596, 7787, 1125, 4470, 1141, 519, 9097, 568, 538, 519, 19362, 610, 14009, 269, 1411, 1491, 519, 31669, 540, 1018, 814, 513, 9097, 268, 2901, 538, 519, 19362, 610, 14009, 269, 3973, 596, 9062, 519, 3003, 6824, 676, 519, 31669, 269, 5457, 267, 596, 1616, 547, 2119, 1463, 18839, 1101, 1317, 596, 1810, 1405, 1616, 547, 979, 998, 513, 5458, 31484, 548, 952, 596, 666, 2907, 1205, 606, 2626, 1210, 621, 269, 2334, 568, 1175, 513, 10381, 19943, 1847, 267, 543, 1100, 835, 6499, 547, 581, 1572, 513, 10381, 19943, 1317, 540, 713, 25064, 12161, 2439, 306, 1545, 692, 10674, 2517, 339, 583, 3645, 269, 4118, 269, 4594, 541, 12975, 270, 12218, 525, 270, 9773, 322, 296, 270, 763, 21918, 527, 269, 5684, 343, 454, 10674, 2517, 4178, 269, 4118, 3974, 325, 684, 2593, 270, 20412, 639, 270, 3916, 1080, 11258, 454, 10674, 2517, 4178, 269, 549, 7315, 4732, 1091, 340, 12975, 270, 349, 329, 332, 1695, 3530, 344, 11305, 12973, 4882, 876, 320, 270, 4118, 13199, 270, 937, 999, 270, 3916, 1080, 318, 4186, 318, 1457, 643, 270, 3916, 1080, 11258, 454, 7704, 306, 17142, 692, 306, 12944, 267, 4989, 476, 866, 267, 476, 1001, 275, 692, 289, 304, 1948, 275, 281, 5149, 570, 10417, 476, 274, 692, 3963, 568, 513, 834, 7538, 257, 17242, 3113, 15081, 650, 267, 855, 513, 834, 7538, 257, 28422, 836, 550, 3113, 1524, 24824, 2496, 15368, 1227, 267, 513, 3339, 17242, 3113, 568, 15081, 650, 1317, 621, 568, 1759, 593, 922, 29297, 4925, 269, 1358, 616, 4092, 693, 14039, 270, 273, 543, 476, 274, 7032, 270, 273, 269, 5015, 267, 519, 9076, 1218, 616, 3254, 607, 2318, 267, 2942, 267, 2318, 267, 543, 2942, 630, 22372, 593, 5609, 270, 6523, 1040, 595, 582, 836, 550, 568, 1524, 24824, 1317, 922, 29297, 4925, 616, 4092, 693, 476, 271, 543, 14039, 269, 5221, 540, 1141, 519, 29297, 4925, 616, 4092, 267, 621, 568, 1524, 24824, 269, 634, 9076, 1218, 616, 2318, 267, 2942, 267, 2318, 267, 2942, 269, 634, 29297, 4925, 616, 1141, 20534, 543, 25482, 616, 3160, 547, 476, 271, 630, 14708, 519, 5223, 3768, 18249, 6393, 24058, 540, 19358, 550, 454, 263, 10059, 2517, 4178, 6155, 525, 21573, 2593, 270, 20412, 1807, 2020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 337, 928, 267, 631, 6185, 1421, 8783, 540, 12963, 12884, 10938, 1108, 693, 1684, 1716, 13069, 615, 5753, 779, 11233, 267, 538, 24144, 267, 14822, 563, 2691, 1058, 594, 581, 7255, 827, 4816, 838, 527, 909, 888, 23086, 707, 4816, 779, 4387, 952, 707, 4816, 912, 268, 27355, 1406, 11543, 2597, 563, 268, 1975, 1080, 909, 3196, 2685, 563, 268, 1975, 1080, 909, 3039, 610, 5835, 5714, 563, 268, 1975, 1080, 909, 1973, 610, 513, 1570, 602, 5654, 899, 6995, 12406, 563, 268, 4676, 4926, 3049, 902, 14578, 563, 268, 13201, 1973, 538, 1010, 610, 1200, 22454, 563, 268, 13201, 7411, 7244, 610, 824, 4191, 540, 4576, 563, 3674, 838, 9231, 909, 513, 1129, 540, 936, 16567, 888, 8967, 9231, 909, 1419, 1282, 3049, 902, 666, 581, 513, 1129, 540, 936, 16567, 269, 2368, 838, 527, 5346, 568, 3339, 269, 898, 568, 711, 3339, 585, 707, 4816, 547, 838, 527, 909, 1419, 610, 538, 1804, 5666, 269, 674, 1380, 344, 610, 8886, 762, 2623, 1310, 513, 8023, 949, 1611, 707, 4816, 568, 13943, 689, 513, 2407, 7181, 563, 3963, 568, 1250, 4816, 838, 9231, 909, 865, 1454, 2221, 888, 289, 28320, 5781, 838, 527, 909, 950, 789, 4235, 1932, 1454, 5144, 267, 1932, 3533, 269, 901, 666, 4755, 950, 519, 4816, 20555, 1360, 3728, 267, 610, 950, 3158, 779, 28244, 616, 936, 21459, 269, 634, 2179, 540, 838, 527, 909, 666, 2408, 547, 581, 1454, 811, 982, 621, 2731, 568, 269, 5253, 22740, 8481, 666, 2014, 7050, 838, 9231, 909, 538, 9002, 563, 1692, 1454, 838, 527, 909, 568, 547, 1454, 888, 29995, 267, 621, 779, 1175, 476, 272, 610, 476, 273, 26486, 693, 513, 942, 269, 1403, 707, 4816, 838, 1080, 909, 811, 982, 713, 29932, 952, 1010, 838, 9231, 909, 568, 519, 1198, 540, 7929, 2621, 899, 669, 3183, 267, 23472, 267, 610, 765, 22689, 1765, 2532, 707, 12963, 1014, 952, 972, 568, 513, 2601, 547, 581, 7255, 563, 1432, 1281, 621, 1611, 950, 4816, 838, 527, 909, 568, 2312, 888, 7712, 707, 4816, 18387, 1406, 2943, 4121, 547, 9514, 741, 9224, 610, 11522, 909, 22024, 267, 789, 3580, 581, 24948, 513, 2603, 540, 519, 22024, 267, 799, 1522, 2014, 13481, 269, 901, 22024, 666, 2097, 909, 607, 513, 2312, 610, 31063, 5277, 950, 789, 12154, 527, 269, 1403, 707, 4816, 568, 13481, 543, 814, 8611, 543, 13165, 267, 596, 949, 5469, 602, 519, 12154, 527, 568, 2312, 563, 1692, 798, 594, 917, 952, 1955, 936, 8023, 1250, 4816, 888, 29819, 540, 936, 16567, 454, 268, 17926, 12374, 3328, 610, 3152, 982, 3328, 2597, 563, 268, 20640, 610, 811, 8185, 6632, 562, 1952, 625, 829, 1554, 563, 268, 14627, 550, 1793, 641, 6853, 267, 28067, 23337, 2454, 15108, 20517, 563, 268, 26184, 6366, 18834, 563, 268, 14066, 1517, 4221, 563, 268, 22447, 1036, 4026, 2787, 563, 268, 12619, 19717, 563, 275, 15800, 19628, 6459, 269, 476, 1001, 278, 28314, 563, 1432, 952, 4816, 3085, 1406, 3276, 335, 543, 8813, 18069, 888, 1432, 547, 798, 952, 707, 4816, 3085, 1406, 3276, 335, 269, 1403, 707, 4816, 568, 18069, 267, 2119, 3276, 4771, 873, 585, 513, 8792, 1354, 596, 2482, 873, 1394, 1524, 269, 6884, 9002, 1810, 1406, 991, 547, 3276, 335, 607, 1454, 693, 30148, 1317, 789, 3548, 14887, 543, 1810, 1406, 1205, 607, 1454, 2011, 1247, 8023, 563, 3674, 621, 15528, 585, 4816, 547, 838, 527, 909, 1247, 12008, 888, 300, 2814, 281, 9040, 625, 945, 3207, 593, 741, 19758, 786, 1781, 651, 952, 789, 838, 527, 909, 610, 12154, 527, 1282, 3207, 269, 5517, 281, 9040, 625, 8850, 11522, 909, 610, 15179, 5714, 602, 789, 838, 527, 909, 610, 12154, 527, 22924, 779, 513, 16846, 547, 1832, 519, 21572, 2312, 269, 5525, 1397, 1100, 2333, 538, 519, 1297, 540, 7972, 689, 669, 3183, 1851, 9002, 945, 3207, 593, 741, 19758, 563, 1692, 798, 596, 2995, 952, 4816, 568, 17237, 610, 6499, 4313, 888, 2252, 596, 1265, 4816, 4991, 593, 519, 6089, 610, 11480, 543, 647, 4242, 585, 513, 1906, 3764, 543, 1287, 8813, 18069, 610, 1175, 647, 4242, 855, 3085, 1406, 575, 592, 335, 1524, 519, 1426, 907, 6533, 594, 1131, 4043, 547, 1589, 602, 789, 616, 1175, 8023, 585, 4313, 269, 1403, 789, 616, 17237, 789, 786, 661, 2969, 543, 3548, 621, 782, 269, 13772, 585, 3500, 647, 4242, 543, 2110, 20555, 563, 19675, 594, 3049, 1250, 4816, 1586, 952, 646, 838, 1080, 909, 888, 309, 558, 1746, 543, 838, 527, 5346, 616, 1455, 538, 2635, 9002, 269, 769, 1034, 2665, 267, 596, 666, 5144, 3049, 16172, 1310, 707, 4816, 12154, 1080, 269, 901, 2337, 547, 2061, 707, 4816, 689, 3478, 13204, 3603, 269, 769, 930, 2665, 621, 779, 1655, 547, 7227, 513, 2370, 1247, 1354, 3843, 547, 3049, 707, 4816, 1586, 563, 1692, 1454, 838, 9231, 909, 568, 3339, 585, 513, 4816, 888, 8967, 9231, 909, 2356, 4386, 1318, 1310, 4816, 22655, 267, 855, 621, 949, 849, 2049, 476, 272, 268, 273, 3108, 1310, 513, 8023, 269, 21009, 540, 782, 476, 271, 268, 274, 3923, 2025, 9002, 838, 527, 909, 693, 2547, 2899, 829, 1554, 269, 1975, 9231, 909, 2356, 19589, 693, 476, 273, 268, 275, 3275, 269, 3509, 9002, 856, 326, 992, 838, 9231, 909, 676, 476, 278, 268, 279, 3275, 563, 1432, 4542, 2337, 609, 838, 9231, 909, 888, 8245, 559, 659, 1280, 1975, 527, 268, 10000, 10867, 4542, 814, 1044, 24802, 3254, 547, 2569, 838, 527, 5346, 4908, 538, 2635, 12256, 676, 476, 7918, 10065, 3776, 1875, 8566, 19616, 267, 31334, 2653, 3562, 1673, 580, 652, 4542, 568, 5078, 585, 9002, 609, 26178, 8417, 563, 9989, 838, 527, 909, 1293, 607, 513, 3276, 335, 888, 289, 584, 335, 2659, 17926, 454, 15919, 9002, 838, 527, 909, 1317, 789, 616, 3276, 6244, 269, 12846, 267, 713, 568, 513, 26656, 2268, 269, 1879, 596, 3276, 335, 707, 4816, 267, 596, 616, 4543, 5305, 519, 2011, 15179, 539, 1282, 519, 8023, 269, 0, 1432, 568, 519, 4960, 540, 17005, 513, 29357, 16154, 888, 763, 5506, 540, 17005, 519, 19858, 476, 736, 4458, 4876, 568, 476, 271, 269, 15886, 7176, 273, 547, 519, 476, 736, 267, 8517, 628, 1379, 630, 13078, 13136, 264, 610, 476, 271, 269, 277, 6434, 7597, 10065, 634, 3170, 1275, 2557, 568, 476, 1015, 269, 277, 6434, 271, 269, 476, 24374, 610, 476, 4029, 18336, 1432, 3123, 1034, 29357, 26301, 888, 303, 559, 582, 5470, 1107, 8210, 5558, 1500, 676, 21804, 616, 1851, 519, 1034, 1455, 3123, 540, 29357, 26301, 269, 1703, 616, 1082, 2081, 513, 12681, 666, 2014, 513, 29357, 16154, 269, 21952, 513, 29357, 538, 22247, 2825, 2175, 666, 3362, 1291, 547, 513, 16154, 607, 666, 17528, 547, 5265, 1544, 519, 8184, 563, 1432, 4880, 3249, 29357, 1835, 14414, 888, 763, 4880, 3249, 29357, 799, 1835, 14414, 2282, 2051, 523, 810, 593, 5130, 476, 2641, 267, 838, 684, 1472, 267, 1247, 9561, 4463, 6385, 267, 1354, 621, 3323, 8840, 909, 538, 4571, 25101, 269, 16474, 757, 2663, 621, 1835, 14414, 543, 5734, 519, 2666, 267, 16802, 532, 883, 26428, 267, 11318, 782, 519, 31269, 593, 4604, 563, 1692, 1419, 798, 29357, 570, 2293, 16154, 888, 763, 14603, 8009, 2557, 630, 1492, 1297, 540, 10913, 602, 8507, 538, 835, 610, 811, 28896, 264, 585, 782, 21484, 641, 1562, 538, 519, 2136, 2276, 729, 476, 271, 269, 7761, 829, 476, 1911, 267, 1822, 8184, 3108, 538, 476, 1001, 279, 267, 2687, 547, 519, 772, 2529, 269, 4477, 545, 16239, 8881, 12243, 563, 6701, 6517, 610, 21484, 641, 1562, 10930, 888, 763, 2110, 2626, 568, 602, 14964, 538, 513, 29357, 568, 2484, 1447, 2922, 982, 10760, 593, 513, 5010, 29617, 610, 2921, 606, 2549, 10177, 330, 5721, 267, 855, 3648, 10930, 982, 14964, 538, 513, 1286, 610, 14903, 269, 4340, 547, 519, 772, 2529, 269, 4477, 545, 16239, 8881, 12243, 630, 4785, 295, 4306, 1070, 972, 941, 693, 2547, 476, 7906, 29357, 28896, 538, 476, 1001, 280, 267, 543, 476, 4649, 538, 476, 1001, 279, 563, 1432, 3123, 513, 29357, 547, 18700, 856, 540, 1852, 888, 288, 29357, 949, 8095, 856, 540, 1852, 950, 519, 4550, 2389, 528, 4302, 1062, 568, 8572, 547, 25559, 519, 18165, 1373, 2813, 676, 519, 2599, 269, 1879, 519, 18165, 540, 519, 2599, 568, 3152, 982, 519, 19876, 1373, 3812, 676, 519, 4550, 2389, 528, 4302, 1062, 267, 519, 29357, 786, 2253, 547, 8095, 563, 3963, 1705, 519, 4880, 3249, 29357, 16154, 888, 7343, 6918, 2954, 476, 272, 269, 276, 3108, 883, 519, 8184, 543, 2267, 2358, 693, 476, 278, 1839, 3952, 1657, 2666, 1377, 630, 8980, 299, 1070, 519, 29357, 3323, 547, 8095, 796, 19055, 2406, 1354, 8840, 909, 543, 9561, 4463, 6385, 267, 543, 6368, 1835, 4770, 269, 589, 2022, 268, 1764, 3595, 30192, 27502, 267, 799, 10032, 519, 29357, 563, 1692, 798, 1004, 7639, 513, 29357, 16154, 538, 1216, 888, 5475, 519, 9197, 1662, 630, 2252, 519, 29357, 1835, 14414, 883, 513, 1560, 540, 1216, 267, 789, 1058, 1118, 585, 519, 2627, 543, 1287, 519, 14282, 2244, 21346, 267, 23679, 609, 513, 29404, 3926, 538, 6287, 4700, 2311, 713, 1448, 267, 519, 10569, 547, 6668, 1831, 1426, 267, 1216, 267, 543, 15287, 269, 0, 1432, 568, 519, 6556, 540, 13869, 3282, 829, 20267, 732, 888, 1240, 547, 476, 1789, 11973, 9748, 454, 293, 592, 569, 9921, 3282, 27374, 3132, 476, 1240, 547, 476, 1789, 11973, 9748, 540, 4195, 4829, 536, 31708, 630, 13697, 289, 264, 829, 20267, 732, 269, 634, 6556, 5673, 593, 513, 3099, 540, 2188, 267, 1519, 2085, 267, 6079, 2298, 267, 3037, 543, 20296, 2175, 267, 2298, 540, 24873, 2359, 267, 543, 519, 12905, 16276, 543, 4393, 540, 674, 293, 289, 563, 1432, 568, 519, 15657, 1974, 585, 3282, 13869, 888, 2304, 3282, 13869, 5956, 547, 3132, 476, 274, 610, 476, 275, 1296, 1310, 621, 814, 1044, 12630, 269, 4438, 602, 942, 519, 1332, 518, 1590, 6108, 2724, 543, 960, 2182, 267, 1510, 16276, 1022, 4829, 610, 15980, 1022, 2724, 563, 7617, 2197, 568, 519, 4102, 16073, 540, 13869, 3282, 888, 5715, 2158, 807, 568, 519, 4102, 16073, 540, 13869, 3282, 267, 4553, 676, 17111, 1107, 1312, 2477, 2272, 585, 476, 10019, 260, 540, 519, 10600, 13869, 2504, 563, 1692, 1454, 1281, 621, 1942, 547, 3132, 13869, 3282, 888, 2005, 3790, 12696, 693, 2547, 1269, 4785, 279, 547, 1269, 4785, 1321, 513, 9522, 928, 585, 13995, 267, 543, 972, 616, 824, 9276, 971, 607, 20894, 12375, 267, 17825, 543, 2825, 10526, 267, 3081, 590, 830, 11023, 2421, 267, 519, 7887, 16073, 540, 14468, 267, 4264, 13869, 3282, 630, 5425, 17269, 1916, 1692, 798, 596, 1376, 13869, 3282, 1870, 888, 3721, 338, 547, 1376, 13869, 3282, 1870, 454, 268, 27619, 513, 2244, 610, 1118, 946, 540, 1920, 2244, 563, 268, 4530, 519, 3037, 547, 1294, 952, 621, 568, 1434, 585, 24873, 269, 3502, 782, 3037, 616, 9290, 629, 331, 548, 563, 268, 2142, 1978, 602, 972, 568, 1569, 547, 519, 2244, 547, 1847, 707, 13869, 3132, 563, 268, 7233, 519, 13869, 3529, 563, 268, 27016, 585, 2947, 547, 476, 1015, 1296, 563, 268, 28610, 707, 13869, 3132, 563, 4692, 596, 1118, 2724, 3395, 13869, 4054, 888, 288, 13869, 3529, 568, 14916, 1031, 585, 1082, 5301, 269, 901, 1797, 602, 519, 3529, 814, 1713, 2804, 1871, 267, 799, 666, 14377, 547, 513, 19311, 13869, 3529, 1870, 563, 7617, 2477, 1104, 13869, 3282, 888, 19350, 616, 519, 476, 1428, 2477, 602, 6170, 519, 1034, 593, 16865, 13869, 3282, 1282, 476, 1708, 271, 563, 268, 3127, 281, 2475, 259, 276, 269, 272, 5479, 630, 1428, 269, 272, 260, 540, 2698, 16865, 13869, 3282, 994, 268, 3624, 281, 1269, 275, 269, 272, 5479, 630, 1321, 269, 273, 260, 994, 268, 9031, 281, 1269, 273, 269, 272, 5479, 630, 277, 269, 273, 260, 994, 268, 13814, 281, 1269, 272, 269, 280, 5479, 630, 276, 269, 276, 260, 994, 268, 8050, 281, 1269, 272, 269, 275, 5479, 630, 275, 269, 272, 260, 994, 268, 7977, 281, 1269, 272, 269, 273, 5479, 630, 274, 269, 278, 260, 994, 268, 2136, 2276, 281, 1269, 272, 269, 272, 5479, 630, 274, 269, 273, 260, 994, 1692, 568, 13869, 3282, 19122, 888, 10521, 2010, 540, 3282, 666, 581, 3812, 282, 19020, 13869, 3282, 2501, 689, 17065, 4506, 519, 15123, 1506, 4829, 267, 543, 13869, 17830, 3282, 799, 2501, 689, 11493, 519, 17830, 267, 610, 519, 6149, 538, 519, 1647, 540, 519, 4829, 269, 13813, 13869, 4054, 616, 5065, 547, 4000, 855 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21660, 10528, 4814, 3378, 28821, 8563, 476, 13077, 16648, 3378, 10948, 3264, 15671, 3378, 20413, 3264, 13150, 3522, 29112, 9841, 19628, 13194, 31606, 269, 2843, 498, 3522, 21833, 3264, 30935, 16044, 486, 4138, 4814, 30718, 4138, 9261, 17095, 17201, 9841, 20500, 21134, 476, 16021, 4814, 9261, 4138, 20265, 6459, 13833, 16068, 20265, 10780, 3378, 10948, 7846, 8563, 13150, 8563, 13833, 3522, 20977, 476, 16417, 13194, 24012, 13953, 30935, 10528, 3522, 17153, 16068, 9686, 3264, 7549, 17201, 3378, 20265, 15800, 10780, 21134, 18775, 27569, 4138, 20977, 4736, 9841, 269, 910, 2843, 501, 3522, 9261, 3264, 10948, 3522, 16021, 23783, 21162, 13953, 16068, 9686, 3264, 7549, 17201, 32648, 267, 2843, 497, 16417, 15671, 563, 396, 498, 3522, 267, 17095, 32648, 3264, 10948, 21170, 2507, 11012, 397, 491, 4814, 269, 910, 29112, 9841, 19628, 13194, 31606, 14359, 3264, 23970, 20265, 20977, 267, 17095, 3522, 7549, 269, 2843, 495, 4814, 25974, 4138, 20977, 11714, 13194, 15671, 31124, 9686, 21660, 20413, 3378, 17221, 4344, 18775, 267, 10780, 30324, 21134, 10780, 25974, 9261, 30324, 16417, 20977, 21660, 2843, 497, 16417, 15671, 3522, 2843, 354, 3264, 13953, 20977, 563, 309, 10725, 11707, 585, 8030, 2493, 923, 543, 6384, 476, 1556, 628, 7160, 14420, 7824, 11418, 5547, 2079, 543, 1374, 676, 1810, 12245, 513, 683, 29546, 7824, 288, 889, 514, 645, 269, 476, 1015, 269, 4962, 269, 1708, 272, 693, 476, 6187, 281, 3374, 454, 291, 31034, 29295, 741, 1983, 693, 519, 8868, 1169, 942, 789, 1491, 547, 519, 4155, 10422, 656, 1446, 396, 497, 20686, 333, 681, 269, 476, 1015, 269, 4962, 269, 1708, 272, 693, 476, 1626, 281, 6860, 454, 5522, 919, 2630, 4191, 20618, 741, 5048, 269, 8074, 281, 4014, 634, 23681, 8943, 2982, 1082, 540, 519, 4191, 4122, 538, 946, 267, 513, 3102, 7778, 540, 938, 19142, 1062, 568, 2016, 538, 519, 4972, 781, 27412, 5700, 2659, 29853, 20050, 12282, 5282, 808, 269, 476, 1556, 269, 4962, 269, 1708, 272, 693, 476, 2537, 281, 6078, 454, 2419, 663, 600, 4821, 12139, 538, 7005, 7824, 4647, 6491, 549, 7824, 476, 280, 11815, 529, 19324, 10249, 574, 328, 476, 1691, 269, 4962, 269, 1708, 272, 693, 476, 866, 281, 1724, 454, 5503, 547, 942, 267, 865, 10256, 610, 26348, 945, 5293, 741, 6117, 1449, 513, 1906, 1296, 3516, 991, 547, 634, 29853, 20050, 15015, 267, 3370, 676, 570, 12569, 267, 2488, 2143, 5583, 585, 547, 5815, 6808, 28961, 543, 5581, 519, 10465, 540, 519, 1292, 31566, 3118, 693, 269, 0, 279, 269, 275, 269, 280, 269, 8073, 606, 12354, 872, 17450, 1210, 513, 10783, 3757, 10626, 382, 370, 454, 10376, 540, 519, 717, 9281, 12354, 872, 9479, 2501, 609, 513, 10626, 547, 1711, 606, 12354, 872, 17450, 269, 1306, 540, 19405, 476, 273, 269, 272, 267, 519, 10783, 3757, 20848, 547, 1711, 12354, 872, 8544, 1127, 666, 581, 1031, 998, 717, 9281, 339, 8962, 269, 634, 4137, 2630, 2982, 519, 10624, 2497, 585, 519, 2139, 20848, 563, 763, 3334, 547, 5352, 606, 12354, 872, 17450, 616, 3622, 519, 1482, 267, 7488, 540, 799, 3009, 519, 17450, 568, 6383, 585, 269, 634, 2838, 6119, 616, 912, 1607, 11600, 3268, 998, 2870, 606, 12354, 872, 17450, 267, 4358, 689, 1104, 532, 519, 2556, 1239, 267, 547, 4259, 519, 3681, 267, 543, 4881, 519, 10783, 3757, 10626, 269, 769, 1840, 267, 649, 2491, 519, 1114, 6724, 2838, 585, 519, 12354, 872, 17450, 543, 519, 6383, 3977, 6119, 563, 763, 8261, 338, 585, 519, 12354, 872, 9479, 2491, 519, 2838, 6724, 538, 1469, 585, 519, 1711, 17450, 20848, 543, 786, 1683, 811, 2930, 1344, 982, 568, 3177, 538, 713, 11600, 269, 6423, 519, 717, 9281, 12319, 2985, 547, 1265, 519, 3617, 8261, 563, 763, 1383, 1031, 538, 713, 11600, 3096, 513, 6419, 23197, 5619, 269, 634, 1383, 6119, 543, 2347, 1788, 616, 2139, 585, 4647, 693, 519, 5377, 540, 713, 2985, 563, 14695, 269, 9834, 269, 3607, 269, 1960, 269, 5153, 476, 272, 382, 370, 454, 9359, 717, 9281, 339, 8962, 610, 1930, 606, 2907, 4540, 1788, 269, 5221, 649, 786, 581, 15205, 538, 513, 1906, 6119, 267, 621, 568, 15864, 547, 1305, 519, 2324, 15682, 547, 519, 17835, 1141, 519, 6119, 616, 4092, 543, 5924, 1141, 596, 1131, 899, 547, 5352, 519, 12354, 872, 17450, 563, 763, 1101, 1900, 568, 1287, 547, 1104, 519, 6419, 23197, 5619, 6753, 543, 519, 27177, 3758, 269, 7383, 566, 540, 1239, 786, 5594, 8428, 267, 4470, 593, 519, 3758, 1826, 630, 294, 9281, 3898, 267, 2473, 312, 313, 267, 3092, 1040, 1280, 713, 1383, 267, 519, 6419, 5619, 3758, 568, 11295, 607, 513, 2473, 312, 313, 338, 1247, 519, 27177, 3758, 568, 538, 717, 9281, 3898, 269, 5637, 616, 16865, 1210, 519, 1739, 27487, 912, 2690, 6419, 5619, 6753, 281, 7383, 9890, 4578, 9890, 13804, 7497, 9890, 2473, 312, 313, 454, 2690, 27177, 281, 7383, 9890, 4578, 9890, 5440, 2762, 9890, 476, 274, 291, 717, 9281, 630, 274, 291, 2473, 312, 313, 994, 2690, 519, 6419, 1239, 267, 649, 849, 991, 547, 1305, 519, 31007, 267, 3616, 1588, 267, 543, 2361, 4222, 269, 901, 666, 581, 2944, 998, 519, 1239, 12879, 10624, 563, 5629, 519, 1239, 616, 16041, 267, 717, 9281, 339, 8962, 786, 723, 519, 1079, 3688, 3254, 538, 519, 1788, 3529, 593, 519, 2451, 912, 24591, 519, 1788, 2336, 6642, 269, 279, 269, 14530, 269, 7367, 269, 5153, 476, 273, 382, 370, 454, 4415, 519, 1239, 16865, 267, 649, 666, 1711, 519, 12354, 872, 17450, 10626, 269, 1677, 798, 865, 267, 946, 519, 27487, 543, 3442, 519, 3617, 3009, 269, 1280, 713, 1383, 267, 649, 616, 1210, 13804, 7497, 630, 11520, 292, 2187, 294, 9281, 339, 8962, 786, 5401, 596, 547, 3442, 513, 2324, 15682, 585, 519, 17450, 5137, 269, 17292, 513, 4087, 543, 4945, 7046, 538, 519, 13972, 269, 1411, 786, 1287, 1294, 519, 1711, 17450, 6221, 3773, 547, 519, 717, 9281, 339, 8962, 1788, 3529, 912, 4263, 713, 1448, 267, 519, 1239, 1843, 543, 27177, 723, 711, 1044, 8655, 269, 634, 9623, 8470, 849, 2982, 799, 8747, 616, 4867, 6462, 269, 1306, 1134, 267, 649, 1294, 602, 711, 782, 3601, 616, 1305, 2943, 563, 763, 27487, 585, 519, 1711, 12354, 872, 17450, 20848, 782, 1413, 519, 1482, 269, 4635, 519, 3172, 7497, 1383, 267, 519, 10624, 2636, 596, 547, 1689, 519, 2324, 15682, 267, 1305, 519, 1239, 1843, 267, 12575, 519, 10626, 3681, 267, 2196, 519, 10626, 267, 543, 4452, 519, 3977, 6119, 563, 15675, 5590, 1239, 1843, 689, 519, 10624, 269, 1280, 3172, 7497, 267, 519, 1739, 13972, 5526, 912, 2690, 824, 2409, 267, 596, 786, 1294, 2147, 3866, 9233, 547, 2824, 519, 3617, 1239, 1826, 269, 1280, 1383, 267, 585, 570, 2710, 551, 872, 267, 596, 786, 581, 4280, 547, 2824, 513, 570, 4932, 11907, 1843, 563, 15675, 519, 5551, 1239, 1305, 543, 4945, 15528, 269, 634, 9623, 8470, 786, 9337, 267, 6029, 519, 5697, 1239, 1305, 563, 3086, 946, 519, 10624, 1586, 543, 2824, 22478, 3681, 269, 901, 6770, 909, 519, 1739, 13972, 912, 2690, 930, 20848, 267, 717, 9281, 339, 8962, 786, 2119, 547, 840, 1922, 650, 519, 1257, 10833, 1759, 593, 519, 8655, 1239, 269, 1452, 1058, 2141, 581, 12649, 2336, 16521, 519, 1826, 540, 27177, 281, 1871, 610, 606, 1843, 269, 1403, 513, 1871, 267, 4283, 519, 1871, 538, 519, 1257, 4216, 269, 1403, 606, 1843, 267, 2824, 519, 6221, 689, 519, 6749, 16365, 10624, 610, 19584, 585, 513, 717, 9281, 30149, 3758, 563, 1103, 1840, 267, 585, 713, 10626, 267, 972, 568, 513, 2638, 4216, 547, 3442, 20976, 1493, 27177, 269, 901, 4781, 2636, 596, 547, 1852, 519, 1297, 540, 2281, 602, 616, 1031, 547, 5581, 27177, 538, 519, 14950, 3429, 1591, 3148, 269, 1403, 2451, 31250, 267, 519, 10626, 786, 946, 968, 16591, 27177, 5608, 2495, 519, 27177, 786, 581, 3989, 1360, 8308, 538, 519, 14950, 3429, 3148, 1210, 513, 1804, 1297, 540, 5386, 2281, 269, 1403, 13761, 267, 519, 10626, 786, 16977, 519, 27177, 1210, 513, 4130, 1297, 540, 1071, 32242, 2281, 563, 763, 1985, 851, 568, 547, 1305, 519, 4295, 6724, 585, 519, 17450, 269, 634, 7532, 8700, 267, 5087, 8700, 267, 543, 11098, 4766, 519, 7516, 540, 519, 10545, 2281, 538, 519, 17450, 563, 763, 681, 311, 2281, 1948, 272, 3947, 519, 1297, 540, 10545, 2281, 1472, 1142, 17513, 269, 3973, 681, 311, 2281, 1948, 273, 3947, 519, 1297, 540, 2034, 23337, 718, 652, 2281, 1472, 519, 1305, 540, 10545, 2281, 4330, 676, 681, 311, 2281, 1948, 272, 269, 634, 2034, 23337, 718, 652, 2281, 616, 7466, 607, 2462, 607, 1101, 630, 1721, 1383, 267, 476, 273, 265, 324, 770, 8700, 1040, 7053, 267, 681, 311, 2281, 1948, 274, 3947, 519, 1297, 540, 3791, 23337, 718, 652, 2281, 1472, 519, 17513, 269, 1452, 2281, 616, 2185, 2053, 607, 2462, 607, 519, 10545, 2281, 630, 1721, 1383, 267, 476, 273, 265, 273, 265, 324, 770, 8700, 1040, 1452, 6724, 1450, 596, 547, 1852, 875, 3533, 519, 1591, 7306, 4228, 1472, 519, 17513, 563, 763, 1985, 851, 6257, 519, 3178, 540, 7634, 630, 23077, 296, 264, 585, 519, 4295, 17450, 269, 634, 1101, 1871, 630, 23077, 296, 1948, 272, 264, 568, 519, 3178, 2630, 27177, 602, 1058, 581, 4904, 609, 519, 10545, 2281, 269, 3973, 267, 20396, 1948, 273, 568, 519, 11098, 2630, 20396, 1948, 272, 602, 1058, 581, 4904, 609, 519, 2034, 23337, 718, 652, 2281, 269, 7053, 267, 20396, 1948, 274, 568, 519, 11098, 2630, 20396, 1948, 273, 602, 1058, 581, 4904, 609, 519, 3791, 23337, 718, 652, 2281, 269, 1452, 9936, 1450, 519, 3593, 547, 1852, 875, 3533, 519, 1591, 7306, 4228, 538, 3178, 563, 763, 5377, 851, 540, 519, 13972, 9388, 609, 519, 14950, 3429, 6724, 269, 634, 14950, 3429, 6724, 616, 2016, 538, 7397, 585, 519, 7532, 29891, 267, 5045, 5991, 2180, 267, 5377, 267, 543, 1283, 630, 1515, 264, 8846, 563, 12234, 267, 972, 568, 513, 2638, 7901, 693, 519, 5377, 540, 519, 13972, 267, 4470, 593, 519, 10626, 1031, 269, 1280, 1761, 4610, 267, 519, 2638, 7901, 3947, 519, 4781, 547, 1376, 609, 1507, 2281, 630, 29051, 264, 610, 1376, 609, 1804, 2281, 630, 684, 29051, 1040, 769, 2489, 267, 621, 568, 1732, 547, 1376, 609, 1804, 2281, 543, 1450, 519, 3009, 547, 13217, 519, 17450, 607, 2877, 269, 1403, 13761, 267, 519, 3355, 17450, 786, 581, 609, 519, 10545, 1591, 7306, 267, 799, 666, 1711, 513, 17450, 609, 513, 1360, 1804, 1297, 540, 2281, 543, 3500, 1524, 519, 10626, 19106, 563, 2690, 824, 9479, 899, 661, 274, 291, 543, 570, 2710, 551, 872, 267, 972, 786, 581, 513, 2638, 7901, 547, 6521, 1239, 1657, 771, 4038, 1242, 1283, 334, 269, 901, 5932, 513, 6753, 3758, 609, 5619, 6753, 593, 519, 2627, 540, 519, 3047, 543, 11151, 2666, 2256, 1392, 270, 19517, 1562, 689, 1373, 2630, 519, 3047, 1813, 547, 519, 771, 4038, 1436, 540, 519, 27177, 563, 2690, 519, 1383, 1934, 267, 649, 723, 6192, 519, 13972, 609, 519, 1739, 6724, 912, 5629, 782, 6724, 616, 27358, 267, 4945, 15528, 269, 1403, 2877, 267, 596, 666, 946, 519, 10624, 547, 12575, 3681, 267, 1294, 519, 3403, 6724, 596, 3177, 267, 543, 1689, 873, 952, 5551, 563, 5475, 14467, 15528, 267, 519, 13972, 786, 2673, 543, 519, 9623, 8470, 786, 581, 8242, 865, 1397, 519, 27177, 1031, 269, 2311, 713, 1448, 267, 519, 9623, 8470, 2982, 602, 782, 3601, 723, 1044, 1305, 630, 577, 6548, 689, 513, 2699, 1100, 547, 513, 3109, 9811, 1916, 24591, 519, 1788, 2336, 7277, 269, 10482, 269, 2412, 269, 18684, 269, 5153, 476, 274, 382, 370, 454, 4415, 782, 6724, 1305, 267, 649, 616, 4712, 547, 2196, 519, 10626, 269, 2422, 519, 10624, 1586, 543, 2824, 14840, 10626, 269, 589, 13972, 786, 1402, 909, 547, 1397, 602, 621, 568, 4881, 563, 2691, 2944, 267, 519, 13972, 786, 2673, 543, 952, 782, 4422, 1134, 267, 513, 1007, 13972, 786, 2408, 267, 6031, 519, 10626, 10443, 6707, 269, 8437, 15528, 563, 2414, 1104, 519, 6383, 6119, 267, 946, 519, 10624, 543, 2824, 3367, 3977, 6119, 269, 901, 13907, 519, 6119, 689, 519, 2324, 15682, 883, 717, 9281, 339, 8962, 269, 769, 2489, 267, 972, 616, 2185, 6119, 602, 616, 16865, 883, 717, 9281, 339, 8962, 689, 513, 1711, 12354, 872, 17450, 10626, 912, 24934, 872, 318, 6996, 327, 2433, 519, 6383, 12354, 872, 17450, 630, 6996, 327, 12914, 872, 994, 5562, 318, 3250, 338, 4671, 641, 334, 2433, 606, 8028, 20937, 16347, 6221, 602, 814, 476, 271, 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 ]
[ 540, 7843, 27128, 10263, 593, 14333, 7066, 730, 23839, 4438, 519, 3002, 2126, 1184, 267, 519, 1570, 2356, 25457, 5123, 2890, 7293, 543, 6939, 4919, 2242, 269, 634, 3483, 540, 3002, 8156, 3327, 5374, 568, 547, 1689, 519, 7344, 3601, 540, 5374, 267, 2356, 13811, 1006, 267, 21052, 267, 962, 1752, 4222, 267, 28995, 4222, 543, 1764, 4187, 5861, 1243, 676, 281, 476, 275, 8530, 1501, 5729, 281, 476, 1001, 274, 12041, 281, 966, 14389, 8160, 15843, 1146, 267, 3220, 10422, 14389, 657, 1506, 4223, 515, 9749, 22546, 540, 2368, 14333, 9615, 22948, 593, 519, 634, 5374, 9286, 607, 513, 5420, 3327, 5374, 18585, 630, 288, 3041, 296, 476, 10441, 271, 15426, 8422, 2516, 540, 5439, 723, 5423, 540, 519, 1482, 5374, 267, 1142, 1895, 5161, 540, 1614, 5439, 267, 1142, 3732, 814, 519, 1739, 3337, 543, 7516, 269, 8431, 269, 273, 269, 634, 3337, 540, 519, 3732, 1031, 538, 519, 1353, 269, 910, 28959, 2126, 454, 22546, 540, 14333, 9615, 22948, 593, 519, 20996, 3601, 540, 5420, 3327, 5374, 14333, 2126, 454, 7116, 1881, 676, 3002, 8156, 519, 5420, 3327, 5374, 547, 9290, 513, 1880, 1374, 3483, 269, 570, 839, 850, 15013, 941, 3812, 689, 5420, 3327, 5374, 543, 941, 16271, 547, 1585, 3029, 540, 3002, 2126, 3157, 899, 32319, 2718, 267, 3339, 1944, 267, 2182, 2287, 543, 2191, 532, 269, 634, 20765, 267, 292, 28341, 540, 14333, 9615, 30352, 593, 20996, 3601, 540, 5420, 3327, 5374, 14333, 2126, 3445, 279, 661, 624, 540, 14333, 9615, 30352, 593, 20996, 16544, 540, 23839, 12539, 13082, 3204, 8973, 519, 5420, 3327, 2848, 1564, 9738, 693, 513, 2837, 1063, 8028, 272, 543, 8028, 274, 267, 7542, 1679, 543, 28191, 523, 924, 616, 5833, 1310, 3500, 9023, 267, 676, 2810, 540, 519, 9023, 2557, 267, 519, 28191, 523, 924, 21810, 547, 519, 12004, 839, 924, 543, 519, 7542, 1679, 3788, 538, 519, 2497, 6185, 29924, 9737, 8899, 267, 23839, 1299, 4400, 12539, 13082, 13356, 476, 1691, 267, 476, 1001, 280, 5788, 23848, 543, 21052, 616, 2362, 982, 1970, 3327, 5374, 267, 543, 29010, 543, 32297, 616, 2539, 982, 7646, 5374, 269, 634, 4411, 268, 9776, 610, 4411, 6537, 1570, 666, 581, 2047, 1031, 1510, 3002, 2126, 267, 543, 666, 849, 581, 1031, 1310, 3002, 2126, 269, 634, 5420, 3327, 5374, 1310, 844, 523, 4221, 543, 2191, 532, 814, 1434, 3102, 7344, 3601, 269, 18800, 338, 281, 476, 272, 15307, 13846, 7335, 5384, 281, 476, 274, 25008, 0, 277, 628, 4989, 476, 1001, 278, 634, 2136, 8315, 814, 3731, 1518, 513, 6571, 607, 829, 799, 476, 2767, 4873, 547, 581, 4767, 1169, 1032, 607, 519, 1554, 540, 630, 5960, 10933, 264, 5843, 267, 9540, 543, 23839, 9373, 1440, 2478, 1547, 634, 1554, 729, 476, 272, 560, 4767, 538, 476, 1001, 278, 267, 713, 1032, 7436, 519, 476, 275, 628, 9049, 10933, 4303, 563, 27735, 540, 519, 4303, 454, 5475, 8236, 519, 12655, 4886, 17644, 1305, 676, 2136, 8315, 267, 22749, 2066, 519, 11451, 616, 2838, 547, 1711, 606, 5078, 1604, 585, 5009, 5647, 543, 5876, 269, 1280, 713, 267, 519, 2956, 540, 5843, 267, 9540, 267, 543, 23839, 13355, 9373, 1440, 2478, 2115, 547, 581, 6444, 269, 901, 786, 2417, 948, 538, 8716, 519, 6101, 1436, 543, 2208, 540, 519, 5843, 267, 9540, 543, 23839, 9373, 1440, 2478, 5823, 2066, 1312, 519, 6469, 1377, 543, 3486, 1377, 6990, 269, 3794, 984, 958, 563, 2026, 829, 519, 4139, 7027, 585, 9540, 6355, 1239, 630, 763, 2518, 3760, 538, 1489, 540, 9540, 543, 23839, 13355, 9373, 1440, 2478, 13776, 9049, 10933, 338, 593, 3565, 547, 1158, 4346, 7404, 476, 2004, 2600, 538, 519, 12654, 543, 5352, 476, 3583, 2600, 7694, 538, 606, 6082, 4346, 269, 4107, 540, 519, 7694, 6383, 676, 9049, 10933, 338, 5823, 568, 585, 519, 7925, 9922, 540, 938, 2486, 563, 5960, 10933, 4303, 476, 1708, 271, 454, 4263, 519, 942, 540, 513, 6855, 950, 6634, 540, 1004, 2066, 519, 1158, 723, 4503, 741, 6009, 267, 2101, 5823, 1141, 1004, 4503, 2816, 568, 9049, 10933, 338, 269, 9049, 10933, 338, 5352, 811, 6009, 538, 6917, 1858, 269, 1809, 607, 6082, 2066, 519, 1158, 723, 1044, 25412, 18487, 27579, 267, 519, 1870, 540, 519, 9049, 10933, 338, 5823, 723, 849, 4299, 3648, 563, 1607, 1032, 779, 476, 2767, 4873, 9049, 10933, 1554, 568, 547, 6318, 4656, 543, 7618, 519, 6608, 540, 519, 1271, 1909, 602, 9049, 10933, 338, 723, 5129, 538, 741, 4346, 936, 519, 5756, 543, 1711, 811, 6009, 1727, 1068, 29774, 585, 6107, 563, 2767, 4873, 9049, 10933, 338, 1554, 476, 2767, 4873, 9049, 10933, 338, 1554, 0, 299, 1343, 25597, 568, 519, 1184, 540, 7393, 519, 3308, 9029, 543, 2773, 540, 513, 1808, 31858, 4821, 1599, 269, 901, 1223, 1331, 4376, 689, 4054, 543, 19211, 547, 18736, 6266, 543, 10754, 269, 14924, 25597, 568, 513, 3376, 9135, 602, 2934, 513, 1804, 3099, 540, 2409, 543, 6163, 563, 299, 1343, 25597, 2356, 4016, 547, 1022, 2962, 602, 32290, 519, 2168, 2934, 540, 606, 9205, 1858, 267, 6697, 547, 281, 8380, 538, 19211, 543, 16025, 282, 2679, 513, 3802, 3118, 610, 4946, 606, 7127, 3118, 282, 2699, 30472, 532, 519, 31858, 4821, 609, 2371, 282, 610, 11028, 14808, 1005, 513, 3135, 609, 4540, 2371, 543, 3681, 269, 1306, 1134, 607, 267, 31858, 4821, 16413, 1374, 3544, 2127, 267, 971, 607, 10977, 20115, 267, 838, 553, 267, 10651, 267, 11188, 2583, 267, 1232, 802, 267, 22401, 321, 657, 267, 737, 3930, 802, 267, 1857, 2127, 267, 543, 20808, 851, 1431, 269, 14924, 25597, 568, 513, 4105, 3368, 540, 1142, 31858, 4821, 1374, 4161, 269, 5903, 539, 1934, 616, 476, 276, 1271, 3877, 827, 30120, 912, 2005, 568, 1898, 585, 1142, 31858, 4821, 4056, 547, 581, 9952, 538, 24972, 22450, 269, 23721, 2497, 3340, 1239, 827, 9544, 267, 21906, 2249, 267, 2199, 4365, 267, 3037, 2186, 267, 27177, 267, 543, 10664, 7245, 269, 589, 4282, 538, 24972, 22450, 2337, 9858, 547, 6451, 2030, 2249, 602, 2154, 8766, 1216, 543, 616, 5065, 547, 519, 1858, 269, 3958, 267, 30120, 609, 5065, 2371, 2337, 4336, 1394, 2749, 30832, 331, 267, 799, 8992, 538, 23024, 27624, 2713, 543, 2825, 9637, 563, 288, 23182, 1673, 601, 756, 4733, 30120, 786, 11694, 519, 14996, 775, 543, 10342, 540, 3544, 5624, 269, 14924, 322, 3639, 3442, 2371, 602, 9921, 3533, 267, 5810, 543, 16714, 602, 1020, 609, 856, 13851, 610, 10786, 15969, 267, 543, 2371, 799, 616, 11684, 269, 634, 1753, 26782, 11129, 547, 3442, 2371, 602, 1223, 723, 22376, 1375, 880, 21212, 5810, 543, 16714, 602, 4465, 1406, 581, 12936, 676, 9205, 5210, 543, 12405, 269, 634, 3338, 322, 1653, 786, 2015, 4540, 2030, 1646, 3270, 543, 2825, 6381, 4505, 982, 8939, 1022, 5251, 2371, 563, 288, 15989, 12582, 1406, 581, 2407, 1510, 16025, 269, 19029, 666, 581, 513, 17122, 1377, 610, 513, 1713, 20020, 13461, 593, 519, 7516, 267, 3337, 267, 543, 1826, 269, 15394, 267, 21427, 786, 2030, 19211, 267, 17506, 10118, 267, 15496, 26965, 267, 543, 21823, 269, 11048, 267, 930, 30120, 3549, 3761, 513, 2407, 25819, 540, 26965, 543, 19211, 269, 28968, 693, 891, 3549, 1174, 875, 1454, 2230, 666, 581, 12630, 585, 1169, 3804, 269, 1358, 849, 917, 799, 8677, 540, 16025, 543, 19211, 786, 6574, 6474, 519, 9709, 3898, 267, 3135, 3510, 267, 543, 5551, 1413, 563, 299, 1343, 322, 3639, 1419, 20647, 538, 835, 610, 1079, 30120, 2127, 13380, 547, 1216, 2924, 267, 6360, 2359, 267, 610, 31858, 4821, 1374, 269, 13689, 2390, 519, 2186, 540, 3959, 267, 519, 30120, 1870, 1522, 2027, 1047, 538, 12555, 1949, 267, 15989, 3797, 267, 5397, 1811, 267, 1232, 802, 267, 1273, 3930, 267, 535, 9760, 267, 543, 21906, 1852, 269, 3509, 30120, 4213, 949, 1683, 3549, 971, 607, 3529, 9427, 267, 16013, 2719, 267, 543, 15273, 4221, 269, 14924, 322, 3639, 1419, 4020, 1232, 802, 543, 1039, 1232, 802, 547, 3601, 11262, 676, 9952, 3338, 322, 3639, 269, 769, 930, 6381, 267, 513, 30120, 13055, 949, 3514, 607, 513, 2489, 28079, 267, 799, 14998, 1864, 610, 1200, 547, 1628, 543, 4383, 3785, 593, 513, 6626, 4336, 982, 513, 1753, 26782, 269, 14924, 25597, 3549, 1459, 9952, 1239, 543, 23477, 593, 10821, 543, 4853, 3601, 563, 299, 1343, 25597, 568, 606, 5140, 6073, 547, 2333, 11255, 23029, 1858, 676, 30120, 3802, 1811, 543, 9544, 4054, 543, 19211, 269, 1452, 5251, 2694, 616, 3608, 693, 13302, 3544, 23493, 2230, 3790, 269, 14924, 25597, 3549, 616, 2523, 5363, 547, 1970, 3146, 15467, 543, 21755, 268, 710, 2310, 21427, 945, 616, 3843, 547, 18359, 7482, 585, 519, 2104, 269, 2368, 30120, 10909, 2027, 1047, 538, 5356, 20522, 31858, 4821, 3435, 602, 18359, 21755, 543, 3986, 519, 5920, 540, 3601, 563, 288, 3318, 30120, 3318, 786, 1118, 1142, 4674, 547, 960, 609, 519, 1753, 26782, 547, 3035, 606, 8353, 24312, 24886, 5251, 602, 10742, 1142, 519, 32388, 528, 779, 16551, 543, 519, 13452, 779, 6499, 269, 589, 30120, 14679, 1058, 979, 2476, 519, 1753, 26782, 609, 513, 1259, 540, 12257, 543, 9547, 602, 789, 3580, 1205, 12257, 689, 585, 1296, 547, 2097, 1394, 269, 589, 30120, 5692, 1058, 711, 581, 3144, 1166, 2089, 14688, 269, 898, 3340, 2702, 267, 4058, 267, 543, 16783, 609, 8386, 547, 723, 513, 16268, 1439, 1267, 269, 7102, 30120, 4161, 1058, 1491, 883, 7156, 1082, 2188, 267, 1927, 609, 1018, 568, 27057, 538, 519, 13452, 267, 1699, 30120, 267, 543, 2104, 20327, 563, 2750, 3250, 550, 4388, 4143, 547, 519, 3584, 538, 713, 20171, 267, 596, 666, 899, 281, 0, 5522, 17741, 4016, 547, 1022, 1062, 602, 3560, 338, 15559, 585, 1114, 3252, 538, 513, 1950, 1797, 269, 898, 568, 519, 957, 540, 22151, 1216, 543, 3653, 689, 835, 4087, 547, 1776, 269, 634, 2165, 21818, 4016, 547, 782, 891, 1896, 2010, 540, 21818, 2553, 543, 741, 10380, 269, 1703, 616, 1585, 8677, 540, 21818, 1949, 856, 972, 267, 1519, 3761, 267, 3028, 267, 1683, 543, 3844, 2213, 563, 763, 21818, 2872, 2306, 946, 540, 9867, 3514, 14005, 267, 26892, 543, 17901, 547, 3560, 1216, 543, 21137, 269, 1452, 21818, 26892, 616, 1500, 540, 5374, 267, 5068, 267, 610, 17375, 1570, 267, 543, 519, 1114, 2694, 540, 873, 2874, 540, 971, 1919, 607, 10549, 267, 16060, 267, 25862, 267, 562, 31454, 267, 1303, 823, 267, 10549, 267, 12992, 543, 1082, 1866, 269, 2353, 540, 891, 21818, 7727, 2186, 513, 1455, 4493, 593, 799, 1082, 1114, 2010, 540, 21818, 666, 581, 9112, 269, 898, 568, 3857, 958, 4105, 602, 519, 3044, 540, 21818, 1590, 581, 1434, 538, 1931, 602, 519, 1494, 762, 1216, 786, 711, 581, 13572, 267, 543, 849, 519, 21137, 1062, 3884, 1406, 7745, 676, 682, 1136, 12992, 269, 4517, 711, 1210, 513, 2146, 540, 12992, 267, 519, 21818, 1062, 9327, 1406, 581, 2347, 269, 1452, 27983, 4163, 1216, 689, 519, 8122, 547, 519, 10051, 543, 8602, 7741, 269, 10738, 519, 10051, 267, 972, 779, 513, 5094, 21818, 585, 519, 11067, 6191, 269, 10738, 519, 19880, 267, 972, 779, 513, 5094, 10612, 8220, 519, 23170, 7382, 547, 519, 12775, 1858, 269, 14755, 891, 267, 972, 568, 513, 1899, 540, 8963, 26349, 543, 3653, 7829, 12992, 799, 7962, 625, 3294, 883, 519, 12775, 9015, 269, 898, 779, 1655, 547, 946, 2298, 21818, 7727, 28330, 547, 585, 3022, 4401, 267, 7601, 267, 11956, 267, 543, 26459, 547, 1832, 909, 782, 540, 891, 10398, 532, 543, 14233, 269, 634, 10380, 540, 2413, 917, 24376, 2645, 2147, 547, 5907, 15450, 267, 16546, 267, 4780, 1562, 543, 3059, 15450, 568, 513, 1434, 851, 540, 5140, 21818, 3549, 269, 18548, 577, 267, 1261, 559, 1258, 543, 12231, 25764, 616, 1175, 513, 1906, 540, 519, 5207, 9755, 540, 21818, 2645, 269, 918, 261, 301, 267, 7439, 325, 2716, 630, 19913, 17458, 1070, 6129, 2041, 600, 267, 808, 309, 313, 267, 918, 31348, 10458, 543, 918, 261, 301, 616, 10123, 930, 540, 9247, 519, 1034, 7986, 269, 1452, 3549, 2709, 513, 3376, 2039, 540, 2472, 2147, 547, 29826, 269, 12992, 267, 29636, 269, 31316, 1115, 269, 30079, 269, 10051, 2264, 269, 19880, 8022, 2409, 269, 8670, 13195, 1667, 269, 27445, 1949, 269, 1703, 616, 1585, 3056, 9755, 540, 21818, 3549, 899, 918, 9116, 2401, 267, 595, 1638, 10247, 267, 29615, 601, 267, 7167, 686, 267, 25876, 6390, 267, 623, 13052, 267, 12829, 335, 842, 267, 654, 2664, 267, 543, 865, 8521, 269, 1703, 616, 3875, 9755, 540, 1114, 2010, 540, 5010, 543, 10821, 21818, 3937, 269, 1452, 9755, 1683, 2298, 21818 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2005, 568, 1572, 23202, 821, 476, 276, 476, 13040, 17239, 543, 729, 2813, 676, 5545, 2754, 1744, 17369, 269, 898, 814, 513, 9300, 602, 666, 2268, 689, 476, 271, 269, 4962, 543, 476, 280, 269, 4200, 31442, 773, 3200, 1169, 5662, 538, 519, 5790, 267, 2687, 547, 513, 2754, 538, 519, 10229, 5859, 269, 898, 568, 538, 3210, 547, 4145, 1082, 3885, 602, 6542, 5545, 1310, 519, 30738, 2313, 9874, 6046, 6433, 563, 2005, 729, 11643, 676, 519, 2199, 15146, 11346, 267, 9941, 23810, 269, 4706, 7022, 267, 16549, 599, 25493, 12312, 1767, 602, 585, 519, 1101, 942, 2479, 513, 16335, 666, 2268, 519, 5982, 267, 513, 1907, 602, 729, 5892, 1152, 2009, 609, 18219, 7405, 269, 3767, 267, 596, 666, 3035, 998, 513, 5985, 563, 2005, 568, 2241, 547, 946, 267, 1317, 519, 5905, 540, 513, 6131, 7735, 630, 331, 11343, 593, 519, 5377, 1318, 540, 519, 3926, 264, 949, 5659, 519, 2557, 540, 5982, 267, 1510, 1022, 1702, 593, 2553, 269, 901, 9740, 568, 1500, 2009, 676, 519, 1646, 540, 8596, 602, 2268, 5982, 543, 19918, 1039, 547, 519, 6049, 563, 763, 2164, 616, 3254, 538, 513, 1327, 1807, 4786, 540, 519, 3169, 1858, 1141, 519, 3593, 568, 4092, 543, 2882, 3877, 540, 1018, 519, 3339, 3928, 540, 5982, 585, 6476, 609, 519, 7403, 267, 606, 2460, 602, 786, 4196, 547, 15260, 675, 1082, 1004, 602, 568, 4299, 676, 513, 2009, 6046, 6433, 563, 13295, 267, 1082, 3237, 1745, 811, 17212, 1386, 267, 1317, 789, 666, 2689, 543, 4688, 519, 1239, 538, 519, 4786, 538, 1931, 547, 1852, 519, 2127, 1141, 1453, 5781, 8429, 269, 898, 1058, 581, 7074, 602, 519, 6433, 538, 30738, 2313, 9874, 6046, 2030, 1310, 519, 23329, 538, 4728, 476, 1001, 272, 7142, 519, 27549, 540, 5176, 476, 3199, 267, 1822, 1004, 2713, 2282, 519, 2030, 585, 519, 1164, 5982, 729, 9571, 563, 303, 656, 821, 476, 276, 476, 13040, 17239, 5985, 1568, 609, 15692, 5665, 1062, 568, 28890, 543, 3091, 5905, 5496, 543, 519, 2754, 3081, 621, 786, 581, 5950, 16172, 269, 0, 2304, 6864, 5597, 10805, 1147, 2399, 656, 630, 5408, 519, 6003, 264, 786, 723, 547, 581, 3773, 547, 519, 9848, 874, 657, 622, 3070, 585, 1434, 2164, 269, 9406, 1631, 568, 835, 540, 519, 1655, 2053, 547, 1852, 873, 1317, 789, 616, 3362, 4092, 269, 11408, 1224, 519, 1587, 6003, 585, 8846, 543, 15416, 267, 607, 519, 6003, 568, 519, 1876, 269, 7147, 589, 261, 300, 27259, 6481, 13958, 21216, 12524, 267, 7147, 589, 261, 300, 5441, 540, 3397, 21683, 11857, 543, 5020, 7070, 267, 589, 13958, 21216, 15484, 585, 623, 1180, 12518, 543, 13641, 2801, 267, 22804, 3722, 1948, 9818, 29626, 9351, 543, 11730, 540, 623, 4637, 543, 570, 3471, 269, 15604, 24917, 903, 22976, 568, 513, 21906, 609, 3043, 5810, 602, 1930, 538, 3735, 5162, 610, 2038, 5614, 269, 1403, 596, 991, 6351, 267, 3346, 519, 3397, 1299, 7849, 8249, 8665, 538, 707, 10315, 610, 16926, 513, 3318, 269, 17312, 24917, 903, 22976, 568, 513, 3448, 547, 519, 5065, 543, 1875, 29554, 24917, 903, 3089, 956, 540, 519, 772, 2529, 5919, 2705, 267, 922, 2702, 547, 3362, 3715, 543, 1332, 538, 1082, 2560, 898, 666, 849, 856, 14526, 543, 12094, 856, 5065, 28816, 2249, 269, 2398, 12941, 513, 670, 821, 903, 22976, 1744, 13041, 2398, 2317, 519, 17382, 1063, 4989, 543, 4873, 269, 3509, 6864, 5597, 10805, 10786, 15969, 723, 1216, 946, 9993, 630, 8450, 4937, 4826, 2422, 10163, 2774, 687, 1040, 2290, 1259, 547, 4383, 519, 24917, 903, 22976, 568, 609, 23161, 269, 8836, 1852, 269, 2755, 942, 10438, 267, 20857, 909, 610, 1688, 1790, 1638, 532, 519, 30676, 568, 519, 1655, 4781, 585, 1346, 530, 5109, 547, 2057, 519, 946, 540, 3114, 1852, 269, 5545, 24917, 903, 22976, 267, 799, 729, 5189, 547, 519, 2136, 2276, 538, 476, 5002, 277, 267, 814, 1044, 513, 3226, 16609, 1045, 14575, 2094, 476, 4489, 280, 269, 13852, 781, 24917, 903, 22976, 10525, 4162, 540, 1312, 570, 520, 4115, 543, 5651, 992, 269, 1215, 547, 661, 2784, 6510, 12833, 5297, 670, 821, 903, 22976, 269, 13038, 2409, 616, 1031, 547, 1852, 5545, 24917, 903, 22976, 269, 2142, 10770, 543, 5423, 547, 11179, 1521, 519, 2030, 547, 6368, 30817, 621, 269, 2725, 8600, 547, 21828, 13626, 24917, 903, 22976, 543, 3888, 1129, 720, 267, 609, 6995, 693, 1688, 269, 589, 3130, 267, 3226, 693, 3781, 267, 585, 1896, 2395, 1310, 2126, 949, 948, 1852, 519, 5135, 22930, 269, 5131, 4506, 5162, 5210, 1832, 519, 30676, 538, 2638, 538, 4411, 267, 7187, 16374, 267, 855, 538, 7013, 543, 11068, 13523, 2829, 267, 5883, 24917, 903, 22976, 18047, 568, 513, 2760, 268, 2056, 1966, 269, 634, 11903, 786, 1402, 1394, 909, 1586, 538, 519, 5614, 269, 2334, 568, 519, 15864, 543, 2656, 652, 1259, 547, 3247, 610, 588, 718, 606, 23588, 269, 20996, 1852, 676, 3294, 786, 711, 581, 606, 2500, 9013, 5420, 547, 1804, 24917, 903, 22976, 19211, 269, 24581, 28383, 2014, 4388, 540, 8371, 547, 1106, 1422, 257, 342, 9662, 262, 2156, 1682, 315, 257, 610, 632, 11526, 1000, 12127, 269, 6271, 1505, 547, 4383, 12362, 24917, 903, 22976, 568, 12338, 853, 2794, 9615, 269, 2398, 2317, 1310, 15496, 547, 1832, 24526, 2208, 896, 1852, 269, 3619, 1846, 786, 3548, 1175, 827, 4376, 543, 1590, 581, 29352, 267, 607, 547, 711, 4625, 23542, 880, 513, 7226, 269, 634, 20416, 540, 16246, 24917, 903, 22976, 568, 6793, 950, 2371, 616, 6738, 538, 513, 3636, 5544, 269, 670, 821, 903, 22976, 729, 12630, 8385, 538, 10228, 585, 11761, 1852, 267, 5062, 292, 9774, 1767, 267, 543, 3744, 616, 3843, 547, 19586, 519, 7294, 2243, 540, 1946, 519, 2030, 31136, 865, 8335, 538, 2560, 6744, 6003, 585, 1808, 1216, 946, 9993, 269, 15604, 670, 821, 903, 22976, 269, 15439, 5969, 519, 21906, 1055, 693, 519, 3490, 786, 2014, 30508, 17708, 1154, 543, 2333, 519, 1297, 540, 11710, 269, 9282, 711, 3020, 24917, 903, 3089, 956, 267, 1614, 2249, 538, 519, 12593, 4144, 969, 8759, 616, 849, 1634, 607, 17382, 24917, 903, 3089, 956, 267, 607, 789, 2671, 2147, 4162, 609, 519, 3312, 2030, 269, 7316, 621, 568, 3656, 267, 621, 568, 1869, 1655, 547, 2057, 621, 269, 634, 8768, 7990, 540, 24917, 903, 22976, 2242, 5594, 2899, 3542, 3990, 269, 5545, 24917, 903, 22976, 3762, 616, 5094, 267, 3395, 6587, 689, 1142, 824, 593, 519, 6565, 543, 616, 4158, 3039, 782, 936, 269, 1358, 616, 1031, 609, 10479, 269, 29725, 6883, 24917, 903, 3089, 956, 630, 299, 4577, 5028, 264, 616, 513, 5929, 6172, 1499, 585, 513, 11509, 32119, 4677, 269, 18421, 596, 991, 547, 917, 827, 7446, 519, 1318, 16246, 24917, 903, 22976, 585, 596, 269, 6513, 269, 1323, 6864, 5597, 10805, 1147, 2399, 656, 630, 5408, 519, 6003, 264, 786, 2087, 519, 7145, 540, 28886, 331, 4878, 337, 269, 670, 821, 903, 22976, 666, 581, 15504, 543, 519, 11903, 13009, 6569, 267, 855, 2168, 1852, 568, 2352, 1317, 621, 666, 556, 10140, 28344, 689, 6967, 2030, 15998, 269, 14190, 873, 547, 1365, 709, 339, 267, 543, 1287, 10936, 519, 28667, 609, 513, 476, 276, 2600, 3070, 540, 9848, 874, 657, 622, 269, 769, 17996, 267, 17906, 543, 3162, 10491, 621, 568, 7396, 607, 513, 4049, 12362, 3463, 269, 700, 641, 11825, 960, 1390, 585, 4130, 3283, 269, 769, 1082, 2665, 267, 2436, 610, 711, 513, 2030, 568, 513, 18290, 568, 538, 519, 3750, 540, 519, 1531, 27212, 267, 855, 5545, 24917, 903, 22976, 568, 2141, 2808, 513, 18290, 267, 2523, 538, 7646, 16374, 269, 670, 821, 903, 22976, 12093, 4386, 689, 1312, 17708, 1154, 543, 5452, 269, 6513, 585, 1762, 2549, 584, 670, 821, 903, 22976, 19029, 320, 31958, 8479, 1094, 31958, 602, 616, 1152, 476, 274, 12664, 7381, 630, 272, 544, 264, 610, 1447, 666, 581, 15504, 856, 540, 519, 2666, 952, 519, 3037, 568, 5848, 269, 6513, 670, 821, 903, 22976, 2755, 4635, 898, 547, 2659, 5484, 24674, 670, 821, 903, 22976, 666, 581, 12362, 543, 16765, 820, 5065, 2371, 267, 855, 596, 666, 948, 1852, 5095, 540, 519, 21906, 609, 891, 18789, 3785, 269, 2552, 13764, 670, 821, 903, 22976, 630, 514, 15230, 543, 875, 547, 1852, 17382, 543, 11903, 264, 2368, 24917, 903, 22976, 2010, 267, 1312, 17382, 543, 642, 1456, 267, 616, 7396, 607, 12362, 2249, 538, 1082, 2127, 269, 769, 21086, 267, 12590, 267, 1715, 24900, 543, 28599, 267, 5545, 24917, 903, 22976, 568, 2808, 513, 1100, 343, 1190, 18290, 269, 670, 821, 903, 22976, 5871, 10819, 269, 2290, 8594, 609, 1022, 3114, 1852, 1505, 568, 519, 4960, 540, 606, 5135, 22930, 1310, 519, 2126, 3361, 676, 519, 17883, 540, 519, 4666, 2030, 1570, 269, 670, 821, 903, 22976, 666, 581, 6738, 689, 519, 5452, 267, 2759, 15998, 540, 519, 5072, 267, 543, 2759, 15998, 540, 519, 2571, 3574, 269, 634, 8768, 267, 6079, 267, 15708, 267, 543, 3762, 616, 1031, 585, 4915, 269, 1677, 2061, 713, 3390, 267, 1118, 2386, 547, 2322, 1022, 1726, 961, 529, 267, 818, 4011, 610, 1776, 1489, 1062, 596, 6999, 547, 946, 1354, 596, 1256, 2030, 707, 670, 821, 903, 22976, 11903, 269, 898, 513, 1434, 5230, 32566, 28599, 267, 5545, 24917, 903, 22976, 267, 855, 814, 2620, 2699, 15496, 18742, 5580, 609, 256, 28100, 519, 1604, 585, 9427, 12362, 24917, 903, 22976, 856, 14526, 543, 12094, 856, 5065, 28816, 2249, 9013, 256, 21690, 9329, 25361, 519, 2011, 538, 4571, 268, 547, 3735, 4832, 607, 649, 1472, 1862, 9701, 1152, 581, 1031, 607, 513, 21963, 610, 21906, 855, 568, 1034, 4122, 6738, 513, 1862, 2201, 12202, 917, 875, 281, 1832, 909, 547, 4266, 609, 782, 602, 1412, 338, 8345, 538, 1472, 269, 1772, 1336, 538, 1082, 540, 938, 7733, 543, 2059, 4155, 1811, 1896, 2500, 2409, 585, 9427, 12362, 24917, 903, 22976, 2371, 1519, 269, 12305, 1129, 720, 267, 609, 6995, 693, 1688, 24917, 903, 22976, 585, 596, 281, 519, 4718, 256, 634, 5452, 267, 2759, 15998, 540, 519, 1152, 896, 32143, 19211, 602, 616, 26070, 10538, 4190, 6653, 569, 256, 1656, 2059, 4155, 1811, 11908, 543, 513, 7121, 476, 272, 12362, 2030, 538, 8419, 6864, 5597, 10805, 1147, 2399, 656, 630, 1294, 4937, 1216, 9993, 256, 670, 821, 903, 22976, 267, 855, 2168, 1852, 568, 2352, 1317, 621, 666, 556, 10140, 28344, 689, 6967, 2030, 15998, 610, 269, 2637, 639, 700, 4577, 5028, 543, 1920, 7167, 17287, 16288, 576, 2801, 1521, 519, 2030, 547, 6368, 30817, 621, 513, 610, 269, 5545, 24917, 903, 3089, 956, 723, 17860, 11710, 547, 4336, 6902, 10936, 609, 5521, 20141, 12853, 610, 24972, 12734, 3282, 3787, 513, 1862, 11153, 2395, 1310, 9615, 949, 948, 1852, 519, 5135, 22930, 6712, 609, 513, 476, 276, 3070, 269, 4414, 323, 880, 10538, 610, 24972, 12734, 3282, 30676, 607, 2673, 547, 519, 12593, 700, 4577, 5028, 543, 1920, 7167, 17287, 16288, 576, 2801, 2653, 1862, 1975, 2001, 5402, 593, 513, 9350, 1554, 1317, 875, 547, 1852, 24917, 903, 22976, 10936, 786, 6146, 1022, 2030, 621, 23511, 8745, 540, 519, 1655, 4781, 585, 1346, 530, 5109, 547, 2057, 519, 946, 540, 3114, 1852, 13404, 568, 476, 6078, 256, 589, 24917, 903, 22976, 2030, 568, 26862, 476, 277, 547, 476, 1321, 6279, 2476, 689, 519, 16678, 2249, 543, 2553, 585, 24917, 903, 22976, 18290, 538, 256, 634, 5072, 676, 1688, 568, 711, 606, 2500, 1259, 547, 1852, 24917, 903, 22976, 267, 2168, 256, 645, 3757, 2583, 547, 1106, 1422, 15234, 26734, 1412, 2156, 1682, 315, 15234, 610, 632, 11526, 1000, 12127, 1472, 829, 326, 15614, 543, 740, 528, 940, 6821, 789, 1862, 1937, 787, 827, 4758, 621, 513, 1434, 5230, 32566, 1310, 9615, 949, 948, 1852, 519, 5135, 22930, 814, 2620, 15496, 1862, 670, 821, 903, 3089, 956, 616, 16246, 30676, 4988, 609, 4190, 267, 6653, 569, 1085, 5034, 5810, 538, 23511, 3657, 26070, 10538, 1896, 2395, 1310, 9615, 949, 948, 1852, 519, 5135, 22930, 538, 8419, 19155, 267, 5969, 10786, 8336, 1862, 1703, 616, 1896, 1114, 2409, 540, 1852, 585, 519, 17382, 24917, 903, 3089, 956, 27280, 519, 1862, 634, 7145, 540, 28886, 331, 4878, 337, 519, 24917, 903, 22976, 568, 513, 9157, 2030, 543, 519, 13009, 269, 623, 4637, 543, 570, 3471, 267, 590, 12112, 16433, 24917, 903, 22976, 568, 4857, 676, 741, 11909, 547, 2699, 5810, 616, 930, 16701, 1709, 281, 256, 589, 11509, 32119, 4677, 2030, 621, 18953, 9329, 25361, 519, 2011, 538, 4571, 268, 547, 3735, 607, 1862, 1809, 616, 711, 3908 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 763, 1603, 1184, 540, 7041, 267, 1603, 267, 543, 26941, 10039, 547, 1169, 1557, 610, 1957, 267, 855, 519, 942, 543, 4674, 6170, 593, 1142, 3942, 5673, 593, 519, 1826, 540, 1557, 563, 2304, 4081, 1557, 568, 513, 5059, 4062, 540, 1603, 602, 10953, 606, 2856, 610, 4661, 1210, 2963, 267, 2079, 543, 7664, 563, 2690, 713, 2601, 267, 621, 666, 581, 5363, 547, 18082, 519, 2175, 540, 513, 31764, 981, 1354, 519, 4890, 1554, 281, 4584, 513, 2259, 2243, 267, 1265, 930, 20898, 1957, 267, 1305, 513, 3247, 31296, 267, 543, 1294, 875, 596, 798, 2336, 2467, 616, 1082, 2010, 540, 3594, 596, 1522, 2328, 607, 513, 2875, 269, 634, 1543, 543, 3259, 540, 606, 1557, 5673, 593, 707, 1377, 267, 1641, 540, 1353, 267, 543, 1576, 4170, 269, 1717, 267, 1034, 3594, 693, 6280, 1377, 616, 12819, 281, 789, 2832, 547, 22321, 519, 5467, 540, 513, 1880, 2990, 610, 5133, 593, 513, 1888, 269, 0, 291, 1619, 5420, 9668, 568, 513, 7347, 1184, 602, 666, 581, 5342, 693, 9325, 7306, 607, 21432, 607, 476, 4968, 6515, 543, 607, 5386, 607, 476, 4335, 18725, 332, 609, 1164, 9668, 4398, 267, 4470, 593, 19802, 4162, 540, 519, 1871, 6886, 269, 634, 667, 5960, 1184, 3322, 1614, 3268, 281, 3049, 7041, 267, 10053, 5420, 9668, 267, 543, 7542, 9317, 1759, 2923, 6051, 563, 1103, 513, 667, 1619, 9012, 9484, 9653, 1315, 24581, 9012, 9484, 9653, 2030, 267, 32314, 7542, 4592, 559, 6625, 568, 17735, 538, 1216, 547, 1106, 513, 5714, 2282, 519, 5860, 540, 14776, 2073, 547, 799, 519, 14776, 12946, 1570, 568, 3773, 547, 2253, 519, 9668, 1184, 540, 519, 18219, 6886, 689, 519, 14402, 1570, 563, 3891, 8283, 5277, 4255, 666, 581, 1031, 547, 6218, 1022, 7626, 267, 543, 5916, 609, 7305, 476, 1556, 269, 274, 666, 581, 1031, 547, 5815, 519, 1826, 540, 3021, 1807, 602, 1223, 1198, 519, 9668, 538, 2259, 1547, 7305, 476, 1556, 269, 274, 1547, 32322, 9484, 9653, 6713, 3493, 1742, 593, 2549, 870, 540, 14033, 25670, 7698, 454, 297, 580, 3101, 808, 580, 3101, 568, 513, 8904, 5834, 4480, 1141, 519, 4401, 7626, 568, 9674, 883, 1769, 5860, 6824, 267, 5420, 5860, 6824, 543, 5230, 5860, 6824, 269, 12025, 6824, 540, 519, 4401, 7626, 1031, 585, 795, 580, 3101, 568, 476, 271, 269, 276, 6515, 547, 476, 1789, 7825, 269, 9454, 1023, 9454, 531, 3492, 21116, 616, 13576, 4670, 9668, 3457, 563, 763, 1292, 5413, 540, 519, 3818, 3942, 3021, 1807, 568, 519, 2702, 547, 3132, 2789, 16173, 2472, 1369, 513, 2582, 1770, 663, 519, 2702, 547, 4368, 519, 5860, 2759, 2798, 538, 1142, 1367, 3942, 269, 744, 637, 602, 2270, 2789, 6886, 609, 1507, 5860, 3604, 581, 11593, 666, 4061, 29323, 730, 538, 513, 2582, 3818, 3942, 1770, 563, 763, 4469, 334, 622, 343, 25670, 9484, 541, 1807, 568, 513, 751, 2678, 5127, 3021, 1807, 267, 1210, 606, 772, 6717, 4480, 602, 814, 519, 1761, 547, 22010, 2539, 3446, 4401, 7626, 22717, 543, 568, 513, 3730, 4480, 585, 18349, 540, 10036, 5674, 543, 5924, 3623, 6510, 6886, 269, 0, 22832, 23885, 2899, 6376, 539, 602, 1185, 621, 711, 1044, 585, 23741, 267, 646, 1131, 711, 723, 1185, 519, 4030, 646, 1185, 538, 519, 960, 540, 2870, 513, 1007, 543, 11180, 4182, 563, 26212, 547, 519, 6406, 2782, 267, 1494, 729, 513, 1360, 3811, 3075, 950, 1031, 547, 10826, 20026, 543, 791, 582, 775, 269, 898, 729, 1031, 5097, 547, 2569, 8082, 563, 24730, 6115, 267, 6276, 23885, 267, 543, 7338, 16962, 782, 16916, 18290, 593, 741, 24914, 269, 6723, 6115, 568, 1767, 547, 723, 9053, 513, 1434, 10612, 995, 540, 519, 968, 548, 2314, 540, 23741, 892, 547, 1022, 23931, 4235, 563, 22832, 3933, 19172, 267, 17082, 540, 519, 3933, 19172, 1684, 551, 9068, 267, 28655, 1312, 6371, 543, 19474, 880, 269, 23885, 4547, 1394, 519, 4356, 540, 7296, 19474, 880, 689, 5333, 543, 4797, 7296, 11489, 646, 729, 476, 10463, 563, 24171, 16962, 543, 6723, 6115, 1419, 5330, 539, 827, 519, 21644, 540, 7296, 23741, 543, 616, 1767, 547, 723, 21775, 1612, 26118, 540, 621, 607, 17267, 540, 11505, 563, 300, 15097, 7296, 568, 3833, 2442, 538, 519, 772, 2529, 269, 2221, 267, 855, 1906, 1004, 8275, 602, 6371, 729, 2899, 865, 2442, 538, 519, 2197, 602, 476, 278, 772, 2529, 269, 27504, 1031, 621, 563, 2171, 539, 729, 1455, 1851, 10269, 25210, 267, 585, 950, 621, 729, 6404, 609, 10269, 267, 621, 5795, 513, 7646, 883, 13877, 908, 1198, 269, 634, 3762, 543, 759, 1231, 630, 327, 1662, 880, 264, 941, 1031, 547, 4005, 1426, 543, 607, 4915, 563, 7804, 269, 8738, 651, 267, 7022, 540, 519, 1977, 8466, 13129, 5980, 543, 22639, 585, 519, 28834, 4659, 267, 3769, 519, 1739, 772, 269, 590, 269, 27504, 607, 17089, 3755, 912, 290, 27767, 529, 729, 711, 4922, 1031, 9903, 14260, 538, 519, 2136, 2276, 2394, 519, 476, 736, 555, 2540, 267, 855, 538, 519, 476, 5197, 271, 338, 621, 729, 1031, 607, 513, 4915, 269, 769, 519, 476, 8146, 271, 338, 267, 606, 9721, 4387, 538, 3127, 1336, 602, 15267, 21555, 630, 2254, 519, 28655, 2186, 264, 1223, 24390, 519, 15265, 13481, 540, 1004, 7092, 689, 519, 1419, 14603, 2068, 26601, 5028, 269, 3571, 6602, 3262, 267, 543, 676, 519, 3735, 476, 5197, 271, 338, 267, 15267, 21555, 941, 4122, 4421, 676, 1977, 546, 745, 1375, 1235, 630, 874, 29108, 1235, 264, 585, 22074, 267, 1519, 7181, 2042, 563, 8794, 15267, 21555, 547, 1521, 9667, 2589, 2306, 930, 2631, 267, 23963, 269, 1284, 1631, 917, 602, 29437, 568, 2111, 547, 24390, 15353, 267, 607, 1134, 607, 3895, 14000, 267, 676, 15025, 609, 2127, 540, 519, 2634, 602, 10038, 1346, 3252, 267, 899, 519, 2634, 980, 543, 20968, 31726, 269, 4653, 267, 1079, 15111, 268, 9516, 29437, 2861, 5061, 3144, 607, 21447, 616, 11311, 547, 1521, 519, 15353, 3361, 676, 2860, 18068, 543, 519, 2530, 540, 14031, 602, 3123, 968, 342, 8463, 6794, 892, 538, 15978, 2550, 563, 1607, 729, 1869, 1354, 2413, 4915, 267, 950, 6266, 540, 16909, 2472, 630, 663, 1256, 3662, 2472, 899, 3282, 1500, 689, 678, 25114, 333, 1389, 264, 941, 4421, 607, 968, 322, 999, 892, 585, 1169, 2068, 896, 519, 3141, 269, 1452, 2472, 941, 2356, 23696, 267, 12212, 5739, 267, 543, 4749, 630, 553, 609, 15267, 543, 1566, 1756, 21555, 264, 1256, 26884, 563, 3719, 476, 866, 555, 910, 1417, 1722, 7189, 543, 546, 745, 1375, 1235, 849, 512, 719, 539, 15267, 21555, 607, 6225, 585, 513, 1279, 1592, 540, 824, 2042, 267, 8151, 689, 11522, 267, 8611, 267, 22854, 1143, 267, 10447, 267, 543, 3987, 547, 9006, 699, 531, 630, 16303, 1302, 10299, 264, 3676, 267, 899, 16891, 27695, 563, 297, 27889, 3205, 267, 2059, 609, 6723, 6115, 543, 18148, 15284, 267, 1705, 1332, 23741, 593, 741, 11396, 267, 607, 1705, 1034, 1004, 945, 11262, 2244, 267, 855, 972, 779, 1100, 1463, 2963, 789, 2479, 28655, 621, 269, 634, 2179, 540, 519, 28400, 5562, 630, 332, 785, 17038, 18146, 264, 3114, 29437, 538, 1034, 23741, 693, 519, 942, 729, 4440, 1932, 1970, 19037, 547, 1831, 883, 343, 5344, 689, 621, 269, 1879, 20616, 4892, 28655, 4376, 267, 621, 729, 5631, 10269, 9789, 3075, 602, 729, 849, 513, 2462, 851, 540, 3013, 779, 4346, 1282, 1346, 2053, 563, 1103, 476, 5002, 277, 267, 6837, 5293, 519, 26192, 5253, 543, 10684, 2920, 267, 8506, 602, 15267, 543, 824, 16909, 2472, 581, 8308, 13042, 269, 901, 729, 519, 4098, 540, 4031, 15725, 519, 9042, 540, 15267, 269, 769, 2663, 1296, 267, 930, 2829, 5293, 811, 25516, 4031, 593, 15267, 2861, 11955, 607, 811, 543, 811, 1004, 7691, 602, 789, 1223, 581, 4356, 268, 14127, 563, 290, 27767, 529, 3245, 519, 667, 745, 1375, 626, 0, 26807, 2043, 267, 607, 1134, 607, 1346, 945, 798, 711, 3548, 3165, 543, 1346, 945, 2461, 693, 3978, 1981, 585, 9025, 2621, 267, 949, 4324, 689, 3165, 3282, 9360, 563, 5415, 1419, 982, 711, 267, 9360, 616, 1271, 547, 1205, 519, 15060, 476, 274, 1898, 9761, 7408, 18262, 563, 293, 880, 3282, 267, 799, 568, 1164, 538, 15060, 476, 274, 1898, 9761, 7408, 267, 568, 519, 1034, 3617, 7110, 547, 581, 8246, 585, 713, 6662, 563, 293, 880, 3282, 9360, 1683, 513, 1434, 1259, 547, 1205, 15060, 476, 274, 563, 1103, 519, 1739, 9433, 616, 2693, 1072, 2640, 1382, 814, 4362, 585, 3165, 610, 3165, 3282, 950, 3773, 547, 519, 2732, 563, 288, 1297, 540, 3978, 1072, 2042, 267, 971, 607, 19357, 658, 10447, 267, 1585, 11871, 267, 27131, 12263, 267, 5186, 18255, 779, 2068, 267, 9025, 2068, 543, 513, 1297, 540, 824, 2042, 666, 581, 3361, 676, 6553, 563, 15239, 11383, 267, 1382, 2982, 602, 3165, 3282, 666, 9594, 519, 2504, 540, 519, 1560, 779, 6553, 7939, 543, 1852, 10399, 267, 5219, 547, 607, 14382, 698, 1633, 1231, 563, 10144, 945, 7985, 689, 12263, 666, 4324, 689, 519, 4550, 13611, 3601, 540, 15060, 476, 274, 538, 3165, 3282, 563, 1103, 519, 2665, 1141, 1004, 1491, 3165, 3282, 607, 851, 540, 513, 2834, 6296, 267, 519, 4220, 540, 24931, 6553, 5829, 2175, 543, 1072, 4145, 616, 13497, 4389, 563, 2690, 3833, 513, 1247, 267, 5355, 1973, 10009, 729, 6913, 609, 519, 948, 540, 15060, 476, 274, 563, 1607, 1522, 5351, 538, 4227, 610, 9013, 1973, 2604, 2157, 538, 513, 1906, 2043, 267, 543, 4217, 547, 6175, 519, 4960, 540, 13487, 10654, 610, 8482, 563, 22137, 17298, 1369, 519, 2136, 8003, 267, 693, 519, 2160, 540, 10228, 267, 1336, 602, 3165, 3282, 949, 581, 3833, 3730, 585, 4227, 27831, 728, 2157, 1369, 519, 1973, 563, 307, 3419, 22318, 1938, 616, 519, 3983, 9600, 2404, 609, 8501, 267, 602, 3123, 7522, 539, 16209, 543, 11658, 2095, 540, 1973, 563, 763, 2634, 786, 1205, 811, 1973, 950, 707, 2898, 1973, 10009, 4991, 1732, 563, 763, 1267, 568, 267, 519, 2634, 568, 3177, 609, 606, 11506, 2179, 540, 519, 5567, 621, 3340, 547, 7500, 693, 8445, 2773, 267, 799, 1291, 547, 513, 5786, 538, 519, 3978, 1145, 540, 513, 2039, 540, 2589, 28337, 609, 14715, 4713, 267, 971, 607, 585, 3236, 4160, 543, 4965, 563, 5278, 540, 519, 5929, 2589, 5532, 547, 11838, 538, 1453, 616, 267, 3908, 2702, 547, 1445, 267, 11558, 2152, 267, 791, 564, 6681, 2623, 267, 30759, 267, 543, 2110, 3007, 12732, 563, 8448, 2152, 1453, 7092, 689, 3007, 17211, 30759, 4524, 666, 7985, 7854, 267, 3929, 16132, 267, 1565, 4713, 267, 27577, 543, 2152, 609, 2110, 2165, 3965, 563, 32546, 693, 519, 2160, 540, 3162, 5245, 1336, 267, 1498, 267, 602, 3165, 3282, 949, 948, 13468, 2589, 538, 1453, 609, 11838, 563, 763, 1480, 2634, 568, 1500, 909, 540, 476, 2568, 260, 540, 3170, 267, 4061, 20993, 26102, 476, 274, 1898, 9761, 3679, 2157, 538, 1453, 27109, 891, 5615, 949, 849, 948, 547, 2087, 2634, 2773, 563, 288, 3099, 540, 2090, 723, 1336, 602, 3165, 3282, 949, 3986, 2634, 1599, 563, 1103, 1840, 267, 621, 4667, 547, 3986, 519, 2702, 547, 1445, 563, 293, 880, 3282, 949, 581, 1360, 5363, 607, 513, 21455, 547, 6671, 5574, 585, 1453, 7092, 689, 3007, 17211, 30759, 4524, 563, 8601, 519, 1082, 5383, 540, 3165, 3282, 593, 2168, 1072, 267, 711, 1082, 1004, 616, 3222, 602, 15060, 476, 274, 689, 3165, 3282, 666, 3895, 2635, 267, 30437, 2960, 563, 8794, 3165, 3282, 9360, 7512, 7509, 12802, 538, 519, 2960, 563, 1607, 666, 1118, 1272, 513, 2603, 4443, 585, 4896, 945, 814, 1166, 21294, 267, 3819, 2960, 563, 293, 710, 3515, 543, 32060, 616, 849, 1447, 7805, 2094, 707, 2960, 568, 1732, 2111, 547, 11677, 7509, 563, 763, 1560, 779, 5137, 540, 543, 4088, 267, 799, 568, 519, 9594, 3743, 585, 18383, 2736, 8083, 267, 568, 849, 4389, 609, 519, 948, 540, 3165, 3282, 563, 1103, 2013, 596, 4308, 609, 890, 10364, 22377, 267, 596, 2461, 4628, 3222, 540, 519, 7920, 1928, 789, 666, 2014, 3330, 707, 7181, 563, 2467, 616, 930, 824, 2589, 3361, 676, 891, 21385, 799, 616, 3833, 13943, 267, 971, 607, 533, 4157, 532, 267, 30724, 3878, 543, 30724, 3878, 563, 10932, 814, 1336, 267, 18562, 267, 602, 952, 519, 2732, 540, 513, 3461, 3568, 2635, 5666, 540, 15060, 476, 274, 1898, 9761, 7408, 267, 789, 2760, 10929, 607, 1454, 9636, 563, 4504, 1619, 2589, 949, 581, 4389, 609, 519, 5351, 540, 3165, 3282, 267, 4543, 547, 1118, 2126, 2484, 4443, 563, 10932, 5342, 693, 519, 2160, 540, 15930 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 476, 2004, 7486, 1583, 641, 10737, 5396, 543, 519, 1852, 1895, 16922, 540, 476, 3451, 1583, 821, 326, 894, 5396, 1848, 19776, 519, 6111, 540, 20700, 26721, 2442, 1449, 543, 519, 7020, 540, 7486, 676, 5711, 11940, 6242, 269, 901, 1353, 11729, 2147, 2164, 585, 1312, 7271, 543, 7000, 476, 1911, 2600, 2283, 2225, 585, 782, 2550, 267, 2436, 593, 1884, 790, 339, 22201, 12637, 3797, 610, 711, 269, 4746, 267, 2147, 2472, 971, 607, 744, 571, 30022, 7486, 5851, 18873, 616, 2907, 2291, 550, 543, 538, 519, 2344, 799, 1797, 789, 4076, 2907, 1500, 621, 2250, 15111, 13170, 269, 4706, 11261, 540, 19937, 24805, 566, 729, 729, 2904, 476, 1428, 267, 476, 1001, 273, 543, 922, 11261, 540, 18564, 540, 10088, 1998, 547, 519, 7248, 656, 729, 5147, 476, 274, 267, 476, 1001, 273, 454, 32747, 3171, 553, 2225, 28951, 454, 763, 24118, 3926, 1131, 7118, 513, 476, 273, 585, 4791, 23250, 269, 901, 1797, 922, 4791, 1967, 568, 2693, 855, 930, 6791, 610, 1382, 949, 581, 2556, 585, 922, 1655, 6388, 269, 4706, 1967, 568, 2693, 5631, 585, 1079, 2188, 269, 634, 1101, 835, 568, 519, 1449, 1505, 621, 3096, 267, 12077, 1210, 519, 12489, 540, 519, 5711, 12862, 543, 267, 676, 606, 11747, 5114, 267, 16326, 922, 6935, 609, 7486, 1315, 15978, 269, 901, 4152, 7271, 814, 1044, 6325, 607, 519, 24977, 543, 4791, 8062, 2992, 267, 543, 519, 2164, 723, 1044, 4080, 547, 581, 607, 2362, 982, 476, 3445, 2600, 4977, 269, 901, 5012, 547, 519, 2034, 2601, 602, 568, 519, 4527, 538, 519, 2344, 540, 2147, 3457, 267, 971, 607, 744, 571, 30022, 267, 602, 7048, 593, 519, 1482, 7271, 543, 723, 4080, 513, 2362, 4791, 23250, 269, 4595, 938, 3926, 949, 8428, 538, 5634, 3344, 689, 519, 4540, 3457, 267, 2523, 585, 519, 19160, 540, 4227, 922, 1942, 267, 621, 786, 2154, 930, 2417, 1646, 602, 2014, 711, 15980, 513, 476, 274, 585, 713, 7121, 269, 4746, 267, 519, 1507, 1297, 540, 519, 5396, 593, 519, 4791, 8062, 949, 2303, 519, 991, 585, 922, 4152, 538, 513, 8273, 3732, 2551, 563, 2005, 3947, 519, 7872, 540, 513, 7486, 1315, 15978, 5868, 585, 513, 1970, 21057, 3902, 543, 609, 1100, 991, 540, 824, 4791, 3937, 267, 6351, 610, 8047, 2079, 269, 901, 2063, 1448, 568, 2523, 4143, 267, 607, 519, 3077, 3755, 540, 519, 3926, 616, 689, 4057, 2477, 609, 1100, 10333, 547, 2298, 1072, 6703, 267, 610, 8036, 10986, 602, 6218, 741, 5439, 269, 4746, 267, 713, 1582, 23150, 1062, 2488, 7834, 267, 513, 2629, 6161, 1336, 538, 1004, 602, 1449, 585, 7486, 267, 2094, 621, 2115, 1100, 6351, 689, 4896, 3116, 543, 519, 16022, 4159, 540, 519, 2164, 476, 272, 666, 581, 13747, 676, 1034, 540, 519, 3755, 563, 763, 2698, 1942, 540, 519, 1374, 568, 9709, 547, 581, 1447, 982, 1269, 272, 269, 4375, 829, 1587, 269, 898, 786, 1942, 1269, 271, 269, 4037, 585, 519, 31407, 889, 532, 2838, 585, 1142, 10412, 2220, 629, 267, 1269, 271, 269, 6187, 538, 1957, 32605, 267, 543, 1269, 271, 269, 6812, 538, 13381, 5068, 585, 519, 524, 2084, 563, 259, 1321, 269, 7906, 585, 2043, 267, 543, 1269, 275, 269, 1704, 585, 3549, 543, 3906, 269, 1452, 5777, 941, 4956, 998, 519, 4341, 799, 2829, 9062, 519, 1942, 540, 2504, 676, 476, 274, 547, 1205, 519, 3902, 547, 6133, 547, 3549, 267, 982, 9062, 602, 3902, 676, 476, 274, 547, 1205, 1018, 6800, 786, 723, 547, 2628, 563, 15812, 564, 12025, 630, 24248, 7797, 476, 272, 264, 8779, 540, 1587, 2608, 476, 274, 2608, 476, 274, 2608, 11192, 2551, 5461, 538, 1587, 630, 4785, 10369, 264, 1269, 272, 269, 4375, 2608, 476, 274, 2608, 476, 274, 2608, 476, 28766, 267, 10384, 267, 1822, 815, 1269, 274, 269, 9032, 2608, 476, 1015, 317, 280, 563, 7212, 972, 616, 4540, 1753, 7486, 25266, 18873, 267, 1018, 2306, 519, 10412, 2220, 629, 7486, 25266, 4152, 1587, 2189, 689, 519, 1964, 568, 922, 3648, 14949, 1942, 3379, 547, 824, 2409, 540, 7486, 12458, 1749, 4152, 269, 634, 2477, 602, 7985, 689, 519, 1034, 7486, 2665, 616, 4092, 538, 6917, 2950, 1472, 4000, 1141, 972, 568, 513, 3668, 540, 19190, 543, 513, 3668, 540, 2724, 267, 799, 6920, 602, 519, 1699, 693, 25571, 4152, 20164, 2139, 616, 1932, 7199, 585, 606, 3328, 3979, 19742, 269, 634, 10412, 2220, 629, 7486, 25266, 4152, 1587, 568, 711, 1152, 5497, 585, 1346, 2713, 538, 519, 6917, 2127, 855, 849, 1818, 621, 811, 1942, 2500, 585, 4896, 945, 568, 8348, 547, 1205, 7318, 269, 634, 10412, 2220, 629, 7486, 25266, 4152, 1587, 1131, 711, 1152, 1942, 1447, 855, 1131, 849, 581, 1447, 942, 10438, 982, 1818, 513, 7552, 547, 519, 4387, 779, 5604, 269, 5221, 540, 519, 2029, 1031, 547, 1374, 938, 1449, 621, 1131, 1152, 1491, 827, 476, 1789, 3764, 585, 519, 1449, 547, 1683, 2164, 269, 4475, 267, 12570, 513, 6060, 540, 476, 273, 585, 21436, 4406, 9179, 267, 476, 273, 585, 10369, 12025, 630, 4785, 264, 2073, 476, 273, 585, 26269, 543, 476, 274, 585, 7379, 19024, 538, 6997, 4905, 267, 543, 15980, 513, 6060, 540, 476, 273, 585, 14502, 3171, 553, 2225, 267, 476, 273, 585, 27943, 11202, 3118, 543, 476, 273, 585, 11916, 3171, 553, 2225, 267, 938, 24118, 3926, 10742, 267, 543, 14133, 267, 519, 4441, 585, 1175, 4328, 519, 2508, 1464, 540, 513, 2564, 3926, 269, 0, 1103, 519, 2038, 476, 736, 628, 2540, 267, 513, 8978, 5698, 3366, 547, 519, 2679, 540, 5176, 476, 276, 267, 1822, 1857, 3506, 538, 519, 590, 21750, 2136, 2276, 547, 2087, 2069, 3255, 585, 3979, 1977, 1053, 269, 769, 476, 1708, 274, 267, 519, 17906, 3557, 7467, 786, 1445, 593, 4687, 519, 12583, 543, 23543, 540, 1018, 941, 1634, 607, 25347, 342, 12245, 3506, 267, 609, 1079, 10151, 24218, 563, 763, 1101, 1397, 267, 513, 10707, 10344, 8858, 676, 12448, 3171, 8814, 267, 11331, 2048, 288, 14568, 5020, 585, 4256, 5753, 281, 25840, 25347, 342, 12245, 267, 3883, 518, 570, 269, 6115, 267, 543, 519, 476, 275, 267, 7818, 12140, 602, 932, 6548, 3013, 16224, 786, 2196, 689, 5988, 476, 2537, 267, 476, 1708, 274, 1700, 9802, 476, 2641, 267, 476, 1708, 274, 563, 2690, 1010, 10344, 14266, 267, 3171, 8814, 22755, 811, 982, 476, 1839, 267, 1822, 5195, 267, 13227, 1117, 476, 10755, 3506, 267, 543, 26906, 5449, 1053, 267, 3610, 267, 11091, 1235, 267, 543, 2146, 3401, 689, 1142, 10283, 1533, 269, 3171, 8814, 779, 1433, 540, 519, 1482, 2140, 267, 1631, 538, 922, 3791, 8228, 543, 2139, 693, 519, 17906, 3557, 7467, 15188, 267, 2882, 606, 4367, 676, 5449, 25347, 342, 12245, 1153, 7390, 2465, 543, 18322, 2006, 267, 3627, 11066, 563, 2005, 3568, 476, 5952, 2592, 602, 7001, 954, 12542, 543, 608, 614, 12542, 267, 3506, 17468, 543, 2943, 3562, 15515, 17468, 267, 543, 23609, 540, 1004, 609, 8903, 4296, 547, 891, 3506, 269, 634, 18913, 10707, 14266, 12090, 693, 519, 2817, 4741, 585, 6406, 543, 5274, 7126, 538, 24611, 267, 11908, 267, 543, 666, 4867, 581, 9763, 693, 519, 2817, 6406, 7126, 7467, 538, 6490, 874, 529, 269, 634, 17906, 3557, 7467, 568, 519, 1985, 3247, 593, 922, 4663, 563, 763, 2034, 1397, 267, 2048, 19465, 513, 24761, 8892, 281, 4563, 18877, 543, 25347, 342, 12245, 12140, 538, 17906, 16224, 786, 2196, 689, 4873, 476, 1626, 267, 476, 1708, 274, 998, 5988, 476, 1839, 267, 476, 1708, 275, 269, 23095, 538, 11450, 609, 674, 7416, 2160, 779, 3627, 16593, 543, 589, 675, 20377, 661, 269, 15284, 7732, 267, 1753, 540, 519, 25840, 25347, 342, 12245, 8750, 21287, 267, 519, 14266, 786, 1445, 593, 519, 960, 540, 620, 30282, 267, 18939, 267, 543, 5640, 547, 1382, 543, 8190, 519, 8978, 5638, 267, 2984, 267, 543, 5656, 2404, 609, 25347, 342, 12245, 12140, 538, 17906, 269, 17906, 3557, 7467, 5234, 616, 4867, 10707, 519, 1533, 547, 2743, 609, 8639, 538, 7041, 585, 519, 14266, 563, 2108, 7021, 519, 12732, 540, 476, 1839, 1296, 267, 519, 2679, 540, 891, 3506, 5280, 1689, 519, 2729, 540, 5215, 540, 3979, 1977, 1453, 2223, 1767, 12891, 2917, 1215, 749, 267, 10324, 8689, 540, 519, 17906, 3557, 7467, 269, 968, 1607, 7494, 4299, 4563, 2069, 543, 28279, 4563, 1686, 538, 519, 3162, 269, 634, 24218, 616, 513, 8748, 4316, 547, 2671, 891, 2984, 630, 28236, 540, 873, 14758, 1634, 264, 593, 519, 1379, 543, 2956, 540, 2146, 267, 5698, 267, 543, 24960, 344, 3034, 29820, 547, 6014, 11082, 267, 25840, 25347, 342, 12245, 9782, 547, 1291, 590, 8986, 267, 681, 4141, 321, 3089, 1299, 7577, 543, 2490, 621, 883, 519, 1158, 779, 4102, 10685, 518, 269, 18004, 883, 8474, 267, 3883, 518, 570, 269, 6115, 2968, 519, 15713, 9030, 540, 519, 570, 639, 651, 32607, 4659, 269, 8625, 267, 519, 1079, 2367, 9250, 513, 1982, 547, 7649, 609, 4563, 2950, 547, 1628, 1857, 3506, 585, 3979, 1977, 1453, 269, 4438, 602, 942, 267, 3979, 1977, 1053, 5185, 9465, 15054, 676, 7292, 17478, 267, 5208, 267, 543, 7130, 563, 5228, 476, 4489, 273, 547, 476, 4350, 278, 267, 519, 1982, 3710, 476, 275, 267, 7818, 3506, 2066, 476, 1428, 7013, 2829, 267, 1519, 476, 30500, 538, 17906, 269, 25347, 342, 12245, 3506, 22755, 10565, 6454, 538, 4563, 3872, 26556, 543, 13473, 519, 5108, 945, 2968, 3401, 540, 519, 6406, 7126, 3350, 269, 0, 8368, 540, 12937, 454, 1432, 23465, 609, 1216, 543, 8652, 18608, 545, 3679, 888, 288, 6070, 630, 1729, 2447, 1235, 264, 568, 513, 1587, 540, 606, 3679, 1532, 848, 5114, 543, 568, 1500, 909, 540, 519, 524, 566, 689, 519, 3490, 543, 519, 606, 542, 689, 519, 3679, 269, 31527, 18608, 545, 3679, 23465, 609, 9770, 28355, 547, 1106, 9770, 17296, 630, 320, 6070, 264, 543, 1216, 563, 1432, 6464, 2746, 3423, 1836, 609, 670, 5141, 888, 3725, 9711, 3423, 1836, 609, 513, 2647, 3099, 540, 5214, 543, 22803, 6464, 1519, 4568, 267, 16087, 1938, 267, 8392, 919, 267, 17552, 6233, 267, 6491, 6233, 543, 8407, 269, 25548, 324, 5139, 525, 543, 3134, 2135, 1938, 538, 519, 4527, 540, 8652, 18608, 545, 3679, 2014, 10795, 12249, 1436, 563, 1432, 3693, 23465, 609, 1216, 3423, 1836, 888, 763, 12659, 8932, 8407, 630, 30537, 267, 10878, 267, 918, 267, 681, 321, 267, 595, 338, 267, 543, 2605, 264, 616, 519, 1034, 19535, 8407, 538, 519, 13350, 3349, 1107, 789, 782, 2746, 25525, 3585, 610, 1256, 14885, 1947, 609, 4411, 1216, 267, 4611, 538, 519, 12761, 540, 7250, 563, 7617, 540, 519, 1739, 23465, 609, 8652, 18608, 545, 3679, 888, 4322, 8407, 2443, 536, 2044, 961, 1756, 267, 13101, 267, 7513, 543, 1193, 2632, 1756, 2443, 2746, 609, 8652, 18608, 545, 3679, 547, 1106, 513, 17296, 543, 1863, 7250, 563, 7617, 7623, 568, 1034, 19535, 538, 8652, 18608, 545, 3679, 888, 1103, 25694, 3070, 267, 519, 1034, 2596, 993, 710, 568, 630, 6224, 274, 264, 273, 26822, 543, 8754, 621, 568, 1034, 19535, 2509, 32561, 8652, 18608, 545, 3679, 563, 9989, 670, 5141, 2746, 609, 1216, 888, 22134, 549, 18608, 545, 3679, 267, 513, 2178, 3679, 267, 9357, 3278, 4625, 538, 1216, 547, 1106, 519, 3289, 1258, 1756, 543, 20841, 630, 5141, 6629, 264, 12274, 538, 513, 1587, 1922, 822, 10696, 5114, 269, 634, 3679, 1532, 848, 5114, 568, 519, 4483, 540, 519, 7250, 9357, 689, 519, 3679, 630, 295, 5141, 264, 547, 519, 3490, 630, 26822, 274, 1916, 7617, 3693, 1281, 711, 2746, 609, 32561, 670, 5141, 888, 1700, 4475, 519, 8407, 799, 798, 711, 2746, 609, 32561, 8652, 18608, 545, 3679, 616, 7601, 543, 16035, 563, 1432, 3114, 30012, 609, 1216, 1011, 1712, 888, 12850, 20256, 630, 321, 18847, 7406, 264, 798, 711, 1106, 26389, 543, 798, 711, 267, 540, 1576, 267, 2746, 3423, 1836, 269, 1280, 5756, 267, 2257, 12439, 723, 30590, 693, 519, 28020, 17615, 1259, 9770, 543, 11379, 1011, 1712, 593, 3346, 609, 1216, 563, 1432, 1079, 2609, 2746, 3423, 1836, 1927, 888, 3086, 1851, 519, 2016, 3681, 267, 519, 5114, 1063, 25914, 710, 543, 11379, 786, 581, 1034, 10795, 269, 901, 568, 1317, 2687, 547, 519, 13350, 3601, 519, 2746, 2032, 540, 11379, 543, 20841, 568, 1360, 1164, 563, 7617, 3693, 568, 519, 1034, 19535, 609, 670, 5141, 888, 278, 269, 274, 634, 28731, 11314, 540, 5450, 1023, 454, 347, 338, 18754, 1475, 11947, 569, 19535, 538, 1216, 13954, 11947, 569, 19535, 538, 3679, 8198, 347, 332, 1725, 10901, 1475, 5591, 5114, 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 ]
[ 3278, 1200, 2835, 593, 21684, 269, 2701, 12662, 476, 274, 2835, 538, 1142, 4737, 563, 320, 269, 19130, 538, 519, 4834, 593, 519, 1318, 269, 2422, 873, 547, 2721, 14249, 602, 1397, 519, 2835, 593, 1520, 686, 3570, 5889, 23717, 338, 1283, 543, 5377, 21684, 780, 15008, 912, 11693, 1520, 686, 3570, 1418, 3278, 1200, 2835, 593, 21684, 563, 9515, 12662, 476, 274, 2835, 538, 1142, 4737, 563, 320, 269, 674, 2683, 538, 519, 4834, 593, 519, 1318, 607, 630, 276, 17723, 1765, 476, 274, 1070, 630, 272, 17723, 1765, 476, 274, 994, 5825, 539, 873, 547, 2721, 14249, 602, 1397, 519, 2835, 593, 454, 3849, 686, 3570, 5889, 23717, 338, 1283, 543, 5377, 21684, 607, 3254, 1657, 780, 321, 269, 1520, 686, 3570, 21410, 519, 2698, 1297, 540, 2835, 607, 3254, 2630, 563, 8196, 519, 5044, 596, 16668, 547, 948, 2491, 1520, 686, 3570, 5889, 23717, 338, 9819, 780, 15008, 912, 3849, 686, 3570, 21410, 519, 2698, 476, 1240, 1297, 540, 2835, 607, 3254, 1657, 2676, 5825, 539, 519, 5044, 547, 16668, 547, 948, 2491, 1520, 686, 3570, 779, 9819, 607, 454, 277, 17723, 1765, 476, 274, 815, 630, 276, 17723, 1765, 476, 274, 264, 1341, 630, 272, 17723, 1765, 476, 274, 264, 815, 476, 1428, 1341, 476, 274, 815, 476, 1240, 610, 476, 277, 17723, 1765, 476, 274, 815, 476, 1240, 780, 9928, 2651, 547, 5440, 454, 9928, 2651, 547, 5440, 0, 258, 1403, 1535, 273, 1341, 476, 272, 24474, 273, 284, 278, 1287, 1265, 1871, 540, 1535, 274, 1341, 476, 272, 24474, 274, 692, 3287, 1341, 476, 272, 24474, 264, 273, 815, 1535, 273, 1341, 476, 272, 24474, 273, 1341, 476, 273, 692, 3287, 1341, 476, 272, 24474, 264, 273, 815, 476, 280, 692, 343, 1341, 476, 272, 24474, 815, 476, 274, 692, 852, 692, 3287, 1341, 476, 272, 24474, 264, 274, 815, 1535, 274, 1341, 476, 272, 24474, 274, 1341, 476, 274, 3287, 1341, 476, 272, 24474, 2020, 2767, 815, 1535, 274, 1341, 476, 272, 24474, 274, 1341, 476, 280, 692, 528, 692, 343, 274, 1341, 476, 272, 24474, 274, 815, 476, 2767, 910, 476, 280, 815, 476, 1109, 1240, 692, 527, 695, 9567, 581, 519, 2626, 692, 1892, 476, 7918, 454, 1432, 616, 596, 3168, 585, 286, 0, 2691, 596, 2461, 6173, 908, 513, 21937, 1318, 883, 513, 2635, 543, 7059, 2937, 2915, 596, 786, 6157, 1224, 1585, 4808, 3823, 875, 1454, 1426, 596, 1590, 991, 547, 8023, 873, 269, 13518, 540, 519, 5796, 786, 6157, 2995, 8004, 23136, 875, 3875, 11680, 596, 1058, 946, 269, 5221, 602, 22343, 543, 849, 4058, 4128, 267, 6550, 2097, 7484, 7516, 616, 849, 1360, 1271, 269, 2060, 602, 538, 2247, 267, 594, 8359, 547, 3605, 856, 585, 8885, 875, 1082, 11680, 616, 538, 513, 11013, 540, 2915, 1426, 780, 2791, 616, 8384, 281, 1215, 1082, 11680, 540, 2915, 1426, 538, 513, 11013, 692, 1692, 9118, 11680, 540, 2915, 1426, 568, 538, 513, 11013, 286, 589, 6671, 21092, 7484, 666, 3180, 476, 276, 13728, 540, 12015, 2915, 1426, 269, 2334, 1259, 972, 568, 1175, 936, 476, 274, 7484, 538, 513, 18470, 540, 2915, 1426, 269, 595, 5725, 543, 544, 13903, 786, 8428, 538, 2450, 267, 4061, 930, 1377, 540, 13065, 1590, 581, 4294, 269, 1403, 538, 8969, 267, 5225, 9260, 707, 2915, 779, 1426, 5265, 1991, 547, 8023, 780, 2162, 29626, 875, 3875, 11680, 540, 3819, 2915, 1426, 538, 513, 11013, 692, 296, 4904, 2333, 513, 7484, 609, 930, 540, 938, 2915, 779, 12015, 1426, 267, 1287, 23498, 621, 856, 1318, 883, 930, 20604, 10253, 269, 634, 737, 756, 1076, 1426, 562, 338, 993, 1210, 1934, 568, 10424, 2052, 514, 779, 3943, 10089, 671, 690, 3099, 780, 2791, 666, 1294, 513, 8523, 2630, 780, 2414, 1265, 856, 875, 7899, 540, 11680, 2230, 538, 513, 18470, 540, 2915, 1426, 594, 1360, 1101, 23953, 3819, 2915, 1426, 883, 606, 11667, 21092, 7484, 780, 296, 4769, 1406, 547, 6445, 621, 4628, 547, 519, 6099, 607, 930, 11680, 543, 849, 544, 13903, 786, 8428, 538, 2450, 267, 855, 621, 779, 711, 1932, 1454, 1055, 1373, 11207, 2407, 780, 2791, 17330, 547, 1631, 1294, 2630, 1141, 594, 23498, 519, 7484, 540, 3819, 1426, 1318, 883, 938, 20604, 10253, 269, 19863, 324, 519, 3943, 10089, 671, 690, 729, 9811, 267, 2731, 5461, 538, 519, 4603, 1927, 596, 666, 1294, 2439, 290, 5055, 8775, 3893, 2731, 5461, 538, 9553, 4603, 693, 713, 1448, 2439, 5629, 1775, 1185, 14931, 547, 3489, 19863, 324, 779, 9224, 2476, 689, 519, 12015, 1426, 630, 712, 3032, 849, 6836, 547, 1205, 3238, 14386, 594, 729, 2111, 547, 1294, 10502, 875, 2603, 513, 7484, 602, 2915, 1426, 22179, 780, 2791, 17330, 547, 1294, 513, 2673, 2333, 540, 519, 2597, 6482, 538, 519, 4605, 2630, 269, 589, 7484, 519, 2915, 1426, 6585, 476, 276, 13728, 630, 5611, 10101, 6393, 1103, 713, 24680, 539, 538, 8523, 596, 17330, 547, 1294, 4481, 875, 2603, 938, 7484, 540, 3819, 2915, 1426, 26693, 780, 3086, 602, 562, 338, 6785, 875, 1082, 13728, 540, 12015, 2915, 1426, 547, 581, 538, 835, 7484, 267, 594, 1223, 798, 9553, 9273, 607, 5205, 780, 2162, 634, 9819, 1184, 692, 2467, 4055, 476, 1626, 13728, 538, 476, 272, 11013, 269, 1284, 2907, 917, 602, 606, 1611, 21092, 7484, 723, 519, 1318, 547, 3180, 476, 276, 13728, 540, 3819, 2915, 1426, 269, 476, 276, 13728, 568, 476, 271, 269, 4029, 6550, 269, 2334, 1505, 596, 666, 1205, 1175, 936, 476, 274, 11680, 883, 476, 272, 11013, 780, 2005, 779, 1100, 3169, 267, 865, 585, 1346, 602, 596, 602, 899, 1808, 2338, 267, 952, 596, 9062, 476, 271, 269, 4029, 6550, 676, 476, 274, 11680, 267, 602, 2488, 596, 476, 271, 269, 11152, 6550, 269, 8786, 1100, 1483, 991, 547, 844, 756, 1076, 1932, 1454, 609, 713, 1107, 1927, 596, 17330, 547, 1294, 267, 476, 274, 7484, 540, 2915, 1426, 11224, 12303, 476, 272, 18470, 865, 621, 779, 513, 606, 5140, 3391, 2097, 1246, 780, 8794, 713, 1360, 1482, 9819, 1505, 594, 4076, 11338, 6059, 519, 1739, 4267, 2097, 824, 4122, 4280, 2055, 11341, 547, 875, 9118, 11680, 540, 2915, 1426, 4055, 538, 513, 11013, 780, 1692, 3875, 11680, 519, 2915, 1426, 538, 513, 476, 2412, 1790, 895, 9126, 286, 1109, 2026, 972, 2230, 476, 25953, 13728, 538, 476, 2412, 6550, 267, 649, 1058, 7941, 476, 25953, 676, 476, 276, 630, 553, 972, 4055, 476, 276, 13728, 538, 476, 272, 7484, 1040, 901, 1797, 596, 666, 1205, 827, 476, 12553, 11680, 540, 2915, 1426, 538, 513, 476, 2412, 1790, 895, 9126, 32289, 1082, 11680, 540, 2915, 1426, 538, 513, 476, 1789, 1790, 895, 9126, 286, 1109, 2026, 972, 616, 476, 21878, 13728, 538, 476, 1789, 6550, 267, 649, 723, 547, 7941, 476, 21878, 676, 476, 276, 630, 553, 972, 2230, 476, 276, 13728, 538, 476, 272, 7484, 1040, 901, 1505, 596, 17330, 547, 1205, 5111, 476, 9834, 7484, 540, 2915, 1426, 538, 513, 476, 1789, 1790, 895, 9126, 32289, 3875, 11680, 538, 476, 1839, 6550, 540, 2915, 1426, 286, 1109, 2026, 972, 2230, 476, 6110, 13728, 538, 476, 1839, 6550, 267, 649, 723, 547, 7941, 476, 6110, 676, 476, 276, 630, 553, 972, 2230, 476, 276, 13728, 538, 476, 272, 7484, 1040, 901, 1505, 596, 17330, 547, 1205, 10199, 476, 3199, 11680, 540, 2915, 1426, 538, 513, 476, 1839, 1790, 895, 9126, 32289, 1082, 11680, 4055, 538, 513, 476, 1428, 1790, 895, 9126, 602, 2915, 1426, 286, 1109, 2026, 972, 4055, 476, 13301, 13728, 538, 476, 1428, 6550, 267, 649, 991, 547, 7941, 476, 13301, 998, 476, 276, 630, 553, 972, 616, 476, 276, 13728, 538, 476, 272, 7484, 1040, 901, 1797, 596, 666, 1205, 827, 476, 4366, 11680, 540, 2915, 1426, 538, 513, 476, 1428, 1790, 895, 9126, 32289, 9118, 11680, 616, 538, 513, 476, 1321, 1790, 895, 9126, 602, 2915, 1426, 286, 1109, 2026, 972, 2230, 476, 4572, 13728, 538, 476, 1321, 6550, 267, 649, 991, 547, 7941, 476, 4572, 676, 476, 276, 630, 553, 972, 616, 476, 276, 13728, 538, 476, 272, 7484, 1040, 901, 1259, 596, 17330, 547, 1205, 5111, 476, 4343, 7484, 540, 2915, 1426, 538, 513, 476, 1321, 1790, 895, 9126, 32289, 1082, 11680, 616, 538, 513, 476, 1015, 1790, 895, 9126, 602, 2915, 1426, 286, 1109, 2026, 972, 4055, 476, 8182, 13728, 538, 476, 1015, 6550, 267, 649, 1590, 7941, 476, 8182, 676, 476, 276, 630, 553, 972, 2230, 476, 276, 13728, 538, 476, 272, 7484, 1040, 901, 1505, 596, 17330, 547, 1205, 827, 476, 3953, 7484, 540, 2915, 1426, 538, 513, 476, 1015, 1790, 895, 9126, 32289, 9118, 11680, 2230, 538, 513, 476, 276, 1790, 895, 9126, 602, 2915, 1426, 286, 1109, 2026, 972, 4055, 476, 3199, 13728, 538, 476, 276, 6550, 267, 649, 1590, 7941, 476, 3199, 676, 476, 276, 630, 553, 972, 4055, 476, 276, 13728, 538, 476, 272, 7484, 1040, 901, 1505, 596, 666, 1205, 10199, 476, 1626, 11680, 540, 2915, 1426, 538, 513, 476, 276, 1790, 895, 9126, 780, 2162, 1411, 1522, 11338, 581, 5461, 538, 2507, 692, 2252, 596, 616, 519, 8227, 540, 513, 3943, 10089, 671, 690, 21937, 1287, 972, 568, 513, 14553, 8023, 8430, 543, 15415, 596, 1058, 6529, 547, 269, 1411, 723, 519, 1318, 547, 1224, 602, 593, 519, 3095, 2630, 630, 527, 849, 2882, 513, 4647, 762, 8023, 5750, 6393, 1012, 10390, 692, 296, 8359, 547, 14892, 713, 4603, 607, 1267, 540, 519, 2647, 2039, 540, 1585, 4267, 3489, 762, 593, 519, 5769, 267, 782, 540, 799, 7902, 547, 2161, 1114, 1919, 780, 2005, 3576, 803, 1175, 513, 7008, 540, 3764, 267, 543, 621, 779, 824, 602, 1775, 4363, 596, 4163, 856, 1932, 780, 291, 9233, 1058, 581, 17477, 593, 513, 7453, 2732, 269, 3683, 1922, 29623, 723, 519, 1318, 547, 1291, 2097, 513, 5542, 540, 1072, 13542, 1519, 3987, 630, 1877, 779, 513, 1592, 540, 6093, 2915, 1072, 2042, 1070, 4061, 596, 991, 547, 1491, 3063, 2027, 1416, 711, 547, 2285, 873, 1454, 811, 982, 789, 991, 269, 1284, 10123, 7110, 513, 2370, 3787, 602, 4829, 883, 938, 674, 1066, 2151, 779, 2732, 267, 2943, 713, 568, 585, 811, 540, 513, 15165, 543, 849, 1521, 14091, 367, 368, 30319, 513, 1554, 3562, 6377, 1426, 2707, 780, 21652, 344, 670, 842, 281, 930, 5613, 17330, 547, 581, 6757, 543, 849, 5906, 585, 5243, 269, 3367, 713, 7650, 547, 476, 6078, 5613, 1519, 799, 3283, 616, 2922, 543, 849, 799, 3283, 723, 547, 581, 14284, 538, 513, 2915, 779, 2732, 780, 8450, 811, 281, 476, 1001, 273, 4258, 11803, 5689, 756, 340, 23556, 31207, 19715, 267, 6496, 589, 476, 1220, 280, 4258, 11803, 5689, 756, 340, 5620, 589, 23556, 31207, 692, 1103, 782, 19969, 267, 562, 338, 1810, 1406, 3494, 649, 1590, 946, 11680, 543, 544, 13903, 607, 7403, 585, 8023, 5243, 269, 1284, 723, 2965, 513, 3099, 540, 1114, 21092, 7484, 538, 938, 1360, 1378, 10051, 267, 865, 950, 596, 2461, 5143, 2097, 3049, 1200, 2915, 513, 1978, 3099, 540, 11680, 267, 1018, 4481, 1281, 602, 1611, 2496, 4692, 596, 4585, 1018, 562, 338, 993, 6031, 286, 945, 5963, 547, 917, 1018, 21092, 11680, 519, 9742, 619, 543, 1654, 1206, 3490, 707, 5583, 593, 2496, 763, 4998, 3364, 547, 1685, 568, 547, 979, 1055, 513, 4452, 6482, 1107, 713, 568, 1018, 649, 1685, 609, 19863, 324, 519, 674, 1066, 2151, 2439, 3719, 267, 693, 2547, 596, 1631, 723, 513, 1360, 11315, 2856, 593, 875, 1082, 11680, 2230, 538, 513, 11013, 540, 2915, 1426, 267, 7132, 519, 3044, 21092, 11435, 3489, 762, 593, 519, 2344, 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 ]
[ 0, 290, 776, 331, 2506, 3205, 267, 513, 5339, 11285, 267, 543, 7917, 5261, 6196, 8643, 267, 513, 2575, 14787, 267, 1491, 513, 1007, 543, 3102, 1413, 693, 519, 1034, 4583, 6739, 22968, 267, 4053, 3073, 20391, 781, 16907, 529, 2696, 684, 990, 269, 634, 1267, 568, 1312, 513, 3140, 1353, 540, 513, 4583, 960, 543, 606, 4612, 894, 4062, 540, 14172, 269, 634, 3584, 5941, 1331, 281, 519, 16907, 529, 26626, 538, 1686, 267, 519, 9490, 1650, 540, 519, 22968, 781, 5888, 543, 14469, 267, 922, 1101, 24299, 693, 1753, 543, 13383, 267, 543, 606, 538, 3829, 7574, 2079, 269, 769, 519, 1184, 267, 1896, 7928, 6959, 538, 4053, 3073, 20391, 14172, 616, 5587, 1881, 543, 22621, 269, 634, 4320, 3568, 513, 5542, 540, 5929, 5931, 538, 9880, 267, 3875, 2504, 11147, 267, 513, 15853, 543, 1167, 2762, 563, 8368, 540, 12937, 454, 8266, 540, 12383, 282, 5903, 540, 7515, 282, 2776, 2183, 543, 8622, 18488, 282, 3487, 594, 269, 17461, 281, 476, 272, 269, 17578, 541, 16907, 529, 538, 1686, 282, 476, 273, 269, 4053, 3073, 20391, 781, 5339, 2959, 267, 10127, 600, 345, 514, 543, 32379, 7219, 282, 476, 274, 269, 21931, 543, 7574, 5348, 18462, 540, 519, 22968, 282, 476, 275, 269, 3778, 540, 519, 5888, 267, 18349, 267, 14469, 267, 543, 10343, 540, 16907, 529, 2696, 684, 990, 282, 476, 276, 269, 589, 9661, 540, 1079, 24299, 910, 853, 269, 22642, 7921, 630, 6942, 275, 268, 6642, 273, 1070, 8303, 630, 5002, 279, 5148, 3487, 4083, 269, 9980, 337, 262, 716, 324, 281, 476, 277, 269, 16907, 529, 543, 519, 524, 16428, 281, 6054, 282, 476, 278, 269, 634, 22968, 998, 519, 1296, 281, 5697, 5931, 538, 9880, 282, 3487, 8633, 269, 28604, 281, 476, 279, 269, 634, 16907, 529, 5391, 4958, 1729, 607, 513, 6101, 267, 5339, 267, 543, 3140, 1966, 282, 476, 280, 269, 634, 2575, 282, 476, 1015, 269, 16907, 529, 2696, 684, 990, 1282, 519, 795, 889, 850, 324, 8717, 281, 519, 476, 2735, 271, 338, 543, 3564, 282, 5494, 2762, 282, 31639, 282, 12039, 269, 0, 22998, 607, 513, 2319, 267, 519, 14520, 814, 547, 1205, 3025, 2066, 513, 32761, 1354, 519, 824, 14520, 21314, 621, 454, 332, 27965, 11746, 610, 25879, 267, 12215, 540, 513, 840, 9102, 7470, 585, 3401, 454, 339, 1901, 610, 25879, 513, 7470, 593, 519, 6989, 910, 476, 276, 1535, 476, 276, 10945, 563, 22117, 518, 814, 513, 9102, 7470, 609, 513, 2312, 8905, 593, 621, 267, 543, 10945, 609, 844, 6506, 663, 6825, 269, 10699, 338, 666, 1152, 1847, 585, 2072, 267, 23651, 610, 2427, 1811, 630, 2254, 25241, 958, 1040, 1403, 789, 1900, 593, 513, 4009, 609, 844, 6506, 663, 538, 621, 267, 519, 6205, 695, 8083, 1412, 9767, 2811, 29855, 3299, 789, 723, 547, 979, 1394, 547, 519, 1376, 543, 1776, 10699, 6238, 563, 2414, 1118, 621, 811, 4143, 547, 12445, 910, 6003, 1142, 7852, 543, 2154, 519, 14520, 518, 547, 2995, 519, 10699, 593, 519, 32761, 799, 1259, 547, 979, 676, 1210, 519, 1071, 268, 24002, 540, 1142, 4009, 269, 1411, 1223, 849, 1118, 621, 513, 5198, 910, 10699, 338, 689, 14595, 14520, 525, 979, 538, 2490, 543, 519, 10888, 14520, 814, 782, 741, 10699, 338, 547, 3106, 1101, 630, 18484, 1405, 7340, 547, 1118, 2386, 3160, 2338, 538, 519, 12721, 14520, 525, 994, 268, 10341, 910, 9046, 6061, 454, 268, 12243, 26064, 910, 8048, 454, 268, 12243, 1740, 910, 12243, 3014, 0, 1692, 547, 1763, 9876, 6355, 2598, 1584, 525, 609, 1488, 4226, 1674, 610, 2405, 2747, 454, 18183, 4310, 827, 2405, 2747, 543, 1488, 4226, 1674, 888, 763, 1079, 3157, 540, 25019, 543, 32404, 616, 1419, 11821, 269, 1358, 616, 1079, 1114, 3157, 267, 4244, 2081, 547, 8207, 7526, 1063, 2043, 267, 3885, 267, 2516, 267, 543, 4213, 269, 1284, 3513, 1413, 693, 1312, 25019, 543, 32404, 267, 875, 1142, 1568, 267, 543, 875, 789, 616, 1114, 563, 1103, 2221, 781, 1870, 1158, 267, 811, 543, 811, 11731, 1331, 32404, 543, 25019, 607, 8925, 547, 25036, 630, 322, 22620, 11175, 540, 13882, 1916, 6524, 596, 1129, 513, 4579, 799, 2882, 835, 610, 811, 540, 891, 1079, 2010, 540, 15539, 6571, 610, 596, 3858, 547, 8207, 513, 1870, 15539, 1210, 835, 540, 891, 3157, 267, 596, 1058, 917, 811, 827, 873, 543, 519, 10486, 543, 3604, 1063, 873, 563, 1692, 6496, 2405, 2747, 4518, 888, 300, 27467, 568, 513, 1505, 540, 20547, 21390, 269, 769, 513, 15539, 267, 513, 3791, 5428, 18657, 1807, 568, 4547, 538, 547, 4217, 519, 6105, 538, 8757, 513, 11175, 269, 769, 1082, 2665, 267, 519, 18657, 1807, 1281, 711, 723, 6392, 547, 1118, 513, 11006, 3375, 269, 2368, 2640, 540, 25019, 936, 25036, 616, 912, 268, 898, 568, 4357, 543, 14804, 267, 607, 10353, 547, 8062, 267, 799, 616, 1360, 1857, 563, 268, 634, 18657, 1807, 568, 6662, 543, 2337, 519, 6105, 2263, 8925, 563, 268, 634, 1184, 540, 25019, 568, 3006, 1031, 538, 1747, 540, 25036, 267, 855, 811, 1419, 621, 781, 1031, 547, 8207, 13882, 1354, 789, 1205, 547, 519, 1448, 1141, 25036, 610, 32404, 568, 2838, 563, 268, 634, 1184, 568, 1447, 7199, 982, 513, 1279, 543, 14427, 4693, 269, 5637, 6105, 2671, 538, 519, 1942, 540, 513, 18657, 1807, 563, 268, 634, 7872, 540, 11173, 519, 1870, 610, 2123, 2078, 2663, 568, 1454, 3152, 2094, 519, 15539, 814, 1044, 17251, 609, 7156, 540, 1312, 6105, 563, 268, 634, 18657, 1807, 949, 581, 2111, 547, 15974, 3860, 3435, 610, 22581, 563, 6097, 547, 519, 1977, 1488, 4226, 1674, 5948, 630, 8150, 288, 1070, 827, 476, 5952, 260, 540, 1199, 9911, 1267, 538, 513, 11175, 269, 1403, 519, 6105, 3112, 3858, 998, 25019, 267, 789, 666, 8399, 547, 32404, 610, 25036, 563, 1692, 6496, 1488, 4226, 1674, 4518, 888, 6635, 4226, 1674, 568, 519, 1184, 540, 26446, 513, 15539, 547, 606, 31717, 1268, 585, 3803, 543, 11006, 8990, 269, 769, 606, 32404, 1184, 267, 3656, 3652, 540, 2963, 1810, 1406, 4019, 543, 972, 568, 1100, 6101, 6602, 1184, 563, 763, 11737, 15249, 949, 2307, 585, 4143, 6054, 267, 543, 519, 11737, 15249, 22347, 1080, 606, 6644, 1310, 17265, 519, 2013, 269, 1306, 609, 25019, 267, 519, 1184, 666, 581, 16516, 543, 17251, 3533, 267, 543, 621, 568, 1454, 1447, 10779, 25106, 982, 25036, 563, 6635, 4226, 1674, 5288, 269, 2405, 2747, 910, 1215, 1358, 616, 7756, 454, 268, 1488, 4226, 1674, 568, 513, 6217, 1184, 538, 799, 6105, 3142, 741, 15539, 547, 2576, 585, 513, 3375, 269, 2405, 2747, 568, 513, 1795, 10949, 267, 19908, 1184, 538, 799, 513, 8036, 18657, 1807, 1568, 547, 3142, 519, 6105, 547, 606, 6876, 563, 268, 2405, 2747, 568, 13016, 282, 32404, 568, 6101, 563, 268, 634, 3804, 540, 25019, 568, 547, 8207, 21390, 267, 1247, 519, 3804, 540, 32404, 568, 547, 2097, 547, 513, 3375, 538, 513, 15539, 563, 268, 634, 18657, 1807, 814, 1100, 1379, 547, 3196, 519, 6105, 547, 2097, 547, 513, 3375, 282, 519, 11737, 15249, 2306, 513, 16601, 543, 630, 17141, 264, 11006, 3375, 563, 268, 769, 513, 25019, 267, 2901, 5428, 666, 11198, 693, 1022, 942, 282, 538, 606, 32404, 267, 2899, 621, 5956, 972, 568, 2356, 711, 513, 7872, 540, 15639, 563, 288, 16797, 18948, 15873, 585, 1488, 4226, 1674, 543, 2405, 2747, 454, 19064, 3205, 538, 932, 1618, 1475, 6635, 4226, 15249, 1475, 300, 2664, 1807, 2008, 347, 7883, 531, 1475, 13356, 1707, 593, 513, 2598, 335, 1393, 1475, 4910, 9876, 16700, 16187, 902, 2008, 347, 21156, 540, 513, 23632, 286, 1475, 8133, 1475, 5591, 2008, 347, 8005, 24439, 17423, 1475, 6635, 4226, 15249, 1475, 8512, 625, 949, 6430, 2008, 347, 5319, 7593, 540, 17423, 1475, 6635, 4226, 15249, 3375, 2356, 11006, 1475, 8512, 625, 1810, 1405, 723, 547, 1439, 519, 1184, 609, 6876, 2008, 2026, 596, 666, 1294, 267, 972, 568, 513, 1747, 585, 1312, 540, 891, 3157, 538, 1870, 15539, 6571, 269, 0, 30144, 2732, 6516, 30144, 2732, 6516, 11829, 31041, 1599, 2042, 2635, 2732, 2661, 2257, 267, 519, 7086, 31041, 1507, 1418, 4558, 23925, 9397, 3170, 1426, 7086, 18429, 7086, 31041, 2068, 7086, 31041, 6285, 1395, 269, 13245, 4189, 6676, 2635, 4189, 18158, 2073, 1451, 2635, 4189, 6676, 3391, 2870, 2635, 7059, 6980, 6039, 6676, 14095, 12899, 4216, 269, 7994, 1250, 30066, 267, 1250, 30066, 14550, 1426, 2516, 2679, 7161, 2635, 2732, 5432, 3239, 1747, 4259, 7594, 269, 634, 2732, 3501, 1072, 2732, 3501, 1072, 2732, 267, 1775, 533, 4954, 1004, 32230, 3339, 2635, 1004, 7378, 4187, 840, 3987, 15847, 1004, 7378, 4187, 269, 3733, 30066, 3442, 1250, 30066, 267, 1250, 30066, 12576, 1265, 2635, 4189, 2511, 1628, 10715, 3548, 4235, 6927, 3575, 563, 16665, 5403, 2433, 13245, 2732, 6516, 454, 294, 718, 31041, 281, 9577, 267, 10819, 1299, 13245, 10791, 910, 14970, 3163, 454, 763, 7086, 31041, 568, 513, 1507, 1418, 602, 568, 1031, 547, 4558, 23925, 267, 799, 9397, 909, 519, 3170, 538, 1426, 269, 11829, 18429, 267, 7086, 31041, 2068, 543, 7086, 31041, 6285, 616, 1455, 4429, 8310, 9337, 11205, 267, 476, 1556, 4455, 476, 1001, 279, 476, 866, 281, 3451, 281, 876, 10648, 307, 3367, 2859, 454, 30144, 14856, 17934, 1299, 13245, 14856, 30958, 1923, 634, 454, 9596, 875, 547, 946, 634, 13245, 14856, 17934, 607, 513, 3391, 585, 2870, 2635, 267, 7059, 6980, 1765, 31347, 6039, 593, 513, 6676, 610, 14095, 538, 513, 12899, 4216, 19601, 8310, 9337, 570, 826, 267, 476, 1240, 9484, 476, 1001, 273, 476, 1704, 281, 2764, 281, 876, 10648, 307, 3367, 2859, 454, 7069, 5522, 622, 14550, 519, 2947, 1426, 2516, 602, 616, 519, 2679, 7161, 585, 513, 2635, 2732, 1210, 513, 5432, 3239, 1107, 513, 1747, 4259, 585, 513, 7594, 19601, 8310, 9337, 29443, 267, 476, 1839, 2904, 476, 1001, 279, 476, 736, 281, 5881, 281, 876, 10648, 307, 3367, 2859, 454, 763, 10791, 910, 17828, 2657, 10791, 1923, 17828, 2657, 10791, 454, 296, 1589, 6754, 1082, 1004, 32230, 540, 621, 607, 968, 7538, 2635, 1004, 723, 1100, 7378, 4187, 2479, 892, 1299, 968, 2181, 26817, 3449, 1299, 15847, 1004, 723, 7378, 4187, 782, 4429, 8310, 9337, 774, 340, 267, 476, 2190, 2904, 476, 1001, 279, 476, 1626, 281, 3451, 281, 876, 10648, 307, 3367, 2859, 0, 763, 2014, 543, 1198, 1557, 568, 835, 602, 12134, 596, 547, 2491, 1018, 6547, 2097, 689, 1978, 3527, 543, 1946, 621, 781, 4122, 2854, 538, 476, 276, 5037, 2511, 269, 1677, 6542, 513, 2014, 543, 922, 1198, 568, 2760, 602, 2653, 538, 2854, 1106, 2638, 856, 938, 2014, 543, 1198, 1557, 5439, 547, 1174, 875, 547, 2328, 606, 1557, 540, 713, 269, 20531, 543, 2360, 1557, 267, 2328, 606, 1557, 827, 707, 1272, 1995, 267, 1034, 694, 334, 5830, 610, 4648, 3111, 547, 1174, 519, 2956, 540, 8101, 543, 3312, 269, 1215, 547, 2497, 606, 1557, 281, 1603, 2014, 543, 1198, 4574, 2312, 543, 20310, 1893, 267, 543, 9266, 1646, 269, 11968, 1199, 534, 657, 2852, 4099, 585, 4081, 1489, 5614, 476, 1001, 273, 2014, 543, 1198, 3594, 2014, 543, 1198, 3594, 616, 7255, 609, 1946, 1919, 4755, 630, 8619, 4926, 264, 543, 1018, 563, 2237, 1250, 14172, 1557, 585, 803, 2014, 543, 1198, 1557, 4214, 2628, 2014, 543, 1198, 568, 513, 1505, 540, 5037, 610, 1557, 1646, 538, 799, 513, 5856, 269, 634, 2014, 1299, 1198, 6516, 568, 1114, 3123, 3123, 538, 513, 2014, 1299, 1198, 6516, 616, 896, 1646, 3299, 543, 865, 593, 267, 855, 519, 1198, 949, 849, 9305, 547, 269, 19837, 10488, 1277, 334, 790, 29629, 12578, 1557, 593, 2014, 543, 1198, 1557, 1060, 1154, 2014, 543, 1198, 568, 513, 1505, 540, 5037, 610, 1557, 1646, 538, 799, 513, 5856, 269, 901, 1863, 15257, 1557, 593, 1557, 281, 519, 2014, 543, 1198, 540, 1126, 6710, 568, 3501, 585, 15257, 1053, 547, 946, 607, 606, 1383, 563, 1692, 547, 2328, 513, 2014, 543, 1198, 1557, 513, 2014, 543, 1198, 1557, 3340, 602, 596, 4983, 513, 1880, 3510, 610, 2680, 543, 3313, 513, 21465, 2078, 269, 5675, 513, 1434, 2014, 543, 1198, 1557, 585, 2852, 1603, 513, 2014, 543, 1198, 1557, 3340, 11093, 17396, 1305, 540, 2093, 538, 606, 6896, 6752, 538, 2013, 540, 2014, 269, 20531, 543, 1198, 2014, 543, 1198, 568, 2014, 27160, 977, 1646, 949, 2408, 2653, 593, 519, 2627, 950, 538, 1249, 621, 568, 1360, 14053, 519, 2014, 27160, 977, 1557, 563, 290, 1021, 1315, 1198, 1557, 741, 3123, 543, 2360, 519, 2014, 543, 1198, 1557, 6941, 1018, 4523, 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 ]
[ 513, 14854, 979, 1510, 4189, 21314, 547, 979, 1510, 1426, 9775, 2687, 547, 519, 14854, 2249, 543, 875, 621, 568, 17411, 269, 9521, 3636, 15918, 797, 539, 2831, 267, 16015, 666, 946, 782, 2139, 1648, 547, 2226, 741, 6899, 11255, 2837, 269, 570, 4669, 956, 6854, 607, 10130, 2760, 30489, 622, 950, 6854, 16280, 282, 950, 13964, 16015, 30489, 622, 267, 1510, 4189, 4376, 269, 898, 568, 12691, 602, 596, 786, 979, 1510, 1426, 1282, 519, 3905, 974, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 4197, 3776, 2383, 910, 10610, 267, 9650, 267, 543, 13336, 692, 8893, 7170, 281, 24531, 3776, 23433, 5071, 281, 10289, 519, 10417, 540, 16958, 692, 7072, 912, 5970, 596, 2479, 9289, 1946, 930, 1004, 3100, 6923, 1434, 693, 1818, 3664, 1247, 1866, 6560, 609, 873, 286, 2107, 5310, 596, 4312, 8068, 875, 1978, 2238, 8963, 707, 1648, 1247, 789, 10069, 1125, 2576, 3116, 269, 1452, 3604, 666, 581, 14360, 1394, 547, 938, 2189, 1374, 607, 1480, 7919, 1107, 513, 4999, 540, 938, 1560, 267, 2247, 267, 543, 6891, 269, 2913, 781, 4685, 883, 1620, 6000, 1732, 2439, 4089, 476, 272, 281, 645, 3672, 267, 9650, 338, 267, 543, 9454, 1080, 454, 2691, 6158, 827, 4703, 267, 8186, 267, 543, 14326, 267, 1589, 540, 873, 899, 2679, 7161, 602, 1711, 945, 596, 616, 269, 2659, 1560, 2882, 3388, 2168, 827, 596, 267, 971, 607, 707, 4463, 267, 3750, 2681, 267, 543, 1256, 875, 1454, 1648, 596, 723, 2429, 519, 1554, 269, 2659, 2247, 3322, 707, 4555, 267, 4664, 267, 8823, 267, 543, 4987, 269, 14936, 267, 707, 6891, 4016, 547, 707, 2631, 540, 3483, 267, 2418, 267, 4978, 267, 543, 20932, 269, 2353, 1614, 3334, 7683, 2170, 1369, 721, 267, 5935, 938, 2833, 543, 11994, 780, 7078, 281, 5994, 3843, 856, 585, 513, 5026, 2319, 630, 7853, 1070, 4974, 2182, 585, 513, 1449, 630, 332, 785, 1070, 543, 24749, 693, 513, 2199, 12062, 630, 338, 2869, 527, 1040, 3962, 2460, 4249, 513, 1909, 538, 10747, 945, 649, 616, 543, 1018, 2306, 721, 2027, 780, 4089, 476, 273, 281, 16958, 1765, 7312, 17423, 5336, 1136, 13910, 454, 3080, 1271, 1523, 950, 7234, 1560, 267, 2247, 267, 543, 6891, 1927, 568, 6392, 269, 769, 713, 2796, 267, 6392, 3085, 1405, 1611, 2348, 1379, 936, 1866, 855, 2864, 6616, 3054, 1134, 2614, 547, 3972, 707, 1378, 6418, 5583, 269, 1879, 5185, 609, 5079, 267, 1142, 1268, 814, 741, 2189, 1259, 540, 14045, 1759, 593, 741, 9342, 543, 12755, 2066, 782, 1614, 2127, 269, 1635, 9301, 1141, 938, 2067, 15421, 9114, 267, 649, 1451, 547, 7048, 593, 1346, 3344, 540, 6000, 267, 3056, 547, 5923, 518, 3375, 6194, 780, 4131, 781, 1413, 693, 1114, 2010, 540, 8128, 1384, 272, 269, 16508, 16958, 281, 4658, 13461, 593, 3929, 6392, 4043, 547, 2638, 538, 609, 741, 4606, 1354, 1818, 3664, 269, 1358, 1522, 2307, 2933, 2055, 899, 968, 1692, 1281, 713, 3903, 1118, 803, 1745, 9495, 610, 968, 7617, 4781, 24889, 1034, 7184, 609, 1250, 2295, 9495, 1280, 1383, 267, 952, 4280, 2436, 547, 6443, 513, 1007, 8630, 267, 789, 1131, 2015, 1018, 7959, 1318, 14156, 563, 273, 269, 590, 680, 21329, 16958, 281, 8409, 609, 10943, 21329, 6392, 1445, 5097, 593, 741, 8937, 15859, 269, 1403, 1945, 7959, 1055, 610, 1318, 16022, 569, 267, 789, 1246, 602, 1291, 269, 1323, 1383, 1223, 581, 7446, 1063, 1079, 2816, 3091, 282, 835, 949, 2709, 811, 2724, 855, 1745, 1447, 16180, 982, 1776, 4316, 602, 20383, 1732, 609, 2123, 3853, 563, 274, 269, 25827, 16958, 281, 15706, 1210, 7214, 6392, 5659, 3871, 5402, 267, 20604, 5294, 543, 931, 269, 3427, 3785, 543, 6780, 10467, 1419, 1289, 2390, 713, 1106, 540, 6392, 2094, 2565, 3206, 543, 1966, 9010, 1983, 1404, 1898, 5107, 269, 589, 2875, 14045, 799, 1528, 633, 1362, 547, 1491, 1522, 5635, 519, 5396, 267, 3610, 267, 543, 1761, 2591, 2404, 609, 1142, 4781, 563, 275, 269, 8447, 16958, 281, 7053, 267, 972, 616, 2043, 4171, 3119, 2707, 540, 6392, 2501, 689, 741, 2168, 30441, 269, 4256, 4703, 2285, 2312, 6786, 827, 1018, 1568, 1655, 585, 873, 9308, 543, 10069, 13443, 269, 26465, 525, 4749, 946, 2168, 6392, 547, 3313, 2866, 13467, 267, 6051, 2053, 267, 543, 6735, 16131, 780, 12244, 281, 17291, 9608, 8191, 885, 454, 16485, 1053, 547, 2992, 593, 2487, 3664, 789, 1500, 543, 2697, 799, 1826, 4433, 264, 540, 6392, 11461, 873, 269, 11559, 4687, 1851, 9905, 547, 6536, 16614, 5717, 1472, 4763, 538, 3375, 6194, 6163, 780, 6962, 912, 1103, 5758, 267, 1620, 938, 2189, 1374, 607, 3425, 2337, 721, 5660, 519, 6988, 540, 1373, 9800, 269, 20876, 1585, 3029, 540, 6392, 2636, 721, 547, 9784, 23141, 543, 1831, 8746, 3375, 24237, 269, 1924, 1985, 942, 596, 3068, 513, 14196, 267, 23249, 267, 19820, 538, 547, 707, 1560, 267, 2247, 267, 543, 6891, 267, 543, 6432, 5702, 547, 1018, 789, 2995, 596, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 15507, 1826, 281, 1022, 1315, 782, 1315, 8360, 563, 31374, 676, 281, 10083, 1315, 8400, 563, 7830, 269, 274, 7726, 518, 281, 12984, 519, 4323, 3811, 538, 2870, 1022, 2417, 23673, 540, 519, 6293, 779, 2168, 1950, 888, 26244, 281, 594, 993, 14780, 269, 901, 568, 2953, 563, 10037, 269, 274, 7726, 518, 281, 4208, 568, 713, 606, 17149, 12343, 286, 1548, 568, 519, 7271, 540, 3346, 2870, 5957, 1465, 888, 26244, 281, 594, 993, 14780, 269, 634, 7271, 2870, 5957, 1465, 568, 602, 4276, 914, 342, 4869, 519, 5860, 13296, 713, 6293, 779, 2247, 270, 7853, 4882, 2869, 527, 1950, 568, 9108, 6854, 1282, 891, 25029, 543, 519, 15587, 14583, 5860, 538, 799, 519, 6293, 779, 2168, 1560, 1950, 29084, 693, 713, 2230, 270, 5503, 269, 1306, 519, 6293, 3217, 593, 811, 540, 519, 32442, 540, 519, 16889, 5860, 519, 3791, 29213, 1995, 4667, 811, 5230, 543, 5957, 529, 727, 269, 901, 729, 7608, 676, 519, 6293, 267, 607, 621, 5551, 547, 581, 540, 3028, 269, 4475, 267, 649, 3398, 849, 713, 1198, 827, 799, 4986, 540, 799, 649, 616, 3222, 949, 581, 2944, 563, 10436, 269, 274, 7726, 518, 281, 2549, 594, 2953, 538, 14322, 602, 596, 2461, 6340, 540, 1651, 7568, 622, 3791, 29213, 9988, 555, 320, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 645, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 5274, 5071, 1315, 16958, 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, 7982, 950, 594, 729, 538, 2852, 267, 594, 729, 851, 540, 938, 1153, 781, 844, 1342, 3558, 2319, 1107, 9811, 267, 596, 1224, 602, 1318, 267, 844, 1342, 3558, 267, 1175, 899, 538, 16452, 25260, 269, 898, 1185, 1831, 3833, 2442, 593, 3786, 4926, 2066, 519, 2197, 267, 543, 621, 729, 513, 1390, 1259, 585, 803, 547, 9192, 1250, 2648, 585, 5026, 609, 1250, 6612, 585, 562, 518, 323, 2528, 269, 1306, 519, 2319, 23071, 267, 594, 3576, 938, 19194, 12517, 267, 2141, 20678, 547, 1291, 721, 547, 11802, 269, 4438, 835, 4005, 267, 649, 7307, 547, 5150, 513, 5544, 538, 519, 6237, 23594, 4721, 267, 543, 3025, 729, 4278, 2683, 827, 938, 8458, 693, 1818, 621, 547, 4182, 1023, 780, 4913, 267, 1282, 938, 2259, 7886, 3056, 909, 547, 519, 1404, 26160, 267, 594, 7948, 1405, 21199, 1055, 519, 4743, 602, 1945, 7012, 1405, 3833, 1318, 1369, 938, 2319, 6422, 269, 1284, 941, 15877, 602, 8141, 267, 602, 22122, 602, 1500, 721, 1796, 856, 1354, 269, 1924, 267, 594, 15054, 519, 2243, 547, 8885, 543, 938, 2319, 2818, 281, 834, 1432, 9283, 1281, 519, 2319, 991, 547, 1118, 538, 1931, 547, 581, 8013, 538, 519, 1404, 26160, 8119, 9122, 593, 1250, 1995, 607, 606, 28048, 10178, 540, 1585, 5026, 267, 594, 6785, 972, 941, 1896, 2127, 1141, 649, 1223, 2087, 267, 971, 607, 9395, 2287, 909, 938, 8878, 267, 5807, 1732, 2319, 7998, 267, 543, 28798, 938, 25213, 269, 1809, 1018, 1705, 1250, 8284, 844, 3530, 548, 669, 553, 619, 267, 10726, 619, 267, 1832, 619, 267, 543, 32339, 1589, 2496, 7628, 938, 1985, 2319, 5870, 267, 594, 8118, 519, 6989, 585, 10372, 269, 2290, 540, 938, 669, 553, 619, 12038, 909, 1101, 267, 11021, 602, 649, 6451, 811, 17872, 24200, 883, 938, 2853, 2094, 1352, 5433, 938, 17837, 1522, 17908, 602, 8467, 269, 6271, 4759, 16079, 539, 1200, 4555, 855, 3773, 602, 2324, 593, 938, 8429, 3014, 1131, 948, 7794, 1312, 938, 25213, 543, 8878, 269, 589, 581, 831, 6069, 602, 789, 960, 1927, 811, 5702, 865, 789, 1223, 11282, 1732, 1996, 15852, 10726, 619, 543, 2149, 938, 2319, 10863, 8876, 519, 844, 3530, 956, 269, 3776, 1183, 4177, 8815, 543, 1256, 6700, 2348, 12353, 4640, 11401, 3544, 540, 2834, 2853, 780, 2171, 8045, 891, 2242, 5612, 543, 3323, 7487, 2318, 2164, 3592, 14678, 269, 12243, 27907, 4824, 13497, 282, 1142, 6345, 5433, 12595, 543, 4862, 267, 6616, 789, 8329, 2093, 547, 3986, 938, 7104, 2773, 269, 1548, 13351, 803, 1034, 2429, 713, 1184, 729, 875, 6220, 2609, 689, 2757, 5026, 630, 321, 21392, 8878, 267, 6793, 16542, 264, 5916, 16900, 609, 4509, 519, 627, 15501, 673, 6891, 540, 844, 1342, 3558, 2813, 513, 2189, 11100, 540, 6735, 543, 23274, 780, 3719, 1287, 3357, 519, 6397, 4729, 6335, 910, 1079, 4374, 1354, 3148, 1023, 267, 938, 5182, 669, 6471, 838, 11712, 1200, 21721, 1282, 2866, 269, 901, 1305, 3724, 12219, 547, 3541, 841, 938, 11610, 543, 5732, 1942, 721, 938, 4960, 693, 12721, 3927, 1510, 835, 540, 938, 16999, 7221, 269, 769, 3210, 267, 1776, 2319, 22940, 22283, 4464, 267, 24749, 547, 1491, 593, 3606, 9021, 5103, 2760, 2348, 5129, 519, 2990, 1354, 269, 2060, 1152, 2395, 2451, 2394, 519, 29658, 267, 1352, 13736, 24091, 267, 1565, 519, 1202, 543, 16080, 540, 519, 1909, 1247, 6462, 676, 1200, 2319, 10863, 945, 6035, 5583, 543, 19015, 780, 4263, 3148, 1023, 267, 938, 26016, 1242, 2319, 7152, 7415, 6043, 267, 13916, 267, 543, 9322, 269, 2755, 824, 15712, 14229, 1229, 693, 721, 1813, 547, 519, 23349, 2470, 540, 938, 7328, 267, 649, 17947, 938, 22464, 543, 5059, 593, 4730, 5100, 267, 7580, 3756, 269, 6736, 1373, 519, 896, 323, 9233, 267, 649, 25295, 6788, 267, 6038, 17516, 2034, 1747, 543, 15980, 6000, 513, 10874, 628, 693, 519, 3084, 23594, 4721, 780, 8269, 22162, 593, 713, 3460, 4547, 8521, 3407, 4030, 827, 5718, 267, 5698, 267, 543, 20408, 9465, 269, 1635, 8362, 6947, 547, 1250, 2319, 10863, 262, 5380, 267, 649, 15217, 4857, 2127, 17596, 6454, 543, 25282, 3435, 3358, 547, 938, 9342, 543, 12755, 269, 5015, 267, 16779, 1169, 1367, 547, 3565, 543, 1451, 689, 835, 1776, 16916, 513, 11215, 1604, 12082, 538, 3972, 543, 2463, 269, 1656, 6368, 267, 29270, 14488, 2212, 6823, 998, 5647, 543, 16177, 3366, 547, 1967, 3564, 1018, 1022, 540, 721, 7620, 16545, 2009, 780, 1607, 1995, 18674, 519, 10206, 602, 1100, 2339, 519, 2796, 610, 6381, 267, 10115, 942, 543, 4674, 883, 1582, 21553, 2889, 22777, 543, 10319, 2208, 11729, 11141, 27993, 269, 6787, 12721, 593, 513, 1908, 326, 5573, 844, 1342, 3558, 12334, 610, 10188, 1272, 781, 2591, 267, 16042, 2042, 609, 7279, 267, 22371, 267, 543, 8990, 533, 2314, 519, 1259, 2509, 8236, 6209, 24984, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 666, 581, 1031, 7258, 570, 11624, 4825, 20995, 10657, 585, 6044, 543, 1489, 563, 299, 3089, 1176, 267, 1082, 666, 2661, 609, 741, 13046, 607, 621, 949, 1152, 2049, 12212, 543, 5924, 568, 5266, 9602, 267, 855, 585, 930, 519, 13046, 568, 865, 21898, 16341, 267, 4049, 543, 7920, 602, 621, 11874, 7506, 741, 3232, 1272, 547, 513, 1360, 1804, 8831, 269, 1280, 1346, 1004, 267, 621, 568, 1360, 2067, 547, 1413, 585, 513, 10826, 602, 666, 1118, 519, 13046, 979, 2476, 910, 610, 693, 2547, 2569, 621, 563, 288, 5868, 540, 13046, 568, 1759, 2390, 8446, 540, 8984, 2589, 267, 513, 2143, 3461, 1686, 267, 513, 9488, 4791, 6268, 543, 2347, 24384, 11043, 4152, 269, 1452, 3268, 786, 948, 547, 16174, 24754, 13046, 689, 1875, 8573, 15219, 6193, 13046, 269, 898, 3112, 581, 21467, 332, 3508, 1242, 602, 13046, 568, 513, 10835, 540, 1776, 5817, 2783, 543, 711, 513, 5868, 538, 543, 540, 3294, 269, 5221, 540, 519, 1164, 1297, 540, 5817, 3123, 540, 13046, 267, 513, 3099, 540, 7463, 4255, 547, 3713, 519, 1808, 2014, 949, 581, 2556, 269, 28055, 532, 547, 2697, 519, 5817, 2014, 540, 13046, 568, 519, 1101, 1900, 538, 10442, 513, 1268, 609, 13046, 563, 1103, 1840, 547, 8156, 2404, 2042, 630, 7945, 607, 4965, 610, 20026, 1070, 972, 616, 1896, 2994, 602, 666, 948, 1118, 13046, 1447, 21898, 16341, 269, 3143, 2582, 1935, 1568, 585, 3025, 267, 543, 596, 949, 991, 547, 2119, 1585, 10659, 540, 2553, 1354, 596, 1265, 1018, 1568, 585, 596, 269, 1403, 596, 723, 2085, 5829, 6217, 2530, 267, 513, 6217, 5351, 666, 1419, 1118, 13046, 1447, 18476, 676, 7586, 4328, 3544, 4992, 563, 763, 3169, 6211, 1184, 676, 799, 6217, 2530, 568, 2404, 609, 13046, 568, 1869, 1373, 11567, 676, 3173, 269, 1717, 267, 649, 798, 917, 602, 519, 2530, 540, 1978, 3280, 12451, 5012, 547, 1808, 2242, 538, 875, 519, 2634, 3157, 3280, 269, 769, 2110, 267, 607, 519, 2634, 11392, 1447, 5007, 15128, 1472, 513, 1808, 4908, 267, 621, 5956, 547, 3082, 543, 1689, 269, 570, 11624, 949, 581, 519, 2634, 779, 1259, 540, 11423, 538, 519, 7508, 3280, 12451, 621, 1100, 3476, 11392, 689, 519, 17391, 1062, 563, 26452, 2553, 666, 948, 1118, 13046, 7109, 762, 267, 4352, 519, 2702, 547, 20496, 621, 9775, 689, 1268, 547, 1268, 269, 3509, 1004, 1265, 602, 4282, 3280, 2337, 9633, 519, 13046, 543, 2337, 873, 2887, 18069, 269, 2368, 1004, 1404, 4282, 2575, 269, 4033, 1004, 946, 513, 13046, 9633, 518, 267, 799, 568, 513, 3926, 12816, 899, 513, 6217, 5351, 602, 7472, 513, 3586, 1377, 540, 9243, 4992, 269, 1280, 519, 25340, 18555, 267, 606, 15498, 538, 519, 31882, 548, 320, 630, 1492, 1418, 540, 6217, 264, 949, 2569, 13046, 855, 568, 1152, 2944, 585, 1004, 609, 4049, 547, 7096, 6217, 2530, 538, 1312, 10772, 269, 1403, 891, 3044, 2553, 616, 711, 5363, 267, 1004, 949, 1616, 547, 3343, 2126, 538, 19190, 602, 20647, 538, 519, 2126, 540, 13046, 563, 29128, 5063, 267, 1034, 13046, 2550, 1185, 2370, 2601, 547, 3494, 7189, 1131, 2479, 581, 2111, 547, 4625, 10826, 610, 9258, 519, 3413, 997, 5406, 269, 10684, 11257, 1185, 9846, 8959, 267, 543, 865, 1185, 811, 12362, 5773, 2443, 1519, 930, 23361, 547, 4894, 519, 17391, 8229, 602, 18993, 1080, 3280, 689, 519, 1274, 547, 519, 2634, 267, 2687, 547, 2250, 1382, 269, 630, 272, 267, 273, 994, 290, 691, 3019, 540, 519, 1647, 1274, 6029, 6091, 602, 8936, 547, 522, 1087, 2873, 630, 792, 7633, 1070, 543, 1274, 14941, 269, 634, 588, 777, 2664, 639, 568, 7923, 547, 519, 588, 16747, 630, 1993, 1576, 4534, 9640, 21539, 1843, 1657, 1070, 1247, 519, 21723, 1119, 332, 3966, 328, 568, 7923, 547, 519, 1274, 14941, 269, 2755, 3730, 267, 581, 3222, 602, 972, 616, 2789, 6959, 538, 713, 14745, 689, 700, 1195, 7637, 6481, 3427, 269, 2060, 10479, 267, 689, 281, 5291, 2517, 4178, 269, 4364, 1372, 534, 7456, 1075, 12975, 15828, 18210, 270, 4364, 539, 17320, 1484, 534, 10532, 270, 4134, 572, 2758, 8276, 6447, 270, 30502, 23995, 777, 27970, 454, 28606, 4027, 666, 11574, 519, 2942, 2360, 540, 10978, 21089, 543, 2061, 519, 12615, 566, 540, 13046, 269, 901, 568, 2523, 1271, 952, 596, 960, 538, 513, 10978, 1604, 610, 5781, 3643, 10978, 4025, 267, 899, 15246, 9832, 267, 30145, 267, 543, 15731, 269, 654, 8960, 2688, 1274, 680, 13903, 610, 2027, 1274, 332, 32332, 666, 979, 513, 1279, 1259, 4724, 7303, 707, 13046, 689, 29083, 563, 307, 11624, 666, 581, 9228, 538, 835, 610, 1312, 10772, 610, 538, 519, 2212, 269, 898, 568, 519, 6609, 540, 513, 6846, 3330, 513, 1268, 779, 2212, 538, 519, 9000, 540, 17391, 14242, 269, 634, 6846, 666, 581, 4330, 538, 1082, 1114, 2081, 269, 898, 568, 2356, 4330, 607, 513, 30366, 6846, 855, 267, 538, 930, 2550, 267, 621, 3217, 519, 1106, 540, 513, 1164, 1790, 17097, 627, 1456, 267, 3167, 18388, 532, 267, 1010, 28410, 267, 23832, 267, 512, 15781, 610, 627, 626, 1782, 3280, 610, 607, 8743, 532, 267, 14467, 267, 887, 2130, 267, 834, 322, 4459, 1115, 257, 610, 834, 29728, 20883, 257, 610, 834, 32643, 755, 338, 630, 322, 545, 27885, 264, 2580, 26107, 267, 8964, 267, 581, 9429, 267, 521, 11170, 1782, 267, 4992, 602, 5594, 18613, 1480, 9739, 610, 1256, 513, 6986, 11931, 3159, 899, 602, 4862, 1282, 513, 6217, 1449, 269, 898, 814, 849, 1044, 4330, 607, 513, 834, 15367, 657, 3107, 257, 3280, 1317, 540, 8650, 4887, 838, 553, 916, 267, 607, 540, 2842, 610, 6329, 16804, 2254, 538, 11239, 2016, 316, 570, 11624, 666, 581, 26740, 610, 6024, 281, 538, 519, 8545, 2013, 267, 621, 666, 581, 519, 2014, 540, 1390, 11605, 269, 769, 930, 2043, 267, 519, 8515, 666, 581, 4957, 676, 13105, 267, 2212, 267, 11469, 267, 10265, 610, 3750, 5322, 269, 4107, 1004, 609, 13046, 723, 930, 4110, 540, 6217, 2530, 563, 29730, 13808, 543, 2620, 2634, 14242, 269, 12824, 723, 4767, 30759, 538, 8849, 5121, 1310, 20392, 519, 1274, 547, 7920, 6846, 269, 4197, 4481, 1141, 538, 519, 2634, 713, 30759, 5956, 543, 875, 621, 19082, 547, 824, 2127, 1223, 1291, 547, 5574, 602, 946, 2620, 2634, 14242, 547, 9350, 519, 8849, 5121, 543, 2569, 13046, 563, 7197, 13046, 568, 16148, 267, 2495, 602, 1152, 596, 666, 5873, 519, 6846, 269, 1809, 3006, 621, 781, 6662, 267, 2495, 602, 2576, 3116, 666, 5873, 621, 267, 1932, 269, 1280, 1383, 267, 952, 596, 723, 513, 2295, 9597, 332, 584, 267, 596, 949, 5873, 513, 945, 657, 3107, 3280, 609, 1169, 26470, 282, 707, 3714, 6509, 666, 849, 5873, 602, 3280, 998, 513, 588, 996, 24005, 269, 2368, 1004, 5873, 741, 26470, 3330, 519, 1274, 2443, 513, 7613, 1572, 24421, 8684, 13046, 269, 898, 781, 811, 2693, 547, 4755, 538, 4587, 1004, 267, 1317, 1973, 2095, 11148, 547, 581, 811, 24360, 538, 16209, 4171, 6821, 723, 13888, 2989, 609, 2085, 269, 623, 6160, 8684, 13046, 949, 581, 811, 18476, 693, 3781, 267, 950, 596, 2811, 14084, 538, 5127, 543, 972, 616, 7864, 5007, 4992, 547, 9633, 519, 13046, 269, 1403, 596, 5469, 1022, 1007, 24421, 8684, 13046, 267, 596, 1058, 5077, 513, 3714, 6509, 267, 1317, 538, 4686, 2665, 621, 568, 513, 1129, 540, 513, 10510, 610, 1973, 6077, 3441, 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 ]
[ 0, 2690, 713, 3923, 779, 20171, 649, 2219, 649, 8910, 4183, 3212, 778, 29154, 321, 2401, 547, 1205, 721, 883, 519, 2887, 6891, 269, 634, 16713, 11860, 12436, 6874, 1410, 553, 21805, 267, 849, 1634, 607, 519, 15576, 344, 267, 1185, 513, 11600, 585, 519, 8670, 602, 649, 786, 2671, 609, 596, 693, 519, 1439, 540, 713, 2022, 563, 290, 984, 321, 2401, 10346, 979, 1394, 547, 519, 7810, 8129, 540, 3013, 269, 634, 21152, 267, 15877, 519, 5820, 585, 513, 2650, 267, 968, 322, 984, 16940, 892, 1927, 1018, 789, 1185, 593, 1688, 269, 1358, 1031, 8726, 4829, 729, 2139, 538, 519, 1858, 267, 971, 607, 890, 2851, 267, 543, 6151, 536, 4593, 3726, 14859, 602, 789, 5116, 593, 1283, 540, 519, 4829, 267, 1287, 11273, 873, 936, 606, 1930, 18723, 269, 634, 1439, 1267, 1185, 513, 11315, 267, 1257, 3293, 2627, 602, 949, 723, 2016, 519, 8670, 922, 2012, 269, 634, 2245, 540, 5986, 4829, 543, 6151, 14859, 936, 1930, 18723, 4797, 607, 13896, 6410, 31023, 543, 8246, 27574, 890, 2851, 585, 519, 8670, 563, 8248, 2851, 849, 3357, 547, 3013, 1282, 7810, 2053, 267, 950, 5053, 26112, 4547, 873, 547, 8419, 538, 519, 476, 5611, 271, 338, 269, 634, 4054, 3262, 538, 519, 1296, 2094, 267, 799, 568, 1946, 972, 941, 890, 2851, 538, 9098, 950, 21152, 1101, 8452, 538, 11918, 652, 1144, 538, 476, 8182, 278, 269, 3212, 2851, 616, 711, 1175, 513, 8828, 20013, 267, 2705, 269, 1306, 1082, 540, 596, 949, 917, 267, 938, 1360, 1378, 6022, 529, 1228, 890, 2851, 538, 12548, 616, 556, 852, 333, 2429, 519, 2136, 2276, 585, 741, 6653, 267, 30861, 8137, 563, 8248, 778, 3395, 267, 543, 4829, 3395, 538, 2489, 267, 2968, 513, 29988, 1870, 538, 6022, 529, 1228, 538, 519, 476, 6642, 271, 338, 950, 3627, 4498, 869, 1101, 12630, 543, 1287, 4121, 547, 6707, 11125, 622, 543, 6992, 1125, 519, 2244, 585, 4829, 4054, 269, 634, 2916, 538, 519, 3148, 14014, 519, 4829, 689, 5614, 1863, 8240, 267, 543, 519, 15911, 2395, 543, 16830, 17334, 1683, 519, 4829, 609, 811, 8137, 269, 1306, 519, 4829, 2968, 2442, 267, 519, 16456, 338, 941, 1031, 547, 1205, 873, 547, 2344, 563, 1103, 519, 1433, 634, 3778, 540, 21805, 338, 538, 6022, 529, 1228, 267, 12548, 20917, 11023, 1782, 6257, 875, 6022, 529, 1228, 1031, 519, 12548, 11068, 1633, 538, 519, 476, 6245, 271, 338, 547, 1101, 6928, 519, 4829, 269, 4676, 3419, 23306, 4216, 322, 1513, 267, 610, 968, 872, 325, 619, 892, 941, 4904, 609, 4672, 630, 6518, 729, 19122, 689, 13792, 12647, 538, 519, 10239, 1282, 519, 5162, 264, 538, 9835, 808, 4233, 1287, 4547, 547, 6022, 529, 1228, 1141, 789, 941, 4904, 609, 519, 890, 2851, 269, 4438, 519, 476, 4198, 271, 338, 267, 693, 519, 4463, 540, 519, 7556, 267, 936, 3368, 513, 2929, 1668, 515, 3149, 540, 890, 2851, 8977, 539, 6022, 529, 1228, 538, 476, 274, 267, 1822, 11818, 619, 269, 769, 1249, 267, 972, 941, 865, 1082, 11818, 619, 602, 789, 941, 6288, 539, 585, 5195, 2059, 7404, 521, 573, 902, 607, 972, 729, 24076, 3116, 585, 873, 547, 979, 269, 1635, 519, 476, 3192, 271, 338, 4829, 729, 1100, 3476, 25855, 3842, 7841, 267, 855, 538, 14023, 730, 10859, 2389, 745, 4242, 563, 2171, 4126, 596, 10150, 519, 9867, 1686, 540, 890, 2851, 543, 890, 778, 25865, 321, 2401, 267, 543, 519, 11600, 2630, 256, 1403, 596, 798, 2119, 621, 267, 5225, 581, 2386, 547, 1577, 721, 917, 538, 519, 8292, 610, 593, 1022, 540, 938, 1514, 2923, 6589, 563, 298, 520, 344, 3212, 778, 29154, 321, 2401, 454, 16006, 7484, 7912, 454, 273, 11680, 30000, 890, 2851, 454, 272, 29537, 5394, 11273, 7148, 328, 10087, 454, 16006, 7484, 5144, 454, 272, 476, 26528, 23188, 11256, 8869, 454, 16006, 13306, 7423, 454, 9743, 15297, 281, 16259, 4402, 1210, 7912, 267, 835, 28451, 7484, 4006, 267, 835, 28451, 7484, 5144, 267, 543, 11256, 8869, 269, 631, 3881, 7423, 538, 11256, 3443, 543, 13248, 519, 4402, 936, 519, 1283, 540, 519, 7423, 269, 5410, 835, 21017, 7484, 4006, 547, 6094, 569, 30000, 890, 2851, 543, 3575, 538, 476, 272, 270, 279, 628, 23188, 30288, 1349, 543, 835, 29537, 540, 6094, 11273, 7148, 328, 10087, 269, 32449, 519, 890, 778, 7848, 936, 519, 4402, 543, 27106, 693, 476, 6110, 5232, 585, 5111, 476, 3374, 3764, 269, 4438, 11256, 267, 519, 4402, 786, 4473, 547, 519, 1283, 269, 4419, 525, 2185, 563, 291, 1456, 593, 519, 681, 5661, 4864, 476, 1708, 273, 281, 4446, 2041, 4302, 454, 291, 1456, 593, 519, 681, 5661, 5147, 476, 1708, 273, 281, 13738, 24410, 339, 454, 291, 1456, 593, 519, 681, 5661, 4873, 476, 1708, 273, 281, 16202, 899, 513, 20122, 334, 2336, 291, 1456, 593, 519, 681, 5661, 281, 2904, 476, 1708, 273, 1107, 12624, 779, 4303, 1744, 597, 1042, 28096, 454, 291, 1456, 593, 519, 681, 5661, 281, 4989, 476, 1708, 273, 1107, 1215, 827, 513, 8799, 6196, 22960, 539, 888, 291, 1456, 593, 519, 681, 5661, 281, 4728, 476, 1708, 273, 1107, 3943, 1677, 770, 267, 25175, 888, 291, 1456, 593, 519, 681, 5661, 281, 5988, 476, 1708, 273, 1107, 589, 28688, 344, 27223, 779, 6164, 2336, 291, 1456, 593, 519, 681, 5661, 281, 5130, 476, 1708, 273, 1107, 5375, 7414, 623, 1251, 570, 2658, 5979, 514, 454, 291, 1456, 593, 519, 681, 5661, 281, 5412, 476, 1708, 272, 1107, 595, 3757, 9440, 28397, 576, 454, 291, 1456, 593, 519, 681, 5661, 281, 5437, 476, 1708, 272, 1107, 744, 344, 3122, 853, 4428, 532, 2336, 291, 1456, 593, 519, 681, 5661, 281, 5239, 476, 1708, 272, 1107, 26560, 8000, 26629, 454, 291, 1456, 593, 519, 681, 5661, 281, 5181, 476, 1708, 272, 1107, 932, 8270, 454, 291, 1456, 593, 519, 681, 5661, 281, 4864, 476, 1708, 272, 1107, 29553, 2006, 968, 25402, 19811, 892, 595, 1442, 18571, 454, 291, 1456, 593, 519, 681, 5661, 281, 4873, 1107, 1215, 827, 513, 19997, 888, 291, 1456, 593, 519, 681, 5661, 1107, 2311, 577, 2581, 267, 570, 2100, 6390, 1299, 13244, 3171, 8621, 2336, 291, 1456, 593, 519, 681, 5661, 281, 595, 6020, 261, 303, 779, 1715, 4789, 4425, 6150, 20550, 1676, 454, 291, 1456, 593, 519, 681, 5661, 281, 589, 21690, 6164, 585, 707, 27223, 2336, 291, 1456, 593, 519, 681, 5661, 281, 4563, 661, 26191, 3212, 553, 2336, 291, 1456, 593, 519, 681, 5661, 281, 17378, 333, 690, 454, 291, 1456, 593, 519, 681, 5661, 281, 8414, 21175, 2336, 291, 1456, 593, 519, 681, 5661, 281, 5742, 7414, 11197, 26629, 454, 291, 1456, 593, 519, 681, 5661, 267, 4864, 476, 1708, 271, 454, 291, 1456, 593, 519, 681, 5661, 267, 5147, 476, 1708, 271, 454, 291, 1456, 593, 519, 681, 5661, 267, 4873, 476, 1691, 267, 476, 1708, 271, 454, 291, 1456, 593, 519, 681, 5661, 267, 4873, 476, 278, 267, 476, 1708, 271, 454, 291, 1456, 593, 519, 681, 5661, 267, 2904, 476, 4029, 267, 476, 1708, 271, 454, 291, 1456, 593, 519, 681, 5661, 267, 2904, 476, 2190, 267, 476, 1708, 271, 454, 291, 1456, 593, 519, 681, 5661, 267, 2904, 476, 1704, 267, 476, 1708, 271, 454, 291, 1456, 593, 519, 681, 5661, 267, 2904, 476, 1015, 267, 476, 1708, 271, 454, 291, 1456, 593, 519, 681, 5661, 267, 2904, 476, 274, 267, 476, 1708, 271, 454, 291, 1456, 593, 519, 681, 5661, 267, 4989, 476, 2918, 267, 476, 1708, 271, 454, 291, 1456, 593, 519, 681, 5661, 267, 4989, 476, 866, 267, 476, 1708, 271, 454, 291, 1456, 593, 519, 681, 5661, 267, 4989, 476, 1321, 267, 476, 1708, 271, 0, 21980, 766, 585, 19737, 4578, 10866, 454, 763, 2179, 540, 1239, 1373, 3812, 2221, 568, 31417, 267, 543, 621, 779, 1152, 2469, 547, 3136, 547, 1332, 269, 2060, 782, 540, 713, 1239, 267, 621, 779, 1271, 547, 723, 513, 1239, 2359, 4640, 538, 1747, 269, 589, 1434, 1239, 2359, 4640, 1058, 1331, 513, 1184, 585, 4180, 543, 4509, 1239, 2298, 269, 5901, 2542, 585, 5583, 593, 5883, 1239, 2298, 563, 1432, 568, 1239, 2298, 888, 10574, 2298, 814, 1044, 513, 6161, 585, 3906, 585, 1082, 1296, 269, 1703, 616, 1585, 8847, 540, 1239, 2298, 267, 855, 782, 723, 519, 1482, 3804, 281, 547, 2327, 602, 1239, 568, 3514, 585, 922, 5497, 3483, 269, 634, 4578, 26291, 4659, 11225, 1239, 2298, 607, 968, 1492, 8516, 585, 946, 540, 1344, 1848, 769, 824, 1913, 267, 1239, 568, 1152, 3730, 952, 621, 568, 4977, 267, 2347, 267, 543, 5812, 563, 2467, 616, 1896, 2188, 602, 3565, 547, 1239, 2298, 269, 6452, 5596, 1797, 602, 519, 1239, 568, 2953, 543, 909, 547, 4266, 269, 7388, 28467, 1797, 602, 782, 519, 4143, 1344, 568, 3769, 269, 3117, 29548, 1797, 602, 519, 1239, 568, 30149, 543, 6896, 538, 513, 1259, 602, 2306, 621, 2653, 547, 946, 563, 3963, 568, 1239, 2298, 1271, 888, 10574, 2298, 568, 1271, 1317, 621, 666, 1860, 1082, 3344, 540, 606, 3919, 267, 1519, 3375, 6194, 267, 1587, 2298, 267, 543, 6075, 9547, 269, 18648, 1239, 2298, 666, 849, 1291, 547, 25619, 1344, 1373, 6933, 730, 2429, 606, 3919, 267, 799, 666, 1287, 1764, 1870, 3157, 543, 2773, 563, 10574, 2298, 2359, 568, 1898, 585, 4180, 602, 1239, 568, 4977, 543, 6325, 269, 1703, 616, 1896, 2188, 602, 991, 547, 581, 2808, 538, 2298, 2359, 267, 1519, 519, 1826, 540, 1239, 267, 875, 621, 568, 6394, 267, 543, 519, 5301, 585, 799, 621, 786, 581, 1031, 563, 1432, 2188, 1860, 519, 2298, 540, 1239, 888, 2414, 2087, 519, 2298, 540, 707, 1239, 267, 596, 991, 547, 1174, 1018, 5540, 621, 269, 634, 1614, 1292, 2188, 616, 2707, 1239, 267, 1184, 3268, 267, 543, 3977, 2164, 269, 11905, 1239, 666, 581, 18348, 539, 676, 11234, 610, 31360, 1344, 1247, 1184, 3268, 666, 6338, 538, 3147, 340, 20874, 998, 1480, 5470, 610, 25768, 7954, 269, 19243, 2164, 949, 711, 581, 4977, 952, 789, 616, 1759, 593, 25619, 3403, 1239, 563, 2414, 2327, 1434, 1239, 2298, 267, 596, 991, 547, 723, 513, 1544, 538, 1747, 585, 5883, 621, 2429, 922, 3003, 29488, 269, 901, 2882, 4259, 4441, 585, 11807, 2157, 540, 6111, 267, 1264, 28467, 267, 543, 11007, 267, 607, 1134, 607, 2870, 3157, 543, 5773, 585, 4509, 891, 4441, 269, 898, 779, 849, 1271, 547, 723, 2834, 8039, 547, 2697, 1022, 2042, 609, 519, 1239, 543, 1491, 30997, 2962, 563, 1103, 1840, 267, 3906, 1058, 723, 513, 1544, 585, 7231, 609, 6397, 2242, 538, 741, 1239, 5036, 267, 971, 607, 12388, 619, 610, 4203, 29792, 269, 1635, 2921, 3268, 547, 4383, 543, 2087, 519, 2298, 540, 1239, 267, 3906, 666, 7413, 519, 2942, 1764, 602, 4057, 1239, 666, 723, 593, 741, 1870, 4238, 563, 1692, 666, 519, 2298, 540, 1239, 581, 4824, 888, 763, 1184, 5956, 676, 7114, 519, 1870, 6859, 602, 1239, 2298, 6454, 786, 1489, 269, 901, 568, 4553, 676, 12570, 519, 1699, 1533, 540, 1239, 2298, 267, 3384, 513, 1544, 547, 2087, 621, 267, 543, 7598, 519, 1544, 269, 744, 32054, 5464, 543, 6454, 616, 1287, 2556, 547, 2327, 602, 1239, 5170, 547, 2743, 1870, 2115, 563, 19617, 2730, 2409, 666, 581, 1031, 547, 2087, 519, 2298, 540, 1239, 267, 971, 607, 26349, 543, 3044, 1944, 3403, 1239, 267, 2357, 4328, 3977, 2164, 267, 543, 1210, 11974, 4548, 547, 2697, 6959, 269, 898, 568, 849, 1271, 547, 723, 513, 1184, 538, 1747, 585, 7231, 609, 18348, 539, 610, 11234, 1239, 563, 3080, 1259, 547, 2087, 1239, 2298, 568, 676, 16107, 27034, 269, 5450, 20631, 568, 1239, 827, 1239, 267, 543, 621, 666, 581, 1031, 547, 948, 2697, 543, 2953, 2042, 609, 1239, 5036, 269, 1280, 1383, 267, 27034, 666, 581, 1031, 547, 3950, 2242, 547, 1239, 936, 942, 543, 547, 2697, 26134, 610, 22522, 5638, 563, 14454, 267, 1239, 2298, 2359, 568, 513, 2565, 1184, 269, 589, 1434, 1239, 2359, 1544, 1058, 1331, 513, 4640, 585, 8236, 543, 4509, 1239, 2298, 267, 607, 1134, 607, 875, 547, 2697, 543, 4368, 1239, 2298, 2152, 269, 3958, 267, 3906, 1058, 1020, 513, 1239, 2298, 6454, 1544, 267, 799, 666, 948, 547, 2327, 602, 1239, 568, 9846, 4977, 543, 6325, 269, 0, 763, 1367, 11353, 666, 581, 2901, 1164, 610, 1970, 267, 4470, 593, 1018, 3926, 596, 616, 5466, 267, 2436, 596, 1616, 547, 1224, 610, 2328, 543, 519, 4890, 1239, 602, 568, 1224, 11320, 9287, 563, 4131, 781, 1101, 2015, 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 ]
[ 2048, 333, 685, 585, 799, 476, 277, 333, 7475, 609, 519, 7857, 2048, 271, 685, 7790, 9617, 1518, 707, 2626, 563, 1556, 269, 20028, 1063, 1269, 288, 13375, 3287, 11971, 9368, 7751, 543, 1269, 289, 13375, 8987, 275, 267, 278, 9368, 7751, 568, 4399, 6912, 346, 6078, 4151, 2073, 4855, 1269, 343, 20728, 3189, 24264, 346, 271, 269, 1704, 655, 3686, 663, 20728, 3189, 24264, 346, 271, 269, 1704, 655, 3686, 344, 259, 1547, 1403, 1269, 288, 20728, 346, 262, 348, 338, 259, 3921, 3729, 568, 4278, 823, 540, 922, 2612, 322, 20811, 563, 1321, 269, 634, 12980, 1611, 540, 513, 1305, 540, 476, 2412, 2418, 568, 476, 4792, 269, 1403, 1142, 540, 519, 476, 2412, 2418, 568, 2799, 676, 476, 276, 267, 1018, 786, 581, 519, 1611, 540, 519, 1305, 540, 1007, 2418, 2496, 4089, 910, 595, 692, 1724, 269, 1403, 1269, 320, 3189, 9507, 346, 6523, 3686, 3867, 274, 4153, 9507, 346, 383, 492, 382, 372, 15396, 274, 20728, 3189, 24264, 346, 271, 269, 1704, 655, 3686, 320, 315, 9507, 346, 6523, 4153, 9507, 346, 383, 492, 382, 372, 20467, 3189, 9507, 346, 7562, 3686, 3867, 273, 4153, 9507, 346, 383, 492, 382, 372, 13157, 332, 20728, 3189, 24264, 346, 271, 269, 1704, 655, 3686, 663, 20728, 3189, 24264, 346, 271, 269, 1704, 655, 3686, 320, 3189, 9507, 346, 7562, 3686, 3867, 274, 4153, 9507, 346, 383, 492, 382, 372, 15396, 274, 20728, 3189, 24264, 346, 271, 269, 1704, 655, 3686, 320, 3189, 9507, 346, 6523, 3686, 3867, 273, 4153, 9507, 346, 383, 492, 382, 372, 20467, 315, 9507, 346, 7562, 4153, 9507, 346, 383, 492, 382, 372, 13157, 333, 259, 2073, 28171, 602, 12276, 3847, 9852, 266, 333, 9368, 264, 23685, 2765, 346, 273, 2410, 274, 3686, 266, 3189, 3847, 9852, 5991, 9368, 264, 23685, 2765, 346, 273, 2410, 274, 3686, 284, 273, 21151, 23685, 2765, 346, 273, 2410, 274, 3686, 14204, 1691, 269, 28171, 602, 952, 519, 4463, 540, 513, 13486, 543, 519, 3845, 540, 519, 1448, 540, 8343, 689, 922, 3723, 267, 1312, 616, 2799, 676, 476, 1015, 4939, 2073, 1287, 519, 5086, 540, 15038, 540, 922, 1283, 3788, 24240, 563, 1428, 269, 8058, 602, 4399, 2765, 346, 541, 13375, 7268, 9507, 346, 383, 492, 892, 348, 27398, 9368, 20972, 541, 13375, 7268, 9507, 346, 383, 492, 892, 348, 291, 6195, 9368, 14587, 7807, 2765, 31505, 302, 2410, 23077, 4151, 2073, 952, 538, 519, 2016, 4137, 267, 13235, 543, 667, 6195, 616, 1079, 12730, 593, 519, 1482, 3490, 7460, 2073, 604, 5084, 12969, 338, 693, 744, 563, 1626, 269, 634, 7516, 540, 513, 17285, 7750, 1355, 616, 476, 1911, 4699, 1535, 476, 3199, 4699, 1535, 476, 5038, 4699, 20193, 568, 24268, 543, 973, 770, 883, 513, 13306, 269, 8340, 519, 2627, 1858, 540, 519, 13306, 563, 1704, 269, 4855, 519, 5072, 540, 1269, 275, 12757, 8703, 273, 18511, 1626, 13375, 9638, 268, 336, 9368, 32589, 10954, 3847, 263, 1428, 22669, 8703, 273, 18511, 4097, 335, 336, 266, 1428, 346, 336, 8703, 273, 4153, 2431, 6661, 271, 14204, 1240, 269, 589, 9126, 3568, 476, 1626, 11084, 856, 540, 799, 1269, 343, 259, 616, 3039, 269, 1403, 476, 279, 811, 3039, 11084, 616, 2322, 538, 519, 9126, 267, 519, 5506, 540, 5373, 513, 3039, 3440, 786, 581, 5595, 982, 602, 4399, 2765, 12757, 2410, 1626, 4151, 2073, 1265, 1269, 343, 259, 4586, 866, 269, 1403, 519, 2798, 4399, 3847, 9638, 267, 336, 9368, 1070, 315, 3847, 9852, 19885, 9368, 9385, 3667, 3189, 24264, 346, 271, 269, 1704, 655, 3686, 663, 20728, 3189, 24264, 346, 271, 269, 1704, 655, 14990, 3847, 9638, 2173, 267, 336, 5991, 9368, 7751, 616, 897, 15035, 267, 1397, 602, 1269, 335, 333, 284, 336, 332, 259, 4586, 736, 269, 634, 2040, 540, 19362, 543, 14009, 540, 513, 6824, 568, 476, 1321, 28560, 476, 272, 568, 3773, 547, 1312, 519, 19362, 543, 14009, 2073, 519, 6824, 3587, 4399, 2765, 346, 274, 2410, 275, 4151, 1547, 8340, 519, 6824, 563, 2641, 269, 20472, 8126, 757, 547, 513, 5858, 540, 8953, 476, 274, 4699, 689, 513, 1448, 593, 519, 3492, 878, 5858, 540, 8953, 476, 276, 4699, 563, 2420, 269, 634, 3259, 540, 519, 8792, 1688, 540, 513, 9219, 568, 476, 276, 4699, 267, 1265, 519, 1858, 25626, 676, 519, 8792, 1688, 1282, 476, 278, 281, 1015, 993, 547, 476, 278, 281, 3393, 993, 780, 4089, 1107, 667, 692, 2537, 269, 4855, 519, 12945, 9971, 609, 519, 2040, 267, 2040, 540, 1587, 540, 922, 4642, 525, 3144, 1079, 693, 513, 942, 543, 519, 1587, 540, 922, 4642, 525, 616, 476, 271, 267, 910, 278, 267, 910, 277, 6606, 563, 2190, 269, 589, 5721, 12599, 513, 3845, 540, 476, 4968, 5998, 693, 513, 3586, 3432, 269, 1403, 519, 3432, 540, 519, 5721, 568, 2799, 676, 476, 276, 5998, 606, 5662, 267, 519, 3460, 1131, 1491, 476, 273, 3108, 1447, 269, 4855, 519, 3432, 540, 5721, 563, 1839, 269, 634, 1739, 3349, 2982, 519, 6502, 540, 519, 2550, 15861, 538, 513, 6413, 1282, 513, 1032, 563, 8340, 519, 7154, 543, 1611, 540, 519, 1239, 269, 14424, 543, 18448, 519, 1079, 3800, 540, 3844, 12402, 563, 2918, 269, 589, 4216, 3568, 476, 2412, 11084, 540, 1482, 3337, 543, 2597, 269, 7324, 519, 11084, 267, 476, 1015, 11084, 616, 3043, 543, 476, 1626, 616, 2699, 543, 1964, 616, 3109, 269, 1548, 568, 519, 5506, 602, 519, 3440, 6537, 568, 711, 3109, 563, 2767, 269, 589, 8708, 1930, 689, 519, 1283, 543, 1500, 909, 540, 513, 4496, 6656, 568, 538, 519, 1106, 540, 513, 2927, 560, 636, 540, 513, 13409, 540, 4463, 476, 1626, 4699, 609, 2234, 4512, 540, 922, 2539, 543, 5580, 7475, 607, 476, 279, 4699, 543, 476, 736, 4699, 6606, 269, 4855, 519, 1942, 540, 519, 5144, 799, 666, 4625, 6445, 519, 8708, 693, 519, 2557, 540, 12652, 269, 476, 736, 829, 1396, 516, 269, 4746, 1265, 519, 1942, 540, 4496, 6656, 1031, 547, 1118, 519, 8708, 267, 952, 621, 3790, 12652, 269, 476, 279, 829, 476, 1911, 4699, 273, 563, 2764, 269, 2311, 2048, 339, 685, 8792, 2250, 476, 273, 10681, 267, 519, 942, 2877, 676, 519, 8792, 1688, 540, 513, 9219, 547, 1397, 476, 274, 10681, 729, 1336, 547, 581, 476, 274, 3764, 1447, 982, 4399, 2765, 13997, 339, 8703, 273, 12453, 275, 4151, 3764, 269, 4855, 2048, 339, 17483, 3066, 269, 28171, 602, 2433, 4399, 2765, 3189, 9507, 346, 20799, 348, 288, 10954, 9507, 346, 6523, 348, 1815, 288, 268, 272, 7346, 9507, 346, 20799, 348, 288, 10559, 9507, 346, 6523, 348, 1815, 288, 266, 272, 18098, 2765, 346, 272, 10954, 9507, 346, 6523, 348, 288, 7346, 9507, 346, 7562, 348, 288, 21456, 1789, 269, 8058, 602, 519, 2040, 540, 606, 589, 10422, 269, 4171, 1101, 2165, 568, 2048, 320, 685, 2073, 16149, 2165, 568, 2048, 321, 685, 2073, 543, 519, 2063, 2165, 2048, 322, 685, 568, 3160, 547, 4399, 2765, 3189, 3847, 5416, 25239, 9368, 9385, 3847, 6357, 25239, 268, 273, 320, 9368, 20972, 273, 13375, 6357, 8584, 9368, 264, 4151, 0, 1012, 595, 820, 5969, 267, 10656, 14193, 2388, 543, 669, 527, 7482, 692, 8310, 3781, 693, 1018, 3323, 1055, 607, 1164, 7401, 855, 8694, 909, 607, 12129, 630, 1721, 803, 267, 693, 2547, 1070, 13391, 3385, 543, 594, 3838, 513, 14735, 269, 634, 14735, 729, 9447, 547, 938, 3349, 2059, 609, 513, 630, 337, 1430, 8325, 264, 17180, 269, 594, 1031, 519, 17180, 547, 2759, 476, 1109, 1492, 14735, 883, 1079, 267, 543, 13391, 3385, 8359, 835, 540, 519, 1079, 4773, 630, 710, 343, 2364, 2406, 646, 8359, 519, 4130, 835, 1040, 2334, 1259, 267, 649, 1185, 6913, 519, 1034, 3608, 1505, 540, 24590, 513, 4062, 540, 14735, 1063, 1079, 1004, 780, 2005, 814, 1044, 606, 4277, 6310, 1966, 607, 547, 875, 547, 8237, 513, 4062, 540, 14735, 1063, 1614, 1004, 267, 2094, 519, 1657, 5690, 3085, 1406, 960, 269, 634, 1966, 814, 1044, 12193, 267, 855, 568, 2864, 7294, 609, 1896, 2665, 267, 5473, 835, 1268, 5969, 513, 4062, 267, 519, 2034, 1268, 16013, 2719, 621, 543, 5356, 621, 547, 519, 3791, 267, 4553, 676, 2417, 1109, 1260, 4124, 269, 594, 4465, 1406, 21898, 10503, 621, 2417, 1934, 269, 1656, 1287, 596, 723, 519, 1966, 540, 14178, 519, 3070, 547, 715, 1004, 4687, 513, 4062, 540, 14735, 780, 3719, 1287, 267, 972, 568, 606, 17715, 3070, 267, 1310, 782, 267, 799, 594, 1336, 538, 5981, 13852, 657, 30778, 5140, 1433, 1109, 20694, 3414, 519, 18391, 19371, 513, 7008, 540, 2395, 1394, 269, 1306, 13852, 657, 6257, 10484, 3080, 19782, 1190, 1505, 11827, 538, 519, 476, 3422, 271, 338, 267, 799, 666, 581, 1031, 585, 1022, 1297, 540, 1004, 267, 4145, 513, 3001, 17180, 269, 634, 17180, 568, 17479, 693, 519, 2427, 540, 519, 14735, 543, 1287, 7575, 1360, 7444, 2066, 621, 269, 1879, 2576, 695, 8083, 2048, 4306, 8008, 256, 685, 519, 17180, 21100, 693, 602, 2990, 269, 634, 1268, 945, 22551, 539, 856, 11392, 519, 20105, 269, 634, 17180, 1287, 5170, 585, 519, 6967, 5171, 780, 2005, 568, 711, 2182, 547, 1294, 875, 713, 1568, 630, 527, 17648, 602, 519, 5716, 267, 7429, 13391, 3385, 2063, 3781, 267, 1616, 519, 4102, 2009, 4062, 540, 14735, 1247, 1373, 4023, 1040, 1403, 596, 1289, 1932, 2038, 267, 596, 1439, 909, 609, 513, 4130, 4062, 540, 14735, 982, 596, 2461, 13886, 547, 267, 543, 865, 596, 7227, 269, 1411, 1289, 1932, 3735, 267, 543, 2576, 814, 2907, 1572, 585, 621, 269, 1924, 609, 1169, 6345, 4730, 519, 6099, 4640, 267, 713, 3001, 17180, 4640, 2164, 538, 1142, 1268, 3478, 741, 4023, 2671, 780, 4407, 2542, 713, 14735, 24408, 1154, 4640, 267, 594, 3893, 18056, 540, 519, 10656, 25488, 269, 769, 971, 606, 25488, 267, 519, 2777, 6238, 609, 513, 1360, 1164, 3902, 267, 799, 12772, 7444, 630, 21323, 676, 513, 9219, 267, 2356, 1040, 1656, 607, 519, 3902, 12772, 267, 950, 835, 540, 519, 18046, 568, 8348, 547, 2628, 519, 3902, 693, 602, 4090, 267, 789, 19915, 585, 621, 267, 543, 519, 1843, 4991, 4421, 693, 602, 3902, 269, 2755, 621, 568, 513, 968, 14140, 3902, 25488, 892, 543, 18046, 949, 711, 30035, 741, 3020, 18515, 547, 2628, 630, 514, 519, 4126, 540, 3478, 519, 6221, 585, 513, 2539, 3902, 1070, 519, 5413, 568, 602, 621, 779, 2656, 267, 543, 8754, 1031, 585, 25488, 532, 1919, 971, 607, 5810, 780, 2005, 1568, 519, 1482, 1259, 607, 519, 14735, 24408, 1154, 5690, 538, 602, 952, 972, 568, 513, 1134, 20452, 1871, 585, 519, 1843, 1373, 25488, 539, 630, 10472, 568, 10355, 519, 2013, 538, 2259, 1070, 621, 2306, 2631, 547, 19915, 4010, 693, 519, 1448, 950, 519, 3902, 11224, 713, 1134, 20452, 1871, 780, 1607, 1505, 540, 5969, 25394, 543, 25488, 532, 5810, 568, 849, 2147, 547, 875, 669, 527, 7482, 960, 538, 3127, 269, 769, 513, 669, 527, 2508, 267, 596, 723, 715, 1004, 945, 1902, 2724, 883, 513, 1494, 693, 715, 1114, 2798, 538, 942, 269, 3962, 942, 267, 519, 2724, 3976, 6394, 568, 25488, 539, 547, 519, 1268, 945, 2115, 621, 519, 1034, 267, 543, 519, 3902, 540, 519, 25488, 568, 5462, 676, 519, 2179, 602, 519, 1268, 568, 8348, 547, 968, 2280, 979, 892, 540, 519, 5021, 2179, 269, 901, 2179, 602, 568, 3976, 1577, 979, 540, 568, 7856, 547, 519, 824, 5171, 630, 5976, 519, 2777, 2921, 513, 10243, 6393, 1607, 568, 4010, 2147, 547, 519, 14735, 5969, 2013, 269, 1109, 13914, 827, 621, 2439, 3383, 621, 568, 1360, 4277, 602, 513, 4909, 4183, 540, 4095, 1753, 326, 3497, 8804, 267, 519, 669, 527, 2508, 267, 14405, 689, 1271, 2035, 538, 13004, 543, 3014, 3069, 269, 1284, 2461, 5963, 1390, 256, 0, 258, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 13174, 25417, 590, 4953, 2147, 547, 25478, 31687, 1115, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 25111, 912, 20806, 3188, 1377, 1384, 7462, 4033, 16776, 602, 9305, 547, 25478, 31687, 1115, 454, 15307, 26305, 30548, 1109, 13627, 26305, 269, 13174, 1109, 11045, 15659, 1109, 306, 4953, 269, 13241, 1109, 268, 1109, 331, 1516, 1109, 16447, 269, 6323, 269, 13241, 1109, 268, 1109, 874, 9713, 1109, 16447, 780, 2162, 1703, 616, 476, 2767, 2164, 692, 289, 5802, 11762, 3436, 10241, 3436, 13174, 25417, 590, 4953, 692, 2162, 6496, 901, 14675, 827, 9406, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2750, 8533, 891, 9193, 269, 1684, 789, 3280, 827, 1318, 2496, 2162, 5253, 932, 1622 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3287, 264, 1063, 1079, 7182, 513, 543, 536, 568, 519, 1858, 896, 519, 1576, 689, 1535, 30381, 547, 1535, 284, 321, 269, 621, 568, 513, 1297, 267, 711, 513, 1599, 267, 3160, 547, 674, 630, 321, 264, 1107, 674, 630, 320, 6393, 9377, 9548, 7533, 814, 23451, 630, 331, 8077, 2338, 1657, 543, 2630, 519, 7533, 1129, 264, 6466, 606, 22543, 9548, 7533, 568, 3808, 1652, 543, 950, 596, 11753, 621, 596, 723, 547, 2322, 513, 1341, 595, 630, 6247, 1218, 6393, 763, 17386, 7533, 540, 513, 1599, 568, 5702, 1644, 547, 519, 4550, 268, 1457, 29719, 543, 22543, 9548, 7533, 540, 513, 1599, 269, 634, 3119, 3017, 568, 602, 519, 22543, 9548, 7533, 267, 952, 621, 6818, 267, 568, 513, 1483, 1297, 1871, 267, 1247, 519, 8545, 1079, 2099, 606, 12808, 1297, 540, 3252, 602, 8428, 1152, 676, 513, 3586, 780, 1892, 7533, 568, 11201, 540, 8174, 566, 865, 1945, 4503, 538, 8174, 566, 568, 513, 3586, 692, 1892, 1403, 596, 1589, 540, 519, 17386, 7533, 607, 519, 1858, 896, 513, 7455, 586, 815, 535, 3287, 1070, 543, 1657, 519, 1535, 14289, 267, 1063, 1978, 7299, 3515, 630, 18314, 2418, 540, 1535, 1070, 621, 568, 6654, 602, 519, 1858, 814, 513, 1978, 1808, 1871, 267, 865, 602, 1100, 834, 15200, 595, 257, 1131, 581, 3617, 780, 1892, 2201, 519, 824, 1688, 267, 952, 519, 7299, 2427, 6302, 540, 519, 1858, 723, 711, 2943, 1044, 9138, 267, 782, 596, 4312, 1336, 568, 519, 834, 656, 3187, 29719, 257, 674, 3287, 264, 540, 519, 1599, 586, 815, 535, 3287, 1070, 543, 621, 568, 6654, 602, 519, 12045, 540, 674, 3287, 264, 1341, 476, 271, 269, 6507, 277, 786, 581, 519, 1482, 607, 519, 12045, 540, 674, 3287, 264, 1341, 476, 14695, 269, 7761, 630, 296, 1500, 909, 1346, 2338, 2020, 28097, 519, 1909, 540, 3586, 540, 5610, 538, 22543, 9548, 29398, 267, 1946, 649, 1810, 1405, 4125, 621, 538, 17386, 29398, 286, 630, 6826, 5730, 2020, 296, 6415, 14322, 596, 2811, 13288, 547, 519, 3586, 602, 568, 3773, 1310, 5610, 267, 2864, 982, 513, 3586, 2165, 1247, 10128, 780, 763, 3586, 568, 3773, 1317, 621, 18575, 782, 2009, 4550, 16755, 269, 1280, 1383, 267, 7533, 540, 476, 272, 568, 1535, 1341, 524, 269, 634, 524, 666, 581, 476, 273, 267, 14039, 267, 476, 5379, 269, 273, 3092, 269, 634, 1920, 540, 4550, 16755, 568, 6719, 1210, 602, 3586, 524, 780, 763, 22543, 9548, 7533, 540, 513, 1599, 535, 3287, 264, 568, 606, 4550, 268, 1457, 29719, 269, 634, 17386, 7533, 540, 535, 3287, 264, 1063, 1079, 7182, 543, 536, 568, 519, 1858, 896, 519, 1576, 689, 1535, 30381, 547, 1535, 284, 321, 269, 621, 568, 513, 1297, 267, 711, 513, 1599, 267, 3160, 547, 674, 630, 321, 264, 1107, 674, 630, 320, 1040, 1103, 17386, 29398, 649, 1810, 1405, 4125, 3586, 540, 5610, 1317, 17386, 7533, 3947, 721, 513, 17386, 1871, 693, 519, 1448, 540, 9819, 1547, 1103, 621, 649, 946, 1079, 7182, 607, 513, 543, 536, 799, 568, 1858, 896, 519, 7455, 1547, 9377, 9548, 7533, 814, 7182, 543, 2338, 1657, 543, 2630, 519, 7533, 1129, 855, 538, 22543, 9548, 29398, 799, 568, 19957, 610, 3808, 1652, 649, 2141, 1039, 606, 7164, 3586, 799, 568, 3586, 540, 5610, 1317, 519, 12045, 540, 674, 3287, 11924, 290, 568, 3160, 547, 519, 12045, 540, 674, 3287, 6393, 763, 17386, 7533, 540, 513, 1599, 568, 5702, 1644, 547, 519, 4550, 12045, 543, 22543, 9548, 7533, 540, 513, 1599, 269, 634, 3119, 3017, 568, 602, 519, 22543, 9548, 7533, 267, 952, 621, 6818, 267, 568, 513, 1483, 1297, 1871, 267, 1247, 519, 8545, 1079, 2099, 606, 12808, 1297, 540, 3252, 602, 8428, 1152, 676, 513, 3586, 269, 634, 2078, 1063, 891, 2035, 568, 786, 581, 5941, 538, 519, 3296, 593, 519, 27284, 14497, 540, 20145, 267, 543, 596, 786, 1294, 602, 519, 17386, 7533, 786, 723, 3156, 547, 1082, 2042, 780, 2005, 568, 513, 1599, 674, 3287, 264, 4171, 12045, 568, 535, 3287, 1040, 1411, 2141, 1039, 606, 7164, 3586, 547, 519, 22543, 9548, 7533, 1317, 519, 12045, 540, 674, 3287, 264, 7132, 1022, 3586, 568, 519, 1482, 607, 519, 12045, 540, 674, 3287, 6393, 10472, 568, 519, 5730, 3070, 855, 581, 2386, 547, 1689, 621, 538, 707, 1378, 1913, 543, 711, 1175, 5299, 543, 13594, 713, 1522, 610, 1522, 711, 581, 4977, 855, 972, 521, 2141, 1981, 950, 596, 513, 842, 513, 22301, 3054, 692, 9563, 9563, 2026, 649, 917, 602, 12045, 540, 513, 3586, 568, 20023, 267, 865, 1022, 3586, 1522, 581, 3773, 547, 606, 1473, 1030, 9548, 6715, 1537, 263, 663, 786, 5330, 547, 519, 1482, 7533, 1040, 769, 824, 1913, 621, 666, 849, 581, 1767, 607, 602, 519, 4550, 12045, 568, 513, 1875, 10595, 1664, 11201, 540, 513, 12045, 543, 585, 713, 2601, 513, 4351, 3586, 568, 3773, 4122, 1634, 607, 19693, 540, 16949, 780, 1607, 19693, 568, 1031, 547, 2769, 519, 13112, 340, 8864, 7915, 1282, 4070, 540, 4550, 12045, 269, 901, 3622, 31758, 519, 1109, 335, 1601, 2225, 1109, 1721, 519, 4756, 538, 606, 3830, 269, 16949, 568, 519, 10941, 532, 540, 519, 3604, 855, 713, 568, 711, 1031, 538, 519, 2013, 540, 17386, 29398, 607, 789, 2270, 4632, 865, 519, 3830, 666, 581, 12193, 1510, 519, 991, 540, 513, 3586, 547, 1265, 1022, 7399, 780, 18029, 620, 328, 1109, 12552, 585, 4687, 692, 9616, 585, 2353, 16840, 281, 1411, 1810, 1406, 991, 547, 979, 1022, 824, 3135, 585, 713, 7084, 27798, 24174, 270, 15697, 13658, 3070, 267, 5221, 2353, 5941, 1239, 540, 938, 2818, 538, 713, 4901, 616, 2469, 689, 1934, 547, 824, 4609, 269, 1411, 666, 9794, 713, 693, 824, 4609, 3054, 269, 1924, 1810, 1406, 3653, 707, 10475, 942, 609, 1114, 6402, 780, 1012, 26257, 11314, 692, 273, 3764, 3516, 454, 275, 3764, 3516, 454, 276, 3764, 3516, 454, 10030, 266, 4041, 27073, 2207, 10030, 266, 11540, 5717, 454, 278, 3764, 3516, 454, 266, 834, 10382, 9326, 338, 10382, 11433, 497, 834, 2843, 490, 384, 483, 386, 370, 382, 369, 9326, 389, 357, 3040, 257, 2451, 513, 6085, 585, 932, 1306, 611, 454, 1015, 3764, 3516, 454, 4097, 3764, 3516, 454, 4097, 3764, 3516, 454, 4097, 3764, 3516, 454, 266, 834, 3008, 257, 14452, 547, 1341, 834, 3008, 257, 262, 338, 4901, 11835, 13850, 1515, 774, 344, 10756, 3374, 3764, 3516, 454, 3374, 3764, 3516, 454, 310, 8643, 5984, 14452, 547, 1341, 834, 297, 389, 357, 344, 384, 483, 781, 4901, 29110, 11876, 795, 599, 695, 1515, 4512, 4512, 2473, 291, 2473, 291, 454, 4366, 3764, 3516, 454, 272, 5662, 3516, 454, 272, 5662, 3516, 454, 310, 8643, 5984, 17329, 1341, 10030, 4306, 11070, 7728, 10030, 22065, 338, 5816, 2022, 9612, 25925, 454, 272, 5662, 3516, 454, 310, 8643, 5984, 17329, 1341, 10030, 4306, 11070, 7728, 10030, 22065, 338, 5816, 2022, 1689, 454, 272, 5662, 3516, 454, 310, 8643, 5984, 17329, 1341, 10030, 4306, 11070, 7728, 10030, 22065, 338, 5816, 2022, 7763, 643, 1049, 454, 272, 5662, 3516, 454, 310, 8643, 5984, 17329, 1341, 10634, 10382, 9326, 397, 498, 11433, 497, 397, 498, 30284, 30284, 575, 15403, 9326, 11433, 497, 781, 5816, 2022, 2340, 507, 353, 20804, 476, 28405, 21333, 14507, 454, 272, 5662, 3516, 454, 310, 8643, 5984, 17329, 1990, 2129, 320, 756, 952, 339, 1731, 9618, 781, 5816, 2022, 3267, 265, 590, 4456, 26685, 2207, 918, 296, 17241, 3951, 3267, 20330, 272, 5662, 3516, 454, 310, 8643, 5984, 17329, 1990, 2129, 320, 756, 952, 339, 1731, 9618, 781, 5816, 2022, 3267, 265, 27107, 296, 631, 308, 295, 5723, 6630, 288, 2562, 3267, 20330, 272, 5662, 3516, 454, 310, 8643, 5984, 17329, 1341, 10030, 4306, 11070, 7728, 10030, 22065, 338, 5816, 2022, 513, 329, 5674, 321, 454, 272, 5662, 3516, 692, 272, 692, 273, 692, 274, 0, 258, 476, 278, 269, 274, 269, 272, 269, 7335, 543, 3955, 31147, 4578, 692, 763, 3113, 2630, 4564, 519, 1297, 540, 23445, 267, 22796, 267, 17710, 267, 543, 21971, 619, 4421, 676, 513, 4558, 538, 835, 3018, 269, 1403, 22796, 616, 519, 1034, 4421, 6221, 267, 23445, 616, 519, 2547, 4421, 3283, 267, 543, 519, 1297, 540, 4421, 21971, 619, 568, 811, 982, 602, 540, 519, 4421, 17710, 267, 6582, 519, 4421, 3688, 538, 26799, 1931, 780, 1892, 589, 5155, 15078, 267, 21971, 619, 267, 17710, 267, 23445, 454, 1892, 5696, 592, 619, 267, 21971, 619, 267, 23445, 267, 22796, 454, 1892, 595, 335, 839, 267, 21971, 619, 267, 17710, 267, 22796, 454, 1892, 667, 335, 839, 267, 17710, 267, 21971, 619, 267, 22796, 454, 17004, 8827, 692, 763, 3113, 2630, 4564, 1018, 513, 8004, 814, 10710, 538, 476, 276, 3275, 269, 14419, 519, 2547, 2179, 1352, 814, 10710, 538, 6550, 267, 543, 1265, 856, 538, 799, 3923, 780, 1892, 589, 279, 267, 2904, 454, 1892, 645, 277, 267, 4989, 454, 1892, 595, 2190, 267, 2904, 454, 1892, 667, 277, 267, 2904, 454, 17004, 8827, 692, 763, 3349, 2630, 4564, 930, 1053, 685, 19463, 5026, 269, 1403, 972, 616, 476, 6110, 1053, 267, 875, 1082, 1053, 4782, 11176, 2496, 22505, 20587, 720, 25624, 7435, 4252, 31336, 4252, 4210, 21148, 692, 1892, 589, 3199, 1053, 454, 1892, 645, 9610, 1053, 454, 1892, 595, 2568, 1053, 454, 1892, 667, 6344, 1053, 454, 17004, 8827, 692, 763, 1739, 3349, 2982, 519, 2010, 543, 5666, 540, 13184, 538, 5215, 538, 513, 1978, 2197, 689, 476, 1220, 271, 547, 476, 1220, 274, 780, 299, 12083, 1220, 22903, 23713, 16573, 1220, 274, 454, 290, 3298, 275, 32674, 4366, 273, 275, 32674, 20542, 275, 32674, 271, 4792, 275, 32674, 25240, 454, 289, 4428, 531, 3996, 274, 32674, 8064, 274, 274, 32674, 279, 3199, 274, 32674, 279, 4817, 274, 32674, 279, 3066, 454, 9515, 788, 276, 32674, 14444, 276, 32674, 13199, 276, 32674, 13078, 276, 32674, 26237, 454, 7883, 1846, 274, 32674, 30663, 274, 32674, 278, 5780, 274, 32674, 4792, 278, 274, 32674, 5038, 272, 692, 1432, 729, 519, 1297, 540, 10889, 531, 3996, 538, 476, 273, 32674, 16573, 2496, 17004, 8827, 692, 763, 3113, 2630, 4564, 519, 2179, 543, 2010, 540, 13184, 538, 513, 2197, 689, 519, 1032, 476, 1220, 271, 547, 476, 1220, 274, 269, 14419, 519, 1297, 540, 13265, 538, 476, 1220, 271, 780, 1892, 589, 454, 273, 32674, 6344, 32674, 1822, 454, 1892, 645, 454, 275, 32674, 29848, 32674, 1822, 454, 1892, 595, 454, 276, 32674, 271, 5392, 32674, 1822, 454, 1892, 667, 454, 274, 32674, 271, 4281, 32674, 1822, 454, 17004, 8827, 692, 24078, 972, 513, 6175, 538, 519, 1297, 540, 23161, 689, 519, 1032, 476, 1220, 271, 11489, 476, 1220, 274, 2496, 1892, 1323, 334, 454, 1892, 1635, 525, 454, 17004, 8827, 692, 8794, 519, 3113, 2630, 267, 3313, 519, 5396, 602, 20639, 610, 811, 543, 538, 799, 1296, 780, 1892, 7537, 987, 538, 476, 1220, 275, 267, 8212, 538, 476, 1220, 275, 267, 10334, 538, 476, 1220, 275, 267, 2296, 538, 476, 1220, 275, 267, 4569, 538, 476, 1220, 278, 454, 1892, 645, 13043, 538, 476, 1220, 275, 267, 8212, 538, 476, 1220, 275, 267, 10334, 538, 476, 1220, 275, 267, 4569, 538, 476, 1220, 276, 267, 11061, 538, 476, 1220, 276, 454, 1892, 16671, 13511, 538, 476, 1220, 275, 267, 2296, 538, 476, 1220, 275, 267, 8212, 538, 476, 1220, 279, 267, 10334, 538, 476, 1220, 279, 454, 1892, 667, 13043, 538, 476, 1220, 275, 267, 8212, 538, 476, 1220, 275, 267, 10334, 538, 476, 1220, 275, 267, 4569, 538, 476, 1220, 278, 267, 11061, 538, 476, 1220, 278, 454, 17004, 8827, 692, 12441, 10889, 531, 3996, 2594, 519, 5207, 1297, 540, 13184, 538, 513, 1032, 689, 519, 1032, 476, 1220, 271, 547, 476, 1220, 274, 2496, 1892, 1323, 334, 454, 1892, 1635, 525, 454, 17004, 8827, 692, 8794, 519, 3113, 2630, 267, 3313, 519, 5396, 602, 20639, 1447, 982, 543, 538, 799, 1296, 780, 1892, 589, 30125, 538, 476, 1220, 275, 267, 4569, 538, 476, 1220, 276, 267, 11061, 538, 476, 1220, 276, 267, 2296, 538, 476, 1220, 276, 267, 11061, 538, 476, 1220, 278, 454, 1892, 645, 13043, 538, 476, 1220, 275, 267, 11061, 538, 476, 1220, 275, 267, 10334, 538, 476, 1220, 275, 267, 2296, 538, 476, 1220, 275, 267, 4569, 538, 476, 1220, 276, 454, 1892, 595, 30125, 538, 476, 1220, 275, 267, 8212, 538, 476, 1220, 276, 267, 10334, 538, 476, 1220, 276, 267, 8212, 538, 476, 1220, 278, 267, 4569, 538, 476, 1220, 279, 454, 1892, 667, 30125, 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 ]
[ 9900, 563, 8855, 267, 8066, 707, 7362, 1247, 27312, 568, 513, 2462, 1100, 5991, 334, 269, 2659, 9641, 616, 899, 31148, 267, 543, 789, 666, 16802, 896, 519, 2810, 2604, 269, 22985, 6441, 1380, 659, 779, 4521, 281, 901, 1876, 568, 782, 827, 519, 2837, 8126, 334, 269, 6056, 540, 707, 1085, 18866, 7382, 607, 513, 3905, 32567, 5428, 3662, 269, 1879, 596, 6445, 621, 909, 267, 519, 2604, 543, 2837, 3330, 979, 909, 899, 21173, 563, 30875, 779, 4521, 281, 901, 1876, 568, 519, 2601, 1946, 596, 1205, 519, 536, 1742, 952, 596, 10841, 754, 1932, 3533, 269, 5994, 9436, 18616, 607, 14229, 21294, 5428, 1835, 553, 1667, 269, 634, 4514, 596, 979, 267, 519, 811, 789, 899, 547, 13793, 856, 538, 707, 8031, 267, 7064, 547, 519, 2799, 2604, 269, 1809, 952, 596, 2097, 909, 1932, 3728, 519, 2604, 12772, 269, 0, 763, 2883, 2533, 2872, 13315, 1082, 1114, 9922, 543, 4876, 10092, 269, 898, 2882, 3388, 689, 8492, 543, 5491, 18787, 547, 21963, 7482, 543, 10697, 2359, 10909, 269, 898, 849, 6227, 3388, 689, 6142, 547, 7963, 543, 2724, 2359, 269, 11038, 2533, 568, 513, 5458, 851, 540, 938, 4346, 543, 621, 779, 1271, 547, 1174, 1018, 621, 14122, 1354, 596, 1118, 1022, 3664, 827, 707, 2104, 563, 288, 2635, 2883, 2533, 5823, 568, 2565, 547, 938, 2804, 1072, 269, 898, 2337, 2043, 543, 4213, 1205, 519, 7616, 789, 991, 547, 8853, 269, 898, 2636, 1004, 547, 5150, 12029, 585, 5321, 267, 2069, 267, 6472, 543, 811, 269, 898, 2337, 2043, 4688, 585, 16468, 543, 824, 3853, 267, 607, 1134, 607, 28863, 741, 3959, 543, 1072, 998, 6142, 269, 898, 849, 2488, 6634, 609, 6009, 602, 1450, 873, 547, 1489, 741, 3885, 543, 2950, 563, 2691, 1034, 1004, 1589, 540, 2883, 2533, 267, 789, 1589, 540, 12948, 543, 10115, 269, 1717, 267, 972, 568, 513, 2603, 811, 547, 519, 2883, 2533, 2872, 982, 602, 269, 769, 1249, 267, 621, 779, 865, 3376, 602, 621, 666, 581, 2182, 547, 917, 1018, 2186, 540, 4876, 2619, 596, 1616, 547, 1491, 538, 713, 2230, 563, 26296, 2533, 616, 782, 519, 5370, 543, 2533, 602, 948, 596, 4383, 707, 2123, 610, 1870, 18083, 269, 901, 2882, 1919, 899, 10992, 6589, 267, 9806, 6589, 267, 543, 5491, 6486, 269, 898, 849, 2882, 1919, 899, 10211, 532, 2724, 547, 4213, 543, 6800, 267, 22151, 9562, 540, 7221, 630, 3697, 6517, 610, 8075, 264, 689, 835, 5428, 547, 1776, 267, 543, 3246, 1344, 593, 9541, 267, 13632, 543, 824, 19736, 269, 0, 763, 9622, 10885, 540, 14392, 1107, 589, 27505, 1359, 25957, 585, 1215, 268, 2414, 20929, 538, 476, 1220, 277, 454, 1103, 476, 1220, 277, 267, 14392, 729, 2907, 9591, 3294, 607, 513, 979, 3562, 3760, 585, 513, 3309, 2039, 540, 875, 3562, 10274, 269, 901, 3296, 786, 2263, 519, 27299, 540, 14392, 267, 10223, 922, 5692, 543, 519, 3395, 2146, 540, 20334, 13730, 827, 4687, 1702, 563, 763, 14871, 6363, 7037, 28497, 543, 14392, 779, 19663, 7991, 454, 1103, 476, 1220, 277, 267, 14392, 779, 3593, 7888, 8818, 5129, 513, 11358, 1909, 538, 19788, 20334, 543, 3988, 7567, 269, 670, 273, 786, 1469, 519, 3760, 779, 11768, 267, 10771, 922, 16134, 543, 10333, 269, 634, 3395, 2146, 540, 20334, 267, 1142, 11235, 547, 2671, 741, 6791, 998, 1900, 8386, 9912, 10274, 267, 8329, 547, 14392, 779, 9750, 23789, 540, 1702, 563, 291, 5744, 11762, 543, 18789, 9177, 454, 3080, 540, 14392, 779, 9342, 538, 476, 1220, 277, 729, 922, 3309, 5044, 540, 3584, 269, 670, 274, 786, 5490, 883, 519, 3760, 779, 7029, 547, 8720, 3388, 689, 4052, 1272, 1983, 547, 13395, 12348, 269, 634, 4473, 540, 513, 18789, 2528, 729, 10423, 267, 543, 14392, 2968, 513, 13398, 585, 2043, 5275, 5583, 593, 513, 2647, 8552, 540, 5396, 563, 310, 9780, 3798, 1746, 543, 21664, 538, 476, 1220, 277, 454, 763, 11049, 543, 10319, 2470, 540, 14392, 941, 10058, 2934, 538, 476, 1220, 277, 269, 901, 3296, 786, 2263, 519, 3760, 779, 11049, 2645, 267, 10771, 519, 13784, 602, 4847, 3755, 547, 2087, 4540, 10274, 543, 1711, 1007, 3283, 29050, 269, 14392, 779, 2189, 1935, 547, 1702, 6879, 2130, 1305, 621, 6306, 607, 513, 6422, 543, 9687, 4199, 563, 18128, 1828, 540, 14392, 1107, 8177, 593, 6732, 4804, 543, 18789, 18877, 454, 2026, 476, 1220, 277, 6825, 513, 11358, 1032, 585, 14392, 267, 670, 276, 786, 2263, 519, 3760, 779, 9687, 1764, 593, 2228, 1565, 543, 18789, 2950, 269, 634, 3296, 786, 1865, 875, 14392, 779, 2203, 6766, 824, 5867, 543, 8329, 547, 519, 2208, 540, 513, 3059, 2528, 1141, 2043, 8362, 8179, 543, 3838, 1702, 267, 18534, 12686, 519, 5251, 540, 2228, 18862, 563, 1103, 5758, 267, 14392, 538, 476, 1220, 277, 729, 513, 21722, 3760, 267, 5356, 513, 3593, 7888, 8818, 267, 513, 3309, 2039, 540, 3584, 267, 543, 513, 10319, 1604, 602, 23518, 2043, 547, 2671, 543, 3986, 741, 1702, 269, 901, 3102, 3391, 6322, 547, 7001, 519, 9759, 540, 14392, 779, 2038, 1296, 267, 20515, 922, 1909, 538, 5807, 513, 2528, 540, 18789, 543, 2228, 1565, 269, 0, 2691, 621, 2501, 547, 5647, 543, 2773, 267, 22720, 310, 2760, 8813, 2110, 269, 1809, 875, 1134, 798, 596, 917, 519, 14960, 540, 707, 6174, 267, 4481, 519, 570, 790, 16242, 16424, 3590, 630, 9143, 5960, 21663, 2913, 779, 1491, 513, 3460, 547, 1174, 875, 22720, 310, 570, 303, 5960, 1568, 563, 1692, 22720, 310, 570, 303, 5960, 3718, 454, 3383, 267, 1018, 779, 519, 5728, 3297, 713, 9583, 9589, 1062, 286, 22720, 310, 779, 570, 303, 5960, 11179, 21697, 519, 2604, 538, 782, 2185, 18646, 269, 1879, 1022, 12483, 779, 2604, 12772, 476, 1839, 260, 2630, 519, 5227, 1377, 267, 519, 9920, 568, 10332, 539, 269, 901, 2370, 4062, 540, 2029, 1568, 24091, 547, 2327, 707, 6174, 779, 3106, 267, 4398, 267, 543, 15325, 269, 27355, 1406, 602, 513, 9735, 4062, 540, 4702, 888, 763, 19606, 540, 570, 303, 5960, 454, 13696, 310, 779, 570, 303, 5960, 4769, 1406, 1402, 909, 16074, 269, 898, 779, 513, 1587, 540, 1296, 540, 12483, 1652, 4674, 543, 5647, 269, 2913, 779, 1900, 1394, 538, 942, 543, 2263, 519, 4720, 540, 713, 1062, 563, 763, 17510, 540, 570, 303, 5960, 454, 12988, 538, 519, 2038, 476, 2735, 271, 338, 267, 623, 832, 3832, 3323, 1210, 570, 303, 5960, 547, 6895, 12483, 2604, 538, 741, 17040, 6517, 269, 769, 476, 2735, 277, 267, 22720, 310, 5189, 519, 6744, 4211, 2632, 1503, 3590, 267, 606, 2038, 570, 303, 5960, 4528, 269, 22720, 310, 779, 585, 599, 883, 570, 303, 5960, 568, 606, 1383, 540, 741, 7029, 547, 21722, 6174, 3106, 563, 9143, 5960, 3683, 519, 13012, 454, 5804, 18803, 20297, 267, 570, 303, 5960, 2029, 7960, 547, 1831, 606, 1898, 3106, 4183, 269, 769, 476, 1220, 278, 267, 519, 772, 2529, 269, 32486, 570, 303, 5960, 538, 782, 1007, 18213, 6472, 269, 901, 1847, 838, 13899, 2417, 570, 303, 5960, 1646, 267, 1818, 621, 811, 10427, 543, 6325, 982, 2479, 563, 763, 22020, 540, 22720, 310, 570, 303, 5960, 454, 8139, 875, 22720, 310, 570, 303, 5960, 1568, 3340, 513, 2620, 4685, 883, 922, 3334, 269, 1924, 267, 31617, 909, 543, 1577, 779, 2263, 891, 6946, 3877, 2336, 4322, 616, 519, 4395, 1467, 7980, 267, 4092, 3330, 1142, 12483, 269, 1358, 7683, 2268, 519, 12483, 2604, 543, 2837, 267, 23142, 713, 1239, 547, 519, 570, 303, 5960, 1852, 1770, 563, 9143, 5960, 6513, 5149, 454, 1607, 568, 519, 1062, 779, 2634, 269, 898, 11392, 1239, 689, 519, 570, 303, 5960, 8596, 543, 267, 952, 621, 30397, 1970, 2604, 267, 15920, 606, 10332, 547, 519, 9920, 3842, 519, 21686, 4580, 13525, 563, 763, 3163, 19992, 22720, 310, 570, 303, 5960, 454, 13696, 310, 779, 570, 303, 5960, 3096, 15571, 22039, 630, 27184, 264, 2029, 547, 5968, 1063, 8596, 543, 519, 1852, 1770, 269, 2913, 779, 2736, 1524, 713, 3621, 14952, 563, 27184, 5303, 693, 4518, 454, 10376, 570, 303, 5960, 9300, 814, 513, 2189, 9517, 543, 13333, 593, 513, 1808, 4908, 269, 898, 18993, 1080, 2604, 543, 2837, 1239, 547, 519, 1852, 1770, 269, 1452, 16674, 6786, 616, 1018, 1118, 1483, 6066, 5464, 2009, 563, 29197, 532, 519, 30905, 454, 763, 570, 303, 5960, 1852, 1770, 9382, 519, 1239, 269, 1403, 621, 30397, 606, 3390, 267, 621, 15920, 606, 10332, 269, 901, 10332, 5526, 593, 707, 21686, 4580, 607, 513, 1769, 610, 513, 1257, 9963, 563, 19119, 540, 22720, 310, 570, 303, 5960, 454, 13696, 310, 779, 570, 303, 5960, 3884, 1406, 1175, 513, 16681, 4062, 540, 10509, 269, 898, 814, 3875, 2640, 602, 3986, 707, 6117, 1995, 543, 3106, 563, 3528, 10332, 532, 10256, 547, 896, 19899, 3836, 18646, 267, 570, 303, 5960, 2337, 2057, 12483, 9514, 8083, 267, 7393, 3106, 563, 18719, 1324, 23556, 21252, 454, 2304, 896, 19899, 3836, 12483, 666, 2333, 4492, 4616, 269, 2060, 22720, 310, 779, 570, 303, 5960, 267, 596, 666, 2226, 6099, 12483, 2604, 543, 2087, 4492, 4398, 563, 15761, 2056, 570, 790, 5020, 454, 15152, 19899, 3175, 666, 2014, 19514, 12483, 5957, 267, 4227, 741, 14438, 269, 8729, 547, 570, 303, 5960, 267, 596, 666, 8831, 707, 18646, 685, 1272, 676, 4509, 519, 2953, 2604, 563, 11902, 17988, 827, 22720, 310, 570, 303, 5960, 454, 8139, 875, 22720, 310, 570, 303, 5960, 1568, 949, 9594, 513, 1906, 2055, 269, 3371, 616, 930, 14174, 17988, 547, 844, 26067, 707, 7279, 563, 268, 6496, 22720, 310, 570, 303, 5960, 2268, 12483, 2837, 286, 8786, 267, 6306, 689, 2604, 267, 519, 570, 303, 5960, 8596, 849, 2268, 12483, 2837, 563, 268, 1548, 1281, 519, 570, 303, 5960, 9963, 1769, 1413, 899, 286, 634, 570, 303, 5960, 9963, 1769, 568, 2356, 606, 608, 17474, 1665, 3330, 513, 12483, 3090, 563, 268, 1548, 1058, 594, 798, 950, 519, 570, 303, 5960, 9963, 1769, 2501, 593, 286, 1411, 1058, 2638, 707, 12483, 2604, 543, 4870, 622, 873, 547, 519, 5227, 1377, 269, 1403, 519, 1769, 26251, 267, 5077, 513, 22720, 310, 3028, 4099, 563, 268, 1684, 570, 303, 5960, 8596, 991, 547, 581, 8719, 286, 8786, 267, 936, 942, 267, 570, 303, 5960, 8596, 949, 991, 10682, 1813, 547, 6007, 5821, 610, 2168, 3441, 563, 268, 2052, 594, 771, 762, 519, 570, 303, 5960, 286, 2598, 29058, 570, 303, 5960, 568, 711, 5227, 607, 621, 779, 513, 2629, 3106, 4183, 269, 769, 930, 2477, 267, 621, 779, 849, 10363, 563, 268, 1215, 1419, 1058, 594, 2638, 1250, 12483, 2604, 286, 4634, 609, 570, 303, 5960, 267, 621, 779, 19624, 547, 16924, 2638, 707, 12483, 2604, 10865, 563, 13696, 310, 779, 570, 303, 5960, 568, 513, 20100, 540, 2413, 4702, 602, 4679, 3106, 543, 2773, 269, 1635, 10332, 532, 596, 547, 2604, 12772, 267, 621, 2636, 585, 5401, 30997, 3527, 267, 5329, 596, 10930, 593, 519, 4155, 1247, 21924, 4492, 4398, 543, 12483, 1272, 269, 1924, 267, 1631, 602, 596, 1174, 875, 22720, 310, 570, 303, 5960, 1568, 267, 596, 666, 5660, 707, 6174, 779, 6988, 543, 1416, 1256, 811, 256, 0, 12988, 1575, 5849, 602, 707, 1271, 6054, 267, 6337, 267, 543, 824, 6119, 616, 2922, 689, 17403, 267, 23139, 32280, 267, 13313, 267, 543, 8800, 5821, 269, 1809, 798, 596, 723, 7850, 4027, 1996, 2228, 3354, 6937, 899, 26030, 2264, 610, 824, 8290, 888, 12901, 643, 6400, 568, 707, 1101, 4494, 540, 8878, 1996, 6880, 3430, 2931, 269, 1656, 267, 596, 949, 2907, 723, 28456, 3301, 8704, 593, 707, 2780, 269, 1717, 267, 972, 779, 513, 1434, 4960, 621, 779, 711, 607, 2500, 607, 596, 1589, 269, 3371, 779, 1946, 281, 952, 596, 1810, 1406, 723, 519, 5767, 4528, 540, 519, 3301, 610, 18417, 20495, 547, 5710, 707, 3301, 12689, 267, 596, 5749, 1406, 6870, 1996, 519, 21777, 6937, 269, 901, 568, 1271, 1317, 6880, 20737, 11179, 3082, 18453, 543, 8290, 547, 859, 1228, 7020, 563, 31936, 267, 972, 616, 2141, 1007, 6937, 6932, 269, 769, 1249, 267, 6939, 19390, 22326, 5063, 20546, 539, 26030, 2264, 607, 519, 1283, 6880, 3354, 3463, 269, 1403, 596, 5749, 1406, 5432, 609, 6939, 19390, 22326, 267, 1934, 779, 875, 621, 1568, 269, 1879, 513, 6408, 779, 2780, 568, 7783, 267, 519, 18453, 554, 6359, 2931, 922, 17765, 630, 531, 784, 609, 7366, 610, 1256, 5215, 540, 824, 7783, 5904, 264, 547, 9553, 15170, 269, 898, 779, 513, 1966, 267, 1317, 621, 25815, 707, 2780, 779, 2773, 543, 4679, 1379, 4616, 563, 2026, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 5031, 875, 519, 4079, 538, 519, 3209, 3310, 554, 3089, 781, 5133, 593, 1272, 1000, 664, 781, 3854, 5339, 3693, 547, 9585, 713, 9028, 568, 24337, 269, 0, 2414, 1628, 513, 3595, 13544, 561, 5064, 519, 1289, 540, 519, 3552, 13544, 561, 5064, 538, 519, 1032, 540, 519, 1630, 541, 543, 13544, 773, 3775, 8657, 914, 974, 536, 7776, 18459, 1297, 519, 6801, 3138, 529, 1970, 787, 519, 575, 1853, 519, 524, 2532, 540, 993, 2632, 650, 5964, 1196, 3258, 782, 534, 1093, 324, 14270, 324, 807, 1196, 3258, 782, 534, 1093, 324, 519, 2887, 540, 519, 2777, 540, 721, 615, 269, 634, 524, 2532, 540, 993, 2632, 650, 5964, 513, 3992, 1544, 585, 9344, 476, 280, 1700, 1015, 7005, 1893, 6575, 543, 7005, 1893, 1646, 519, 2110, 1650, 519, 524, 2532, 540, 993, 2632, 650, 5964, 267, 676, 1196, 3258, 782, 534, 1093, 324, 568, 606, 2500, 28379, 585, 3450, 7005, 1775, 5339, 2474, 2489, 2200, 585, 4485, 547, 5339, 2079, 547, 1628, 513, 3595, 676, 13544, 561, 5064, 695, 15879, 641, 781, 8638, 269, 8550, 5855, 827, 1714, 320, 3992, 4566, 1586, 4734, 593, 942, 2141, 581, 4712, 723, 942, 547, 3446, 4574, 519, 2347, 1714, 320, 3992, 4566, 4015, 3568, 2347, 4559, 4566, 585, 476, 3451, 2110, 2984, 267, 476, 1556, 6965, 4559, 267, 782, 2010, 540, 1603, 267, 476, 274, 9089, 267, 476, 273, 12335, 534, 4249, 267, 543, 606, 12473, 6648, 269, 3776, 1034, 2347, 1353, 10274, 4183, 513, 9488, 2079, 540, 519, 960, 267, 1519, 606, 4367, 267, 4729, 5758, 267, 1915, 2079, 267, 4901, 540, 4798, 267, 32461, 540, 3370, 9880, 267, 543, 1454, 269, 589, 1305, 540, 2238, 585, 946, 609, 519, 1650, 968, 1729, 1628, 513, 3595, 892, 676, 13544, 561, 5064, 2882, 2542, 2238, 7132, 513, 3099, 540, 1644, 3785, 1269, 2882, 2238, 585, 968, 1492, 24564, 779, 30392, 2223, 968, 1492, 10828, 540, 3207, 344, 17860, 2223, 968, 1492, 524, 2532, 540, 993, 2632, 650, 5964, 2223, 543, 968, 1492, 986, 1597, 892, 849, 2882, 519, 17559, 1650, 5339, 2079, 543, 519, 563, 763, 524, 2532, 540, 993, 2632, 650, 5964, 1196, 3258, 782, 523, 1093, 324, 3159, 281, 552, 24809, 6249, 281, 20947, 666, 581, 20807, 532, 3006, 1919, 1810, 1405, 960, 856, 519, 1259, 596, 1616, 873, 547, 547, 1628, 513, 3595, 13544, 561, 5064, 3159, 281, 12357, 6249, 281, 2760, 771, 27920, 2470, 609, 782, 17514, 10760, 32319, 1119, 2401, 3159, 281, 1769, 13463, 14975, 6249, 281, 596, 1118, 707, 1378, 3664, 269, 16520, 2609, 543, 519, 2110, 1650, 713, 1770, 267, 519, 1101, 540, 3670, 267, 3096, 519, 2110, 1650, 607, 519, 971, 607, 968, 4812, 540, 2070, 892, 538, 968, 1492, 524, 2532, 540, 993, 2632, 650, 5964, 892, 676, 1196, 3258, 782, 534, 1093, 324, 610, 968, 32188, 1143, 892, 538, 968, 1492, 25243, 16481, 529, 892, 676, 28642, 9292, 560, 3610, 968, 1729, 1628, 513, 3595, 892, 263, 329, 871, 561, 5064, 264, 968, 1492, 25243, 16481, 529, 892, 630, 329, 1868, 9292, 560, 264, 519, 8405, 331, 864, 630, 334, 29165, 269, 1284, 1683, 1164, 2298, 1557, 1603, 2533, 593, 513, 476, 2190, 270, 278, 4493, 3312, 4574, 267, 3728, 2490, 19925, 543, 10257, 5777, 1289, 721, 17167, 6954, 693, 476, 272, 268, 279, 5780, 268, 18597, 268, 30663, 277, 269, 26766, 781, 519, 524, 2532, 540, 993, 2632, 650, 5964, 281, 5758, 543, 2079, 538, 13544, 561, 5064, 781, 15234, 1729, 1628, 513, 3595, 267, 5257, 519, 9000, 540, 3141, 2337, 1711, 519, 14815, 540, 513, 10792, 1604, 267, 835, 602, 568, 711, 12391, 610, 563, 24145, 776, 2079, 1557, 538, 968, 1492, 1876, 540, 1272, 5608, 13544, 561, 5064, 20186, 519, 967, 29924, 540, 2470, 267, 799, 8060, 22038, 540, 606, 2025, 8783, 540, 606, 1965, 330, 24982, 14316, 713, 1557, 568, 13991, 547, 519, 2079, 540, 6249, 540, 1175, 20947, 593, 519, 4493, 540, 1079, 8941, 968, 7749, 1922, 5766, 892, 543, 968, 1492, 524, 2532, 540, 993, 2632, 650, 5964, 892, 676, 1196, 3258, 782, 534, 1093, 324, 20947, 568, 5156, 547, 269, 5192, 713, 689, 513, 5399, 2110, 2984, 585, 1053, 4320, 476, 278, 2433, 9306, 2079, 267, 2796, 267, 543, 9880, 593, 4122, 6594, 2110, 2984, 1496, 4275, 1665, 2113, 928, 316, 4534, 1142, 7127, 3568, 2278, 12092, 267, 4729, 5758, 267, 3197, 267, 4798, 267, 2511, 267, 3140, 2796, 267, 2565, 7650, 267, 543, 9880, 269, 4340, 547, 2619, 22772, 619, 5339, 9880, 568, 519, 6268, 267, 2079, 267, 6609, 267, 610, 7664, 540, 5339, 1568, 621, 568, 2356, 538, 519, 1106, 540, 513, 2565, 1557, 972, 616, 1082, 2010, 540, 5339, 9880, 971, 607, 2686, 267, 18840, 20200, 531, 630, 332, 2814, 1670, 1070, 2261, 343, 626, 267, 15594, 270, 14054, 267, 543, 1082, 811, 269, 1323, 2079, 540, 519, 812, 779, 3134, 13023, 1415, 538, 968, 1729, 1628, 513, 3595, 892, 519, 2110, 1650, 968, 1729, 1628, 513, 3595, 2223, 2854, 676, 13544, 561, 5064, 267, 568, 513, 13249, 9661, 540, 606, 936, 20813, 1211, 267, 538, 23024, 27624, 812, 10707, 998, 519, 22266, 267, 1016, 6954, 4506, 2175, 540, 519, 586, 4157, 517, 609, 1152, 519, 31070, 540, 513, 2915, 563, 16248, 1806, 540, 713, 2956, 666, 581, 6045, 998, 547, 1628, 513, 3595, 676, 13544, 561, 5064, 543, 519, 524, 2532, 540, 519, 993, 2632, 650, 5964, 676, 1196, 3258, 782, 534, 1093, 324, 543, 513, 12816, 2619, 676, 552, 644, 7702, 7143, 1399, 519, 5468, 1031, 538, 891, 2984, 1305, 519, 3988, 7099, 269, 968, 1492, 1650, 3297, 519, 524, 2532, 540, 993, 2632, 650, 5964, 892, 676, 1196, 1189, 887, 933, 6777, 2328, 513, 5339, 2079, 1210, 519, 1489, 540, 3119, 2959, 1455, 3853, 281, 3206, 543, 14379, 1224, 1344, 9691, 547, 1020, 1620, 540, 2035, 267, 3584, 543, 2152, 968, 1729, 1628, 513, 3595, 892, 676, 13544, 561, 5064, 269, 9085, 543, 922, 5830, 281, 513, 11741, 4367, 547, 5708, 267, 6965, 267, 513, 11741, 4367, 547, 5708, 267, 6965, 267, 543, 12416, 1315, 7160, 476, 277, 4276, 281, 546, 327, 1876, 5270, 267, 593, 1093, 324, 781, 519, 2887, 540, 519, 2777, 540, 721, 615, 543, 519, 524, 2532, 540, 993, 2632, 650, 5964, 13544, 561, 5064, 547, 1628, 513, 3595, 18560, 632, 544, 879, 10139, 656, 519, 8405, 331, 864, 4276, 281, 737, 622, 14299, 514, 11783, 910, 22509, 17495, 12976, 538, 547, 1628, 513, 3595, 538, 519, 1650, 547, 1628, 513, 3595, 676, 13544, 561, 5064, 267, 22509, 17495, 12976, 568, 1419, 1031, 538, 713, 1650, 22509, 17495, 12976, 568, 606, 2500, 1259, 547, 1628, 909, 513, 6172, 1314, 519, 22509, 17495, 12976, 568, 1312, 3254, 676, 519, 1604, 543, 1919, 519, 3197, 2161, 563, 12845, 3315, 2763, 5339, 3457, 2625, 532, 2079, 2625, 532, 2079, 3040, 968, 1729, 1628, 513, 3595, 892, 676, 13544, 561, 5064, 3040, 968, 1492, 1650, 540, 1596, 9220, 639, 543, 5774, 7702, 779, 4216, 892, 676, 28642, 24052, 7773, 3040, 21626, 689, 18367, 18315, 676, 29827, 6692, 2917, 3040, 968, 1492, 524, 2532, 540, 993, 2632, 650, 5964, 892, 676, 1196, 3258, 782, 534, 1093, 324, 269, 13823, 806, 5339, 8658, 607, 789, 4019, 547, 7819, 2110, 5708, 689, 519, 3735, 476, 1015, 628, 2540, 547, 519, 1459, 267, 5356, 1164, 1153, 543, 15938, 1053, 513, 2324, 5748, 540, 5339, 1224, 811, 269, 10374, 1650, 281, 519, 524, 2532, 540, 993, 2632, 650, 5964, 676, 1196, 3258, 782, 534, 1093, 324, 4019, 519, 2262, 2079, 4640, 543, 2796, 10881, 547, 1224, 14542, 1913, 543, 1628, 6863, 5578, 281, 4983, 875, 4589, 946, 5339, 2609, 971, 607, 4259, 267, 11052, 267, 543, 18572, 547, 3715, 7099, 543, 3159, 269, 1677, 1628, 513, 3595, 630, 5002, 279, 264, 676, 13544, 561, 5064, 513, 5929, 812, 8957, 2470, 1650, 1305, 538, 519, 586, 4157, 517, 8513, 538, 32720, 28492, 519, 2915, 1705, 711, 917, 4376, 827, 5687, 18852, 855, 621, 1185, 519, 2631, 547, 917, 602, 621, 729, 1100, 942, 585, 21409, 563, 24145, 776, 2079, 2875, 5299, 23345, 676, 538, 31649, 277, 3451, 585, 5816, 4688, 5339, 2079, 2875, 5299, 585, 2663, 11099, 621, 568, 538, 1196, 3258, 782, 534, 1093, 324, 781, 519, 524, 2532, 540, 993, 2632, 650, 5964, 5758, 281, 538, 519, 1650, 267, 1395, 339, 637, 528, 6645, 519, 5467, 602, 646, 729, 29405, 539, 676, 1383, 540, 513, 27764, 32142, 2511, 5037, 689, 547, 1628, 513, 3595, 676, 13544, 561, 5064, 1888, 4845, 269, 589, 5339, 2079, 543, 513, 6476, 540, 547, 1628, 513, 3595, 676, 13544, 561, 5064, 543, 519, 524, 2532, 540, 519, 993, 2632, 650, 5964, 676, 1196, 3258, 782, 534, 1093, 324, 543, 513, 12816, 2619, 676, 552, 644, 7702, 7143, 1399, 269, 8422, 1806, 540, 713, 2956, 666, 581, 6045, 998, 968, 1729, 1628, 513, 3595, 892, 676, 13544, 561, 5064, 543, 968, 1492, 524, 2532, 540, 519, 993, 2632, 650, 5964, 892, 676, 1196, 3258, 782, 534, 1093, 324, 543, 968, 320, 12816, 2619, 892, 676, 552, 644, 7702, 7143, 1399, 519, 5468, 1031, 538, 891, 2984, 1305, 519, 5467, 779, 7099, 269, 634, 524, 2532, 540, 993, 2632, 650, 5964, 519, 524, 2532, 540, 993, 2632, 650, 5964, 606, 2079, 540, 519, 524, 2532, 540, 993, 2632, 650, 5964, 538, 519, 524, 2532, 540, 993, 2632, 650, 5964, 1196, 3258, 782, 534, 1093, 324, 3217, 721, 593, 513, 7552, 883, 519, 2247, 540, 513, 14834, 812, 519, 1650, 12211, 513, 29695, 20947, 1500, 1256, 811, 29695, 676, 519, 1249, 602, 519, 642, 3188, 766, 568, 1373, 3144, 950, 1100, 1483, 25213, 1185, 1044, 2016, 563, 763, 524, 2532, 540, 993, 2632, 650, 5964, 568, 2808, 547, 581, 835, 540, 519, 1655, 2110, 2984, 2854, 676, 1196, 3258, 782, 534, 1093, 324, 538, 1101, 1268, 543, 2348, 782, 519, 1292, 2621, 607, 513, 1614, 4627, 2985, 5708, 1433, 267, 519, 524, 2532, 540, 993, 2632, 650, 5964, 568, 513, 2347, 3209, 269, 634, 1650, 968, 1729, 1628, 513, 3595, 892, 676, 13544, 561, 5064, 568, 827, 513, 812, 6560, 609, 2470, 543, 1010, 17418, 547, 3972, 1010, 1480, 15859, 267, 543, 538, 1196, 3258, 782, 523, 1093, 324, 779, 1650, 968, 1492, 9661, 2389, 749, 2295, 892, 568, 827, 513, 812, 945, 605, 8010, 338, 646, 568, 711, 21173, 855, 4566, 543, 4291, 2373, 519, 12638, 540, 606, 2025, 812, 269, 634, 524, 2532, 540, 993, 2632, 650, 5964, 267, 513, 5929, 331, 2110, 1650, 713, 2140, 2934, 3140, 543, 3879, 13577, 6337, 267, 607, 1134, 607, 5618, 2278, 12092, 543, 5813, 1650, 2079, 547, 1628, 513, 3595, 281, 543, 824, 2984, 13544, 561, 5064, 3908, 12744, 910, 476, 1960, 280, 547, 1628, 513, 3595, 13544, 561, 5064, 3908, 12744, 910, 476, 1220, 278, 563, 763, 524, 2532, 540, 993, 2632, 650, 5964, 267, 676, 1196, 3258, 782, 523, 1093, 324, 547, 1628, 513, 3595, 267, 676, 13544, 561, 5064, 519, 1930, 10935, 267, 676, 1900, 1156, 31219, 713, 4670, 1223, 581, 3730, 952, 596, 2811, 1210, 5929, 7819, 2110, 2984, 543, 3450, 1022, 540, 1000, 664, 781, 9089, 5007, 2200, 586, 1446, 6280, 781, 2609, 540, 519, 2110, 1650, 630, 344, 1446, 9254, 269, 3474, 1328, 6476, 3803, 1449, 900, 1176, 26863, 8657, 6965, 568, 513, 476, 274, 1554, 3992, 602, 3096, 10473, 547, 3382, 476, 279, 2110, 9954, 540, 900, 1176, 26863, 8657, 543, 513, 5373, 9706, 3317, 656, 2534, 609, 2079, 267, 1603, 267, 543, 6881, 547, 3382, 476, 1015, 811, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2488, 15417, 2666, 585, 14719, 908, 891, 2152, 2016, 922, 8561, 593, 513, 3838, 23835, 1108, 585, 2790, 543, 2168, 9988, 780, 1103, 3932, 267, 9243, 1395, 1143, 5713, 607, 513, 8903, 4244, 547, 2757, 12242, 2065, 543, 1570, 626, 6589, 540, 519, 2247, 23073, 1966, 269, 1635, 2022, 6819, 513, 4909, 10799, 23628, 21214, 1312, 2790, 543, 2168, 7516, 267, 28288, 540, 9243, 1395, 1143, 2709, 4195, 5380, 593, 32618, 10952, 598, 1495, 337, 4548, 543, 8300, 3209, 4485, 547, 5571, 3621, 13753, 883, 519, 2470, 540, 9637, 543, 17133, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1715, 2622, 11352, 568, 711, 1007, 269, 769, 1249, 621, 814, 11478, 585, 5215, 540, 1296, 269, 25491, 20770, 29547, 15244, 519, 1686, 540, 519, 1715, 2622, 11352, 689, 519, 18975, 540, 645, 8475, 547, 519, 10558, 1554, 538, 513, 2189, 6752, 602, 26779, 519, 19978, 2239, 609, 3140, 1239, 269, 589, 3833, 1202, 662, 995, 1224, 585, 1620, 519, 1158, 649, 2661, 538, 2221, 563, 15648, 476, 1001, 274, 28543, 25020, 454, 1607, 1433, 568, 3370, 11884, 269, 1403, 621, 26110, 547, 596, 267, 5225, 2015, 513, 6700, 21856, 269, 2353, 2924, 27616, 454, 7069, 20712, 20770, 568, 5189, 547, 721, 538, 4860, 476, 1704, 268, 1240, 269, 4173, 2012, 568, 25491, 267, 865, 1352, 568, 6456, 689, 1857, 2070, 269, 634, 1257, 3081, 602, 1352, 568, 519, 2749, 602, 3652, 936, 519, 15438, 540, 519, 3618, 269, 25491, 20770, 568, 267, 1287, 267, 513, 5728, 2146, 602, 3652, 936, 519, 6608, 540, 519, 3618, 563, 7069, 20712, 20770, 568, 4843, 607, 513, 4807, 563, 9824, 16406, 543, 2686, 1949, 616, 1419, 4843, 538, 23075, 538, 519, 3239, 540, 2021, 269, 31694, 5961, 519, 5939, 607, 519, 27379, 540, 2441, 269, 630, 1607, 4276, 568, 12799, 3989, 538, 661, 874, 476, 276, 281, 2420, 268, 3953, 4700, 670, 846, 320, 1219, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10468, 23018, 3933, 1143, 257, 607, 851, 540, 834, 15771, 6579, 5308, 8008, 14176, 1315, 9650, 1299, 10610, 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, 6637, 476, 280, 281, 3203, 543, 9177, 910, 634, 9452, 540, 6341, 15351, 570, 520, 879, 4860, 1388, 1436, 692, 5970, 596, 2479, 4862, 540, 21003, 657, 602, 2995, 2984, 286, 2107, 21003, 657, 602, 1397, 707, 6561, 543, 3961, 286, 4270, 267, 2221, 649, 2811, 2469, 547, 1451, 827, 1175, 971, 513, 1826, 540, 31024, 1572, 1412, 339, 520, 879, 10086, 799, 814, 922, 5072, 538, 519, 4190, 6532, 4182, 540, 6341, 10394, 2439, 21579, 10394, 267, 4092, 538, 519, 7414, 7909, 267, 568, 1500, 909, 540, 8370, 15027, 10195, 4904, 609, 18932, 31140, 267, 2312, 4544, 7297, 267, 543, 7874, 17137, 1634, 607, 6341, 334, 753, 269, 1280, 5553, 267, 6341, 334, 753, 723, 1044, 1210, 512, 520, 879, 607, 513, 1259, 547, 2769, 2933, 267, 8661, 1271, 1272, 2621, 267, 543, 1921, 609, 741, 11937, 269, 1809, 1018, 2306, 891, 21003, 657, 865, 2027, 286, 2913, 781, 4685, 883, 713, 4241, 1148, 1106, 1927, 2439, 1262, 1432, 1281, 834, 339, 520, 879, 257, 1611, 15140, 1103, 519, 6341, 15351, 1893, 267, 834, 339, 520, 879, 257, 1797, 1312, 834, 1729, 10880, 257, 543, 834, 1492, 1374, 3976, 4294, 1701, 1452, 1913, 9985, 7001, 875, 6946, 3270, 616, 31960, 5196, 1004, 781, 2960, 1210, 11495, 2645, 256, 27603, 267, 5159, 946, 513, 1507, 2036, 1500, 856, 540, 5642, 610, 7387, 7923, 547, 513, 11308, 6023, 269, 1358, 16702, 621, 538, 13504, 1500, 689, 3529, 13626, 610, 4796, 6352, 583, 865, 582, 267, 1287, 7148, 621, 11733, 1227, 1996, 519, 2960, 609, 513, 6263, 4731, 2280, 269, 1306, 789, 3136, 713, 1184, 936, 1896, 3108, 610, 1256, 2395, 267, 2189, 6272, 10836, 1107, 1142, 835, 10213, 513, 1650, 540, 1920, 267, 4222, 267, 7326, 267, 610, 2648, 780, 1262, 3963, 941, 512, 1092, 639, 13840, 1713, 15140, 2690, 1082, 1296, 267, 1152, 2367, 1223, 4309, 2407, 1560, 17015, 1572, 890, 262, 320, 1247, 2021, 20595, 4130, 3283, 1572, 544, 2728, 593, 741, 25427, 338, 269, 25547, 1516, 513, 512, 520, 879, 6825, 15296, 543, 1129, 1881, 1514, 7555, 1369, 519, 2146, 269, 2782, 19144, 1131, 4159, 14969, 512, 1092, 639, 29544, 10100, 543, 23258, 267, 1818, 873, 12194, 727, 17837, 593, 519, 25071, 269, 4634, 8783, 338, 1185, 1808, 7436, 3954, 7627, 7584, 543, 1379, 269, 10251, 267, 1282, 3864, 17091, 267, 512, 520, 879, 532, 2968, 1447, 2442, 1813, 547, 2942, 11994, 13684, 676, 16080, 11107, 269, 30586, 267, 972, 814, 1044, 17105, 1719, 1851, 7820, 5481, 16994, 593, 8497, 543, 4687, 741, 2686, 9371, 780, 1262, 17457, 4303, 570, 520, 879, 4860, 2526, 4373, 9209, 1235, 899, 590, 21343, 262, 1901, 8891, 601, 334, 543, 2672, 262, 320, 8834, 25109, 643, 2967, 723, 6131, 741, 2729, 547, 2847, 1516, 2757, 2717, 2106, 14198, 31024, 2853, 267, 1519, 512, 520, 879, 532, 269, 1635, 3450, 29095, 267, 10707, 18368, 547, 2671, 741, 4739, 267, 543, 23712, 609, 15882, 543, 26847, 267, 891, 18544, 1832, 3504, 2553, 9800, 1247, 4946, 2413, 23538, 269, 27009, 267, 4896, 666, 1205, 513, 512, 520, 879, 7488, 540, 4008, 610, 4282, 282, 2705, 267, 1620, 922, 3140, 4644, 8591, 3178, 543, 2495, 950, 9849, 835, 780, 1262, 12244, 5384, 256, 4373, 5331, 8888, 707, 1378, 2123, 512, 520, 879, 6273, 676, 707, 2833, 267, 2418, 267, 610, 17050, 269, 1548, 6698, 610, 4778, 1131, 596, 3442, 286, 1215, 2462, 1131, 621, 581, 286, 7316, 1131, 596, 1747, 621, 593, 707, 1560, 286, 8571, 707, 5137, 2630, 543, 2491, 1946, 596, 13603, 1346, 2609, 780, 3528, 1565, 827, 6341, 15351, 512, 520, 879, 267, 649, 4126, 596, 1745, 6273, 676, 519, 17381, 540, 2686, 4082, 1336, 1472, 519, 1158, 256, 5457, 267, 1169, 11247, 11438, 1686, 267, 2245, 267, 543, 7553, 1369, 621, 1107, 1454, 899, 938, 1360, 1378, 9163, 269, 5901, 3695, 267, 29681, 267, 543, 2870, 267, 15210, 2875, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21766, 27114, 6673, 12195, 312, 454, 10743, 540, 2681, 543, 5924, 1053, 609, 2883, 991, 945, 7390, 10821, 3506, 538, 7137, 802, 10921, 6019, 630, 29155, 802, 10921, 267, 11370, 868, 517, 543, 7323, 8065, 779, 3506, 267, 645, 731, 9142, 693, 17363, 779, 9412, 1916, 763, 13983, 2643, 1442, 13235, 8750, 729, 3964, 693, 7137, 802, 10921, 570, 659, 4577, 7991, 7690, 1739, 519, 27072, 540, 519, 13983, 2643, 1442, 13235, 630, 288, 14568, 26554, 264, 3919, 269, 634, 2508, 779, 5692, 568, 547, 1489, 519, 3872, 1646, 540, 1053, 540, 2681, 543, 5924, 1053, 540, 1970, 14227, 4567, 538, 9344, 840, 11860, 998, 476, 1321, 630, 663, 741, 3885, 264, 547, 2333, 1569, 547, 3255, 267, 7390, 2852, 267, 543, 2417, 1020, 741, 5718, 538, 519, 6626, 2146, 269, 901, 2508, 849, 7028, 18371, 2069, 538, 3506, 547, 519, 4324, 540, 782, 15295, 2516, 563, 306, 3273, 1513, 1222, 7616, 786, 1683, 1489, 547, 7390, 7137, 802, 10921, 6019, 1164, 3506, 267, 609, 519, 3804, 540, 645, 7709, 8016, 543, 5924, 1970, 13867, 1053, 4743, 5423, 585, 543, 11543, 16075, 547, 2852, 610, 824, 2022, 29364, 776, 3872, 5238, 269, 4841, 616, 711, 1270, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 1977, 1315, 7489, 1977, 1299, 7414, 29474, 1315, 6341, 15351, 570, 520, 879, 4860, 1388, 1436, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 8080, 547, 713, 3184, 827, 17896, 681, 4618, 2817, 1143, 256, 1411, 1522, 581, 11842, 267, 1018, 568, 18541, 286, 4270, 267, 18541, 568, 950, 1004, 1745, 2731, 10583, 543, 4448, 547, 741, 2197, 610, 4182, 269, 1358, 1616, 741, 4182, 547, 581, 4830, 543, 1582, 3766, 1478, 940, 269, 4653, 267, 649, 786, 1451, 827, 875, 17896, 22656, 267, 513, 1747, 609, 513, 2189, 1686, 543, 2528, 267, 814, 17388, 585, 7115, 543, 6284, 607, 513, 4182, 780, 4131, 781, 1376, 676, 1620, 1141, 17896, 22656, 568, 4092, 269, 17896, 22656, 568, 513, 4190, 6532, 13883, 538, 519, 12144, 7256, 267, 2282, 8419, 538, 519, 2136, 2276, 269, 898, 568, 2965, 2808, 513, 8513, 540, 519, 2136, 2276, 267, 799, 1797, 602, 1256, 1498, 621, 814, 930, 13190, 267, 621, 1281, 711, 723, 782, 519, 2924, 540, 513, 4628, 4830, 2197, 269, 901, 3510, 814, 3366, 547, 1114, 8369, 1851, 17896, 681, 15092, 3823, 741, 2078, 609, 519, 772, 2529, 1421, 1519, 1346, 945, 12167, 585, 2347, 7115, 780, 3086, 267, 1577, 781, 4685, 883, 17896, 681, 4618, 18541, 256, 17896, 681, 4618, 3084, 1235, 3494, 602, 17896, 22656, 1058, 581, 606, 7357, 5094, 543, 19988, 4182, 267, 1863, 689, 1022, 1977, 1852, 269, 10801, 1686, 267, 972, 723, 1044, 1082, 2621, 543, 5515, 602, 8032, 17896, 681, 4618, 28929, 5322, 269, 2913, 781, 2263, 873, 1927, 2439, 3080, 1271, 2680, 729, 519, 5053, 12677, 2782, 538, 476, 6245, 279, 269, 4438, 713, 2112, 267, 519, 2136, 2276, 3576, 1852, 540, 17896, 22656, 689, 8050, 269, 4595, 1287, 267, 17896, 22656, 814, 1185, 1585, 3029, 540, 10350, 896, 519, 772, 2529, 1421, 4929, 8082, 1063, 1346, 945, 4941, 2407, 5610, 609, 519, 772, 2529, 269, 543, 1346, 945, 5551, 2698, 7115, 780, 5194, 1898, 2460, 540, 17896, 681, 4618, 18541, 568, 922, 3638, 2686, 6561, 269, 3245, 922, 7524, 2575, 267, 8949, 1426, 267, 543, 18512, 15976, 267, 17896, 681, 15092, 1491, 1390, 11348, 538, 741, 9821, 269, 4256, 1893, 267, 5053, 267, 4249, 513, 1713, 1909, 538, 5935, 741, 3961, 1932, 269, 1635, 8497, 891, 5389, 267, 17896, 681, 4618, 3084, 1235, 11168, 741, 3982, 4369, 3379, 547, 4892, 780, 2467, 616, 849, 1896, 1883, 5515, 538, 17896, 681, 4618, 18541, 596, 1058, 917, 827, 269, 1280, 3236, 267, 10548, 11252, 2506, 2678, 1470, 5975, 1734, 729, 606, 9565, 6205, 1282, 519, 3735, 476, 5197, 271, 338, 945, 10692, 1996, 5053, 4341, 543, 23647, 585, 17896, 681, 4618, 7115, 269, 2859, 5063, 267, 700, 7035, 320, 2274, 1962, 11252, 3366, 513, 1895, 540, 3084, 1235, 538, 606, 4323, 593, 519, 772, 2529, 269, 7167, 20738, 538, 476, 4198, 275, 547, 2721, 3007, 547, 519, 2014, 585, 17896, 681, 4618, 7115, 269, 1452, 12703, 2043, 1981, 539, 741, 2729, 547, 4339, 585, 741, 4978, 543, 8300, 2104, 5481, 780, 9961, 519, 1296, 267, 17896, 681, 4618, 3084, 1235, 723, 1031, 1585, 2409, 547, 2769, 741, 7287, 585, 7115, 269, 2368, 12560, 2081, 1331, 12180, 17600, 267, 2870, 1148, 267, 543, 10283, 538, 2797, 11044, 269, 1717, 267, 1866, 723, 759, 9285, 547, 5208, 267, 899, 10514, 902, 543, 6285, 13389, 6698, 540, 1977, 1379, 269, 2755, 10795, 3527, 616, 2760, 7873, 19861, 267, 789, 9414, 519, 6612, 543, 8990, 3297, 519, 3350, 780, 1103, 2487, 2053, 267, 17896, 22656, 4371, 1079, 22275, 526, 4548, 630, 338, 2133, 16018, 264, 593, 2436, 547, 1831, 513, 1533, 610, 2226, 922, 1699, 4567, 269, 10251, 267, 1312, 16018, 941, 11786, 1813, 547, 1970, 2490, 8083, 543, 2055, 936, 14496, 269, 11048, 267, 5717, 1472, 17896, 22656, 781, 2797, 12556, 3136, 2221, 780, 2026, 596, 666, 1294, 267, 17896, 681, 4618, 18541, 3322, 1950, 4606, 543, 3871, 269, 5664, 1153, 1053, 899, 596, 949, 4898, 952, 17896, 22656, 786, 2479, 3035, 3020, 7115, 269, 4014, 1100 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 589, 3556, 568, 13603, 693, 4351, 689, 519, 5722, 6486, 269, 623, 815, 2680, 540, 8939, 513, 3556, 609, 513, 4484, 1627, 815, 2680, 540, 8939, 513, 3556, 609, 513, 27901, 610, 2789, 540, 476, 274, 5903, 782, 519, 2609, 540, 630, 320, 264, 1305, 623, 630, 321, 264, 1305, 1627, 8382, 281, 630, 320, 264, 30957, 16634, 630, 321, 264, 30957, 2507, 476, 274, 269, 623, 681, 744, 645, 589, 645, 594, 700, 594, 570, 962, 667, 8656, 16165, 4456, 476, 273, 12810, 476, 273, 2982, 6486, 609, 519, 5022, 616, 2322, 538, 513, 4216, 269, 589, 3556, 568, 13603, 14477, 689, 519, 4216, 269, 634, 2698, 1297, 540, 2609, 538, 519, 3732, 2230, 568, 8796, 8382, 281, 30957, 8796, 2560, 907, 476, 10602, 454, 273, 269, 476, 273, 269, 533, 1440, 13004, 562, 321, 330, 476, 275, 269, 5565, 11113, 616, 19184, 539, 269, 5903, 782, 519, 2609, 540, 519, 3732, 2230, 799, 14183, 519, 2175, 2630, 269, 630, 320, 264, 5565, 8188, 616, 519, 1482, 630, 321, 264, 5565, 8188, 616, 1114, 8382, 2433, 630, 320, 264, 30957, 2507, 630, 321, 264, 2560, 16414, 8796, 2507, 907, 476, 276, 269, 589, 4216, 3568, 1896, 27371, 269, 20640, 540, 519, 27371, 616, 4544, 269, 1403, 513, 18899, 568, 476, 273, 14477, 5697, 689, 519, 4216, 267, 519, 5506, 602, 621, 568, 513, 4544, 18899, 568, 1547, 476, 278, 4475, 267, 519, 2698, 1297, 540, 27371, 538, 519, 4216, 568, 2507, 907, 8382, 2433, 2560, 30957, 476, 277, 269, 9122, 593, 519, 4365, 2594, 540, 513, 3148, 267, 621, 568, 1336, 602, 519, 5506, 540, 513, 1554, 476, 273, 1373, 24925, 568, 1547, 4855, 519, 4397, 1297, 540, 24925, 2395, 538, 513, 1032, 538, 519, 476, 276, 3148, 269, 8382, 2433, 2560, 30957, 907, 476, 278, 269, 4438, 1200, 1353, 538, 8581, 267, 9947, 4660, 1695, 4607, 476, 276, 670, 926, 681, 11535, 6486, 1200, 1920, 267, 476, 1015, 670, 926, 681, 11535, 6486, 689, 1200, 14077, 543, 476, 1428, 670, 926, 681, 11535, 6486, 689, 1200, 2828, 269, 1403, 513, 670, 926, 681, 11535, 3556, 602, 9947, 4660, 1695, 4607, 568, 5697, 693, 4351, 267, 1533, 519, 5506, 602, 519, 670, 926, 681, 11535, 3556, 630, 320, 264, 568, 2366, 676, 1200, 1920, 630, 321, 264, 568, 711, 2366, 676, 1200, 14077, 8382, 2433, 630, 320, 264, 2560, 16414, 8796, 2507, 907, 630, 321, 264, 30957, 2507, 476, 6507, 454, 274, 269, 476, 274, 269, 533, 1440, 13004, 562, 321, 330, 476, 279, 269, 589, 4216, 3568, 476, 18231, 27371, 540, 799, 476, 6344, 616, 2699, 267, 543, 519, 1964, 616, 3039, 610, 3043, 269, 1403, 513, 18899, 568, 13603, 693, 4351, 689, 519, 4216, 267, 519, 5506, 540, 16116, 476, 272, 513, 3039, 18899, 568, 1547, 1215, 1082, 3043, 27371, 616, 972, 286, 476, 275, 8382, 2433, 2560, 30957, 476, 280, 269, 769, 513, 1895, 540, 476, 12893, 1053, 267, 476, 3199, 616, 6690, 269, 589, 2417, 476, 276, 8695, 1287, 6443, 519, 1895, 269, 1403, 513, 2875, 568, 6074, 693, 4351, 689, 519, 1895, 267, 1533, 519, 5506, 602, 519, 2875, 6074, 568, 513, 7911, 269, 8382, 2433, 2560, 30957, 907, 476, 1015, 269, 674, 822, 712, 924, 2051, 712, 4414, 5682, 9791, 22039, 476, 4037, 476, 3445, 1535, 570, 21764, 476, 272, 7305, 476, 272, 2982, 519, 2164, 540, 513, 5619, 593, 519, 19463, 15437, 540, 1053, 538, 513, 1153, 269, 630, 320, 264, 1403, 513, 2875, 568, 6074, 689, 519, 1153, 267, 519, 5506, 602, 519, 2875, 779, 476, 272, 19463, 7990, 568, 2699, 568, 1547, 4855, 519, 1871, 540, 1535, 269, 476, 275, 630, 321, 264, 1403, 476, 1911, 1053, 941, 6074, 689, 519, 1153, 267, 3589, 519, 1297, 540, 1053, 4171, 19463, 7990, 568, 3039, 8382, 2433, 630, 320, 264, 2560, 16414, 8796, 2507, 907, 630, 321, 264, 16414, 8796, 2507, 907, 476, 4281, 454, 275, 269, 476, 275, 269, 533, 1440, 13004, 562, 321, 330, 32516, 476, 278, 2433, 11550, 289, 5723, 6579, 14510, 476, 272, 12327, 2207, 290, 30990, 476, 273, 476, 272, 1547, 589, 9126, 3568, 476, 274, 4544, 11084, 267, 476, 275, 3043, 11084, 543, 476, 273, 3039, 11084, 269, 589, 3440, 568, 6537, 689, 519, 9126, 269, 634, 1297, 540, 2609, 538, 519, 3732, 2230, 568, 2560, 8796, 269, 8382, 281, 2560, 30957, 269, 476, 273, 1547, 589, 4484, 568, 13603, 693, 4351, 689, 519, 2262, 2048, 623, 681, 744, 645, 589, 645, 594, 700, 594, 570, 962, 11313, 1547, 3503, 519, 3693, 540, 2680, 799, 519, 20262, 5022, 616, 13603, 269, 8382, 281, 2560, 30957, 907, 476, 274, 1547, 589, 11777, 568, 19184, 539, 476, 274, 2053, 543, 519, 4093, 616, 6592, 269, 5903, 1524, 519, 2680, 540, 3478, 476, 273, 9843, 543, 513, 2766, 269, 8382, 281, 2560, 30957, 269, 476, 275, 1547, 589, 4216, 3568, 476, 276, 2699, 11084, 267, 476, 278, 3109, 11084, 543, 476, 274, 5835, 11084, 269, 1403, 513, 3440, 568, 13603, 693, 4351, 689, 519, 4216, 2073, 1533, 519, 5506, 602, 621, 568, 2699, 538, 7990, 269, 8382, 281, 2560, 30957, 269, 476, 8064, 454, 276, 269, 476, 276, 269, 533, 1440, 13004, 562, 321, 330, 476, 272, 476, 276, 1547, 769, 513, 7688, 267, 519, 5506, 540, 513, 2319, 10024, 10859, 1922, 1400, 568, 1547, 1403, 972, 616, 476, 2764, 6887, 476, 275, 2921, 851, 538, 519, 7688, 267, 1265, 519, 1297, 540, 6887, 4397, 547, 4283, 519, 10859, 1922, 1400, 269, 8382, 281, 2560, 30957, 907, 476, 272, 476, 277, 1547, 634, 5506, 540, 606, 9441, 4947, 3735, 547, 960, 593, 11728, 568, 1547, 1692, 476, 276, 1082, 9441, 616, 4397, 547, 2097, 3735, 547, 960, 593, 11728, 952, 972, 568, 513, 2698, 540, 476, 20862, 5520, 2324, 593, 602, 1554, 7790, 8382, 281, 2560, 30957, 2507, 907, 476, 278, 1547, 589, 9126, 3568, 513, 1297, 540, 11084, 267, 476, 2190, 540, 799, 616, 3039, 543, 519, 14230, 4544, 269, 1403, 513, 3440, 568, 6074, 693, 4351, 267, 519, 5506, 602, 621, 568, 3039, 568, 476, 271, 269, 279, 269, 4855, 519, 1297, 540, 4544, 11084, 538, 519, 9126, 269, 8382, 281, 2560, 30957, 16634, 476, 279, 1547, 589, 9126, 3568, 476, 3607, 1297, 6486, 267, 930, 540, 799, 616, 1256, 543, 519, 1964, 9642, 269, 634, 476, 272, 5506, 540, 513, 3556, 267, 6537, 693, 4351, 1373, 1256, 568, 1547, 4855, 519, 1297, 540, 9642, 476, 277, 1297, 6486, 269, 8382, 281, 2560, 30957, 2507, 907, 476, 3199, 454, 277, 269, 476, 277, 269, 533, 1440, 13004, 562, 321, 330, 476, 280, 1547, 589, 4216, 3568, 476, 1789, 2699, 23445, 267, 476, 2004, 3109, 23445, 543, 519, 14230, 616, 4544, 23445, 269, 589, 4050, 476, 276, 568, 6537, 693, 4351, 689, 519, 4216, 269, 1403, 519, 5506, 540, 5373, 513, 3109, 4050, 568, 2073, 476, 1626, 1265, 519, 1297, 540, 4544, 23445, 538, 519, 4216, 269, 8382, 281, 2560, 30957, 2507, 907, 476, 1015, 1547, 1403, 649, 3442, 835, 1297, 689, 1851, 519, 1101, 476, 1789, 10203, 2338, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 2507, 267, 476, 1789, 1265, 519, 5506, 602, 519, 6074, 1297, 568, 16883, 676, 476, 275, 269, 8382, 30957, 8796, 2507, 476, 10037, 454, 278, 269, 476, 278, 269, 533, 1440, 13004, 562, 321, 330, 32516, 476, 278, 2433, 11550, 289, 5723, 6579, 14510, 476, 272, 667, 8656, 294, 301, 5308, 12087, 570, 12239, 476, 272, 269, 769, 513, 1895, 540, 476, 3393, 1053, 267, 476, 3374, 616, 6690, 269, 589, 2417, 476, 276, 8695, 1287, 6443, 519, 1895, 269, 1403, 513, 2875, 568, 6074, 693, 4351, 689, 519, 1895, 267, 1533, 519, 5506, 602, 519, 2875, 568, 6074, 568, 513, 7911, 476, 274, 589, 476, 1015, 476, 272, 645, 476, 278, 476, 272, 595, 476, 1015, 476, 272, 667, 476, 274, 476, 273, 269, 589, 20220, 3568, 476, 17734, 26265, 540, 10538, 267, 11430, 3832, 324, 543, 6995, 30993, 269, 1703, 616, 476, 4366, 10538, 7657, 10696, 26265, 269, 1403, 513, 6653, 568, 13603, 693, 4351, 689, 519, 20220, 267, 519, 5506, 540, 476, 272, 16116, 513, 11430, 3832, 324, 7657, 10696, 6653, 568, 1547, 1215, 1082, 6995, 7657, 10696, 26265, 616, 476, 274, 972, 7790, 589, 476, 3445, 645, 476, 15171, 595, 476, 11793, 667, 476, 1626, 476, 274, 269, 476, 1626, 476, 1240, 476, 2420, 476, 2764, 476, 2568, 476, 10019, 667, 8656, 16165, 4456, 476, 272, 634, 6516, 476, 272, 2982, 930, 1297, 6486, 269, 1403, 513, 3556, 568, 13603, 14477, 267, 1265, 519, 5506, 602, 513, 2789, 540, 476, 275, 568, 13603, 269, 476, 273, 589, 476, 274, 476, 272, 645, 476, 273, 476, 272, 595, 476, 274, 476, 272, 667, 476, 277, 476, 11025, 454, 279, 269, 476, 279, 269, 533, 1440, 13004, 562, 321, 330, 476, 275, 269, 4438, 8285, 267, 4911, 11253, 2366, 476, 277, 28551, 6486, 547, 1200, 2828, 267, 476, 276, 28551, 6486, 547, 1200, 14077, 543, 476, 273, 28551, 6486, 547, 1200, 14552, 269, 1403, 513, 28551, 3556, 2366, 676, 4911, 11253, 568, 14477, 5697, 2073, 519, 5506, 602, 621, 729, 711, 2366, 547, 1200, 7015, 568, 476, 273, 589, 476, 1724, 476, 276, 645, 476, 1724, 476, 272, 595, 476, 277, 476, 1556, 667, 476, 1724, 476, 276, 269, 589, 1362, 814, 476, 1240, 8695, 543, 737, 6690, 269, 1403, 513, 2875, 568, 13603, 693, 4351, 689, 519, 1362, 267, 476, 275, 519, 5506, 602, 519, 2875, 13603, 568, 513, 8004, 568, 1547, 4855, 519, 1871, 540, 737, 269, 476, 278, 589, 476, 1240, 645, 476, 2190, 595, 476, 1789, 667, 476, 5655, 476, 277, 269, 634, 5506, 540, 670, 2378, 714, 7446, 513, 3039, 25549, 25099, 568, 476, 1428, 10065, 1403, 670, 2378, 714, 814, 476, 736, 695, 16630, 267, 875, 1082, 695, 16630, 616, 3039, 286, 589, 476, 274, 645, 476, 275, 595, 476, 276, 667, 476, 277, 476, 278, 269, 769, 513, 1895, 540, 15805, 267, 476, 1428, 540, 873, 5957, 29167, 269, 634, 5506, 540, 7446, 693, 476, 274, 4351, 513, 15805, 689, 519, 1895, 945, 31273, 513, 4585, 568, 1547, 1403, 1614, 14666, 945, 476, 276, 5957, 29167, 4734, 519, 1895, 267, 519, 5506, 540, 7446, 693, 4351, 513, 15805, 945, 31273, 513, 4585, 568, 476, 272, 589, 476, 2420, 476, 1321, 645, 476, 1839, 476, 277, 595, 476, 1556, 476, 1428, 667, 476, 1839, 476, 10695, 454, 280, 269, 476, 280, 269, 533, 1440, 13004, 562, 321, 330, 476, 279, 269, 589, 4216, 3568, 476, 2412, 2699, 16181, 543, 930, 3043, 16181, 269, 634, 5506, 540, 476, 276, 7446, 693, 4351, 513, 3043, 7735, 689, 519, 4216, 568, 1547, 4855, 519, 1297, 540, 476, 278, 3043, 16181, 538, 519, 4216, 269, 589, 476, 6321, 645, 476, 1911, 595, 476, 6344, 667, 476, 9610, 476, 280, 269, 769, 513, 11176, 6474, 1063, 2319, 623, 543, 2319, 1627, 267, 519, 5506, 602, 2319, 623, 476, 272, 476, 273, 786, 3094, 568, 543, 519, 5506, 602, 2319, 1627, 786, 3094, 568, 1547, 634, 5506, 476, 273, 476, 278, 602, 519, 6474, 786, 581, 513, 2721, 568, 476, 272, 589, 476, 278, 476, 274, 645, 476, 278, 476, 274, 595, 476, 1691, 476, 275, 667, 476, 2641, 476, 1015, 269, 28096, 616, 19040, 883, 9344, 589, 267, 645, 543, 595, 269, 589, 11127, 3568, 513, 2698, 540, 476, 1911, 5798, 269, 1403, 606, 4212, 568, 13603, 693, 4351, 689, 519, 11127, 267, 519, 5506, 602, 519, 476, 272, 476, 273, 5798, 616, 3446, 589, 543, 645, 616, 543, 6606, 269, 4855, 519, 1297, 540, 5798, 476, 275, 476, 276, 540, 3446, 595, 538, 519, 11127, 269, 589, 476, 1839, 645, 476, 3374, 595, 476, 2412, 667, 476, 3393, 476, 10019, 0, 258, 5565, 512, 1872, 2692, 1846, 7485, 513, 16981, 2706, 339, 1678, 518, 269, 3962, 512, 1872, 11851, 338, 513, 3586, 3196, 540, 476, 272, 269, 2004, 265, 1015, 317, 277, 715, 267, 835, 693, 606, 5086, 476, 1428, 269, 271, 5232, 7178, 540, 5087, 267, 543, 519, 824, 693, 606, 5086, 476, 1428, 269, 271, 5232, 7532, 540, 5087, 267, 607, 13718, 10521, 512, 1872, 2692, 1846, 7485, 513, 16981, 2706, 339, 1678, 518, 269, 3962, 512, 1872, 11851, 338, 513, 3586, 3196, 540, 476, 272, 269, 2004, 265, 1015, 317, 277, 715, 267, 835, 693, 606, 5086, 476, 1428, 269, 271, 5232, 7178, 540, 5087, 267, 543, 519, 824, 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 ]
[ 14732, 7671, 257, 568, 513, 3942, 9542, 540, 14732, 781, 4890, 19701, 13366, 269, 898, 5205, 519, 2833, 540, 5216, 1004, 9789, 2605, 3471, 267, 519, 11709, 20707, 753, 267, 543, 6004, 269, 667, 639, 1088, 1765, 15367, 12404, 1927, 538, 4250, 540, 1373, 9575, 676, 519, 21647, 269, 10801, 519, 1404, 267, 9458, 7198, 519, 9620, 267, 13922, 267, 543, 12194, 540, 891, 2043, 607, 789, 6330, 3232, 1272, 538, 16081, 6244, 20453, 1247, 3843, 547, 2226, 4126, 9624, 21817, 780, 4089, 476, 275, 281, 4208, 5530, 14195, 30765, 888, 6597, 3539, 2868, 12151, 12416, 2636, 721, 547, 1921, 14156, 609, 3140, 2621, 267, 1818, 873, 811, 11541, 543, 12300, 269, 1452, 2984, 7618, 721, 540, 519, 2956, 540, 6568, 267, 1620, 267, 543, 5706, 532, 14882, 269, 3958, 267, 3695, 1148, 6273, 676, 3020, 2621, 2337, 15052, 938, 8223, 540, 1950, 3584, 543, 7512, 2565, 3206, 827, 519, 5079, 1004, 1500, 1282, 4101, 6381, 780, 6962, 912, 9961, 1686, 267, 3425, 723, 5185, 796, 19960, 514, 762, 2591, 267, 855, 2984, 899, 14732, 7671, 781, 948, 22113, 938, 2250, 543, 8300, 2318, 1689, 585, 519, 2104, 269, 1635, 1565, 827, 519, 14195, 543, 922, 1764, 593, 2043, 543, 2950, 267, 649, 1831, 3743, 2518, 4961, 8149, 547, 5807, 10343, 543, 28530, 23998, 269, 1924, 267, 5490, 4514, 883, 519, 1158, 540, 2868, 12151, 12416, 543, 3605, 875, 1148, 666, 2981, 938, 8226, 540, 1713, 3140, 8090, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 310, 559, 25030, 9400, 25538, 1676, 630, 9802, 476, 2420, 267, 476, 8687, 274, 1107, 5988, 476, 1724, 267, 476, 6642, 274, 264, 729, 606, 9565, 4436, 21917, 267, 18364, 267, 2575, 17695, 626, 267, 543, 1557, 626, 267, 5097, 1634, 585, 1010, 1766, 553, 630, 528, 834, 16443, 545, 5559, 553, 257, 607, 646, 2663, 3357, 547, 1289, 873, 1040, 3571, 15885, 267, 3226, 1346, 540, 1010, 2663, 1974, 267, 616, 8037, 585, 741, 733, 1905, 2863, 531, 9403, 267, 3638, 6985, 1738, 1143, 267, 11745, 625, 543, 32427, 566, 267, 543, 14969, 946, 540, 682, 527, 332, 582, 604, 338, 281, 4798, 2404, 609, 1808, 3197, 267, 2199, 525, 267, 610, 4729, 2609, 269, 25538, 1676, 781, 6985, 1738, 7574, 1893, 4776, 2682, 323, 2663, 7835, 538, 3864, 8106, 2575, 267, 1519, 3665, 6985, 1738, 1143, 543, 693, 517, 1275, 269, 1261, 9927, 7574, 2219, 998, 1010, 2856, 540, 717, 525, 600, 339, 330, 684, 560, 4546, 330, 9497, 20135, 11247, 19823, 13423, 558, 1242, 676, 1010, 26832, 2185, 19945, 5028, 4783, 14216, 23580, 964, 715, 756, 601, 684, 2102, 630, 6942, 277, 1040, 3571, 1523, 540, 682, 527, 332, 582, 604, 543, 7471, 7574, 4082, 729, 849, 513, 2178, 3310, 593, 1082, 14206, 2540, 4670, 8464, 269, 25538, 1676, 729, 543, 3788, 513, 11786, 4137, 267, 1312, 585, 1010, 7574, 543, 10565, 10124, 267, 543, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29804, 12151, 30765, 257, 607, 851, 540, 834, 11403, 24717, 1315, 6014, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 634, 2837, 3788, 9846, 1164, 2429, 519, 1032, 267, 2356, 1063, 476, 6924, 13790, 630, 736, 9180, 264, 543, 476, 4817, 13790, 630, 3374, 9180, 1040, 23089, 609, 713, 2186, 540, 2916, 616, 1336, 2282, 519, 20337, 267, 971, 607, 14208, 15616, 3687, 327, 4975, 538, 10476, 267, 799, 729, 5018, 538, 519, 1357, 1349, 596, 1224, 4505, 780, 3086, 602, 649, 1174, 1018, 513, 9341, 30734, 2916, 568, 1577, 781, 4685, 883, 519, 1158, 540, 9341, 30734, 12202, 256, 1879, 8888, 513, 4677, 538, 713, 1826, 540, 2916, 267, 972, 616, 1896, 2188, 547, 2015, 267, 1519, 3037, 2298, 267, 1216, 2359, 267, 543, 2030, 5542, 269, 2913, 781, 1491, 513, 6251, 1413, 693, 1142, 3815, 780, 3383, 559, 10866, 912, 1103, 1022, 4677, 267, 519, 3037, 4249, 513, 2629, 1909, 538, 8159, 1018, 2010, 540, 2371, 786, 8853, 269, 769, 9341, 30734, 16374, 267, 519, 3037, 666, 4268, 7494, 4470, 593, 519, 4087, 269, 2368, 2127, 949, 723, 8770, 11656, 3037, 1813, 547, 15027, 2534, 610, 7928, 14700, 267, 1247, 1866, 949, 723, 4057, 3037, 2298, 1813, 547, 11761, 610, 5230, 11811, 269, 1677, 2087, 3037, 2298, 267, 1082, 22254, 946, 11003, 1500, 689, 10051, 29578, 543, 13452, 3653, 269, 3281, 739, 8591, 5214, 2339, 547, 519, 3037, 267, 5355, 12775, 267, 513, 3130, 267, 543, 8770, 8244, 780, 12850, 5004, 912, 12850, 2359, 568, 1898, 538, 9341, 30734, 10651, 1317, 540, 519, 3665, 3604, 1063, 519, 6632, 543, 3819, 12405, 269, 4438, 519, 6632, 4005, 267, 4430, 1216, 1590, 581, 27071, 2476, 3533, 547, 2061, 3597, 4232, 543, 824, 3676, 269, 12567, 619, 1419, 1628, 6659, 15135, 610, 544, 2432, 547, 3895, 1732, 12775, 269, 4210, 2297, 267, 13719, 546, 9662, 4904, 609, 7725, 610, 18574, 267, 666, 948, 1463, 1216, 2476, 689, 7925, 2371, 269, 2201, 519, 824, 1688, 267, 1282, 519, 3819, 4005, 267, 7850, 1216, 1590, 581, 13859, 547, 1832, 2371, 2635, 269, 667, 8692, 12555, 1949, 267, 799, 5838, 1216, 2047, 547, 519, 3490, 540, 519, 2030, 267, 616, 606, 3608, 1259, 547, 18359, 1216, 543, 2327, 1256, 7509, 3892, 780, 24456, 19139, 912, 15675, 532, 519, 1318, 2371, 568, 2565, 547, 519, 1967, 540, 513, 9341, 30734, 4677, 269, 7111, 2371, 9862, 547, 2199, 2175, 616, 3622, 519, 1655, 3903, 269, 1452, 2371, 2154, 1447, 5826, 543, 616, 811, 11259, 547, 10860, 543, 3676, 982, 1875, 28921, 2249, 269, 2368, 1455, 5065, 2371, 1336, 538, 9341, 30734, 10651, 1331, 927, 6625, 807, 267, 20909, 267, 19337, 4054, 267, 543, 13869, 4054, 269, 3509, 540, 891, 2371, 3132, 7524, 5810, 543, 5613, 267, 4946, 5898, 543, 1719, 547, 519, 4677, 780, 2414, 2417, 9414, 519, 3741, 540, 9341, 30734, 12202, 267, 1577, 781, 4983, 513, 1483, 8996, 1383, 281, 519, 16304, 10651, 540, 12794, 7043, 7345, 538, 10476, 269, 28210, 2059, 519, 23795, 267, 891, 10651, 616, 3710, 593, 14680, 30917, 6772, 8504, 519, 4262, 269, 5221, 519, 22586, 14099, 2306, 2757, 12202, 2352, 267, 519, 22254, 7048, 593, 7299, 12202, 2553, 971, 607, 19558, 9582, 543, 8708, 12202, 269, 1358, 946, 7463, 1544, 1562, 2966, 547, 3180, 513, 3575, 540, 17310, 6775, 267, 829, 29411, 267, 543, 2357, 6193, 592, 924, 267, 3246, 5140, 12775, 543, 513, 3130, 269, 4826, 568, 9447, 998, 30620, 12555, 1949, 267, 4180, 5812, 7509, 2157, 269, 6736, 519, 10792, 3395, 2175, 267, 519, 16304, 10651, 540, 12794, 7043, 7345, 30107, 513, 2647, 3099, 540, 10477, 9341, 2371, 267, 2870, 513, 10875, 3308, 4159, 780, 1103, 3932, 267, 12202, 538, 9341, 30734, 16374, 6799, 2189, 2591, 855, 849, 3091, 3255, 585, 5876, 543, 5647, 269, 1635, 6236, 3037, 2298, 267, 1216, 2359, 267, 543, 2030, 5542, 267, 22254, 666, 1711, 4190, 543, 4264, 10651, 602, 13686, 519, 3309, 5044, 540, 2371, 9862, 547, 891, 5054, 269, 1284, 4126, 713, 1770, 814, 6273, 596, 547, 2263, 519, 13300, 540, 9341, 30734, 12202, 543, 5310, 1256, 2119, 707, 1688, 693, 2870, 707, 1378, 9341, 27032, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 301, 558, 19631, 20917, 781, 13488, 13505, 454, 9199, 767, 14568, 267, 4258, 1653, 267, 7043, 518, 454, 295, 334, 15616, 3687, 327, 4975, 13488, 6651, 454, 8310, 21213, 281, 5147, 476, 1704, 267, 476, 1708, 274, 454, 295, 334, 15616, 3687, 327, 4975, 630, 845, 28861, 1634, 607, 15223, 580, 517, 267, 1498, 782, 519, 17137, 1869, 1289, 621, 602, 264, 568, 519, 4102, 630, 663, 1034, 26093, 2749, 264, 538, 10476, 1547, 7763, 12643, 10105, 267, 30158, 267, 6517, 267, 543, 678, 6506, 327, 9155, 979, 16382, 789, 5225, 267, 543, 6266, 540, 8265, 6763, 543, 6990, 21383, 883, 519, 6808, 28961, 269, 898, 779, 513, 2749, 609, 513, 5479, 1919, 8345, 693, 2899, 563, 2005, 779, 849, 835, 540, 519, 1034, 2442, 18353, 538, 519, 2197, 543, 814, 5063, 7960, 883, 513, 28326, 13607, 585, 3059, 9930, 6758, 7064, 547, 922, 10464, 1942, 540, 2713, 563, 763, 2749, 814, 513, 2603, 547, 2709, 281, 8748, 15945, 267, 9735, 3781, 5158, 267, 8949, 1426, 267, 543, 7899, 540, 8978, 4609, 269, 3958, 267, 596, 3580, 1265, 930, 4277, 630, 663, 18259, 13463, 8283, 264, 15882, 899, 519, 2782, 3816, 333, 1218, 7467, 607, 1134, 607, 519, 4583, 19923, 15616, 570, 18365, 1564, 267, 5728, 25310, 1031, 676, 519, 8304, 5556, 1282, 519, 10476, 2782, 269, 898, 779, 1250, 2034, 5172, 2749, 538, 10476, 630, 12898, 14208, 328, 1323, 264, 543, 4502, 7836, 513, 1906, 2395, 642, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 717, 19181, 2894, 5058, 1315, 29725, 1738, 1315, 23427, 1315, 3933, 22792, 29972, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 6764, 1833, 1143, 910, 589, 21829, 13979, 547, 32185, 543, 15232, 692, 7072, 692, 2026, 938, 3460, 998, 519, 3045, 1023, 540, 1148, 1686, 5170, 267, 649, 1265, 6000, 7555, 593, 519, 10511, 823, 540, 513, 9097, 6521, 538, 7499, 4082, 602, 7018, 1282, 519, 8545, 3368, 540, 519, 13524, 2540, 269, 901, 1974, 4718, 519, 11944, 540, 513, 12316, 3350, 1634, 607, 6764, 1833, 1143, 267, 799, 8179, 547, 2736, 1863, 689, 519, 14461, 10148, 540, 2757, 4081, 7206, 543, 7001, 3079, 519, 7904, 7566, 267, 23644, 5898, 540, 2413, 1272, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 8129, 267, 1883, 3741, 267, 543, 11972, 9371, 540, 713, 14262, 3350, 267, 5373, 4296, 1063, 922, 5499, 2553, 543, 4207, 3466, 538, 3308, 2528, 780, 11771, 1231, 543, 6206, 14362, 692, 763, 5072, 540, 6764, 1833, 1143, 666, 581, 14360, 1394, 547, 5333, 538, 519, 4571, 5991, 12078, 2540, 267, 1141, 5159, 971, 607, 19863, 324, 3933, 564, 267, 24839, 5025, 1872, 755, 324, 11412, 7546, 267, 543, 28089, 26440, 553, 3459, 19234, 609, 1007, 2081, 540, 8204, 4641, 269, 674, 745, 1598, 730, 676, 519, 25516, 3652, 13684, 676, 519, 3943, 9142, 540, 20963, 8551, 267, 891, 21722, 26719, 8179, 547, 1711, 1568, 602, 10630, 741, 1378, 2123, 2833, 543, 11994, 2864, 982, 20170, 547, 3964, 14908, 269, 9182, 267, 789, 2919, 513, 10058, 2511, 6353, 676, 7524, 4778, 267, 10690, 11453, 1740, 267, 543, 513, 1445, 593, 13830, 519, 4657, 2360, 540, 1769, 543, 5790, 780, 4263, 519, 2295, 540, 6764, 1833, 1143, 6013, 519, 1523, 540, 1412, 641, 3749, 7848, 10086, 799, 4016, 547, 519, 2856, 602, 2681, 1058, 581, 4294, 538, 1507, 18116, 2864, 982, 1373, 20762, 16900, 1927, 269, 901, 1935, 2636, 585, 519, 21800, 8226, 540, 2789, 24698, 543, 5932, 606, 2949, 2631, 540, 24788, 13920, 543, 21755, 269, 5015, 267, 12705, 1235, 1419, 13556, 679, 5418, 514, 2011, 630, 719, 13073, 1070, 7175, 873, 547, 4497, 2047, 609, 741, 5396, 543, 4431, 31380, 547, 519, 13346, 2175, 540, 2470, 780, 14813, 1663, 1878, 543, 3474, 4150, 3149, 692, 4407, 6764, 1833, 1143, 7153, 607, 513, 3982, 569, 3943, 7613, 267, 621, 568, 1271, 547, 5431, 922, 6626, 2686, 2796, 543, 7506, 269, 1280, 3236, 267, 5545, 3574, 23026, 16493, 5129, 513, 1713, 1909, 538, 5935, 519, 5888, 531, 2994, 543, 24609, 539, 5380, 6964, 676, 1082, 12705, 626, 26719, 269, 6684, 267, 519, 4417, 540, 10344, 3177, 5159, 609, 1312, 6667, 543, 6735, 267, 20872, 873, 547, 2263, 4244, 12331, 540, 6041, 602, 1223, 711, 581, 556, 6088, 676, 7344, 1797, 780, 11101, 267, 519, 4473, 540, 22713, 543, 20012, 1282, 713, 1974, 1266, 25311, 7096, 2242, 538, 2486, 781, 2078, 609, 2230, 543, 942, 269, 634, 23960, 10605, 540, 2413, 1272, 18796, 1007, 2081, 540, 7487, 543, 7680, 519, 1158, 267, 799, 1336, 4082, 538, 519, 3134, 31906, 531, 2298, 540, 12705, 626, 10367, 269, 1306, 971, 267, 891, 1568, 4196, 607, 3407, 3140, 6054, 602, 7866, 1454, 827, 519, 1514, 267, 2804, 267, 543, 6639, 14759, 2921, 1747, 693, 519, 942, 780, 26765, 2329, 543, 12634, 25684, 692, 8601, 3355, 4187, 689, 13915, 543, 9458, 7567, 267, 6764, 1833, 1143, 814, 2094, 1831, 835, 540, 519, 1034, 11537, 543, 9565, 5322, 538, 1148, 1686, 269, 4706, 8561, 593, 1463, 8343, 267, 10444, 1995, 267, 543, 1367, 7664, 9788, 519, 5748, 585, 7766, 7835, 971, 607, 5403, 268, 3412, 16054, 1143, 267, 20309, 1143, 267, 543, 17593, 3203, 269, 5047, 267, 519, 3350, 781, 11812, 540, 4948, 10207, 543, 8723, 1004, 5280, 24339, 520, 1125, 1569, 547, 2528, 543, 21490, 519, 1259, 585, 3152, 13784, 1369, 519, 1148, 1158, 780, 9213, 267, 649, 3136, 547, 20920, 609, 1082, 540, 519, 1482, 2055, 7282, 8226, 267, 6041, 267, 543, 3961, 602, 840, 31039, 12705, 626, 26719, 936, 513, 2540, 3516, 269, 11569, 267, 8441, 538, 3059, 2029, 543, 5691, 4641, 5867, 2709, 3078, 7399, 585, 556, 19960, 1456, 2757, 7499, 2853, 543, 2502, 609, 3309, 9458, 269, 1635, 6313, 519, 4720, 540, 6764, 1833, 1143, 543, 922, 5571, 10083, 267, 649, 666, 1732, 1174, 875, 7499, 5647, 14340, 689, 8090, 540, 28230, 543, 7004, 267, 3246, 4195, 4030, 883, 519, 1480, 2783, 2066, 942, 543, 2230, 780, 6962, 692, 1607, 3184, 814, 25139, 519, 4241, 1650, 540, 6764, 1833, 1143, 267, 13031, 922, 6090, 529, 267, 4295, 3741, 267, 543, 2484, 23568, 1764, 593, 519, 1646, 540, 2413, 1148, 269, 3414, 6297, 2079, 540, 1883, 1568, 543, 6278, 609, 4143, 7811, 10850, 267, 1053, 616, 9415, 547, 5660, 519, 6988, 540, 713, 12316, 3350, 543, 2015, 922, 4797, 16982, 538, 938, 5051, 10562, 2518, 5251, 269, 11086, 267, 676, 5807, 2565, 3206, 1983, 543, 5009, 3308, 7924, 267, 713, 1576, 11394, 547, 7668, 6267, 547, 6330, 519, 2479, 6879, 14823, 14099, 540, 4207, 3308, 2528, 609, 6015, 543, 7279, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 302, 1537, 1686, 5967, 1325, 4477, 323, 267, 5437, 476, 866, 267, 476, 3192, 276, 269, 19964, 540, 1977, 3203, 267, 28834, 26323, 563, 11328, 1613, 676, 6754, 595, 17026, 1231, 454, 2791, 941, 4535, 538, 27201, 538, 476, 4572, 279, 888, 4517, 4682, 547, 1857, 3506, 888, 12441, 596, 1332, 909, 538, 27201, 286, 9894, 596, 2141, 2661, 972, 610, 1705, 596, 1847, 1472, 538, 519, 2749, 888, 296, 729, 4535, 543, 6659, 538, 27201, 269, 594, 6557, 1360, 3983, 593, 7389, 269, 1879, 594, 729, 1472, 24369, 1296, 2025, 1250, 3237, 6410, 547, 519, 17588, 343, 269, 594, 5030, 538, 1614, 4025, 538, 27201, 269, 594, 729, 4535, 267, 594, 1589, 267, 538, 645, 21672, 327, 32231, 267, 1287, 649, 6410, 547, 645, 992, 985, 6807, 267, 543, 689, 645, 992, 985, 6807, 547, 16170, 5112, 21178, 8500, 1407, 656, 267, 543, 689, 16170, 5112, 21178, 8500, 1407, 656, 649, 6410, 909, 547, 519, 5101, 17588, 343, 269, 3973, 950, 594, 729, 11157, 8696, 594, 2451, 1753, 543, 8678, 519, 13108, 563, 2710, 596, 723, 14552, 543, 19946, 888, 296, 723, 835, 11078, 563, 3674, 1352, 538, 519, 6575, 888, 5591, 267, 1352, 779, 513, 18673 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4113, 1299, 519, 1455, 3017, 568, 476, 276, 4113, 269, 11953, 15654, 2474, 540, 606, 6673, 1299, 630, 13839, 264, 519, 2338, 536, 269, 1627, 476, 1626, 269, 1265, 519, 1871, 540, 533, 273, 8206, 264, 1892, 1627, 476, 1321, 269, 634, 8999, 1993, 333, 2474, 540, 18314, 12980, 3126, 616, 538, 519, 5223, 540, 630, 278, 562, 266, 272, 2567, 630, 275, 562, 266, 476, 2767, 1040, 22772, 1492, 2185, 2338, 269, 5890, 759, 338, 519, 18596, 8918, 476, 271, 269, 524, 269, 1627, 476, 275, 9950, 311, 2207, 290, 30990, 16927, 1627, 476, 272, 269, 769, 513, 1305, 540, 2185, 2338, 269, 8058, 602, 519, 1455, 5223, 540, 519, 13382, 568, 7117, 349, 1627, 476, 279, 269, 634, 1101, 543, 519, 27630, 2165, 540, 513, 12166, 11144, 14626, 728, 609, 519, 14140, 663, 519, 27630, 2165, 540, 1492, 12980, 11144, 269, 546, 616, 538, 13382, 269, 1627, 476, 274, 269, 1627, 476, 273, 269, 1323, 6673, 1299, 606, 24605, 723, 519, 1482, 14140, 3410, 18502, 630, 335, 1341, 7117, 264, 7117, 14370, 335, 910, 272, 1040, 1627, 476, 276, 269, 4855, 519, 18749, 512, 476, 1069, 540, 519, 12166, 11144, 269, 634, 1101, 543, 2063, 2474, 540, 606, 589, 269, 579, 513, 678, 552, 1775, 562, 670, 623, 1547, 952, 519, 2040, 540, 519, 476, 272, 560, 533, 512, 2144, 916, 568, 3160, 547, 4642, 269, 536, 269, 1403, 519, 476, 272, 744, 628, 2165, 540, 606, 24605, 568, 476, 2641, 1299, 476, 273, 966, 265, 2165, 540, 1492, 1482, 24605, 568, 476, 1015, 269, 1627, 476, 277, 269, 1627, 476, 278, 269, 2845, 1470, 1535, 1341, 2845, 1015, 1535, 476, 272, 270, 273, 1341, 2845, 269, 9717, 602, 4949, 815, 676, 815, 524, 345, 815, 5918, 1299, 513, 1547, 519, 1482, 2063, 2165, 1299, 519, 1482, 1297, 540, 2474, 1547, 769, 606, 6673, 540, 799, 262, 513, 262, 568, 519, 476, 272, 560, 2165, 269, 555, 679, 22772, 1492, 1871, 540, 562, 269, 1403, 519, 14140, 11133, 2041, 678, 568, 519, 1482, 607, 519, 8772, 269, 1627, 476, 1240, 269, 4855, 519, 2040, 540, 519, 535, 15077, 512, 562, 2474, 540, 519, 5311, 281, 561, 1341, 476, 273, 263, 272, 266, 1765, 316, 1341, 274, 314, 272, 266, 1765, 316, 1341, 275, 263, 272, 266, 1765, 316, 1341, 3655, 645, 20735, 320, 270, 26643, 25627, 1299, 4273, 1833, 1547, 589, 1007, 3126, 568, 4646, 676, 14921, 1142, 540, 519, 14140, 273, 333, 2474, 676, 555, 552, 1985, 2165, 269, 630, 328, 264, 741, 2040, 568, 476, 1839, 630, 4512, 264, 519, 2338, 476, 273, 269, 4855, 519, 5223, 540, 26132, 32671, 2165, 269, 616, 513, 543, 536, 269, 1627, 476, 866, 269, 272, 3738, 628, 1611, 815, 476, 276, 2433, 476, 280, 1547, 1627, 561, 561, 1547, 14991, 277, 607, 513, 7787, 1297, 1210, 1523, 540, 12808, 12166, 3126, 269, 678, 1403, 519, 533, 628, 269, 623, 519, 1587, 1299, 681, 519, 2040, 540, 519, 25262, 1023, 540, 513, 13382, 269, 634, 9703, 7285, 540, 513, 20372, 616, 538, 6673, 7456, 7565, 320, 273, 1341, 536, 476, 273, 3738, 1341, 630, 275, 333, 476, 273, 1341, 476, 273, 264, 629, 476, 277, 333, 1627, 476, 1724, 269, 1627, 476, 1691, 269, 1627, 476, 1704, 269, 4855, 519, 2040, 540, 519, 562, 2474, 540, 519, 5311, 476, 272, 476, 272, 1341, 476, 272, 1341, 272, 476, 273, 476, 275, 476, 273, 476, 272, 266, 273, 1341, 273, 476, 273, 476, 275, 476, 274, 476, 272, 1341, 476, 3953, 1341, 274, 476, 275, 634, 14140, 3410, 540, 606, 12980, 11144, 568, 476, 272, 543, 519, 2040, 540, 519, 14140, 333, 710, 2474, 3160, 547, 476, 3607, 280, 269, 7117, 628, 1299, 678, 628, 2474, 540, 606, 6673, 616, 538, 13382, 269, 524, 1063, 476, 273, 1299, 476, 1240, 971, 602, 1547, 303, 269, 4855, 519, 2040, 540, 519, 3126, 269, 1403, 590, 581, 519, 2040, 269, 524, 1547, 476, 278, 1341, 476, 6507, 1341, 476, 6507, 278, 1341, 547, 562, 2474, 269, 533, 268, 336, 1403, 835, 7537, 1412, 320, 262, 1299, 1079, 10648, 781, 533, 1299, 7117, 581, 17332, 1063, 1022, 1079, 2016, 2338, 1287, 695, 7640, 602, 533, 274, 266, 7117, 274, 815, 476, 273, 3284, 336, 1547, 476, 1240, 616, 15654, 1768, 20444, 540, 513, 13382, 1547, 1627, 476, 1428, 269, 513, 20481, 512, 11058, 1535, 1547, 1287, 1265, 519, 476, 13975, 628, 2165, 269, 536, 1547, 8058, 602, 519, 2040, 540, 1492, 1007, 3126, 568, 630, 275, 333, 273, 1547, 4855, 519, 1297, 540, 5011, 540, 519, 20372, 269, 1397, 602, 519, 2040, 540, 519, 1985, 7117, 2474, 568, 1547, 277, 2473, 272, 270, 275, 1341, 476, 272, 266, 274, 266, 276, 266, 1341, 263, 273, 344, 2000, 264, 476, 275, 266, 278, 266, 1015, 266, 1341, 263, 274, 344, 266, 331, 264, 815, 344, 476, 736, 476, 10170, 690, 316, 271, 1535, 1703, 616, 562, 7537, 781, 1063, 476, 272, 1299, 476, 4029, 971, 602, 476, 278, 628, 1611, 281, 630, 333, 1547, 6961, 602, 519, 1587, 540, 519, 966, 555, 2165, 689, 519, 4098, 538, 835, 3126, 1299, 519, 678, 628, 2165, 689, 519, 1439, 538, 519, 824, 568, 4830, 540, 678, 269, 1627, 476, 1015, 269, 586, 1547, 1990, 1547, 4855, 1614, 1297, 521, 513, 269, 609, 1455, 3017, 476, 277, 269, 1703, 616, 15587, 630, 273, 333, 1341, 476, 272, 264, 2474, 269, 1627, 476, 280, 269, 16534, 519, 1739, 4834, 585, 1535, 1299, 586, 269, 519, 14140, 22764, 616, 538, 13382, 1299, 519, 2063, 1614, 616, 538, 6673, 780, 314, 274, 316, 16317, 9217, 264, 476, 272, 1341, 476, 276, 1341, 476, 1724, 266, 476, 3066, 1341, 476, 8618, 1341, 630, 4512, 264, 476, 277, 266, 1724, 1341, 476, 2420, 1341, 476, 3451, 1341, 1627, 476, 2641, 269, 277, 1341, 476, 275, 269, 276, 1547, 4855, 519, 2338, 269, 275, 269, 586, 815, 2098, 562, 284, 271, 562, 284, 271, 522, 334, 1071, 521, 562, 273, 333, 1775, 9745, 3436, 1990, 815, 476, 272, 331, 5430, 273, 333, 630, 329, 264, 5609, 273, 333, 630, 329, 264, 1287, 2433, 28171, 602, 562, 284, 271, 2999, 264, 2473, 630, 328, 264, 27976, 345, 815, 27976, 1341, 1990, 1547, 1724, 630, 4512, 264, 678, 10983, 594, 678, 630, 337, 266, 561, 7565, 337, 266, 273, 264, 630, 337, 1341, 476, 274, 264, 562, 1775, 9736, 594, 476, 278, 317, 6507, 678, 284, 272, 476, 275, 337, 1547, 4855, 519, 1079, 2338, 269, 266, 17147, 1341, 2443, 2443, 1341, 476, 272, 269, 1627, 476, 2537, 269, 304, 476, 736, 269, 274, 269, 4855, 519, 32671, 2165, 543, 519, 2040, 547, 562, 2474, 540, 519, 5311, 1547, 1280, 610, 476, 271, 2999, 476, 275, 2999, 476, 278, 339, 270, 273, 269, 678, 338, 678, 338, 1315, 630, 321, 264, 1775, 1775, 1775, 1775, 269, 634, 23191, 1611, 540, 1079, 2338, 568, 476, 275, 269, 952, 2433, 3436, 1535, 815, 2098, 5430, 273, 333, 630, 329, 1040, 1015, 269, 275, 269, 274, 476, 272, 269, 266, 1547, 279, 2443, 476, 275, 562, 5727, 257, 262, 678, 284, 331, 621, 328, 586, 562, 2999, 328, 14872, 13797, 26872, 521, 284, 331, 678, 338, 476, 6349, 678, 521, 476, 274, 1141, 476, 276, 568, 4642, 952, 678, 9745, 521, 261, 279, 678, 568, 835, 952, 678, 815, 521, 269, 1775, 284, 328, 795, 284, 328, 737, 284, 328, 1627, 476, 1839, 269, 272, 1627, 476, 2190, 269, 4855, 519, 1871, 540, 1492, 2040, 630, 320, 264, 962, 642, 476, 272, 476, 272, 269, 278, 269, 1015, 476, 278, 269, 634, 7537, 540, 1079, 2338, 20489, 741, 10648, 676, 476, 1428, 1299, 32518, 676, 476, 2767, 1547, 1627, 476, 2420, 269, 5681, 519, 1739, 3126, 547, 562, 2474, 543, 547, 20581, 281, 630, 328, 264, 530, 2443, 276, 1765, 269, 570, 646, 2011, 628, 8714, 1611, 589, 1299, 519, 12166, 1611, 717, 14183, 519, 6935, 476, 273, 589, 1341, 717, 273, 815, 476, 2767, 269, 277, 269, 278, 476, 275, 780, 14096, 1295, 547, 4194, 782, 519, 2042, 4849, 585, 519, 2063, 835, 269, 634, 3126, 540, 2067, 2338, 568, 5258, 883, 2516, 630, 272, 264, 1862, 630, 276, 269, 602, 519, 2040, 540, 519, 2338, 538, 519, 32671, 1895, 568, 630, 333, 1547, 277, 589, 22762, 3740, 1299, 23191, 11144, 723, 519, 1482, 533, 628, 269, 589, 2780, 12193, 1896, 2042, 538, 19588, 269, 1403, 972, 581, 544, 6673, 781, 2253, 333, 3824, 609, 9322, 4171, 1455, 3017, 568, 476, 272, 269, 275, 1040, 1627, 476, 279, 269, 1627, 476, 276, 269, 272, 3738, 274, 1341, 562, 476, 274, 1547, 1627, 476, 274, 269, 1341, 590, 269, 630, 273, 1547, 1341, 590, 269, 1299, 865, 593, 6230, 1341, 562, 1341, 476, 272, 1040, 322, 264, 2845, 513, 1341, 536, 630, 322, 1547, 1287, 1265, 524, 1299, 782, 519, 5072, 269, 634, 942, 621, 3576, 519, 2780, 547, 4194, 1142, 20422, 1966, 729, 519, 1482, 1297, 540, 2053, 4130, 982, 519, 942, 621, 3576, 547, 4194, 519, 18631, 1966, 269, 272, 264, 579, 630, 272, 269, 524, 6606, 269, 273, 269, 1215, 1082, 2042, 941, 6700, 547, 519, 2780, 952, 621, 6170, 476, 8287, 269, 1341, 476, 272, 476, 274, 476, 276, 9745, 1341, 590, 278, 8206, 1547, 7918, 343, 910, 2641, 815, 476, 271, 616, 538, 23191, 11144, 15301, 4512, 264, 27976, 345, 815, 1535, 1341, 586, 1341, 1990, 12327, 2207, 290, 30990, 268, 2862, 1627, 476, 272, 269, 8058, 634, 2040, 540, 519, 10945, 540, 1614, 3982, 1483, 2338, 269, 8058, 602, 519, 2040, 540, 519, 3352, 32671, 2474, 568, 630, 332, 270, 273, 264, 630, 19282, 1547, 279, 269, 1627, 476, 273, 269, 274, 1040, 815, 2443, 476, 273, 333, 476, 272, 8573, 818, 630, 272, 8573, 264, 630, 331, 1341, 678, 264, 1547, 274, 1547, 543, 476, 4029, 269, 277, 269, 1627, 476, 278, 269, 278, 18502, 264, 2845, 536, 1341, 524, 630, 320, 1547, 1627, 269, 276, 1295, 547, 865, 561, 557, 782, 519, 2042, 4849, 585, 519, 1101, 1079, 286, 1403, 519, 2040, 540, 544, 2474, 540, 606, 6673, 568, 3160, 547, 519, 2040, 540, 2901, 519, 1985, 562, 2474, 610, 519, 1985, 533, 2474, 540, 1492, 1482, 6673, 1440, 31952, 602, 630, 332, 266, 333, 25011, 263, 331, 8276, 9984, 263, 331, 9706, 13580, 815, 630, 332, 1341, 533, 25011, 263, 331, 8276, 9984, 263, 331, 14672, 13580, 630, 333, 265, 335, 264, 1403, 519, 5072, 540, 476, 272, 7621, 274, 524, 343, 273, 1547, 1403, 741, 2040, 568, 513, 590, 269, 544, 269, 799, 616, 538, 13382, 568, 590, 476, 273, 1547, 1397, 602, 513, 476, 273, 552, 630, 272, 270, 274, 1547, 7117, 628, 1299, 678, 331, 327, 2474, 513, 907, 3655, 645, 20735, 320, 270, 26643, 25627, 1299, 4273, 1833, 1496, 274, 316, 1547, 1287, 6961, 602, 590, 269, 8058, 602, 513, 630, 321, 1547, 274, 269, 276, 1295, 547, 4194, 782, 519, 2042, 4849, 585, 519, 535, 15077, 512, 269, 1627, 476, 275, 12500, 264, 2845, 524, 815, 476, 271, 269, 536, 269, 280, 1040, 1403, 10965, 4564, 519, 2040, 547, 562, 2474, 540, 513, 13382, 4171, 1101, 2165, 1299, 1455, 5223, 616, 513, 1299, 678, 6606, 780, 323, 269, 28171, 602, 2433, 1341, 513, 476, 272, 476, 272, 476, 272, 1341, 320, 513, 1341, 1341, 513, 561, 562, 476, 273, 562, 2000, 513, 274, 606, 268, 273, 476, 272, 562, 561, 513, 513, 1341, 320, 561, 562, 513, 476, 272, 476, 272, 476, 272, 476, 272, 554, 1341, 561, 513, 273, 513, 274, 476, 272, 1341, 320, 562, 630, 321, 264, 8058, 602, 538, 1022, 12980, 11144, 620, 269, 630, 328, 264, 630, 4512, 264, 630, 13839, 264, 1627, 1724, 269, 1535, 269, 590, 269, 1265, 782, 2009, 2418, 540, 536, 269, 266, 543, 562, 562, 266, 272, 476, 273, 1341, 630, 333, 25829, 7565, 333, 268, 273, 264, 1341, 283, 333, 345, 297, 264, 331, 9041, 28462, 22144, 273, 476, 273, 27883, 333, 1341, 561, 264, 333, 562, 3799, 2000, 264, 476, 274, 268, 273, 795, 1412, 1287, 1397, 602, 589, 815, 645, 269, 546, 269, 1397, 602, 519, 3017, 581, 512, 1048, 519, 1101, 1299, 519, 2063, 1611, 568, 3160, 547, 1035, 5416, 1547, 536, 616, 538, 24605, 1547, 606, 1547, 1341, 3284, 1341, 513, 1341, 590, 476, 273, 815, 606, 266, 331, 1341, 606, 266, 273, 1341, 476, 274, 815, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4308, 609, 519, 1871, 267, 15635, 1643, 1399, 24042, 602, 1169, 25948, 851, 540, 513, 796, 636, 1131, 723, 630, 13318, 1737, 540, 1175, 513, 10581, 1916, 12552, 585, 948, 538, 15738, 803, 538, 513, 521, 2033, 4287, 2676, 5415, 1344, 827, 519, 570, 12460, 0, 289, 8681, 1715, 267, 1133, 1348, 25767, 538, 17828, 16448, 269, 589, 266, 21436, 6796, 256, 12834, 281, 631, 4115, 928, 15952, 339, 568, 1655, 1634, 607, 513, 645, 879, 27346, 4496, 14704, 267, 543, 8197, 621, 729, 538, 713, 2796, 602, 1352, 2813, 4190, 543, 2527, 3146, 335, 1238, 24862, 3615, 547, 22499, 2413, 9703, 5624, 269, 13518, 1447, 1134, 1634, 616, 519, 2584, 558, 2632, 1137, 602, 13822, 519, 2565, 9148, 547, 1200, 4496, 1568, 689, 519, 4571, 268, 4572, 271, 338, 543, 2038, 476, 4350, 271, 338, 602, 4847, 15952, 339, 547, 1445, 606, 10763, 22401, 593, 4207, 2486, 543, 6214, 269, 14301, 593, 519, 5318, 5044, 540, 3308, 1570, 1500, 2139, 676, 519, 1284, 31483, 6243, 781, 24567, 11609, 2046, 267, 15952, 339, 781, 2584, 558, 2632, 1137, 16941, 2390, 519, 4066, 540, 2413, 3308, 2528, 267, 711, 1152, 547, 4161, 3182, 3645, 14908, 267, 855, 849, 547, 3954, 8784, 519, 5906, 2427, 540, 2413, 2029, 602, 1185, 1831, 865, 7805, 538, 519, 3689, 2622, 2782, 267, 543, 547, 3239, 1007, 5107, 585, 2021, 538, 954, 8705, 2486, 269, 26467, 823, 6427, 9222, 5391, 516, 6319, 454, 305, 328, 817, 2863, 334, 281, 5125, 781, 954, 8705, 1296, 267, 519, 942, 540, 519, 1284, 31483, 6243, 267, 4547, 519, 1158, 674, 761, 345, 18999, 781, 5450, 24227, 267, 18332, 1772, 615, 6229, 781, 14447, 896, 16447, 267, 519, 645, 879, 27346, 543, 513, 24567, 11609, 2046, 269, 1879, 631, 4115, 928, 15952, 339, 7012, 1405, 8888, 519, 4190, 267, 2527, 3146, 335, 1238, 24862, 4496, 1753, 29939, 902, 734, 10175, 22311, 543, 751, 777, 1824, 1869, 538, 2504, 2221, 734, 5976, 799, 1352, 543, 1200, 10284, 686, 1824, 19117, 2413, 9703, 2230, 267, 1352, 729, 5969, 543, 2250, 532, 9241, 10731, 17476, 543, 9102, 1570, 883, 891, 18854, 1399, 267, 20833, 543, 7376, 1227, 5260, 11803, 2584, 558, 2632, 1137, 269, 4256, 2407, 2039, 568, 11567, 267, 9916, 543, 11609, 585, 519, 1101, 942, 538, 7843, 17763, 7843, 17763, 256, 513, 11495, 14769, 543, 2565, 9148, 547, 15952, 339, 781, 4496, 1740, 269, 2701, 1031, 519, 2029, 540, 519, 5736, 781, 3308, 2528, 547, 3954, 8784, 602, 1482, 2029, 267, 547, 556, 21553, 2602, 519, 5107, 540, 2021, 543, 547, 4161, 3182, 3645, 14908, 269, 1306, 2584, 558, 2632, 720, 568, 2699, 4593, 2642, 607, 513, 29341, 3135, 540, 7073, 626, 7499, 2259, 267, 15952, 339, 786, 581, 2808, 835, 922, 24788, 2456, 563, 10666, 519, 8191, 281, 10906, 32572, 568, 19608, 7905, 540, 2413, 543, 4207, 1148, 538, 519, 10439, 5525, 4972, 693, 519, 3557, 2160, 540, 1715, 3840, 693, 30159, 563, 30812, 714, 7748, 5391, 549, 281, 1715, 454, 5327, 322, 10961, 7748, 5391, 549, 808, 990, 529, 267, 476, 1220, 276, 269, 9473, 714, 7748, 5391, 549, 281, 6153, 269, 645, 13308, 269, 590, 4721, 689, 519, 5177, 269, 4813, 518, 7732, 1433, 269, 31698, 930, 4191, 540, 5957, 267, 543, 949, 723, 930, 24795, 593, 519, 3330, 269, 26467, 823, 5391, 549, 546, 7578, 5391, 516, 6319, 717, 14641, 4037, 278, 14065, 6078, 454, 5327, 322, 10961, 7748, 5391, 549, 808, 990, 529, 267, 476, 1220, 276, 269, 28980, 269, 9473, 714, 7748, 5391, 549, 281, 6153, 269, 28980, 269, 7956, 538, 4436, 543, 2296, 269, 8752, 27012, 267, 513, 1906, 1159, 644, 2471, 267, 543, 5957, 593, 6227, 269, 589, 1212, 848, 543, 513, 1906, 25859, 593, 15493, 3382, 269, 1133, 5658, 539, 3817, 269, 570, 6160, 320, 781, 1655, 1031, 21869, 648, 269, 28210, 593, 3162, 631, 22857, 10003, 2094, 476, 1960, 272, 269, 3143, 3620, 817, 548, 2132, 3609, 952, 711, 4625, 13854, 269, 26467, 823, 5391, 549, 546, 7578, 5391, 516, 6319, 1395, 1822, 271, 2537, 280, 8618, 280, 454, 5327, 322, 10961, 7748, 5391, 549, 808, 990, 529, 267, 476, 1220, 276, 269, 9941, 16225, 269, 9473, 714, 7748, 5391, 549, 281, 13242, 281, 15020, 6153, 269, 3689, 8313, 547, 1459, 267, 3561, 267, 543, 5659, 519, 2407, 2039, 540, 15952, 339, 781, 960, 538, 2584, 558, 2632, 720, 1701, 7956, 538, 4436, 543, 2296, 269, 31763, 334, 267, 476, 12293, 6032, 269, 16503, 5928, 538, 3109, 1299, 3043, 543, 2681, 269, 769, 12109, 1186, 630, 7809, 16225, 1040, 3245, 4357, 4015, 269, 11162, 267, 796, 5658, 539, 5299, 269, 26467, 823, 5391, 549, 546, 7578, 5391, 516, 6319, 476, 10204, 275, 2641, 18089, 454, 5327, 322, 10961, 7748, 5391, 549, 808, 990, 529, 476, 1220, 277, 268, 6734, 268, 4905, 267, 476, 1220, 277, 269, 10434, 16225, 269, 9473, 714, 7748, 5391, 549, 281, 1434, 269, 645, 13308, 269, 476, 4375, 274, 277, 4029, 3393, 276, 272, 269, 26467, 823, 5391, 549, 546, 7578, 5391, 516, 6319, 476, 31816, 3393, 275, 454, 5327, 322, 10961, 7748, 5391, 549, 1547, 28980, 269, 9473, 714, 7748, 5391, 549, 281, 15020, 6153, 269, 634, 1433, 814, 1044, 1224, 267, 855, 568, 538, 5140, 2783, 269, 9664, 616, 16856, 543, 711, 2261, 1042, 676, 4967, 610, 10223, 269, 634, 12636, 3788, 3768, 600, 3042, 269, 26467, 823, 5391, 549, 546, 7578, 5391, 516, 6319, 717, 3036, 25484, 4391, 272, 276, 4037, 454, 5327, 322, 10961, 7748, 5391, 549, 808, 990, 529, 267, 476, 1220, 276, 269, 28980, 269, 9473, 714, 7748, 5391, 549, 281, 1715, 269, 26467, 823, 5391, 549, 546, 7578, 5391, 516, 6319, 623, 13647, 280, 3607, 27183, 4649, 272, 454, 5327, 322, 10961, 7748, 5391, 549, 808, 990, 529, 269, 623, 4338, 2207, 289, 19272, 269, 9473, 714, 7748, 5391, 549, 281, 1715, 269, 476, 4375, 274, 277, 4029, 3393, 276, 272, 1715, 16448, 269, 26467, 823, 5391, 549, 546, 7578, 5391, 516, 6319, 21832, 277, 269, 11260, 4792, 275, 272, 454, 5327, 322, 10961, 7748, 5391, 549, 808, 990, 529, 269, 623, 4338, 2207, 289, 19272, 269, 9473, 714, 7748, 5391, 549, 281, 20963, 269, 476, 4375, 274, 277, 4029, 3393, 276, 272, 6145, 1715, 16448, 269, 26467, 823, 5391, 549, 546, 7578, 5391, 516, 6319, 700, 301, 277, 269, 11260, 4792, 275, 272, 454, 5327, 322, 10961, 7748, 5391, 549, 28980, 269, 9473, 714, 7748, 5391, 549, 281, 20963, 269, 645, 13308, 269, 26467, 823, 5391, 549, 546, 7578, 5391, 516, 6319, 590, 268, 5392, 273, 268, 4817, 454, 5327, 322, 10961, 7748, 5391, 549, 808, 990, 529, 267, 12670, 267, 476, 1220, 276, 269, 2182, 16225, 269, 9473, 714, 7748, 5391, 549, 281, 5386, 269, 3689, 269, 4515, 2224, 569, 11609, 269, 590, 3916, 476, 275, 1729, 267, 10538, 543, 3043, 3182, 3645, 12545, 269, 630, 29155, 4802, 2567, 808, 990, 529, 267, 630, 1220, 276, 1040, 20963, 269, 7956, 538, 2296, 543, 4436, 269, 26467, 823, 5391, 549, 546, 7578, 5391, 516, 6319, 476, 16348, 23714, 0, 4462, 8971, 1540, 1257, 12744, 281, 1548, 2306, 674, 1342, 2401, 779, 1650, 8471, 543, 711, 1175, 513, 1650, 519, 726, 697, 540, 6739, 7642, 693, 519, 2490, 540, 519, 2540, 286, 476, 275, 269, 1548, 568, 519, 2596, 6249, 540, 519, 1397, 286, 476, 276, 269, 1772, 519, 1106, 540, 713, 1397, 1759, 2390, 519, 14339, 7970, 543, 8621, 1067, 7322, 2203, 607, 5941, 538, 1362, 286, 4208, 610, 1946, 711, 286, 1411, 949, 2911, 827, 1022, 824, 2609, 540, 519, 1397, 596, 1265, 4277, 2899, 596, 723, 9619, 1346, 2127, 1657, 269, 10691, 292, 281, 589, 31639, 568, 2838, 952, 596, 10839, 689, 1022, 3544, 2707, 1570, 630, 10472, 2523, 2882, 519, 4950, 32656, 5457, 1913, 3144, 689, 519, 3544, 616, 711, 707, 1378, 269, 1411, 1590, 946, 891, 838, 2130, 569, 630, 604, 693, 782, 264, 547, 1205, 519, 3063, 5491, 585, 519, 1576, 269, 634, 5318, 5354, 540, 519, 1957, 1590, 581, 707, 1378, 3206, 538, 707, 1378, 1913, 269, 9603, 11261, 281, 11016, 267, 5412, 476, 2641, 267, 476, 1220, 278, 1107, 476, 1015, 281, 876, 533, 6230, 19601, 8698, 9509, 11657, 454, 268, 11354, 1412, 5400, 454, 268, 476, 1220, 279, 11549, 4548, 267, 28042, 16222, 267, 9400, 14339, 7970, 267, 674, 1342, 2401, 593, 519, 10162, 1993, 267, 2489, 4282, 267, 7574, 1297, 862, 1878 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 979, 593, 267, 596, 1058, 1451, 827, 519, 6905, 1483, 2338, 799, 616, 267, 594, 19616, 267, 513, 1454, 1732, 1259, 547, 979, 827, 3257, 1919, 269, 901, 1297, 1062, 814, 1079, 3606, 2338, 602, 519, 1483, 2338, 1810, 1405, 281, 910, 8882, 6541, 543, 1341, 8882, 6541, 269, 1656, 621, 7140, 856, 602, 1169, 834, 2224, 995, 5708, 257, 602, 596, 1451, 538, 519, 2606, 5049, 7140, 856, 547, 2823, 547, 8723, 1919, 538, 713, 811, 10427, 1935, 267, 5103, 2348, 519, 3169, 1482, 10035, 269, 552, 3052, 269, 769, 519, 6905, 1483, 2338, 267, 1496, 271, 267, 266, 8882, 6541, 264, 568, 513, 9985, 8723, 8884, 267, 799, 5161, 540, 519, 1875, 17463, 1483, 2338, 269, 630, 4517, 519, 8884, 1496, 271, 267, 266, 8882, 6541, 316, 1131, 2874, 540, 782, 1875, 17463, 6905, 1483, 2338, 2020, 1724, 269, 4924, 476, 1724, 267, 476, 1001, 271, 692, 2162, 1649, 333, 903, 6390, 692, 2005, 781, 899, 8380, 1932, 1454, 2011, 538, 513, 17891, 256, 0, 258, 16338, 1063, 26941, 540, 834, 1001, 273, 7537, 290, 476, 1015, 288, 10819, 270, 19370, 476, 275, 5016, 1012, 9046, 476, 275, 692, 4131, 4399, 4120, 13235, 815, 476, 2190, 23373, 15132, 259, 543, 4399, 4120, 9474, 291, 815, 476, 736, 23373, 15132, 10608, 1548, 568, 519, 10545, 2009, 4110, 2268, 585, 5086, 14055, 2496, 7445, 3667, 8578, 18950, 288, 264, 4153, 476, 271, 315, 29911, 20728, 8578, 18950, 289, 264, 4153, 476, 273, 315, 29911, 20728, 8578, 18950, 290, 264, 4153, 476, 275, 315, 29911, 20728, 8578, 18950, 291, 264, 4153, 476, 277, 315, 29911, 20728, 8578, 18950, 292, 264, 4153, 476, 1321, 6911, 1012, 8827, 692, 7445, 4120, 9474, 291, 259, 543, 4399, 4120, 13235, 259, 2671, 18422, 1269, 5723, 10608, 769, 1931, 547, 7413, 519, 1871, 540, 4399, 4120, 14055, 8961, 1269, 291, 259, 1058, 581, 4092, 1063, 1269, 288, 259, 543, 1269, 290, 16859, 7445, 4120, 13235, 815, 1422, 4120, 9474, 291, 1341, 1422, 4120, 14055, 8961, 865, 4399, 4120, 14055, 815, 476, 275, 10608, 634, 2626, 568, 4399, 29911, 20728, 8578, 18950, 290, 264, 10592, 1103, 20777, 27024, 454, 19868, 514, 547, 589, 334, 4916, 0, 272, 454, 2791, 10272, 721, 476, 272, 2053, 256, 17949, 532, 938, 4930, 286, 1133, 6674, 9509, 7457, 2336, 9223, 692, 258, 19130, 538, 519, 1025, 3471, 281, 630, 328, 264, 6567, 275, 9943, 8064, 284, 8064, 9943, 31233, 630, 4512, 264, 476, 276, 1556, 9943, 6629, 4343, 284, 6629, 4343, 9943, 31233, 630, 13839, 264, 476, 1321, 9943, 263, 4097, 266, 6629, 24423, 6661, 1321, 9943, 12223, 1341, 263, 9943, 264, 6629, 24423, 630, 643, 264, 6567, 3393, 9943, 6872, 9943, 13090, 815, 263, 6629, 3393, 9943, 6872, 264, 9943, 6629, 8660, 692, 15411, 538, 2561, 454, 11405, 692, 1012, 630, 328, 264, 6567, 275, 9943, 8064, 284, 8064, 9943, 31233, 6567, 275, 9943, 8064, 284, 8064, 9943, 6629, 275, 1496, 7712, 267, 862, 32477, 3959, 28488, 4512, 264, 476, 276, 1556, 9943, 6629, 4343, 284, 6629, 4343, 9943, 31233, 476, 276, 1556, 9943, 6629, 4343, 284, 6629, 4343, 9943, 276, 1556, 1496, 7712, 267, 862, 32477, 3959, 28488, 13839, 264, 476, 1321, 9943, 263, 4097, 266, 6629, 24423, 6661, 1321, 9943, 12223, 1341, 263, 9943, 264, 6629, 24423, 476, 1321, 9943, 263, 4097, 266, 6629, 24423, 6661, 1321, 9943, 4097, 266, 1321, 9943, 6629, 24423, 1496, 7712, 267, 20518, 5737, 3959, 28488, 643, 264, 6567, 3393, 9943, 6872, 9943, 13090, 815, 263, 6629, 3393, 9943, 6872, 264, 9943, 6629, 8660, 6567, 3393, 9943, 263, 6872, 9943, 6629, 8660, 6661, 263, 6629, 3393, 9943, 6872, 264, 9943, 6629, 8660, 1496, 7712, 267, 4889, 894, 3959, 6540, 22296, 2248, 4856, 516, 2388, 454, 275, 454, 18794, 15760, 297, 308, 24202, 4804, 5358, 454, 16665, 27678, 454, 19187, 2906, 540, 21929, 10606, 454, 21316, 30388, 454, 19400, 538, 2561, 454, 18794, 15760, 297, 308, 24202, 4804, 5358, 0, 258, 6301, 595, 20975, 692, 13707, 912, 15478, 271, 269, 876, 692, 8005, 3591, 256, 23985, 4682, 4636, 780, 258, 12430, 610, 6348, 6441, 710, 541, 13658, 13658, 11780, 11314, 692, 29410, 13517, 454, 1320, 8812, 29350, 6486, 1331, 2259, 547, 3313, 952, 513, 1599, 6719, 676, 513, 3113, 267, 3830, 610, 3349, 540, 2418, 568, 5276, 610, 1875, 31059, 543, 952, 519, 2557, 540, 1689, 568, 3586, 610, 711, 3586, 780, 295, 2788, 540, 519, 1053, 1796, 13105, 3562, 6879, 30629, 6849, 835, 4287, 269, 634, 824, 3368, 540, 519, 1053, 1796, 1058, 3562, 6879, 30629, 609, 1142, 824, 3068, 3562, 19904, 609, 519, 1101, 1895, 540, 1053, 865, 4891, 616, 6849, 1142, 824, 538, 1079, 1279, 9343, 269, 2368, 3610, 4782, 547, 723, 606, 6418, 5858, 540, 1053, 6849, 606, 9018, 5858, 540, 1053, 269, 23657, 1259, 786, 960, 607, 1279, 607, 1142, 2875, 814, 513, 7649, 780, 10376, 2875, 814, 835, 13658, 13658, 11780, 3556, 547, 1397, 547, 519, 6849, 7649, 269, 634, 2626, 568, 593, 519, 1394, 540, 519, 3556, 865, 519, 2875, 666, 2995, 519, 7649, 952, 519, 2626, 568, 2953, 610, 666, 16455, 519, 7649, 952, 789, 1118, 513, 12161, 269, 5637, 4891, 1491, 7140, 7688, 4506, 519, 824, 267, 1287, 519, 1079, 1053, 4123, 6486, 780, 5629, 1142, 1305, 540, 4891, 5526, 547, 581, 8737, 7688, 4506, 543, 9467, 6486, 267, 1312, 3515, 540, 1053, 1491, 835, 1900, 547, 519, 1318, 547, 2743, 513, 1007, 7649, 269, 4841, 593, 519, 1318, 1439, 540, 1142, 1899, 1058, 16833, 1472, 547, 6443, 519, 824, 4737, 780, 10743, 979, 998, 519, 1184, 609, 741, 1007, 7649, 547, 7688, 1142, 824, 267, 1287, 4123, 6486, 269, 901, 1184, 28197, 2394, 1053, 3100, 547, 723, 27058, 519, 2055, 543, 9096, 3533, 269, 1403, 972, 616, 606, 9642, 1297, 540, 1053, 267, 519, 4116, 666, 1900, 538, 607, 513, 7649, 780, 1607, 568, 513, 1390, 1804, 31228, 2534, 547, 946, 950, 1101, 1565, 519, 1007, 5578, 269, 634, 6486, 666, 849, 581, 1031, 676, 606, 1367, 2875, 610, 513, 1507, 1895, 607, 513, 2689, 780, 763, 2626, 1883, 568, 3710, 883, 519, 2534, 865, 1053, 2638, 1142, 824, 585, 6111, 780, 290, 16430, 281, 16294, 267, 6218, 267, 543, 5635, 3252, 563, 279, 12171, 6993, 269, 273, 14424, 3601, 540, 1079, 3252, 1142, 6719, 538, 513, 1114, 1259, 630, 531, 5040, 1227, 267, 3113, 1227, 267, 6746, 1227, 538, 7515, 267, 610, 676, 11913, 11673, 1916, 279, 12171, 6993, 269, 274, 19873, 519, 3830, 1109, 344, 815, 544, 343, 1341, 536, 1109, 553, 10747, 513, 5276, 1599, 267, 4171, 3113, 568, 513, 2786, 1899, 282, 2285, 1806, 540, 3252, 602, 616, 711, 5276, 563, 290, 16430, 281, 2422, 3252, 547, 2203, 3347, 1063, 9424, 563, 279, 12171, 11065, 269, 276, 14674, 12007, 569, 519, 6198, 2078, 1063, 1079, 9424, 676, 7421, 513, 3113, 630, 324, 3052, 1421, 1141, 519, 1599, 568, 2810, 610, 13302, 267, 5276, 610, 22357, 1040, 28220, 513, 3113, 602, 15225, 519, 12007, 2934, 540, 513, 1599, 602, 814, 1044, 4330, 8231, 958, 563, 290, 16430, 281, 20472, 543, 5635, 5276, 267, 13392, 267, 543, 12825, 3631, 543, 4194, 2042, 563, 9391, 293, 269, 4041, 6993, 269, 272, 31692, 880, 1063, 3871, 602, 666, 581, 24018, 609, 5276, 3252, 543, 609, 12825, 3252, 563, 9391, 293, 269, 4041, 6993, 269, 272, 320, 28171, 602, 5276, 3252, 1332, 676, 3160, 3604, 936, 3160, 11996, 267, 543, 602, 12825, 3252, 1332, 676, 3160, 2188, 936, 3160, 11996, 563, 9391, 293, 269, 4041, 6993, 269, 272, 321, 25506, 3871, 538, 799, 835, 7274, 2242, 693, 513, 3586, 2557, 829, 1770, 8884, 3448, 547, 1776, 563, 9391, 293, 269, 4041, 6993, 269, 272, 322, 25506, 3871, 538, 799, 513, 7274, 9428, 610, 1232, 904, 676, 513, 3586, 2600, 2557, 829, 1770, 8884, 3448, 547, 1776, 780, 30108, 5590, 1575, 912, 19530, 1142, 2985, 540, 7688, 6709, 714, 2389, 8565, 6486, 1394, 3562, 25746, 609, 519, 7222, 2985, 540, 2626, 6486, 593, 3556, 18450, 610, 5230, 1957, 269, 1280, 1383, 267, 1820, 519, 2985, 609, 6486, 22921, 476, 272, 1107, 476, 277, 1394, 3562, 25746, 609, 519, 2626, 2985, 849, 22921, 476, 272, 1107, 476, 277, 780, 29493, 2059, 12297, 1540, 3515, 547, 1711, 1367, 6486, 780, 1103, 7672, 538, 519, 10189, 912, 1320, 8812, 29350, 630, 3607, 264, 6486, 609, 4267, 547, 1820, 593, 519, 1394, 692, 2791, 1522, 849, 899, 912, 12218, 1518, 12793, 3245, 23959, 9046, 10426, 11314, 630, 279, 21448, 994, 12218, 1518, 12793, 3245, 28977, 543, 12307, 13658, 13658, 11780, 11314, 630, 3607, 6486, 994, 12218, 1518, 12793, 3245, 23959, 4039, 599, 11314, 630, 277, 21448, 994, 31262, 610, 3502, 1299, 12430, 610, 6348, 6441, 710, 541, 4039, 599, 11314, 630, 277, 21448, 2020, 1607, 6718, 568, 585, 835, 4116, 1152, 563, 1607, 4199, 568, 711, 547, 581, 3838, 609, 9164, 610, 1031, 676, 606, 3003, 3446, 1377, 267, 1153, 267, 610, 8664, 1510, 11449, 519, 1697, 1297, 540, 27121, 269, 1403, 596, 616, 513, 16455, 267, 9030, 267, 610, 8664, 5461, 538, 513, 3135, 12689, 267, 5225, 3346, 803, 585, 513, 10839, 693, 3181, 9812, 531, 5040, 716, 8481, 287, 326, 21166, 2593, 269, 901, 4199, 949, 711, 581, 23345, 547, 519, 4950, 538, 1022, 1106, 267, 1519, 4928, 9706, 5966, 7270, 610, 3060, 11479, 780, 13707, 9664, 454, 3607, 6486, 454, 1103, 7672, 454, 22826, 30991, 454, 301, 12458, 454, 27751, 713, 12754, 454, 1892, 8605, 1627, 1299, 589, 454, 15478, 274, 269, 876, 454, 15478, 274, 269, 876, 0, 258, 476, 736, 269, 4406, 573, 9977, 12330, 692, 8867, 564, 24927, 10819, 692, 1103, 713, 5850, 649, 786, 4194, 476, 736, 269, 4406, 573, 9977, 12330, 689, 682, 564, 13892, 780, 1012, 7305, 540, 12474, 692, 27270, 281, 476, 736, 269, 4406, 573, 9977, 12330, 692, 1012, 9046, 3948, 692, 1103, 713, 1966, 3948, 649, 616, 4280, 547, 2638, 519, 14496, 540, 513, 2016, 5569, 2387, 338, 319, 799, 5161, 540, 519, 1739, 3197, 25464, 3738, 1496, 9948, 2715, 7684, 18269, 634, 4341, 4422, 899, 519, 713, 269, 7046, 31455, 1590, 581, 6806, 676, 519, 1482, 1826, 540, 14656, 31455, 269, 7046, 23049, 1590, 581, 6806, 538, 519, 1482, 1931, 269, 1656, 1169, 14656, 31455, 814, 513, 7222, 6679, 31455, 540, 519, 1482, 1826, 780, 7078, 689, 682, 564, 13892, 780, 18606, 7078, 476, 272, 912, 19152, 281, 521, 815, 834, 3890, 4840, 20479, 281, 3020, 692, 7078, 476, 273, 912, 19152, 281, 521, 815, 834, 3890, 26514, 24001, 4840, 20479, 281, 3020, 692, 7078, 476, 274, 912, 19152, 281, 521, 815, 834, 263, 316, 4840, 20479, 281, 7301, 692, 7078, 476, 275, 912, 19152, 281, 521, 815, 834, 8443, 8079, 4840, 20479, 281, 3020, 454, 18606, 454, 18606, 3519, 14259, 6493, 1384, 272, 10922, 521, 32324, 10922, 476, 1015, 317, 275, 454, 338, 5161, 540, 24324, 1152, 1412, 3890, 26514, 24001, 23823, 32526, 1012, 13979, 692, 2414, 4194, 713, 1966, 649, 666, 946, 519, 10518, 1239, 2497, 269, 3962, 942, 649, 7237, 606, 6679, 31455, 649, 786, 7903, 519, 31455, 883, 519, 10518, 269, 1656, 1142, 942, 649, 7237, 513, 14656, 31455, 649, 786, 1402, 606, 6221, 689, 519, 10518, 543, 2638, 952, 1402, 6244, 31455, 568, 606, 6679, 31455, 543, 540, 519, 1482, 1826, 607, 519, 14656, 31455, 780, 2171, 666, 3362, 2995, 602, 519, 3403, 5569, 2387, 338, 319, 568, 23380, 952, 519, 3259, 540, 519, 5569, 568, 4642, 610, 9642, 780, 20118, 267, 952, 649, 7237, 513, 14656, 31455, 543, 519, 10518, 568, 8900, 1287, 649, 723, 606, 23380, 3403, 5569, 780, 4131, 721, 4194, 3403, 521, 815, 834, 8443, 8079, 5016, 18606, 23637, 815, 29129, 8161, 815, 476, 476, 271, 476, 272, 476, 273, 476, 274, 454, 338, 672, 815, 834, 263, 1496, 9948, 3738, 4840, 317, 692, 933, 723, 606, 6679, 31455, 267, 865, 649, 7903, 621, 883, 519, 10518, 780, 23637, 815, 1496, 454, 257, 2891, 454, 6540, 8161, 815, 476, 476, 271, 476, 272, 476, 273, 476, 274, 454, 338, 672, 815, 834, 263, 1496, 9948, 3738, 4840, 317, 692, 933, 723, 606, 6679, 31455, 267, 865, 649, 7903, 621, 883, 519, 10518, 780, 23637, 815, 1496, 454, 257, 263, 20350, 257, 314, 4840, 6540, 8161, 815, 476, 476, 271, 476, 272, 476, 273, 476, 274, 454, 338, 672, 815, 834, 263, 1496, 9948, 3738, 4840, 317, 692, 933, 723, 513, 14656, 31455, 267, 865, 649, 1402, 606, 6221, 689, 519, 10518, 563, 16647, 6244, 6221, 815 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9215, 918, 301, 8582, 454, 268, 589, 4570, 1780, 1636, 609, 693, 2547, 3670, 3275, 685, 14496, 454, 268, 7388, 1540, 642, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19770, 910, 8466, 610, 4207, 2984, 1305, 538, 3624, 267, 3695, 922, 3638, 2686, 6561, 267, 5389, 267, 543, 8916, 267, 971, 607, 519, 4279, 9931, 267, 21795, 267, 543, 22645, 1701, 607, 851, 540, 834, 16300, 16337, 1315, 23089, 1315, 5607, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 29460, 513, 6154, 601, 766, 27752, 692, 5970, 596, 2479, 26927, 3139, 827, 1373, 707, 1378, 20148, 286, 2107, 6148, 596, 1616, 547, 7118, 3063, 2724, 676, 3257, 1945, 596, 2648, 269, 4270, 267, 7058, 1018, 286, 9861, 513, 28479, 766, 5856, 1223, 581, 1175, 519, 3364, 585, 596, 256, 2913, 781, 4685, 883, 519, 1158, 540, 28479, 3496, 543, 1451, 875, 596, 666, 2490, 707, 1913, 883, 6666, 780, 1432, 1281, 621, 1611, 547, 581, 513, 28479, 22083, 2496, 288, 28479, 22083, 568, 2576, 945, 1568, 585, 2933, 3079, 540, 2324, 585, 513, 2754, 269, 1358, 2709, 741, 1983, 543, 2533, 547, 7218, 945, 2628, 873, 585, 741, 960, 269, 769, 938, 2013, 267, 649, 786, 1445, 593, 4742, 513, 3811, 28479, 766, 5856, 269, 901, 1797, 3478, 6976, 547, 2328, 4930, 267, 2984, 267, 5816, 9708, 267, 610, 824, 2010, 540, 1543, 585, 1114, 1004, 543, 3906, 780, 763, 13858, 2427, 540, 28479, 3496, 692, 18455, 513, 28479, 766, 5856, 814, 1082, 829, 802, 269, 1280, 835, 267, 596, 723, 811, 5191, 982, 2757, 6009, 1317, 596, 616, 707, 1378, 20148, 269, 2334, 1797, 596, 3442, 950, 267, 1141, 267, 543, 1018, 596, 2328, 827, 269, 898, 849, 2636, 596, 547, 3666, 707, 2090, 543, 12348, 1247, 1869, 15980, 2724, 269, 9578, 267, 28798, 707, 1603, 1983, 1631, 949, 1291, 547, 8273, 3255, 1524, 519, 4155, 2439, 307, 5446, 519, 2883, 28458, 692, 2691, 596, 1376, 1818, 2724, 998, 28479, 3496, 267, 972, 781, 1945, 1271, 596, 1590, 1832, 538, 2247, 1107, 9878, 9204, 269, 12525, 525, 616, 899, 12375, 602, 519, 2229, 10997, 593, 707, 4747, 269, 1809, 1100, 19048, 256, 9796, 532, 9204, 3884, 1405, 865, 3983, 2899, 596, 1174, 875, 789, 960, 269, 2991, 782, 267, 1589, 540, 621, 607, 7700, 547, 5329, 3013, 4881, 12347, 780, 2080, 616, 1614, 1883, 2798, 547, 3314, 1384, 272, 269, 5590, 11735, 513, 6712, 540, 707, 15271, 585, 9204, 269, 589, 2922, 4341, 568, 547, 4688, 693, 2547, 476, 1839, 260, 910, 476, 1789, 260, 540, 1169, 8569, 596, 4309, 269, 901, 5849, 602, 596, 4465, 1405, 3068, 6397, 12014, 2097, 3454, 4005, 563, 273, 269, 5901, 3950, 540, 707, 4747, 543, 9276, 2429, 519, 1032, 1210, 513, 2241, 22369, 610, 1256, 4050, 543, 1957, 269, 22067, 3454, 942, 267, 891, 5638, 786, 1118, 12719, 707, 9204, 1454, 4443, 563, 274, 269, 6333, 17874, 609, 513, 11967, 2937, 610, 3318, 547, 2327, 3388, 568, 2944, 7157, 543, 7561, 269, 5457, 267, 1565, 827, 9204, 2038, 2337, 1628, 2178, 2883, 6208, 585, 519, 2104, 780, 291, 9254, 551, 532, 707, 1259, 547, 9806, 692, 3086, 1934, 2501, 519, 1187, 851, 1107, 17429, 2388, 256, 667, 9254, 2388, 1577, 596, 10208, 1978, 3790, 689, 707, 2698, 4747, 1354, 23115, 856, 875, 1454, 596, 28297, 538, 9204, 269, 4595, 519, 2229, 6499, 547, 5000, 4213, 630, 10175, 21088, 28479, 19188, 264, 547, 1332, 543, 8853, 267, 789, 1450, 596, 547, 2539, 707, 3454, 3915, 676, 19101, 14718, 9276, 269, 1452, 1522, 1331, 1919, 899, 5604, 7727, 267, 3301, 267, 543, 1256, 513, 6712, 540, 707, 4950, 3915, 269, 3807, 3314, 547, 1832, 2256, 328, 14186, 543, 5638, 540, 891, 16306, 607, 6169, 780, 21093, 3323, 593, 707, 3460, 692, 5649, 344, 547, 7832, 593, 707, 28479, 766, 1603, 7045, 286, 7427, 891, 3268, 547, 10131, 707, 27503, 4876, 1384, 272, 269, 10576, 707, 13395, 281, 32341, 593, 3584, 596, 2972, 1603, 827, 543, 14133, 538, 269, 2368, 2442, 12137, 1127, 1331, 2029, 267, 11080, 267, 9913, 267, 5026, 267, 6752, 267, 1072, 267, 2069, 267, 543, 2123, 8804, 563, 273, 269, 12706, 707, 14769, 281, 8073, 513, 4015, 540, 707, 1655, 2854, 4773, 15386, 707, 2189, 5639, 543, 2511, 269, 9523, 873, 2228, 3842, 21075, 610, 7270, 267, 799, 2306, 621, 2653, 547, 2671, 6402, 609, 1761, 7218, 563, 274, 269, 623, 3558, 547, 7218, 281, 28651, 856, 547, 17476, 267, 14786, 267, 7270, 267, 543, 3549, 5356, 707, 1603, 2533, 269, 31209, 707, 9342, 267, 1995, 267, 543, 6612, 585, 1603, 269, 5213, 1405, 7340, 547, 1246, 909, 1310, 11488, 8486, 2583, 2336, 275, 269, 5548, 1853, 2298, 960, 281, 11408, 2743, 21852, 543, 1683, 1283, 27677, 577, 1603, 269, 8414, 7218, 1419, 1831, 10956, 5561, 543, 3277, 1866, 547, 596, 780, 4415, 8990, 267, 5876, 267, 543, 4396, 2883, 2359, 267, 596, 1932, 666, 8011, 607, 513, 28479, 766, 5856, 256, 1924, 10544, 707, 15291, 543, 25793, 1662, 1346, 1913, 19431, 15421, 269, 2659, 6909, 3460, 19179, 1080, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16908, 607, 606, 16724, 568, 3078, 269, 1411, 1205, 547, 1852, 707, 6197, 267, 707, 4876, 267, 543, 707, 18083, 269, 1879, 596, 2461, 986, 6362, 538, 519, 2724, 267, 1272, 7948, 1406, 1205, 1022, 1732, 269, 1717, 267, 607, 513, 27710, 9707, 267, 596, 3580, 991, 547, 3314, 547, 1305, 11735, 930, 540, 707, 15271, 585, 519, 5313, 2229, 563, 303, 11691, 9204, 593, 707, 4747, 568, 513, 5266, 3551, 1184, 952, 596, 960, 585, 606, 16108, 269, 1717, 267, 621, 666, 581, 4101, 547, 1205, 707, 2212, 1472, 621, 952, 596, 2461, 513, 1870, 8227, 610, 1582, 15041, 23903, 269, 1403, 713, 568, 707, 1101, 942, 25937, 513, 3454, 2132, 609, 519, 594, 11965, 267, 1287, 1434, 9939, 269, 1411, 1522, 1265, 602, 735, 4979, 707, 2132, 568, 14845, 543, 24858, 952, 596, 1810, 1406, 917, 1018, 596, 2461, 3257, 563, 4913, 267, 607, 513, 1870, 8227, 610, 1582, 15041, 23903, 1367, 267, 596, 1205, 547, 2328, 1055, 513, 6712, 540, 707, 9276, 593, 707, 2132, 269, 634, 594, 11965, 543, 519, 2475, 2229, 1312, 8275, 519, 2956, 540, 18398, 1507, 1870, 2208, 538, 3013, 269, 1306, 851, 540, 519, 22449, 540, 3013, 779, 4346, 267, 519, 2229, 543, 3454, 8128, 267, 3390, 3454, 9397, 547, 948, 536, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26466, 601, 766, 5675, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 6154, 601, 766, 1299, 8682, 7232, 332, 7877, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 281, 634, 20727, 4382, 623, 850, 730, 8381, 701, 14982, 281, 589, 11206, 8111, 12516, 692, 5970, 596, 2479, 4862, 513, 10978, 834, 3369, 871, 267, 627, 871, 267, 627, 871, 257, 3280, 4947, 689, 2620, 3330, 513, 4104, 286, 1403, 865, 267, 972, 781, 513, 1434, 4960, 621, 729, 1500, 676, 835, 540, 2470, 781, 1034, 4241, 7068, 910, 519, 623, 850, 730, 8381, 701, 14982, 256, 1452, 1804, 267, 11495, 5017, 1404, 606, 1898, 1909, 538, 4509, 2635, 7733, 543, 2709, 721, 7899, 540, 3255, 547, 1451, 827, 7320, 14624, 543, 5726, 269, 2913, 781, 4685, 883, 519, 6909, 1158, 540, 623, 850, 730, 8381, 701, 1188, 619, 2439, 25603, 519, 623, 850, 730, 8381, 701, 14982, 281, 3776, 700, 17999, 7111, 8381, 701, 14982, 692, 303, 850, 730, 8381, 701, 1188, 619, 616, 3833, 11141, 282, 4079, 2268, 1472, 476, 1626, 6279, 1279, 267, 799, 2306, 873, 3592, 607, 2462, 607, 513, 7715, 256, 4256, 4703, 616, 4988, 538, 4190, 267, 4158, 23469, 17207, 267, 543, 9038, 723, 6505, 2699, 1212, 7370, 15198, 689, 741, 12014, 547, 519, 1394, 540, 741, 9843, 269, 12339, 2297, 2671, 713, 12050, 32442, 1152, 593, 741, 31462, 1846, 269, 5637, 5256, 543, 4775, 623, 850, 730, 8381, 701, 1188, 619, 7328, 546, 9579, 1782, 2699, 26145, 2059, 741, 1750, 4060, 780, 4322, 5017, 2661, 5631, 538, 7733, 609, 7381, 4054, 267, 971, 607, 18073, 267, 25308, 267, 12566, 267, 543, 646, 6447, 1442, 269, 1411, 1522, 1265, 873, 538, 2901, 28301, 610, 598, 26448, 7733, 782, 936, 3345, 3013, 269, 1879, 6972, 998, 519, 18137, 267, 1832, 707, 4064, 22019, 539, 585, 14328, 9475, 538, 3529, 959, 16218, 1107, 1346, 616, 2693, 4191, 540, 513, 623, 850, 730, 8381, 701, 14982, 2182, 693, 960, 2439, 21841, 12516, 525, 540, 519, 11206, 23270, 692, 303, 850, 730, 8381, 701, 1188, 619, 4196, 607, 2565, 3334, 540, 741, 4104, 9249, 269, 1635, 17656, 9475, 538, 3406, 540, 17705, 5521, 13000, 899, 15790, 10938, 17605, 543, 27134, 16793, 15720, 9944, 3529, 13626, 267, 789, 948, 1852, 10860, 602, 1223, 2800, 4054, 269, 3958, 267, 741, 14941, 2719, 5932, 6846, 602, 6786, 8513, 6302, 543, 24643, 29982, 269, 901, 2189, 2792, 1505, 849, 2640, 824, 2831, 1317, 519, 17860, 539, 13050, 5624, 2451, 3297, 1310, 25061, 1683, 5321, 585, 1585, 1814, 1562, 267, 1519, 31450, 267, 16835, 267, 543, 1256, 4130, 3574, 701, 1188, 619, 780, 5353, 2644, 16559, 2282, 3574, 701, 14982, 8023, 4609, 1419, 10351, 3729, 543, 1332, 883, 1007, 2371, 267, 7700, 547, 2067, 20344, 3157, 269, 5015, 267, 2025, 267, 9178, 532, 4054, 678, 1342, 1194, 609, 623, 850, 730, 8381, 701, 14982, 9475, 1831, 3501, 5054, 585, 13271, 543, 7786, 267, 4543, 2736, 1524, 5214, 2339, 543, 22120, 5567, 1394, 883, 519, 3037, 780, 288, 4303, 538, 519, 5020, 540, 513, 623, 850, 730, 8381, 701, 14982, 692, 303, 850, 730, 8381, 701, 1188, 619, 3251, 11112, 2429, 519, 1032, 269, 4438, 3636, 3275, 267, 2937, 8424, 2149, 11182, 543, 6318, 32138, 1927, 269, 2991, 2679, 513, 18241, 9566, 538, 513, 3529, 13570, 267, 8951, 2482, 1614, 547, 2947, 5798, 267, 543, 1312, 3237, 1491, 7140, 17861, 908, 873, 2394, 24011, 13530, 10836, 476, 1321, 2395, 2663, 269, 8479, 3283, 4734, 519, 9566, 1310, 3670, 4374, 267, 4742, 4830, 5104, 32596, 4712, 547, 2263, 519, 5318, 4104, 1158, 780, 1103, 4167, 10122, 8952, 623, 850, 730, 8381, 701, 1188, 619, 13026, 1032, 15778, 269, 2755, 789, 5097, 3049, 593, 7786, 2713, 896, 3529, 13626, 267, 789, 849, 2972, 4829, 267, 10808, 267, 543, 5452, 269, 21452, 2614, 267, 7429, 1082, 5017, 945, 4558, 1426, 3688, 14350, 267, 623, 850, 730, 8381, 701, 1188, 619, 1711, 1412, 335, 656, 787, 262, 25985, 4904, 609, 1035, 27163, 543, 824, 16782, 267, 8720, 873, 609, 3574, 13365, 610, 6777, 585, 2922, 15209, 780, 310, 5793, 12694, 543, 27834, 11150, 692, 310, 26262, 3142, 2591, 585, 938, 11537, 3574, 701, 1188, 619, 1813, 547, 8519, 1426, 8244, 269, 1677, 7639, 267, 623, 850, 730, 8381, 701, 1188, 619, 1590, 12398, 10731, 1426, 2959, 1354, 4411, 4365, 5036, 538, 269, 1306, 15489, 21128, 267, 789, 6108, 811, 942, 13936, 1426, 543, 8357, 1944, 6753, 585, 2104, 946, 269, 6736, 4389, 15287, 538, 10821, 2127, 1282, 5162, 3275, 267, 6131, 6177, 342, 520, 7129, 949, 1869, 5544, 873, 9683, 647, 564, 29650, 952, 2139, 780, 8256, 3569, 27557, 543, 1215, 9358, 2052, 6435, 692, 4407, 623, 850, 730, 8381, 701, 1188, 619, 3068, 7864, 6937, 982, 930, 13155, 2249, 267, 7226, 2530, 3788, 513, 1713, 6161, 269, 12124, 1646, 543, 19883, 3136, 547, 23650, 7733, 267, 1818, 621, 2352, 585, 891, 5017 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 546, 4700, 2304, 3872, 1062, 568, 2356, 5059, 593, 519, 2451, 2909, 1441, 1053, 269, 623, 9417, 7081, 267, 1931, 267, 5311, 267, 9355, 540, 4555, 1107, 782, 891, 7355, 616, 11342, 538, 519, 2875, 12773, 563, 14738, 2909, 1441, 6267, 616, 3833, 1114, 689, 891, 4441, 269, 1703, 616, 811, 16022, 982, 7493, 17024, 269, 4256, 3664, 616, 1759, 593, 6418, 4743, 543, 4664, 267, 711, 593, 519, 9266, 8753, 269, 634, 1318, 2634, 5713, 1344, 676, 3168, 693, 519, 2407, 4605, 267, 1287, 7421, 519, 4773, 540, 621, 267, 875, 789, 1711, 543, 1628, 519, 2898, 267, 1175, 3001, 689, 2898, 547, 519, 851, 269, 9406, 2634, 13856, 1004, 949, 4194, 6310, 4305, 543, 2097, 547, 1318, 3375, 1510, 18615, 3268, 543, 1210, 606, 6620, 269, 1452, 6267, 1419, 7048, 593, 519, 8937, 4743, 543, 1810, 1406, 4898, 950, 519, 3070, 568, 1318, 269, 1358, 723, 606, 2702, 547, 14650, 519, 1344, 585, 1732, 1620, 267, 1210, 519, 4898, 2685, 2919, 9345, 585, 1732, 8357, 1944, 269, 630, 291, 7342, 267, 562, 269, 546, 4700, 5753, 543, 4079, 616, 3048, 2209, 267, 15888, 540, 519, 1007, 269, 1358, 616, 26719, 267, 2206, 619, 267, 12372, 267, 9858, 269, 6270, 1004, 1413, 693, 519, 2621, 543, 1865, 873, 538, 519, 1769, 540, 741, 2123, 1995, 267, 2057, 25401, 1759, 3889, 540, 3206, 269, 4256, 2093, 267, 5784, 267, 21520, 267, 3934, 725, 543, 8369, 666, 581, 16148, 269, 630, 29409, 5142, 267, 476, 1220, 277, 1040, 1284, 666, 21656, 873, 607, 519, 3929, 6544, 1392, 267, 711, 519, 9266, 21932, 269, 634, 1318, 2634, 6267, 991, 519, 598, 17917, 538, 519, 1344, 267, 789, 1058, 581, 3222, 609, 267, 2322, 519, 4542, 538, 519, 2796, 585, 1732, 1620, 267, 1683, 621, 609, 3308, 1489, 267, 971, 607, 3349, 8642, 267, 4605, 610, 6881, 269, 1358, 786, 1732, 4121, 676, 3257, 519, 4052, 1568, 267, 3621, 6901, 610, 3114, 22475, 267, 982, 6061, 621, 538, 519, 6698, 267, 12423, 1018, 949, 2049, 538, 519, 1267, 540, 711, 1483, 6354, 2827, 563, 5472, 538, 782, 267, 1142, 1367, 3096, 2451, 543, 1318, 8280, 7371, 12742, 585, 1565, 269, 634, 2451, 2909, 1441, 15226, 949, 4308, 609, 519, 1344, 676, 519, 1318, 2634, 2994, 585, 1565, 543, 13030, 17930, 269, 1809, 547, 3035, 519, 1713, 2164, 543, 581, 811, 3811, 267, 1142, 835, 1058, 1336, 799, 2427, 540, 519, 2634, 568, 8789, 585, 1864, 543, 946, 3617, 2409, 543, 5078, 6127, 540, 1565, 269, 1411, 666, 513, 1257, 1152, 610, 1175, 1683, 513, 6881, 269, 9320, 596, 1058, 9192, 519, 21849, 543, 21370, 1570, 269, 3807, 2263, 707, 7375, 543, 23822, 1770, 2090, 267, 946, 519, 21274, 540, 519, 2898, 2634, 547, 8011, 563, 268, 22216, 344, 267, 918, 269, 630, 333, 269, 546, 4700, 4197, 519, 19088, 540, 19382, 11020, 543, 9406, 11020, 18067, 766, 8158, 689, 5291, 2517, 17595, 1108, 269, 12671, 2593, 270, 617, 11305, 4321, 17595, 1108, 21669, 270, 3847, 1532, 1778, 28878, 1532, 1778, 21867, 454, 268, 667, 7342, 267, 645, 269, 630, 333, 269, 546, 4700, 19382, 4858, 1441, 267, 9406, 4858, 1441, 267, 610, 670, 732, 4858, 1441, 286, 8158, 689, 5291, 2517, 338, 651, 696, 1355, 2593, 270, 788, 529, 3941, 270, 4510, 272, 279, 454, 268, 24261, 267, 631, 269, 630, 1220, 277, 1040, 634, 20212, 9737, 19382, 543, 9406, 4858, 1441, 22996, 8158, 689, 5291, 2517, 4944, 1091, 6269, 677, 3820, 270, 14895, 270, 866, 19543, 3613, 5138, 1532, 1054, 268, 1335, 7371, 12742, 11075, 15621, 454, 268, 29124, 267, 631, 269, 630, 1001, 274, 1040, 12824, 3181, 6064, 7242, 540, 834, 2431, 2634, 257, 543, 834, 3847, 1532, 1778, 257, 7209, 7592, 269, 2160, 540, 18096, 267, 8433, 540, 5398, 16457, 269, 8158, 689, 5291, 2517, 4178, 269, 680, 657, 821, 3820, 270, 14835, 270, 16769, 260, 274, 3849, 16211, 260, 273, 293, 1015, 269, 15389, 272, 260, 273, 293, 329, 16067, 4877, 821, 269, 23669, 14096, 276, 0, 298, 550, 13806, 8466, 5980, 454, 5804, 9504, 267, 519, 1863, 22605, 454, 763, 17996, 8466, 5980, 568, 606, 8116, 540, 519, 17996, 21094, 8551, 543, 11595, 16410, 6839, 6131, 547, 519, 11091, 540, 17996, 1686, 563, 1103, 5239, 476, 6942, 279, 267, 2818, 540, 519, 7671, 3228, 10370, 576, 636, 1558, 547, 2253, 26016, 1944, 519, 2486, 269, 1358, 556, 2987, 322, 2734, 730, 621, 543, 882, 11343, 547, 519, 6196, 3557, 7167, 20738, 538, 7671, 3228, 269, 634, 1533, 2968, 811, 8362, 3238, 538, 519, 2486, 1472, 519, 2490, 540, 519, 2540, 267, 543, 538, 476, 5002, 277, 621, 3459, 5781, 3261, 908, 7482, 585, 519, 2486, 269, 3245, 476, 5002, 280, 547, 476, 4572, 271, 267, 519, 2486, 729, 2212, 32483, 1229, 693, 519, 1007, 1533, 1698, 20738, 267, 1310, 799, 621, 729, 8120, 547, 519, 6196, 3557, 7167, 20738, 563, 4002, 5239, 476, 277, 267, 476, 6245, 277, 267, 519, 17996, 8466, 5980, 4810, 1776, 3801, 693, 26016, 1436, 269, 634, 4266, 729, 5697, 547, 14626, 728, 609, 519, 476, 8099, 628, 16683, 540, 519, 15713, 540, 7671, 3228, 267, 519, 1698, 20738, 540, 519, 17996, 20448, 269, 634, 13348, 5328, 22871, 2486, 540, 634, 7671, 3228, 20616, 667, 18805, 6410, 519, 8466, 5980, 883, 519, 2025, 15445, 8433, 8490, 267, 11105, 547, 519, 2025, 3557, 7167, 20738, 267, 1310, 1101, 13844, 15424, 13170, 267, 4843, 676, 3557, 11724, 894, 3627, 589, 269, 853, 2465, 548, 540, 8381, 5112, 6019, 267, 5128, 513, 4759, 540, 519, 5980, 2094, 476, 8146, 280, 269, 17135, 5261, 744, 269, 17659, 2917, 9896, 519, 7175, 9086, 269, 634, 20616, 667, 18805, 20834, 1242, 519, 1533, 7172, 4115, 595, 269, 645, 269, 4024, 529, 547, 4217, 538, 5044, 532, 519, 11623, 609, 8978, 23609, 543, 10367, 269, 634, 5449, 1533, 13646, 941, 9927, 883, 513, 21200, 19922, 267, 5497, 4166, 547, 1831, 519, 3557, 5399, 267, 1141, 519, 8466, 5980, 1131, 1265, 922, 1007, 1753, 269, 17996, 3557, 14787, 6723, 28234, 1188, 729, 15534, 585, 519, 6679, 11812, 267, 855, 2366, 1010, 7249, 17894, 267, 530, 5109, 519, 5980, 1967, 834, 1729, 4894, 713, 1279, 29280, 2014, 540, 6180, 2305, 4799, 1103, 476, 1220, 277, 267, 519, 17996, 8466, 5980, 647, 539, 922, 1378, 2818, 547, 2057, 735, 2391, 609, 22257, 11413, 543, 519, 7046, 19475, 2920, 269, 630, 29445, 4802, 6019, 18065, 7040, 267, 8865, 3143, 269, 476, 6187, 4211, 296, 268, 19740, 4792, 4700, 6736, 1373, 513, 1875, 17416, 18294, 602, 25173, 546, 1132, 689, 2818, 267, 519, 8466, 5980, 8195, 568, 606, 8116, 540, 519, 20448, 540, 17996, 543, 519, 20448, 781, 25642, 16410, 6839, 269, 634, 19634, 2740, 16840, 540, 519, 17996, 8466, 5980, 1185, 8179, 547, 3489, 519, 4408, 543, 3346, 1344, 540, 519, 5980, 781, 8274, 540, 6034, 832, 543, 15376, 5107, 269, 5980, 2818, 543, 17996, 4961, 8179, 513, 811, 1463, 1909, 538, 1528, 532, 741, 12044, 10492, 267, 982, 6035, 676, 519, 4540, 1062, 540, 5542, 540, 10492, 676, 2797, 19121, 720, 269, 634, 2818, 941, 6462, 538, 741, 4674, 676, 513, 15028, 3656, 6644, 5833, 689, 519, 17996, 30374, 4937, 269, 1717, 267, 606, 6644, 9783, 676, 1427, 3931, 25960, 23011, 7600, 339, 754, 523, 844, 14414, 519, 19634, 2740, 16840, 262, 2013, 269, 634, 9794, 9783, 606, 6644, 17548, 602, 519, 2818, 1185, 711, 19429, 513, 3210, 547, 519, 9290, 538, 513, 12905, 6073, 543, 267, 4061, 267, 941, 711, 13886, 547, 513, 6217, 540, 741, 20494, 9330, 563, 763, 2262, 834, 8063, 257, 729, 6569, 689, 519, 2486, 781, 2012, 538, 476, 3707, 278, 267, 543, 538, 476, 4198, 275, 621, 2968, 606, 8116, 540, 519, 17996, 25642, 16410, 6839, 563, 763, 2486, 13333, 1896, 15882, 912, 268, 634, 6196, 3557, 7167, 20738, 267, 513, 2817, 19866, 8092, 5658, 4092, 538, 7671, 3228, 267, 17996, 269, 898, 6039, 607, 519, 1698, 20738, 540, 17996, 689, 476, 8146, 271, 547, 476, 4489, 271, 269, 634, 2679, 568, 538, 519, 5259, 25954, 2511, 267, 543, 4867, 568, 835, 540, 1614, 15882, 13234, 676, 519, 17996, 8466, 5980, 269, 898, 2934, 513, 18883, 540, 519, 1533, 1876, 5399, 607, 621, 11478, 538, 519, 13524, 2540, 543, 513, 4159, 540, 16232, 5859, 8357, 8494, 807, 563, 268, 634, 17996, 13639, 3778, 7467, 267, 513, 9754, 13234, 676, 519, 17996, 8466, 5980, 543, 519, 17996, 2817, 15050, 267, 4092, 538, 7671, 3228, 267, 17996, 269, 898, 11363, 519, 3028, 540, 519, 17996, 631, 4106, 807, 267, 3557, 15050, 267, 543, 824, 15321, 4108, 3906, 269, 634, 9754, 10525, 513, 4015, 540, 32205, 267, 1196, 3022, 9604, 267, 25044, 267, 26977, 267, 17514, 267, 11147, 267, 2123, 3688, 267, 543, 824, 3937, 269, 898, 568, 24428, 538, 519, 6196, 3557, 1488, 11420, 531, 267, 513, 14500, 538, 519, 20096, 4860, 2526, 2511, 3710, 538, 476, 6977, 271, 547, 2777, 519, 9604, 543, 3937, 540, 519, 17996, 631, 4106, 807, 563, 268, 634, 7338, 667, 269, 18412, 4741, 585, 17996, 3778, 267, 513, 9754, 543, 1382, 5399, 4092, 538, 7671, 3228, 267, 17996, 269, 898, 8075, 519, 17996, 8466, 5980, 781, 8628, 8858, 834, 288, 17996, 17714, 2437, 543, 568, 3957, 585, 7338, 667, 542, 903, 3780, 18412, 267, 513, 17996, 14787, 563, 268, 5851, 2457, 540, 519, 17996, 8466, 5980, 454, 268, 5851, 2457, 540, 519, 19634, 2740, 16840, 540, 519, 17996, 8466, 5980, 454, 268, 21890, 828, 267, 3627, 661, 269, 634, 17996, 15610, 269, 2160, 4964, 540, 17996, 630, 1960, 273, 1916, 268, 18200, 517, 267, 11427, 269, 20388, 773, 595, 1421, 968, 11847, 2176, 689, 634, 17996, 8466, 5980, 267, 3245, 4706, 1234, 32360, 267, 5239, 476, 277, 267, 476, 6245, 277, 547, 5239, 476, 275, 267, 476, 5002, 273, 1848, 19193, 540, 519, 17996, 3557, 8466, 5980, 267, 5292, 269, 594, 267, 3143, 269, 476, 272, 267, 5130, 476, 5002, 274, 269, 7671, 3228, 267, 17996, 269, 6032, 269, 2568, 268, 8618, 563, 268, 15284, 6019, 18065, 7040, 267, 8865, 3143, 269, 476, 6187, 4211, 296, 268, 19740, 4792, 269, 20448, 540, 17996, 267, 25642, 16410, 6839, 267, 1299, 634, 17996, 8466, 5980, 642, 269, 18238, 6276, 267, 634, 19634, 2740, 16840, 540, 519, 17996, 8466, 5980, 267, 1696, 620, 563, 347, 1607, 17996, 5829, 2376, 568, 513, 20839, 269, 1411, 666, 948, 9504, 676, 9750, 621, 269, 347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26647, 24327, 543, 922, 25166, 731, 454, 763, 2012, 968, 312, 529, 549, 601, 892, 729, 24705, 1042, 593, 938, 2062, 15289, 962, 320, 752, 990, 676, 661, 529, 822, 779, 21425, 267, 519, 21425, 540, 14334, 267, 1310, 513, 3781, 17489, 6370, 563, 763, 1913, 602, 519, 4731, 778, 630, 13370, 264, 5143, 1864, 941, 968, 7288, 32646, 13453, 708, 4432, 758, 574, 642, 685, 574, 606, 1662, 574, 642, 520, 1276, 531, 892, 2443, 585, 596, 723, 1193, 1508, 630, 528, 17388, 264, 609, 519, 23942, 543, 609, 812, 543, 596, 723, 7753, 630, 289, 699, 880, 529, 476, 3953, 281, 3066, 1040, 634, 2262, 968, 338, 541, 13453, 892, 568, 6508, 689, 519, 2262, 13913, 358, 29645, 403, 498, 607, 538, 630, 295, 846, 1695, 476, 1321, 281, 275, 1070, 968, 663, 609, 1010, 1522, 646, 10692, 630, 403, 358, 29645, 403, 498, 264, 609, 513, 23942, 9861, 630, 10915, 2397, 547, 962, 320, 752, 990, 264, 6100, 962, 320, 752, 990, 2997, 514, 340, 17388, 609, 519, 21425, 267, 519, 23942, 267, 543, 609, 812, 2443, 661, 529, 822, 543, 700, 24170, 269, 17968, 267, 519, 2262, 32646, 13453, 568, 849, 585, 519, 561, 1662, 517, 540, 2048, 338, 541, 8730, 513, 1164, 11464, 267, 513, 2262, 602, 598, 17084, 669, 1662, 643, 639, 269, 962, 320, 752, 990, 2997, 514, 340, 729, 811, 608, 531, 1540, 982, 23109, 543, 812, 563, 763, 681, 3711, 600, 630, 300, 2727, 517, 1938, 264, 16432, 1018, 646, 4016, 547, 607, 519, 1744, 331, 9655, 1695, 1306, 541, 594, 330, 22894, 574, 267, 519, 968, 1320, 597, 10117, 27284, 14362, 892, 540, 519, 6014, 5132, 267, 607, 6508, 689, 519, 22560, 269, 1261, 4016, 547, 891, 607, 968, 1492, 4909, 18408, 540, 938, 4984, 543, 922, 1360, 13210, 1848, 630, 763, 774, 597, 10117, 14362, 540, 5132, 616, 6592, 538, 519, 681, 3711, 600, 779, 4367, 547, 28828, 330, 4258, 548, 330, 538, 8778, 622, 5842, 1117, 12541, 8094, 763, 476, 1556, 628, 6240, 540, 5132, 568, 519, 3661, 538, 10143, 8007, 543, 1427, 9084, 269, 634, 681, 3711, 600, 1281, 711, 13712, 513, 32488, 4157, 547, 1489, 519, 1523, 540, 8007, 585, 1434, 23339, 267, 855, 713, 6249, 568, 6829, 1082, 2053, 2429, 519, 22560, 269, 2368, 1806, 1331, 912, 2691, 649, 11886, 513, 10143, 4971, 618, 267, 649, 616, 16180, 938, 17185, 547, 13201, 1335, 269, 898, 568, 585, 713, 2601, 4805, 602, 649, 941, 2813, 269, 1635, 3257, 5378, 345, 341, 1695, 338, 649, 616, 3257, 938, 10279, 543, 16180, 938, 3003, 3483, 538, 1272, 269, 898, 3112, 581, 602, 649, 616, 30039, 17033, 585, 3257, 602, 799, 568, 1651, 3518, 550, 593, 721, 547, 798, 269, 8298, 1227, 267, 713, 4661, 568, 3280, 269, 1284, 666, 1413, 693, 519, 31676, 23109, 607, 6169, 269, 1358, 798, 711, 4309, 1022, 8007, 585, 741, 3028, 540, 13201, 1335, 267, 865, 1946, 1058, 649, 4309, 1022, 8007, 950, 649, 798, 3571, 536, 27570, 888, 763, 2626, 568, 602, 519, 12587, 649, 1205, 616, 1813, 547, 938, 6560, 1996, 519, 8616, 10045, 4498, 320, 12462, 5271, 559, 31007, 14615, 1107, 513, 4161, 519, 23109, 798, 711, 723, 269, 13201, 1335, 2813, 519, 8616, 10045, 4498, 320, 547, 1449, 721, 543, 15673, 721, 1169, 4090, 540, 938, 2729, 269, 898, 3123, 721, 547, 561, 755, 1310, 543, 7287, 9409, 269, 898, 2636, 16789, 4555, 267, 24656, 17246, 573, 269, 1879, 649, 9856, 6000, 1996, 6013, 267, 6132, 550, 1190, 267, 3181, 879, 30987, 267, 7287, 267, 18653, 267, 543, 5609, 995, 4555, 267, 938, 3646, 616, 30039, 267, 585, 621, 568, 606, 818, 706, 748, 543, 3586, 4305, 269, 769, 1249, 267, 32702, 609, 519, 8616, 10045, 4498, 320, 568, 971, 513, 1390, 610, 1372, 531, 602, 519, 13411, 694, 30138, 574, 2015, 621, 606, 957, 28330, 547, 17509, 563, 30952, 538, 519, 16163, 3873, 630, 289, 699, 880, 529, 476, 3451, 281, 866, 264, 519, 32488, 4157, 6645, 721, 602, 962, 320, 752, 990, 2997, 514, 340, 11751, 3959, 269, 968, 309, 599, 1731, 534, 1965, 1750, 331, 330, 553, 814, 611, 1695, 607, 615, 562, 1092, 327, 1744, 600, 19315, 14900, 544, 685, 344, 611, 536, 928, 328, 16422, 528, 1285, 328, 2701, 17057, 536, 685, 1889, 1695, 737, 3333, 527, 1695, 892, 2443, 543, 646, 11751, 519, 1612, 4897, 540, 519, 2361, 1141, 646, 1185, 3262, 1010, 17895, 267, 689, 519, 1688, 540, 519, 1453, 540, 16422, 528, 267, 2701, 17057, 779, 4651, 267, 585, 513, 4627, 4773, 540, 2724, 563, 3725, 321, 962, 320, 752, 990, 962, 24944, 540, 744, 14259, 3873, 630, 15876, 279, 268, 9692, 272, 1070, 5206, 513, 694, 2536, 1572, 1234, 321, 962, 320, 822, 328, 267, 630, 1492, 27099, 540, 962, 320, 752, 990, 962, 24944, 1649, 962, 12317, 644, 1695, 1040, 1261, 729, 513, 1167, 2118, 540, 519, 7395, 326, 573, 540, 2725, 30795, 761, 577, 269, 1261, 6941, 713, 32488, 4157, 1759, 593, 519, 2856, 602, 2367, 616, 30039, 676, 13201, 1335, 1317, 540, 741, 6560, 609, 519, 8616, 10045, 4498, 320, 269, 1261, 3705, 1206, 519, 1657, 14235, 4630, 850, 21154, 912, 763, 4731, 778, 602, 962, 320, 752, 990, 2997, 514, 340, 10692, 729, 538, 9759, 10213, 1864, 713, 269, 9232, 7203, 13453, 892, 538, 1312, 12823, 540, 519, 2262, 269, 1411, 723, 1312, 17388, 543, 2968, 11506, 1107, 968, 2690, 596, 723, 17388, 609, 803, 519, 8616, 10045, 4498, 320, 543, 7753, 1848, 901, 568, 519, 2601, 602, 596, 616, 513, 968, 338, 541, 892, 630, 534, 608, 531, 1540, 835, 1040, 962, 320, 752, 990, 1185, 12913, 1010, 5692, 538, 713, 1158, 269, 1261, 17388, 609, 519, 8616, 10045, 4498, 320, 543, 4465, 282, 543, 7551, 2968, 606, 608, 531, 1540, 1373, 563, 1607, 6560, 1996, 9409, 568, 519, 1272, 3483, 540, 1169, 4035, 269, 769, 713, 1158, 267, 938, 3903, 568, 711, 2436, 610, 711, 547, 4497, 538, 713, 4655, 267, 585, 519, 6370, 1996, 519, 8616, 10045, 4498, 320, 11225, 938, 1360, 6228, 269, 3776, 3903, 568, 3908, 1152, 547, 519, 2243, 540, 2436, 610, 711, 649, 4927, 7173, 841, 269, 1284, 616, 1572, 645, 928, 328, 962, 529, 549, 601, 267, 1453, 540, 519, 6560, 267, 543, 621, 568, 998, 938, 9620, 1063, 609, 9409, 602, 649, 1831, 608, 531, 1540, 269, 0, 2005, 568, 513, 3787, 2352, 547, 30387, 519, 918, 1258, 1440, 514, 345, 612, 514, 595, 1815, 559, 773, 1759, 2390, 519, 7608, 2409, 540, 8760, 585, 6928, 3631, 2221, 269, 2701, 568, 693, 2899, 1312, 20749, 3812, 543, 15072, 3710, 282, 4061, 1352, 666, 581, 1767, 547, 21078, 538, 513, 7121, 782, 1200, 1378, 563, 763, 2203, 568, 9112, 7361, 540, 17646, 910, 2759, 267, 8032, 543, 4421, 1229, 7357, 676, 1688, 269, 4173, 26083, 729, 16826, 539, 856, 538, 3670, 6810, 543, 7143, 4765, 1927, 269, 22020, 971, 607, 10800, 331, 5887, 559, 2209, 616, 5884, 4751, 269, 9540, 518, 267, 811, 2143, 3334, 630, 321, 4883, 8163, 267, 751, 25393, 338, 267, 30518, 267, 3092, 4700, 616, 4234, 515, 2389, 29354, 21567, 563, 301, 22022, 782, 31211, 543, 25336, 1031, 547, 5150, 519, 2203, 779, 3514, 14005, 543, 547, 8936, 519, 22530, 4450, 547, 519, 26083, 616, 15931, 569, 10703, 4705, 269, 16270, 6514, 540, 519, 8737, 2203, 1152, 3670, 1507, 17684, 9843, 616, 7298, 563, 293, 548, 27688, 10458, 779, 4810, 9858, 15069, 5249, 538, 13447, 609, 519, 2203, 779, 7718, 2209, 547, 2327, 602, 1200, 14969, 5862, 10325, 1223, 581, 4294, 1510, 1390, 7411, 269, 901, 5921, 602, 3334, 1185, 547, 581, 27358, 547, 1450, 519, 679, 600, 25527, 1569, 547, 782, 7252, 1107, 930, 1991, 547, 543, 930, 1310, 10198, 269, 9282, 519, 946, 540, 12776, 2762, 1185, 13175, 547, 1491, 3180, 267, 9755, 971, 607, 18307, 27688, 10458, 543, 631, 7564, 337, 330, 4802, 804, 2426, 547, 519, 8810, 2409, 543, 6964, 3810, 9952, 679, 600, 25527, 543, 7718, 2209, 563, 763, 2203, 568, 711, 1510, 922, 13655, 267, 543, 1082, 2055, 949, 11014, 2611, 796, 753, 26833, 269, 19724, 7648, 1063, 519, 4540, 3631, 949, 581, 11911, 547, 519, 1249, 602, 789, 616, 29586, 267, 855, 1866, 616, 7138, 1782, 563, 1103, 476, 4489, 279, 267, 693, 519, 1439, 540, 13431, 296, 267, 519, 20918, 1372, 583, 2675, 615, 32008, 1336, 2933, 609, 513, 1454, 3146, 706, 1027, 18239, 1862, 663, 1100, 2185, 1922, 684, 6773, 539, 13274, 619, 269, 634, 918, 1258, 1440, 514, 345, 612, 514, 595, 1815, 559, 773, 267, 4971, 324, 1229, 676, 519, 2136, 2276, 476, 272, 333, 476, 4489, 278, 267, 1185, 1831, 519, 7708, 641, 3560, 2475, 15551, 870, 31996, 517, 269, 1717, 267, 519, 32008, 941, 15868, 547, 1832, 835, 6928, 1287, 896, 4070, 281, 519, 476, 16020, 262, 18618, 1922, 684, 6773, 539, 9399, 19090, 540, 476, 4572, 275, 269, 20290, 6157, 606, 3801, 729, 1500, 547, 7369, 519, 2203, 781, 9043, 547, 18613, 602, 6077, 269, 15448, 3769, 9427, 1079, 540, 519, 2203, 781, 1187, 23764, 267, 4227, 519, 1297, 540, 544, 6814, 689, 1614, 547, 1079, 267, 543, 13868, 543, 22198, 4474, 513, 1297, 540, 1236, 2643, 2074, 593, 1200, 10935, 16064, 563, 763, 11348, 609, 799, 18307, 27688, 10458, 779, 17646, 1159, 603, 338, 18705, 519, 2203, 2968, 7805, 2899, 519, 5862, 1185, 1044, 6569, 269, 769, 1249, 267, 621, 2968, 513, 2241, 2339, 547, 3313, 799, 3334, 1185, 1044, 3773, 547, 519, 2203, 1813, 547, 519, 17071, 2409, 540, 4070, 269, 3962, 1007, 6602, 267, 2705, 267, 3274, 3366, 547, 811, 2055, 563, 1432, 2968, 540, 519, 2203, 779, 16996, 543, 546, 822, 1080, 286, 9399, 19090, 5645, 1256, 811, 16996, 982, 1705, 519, 595, 1815, 559, 773, 267, 2705, 1152, 513, 2582, 1383, 856, 540, 519, 3312, 13977, 5498, 1597, 546, 822, 1080, 7283, 609, 519, 2203, 269, 901, 729, 606, 2491, 762, 8482, 540, 9939, 5310, 1813, 547, 519, 1249, 602, 1352, 1185, 606, 19514, 1297, 630, 1492, 9642, 546, 822, 527, 6039, 607, 606, 19671, 31219, 1040, 2372, 924, 2693, 519, 546, 822, 1080, 941, 6569, 538, 8424, 543, 621, 568, 2009, 602, 12341, 267, 5310, 10268, 538, 513, 17535, 9754, 267, 513, 2203, 786, 14693, 581, 4362, 547, 581, 8876, 519, 595, 1815, 559, 773, 779, 7508, 16996, 543, 546, 822, 1080, 563, 8170, 1880, 1719, 281, 713, 2203, 568, 519, 1152, 1634, 1383, 21243, 7357, 609, 16826, 539, 21567, 533, 2180, 3421, 543, 9486, 269, 2353, 824, 3631, 1336, 547, 4266, 4183, 1743, 2683, 533, 2180, 3421, 543, 9703, 8654, 269, 12984, 713, 2203, 519, 18634, 888, 763, 3057, 29794, 685, 7467, 2203, 543, 519, 1383, 693, 519, 19395, 6019, 7467, 666, 581, 1767, 547, 581, 9308, 796, 5306, 1229, 282, 2705, 519, 2242, 1500, 547, 713, 2203, 543, 547, 519, 1383, 538, 6601, 1067, 6409, 523, 616, 20427, 1114, 269, 4208, 286, 21518, 3864, 2861, 3631, 2366, 1394, 547, 18307, 27688, 10458, 585, 1201, 9231, 267, 1247, 2694, 1152, 941, 9447, 547, 519, 772, 2529, 269, 286, 634, 9399, 19090, 16654, 15958, 3514, 14005, 1336, 609, 713, 2203, 941, 15069, 24015, 1500, 269, 4208, 2322, 971, 4674, 883, 1507, 3877, 602, 1131, 979, 7361, 29462, 1247, 2101, 19260, 941, 13401, 538, 10169, 695, 617, 11276, 6752, 888, 4322, 616, 855, 513, 1906, 540, 519, 2055, 602, 2104, 8906, 1522, 2626, 269, 6145, 519, 6077, 9887, 267, 18307, 27688, 10458, 779, 918, 1258, 1440, 514, 345, 612, 514, 595, 1815, 559, 773, 814, 1082, 2984, 547, 2995, 256, 0, 17920, 23645, 2657, 23645, 7348, 9137, 454, 288, 3212, 788, 20553, 634, 4790, 15856, 757, 2986, 2657, 4675, 6123, 1280, 8866, 454, 13707, 15080, 281, 476, 1240, 454, 14737, 5644, 543, 8324, 616, 519, 1079, 1898, 2609, 5532, 609, 519, 2949, 9422, 4170, 540, 707, 1453, 269, 1452, 616, 2877, 676, 519, 1560, 538, 1507, 9424, 543, 616, 18481, 3177, 676, 519, 7059, 2732, 602, 568, 6039, 547, 707, 19920, 269, 769, 2489, 267, 1072, 9360, 543, 1617, 643, 527, 7530, 616, 10355, 2877, 1282, 1647, 6689, 28559, 1287, 972, 616, 17756, 269, 17925, 2103, 949, 4363, 513, 2834, 18262, 540, 519, 1482, 585, 930, 3214, 1765, 18034, 952, 789, 616, 12155, 547, 4189, 3810, 16496, 11326, 610, 7985, 689, 20093, 1738, 4189, 6208, 610, 513, 4057, 14031, 269, 4258, 342, 762, 14342, 538, 3818, 10366, 616, 849, 2139, 593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 2022, 568, 1572, 4400, 3427, 7689, 4643, 22276, 269, 1411, 666, 4647, 782, 519, 3239, 827, 1753, 543, 1374, 585, 1863, 269, 12989, 616, 519, 3239, 19922, 540, 4400, 3427, 7689, 4643, 22276, 267, 952, 596, 899, 519, 3239, 610, 899, 713, 2022, 5225, 3565, 609, 721, 547, 2671, 713, 2022, 547, 707, 1514, 2923, 610, 4688, 713, 2022, 538, 707, 3926, 563, 2791, 666, 4647, 782, 519, 2592, 2630, 676, 14467, 519, 4647, 7735, 538, 519, 5377, 540, 519, 2592, 269, 18461, 1863, 547, 2972, 543, 1205, 938, 1543, 563, 2467, 616, 1082, 7899, 2592, 540, 4400, 3427, 7689, 4643, 22276, 269, 1411, 666, 1265, 856, 610, 596, 666, 19584, 1022, 540, 519, 2592, 971, 607, 269, 12005, 28088, 1280, 4400, 3427, 7689, 4643, 22276, 21584, 19396, 269, 12414, 527, 514, 7689, 12697, 269, 4400, 3427, 7689, 4643, 22276, 476, 274, 5131, 6478, 26671, 8281, 269, 476, 4375, 9208, 7689, 4643, 22276, 476, 1911, 271, 16103, 6168, 7689, 4643, 269, 7689, 4643, 7151, 28315, 7689, 4643, 1280, 4841, 5131, 21584, 269, 5664, 3427, 7689, 4643, 22276, 16574, 919, 269, 6355, 7689, 753, 2296, 534, 11628, 14594, 22276, 1280, 4400, 269, 4400, 3427, 16497, 808, 2894, 2793, 681, 7495, 305, 5456, 16604, 313, 269, 26346, 7689, 4643, 21929, 17817, 6264, 269, 28315, 12697, 22276, 5131, 15026, 28315, 7689, 4643, 22276, 269, 6355, 4643, 7689, 12697, 1280, 16504, 14594, 10507, 331, 2296, 4400, 269, 5149, 7689, 12697, 22276, 769, 1087, 338, 1066, 614, 1440, 2478, 1723, 269, 476, 2190, 28315, 7689, 4643, 22276, 9185, 12726, 5664, 3427, 7689, 269, 4400, 3427, 4569, 7689, 4643, 22276, 476, 4391, 277, 27628, 6355, 5004, 269, 4400, 3427, 7689, 4643, 22276, 9752, 8249, 11334, 9796, 269, 0, 306, 754, 519, 3095, 2630, 3842, 4757, 610, 594, 10157, 4878, 454, 303, 6974, 547, 707, 5304, 9359, 6552, 6881, 454, 268, 12833, 1243, 5304, 2818, 786, 1246, 596, 607, 596, 6330, 543, 1459, 454, 268, 4658, 14376, 547, 513, 6881, 798, 711, 991, 513, 2776, 17844, 2272, 454, 268, 901, 3095, 1163, 2231, 476, 1015, 3764, 1310, 596, 2673, 519, 6881, 454, 268, 589, 5021, 540, 476, 1789, 3755, 666, 1246, 707, 6881, 454, 268, 6258, 811, 827, 713, 4183, 538, 938, 1702, 3490, 2376, 454, 9558, 265, 12910, 11659, 476, 6200, 454, 9558, 5296, 540, 3690, 265, 12910, 11659, 476, 6200, 454, 257, 29638, 5772, 12011, 257, 568, 930, 2158, 2093, 543, 8847, 827, 741, 4008, 563, 7093, 31084, 13834, 25460, 10494, 630, 22333, 11679, 994, 732, 519, 21770, 676, 799, 2576, 16858, 547, 581, 454, 15862, 676, 8751, 7720, 1681, 454, 3519, 32383, 540, 8682, 454, 13070, 2658, 547, 14858, 281, 10289, 3690, 265, 12910, 11659, 454, 257, 9558, 14054, 257, 538, 513, 21055, 2631, 1797, 834, 1729, 3444, 936, 4008, 257, 543, 568, 513, 2165, 585, 1004, 4171, 4008, 3961, 1281, 711, 6474, 519, 1560, 538, 799, 789, 941, 4535, 563, 763, 28008, 834, 10520, 265, 257, 568, 1031, 547, 14574, 602, 835, 568, 6158, 827, 519, 2146, 22597, 2165, 2676, 2254, 519, 3961, 2165, 563, 9558, 265, 5288, 269, 3690, 14054, 454, 29638, 5288, 269, 11557, 454, 1432, 798, 596, 1616, 547, 1451, 2221, 888, 257, 29638, 257, 4016, 547, 519, 13998, 9112, 5107, 267, 5615, 267, 2238, 267, 543, 10305, 602, 513, 2016, 2486, 15109, 3617, 610, 20025, 585, 1004, 540, 1585, 28486, 269, 898, 781, 849, 513, 1268, 781, 6418, 2631, 540, 1582, 538, 6935, 547, 891, 5107, 563, 28494, 1410, 257, 4016, 547, 519, 12214, 10486, 543, 5924, 3604, 1063, 1480, 4703, 563, 257, 29638, 20309, 257, 568, 875, 2576, 21286, 569, 20475, 2933, 563, 257, 289, 8344, 11557, 257, 568, 519, 1560, 2576, 729, 4535, 538, 269, 13575, 649, 1589, 540, 713, 607, 834, 332, 1446, 257, 610, 834, 325, 24580, 257, 581, 649, 849, 991, 547, 3314, 602, 834, 5793, 16303, 257, 568, 849, 606, 4781, 563, 28494, 1410, 783, 18112, 550, 566, 257, 6227, 945, 543, 1018, 596, 616, 13631, 547, 563, 257, 305, 558, 4842, 18112, 550, 566, 257, 568, 2147, 547, 4638, 10066, 267, 855, 621, 6227, 513, 25757, 543, 4874, 600, 5387, 9163, 563, 28494, 1410, 783, 10263, 257, 568, 1018, 596, 2965, 798, 609, 707, 1560, 543, 267, 5732, 267, 609, 824, 1004, 781, 4703, 563, 12441, 594, 2626, 782, 707, 2055, 888, 293, 655, 24100, 540, 4741, 5772, 885, 454, 300, 553, 1529, 710, 540, 4741, 5772, 885, 454, 1103, 9737, 610, 31072, 454, 2807, 3286, 7340, 519, 9352, 454, 1729, 21058, 22077, 655, 24100, 630, 21587, 293, 994, 11328, 16303, 547, 21058, 22077, 655, 24100, 630, 311, 307, 293, 994, 11328, 16303, 547, 22503, 270, 10048, 19072, 553, 1529, 710, 630, 311, 26774, 994, 300, 1446, 22077, 24580, 547, 6348, 5174, 2435, 630, 21587, 311, 270, 10499, 311, 994, 9199, 4034, 529, 630, 24154, 7588, 13624, 11294, 3013, 994, 300, 24660, 654, 1695, 710, 630, 295, 1177, 2967, 328, 994, 288, 571, 7079, 328, 630, 307, 7056, 24385, 340, 994, 9773, 629, 2967, 270, 9773, 531, 2967, 20324, 1380, 328, 630, 289, 1872, 529, 910, 12868, 994, 10817, 31757, 2576, 781, 21770, 1759, 593, 741, 5920, 568, 513, 1100, 5991, 334, 267, 855, 6998, 1135, 7019, 1018, 15749, 2576, 27422, 568, 9338, 310, 17751, 306, 513, 1434, 2856, 563, 1103, 1249, 267, 3478, 538, 519, 4356, 540, 454, 27965, 12601, 28475, 24535, 596, 2743, 585, 454, 26132, 623, 294, 11679, 568, 513, 1390, 2856, 2336, 15648, 595, 2106, 628, 807, 17363, 4752, 476, 1001, 275, 454, 2414, 5623, 901, 19809, 912, 4178, 269, 1097, 985, 30266, 4752, 2593, 3436, 3718, 10914, 3436, 5623, 5800, 531, 454, 19445, 610, 769, 6261, 3205, 24720, 15874, 2336, 29638, 16250, 23018, 610, 24940, 21770, 256, 0, 14367, 9954, 3964, 1864, 607, 513, 1134, 1634, 10564, 538, 31222, 269, 769, 1079, 540, 1010, 9954, 835, 11331, 968, 300, 1278, 547, 12312, 892, 543, 519, 824, 968, 19604, 12661, 892, 1312, 723, 930, 6476, 543, 4334, 1063, 519, 1079, 269, 634, 6648, 968, 300, 1278, 547, 12312, 892, 568, 811, 540, 513, 1863, 11430, 878, 13576, 6648, 269, 769, 713, 6648, 18999, 8725, 24806, 4991, 519, 5048, 2066, 538, 513, 3532, 4323, 269, 634, 6648, 568, 1936, 730, 689, 513, 3993, 779, 21169, 543, 519, 7326, 1352, 3947, 1200, 5067, 607, 1224, 538, 519, 1739, 3515, 912, 306, 517, 7911, 267, 1810, 1406, 596, 2490, 1394, 454, 10673, 1406, 596, 1305, 1524, 593, 519, 3268, 454, 685, 290, 1021, 596, 9060, 621, 779, 2186, 518, 2182, 454, 10673, 1406, 596, 2887, 1631, 1765, 454, 2690, 594, 685, 572, 1869, 979, 514, 8730, 9932, 2676, 296, 685, 572, 1869, 6172, 16535, 685, 2676, 4517, 1272, 585, 803, 513, 514, 1406, 1044, 1100, 12627, 25047, 269, 1496, 1691, 268, 736, 2639, 4322, 5036, 540, 3515, 2769, 519, 9933, 725, 540, 513, 3993, 945, 5249, 998, 513, 2182, 942, 267, 543, 568, 10213, 1200, 5067, 1200, 1650, 269, 2701, 568, 10213, 1200, 5067, 713, 568, 519, 14488, 1352, 950, 998, 547, 1831, 945, 1352, 568, 2221, 538, 6891, 269, 4429, 1862, 1647, 540, 1957, 4429, 305, 2086, 619, 611, 267, 28199, 269, 834, 7072, 15301, 8025, 12767, 18161, 32209, 15760, 700, 20315, 4306, 2177, 670, 308, 21203, 2464, 7565, 27287, 4828, 1040, 257, 17826, 476, 275, 630, 1220, 280, 2567, 476, 27628, 269, 14288, 2290, 17572, 269, 5680, 269, 476, 1724, 8734, 269, 476, 1001, 274, 563, 295, 753, 523, 267, 8751, 269, 834, 295, 1872, 1127, 781, 31222, 1701, 1401, 2364, 1807, 476, 6812, 269, 273, 630, 1220, 271, 2567, 476, 11793, 269, 22335, 13129, 7813, 630, 295, 15030, 269, 14355, 1040, 5680, 269, 476, 1724, 8734, 269, 476, 1001, 274, 269, 2999, 5291, 2517, 331, 3869, 269, 3916, 9693, 12975, 281, 26801, 280, 270, 2644, 7933, 564, 841, 286, 341, 573, 284, 1704, 261, 338, 573, 284, 276, 10623, 274, 2041, 2801, 268, 24496, 323, 268, 29024, 325, 1532, 6858, 274, 268, 278, 324, 275, 6767, 9834, 320, 20969, 321, 260, 2412, 338, 11970, 16936, 337, 14625, 261, 327, 573, 284, 274, 261, 321, 11907, 11417, 1320, 337, 718, 267, 5261, 4469, 842, 267, 1696, 620, 269, 589, 18361, 547, 9085, 269, 1715, 3840, 281, 31660, 267, 476, 3422, 271, 563, 305, 2086, 619, 611, 267, 28199, 269, 834, 299, 836, 8725, 24806, 543, 3571, 31379, 593, 519, 19382, 1701, 634, 18999, 8725, 24806, 5623, 476, 276, 269, 273, 630, 293, 718, 476, 2735, 277, 2567, 476, 4097, 268, 2412, 269, 681, 696, 269, 538, 12634, 16520, 29576, 269, 3798, 269, 1546, 4011, 1695, 589, 269, 5576, 18283, 269, 5292, 269, 476, 10482, 269, 24354, 281, 717, 1446, 3194, 267, 476, 1960, 279, 269, 9085, 12754, 4741, 269, 5680, 269, 476, 1724, 8734, 269, 476, 1001, 274, 563, 23921, 5675, 6435, 888, 7476, 5955, 593, 8239, 267, 9355, 267, 6677, 1707, 543, 7954, 14678, 5861, 515, 1188, 707, 1957, 19314, 268, 594, 269, 4985, 281, 634, 31222, 11193, 634, 8498, 540, 31222, 267, 1715, 3840, 729, 8385, 3964, 676, 10656, 17135, 8834, 853, 8500, 1407, 656, 538, 476, 13679, 279, 269, 898, 729, 3957, 1310, 513, 10656, 2749, 267, 968, 301, 773, 17703, 31222, 269, 898, 18795, 593, 513, 476, 276, 269, 276, 4009, 13304, 1858, 540, 24607, 5087, 540, 476, 9834, 628, 9335, 269, 634, 476, 8146, 271, 338, 4718, 519, 10205, 618, 540, 31222, 1813, 547, 519, 1249, 602, 519, 3484, 4133, 8959, 547, 3132, 269, 634, 2804, 6051, 538, 31222, 3459, 538, 476, 8146, 278, 269, 898, 1630, 16556, 25133, 267, 6752, 762, 16973, 602, 6035, 513, 3309, 267, 3638, 4282, 3177, 676, 1896, 5238, 543, 6703, 540, 519, 1554, 2807, 1496, 15912, 281, 6965, 267, 18999, 8725, 24806, 2639, 12739, 279, 1913, 630, 275, 269, 279, 3817, 994, 268, 4438, 513, 942, 538, 1977, 3778, 941, 3979, 4892, 1185, 1100, 2924, 540, 5191, 540, 4633, 610, 1256, 513, 1318, 547, 8917, 269, 19663, 909, 538, 1082, 1114, 4872, 543, 2713, 609, 1082, 14077, 267, 18999, 8725, 24806, 4810, 6710, 269, 18999, 8725, 24806, 1031, 6965, 547, 3717, 547, 519, 1004, 269, 18999, 8725, 24806, 568, 513, 22082, 540, 3979, 1977, 3332, 543, 519, 31222, 25174, 5470, 269, 6004, 269, 24806, 6131, 1010, 9954, 547, 519, 9620, 267, 11348, 267, 9909, 267, 543, 7292, 17536, 1182, 540, 3979, 1977, 1004, 269, 18999, 8725, 24806, 729, 4535, 6276, 18999, 8725, 24806, 267, 5988, 476, 272, 267, 476, 5002, 273, 538, 808, 641, 4802, 267, 16713, 2807, 1496, 15912, 281, 6965, 267, 18999, 8725, 24806, 267, 10168, 267, 2639, 6507, 278, 1913, 630, 273, 269, 273, 3817, 994, 268, 4340, 547, 23894, 344, 17659, 2917, 538, 1977, 8836, 3778, 267, 18999, 8725, 24806, 729, 4535, 5988, 476, 272, 267, 476, 5002, 273, 538, 808, 641, 4802, 267, 16713, 269, 19663, 909, 267, 646, 18808, 609, 930, 2182, 2053, 269, 3571, 3237, 32682, 1027, 950, 646, 729, 2370, 543, 646, 8057, 909, 609, 9444, 540, 1010, 3237, 269, 24806, 729, 6659, 676, 1010, 20516, 2094, 1010, 4651, 6410, 547, 6792, 1310, 741, 16028, 543, 1010, 3993, 6410, 547, 13325, 269, 898, 729, 950, 24806, 729, 24369, 602, 646, 6410, 856, 547, 12493, 267, 13325, 547, 581, 22653, 1243, 609, 1010, 3993, 269, 901, 568, 1141, 24806, 3459, 1603, 6965, 2807, 1496, 15912, 281, 6965, 267, 12092, 2639, 278, 5780, 1913, 630, 273, 269, 273, 3817, 994, 268, 10801, 3979, 1977, 1686, 1114, 2043, 723, 1500, 513, 1713, 1764, 602, 1131, 11014, 1689, 1919, 269, 769, 519, 476, 5002, 271, 338, 31222, 2968, 519, 12044, 1560, 585, 519, 4332, 540, 15690, 543, 21462, 269, 901, 849, 1930, 7450, 585, 513, 1007, 5736, 1572, 519, 31222, 11193, 269, 4438, 713, 942, 513, 10564, 2012, 18999, 8725, 24806, 729, 5189, 269, 18999, 8725, 24806, 2813, 6965, 602, 11542, 856, 547, 1004, 269, 898, 1185, 602, 795, 1794, 5414, 642, 32079, 6404, 609, 24808, 1893, 540, 3903, 269, 1261, 1223, 28958, 519, 8186, 540, 1004, 609, 519, 9997, 6888, 540, 1010, 1603, 267, 543, 6813, 519, 9620, 540, 1018, 729, 2469, 593, 609, 17051, 2807, 1496, 15912, 281, 3979, 1977, 3778, 2639, 15686, 272, 1913, 630, 274, 269, 275, 3817, 994, 268, 3267, 634, 24383, 1397, 519, 1377, 1352, 729, 693, 1282, 1200, 1296, 540, 2713, 269, 968, 22142, 1394, 1524, 689, 513, 4161, 1175, 1317, 621, 4667, 2352, 269, 5213, 1406, 3247, 20678, 585, 1945, 596, 4076, 2907, 3459, 269, 1403, 596, 666, 1376, 621, 267, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 18113, 21092, 267, 610, 1148, 7781, 20162, 568, 711, 18113, 6569, 267, 5821, 540, 519, 12760, 666, 2049, 543, 16132, 2164, 563, 3674, 1488, 628, 16967, 8412, 6391, 2922, 888, 1103, 1346, 2550, 1141, 818, 628, 16967, 8412, 568, 8612, 267, 519, 5318, 5354, 4324, 689, 6391, 269, 674, 4288, 540, 513, 4745, 568, 17216, 513, 2101, 23072, 267, 855, 891, 5773, 616, 4122, 5340, 693, 519, 10960, 18669, 540, 9291, 902, 543, 10960, 17889, 18669, 269, 1284, 786, 581, 20938, 547, 2285, 607, 1454, 948, 543, 1489, 607, 2009, 952, 596, 6430, 547, 2285, 707, 2915, 610, 3032, 519, 4316, 540, 818, 628, 16967, 8412, 6391, 563, 10111, 25659, 1488, 628, 16967, 8412, 17434, 674, 4288, 18401, 538, 17268, 454, 288, 6512, 720, 609, 10943, 842, 610, 5641, 568, 2356, 5116, 585, 1614, 547, 2185, 4374, 547, 1683, 32278, 543, 2149, 4745, 543, 1651, 1707, 269, 634, 6512, 720, 786, 991, 547, 581, 9738, 607, 9859, 676, 707, 16943, 269, 17020, 1137, 616, 2356, 4957, 12353, 267, 543, 519, 10551, 1651, 1707, 1058, 581, 13761, 811, 4749, 547, 2327, 3968, 610, 10138, 632, 327, 4593, 775, 814, 711, 7018, 269, 17020, 1645, 1058, 3251, 2973, 543, 3819, 269, 1411, 786, 991, 547, 2638, 585, 5641, 543, 6512, 720, 21399, 543, 547, 2327, 10009, 568, 7850, 269, 27659, 999, 786, 581, 6569, 538, 476, 1015, 547, 476, 1691, 2395, 676, 707, 16943, 269, 1323, 531, 2471, 923, 786, 581, 11311, 2022, 1606, 29864, 543, 11216, 543, 4550, 5343, 14898, 952, 16363, 2556, 269, 11314, 1058, 581, 11658, 547, 3908, 15211, 593, 513, 682, 1662, 269, 1488, 628, 16967, 8412, 786, 581, 9672, 676, 1246, 5346, 10237, 1748, 693, 2185, 267, 5216, 267, 543, 12964, 4374, 610, 607, 16363, 3617, 1310, 6391, 676, 707, 16943, 269, 1323, 552, 2275, 20683, 949, 581, 1031, 547, 2061, 707, 2915, 7679, 1359, 609, 519, 6512, 720, 610, 10551, 10138, 269, 3487, 658, 2597, 12946, 593, 519, 18215, 2356, 759, 6979, 538, 835, 547, 1079, 4374, 267, 609, 2407, 2597, 12946, 693, 1079, 547, 2185, 3275, 563, 291, 690, 2961, 25659, 1488, 628, 16967, 8412, 17434, 674, 4288, 26488, 19047, 454, 6635, 628, 16967, 8412, 5773, 666, 581, 12155, 547, 8374, 971, 607, 23170, 8598, 538, 519, 10549, 267, 610, 5821, 540, 10824, 269, 7743, 2126, 609, 11216, 267, 6297, 10551, 5773, 267, 543, 6297, 17501, 543, 29356, 540, 10551, 10824, 666, 2061, 891, 8374, 689, 9648, 269, 4033, 17873, 543, 10549, 991, 547, 22771, 2394, 7067, 4386, 267, 543, 713, 12662, 3773, 8833, 593, 873, 269, 1403, 2068, 610, 4524, 568, 1459, 538, 824, 17873, 713, 786, 1711, 2152, 543, 818, 628, 16967, 8412, 540, 10549, 949, 711, 581, 3617, 269, 1773, 919, 949, 991, 547, 581, 6569, 1310, 7067, 4386, 952, 8374, 2049, 971, 607, 4411, 8417, 267, 3968, 267, 16698, 267, 610, 8833, 689, 6676, 13307, 563, 10111, 25659, 1488, 628, 16967, 8412, 10644, 538, 17268, 454, 10111, 25659, 7063, 689, 3834, 699, 868, 5014, 1282, 2534, 610, 10913, 971, 607, 8813, 610, 5179, 6174, 10913, 616, 1455, 538, 5243, 269, 23496, 707, 2915, 779, 1604, 568, 2922, 689, 10898, 543, 602, 789, 616, 711, 2451, 5667, 10967, 14876, 610, 10690, 3544, 786, 7494, 2569, 519, 10171, 789, 786, 581, 3238, 538, 7622, 10913, 267, 5179, 6174, 10913, 267, 610, 24515, 609, 824, 2831, 267, 4611, 538, 5945, 547, 519, 15790, 531, 10549, 269, 0, 347, 325, 14660, 910, 585, 1475, 323, 2378, 14660, 910, 585, 621, 2008, 347, 327, 5793, 910, 3297, 1475, 323, 1695, 5793, 910, 3297, 621, 2008, 347, 341, 517, 910, 689, 1475, 323, 822, 517, 910, 689, 621, 2008, 347, 323, 3420, 910, 998, 1475, 323, 611, 3420, 910, 998, 621, 2008, 347, 2466, 910, 609, 1475, 17043, 527, 910, 609, 621, 2008, 347, 341, 528, 910, 538, 4395, 540, 267, 1354, 1475, 323, 2948, 910, 538, 4395, 540, 621, 267, 1354, 2008, 347, 613, 2102, 910, 1996, 1475, 323, 720, 2102, 910, 1996, 621, 2008, 347, 333, 778, 910, 1310, 1475, 323, 534, 778, 910, 1310, 621, 2008, 347, 30349, 910, 693, 1475, 323, 1794, 340, 910, 693, 621, 2008, 347, 2041, 328, 910, 693, 267, 538, 267, 693, 519, 1753, 540, 1475, 323, 23042, 328, 910, 693, 621, 267, 538, 621, 267, 693, 519, 1753, 540, 621, 2008, 347, 928, 17754, 910, 2282, 547, 267, 1985, 547, 1475, 323, 2033, 17754, 910, 2282, 547, 621, 267, 1985, 547, 621, 2008, 347, 345, 342, 4593, 1156, 910, 1063, 1475, 323, 1794, 342, 4593, 1156, 910, 1063, 621, 2008, 2691, 596, 1616, 547, 2161, 2048, 527, 685, 609, 840, 21752, 799, 2253, 609, 513, 20262, 267, 596, 2322, 519, 18772, 29593, 268, 538, 4395, 540, 519, 840, 6570, 547, 1118, 621, 4443, 547, 24969, 912, 347, 534, 910, 547, 267, 593, 1475, 323, 15546, 910, 547, 621, 267, 593, 621, 2008, 347, 514, 910, 538, 267, 883, 1475, 323, 18288, 910, 538, 621, 267, 883, 621, 2008, 347, 636, 910, 5180, 1475, 323, 30946, 910, 5180, 621, 2008, 347, 31348, 910, 593, 1283, 540, 1475, 323, 541, 31348, 910, 593, 1283, 540, 621, 2008, 347, 6686, 828, 910, 936, 267, 1657, 1475, 323, 541, 6686, 828, 910, 936, 621, 267, 1657, 621, 2008, 347, 684, 614, 910, 896, 1475, 323, 541, 684, 614, 910, 896, 621, 2008, 2791, 798, 711, 946, 13005, 268, 950, 6158, 827, 513, 1268, 269, 1411, 946, 513, 2123, 15749, 563, 347, 325, 14660, 1775, 18255, 910, 585, 1864, 1475, 325, 14660, 20146, 910, 609, 1864, 2008, 347, 2466, 1775, 327, 332, 910, 585, 1200, 1475, 2466, 1775, 15590, 910, 609, 1200, 2008, 1692, 1131, 596, 2161, 891, 538, 4436, 888, 291, 3385, 610, 667, 3385, 1143, 1107, 667, 3385, 1143, 639, 1107, 729, 606, 7499, 543, 5339, 3350, 602, 729, 8547, 538, 2098, 6686, 5341, 267, 16848, 538, 476, 4489, 277, 607, 513, 5114, 547, 519, 32012, 885, 540, 2622, 2782, 594, 269, 634, 3350, 16768, 2394, 476, 4572, 275, 563, 291, 3385, 10367, 267, 6965, 543, 12644, 941, 1419, 30237, 673, 543, 21494, 267, 1419, 1210, 19309, 4948, 3688, 899, 7851, 267, 1216, 535, 870, 1622, 267, 12109, 13827, 543, 5721, 17914, 543, 10912, 873, 1148, 563, 3080, 540, 519, 27428, 2899, 4330, 875, 547, 1118, 513, 667, 3385, 626, 6648, 1107, 2759, 856, 519, 1367, 1913, 689, 513, 11356, 2376, 267, 1747, 519, 1913, 538, 513, 9126, 267, 1287, 21199, 621, 269, 4495, 519, 1913, 616, 795, 14217, 909, 267, 1491, 856, 1142, 2262, 543, 5299, 873, 856, 538, 519, 1931, 789, 2451, 519, 9126, 563, 763, 3310, 540, 667, 3385, 1143, 4166, 3262, 547, 513, 1297, 540, 824, 3864, 2477, 543, 849, 547, 1715, 3840, 267, 543, 2968, 513, 24888, 547, 519, 30642, 626, 3350, 269, 24296, 584, 29418, 267, 519, 2012, 667, 3385, 1143, 568, 711, 2219, 547, 723, 1022, 2495, 269, 0, 763, 1353, 267, 3370, 538, 519, 4750, 540, 519, 1977, 5441, 540, 12594, 267, 1336, 602, 5171, 10443, 513, 476, 276, 298, 3670, 829, 1298, 5488, 1310, 4189, 513, 11335, 2732, 982, 1310, 4189, 513, 5375, 2732, 563, 763, 476, 276, 298, 2196, 568, 513, 1279, 26591, 4155, 4881, 6735, 936, 513, 3845, 540, 2947, 12919, 563, 12867, 689, 12142, 8402, 2160, 630, 20784, 308, 264, 538, 519, 2475, 1336, 1100, 3017, 1063, 519, 1079, 11326, 538, 2773, 538, 26103, 3635, 4255, 563, 3528, 6476, 267, 519, 5375, 2732, 568, 27537, 676, 1970, 6981, 540, 4829, 267, 5388, 543, 796, 10915, 1441, 610, 30194, 9268, 11041, 543, 1164, 703, 1389, 540, 1098, 543, 15459, 9600, 267, 10683, 267, 15568, 14836, 267, 15568, 543, 3810, 9268, 10448, 11041, 267, 9770, 543, 9268, 3536, 563, 763, 11335, 2732, 568, 1134, 28004, 607, 2348, 3875, 1072, 2640, 267, 1767, 11977, 1284, 1170, 267, 513, 7548, 693, 20793, 308, 563, 3891, 543, 1010, 2319, 24370, 2213, 602, 519, 2732, 781, 4550, 13611, 543, 15934, 2360, 267, 811, 22279, 9063, 543, 8192, 6491, 6233, 1522, 1291, 547, 4824, 3635, 2773, 563, 257, 6624, 1367, 5567, 538, 519, 11335, 2732, 2087, 3635, 2773, 5612, 610, 1369, 513, 1906, 2395, 269, 4475, 267, 621, 2306, 2631, 602, 513, 2898, 8192, 4806, 602, 2882, 891, 5567, 568, 849, 2656, 547, 2087, 2773, 2437, 1284, 1170, 1767, 563, 257, 4913, 267, 891, 2640, 941, 849, 3533, 4503, 950, 15175, 547, 519, 5375, 2732, 267, 10223, 519, 2956, 540, 1279, 3856, 15984, 547, 519, 11335, 2732, 2437, 646, 1767, 563, 763, 1353, 19801, 5722, 2021, 543, 2185, 2367, 538, 513, 4351, 2213, 268, 30084, 31832, 20108, 1353, 269, 634, 5171, 10443, 2947, 12919, 593, 513, 25500, 17524, 593, 1079, 14026, 4534, 2899, 1310, 2185, 2395, 593, 513, 11335, 2732, 543, 593, 1776, 8317, 1310, 2185, 2395, 593, 513, 5375, 2732, 267, 609, 513, 1974, 540, 8370, 547, 476, 1626, 2395, 19459, 519, 1079, 4255, 563, 2171, 1170, 3081, 519, 1353, 1336, 519, 476, 276, 298, 2196, 942, 729, 3670, 829, 1298, 5488, 1310, 519, 11335, 2732, 982, 519, 5375, 2732, 5103, 2147, 2295, 3928, 543, 16863, 540, 9228, 11851, 542, 563, 21893, 1353, 2488, 2963, 602, 513, 2732, 602, 568, 1634, 547, 581, 1434, 585, 1072, 568, 849, 1434, 585, 3635, 2773, 2437, 1284, 1170, 1767, 563, 257, 12024, 519, 2489, 2551, 267, 9845, 543, 824, 3635, 12439, 4122, 3548, 14432, 11326, 269, 3767, 789, 723, 606, 3606, 24539, 547, 3548, 2635, 267, 646, 1767, 269, 0, 24281, 20117, 5779, 4799, 9989, 333, 1405, 4010, 1205, 707, 6492, 19512, 782, 17991, 909, 267, 1281, 621, 888, 21953, 602, 781, 1018, 568, 1134, 25093, 538, 1896, 1646, 3785, 267, 2687, 547, 2487, 3377, 5359, 269, 1703, 616, 1100, 1973, 8043, 267, 13285, 610, 24561, 8031, 538, 538, 20117, 5779, 1152, 20258, 4887, 11103, 269, 19227, 267, 621, 781, 9247, 5779, 607, 649, 917, 621, 267, 543, 621, 781, 1044, 17941, 834, 534, 5393, 9621, 8192, 4244, 2437, 2687, 547, 513, 1164, 3491, 12803, 516, 572, 2117, 615, 538, 713, 1858, 563, 257, 24109, 753, 616, 7683, 9687, 998, 519, 1646, 540, 1007, 2029, 2437, 32157, 631, 1241, 990, 267, 1382, 7548, 543, 8689, 540, 519, 11628, 570, 22568, 12713, 325, 5419, 566, 4741, 693, 519, 6481, 2160, 540, 3162, 10491, 267, 5143, 15306, 21158, 13328, 2593, 267, 513, 3377, 3135, 7363, 13991, 547, 2984, 827, 1239, 2359, 267, 3301, 7835, 543, 824, 8668, 1382, 269, 834, 9303, 7595, 3466, 5693, 5815, 602, 519, 11318, 540, 2831, 568, 4742, 711, 1360, 11807, 585, 1480, 2486, 269, 898, 568, 5051, 2808, 3046, 8663, 545, 4799, 3528, 1381, 1005, 4887, 6565, 2281, 1210, 513, 2027, 267, 3662, 6954, 8770, 5420, 547, 3895, 2208, 267, 1010, 2978, 814, 1044, 2111, 547, 3196, 1346, 2281, 547, 16174, 883, 1018, 631, 1241, 990, 13042, 607, 834, 10818, 531, 267, 8076, 20258, 4887, 11103, 4799, 9303, 7595, 3466, 11735, 267, 568, 972, 2731, 1022, 20008, 5346, 3747, 585, 834, 1889, 520, 257, 3940, 14475, 538, 930, 1164, 24289, 8047, 286, 2986, 1576, 711, 267, 855, 621, 786, 14693, 581, 2139, 269, 3502, 1152, 568, 972, 519, 791, 28127, 540, 3621, 13287, 899, 10707, 547, 9370, 281, 952, 649, 666, 798, 621, 267, 649, 1058, 798, 621, 855, 1449, 2389, 4209, 5779, 1131, 630, 4150, 3022, 569, 264, 2232, 519, 1079, 7887, 9228, 2042, 609, 13184, 2504, 563, 3080, 568, 519, 2825, 1764, 269, 4340, 547, 519, 2079, 676, 3744, 689, 10228, 2160, 543, 24545, 2160, 267, 1141, 2147, 1646, 568, 25093, 267, 2978, 2275, 738, 3293, 5160, 8957, 15007, 958, 3812, 5779, 1131, 454, 268, 21277, 576, 8511, 9362, 693, 909, 547, 476, 9834, 260, 2539, 2157, 982, 9870, 3662, 454, 268, 18859, 1063, 476, 278, 260, 543, 476, 3393, 260, 1447, 1648, 454, 268, 16393, 581, 22041, 547, 946, 1152, 476, 272, 260, 540, 519, 2244, 543, 476, 275, 260, 540, 519, 1216, 2877, 585, 935, 14846, 5779, 454, 5591, 1239, 5526, 547, 581, 2139, 607, 547, 875, 5841, 267, 2978, 3766, 3497, 5779, 1223, 581, 3812, 676, 519, 9522, 609, 971, 4398, 267, 6862, 1022, 4030, 883, 1018, 26828, 1131, 581, 2838, 585, 602, 834, 338, 2133, 267, 3662, 6954, 8770, 5420, 257, 538, 799, 519, 538, 20117, 5779, 1131, 581, 31796, 563, 3719, 602, 3085, 1405, 3247, 930, 3744, 689, 22745, 3376, 338, 1938, 1996, 2413, 13184, 2504, 563, 10454, 2825, 5222, 540, 31796, 5779, 1223, 581, 15186, 2539, 982, 1346, 540, 5779, 3812, 538, 519, 6671 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3674, 621, 1279, 2250, 1813, 547, 9004, 610, 7494, 1225, 18571, 519, 1379, 540, 519, 5604, 540, 519, 5518, 540, 519, 2136, 2276, 286, 1772, 621, 942, 547, 9004, 971, 11999, 1379, 593, 513, 2582, 1367, 543, 18419, 519, 15445, 7936, 540, 2229, 888, 2691, 15284, 5548, 8457, 17619, 630, 293, 11403, 264, 5747, 538, 1010, 3791, 2165, 607, 5518, 267, 18322, 4956, 602, 2165, 7182, 585, 5518, 1058, 581, 3773, 547, 519, 772, 2529, 269, 9139, 269, 1358, 1223, 1294, 602, 972, 729, 513, 7872, 547, 1528, 513, 29610, 11860, 532, 585, 1272, 269, 2991, 782, 17619, 1705, 4383, 547, 7903, 4317, 8232, 998, 18322, 799, 1500, 1864, 1360, 2442, 1851, 519, 2197, 1813, 547, 519, 1287, 1699, 4965, 267, 1519, 1585, 960, 3292, 269, 634, 2829, 14593, 1394, 1996, 674, 11403, 779, 4507, 855, 941, 8572, 547, 3247, 1864, 563, 9213, 519, 1699, 5518, 814, 6170, 959, 650, 687, 540, 2104, 3454, 9489, 593, 519, 1857, 547, 1331, 267, 30940, 1967, 540, 29918, 15252, 2724, 543, 8959, 16904, 971, 607, 3752, 344, 526, 571, 269, 1773, 5217, 11999, 7963, 593, 2104, 5481, 547, 2628, 1394, 543, 519, 1592, 543, 3441, 4422, 593, 269, 1924, 267, 723, 649, 27636, 547, 519, 1448, 602, 513, 4901, 568, 11562, 5896, 827, 519, 1379, 513, 2582, 1367, 666, 723, 286, 2290, 1223, 8044, 602, 18322, 4682, 2059, 609, 519, 1699, 5518, 779, 18747, 269, 1809, 267, 593, 519, 1482, 18351, 519, 5518, 814, 9896, 9118, 30940, 796, 6247, 6627, 15445, 2107, 10249, 538, 19220, 540, 18322, 1308, 1843, 687, 563, 763, 17044, 6417, 5600, 568, 10416, 1379, 1652, 538, 16069, 519, 5518, 676, 10912, 585, 1955, 701, 16670, 1813, 547, 713, 5518, 779, 2250, 3527, 267, 1317, 519, 24339, 5597, 6417, 14130, 568, 1175, 607, 635, 14032, 607, 519, 5518, 269, 5457, 519, 3441, 519, 5518, 814, 2944, 547, 519, 4346, 630, 560, 858, 6042, 264, 609, 2816, 2530, 585, 5756, 547, 2097, 269, 3973, 972, 568, 519, 3465, 6342, 685, 1654, 1729, 1379, 936, 1312, 8075, 540, 6837, 267, 835, 2582, 1367, 936, 337, 4575, 513, 3444, 3296, 540, 6041, 540, 18322, 563, 4415, 519, 11999, 2450, 540, 938, 2551, 2221, 568, 972, 513, 10421, 585, 513, 5518, 630, 2750, 1815, 5737, 7936, 21663, 14348, 634, 5600, 543, 14130, 581, 1732, 9280, 267, 6719, 543, 6190, 547, 4383, 519, 2197, 676, 13359, 585, 6069, 645, 1571, 607, 789, 7363, 798, 888, 4692, 649, 21991, 1393, 513, 2112, 1510, 513, 2155, 6387, 543, 12751, 282, 18322, 1590, 17551, 2112, 543, 1223, 4383, 621, 609, 513, 8470, 269, 2052, 972, 581, 16410, 6839, 7158, 609, 18322, 1308, 23388, 267, 513, 14199, 540, 3557, 609, 19264, 26513, 17620, 2059, 609, 606, 30374, 4937, 286, 6837, 1654, 1206, 9930, 710, 525, 543, 1223, 3595, 1346, 602, 616, 13546, 696, 610, 856, 6361, 20820, 563, 9213, 267, 519, 15445, 7936, 540, 519, 2229, 8075, 513, 2582, 1367, 6117, 519, 2197, 883, 3765, 2044, 543, 2620, 7963, 2059, 609, 513, 1699, 635, 14032, 3368, 540, 519, 22694, 1155, 282, 519, 14130, 269, 2201, 519, 2627, 267, 621, 1131, 2408, 9266, 547, 723, 513, 4901, 593, 14874, 1614, 8371, 540, 938, 2229, 547, 1175, 1079, 8371, 563, 763, 6837, 814, 7839, 6041, 1247, 519, 5518, 2501, 689, 513, 2582, 1533, 540, 519, 2197, 269, 14348, 649, 581, 1732, 6039, 607, 513, 4182, 540, 3309, 1004, 1510, 513, 2582, 1367, 16706, 865, 1454, 1379, 286, 0, 763, 2663, 1884, 1172, 12579, 540, 6576, 543, 5125, 2408, 547, 6864, 625, 576, 538, 519, 6392, 540, 519, 31494, 29321, 528, 267, 519, 9998, 606, 2522, 626, 540, 6576, 267, 945, 24283, 519, 28592, 267, 610, 966, 732, 13196, 267, 689, 22778, 807, 269, 634, 4408, 540, 519, 1101, 27428, 540, 519, 6739, 21257, 616, 32090, 610, 22374, 269, 4256, 1893, 630, 3147, 1800, 547, 4790, 269, 623, 6973, 344, 5766, 269, 632, 8556, 7806, 269, 14087, 269, 524, 269, 476, 280, 264, 28209, 9247, 689, 519, 590, 743, 822, 20897, 269, 634, 2278, 540, 519, 7788, 1023, 540, 853, 269, 26450, 514, 267, 945, 1101, 4408, 519, 28592, 630, 305, 327, 657, 264, 538, 519, 1032, 476, 279, 4375, 540, 1010, 7788, 1023, 267, 3651, 338, 873, 13785, 585, 741, 2197, 269, 1924, 9149, 583, 335, 8681, 7125, 519, 28592, 519, 1482, 1004, 607, 519, 11870, 753, 269, 634, 674, 1231, 267, 5487, 680, 32752, 267, 543, 6480, 327, 517, 2103, 267, 1289, 519, 9527, 525, 267, 547, 519, 1459, 1554, 267, 24306, 267, 24306, 328, 267, 22859, 582, 17844, 267, 24306, 5055, 826, 269, 6423, 774, 684, 2006, 267, 1133, 1562, 1276, 684, 2102, 579, 828, 3541, 717, 525, 577, 747, 974, 964, 6480, 997, 1156, 16402, 11985, 4593, 1156, 5292, 12027, 267, 533, 269, 476, 4391, 275, 269, 717, 3430, 19907, 267, 2155, 269, 5081, 564, 269, 3204, 321, 2615, 269, 20944, 1154, 269, 1535, 13839, 269, 533, 269, 476, 14695, 269, 5576, 5979, 10045, 267, 538, 1010, 29321, 528, 269, 918, 5255, 269, 4860, 565, 583, 269, 632, 1412, 292, 2202, 267, 2019, 269, 1775, 269, 533, 269, 476, 2568, 269, 5689, 974, 5174, 14725, 267, 2983, 1748, 269, 2019, 269, 19274, 269, 533, 269, 476, 274, 4281, 269, 0, 7212, 596, 666, 1405, 6089, 12890, 707, 4816, 267, 546, 6758, 1058, 1451, 811, 827, 20418, 865, 602, 596, 666, 581, 11215, 540, 707, 1126, 781, 20418, 3158, 563, 17954, 770, 22447, 1772, 7454, 585, 2659, 17926, 454, 17954, 770, 5144, 568, 519, 3501, 1426, 585, 707, 4816, 269, 898, 568, 519, 1152, 1426, 707, 4816, 2115, 1282, 1200, 1101, 3670, 3275, 269, 589, 4816, 568, 711, 4712, 585, 824, 3536, 267, 4849, 4542, 267, 1282, 519, 1101, 1906, 3275, 540, 1272, 563, 288, 6089, 325, 539, 4816, 2356, 3085, 1405, 991, 1216, 269, 1717, 267, 596, 949, 2285, 1200, 1216, 952, 519, 4365, 568, 3905, 543, 707, 1753, 568, 711, 2011, 8410, 1288, 539, 269, 5213, 1405, 1039, 4006, 610, 9932, 547, 519, 1216, 269, 5213, 1405, 2285, 7657, 1819, 10425, 610, 14614, 1402, 547, 707, 4816, 269, 5213, 1405, 2285, 4829, 10433, 547, 513, 20169, 4816, 563, 17954, 770, 5144, 568, 1655, 585, 707, 4816, 781, 1072, 269, 23213, 325, 539, 9002, 1810, 1405, 1205, 7210, 607, 1419, 267, 543, 789, 2356, 1810, 1405, 723, 607, 1082, 11959, 269, 1358, 949, 1256, 581, 21273, 256, 4746, 267, 20418, 4667, 547, 2149, 11299, 689, 1978, 2010, 540, 1072, 2042, 563, 300, 1278, 338, 1419, 1265, 602, 6089, 5144, 568, 519, 15864, 1259, 547, 3049, 741, 9002, 269, 4746, 267, 972, 568, 1100, 1942, 563, 2791, 1810, 1405, 723, 547, 11547, 543, 10322, 559, 1125, 14569, 543, 562, 31454, 950, 596, 6089, 12890, 269, 901, 3762, 811, 942, 585, 824, 1919, 269, 23213, 16567, 707, 4816, 666, 1256, 948, 596, 6336, 930, 540, 519, 2597, 596, 6591, 950, 596, 941, 9176, 269, 23213, 16567, 666, 581, 513, 24886, 1995, 585, 4816, 543, 3158, 563, 17954, 770, 16567, 1772, 7849, 454, 289, 28320, 991, 547, 3548, 1419, 910, 1169, 476, 3445, 3764, 547, 1079, 3108, 269, 16376, 707, 4816, 950, 1352, 5956, 547, 1397, 4191, 540, 14000, 267, 971, 607, 3597, 532, 610, 647, 9535, 593, 1200, 17534, 267, 11263, 610, 31329, 269, 8347, 547, 3049, 1200, 1354, 1352, 1835, 625, 269, 30839, 707, 4816, 1419, 4465, 1405, 27253, 1200, 269, 898, 786, 948, 596, 1451, 547, 1831, 811, 3222, 540, 707, 4816, 781, 2115, 563, 10673, 1405, 3970, 8023, 2053, 269, 9040, 625, 991, 1114, 5666, 540, 1426, 693, 1114, 2053, 540, 519, 1554, 267, 1175, 607, 6738, 1004, 798, 563, 9824, 1314, 256, 6875, 707, 942, 269, 634, 811, 596, 12016, 707, 4816, 267, 519, 811, 5144, 596, 786, 723, 269, 1684, 711, 2285, 707, 4816, 4542, 610, 1216, 269, 1403, 596, 798, 267, 596, 786, 1118, 1447, 5144, 269, 1403, 596, 1589, 596, 798, 711, 723, 2614, 5144, 267, 12016, 811, 1419, 543, 12016, 3476, 563, 2414, 1451, 811, 827, 20418, 267, 596, 949, 1616, 547, 3346, 707, 2199, 1072, 8257, 267, 654, 2975, 16758, 267, 6413, 267, 5487, 700, 1815, 515, 21597, 610, 4387, 269, 1411, 666, 1289, 5487, 700, 1815, 515, 21597, 693, 476, 272, 268, 8517, 6441, 3201, 4488, 4047, 267, 610, 3643, 741, 5680, 3135, 693, 8940, 7456, 1446, 3832, 548, 6558, 3820, 563, 17954, 770, 16567, 568, 2067, 267, 855, 621, 3217, 513, 2370, 942, 585, 9002, 543, 11299, 547, 1451, 1018, 1568, 1655, 585, 873, 269, 1411, 949, 723, 15319, 562, 31454, 950, 596, 1101, 1376, 20418, 269, 634, 1928, 666, 581, 4389, 952, 707, 4816, 568, 4371, 5265, 950, 7923, 547, 519, 6089, 563, 2080, 616, 930, 3730, 4388, 912, 268, 15579, 707, 4816, 781, 6084, 3240, 547, 707, 6084, 3240, 267, 4816, 781, 24060, 547, 707, 6089, 269, 1411, 666, 798, 713, 9361, 610, 14084, 1524, 269, 15579, 707, 6089, 538, 513, 834, 290, 3620, 1245, 2437, 609, 707, 14853, 593, 1283, 543, 11263, 18284, 269, 32402, 548, 707, 4816, 781, 17534, 609, 707, 562, 21451, 2394, 1200, 5023, 10741, 2647, 269, 16797, 569, 3142, 1200, 5196, 519, 6089, 269, 14190, 519, 9133, 540, 707, 4816, 781, 9224, 543, 24060, 547, 5905, 519, 6089, 563, 268, 5269, 2386, 707, 4816, 781, 5023, 6227, 707, 3003, 562, 21451, 543, 1454, 540, 519, 18632, 851, 1472, 519, 562, 21451, 269, 2659, 4816, 781, 5580, 543, 2539, 17534, 1058, 581, 18202, 856, 269, 1403, 519, 17534, 616, 711, 18202, 856, 267, 2736, 519, 32137, 676, 1793, 6235, 707, 9416, 1063, 519, 4816, 781, 14779, 543, 707, 6089, 269, 3973, 561, 2255, 519, 4816, 593, 1586, 563, 268, 20644, 707, 4816, 1312, 28244, 693, 1142, 8023, 269, 2659, 4816, 786, 2995, 596, 950, 1352, 568, 8737, 676, 834, 6420, 532, 1055, 257, 519, 6089, 563, 268, 2991, 8023, 267, 6299, 513, 1906, 12772, 540, 6089, 5144, 5196, 707, 562, 31454, 269, 2913, 873, 2011, 3819, 269, 3973, 3382, 519, 562, 21451, 609, 8808, 21181, 267, 513, 2909, 610, 7802, 269, 901, 786, 948, 1832, 873, 689, 3478, 1932, 3819, 563, 7312, 562, 31454, 949, 581, 13035, 538, 519, 1101, 1906, 2395, 540, 20418, 269, 901, 568, 1455, 269, 1635, 543, 1804, 267, 31926, 4422, 2476, 2899, 519, 5144, 5956, 547, 2095, 269, 1403, 596, 723, 513, 2603, 540, 1928, 267, 1289, 513, 20418, 24468, 610, 707, 4387, 269, 2659, 4387, 610, 24468, 666, 849, 948, 952, 596, 723, 29618, 610, 11702, 562, 31454, 269, 1403, 621, 3085, 1405, 1745, 1318, 267, 1287, 621, 4440, 3884, 1405, 1318, 563, 2252, 596, 616, 856, 609, 707, 4816, 267, 596, 666, 1869, 6089, 12890, 269, 1411, 949, 1616, 547, 1491, 2059, 513, 8391, 24120, 610, 695, 1177, 331, 609, 799, 547, 3382, 909, 563, 2252, 596, 723, 547, 581, 2476, 689, 707, 4816, 267, 596, 666, 1869, 2285, 1200, 6089, 5144, 269, 1411, 666, 11198, 610, 834, 10339, 816, 257, 6089, 5144, 676, 1688, 610, 609, 513, 6089, 6802, 883, 513, 25062, 8708, 269, 3973, 2576, 3116, 666, 2285, 621, 547, 1200, 538, 513, 11480, 563, 2005, 568, 1271, 585, 596, 547, 723, 7850, 267, 1164, 7779, 6484, 543, 4235, 2614, 1216, 269, 1411, 1058, 2057, 5061, 1247, 20418, 8259, 519, 4387, 4481, 6645, 596, 547, 1491, 513, 1978, 6646, 1256, 1498, 596, 616, 20418, 563, 2005, 568, 8966, 585, 513, 4816, 547, 649, 534, 7357, 593, 1010, 1378, 1282, 519, 1101, 1032, 269, 1809, 621, 781, 711, 8966, 585, 513, 4816, 547, 1491, 17573, 8808, 9397, 269, 901, 568, 1114, 689, 649, 22135, 269, 7849, 649, 22135, 4523, 936, 1896, 4374, 610, 3275, 269, 589, 8808, 2736, 568, 2356, 23589, 269, 5637, 596, 543, 519, 4816, 786, 581, 29043, 950, 971, 513, 2736, 4523, 269, 8347, 547, 3605, 1946, 707, 4816, 568, 29043, 8808, 563, 268, 3657, 596, 9849, 513, 1007, 13526, 2541, 888, 268, 3657, 596, 1210, 513, 1007, 12853, 888, 268, 3657, 596, 14129, 827, 960, 888, 268, 5620, 596, 3323, 14108, 908, 1586, 888, 268, 3657, 596, 4189, 513, 1007, 267, 25970, 1426, 888, 268, 5620, 596, 3323, 547, 8673, 888, 5278, 540, 891, 4125, 30851, 602, 666, 25657, 707, 4816, 269, 1358, 949, 1118, 707, 5144, 6492, 1114, 543, 796, 1952, 324, 2718, 269, 6884, 513, 7210, 610, 751, 1891, 4816, 31439, 547, 6089, 12890, 269, 1879, 707, 4816, 7959, 3765, 30514, 267, 711, 1256, 8808, 3217, 519, 10413, 2476, 563, 2467, 616, 1919, 596, 666, 798 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 519, 2203, 563, 6944, 28948, 268, 4706, 3119, 4305, 568, 547, 4383, 782, 519, 11378, 689, 3755, 269, 901, 3301, 3009, 20362, 782, 519, 2792, 1063, 7844, 543, 7348, 543, 8060, 1239, 13576, 883, 519, 7844, 1843, 543, 10311, 519, 7348, 538, 2013, 540, 1022, 1239, 1689, 563, 268, 15339, 585, 2622, 22453, 5680, 3156, 538, 2101, 5752, 4654, 563, 268, 5680, 10850, 971, 607, 30622, 24546, 543, 681, 5661, 563, 310, 571, 6137, 898, 5455, 2336, 3383, 267, 713, 729, 3388, 1271, 543, 1713, 827, 3301, 6189, 269, 1284, 616, 2386, 602, 519, 1344, 5280, 596, 1174, 519, 1523, 1732, 543, 786, 581, 3730, 585, 1818, 606, 5483, 3375, 1247, 5275, 3301, 1587, 1646, 3028, 563, 2252, 596, 616, 3168, 585, 6325, 543, 11967, 8668, 17874, 2533, 585, 707, 1870, 3301, 610, 3498, 267, 1287, 1964, 707, 3406, 1934, 693, 589, 274, 8421, 923, 269, 1284, 616, 513, 2319, 540, 4810, 543, 3318, 9367, 543, 9858, 2324, 6612, 2299, 547, 5838, 3811, 3785, 269, 4045, 609, 721, 585, 811, 3877, 827, 3301, 3435, 543, 649, 786, 948, 596, 538, 519, 1655, 2009, 1259, 563, 16665, 18248, 24762, 454, 5978, 1603, 562, 514, 329, 553, 616, 5356, 741, 1995, 543, 1702, 547, 938, 3755, 998, 741, 5767, 21075, 609, 909, 3562, 7308, 18826, 3466, 2336, 7476, 519, 5767, 10311, 267, 4388, 543, 2027, 3091, 2786, 547, 707, 28600, 563, 268, 32285, 5516, 2920, 454, 268, 15692, 2561, 4886, 454, 268, 14464, 11106, 454, 268, 589, 16703, 10029, 1299, 4886, 454, 268, 589, 16703, 13192, 454, 268, 589, 16703, 1646, 2533, 454, 268, 5484, 24674, 8556, 15249, 454, 268, 8262, 4578, 454, 268, 30292, 1646, 454, 268, 13192, 17270, 454, 268, 20260, 16065, 532, 454, 268, 595, 3863, 1782, 1299, 9012, 24630, 454, 268, 10911, 300, 3301, 1646, 454, 268, 10911, 300, 10298, 454, 268, 6131, 3301, 1646, 2319, 454, 268, 8061, 302, 1186, 7896, 454, 268, 7913, 26306, 454, 268, 28155, 5004, 454, 268, 30622, 24546, 4886, 454, 268, 661, 6441, 792, 940, 2561, 4886, 454, 268, 11581, 296, 6796, 3038, 3187, 454, 268, 552, 13981, 3301, 1646, 454, 268, 31287, 11588, 454, 268, 27617, 22994, 1006, 454, 268, 27617, 12229, 4886, 454, 268, 27617, 10298, 454, 268, 27617, 10298, 454, 268, 16195, 11581, 296, 454, 268, 16195, 3301, 1646, 454, 268, 5274, 12754, 454, 268, 12752, 16869, 1047, 454, 268, 14164, 3435, 454, 268, 8668, 31173, 454, 268, 8668, 8827, 454, 268, 8668, 16065, 532, 454, 268, 700, 5960, 4886, 454, 268, 8298, 2524, 5004, 454, 268, 7395, 550, 334, 4886, 454, 268, 544, 4467, 12692, 2561, 4886, 454, 268, 9786, 10298, 454, 268, 631, 14048, 10298, 454, 268, 16353, 2561, 3763, 518, 454, 268, 16353, 2561, 4886, 454, 268, 5240, 1299, 15638, 454, 268, 2201, 3747, 5985, 813, 1646, 454, 268, 14956, 839, 1830, 10298, 454, 268, 18736, 2359, 454, 268, 5295, 19739, 454, 268, 8605, 7177, 454, 268, 1627, 288, 3301, 4152, 2533, 454, 268, 10866, 2667, 4269, 1299, 13281, 454, 268, 1234, 716, 7111, 2561, 4886, 454, 268, 7464, 24529, 454, 268, 10685, 2359, 3301, 454, 268, 25007, 593, 681, 5661, 4886, 454, 268, 590, 30962, 4886, 454, 268, 19833, 4403, 10298, 454, 268, 13329, 2939, 5811, 454, 268, 9523, 4812, 4886, 454, 268, 11288, 17825, 3301, 454, 268, 19255, 1518, 4886, 454, 268, 12229, 4886, 454, 268, 12229, 10298, 454, 268, 15306, 11370, 3960, 454, 268, 570, 3637, 16065, 532, 454, 268, 579, 328, 579, 343, 1646, 454, 268, 23203, 762, 2561, 4886, 454, 268, 5680, 4886, 454, 268, 6206, 17972, 1677, 6733, 1280, 769, 1323, 700, 5960, 1677, 30205, 2659, 21614, 296, 4002, 2904, 476, 2190, 267, 476, 1708, 273, 454, 268, 12085, 547, 5901, 538, 9650, 1247, 29922, 700, 5960, 585, 11038, 30543, 4002, 2904, 476, 1556, 267, 476, 1708, 273, 454, 268, 4804, 5004, 3590, 585, 6355, 281, 1548, 267, 4208, 267, 1656, 1215, 286, 4002, 2904, 476, 4962, 267, 476, 1708, 273, 454, 268, 634, 10558, 543, 8892, 540, 8899, 2275, 1712, 2561, 4886, 4002, 2904, 476, 6860, 267, 476, 1708, 273, 454, 268, 1215, 547, 5269, 11426, 700, 5960, 585, 7822, 4565, 785, 22419, 4002, 2904, 476, 6349, 267, 476, 1708, 273, 454, 2171, 616, 3168, 585, 13730, 2872, 4966, 547, 3565, 2219, 5718, 21075, 2237, 585, 2974, 0, 2691, 596, 2461, 4730, 513, 3014, 540, 6367, 1782, 267, 519, 11768, 540, 519, 6367, 1782, 20382, 568, 1271, 563, 2791, 1616, 547, 1118, 2386, 602, 596, 917, 875, 547, 5734, 1142, 6367, 1782, 8930, 865, 602, 596, 666, 6060, 607, 1082, 2798, 607, 2009, 563, 289, 578, 1782, 20382, 616, 13387, 547, 1978, 7516, 267, 607, 1134, 607, 519, 6367, 1782, 26738, 563, 4322, 8930, 11768, 7516, 1397, 519, 16551, 540, 519, 1585, 8930, 29282, 1031, 538, 6367, 1782, 6735, 563, 8923, 4063, 602, 782, 7403, 616, 538, 6279, 610, 3952, 563, 17843, 18963, 540, 7756, 14332, 1782, 10632, 454, 2005, 568, 1152, 9266, 602, 1114, 6367, 1782, 3756, 723, 6367, 1782, 20382, 22274, 2687, 547, 1114, 13387, 3652, 563, 307, 523, 8930, 6367, 1782, 267, 2947, 8930, 6367, 1782, 267, 23156, 11017, 267, 21868, 11017, 543, 8370, 8930, 6367, 1782, 3096, 1114, 5666, 540, 11105, 20382, 693, 519, 6367, 1782, 620, 2917, 267, 865, 6367, 1782, 20382, 22274, 693, 1114, 9883, 616, 1100, 9983, 563, 1607, 2376, 6257, 6367, 1782, 19437, 7516, 607, 2484, 607, 4557, 8930, 6367, 1782, 568, 2808, 267, 543, 1305, 8521, 676, 519, 2136, 2276, 14332, 1782, 6837, 563, 288, 14332, 1782, 18237, 681, 871, 454, 288, 6367, 1782, 8930, 24646, 568, 1500, 909, 540, 476, 1015, 6367, 1782, 20382, 7555, 593, 519, 1439, 540, 519, 6367, 1782, 26738, 563, 763, 6367, 1782, 20382, 1796, 538, 513, 6906, 5250, 609, 3160, 5011, 563, 288, 6367, 1782, 8930, 24646, 568, 1419, 1572, 513, 8930, 16064, 267, 855, 519, 8930, 16064, 568, 2864, 519, 1858, 1141, 519, 6367, 1782, 20382, 616, 1305, 267, 1247, 519, 5449, 616, 519, 20382, 2933, 563, 763, 7089, 532, 540, 623, 1231, 593, 519, 14332, 1782, 28818, 454, 2467, 616, 476, 1015, 20382, 538, 513, 8930, 1305, 267, 543, 1142, 835, 814, 513, 2189, 1297, 689, 476, 272, 630, 10193, 1634, 607, 519, 2212, 8930, 264, 998, 476, 1015, 563, 289, 578, 1782, 18237, 5590, 1575, 593, 519, 18237, 1546, 1188, 454, 763, 6367, 1782, 20382, 616, 1305, 538, 2185, 9343, 267, 609, 1297, 476, 272, 693, 519, 2212, 11017, 630, 743, 657, 652, 547, 519, 6367, 2401, 1070, 476, 273, 543, 476, 274, 538, 519, 2034, 4737, 689, 2451, 547, 1318, 267, 476, 275, 267, 276, 543, 476, 277, 538, 519, 3791, 4737, 689, 2451, 547, 1318, 267, 543, 476, 278, 267, 476, 279, 267, 476, 280, 543, 476, 1015, 538, 519, 8772, 610, 1394, 4737, 689, 2451, 547, 1318, 630, 325, 584, 1492, 560, 689, 519, 6367, 2401, 1916, 1607, 2306, 621, 2653, 547, 2995, 799, 20382, 596, 6569, 1310, 707, 1101, 3440, 267, 543, 621, 849, 11226, 538, 519, 8446, 540, 10943, 1080, 563, 303, 514, 5590, 614, 26682, 454, 303, 514, 1305, 614, 6191, 267, 849, 1634, 607, 8930, 16064, 6191, 610, 6367, 1782, 3440, 2132, 6191, 267, 616, 3457, 602, 8850, 1305, 519, 6367, 1782, 20382, 538, 519, 31164, 6906, 5250, 1394, 909, 1310, 596, 12826, 543, 22545, 1524, 519, 20382, 563, 289, 578, 1782, 10246, 903, 2356, 723, 891, 6191, 693, 519, 7475, 540, 519, 26738, 19951, 563, 8505, 11703, 8930, 1305, 614, 6191, 2968, 2442, 1310, 519, 476, 4198, 271, 338, 267, 2394, 602, 20382, 21392, 8695, 941, 21534, 547, 19268, 519, 20382, 883, 741, 3312, 7158, 693, 519, 1439, 540, 1142, 6367, 1782, 26738, 563, 4415, 519, 948, 540, 891, 8930, 1305, 614, 6191, 267, 596, 1810, 1406, 723, 547, 5855, 827, 6367, 1782, 8930, 19437, 610, 26738, 7516, 267, 2094, 20382, 786, 581, 8120, 547, 519, 3169, 1482, 5544, 538, 519, 6906, 563, 1432, 568, 519, 1975, 5217, 9737, 14332, 1782, 623, 1231, 888, 763, 1739, 9883, 616, 6027, 689, 519, 4099, 540, 1142, 8930, 563, 763, 11105, 20382, 685, 8880, 3845, 568, 476, 1321, 6279, 1063, 15231, 20382, 563, 17445, 26432, 1325, 9892, 454, 763, 3845, 1063, 519, 476, 273, 268, 279, 267, 476, 274, 268, 280, 267, 543, 476, 272, 268, 276, 8930, 12972, 568, 476, 736, 269, 4037, 6279, 1063, 891, 20382, 563, 303, 514, 1546, 1188, 32309, 700, 9975, 454, 763, 2698, 3259, 540, 1142, 2427, 610, 6316, 540, 519, 31164, 6906, 5250, 568, 476, 3607, 6279, 563, 291, 2700, 689, 519, 674, 9567, 7412, 454, 763, 2212, 8930, 779, 3845, 689, 519, 28067, 1899, 568, 476, 2568, 3952, 610, 476, 24798, 6279, 563, 291, 2700, 689, 519, 28066, 1562, 454, 763, 3845, 610, 8700, 689, 519, 2451, 543, 519, 1318, 8937, 614, 593, 1142, 2427, 689, 519, 6906, 538, 519, 1394, 4737, 568, 476, 273, 269, 276, 6279, 563, 3963, 616, 14332, 1782, 623, 1231, 5590, 5455, 538, 513, 21121, 888, 289, 578, 1782, 20382, 616, 1305, 538, 606, 31164, 6906, 267, 543, 538, 2185, 9343, 865, 602, 952, 513, 6367, 2401, 16716, 693, 519, 2212, 8930, 267, 799, 568, 519, 835, 693, 519, 1360, 4395, 267, 621, 786, 2014, 782, 610, 1034, 540, 519, 20382, 547, 2887, 563, 289, 578, 1782, 20382, 616, 849, 1305, 538, 713, 5250, 1317, 621, 568, 2653, 585, 1004, 547, 1294, 875, 1082, 20382, 789, 723, 5679, 18088, 1524, 1310, 741, 1101, 3440, 563, 5141, 3151, 32438, 6168, 14210, 18237, 14332, 1782, 18237, 1975, 5217, 454, 2005, 568, 1271, 547, 581, 3222, 540, 519, 1114, 7516, 543, 29282, 540, 6367, 1782, 20382, 563, 763, 11768, 540, 519, 6367, 1782, 20382, 11887, 875, 2352, 519, 3014, 786, 581, 543, 666, 1860, 707, 6060, 563, 5978, 3391, 593, 6367, 1782, 8930, 11768, 7516, 2488, 782, 519, 1344, 596, 991, 269, 0, 20809, 476, 273, 267, 476, 1708, 271, 454, 3528, 8496, 665, 595, 1515, 985, 454, 763, 13653, 540, 519, 5576, 14535, 560, 3430, 2146, 267, 2605, 8277, 325, 13573, 523, 747, 267, 7722, 538, 6354, 11494, 543, 29880, 7180, 1282, 1010, 942, 3056, 519, 1895, 267, 2687, 547, 513, 4436, 14787, 269, 634, 31482, 1996, 13573, 523, 747, 267, 20114, 1369, 519, 28912, 21517, 267, 1331, 4638, 6057, 563, 20694, 18588, 13153, 1855, 4428, 523, 22138, 267, 513, 31188, 1014, 543, 5939, 14787, 2713, 538, 5125, 267, 814, 10645, 602, 5063, 8118, 6810, 540, 519, 28912, 21517, 1331, 6054, 602, 9446, 2605, 13573, 523, 747, 607, 705, 6748, 1010, 1379, 1369, 519, 2146, 646, 8547, 269, 4340, 547, 13153, 1855, 4428, 523, 22138, 267, 1310, 5359, 540, 6057, 1369, 519, 2146, 941, 4607, 676, 519, 28912, 538, 519, 2038, 476, 4198, 271, 338, 267, 606, 4013, 1471, 2787, 1671, 4240, 269, 1306, 513, 12343, 267, 13573, 523, 747, 729, 608, 6150, 547, 519, 2136, 2276, 585, 5176, 476, 1428, 1296, 267, 1152, 13059, 547, 5125, 538, 476, 3422, 276, 267, 1614, 1296, 1354, 1010, 2669, 563, 9616, 281, 901, 568, 606, 18816, 3004, 14982, 21626, 269, 8437, 519, 2140, 547, 2070, 519, 2407, 1257, 540, 519, 3312, 2376, 269, 1403, 519, 3312, 2376, 568, 1100, 3476, 2139, 267, 1294, 938, 5240, 25201, 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 ]
[ 8275, 922, 6859, 563, 321, 5350, 1544, 4214, 454, 13678, 921, 1870, 1544, 1383, 454, 321, 5350, 1544, 1900, 676, 1900, 0, 2304, 476, 3199, 4458, 6040, 27404, 518, 729, 26151, 547, 2669, 538, 513, 3595, 602, 10032, 1010, 1753, 1282, 519, 2038, 3108, 540, 19108, 563, 2791, 616, 1934, 454, 5425, 11675, 666, 948, 609, 29159, 454, 288, 2197, 779, 1480, 1646, 4994, 568, 1175, 607, 1271, 607, 2804, 10832, 899, 14407, 6469, 1587, 630, 294, 7894, 1070, 2687, 547, 6424, 667, 592, 531, 268, 19669, 3118, 267, 16628, 540, 519, 14880, 700, 758, 10793, 6820, 3427, 540, 6355, 630, 3201, 297, 14899, 289, 1916, 2108, 290, 2753, 2486, 3906, 630, 5425, 11675, 264, 723, 513, 1713, 1764, 593, 938, 2486, 269, 594, 3494, 741, 1909, 568, 1631, 568, 811, 1271, 982, 2479, 1354, 269, 1284, 616, 26164, 513, 12159, 540, 938, 1514, 5958, 563, 14881, 723, 1044, 3238, 609, 30264, 5085, 630, 28062, 566, 585, 519, 28389, 618, 543, 2037, 5341, 618, 540, 5020, 264, 585, 476, 736, 1296, 543, 936, 602, 942, 594, 723, 2938, 875, 1919, 723, 20335, 8338, 269, 3509, 2053, 267, 649, 3717, 827, 938, 12654, 543, 875, 621, 2799, 855, 950, 596, 1413, 693, 519, 1514, 5958, 543, 519, 1480, 1646, 2115, 540, 519, 2197, 267, 649, 616, 2965, 7487, 3152, 2591, 2223, 646, 1767, 693, 519, 10131, 540, 513, 570, 261, 307, 6406, 5980, 9257, 6355, 22544, 693, 9338, 297, 14899, 289, 538, 24398, 16593, 563, 291, 592, 531, 268, 19669, 3118, 1767, 519, 1788, 267, 799, 568, 1373, 14102, 676, 519, 3864, 5742, 630, 31323, 1070, 568, 2565, 585, 519, 2104, 1646, 540, 519, 2197, 563, 17606, 568, 1360, 1271, 585, 721, 547, 2087, 938, 2553, 267, 547, 1413, 693, 12250, 14304, 267, 547, 2327, 602, 547, 972, 568, 2500, 7589, 538, 3375, 1818, 607, 3084, 543, 2199, 4507, 9305, 547, 1870, 543, 519, 4346, 2223, 646, 1767, 563, 31323, 19264, 26513, 547, 570, 261, 307, 3657, 526, 645, 625, 324, 15842, 2131, 1767, 11483, 11675, 616, 1271, 538, 1022, 2486, 607, 789, 1404, 513, 2565, 1909, 538, 513, 2197, 779, 12602, 563, 2108, 5445, 3180, 6608, 547, 2272, 950, 1919, 616, 711, 3001, 538, 519, 1318, 4287, 267, 1711, 4656, 543, 1711, 7214, 6735, 2223, 646, 1767, 454, 289, 625, 324, 15842, 2131, 1767, 519, 1788, 666, 948, 609, 2804, 29159, 2676, 2467, 814, 1044, 2911, 827, 5647, 543, 29159, 543, 1141, 519, 2197, 2115, 547, 979, 538, 1931, 547, 1831, 1447, 8200, 593, 519, 3282, 543, 3154, 5823, 269, 898, 568, 1271, 602, 519, 1870, 3906, 543, 2146, 1589, 2059, 609, 519, 6554, 875, 2486, 1058, 1847, 4464, 2223, 646, 1767, 563, 7336, 8724, 875, 7616, 2337, 11483, 11675, 543, 3084, 1646, 267, 646, 3773, 281, 2048, 1607, 1880, 1788, 568, 5497, 547, 1489, 3540, 2486, 7341, 538, 519, 1870, 5823, 609, 519, 2832, 540, 9591, 513, 3609, 563, 28317, 4579, 729, 13752, 547, 713, 931, 24832, 540, 3540, 2486, 3906, 2519, 593, 519, 4070, 540, 513, 1732, 1870, 1604, 269, 901, 568, 519, 7521, 519, 6554, 568, 2348, 267, 875, 547, 4129, 1518, 519, 4346, 543, 875, 666, 5647, 3565, 547, 713, 1184, 3034, 27165, 8292, 11540, 593, 713, 3896, 616, 519, 6852, 5784, 543, 8369, 540, 519, 6085, 5856, 543, 616, 711, 11347, 540, 26851, 9012, 17290, 610, 922, 5234, 563, 10817, 731, 1014, 9012, 17290, 24693, 1100, 15668, 543, 786, 711, 581, 4371, 18177, 585, 3593, 8292, 563, 10817, 731, 1014, 9012, 17290, 14425, 519, 1318, 547, 4894, 267, 547, 12575, 610, 547, 524, 16428, 1022, 8292, 563, 12179, 1543, 799, 568, 2808, 5667, 340, 3386, 267, 796, 32016, 610, 18086, 267, 2882, 2123, 3877, 267, 6994, 2478, 610, 8992, 2472, 267, 2533, 610, 7270, 610, 28197, 3105, 8292, 786, 581, 6569, 563, 27165, 12632, 10805, 998, 16995, 1514, 2923, 6589, 949, 581, 25216, 1510, 5469, 269, 0, 3383, 777, 7723, 630, 14588, 6033, 267, 8317, 267, 5304, 1053, 991, 547, 2015, 519, 3483, 540, 519, 1257, 538, 1931, 547, 1020, 2016, 1657, 1765, 2181, 1027, 525, 519, 10388, 1557, 269, 1548, 1281, 621, 1611, 950, 789, 2307, 596, 1018, 568, 707, 5304, 585, 713, 1365, 517, 576, 610, 1412, 6343, 568, 707, 3483, 2356, 950, 2328, 606, 1557, 972, 781, 2141, 2055, 827, 707, 3483, 543, 5304, 269, 570, 821, 543, 5304, 4656, 4188, 707, 3159, 543, 7654, 519, 1826, 540, 1344, 596, 1683, 1759, 593, 519, 1826, 540, 5304, 596, 2503, 547, 1224, 707, 1557, 269, 5620, 547, 2328, 1614, 3594, 723, 547, 1376, 4974, 585, 606, 3284, 2313, 1449, 723, 547, 1376, 2257, 4023, 782, 1775, 1616, 547, 798, 568, 1644, 2022, 540, 3483, 543, 5304, 540, 1557, 269, 5272, 942, 596, 2328, 596, 616, 1603, 585, 606, 5304, 543, 609, 513, 3483, 2899, 596, 7340, 707, 5304, 543, 707, 3483, 267, 707, 1603, 568, 798, 15701, 269, 901, 1557, 3091, 7778, 547, 30652, 332, 3716, 29593, 342, 880, 779, 267, 968, 320, 9543, 4764, 538, 513, 11397, 15489, 892, 649, 786, 979, 998, 2079, 593, 1018, 646, 779, 3843, 547, 2995, 721, 267, 945, 646, 568, 3843, 547, 2911, 547, 543, 875, 646, 779, 12419, 713, 5048, 269, 3848, 7475, 609, 1808, 5528, 593, 875, 547, 2328, 606, 1557, 7421, 3483, 543, 4480, 519, 740, 538, 5304, 543, 3483, 2272, 585, 3604, 538, 519, 563, 1320, 9722, 827, 3483, 1018, 798, 596, 1616, 707, 5304, 547, 798, 267, 1589, 267, 610, 1745, 1018, 1281, 713, 1603, 4305, 1289, 593, 596, 547, 798, 610, 1557, 2059, 547, 1866, 269, 1548, 568, 3159, 875, 798, 596, 1711, 513, 3159, 1369, 606, 1557, 4585, 713, 3381, 3992, 547, 1451, 875, 1603, 609, 513, 1808, 5304, 543, 3483, 538, 2247, 269, 6333, 707, 3483, 267, 5304, 267, 543, 7084, 512, 522, 3927, 2232, 707, 7084, 267, 5659, 519, 4170, 2059, 609, 1018, 596, 917, 827, 707, 3853, 585, 1603, 543, 5497, 3988, 269, 10748, 1466, 267, 3483, 267, 543, 5098, 7654, 1018, 649, 723, 5941, 865, 2484, 568, 602, 5304, 543, 3483, 616, 519, 2556, 9238, 540, 1281, 519, 2898, 1557, 960, 547, 563, 8340, 856, 875, 1454, 596, 917, 827, 1557, 1603, 609, 606, 7317, 7688, 543, 7792, 2689, 4976, 2259, 2055, 616, 3730, 585, 4974, 269, 4197, 519, 2796, 585, 1603, 281, 3483, 543, 5304, 540, 519, 3390, 10388, 607, 1134, 607, 1022, 602, 1033, 847, 689, 519, 2949, 7145, 540, 519, 1557, 269, 6744, 856, 713, 5304, 543, 3483, 540, 1603, 1557, 1957, 4444, 12600, 5304, 543, 3483, 540, 1603, 1557, 10464, 1931, 5304, 543, 3483, 540, 1603, 1557, 689, 1269, 15782, 280, 829, 2985, 269, 6258, 875, 547, 2697, 543, 2328, 547, 519, 2115, 540, 707, 5304, 609, 4388, 689, 6280, 540, 29827, 1633, 6280, 2852, 781, 2500, 1603, 4099, 563, 8698, 1557, 910, 9135, 267, 5304, 267, 543, 3483, 14436, 1557, 689, 7005, 476, 6200, 693, 6280, 540, 524, 32385, 10620, 32748, 1817, 560, 476, 272, 795, 1783, 32748, 1817, 560, 1743, 522, 828, 4802, 7005, 476, 21172, 280, 476, 278, 5104, 569, 476, 1001, 275, 9135, 267, 5304, 267, 543, 3483, 269, 7046, 3561, 2630, 568, 606, 1557, 593, 2956, 540, 3483, 267, 5304, 267, 3159, 267, 543, 1543, 538, 4081, 1603, 689, 4550, 3594, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 563, 2710, 519, 2875, 781, 6679, 9433, 2491, 519, 3483, 596, 616, 8797, 547, 2015, 707, 5304, 607, 2038, 607, 1210, 1101, 1268, 538, 606, 4081, 1557, 269, 4860, 2358, 519, 10388, 1557, 281, 3919, 3617, 547, 3483, 267, 5304, 267, 543, 2796, 630, 1263, 1501, 1775, 1603, 563, 1103, 20116, 543, 5888, 267, 5304, 4016, 547, 19700, 610, 5497, 3988, 1222, 1451, 875, 547, 10646, 1114, 2010, 540, 5304, 543, 811, 269, 6732, 1603, 2978, 6616, 519, 5304, 585, 513, 1880, 1557, 568, 1271, 1317, 621, 11887, 519, 1543, 602, 786, 2408, 538, 519, 1603, 269, 1548, 713, 30453, 568, 827, 713, 30453, 786, 948, 596, 1174, 543, 2328, 585, 519, 3617, 5304, 950, 596, 2328, 606, 4081, 1557, 5304, 6927, 950, 596, 2461, 538, 519, 1184, 540, 1603, 513, 1957, 267, 621, 779, 2653, 547, 7340, 602, 596, 269, 6732, 3391, 547, 1603, 543, 4352, 707, 14357, 949, 581, 707, 5304, 585, 606, 1557, 1310, 596, 3313, 519, 2470, 540, 707, 5304, 543, 707, 3483, 269, 3503, 606, 1557, 538, 799, 596, 1397, 875, 1426, 1700, 1080, 2504, 267, 7041, 267, 543, 5924, 4616, 1700, 320, 977, 338, 4948, 1272, 3564, 922, 6654, 1909, 607, 835, 540, 519, 2596, 29476, 602, 568, 267, 2119, 547, 2263, 538, 707, 1557, 519, 2686, 267, 5626, 267, 543, 1514, 7506, 540, 1426, 593, 596, 543, 1346, 1472, 596, 269, 13017, 514, 6288, 795, 4461, 543, 31325, 693, 513, 3564, 695, 527, 1557, 513, 6390, 1250, 3003, 3781, 705, 321, 7652, 324, 1447, 599, 13447, 585, 24636, 519, 21088, 626, 5758, 1557, 593, 2899, 811, 547, 519, 10720, 1382, 4574, 4609, 2123, 1557, 10503, 3054, 538, 835, 2262, 25782, 6565, 1591, 1382, 1957, 795, 4461, 1117, 20580, 267, 29433, 1557, 562, 344, 340, 6280, 30602, 1208, 324, 5697, 3594, 269, 15233, 3483, 267, 5304, 519, 1344, 1590, 581, 3617, 543, 4277, 585, 519, 5304, 543, 3483, 606, 1557, 2854, 585, 3791, 17603, 602, 26564, 519, 563, 10907, 27854, 1603, 281, 3483, 543, 5304, 596, 616, 713, 4016, 547, 519, 1826, 540, 1603, 596, 616, 3257, 543, 621, 9832, 689, 513, 2241, 2239, 1557, 547, 513, 811, 1950, 269, 10748, 1466, 1175, 835, 2262, 2943, 621, 13489, 338, 31029, 569, 14845, 2592, 540, 829, 14658, 532, 4555, 538, 1250, 2247, 519, 2262, 4805, 568, 9490, 267, 855, 950, 2322, 538, 2796, 540, 606, 1557, 621, 3762, 803, 536, 3530, 1194, 543, 21616, 314, 323, 272, 316, 519, 2055, 968, 6343, 568, 5304, 892, 968, 25585, 798, 1775, 991, 621, 892, 543, 267, 968, 6343, 3483, 1281, 621, 269, 744, 3622, 267, 519, 3159, 540, 707, 1557, 1058, 581, 513, 476, 274, 267, 476, 275, 610, 476, 276, 3040, 3483, 568, 707, 2601, 585, 1603, 5304, 267, 3159, 267, 543, 3483, 476, 273, 5304, 281, 707, 2385, 610, 27369, 269, 5675, 606, 4661, 519, 3483, 540, 4661, 1603, 568, 547, 1459, 513, 2990, 543, 547, 723, 606, 5304, 9772, 610, 693, 2547, 519, 1893, 543, 3159, 540, 707, 1557, 269, 5131, 17720, 1387, 599, 525, 3159, 5304, 3483, 4574, 267, 3594, 267, 543, 1382, 4574, 269, 10748, 1466, 543, 3483, 2626, 519, 2055, 2630, 538, 16643, 3898, 1369, 835, 1557, 267, 607, 1134, 1865, 519, 2956, 540, 891, 1079, 2127, 267, 5304, 543, 3483, 267, 15663, 269, 2991, 3450, 1053, 875, 547, 10891, 3594, 3927, 267, 1775, 729, 593, 1283, 540, 519, 1158, 328, 3323, 1250, 1378, 5816, 827, 875, 1390, 1775, 729, 1775, 8655, 1250, 1053, 1776, 1557, 267, 6394, 621, 543, 7691, 1250, 1053, 1705, 711, 1174, 1603, 585, 3483, 543, 5304, 269, 0, 17359, 1576, 6609, 454, 1432, 596, 3513, 1451, 912, 307, 4381, 676, 519, 5640, 540, 519, 7467, 779, 4659, 585, 519, 5530, 540, 2782, 543, 22640, 267, 607, 1134, 607, 3056, 12200, 689, 14151, 3557, 2160, 267, 634, 2622, 2782, 4083, 12333, 5525, 25890, 786, 1683, 538, 3829, 4030, 585, 1053, 269, 634, 2622, 2782, 4083, 5525, 11173, 2069, 3950, 2488, 513, 3638, 5311, 540, 2228, 1875, 920, 9016, 6030, 602, 786, 1450, 24918, 4966, 543, 7855, 547, 1451, 693, 741, 1378, 10605, 267, 1247, 11543, 30856, 1702, 602, 666, 581, 1031, 538, 741, 3318, 11678, 563, 8248, 2131, 883, 519, 12267, 540, 519, 7414, 1576, 912, 25582, 476, 272, 910, 834, 288, 4303, 6904, 4024, 14970, 538, 5606, 18081, 4840, 5475, 811, 982, 1079, 1296, 540, 2921, 513, 1875, 17942, 3685, 626, 18879, 538, 2622, 2782, 4083, 267, 519, 2136, 2276, 568, 19876, 883, 519, 4655, 1739, 519, 9983, 4323, 593, 23421, 23320, 267, 543, 2306, 519, 2112, 835, 5963, 2518, 6560, 563, 25582, 476, 273, 910, 968, 763, 670, 16636, 540, 674, 622, 7536, 27001, 5412, 476, 3707, 272, 543, 5988, 476, 3707, 274, 267, 972, 568, 513, 23801, 6521, 538, 519, 2112, 607, 519, 27469, 2253, 547, 7930, 2744, 519, 5580, 1688, 1739, 513, 1297, 540, 14042, 9396, 1846, 2429, 2342, 267, 5607, 267, 543, 519, 11335, 563, 25582, 476, 274, 910, 968, 290, 10248, 26192, 18774, 7536, 290, 2026, 519, 2112, 22264, 2429, 476, 3707, 274, 267, 9118, 8396, 543, 19742, 25096, 3136, 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 ]
[ 4821, 3619, 846, 454, 12709, 585, 513, 20259, 267, 1753, 585, 513, 7703, 454, 295, 3233, 599, 585, 5262, 754, 334, 21580, 4303, 2336, 295, 3233, 599, 585, 5017, 2336, 295, 3233, 599, 585, 3165, 2336, 295, 16017, 538, 519, 6477, 5155, 454, 295, 677, 517, 11058, 2583, 519, 4212, 454, 295, 677, 517, 30650, 513, 945, 2336, 1692, 798, 17878, 2973, 741, 11623, 888, 1692, 798, 17878, 3548, 741, 1426, 888, 1692, 798, 17878, 1205, 1134, 4166, 888, 1692, 798, 17878, 979, 547, 1153, 888, 1692, 798, 17878, 2161, 594, 2648, 596, 888, 1692, 798, 17878, 2161, 1434, 3781, 888, 1692, 798, 596, 530, 758, 6390, 2914, 758, 6390, 888, 295, 25744, 1524, 547, 14216, 787, 12876, 454, 295, 2313, 267, 2370, 536, 22324, 454, 296, 513, 514, 1405, 27613, 5862, 1100, 811, 2336, 296, 993, 2614, 454, 296, 993, 14834, 2336, 296, 666, 1405, 1491, 513, 8602, 2336, 296, 1810, 1405, 1616, 513, 1064, 327, 2915, 454, 296, 13842, 1153, 454, 296, 13842, 547, 581, 7210, 454, 296, 6785, 596, 1223, 256, 2433, 513, 1433, 585, 782, 519, 13515, 538, 707, 1272, 454, 296, 917, 513, 21183, 8284, 945, 15179, 539, 513, 1591, 334, 454, 296, 917, 513, 649, 324, 6477, 4445, 454, 296, 917, 606, 2025, 4116, 454, 296, 917, 621, 781, 15489, 454, 296, 899, 8885, 2336, 296, 899, 547, 3094, 2336, 296, 2648, 2469, 998, 713, 1433, 454, 296, 3576, 519, 7599, 585, 513, 3802, 454, 296, 1616, 547, 581, 513, 10800, 326, 20071, 454, 296, 729, 4535, 827, 476, 1015, 267, 1822, 1296, 3516, 2433, 513, 7381, 9661, 454, 296, 4682, 6972, 454, 296, 786, 2648, 596, 19037, 454, 296, 24714, 585, 513, 27033, 1941, 454, 296, 6415, 27613, 899, 803, 2433, 15603, 1055, 513, 2370, 1582, 12635, 454, 296, 6415, 707, 1668, 454, 296, 4312, 3893, 606, 17707, 454, 296, 576, 8645, 543, 17878, 454, 2252, 594, 10443, 519, 23291, 454, 2252, 2831, 21098, 539, 1434, 3781, 454, 2252, 596, 3513, 581, 1250, 27223, 454, 2252, 596, 2811, 5577, 6853, 454, 296, 1375, 344, 3212, 1188, 267, 4056, 454, 1103, 2037, 15605, 781, 26672, 573, 10651, 454, 1103, 513, 1004, 2777, 2676, 1103, 1250, 18147, 454, 1103, 519, 535, 1497, 568, 513, 5152, 2433, 513, 12740, 7308, 22286, 777, 1433, 540, 6456, 1761, 454, 1103, 519, 1507, 267, 1507, 11432, 454, 1103, 519, 7381, 267, 7381, 6371, 454, 11900, 728, 513, 2777, 602, 568, 20807, 539, 454, 3674, 972, 2731, 513, 1480, 5198, 888, 3674, 707, 544, 4821, 513, 561, 4594, 320, 888, 2005, 781, 513, 3595, 12187, 3781, 454, 2005, 781, 5399, 1554, 454, 2005, 781, 986, 1456, 267, 621, 781, 26311, 454, 2005, 781, 707, 1101, 1554, 540, 1153, 267, 7788, 773, 1849, 18311, 454, 297, 629, 828, 342, 1442, 344, 2433, 513, 20060, 1619, 29194, 454, 31568, 543, 519, 21167, 560, 1779, 2433, 513, 12563, 9661, 5929, 454, 297, 600, 1299, 9932, 454, 297, 525, 572, 19594, 267, 1018, 786, 596, 5957, 888, 11990, 5500, 2561, 956, 3975, 2433, 513, 6648, 454, 297, 2794, 883, 5130, 2433, 513, 3460, 1472, 519, 1032, 454, 297, 2794, 267, 13855, 267, 7914, 2336, 9617, 1832, 10977, 454, 9617, 1250, 19033, 1299, 803, 454, 11390, 22781, 7788, 666, 2336, 21914, 10793, 543, 519, 15743, 454, 298, 527, 1399, 9697, 267, 14173, 1399, 9697, 267, 616, 596, 24971, 909, 888, 298, 527, 1399, 3032, 267, 6539, 1399, 3032, 267, 616, 596, 2469, 547, 1153, 888, 17442, 2379, 806, 320, 543, 519, 890, 320, 454, 299, 622, 585, 1153, 2336, 8867, 777, 1394, 1753, 547, 803, 454, 4131, 781, 2973, 909, 2336, 4131, 781, 1293, 23161, 2336, 4131, 781, 7544, 267, 2370, 623, 809, 773, 454, 299, 1149, 602, 530, 24513, 548, 454, 28012, 9779, 1399, 631, 748, 773, 454, 28012, 7323, 30064, 454, 28012, 7323, 267, 2462, 521, 529, 454, 28012, 979, 4565, 1231, 4557, 454, 28012, 3043, 2915, 454, 299, 4594, 320, 700, 4594, 320, 14914, 4212, 454, 299, 4594, 320, 700, 4594, 320, 543, 519, 4439, 569, 23820, 454, 299, 4594, 320, 700, 4594, 320, 9702, 12416, 454, 299, 4594, 320, 700, 4594, 320, 1753, 609, 631, 4821, 454, 299, 4594, 320, 700, 4594, 320, 14560, 547, 1224, 454, 299, 4594, 320, 700, 4594, 320, 14834, 693, 544, 4821, 454, 299, 4594, 320, 700, 4594, 320, 3190, 267, 3190, 267, 3190, 454, 299, 4594, 320, 700, 4594, 320, 4413, 525, 631, 4821, 454, 299, 4594, 320, 700, 4594, 320, 5070, 1299, 3141, 454, 299, 4594, 320, 700, 4594, 320, 942, 547, 2671, 454, 299, 4594, 320, 700, 4594, 320, 267, 3781, 344, 3781, 454, 299, 4594, 320, 561, 4594, 320, 795, 17532, 30518, 454, 299, 4594, 320, 561, 4594, 320, 2699, 533, 1690, 4821, 454, 299, 4594, 320, 561, 4594, 320, 8945, 610, 1521, 454, 299, 665, 755, 533, 1371, 2433, 513, 1433, 547, 17079, 596, 454, 16100, 256, 589, 1433, 2336, 299, 1824, 540, 15956, 454, 27094, 543, 21098, 525, 454, 27094, 568, 513, 19625, 540, 9932, 454, 27094, 568, 513, 14903, 454, 300, 568, 585, 3765, 27815, 2433, 606, 589, 547, 2098, 540, 562, 2795, 1399, 1453, 454, 32743, 5202, 543, 519, 7314, 540, 7507, 454, 32743, 5202, 543, 519, 14934, 1186, 625, 454, 32743, 5202, 538, 5507, 454, 300, 4821, 2141, 2501, 1753, 454, 300, 7559, 1185, 513, 2370, 561, 4594, 320, 454, 11321, 574, 9346, 256, 2433, 1918, 2297, 689, 589, 547, 2098, 454, 11321, 9109, 918, 269, 7720, 2292, 267, 786, 596, 5225, 979, 1631, 2336, 27746, 1185, 513, 2370, 2978, 454, 300, 1069, 320, 1749, 3728, 18069, 454, 30560, 787, 8285, 267, 5789, 787, 7715, 454, 300, 823, 616, 8799, 454, 300, 573, 9519, 538, 519, 28200, 2433, 513, 838, 809, 344, 3406, 7146, 1922, 785, 9904, 1433, 454, 300, 26663, 267, 22800, 4070, 3135, 454, 29309, 645, 785, 7124, 22842, 519, 476, 1911, 628, 1554, 540, 9656, 454, 29309, 645, 785, 7124, 4991, 4712, 585, 9656, 454, 29309, 645, 785, 7124, 814, 513, 3552, 1554, 538, 9656, 454, 300, 20207, 14560, 1200, 4816, 267, 667, 23098, 14560, 1010, 4816, 454, 12507, 3122, 2115, 513, 8285, 3529, 454, 12507, 3122, 2115, 513, 28076, 454, 12507, 3122, 2115, 1010, 3207, 454, 12507, 9094, 593, 6191, 454, 300, 5622, 267, 4779, 334, 267, 6960, 10800, 267, 723, 596, 1022, 5144, 888, 300, 5366, 593, 519, 10690, 454, 5415, 838, 698, 515, 26152, 267, 594, 2161, 2336, 300, 1787, 538, 2648, 454, 31161, 936, 267, 681, 1478, 2336, 16031, 269, 4024, 578, 2421, 781, 8285, 3529, 454, 300, 3464, 269, 5062, 301, 9655, 543, 519, 1390, 2462, 23601, 454, 300, 3464, 269, 654, 880, 344, 8862, 553, 1506, 781, 8285, 454, 300, 3464, 269, 654, 880, 344, 8862, 553, 1506, 781, 3484, 454, 7069, 1655, 3659, 454, 7069, 1101, 6014, 4816, 1433, 2433, 3592, 3388, 596, 991, 547, 917, 827, 1373, 6014, 689, 7192, 1731, 1580, 547, 1990, 599, 1372, 454, 7069, 1101, 1433, 540, 19176, 1913, 2433, 606, 13235, 6586, 2719, 1433, 540, 19176, 1893, 543, 2528, 454, 7069, 1101, 1433, 540, 22158, 630, 1721, 8695, 994, 7069, 2295, 568, 899, 513, 23291, 454, 7069, 1082, 11954, 2395, 454, 7069, 20599, 544, 4821, 14560, 803, 865, 454, 7069, 533, 3415, 10793, 454, 301, 514, 10937, 4414, 681, 4575, 32431, 454, 5591, 23040, 256, 8786, 23040, 2336, 5591, 3207, 585, 519, 13265, 2336, 301, 984, 1328, 1934, 855, 803, 454, 22139, 2197, 5614, 454, 301, 5847, 666, 19225, 523, 513, 7703, 454, 19423, 649, 979, 2336, 17764, 267, 524, 10224, 682, 329, 657, 561, 548, 3258, 553, 2336, 17764, 267, 519, 4025, 596, 3513, 979, 2336, 24874, 5839, 291, 10735, 781, 1919, 602, 979, 454, 4002, 513, 2842, 344, 3781, 454, 5629, 2390, 513, 6531, 454, 3080, 2462, 6292, 540, 896, 18875, 454, 3080, 7715, 2433, 513, 10203, 22565, 454, 3080, 3165, 267, 1079, 3165, 267, 2699, 3165, 267, 4544, 3165, 454, 3080, 2295, 2433, 1496, 320, 27223, 10203, 1433, 2639, 3080, 568, 513, 8930, 1092, 454, 3080, 2370, 10856, 454, 3080, 811, 13265, 454, 3080, 540, 1142, 454, 3080, 1079, 602, 781, 1250, 21489, 2336, 18744, 513, 18338, 666, 8038, 454, 302, 617, 956, 540, 2831, 454, 5978, 1362, 3576, 513, 7552, 547, 519, 23291, 454, 7021, 693, 519, 14500, 454, 7021, 538, 5245, 2433, 5863, 2831, 13560, 7201, 454, 7021, 538, 519, 11848, 2433, 1141, 519, 4411, 12798, 9514, 454, 7021, 538, 519, 803, 20760, 454, 303, 7701, 7703, 267, 5774, 320, 7703, 267, 1018, 798, 596, 1294, 888, 15031, 1399, 781, 22481, 15429, 454, 10144, 1810, 1405, 11116, 1004, 454, 30821, 713, 1433, 454, 303, 23176, 519, 9697, 543, 519, 1007, 18560, 454, 303, 23176, 519, 3032, 2433, 4224, 532, 538, 1250, 1153, 10887, 454, 303, 23176, 519, 3032, 17990, 8285, 454, 30821, 924, 22748, 613, 2433, 513, 595, 1690, 684, 4414, 681, 4575, 32431, 454, 303, 1157, 344, 11427, 269, 17292, 548, 454, 303, 12127, 513, 680, 4868, 267, 14918, 7523, 648, 2336, 303, 12127, 2648, 12277, 454, 303, 597, 622, 23040, 2433, 513, 1433, 540, 4778, 454, 25440, 995, 2370, 32463, 454, 21691, 823, 2433, 9292, 11538, 256, 4543, 256, 9494, 2336, 21691, 823, 10492, 593, 29862, 454, 303, 4958, 754, 596, 2811, 513, 3032, 454, 7468, 514, 947, 19067, 322, 820, 13643, 543, 519, 7544, 973, 1388, 454, 7468, 514, 947, 19067, 322, 820, 13643, 543, 519, 15596, 781, 5008, 564, 454, 7468, 514, 947, 19067, 322, 820, 13643, 4465, 1405, 979, 547, 1153, 2336, 7468, 514, 947, 22427, 569, 538, 594, 993, 22427, 569, 454, 7468, 514, 947, 22427, 569, 538, 1250, 9589, 267, 31394, 1225, 3149, 454, 21607, 803, 538, 519, 23291, 2433, 513, 1433, 540, 4778, 454, 305, 1695, 267, 986, 327, 267, 2234, 8460, 256, 2433, 513, 10448, 669, 656, 454, 5649, 547, 707, 536, 22324, 454, 16446, 616, 519, 13212, 454, 16446, 568, 513, 15743, 2433, 513, 1433, 540, 4778, 454, 16446, 1769, 267, 3039, 1769, 454, 16446, 267, 3043, 267, 543, 22820, 2336, 21659, 1824, 267, 11608, 10876, 2336, 305, 7112, 593, 519, 2156, 558, 454, 305, 657, 773, 1234, 3164, 267, 11653, 454, 306, 12944, 3781, 693, 519, 21300, 588, 20234, 454, 306, 3249, 513, 7703, 454, 9928, 776, 267, 17559, 19343, 454, 5353, 320, 267, 5070, 267, 803, 2336, 8450, 1299, 22342, 5546, 2433, 9954, 454, 8450, 519, 4778, 2433, 1129, 1893, 585, 4778, 454, 5353, 1597, 17237, 9002, 454, 5353, 1597, 2370, 536, 18365, 625, 454, 4537, 698, 4445, 5243, 267, 530, 698, 4445, 5243, 454, 9515, 788, 19046, 1055, 2336, 9515, 788, 856, 547, 3548, 454, 9515, 788, 1491, 513, 30382, 454, 9515, 788, 8945, 610, 1521, 454, 4537, 1853, 803, 5022, 2433, 513, 19266, 622, 13235, 454, 306, 11035, 590, 826, 2433, 1129, 1893, 585, 3527, 454, 306, 1460, 2370, 32138, 454, 28036, 267, 8262, 19594, 267, 3207, 2336, 28036, 267, 3109, 7703, 267, 3207, 454, 306, 15062, 344, 5689, 1074, 328, 267, 1930, 519, 7450, 454, 10712, 334, 5255, 707, 1093, 5255, 454, 306, 852, 5443, 782, 1032, 454, 306, 852, 5443, 693, 8285, 454, 306, 852, 344, 2095, 344, 9514, 344, 2433, 513, 12964, 3275, 22565, 454, 27409, 10212, 548, 909, 267, 3207, 344, 3283, 454, 3383, 2161, 519, 2370, 22171, 454, 306, 1993, 807, 4406, 1372, 345, 267, 2104, 840, 345, 454, 8967, 698, 515, 26152, 609, 519, 8616, 328, 454, 306, 680, 880, 267, 10943, 1662, 267, 5614, 454, 8967, 1824, 538, 513, 4216, 454, 8967, 684, 5652, 2370, 24564, 454, 306, 638, 1662, 5810, 538, 9835, 15289, 781, 8511, 2433, 4737, 593, 4737, 454, 17556, 600, 5721, 267, 5326, 5721, 454, 1805, 3089, 538, 519, 16095, 454, 12648, 513, 11878, 676, 1250, 2427, 454, 307, 718, 543, 1507, 454, 307, 22931, 2433, 513, 1650, 827, 5546, 454, 307, 777, 519, 9059, 3529, 454, 5938, 993, 334, 267, 581, 2041, 267, 2370, 835, 454, 307, 523, 13212, 909, 593, 1283, 2336, 307, 523, 5243, 538, 519, 6885, 2433, 513, 1293, 6658, 1433, 454, 307, 523, 1166, 4770, 3595, 13219, 454, 307, 523, 2370, 11263, 543, 4557, 2370, 19462, 454, 307, 523, 2370, 3165, 454, 307, 523, 2370, 544, 27186, 2433, 606, 12266, 10203, 1433, 454, 307, 523, 593, 519, 521, 1194, 454, 307, 523, 6263, 9002, 454, 6546, 3032, 666, 1405, 3251, 2336, 763, 476, 1321, 2395, 540, 19343, 454, 763, 645, 7967, 560, 664, 645, 8986, 593, 519, 7599, 454, 763, 8285, 12217, 454, 763, 30421 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8036, 267, 519, 14763, 16091, 519, 10806, 269, 634, 1494, 614, 1185, 547, 4339, 609, 8036, 7980, 269, 1261, 1175, 729, 711, 2111, 547, 269, 24664, 1176, 267, 646, 10443, 1259, 543, 646, 729, 2111, 547, 9101, 269, 1809, 267, 646, 7948, 1406, 960, 538, 519, 19289, 1586, 563, 2171, 1058, 2760, 9114, 827, 938, 1983, 547, 23666, 824, 1004, 563, 1805, 800, 5565, 281, 634, 2961, 335, 10938, 781, 32425, 454, 5629, 2390, 513, 942, 267, 972, 5030, 513, 15790, 10938, 538, 513, 8498, 269, 1261, 15110, 519, 15790, 18782, 13186, 689, 1010, 4651, 269, 9282, 646, 6785, 15790, 18782, 1983, 267, 646, 729, 711, 5461, 538, 3395, 519, 1870, 269, 1809, 646, 1185, 1100, 3903, 267, 607, 646, 1705, 711, 723, 519, 10100, 547, 6655, 1010, 16858, 547, 1010, 1920, 563, 3080, 1554, 267, 646, 729, 21409, 547, 1776, 2749, 593, 10279, 269, 1261, 3357, 2066, 513, 4342, 601, 799, 1185, 2016, 4332, 547, 513, 4816, 4342, 601, 269, 22628, 519, 3993, 543, 519, 28419, 646, 729, 5645, 2476, 269, 1284, 4682, 2282, 873, 543, 533, 2086, 1229, 873, 269, 2311, 1101, 267, 789, 4951, 930, 967, 29924, 543, 1287, 789, 3893, 1031, 547, 1010, 5905, 269, 1358, 849, 2968, 2828, 269, 1261, 3893, 606, 2856, 269, 1261, 2219, 646, 1223, 1832, 873, 607, 10130, 269, 1924, 267, 4948, 646, 4682, 547, 3643, 873, 543, 10480, 873, 609, 13035, 6371, 543, 5613, 269, 1261, 1287, 3893, 606, 2856, 269, 1261, 3323, 547, 5144, 519, 4342, 601, 543, 6133, 519, 5144, 269, 17652, 646, 2968, 3638, 269, 1261, 11751, 1776, 4342, 601, 269, 1261, 1185, 6591, 2614, 2724, 543, 6015, 547, 2995, 1010, 1920, 2818, 827, 1010, 1007, 1870, 269, 1358, 941, 849, 6126, 547, 917, 269, 1358, 6806, 741, 15790, 18782, 6300, 543, 8118, 513, 1007, 10683, 563, 2691, 649, 616, 2386, 827, 938, 6612, 267, 972, 568, 4986, 4636, 538, 19234, 269, 4634, 952, 649, 4755, 547, 3111, 267, 649, 786, 723, 519, 9547, 540, 12394, 563, 2710, 3314, 547, 1294, 938, 824, 2472, 585, 3214, 910, 5403, 619, 543, 18044, 21998, 454, 5723, 27345, 5990, 27483, 295, 3036, 912, 29834, 320, 2398, 553, 611, 568, 513, 27503, 5856, 945, 11339, 4930, 543, 2110, 2984, 585, 3214, 269, 2701, 11099, 602, 6689, 568, 519, 1318, 2085, 547, 538, 1529, 322, 622, 519, 1318, 2418, 538, 3214, 269, 898, 2337, 873, 547, 1020, 883, 8746, 4079, 269, 2701, 6272, 543, 8255, 513, 4819, 779, 12139, 1572, 589, 700, 3951, 307, 4041, 27749, 268, 2304, 12056, 27412, 267, 998, 799, 1352, 13290, 547, 3914, 3214, 602, 2337, 3214, 3251, 2476, 689, 5496, 267, 1628, 7391, 543, 1628, 519, 1318, 14820, 538, 3214, 0, 268, 5681, 3405, 1125, 519, 8753, 540, 16023, 6436, 540, 5718, 563, 268, 10576, 519, 3844, 28975, 543, 1292, 7687, 540, 8965, 6436, 563, 268, 25037, 20314, 1890, 6436, 540, 5718, 563, 268, 14674, 519, 4207, 6436, 540, 5718, 543, 741, 2078, 547, 13654, 6436, 563, 268, 9181, 519, 5107, 540, 3401, 538, 2870, 5683, 3906, 563, 268, 14674, 875, 3401, 666, 723, 513, 2318, 1764, 593, 741, 3906, 998, 2679, 3972, 543, 29013, 563, 268, 10576, 519, 2591, 547, 938, 1620, 540, 5718, 563, 1432, 1772, 15557, 888, 268, 15557, 281, 634, 2702, 547, 3310, 513, 1895, 4724, 519, 9740, 540, 513, 5075, 610, 513, 1305, 540, 3853, 454, 268, 3004, 527, 6436, 540, 5718, 281, 1445, 593, 2123, 7907, 543, 4162, 454, 268, 15557, 11944, 454, 268, 15557, 7145, 454, 7617, 540, 519, 5718, 2409, 4330, 538, 3848, 476, 1321, 540, 7605, 321, 1231, 543, 25960, 723, 519, 1034, 538, 1455, 609, 10197, 514, 779, 476, 274, 21178, 720, 7844, 286, 22702, 547, 10197, 514, 779, 2203, 267, 1018, 267, 952, 4376, 267, 568, 7508, 689, 519, 5718, 2511, 610, 6163, 596, 8359, 286, 0, 2026, 513, 2816, 3343, 518, 610, 2875, 945, 568, 7311, 585, 2852, 610, 6280, 16075, 267, 513, 3732, 16252, 4484, 568, 835, 540, 519, 1034, 4105, 7221, 602, 596, 1058, 723, 538, 519, 6006, 540, 707, 3318, 8100, 269, 589, 16252, 4484, 267, 849, 1634, 607, 513, 4704, 4484, 610, 4484, 540, 16252, 267, 666, 581, 3989, 607, 513, 3561, 538, 799, 922, 5856, 2708, 525, 519, 4162, 267, 7207, 267, 543, 7907, 540, 519, 11134, 610, 519, 1268, 602, 789, 616, 2857, 2056, 538, 14621, 547, 741, 5759, 547, 1685, 513, 1808, 1599, 610, 4305, 563, 29995, 267, 16252, 5022, 616, 1644, 547, 16075, 547, 2362, 2069, 5238, 267, 7694, 543, 14172, 25046, 269, 589, 16252, 4484, 666, 581, 2854, 593, 7662, 267, 8754, 267, 9619, 547, 513, 2016, 7662, 528, 945, 666, 581, 606, 11464, 538, 5279, 540, 6280, 610, 2852, 16075, 610, 513, 1007, 16108, 269, 1717, 267, 713, 4484, 666, 581, 9783, 547, 513, 1268, 602, 568, 1373, 5227, 269, 769, 602, 2013, 267, 519, 1039, 637, 5408, 568, 711, 9138, 563, 15371, 596, 616, 519, 835, 538, 991, 540, 513, 16252, 4484, 610, 596, 723, 1044, 4280, 676, 513, 26393, 267, 513, 3659, 610, 513, 21738, 9441, 547, 2328, 835, 267, 513, 1434, 1383, 540, 513, 16252, 4484, 786, 5512, 596, 547, 3313, 875, 513, 1434, 16252, 4484, 1058, 1413, 899, 269, 2060, 513, 1434, 3732, 4484, 267, 596, 786, 917, 875, 547, 3898, 513, 16252, 4484, 269, 589, 1434, 3732, 786, 849, 948, 596, 538, 8159, 519, 1344, 547, 1331, 538, 519, 4484, 269, 1403, 596, 616, 519, 835, 538, 991, 540, 513, 16252, 4484, 267, 596, 786, 917, 1018, 547, 2307, 707, 2857, 2658, 547, 1331, 610, 5031, 538, 707, 4704, 4484, 563, 8855, 602, 513, 16252, 4484, 1058, 581, 2854, 24015, 269, 898, 1058, 581, 30149, 5265, 543, 5470, 6954, 269, 1403, 596, 616, 1603, 513, 16252, 4484, 585, 519, 1101, 942, 267, 513, 1434, 16252, 4484, 3732, 786, 1118, 713, 9583, 18447, 4305, 4443, 563, 2467, 568, 513, 3898, 585, 1603, 16252, 5022, 602, 513, 1434, 3732, 1058, 1246, 563, 1607, 3898, 568, 607, 5205, 912, 268, 13555, 1344, 454, 288, 1434, 16252, 4484, 3732, 1058, 1376, 609, 3346, 1344, 269, 901, 2882, 707, 2012, 267, 2140, 267, 1153, 610, 2754, 2012, 267, 2232, 267, 2749, 543, 23407, 610, 3557, 3009, 4553, 676, 519, 4266, 563, 2252, 519, 5856, 540, 513, 3732, 4484, 6487, 519, 1270, 6856, 267, 789, 1331, 2892, 16615, 971, 607, 31351, 6004, 269, 6276, 269, 1717, 267, 952, 621, 568, 513, 2489, 16252, 4484, 3732, 267, 789, 2328, 267, 968, 2414, 1733, 558, 621, 2904, 19634, 333, 7536, 268, 3689, 5037, 454, 1103, 519, 1101, 5037, 540, 513, 3732, 16252, 4484, 267, 519, 5856, 6941, 875, 789, 616, 4448, 547, 519, 1268, 602, 568, 1373, 5227, 269, 901, 2882, 3877, 540, 875, 789, 917, 873, 543, 1946, 789, 616, 11727, 4363, 619, 540, 602, 1268, 585, 1153, 610, 7694, 2990, 563, 268, 5822, 5037, 454, 1103, 519, 2034, 5037, 267, 513, 1434, 16252, 4484, 1383, 1058, 1331, 1344, 3823, 519, 1268, 602, 568, 1373, 5227, 269, 901, 2882, 1018, 2306, 873, 11727, 267, 519, 9295, 602, 789, 666, 1118, 543, 4128, 585, 2857, 2056, 873, 269, 634, 3732, 666, 946, 3606, 9433, 547, 1683, 891, 3877, 563, 268, 12059, 5037, 454, 763, 3791, 5037, 540, 513, 3732, 16252, 4484, 1058, 1683, 1344, 602, 6920, 875, 519, 1983, 540, 519, 1268, 1373, 5227, 6474, 519, 2990, 602, 789, 616, 5275, 610, 7311, 585, 269, 1677, 1205, 713, 1344, 267, 1034, 5830, 2307, 585, 513, 5299, 540, 519, 16056, 540, 519, 1268, 1373, 5227, 610, 513, 2816, 20171, 779, 5299, 269, 901, 2306, 1603, 513, 16419, 16252, 4484, 2009, 563, 1607, 568, 513, 3296, 540, 513, 16252, 4484, 3732, 602, 2488, 513, 5758, 540, 519, 4128, 585, 2857, 2056, 519, 11134, 269, 769, 713, 3296, 267, 519, 5856, 2829, 1946, 789, 9244, 4363, 610, 1946, 789, 4363, 519, 11134, 1510, 30063, 563, 1103, 519, 3932, 540, 606, 1383, 540, 513, 16252, 4484, 267, 519, 5856, 2488, 3606, 1344, 971, 607, 6049, 1297, 267, 4757, 2232, 610, 513, 15040, 563, 301, 5847, 786, 2490, 1055, 513, 1761, 9441, 982, 513, 16252, 4484, 602, 568, 2854, 9292, 3072, 569, 269, 5457, 602, 621, 568, 606, 8956, 547, 581, 4280, 676, 513, 1268, 547, 2328, 513, 16252, 4484, 585, 873, 269, 4475, 267, 952, 596, 798, 711, 917, 875, 547, 2328, 513, 1434, 16252, 4484, 267, 1491, 942, 547, 1265, 1434, 3732, 5022, 543, 10274, 585, 1603, 835, 269, 589, 1434, 1383, 540, 513, 16252, 4484, 568, 2854, 24015, 538, 513, 6101, 4484, 3898, 269, 898, 3096, 513, 3318, 1893, 543, 621, 2882, 519, 1883, 10305, 540, 519, 1268, 602, 568, 1373, 5227, 269, 3958, 267, 621, 2488, 3102, 3877, 540, 519, 32358, 2864, 982, 3274, 513, 24920, 540, 741, 20340, 563, 2467, 616, 1082, 2081, 540, 3478, 1434, 3732, 5022, 1519, 6998, 4274, 5830, 547, 2328, 835, 585, 596, 269, 1411, 666, 849, 2307, 9164, 547, 948, 596, 538, 1603, 513, 4704, 4484, 269, 1403, 596, 616, 606, 9441, 971, 607, 513, 28643, 267, 519, 1480, 4199, 8257, 540, 519, 2754, 602, 596, 960, 585, 1522, 723, 2250, 16252, 5022, 602, 596, 666, 10210, 269, 3958, 267, 972, 616, 2228, 2959, 602, 723, 3732, 5022, 602, 596, 666, 946, 607, 707, 1603, 3391, 563, 7078, 540, 16252, 5022, 454, 16031, 269, 645, 21672, 26673, 3700, 2676, 17471, 20764, 999, 17290, 2676, 1724, 628, 28818, 2637, 9334, 4400, 10003, 2676, 6124, 24900, 267, 5177, 563, 20428, 281, 31287, 779, 2990, 16252, 538, 707, 3919, 454, 296, 267, 8361, 18536, 267, 2324, 607, 519, 19737, 10615, 538, 513, 8361, 543, 6276, 9660, 5663, 2754, 6999, 547, 4363, 9652, 9796, 928, 585, 513, 31707, 2990, 538, 707, 3919, 563, 297, 28427, 814, 1044, 2324, 538, 938, 3919, 585, 519, 2063, 1079, 1296, 607, 606, 13930, 9614, 269, 4438, 713, 942, 267, 972, 814, 711, 1044, 513, 2013, 540, 15534, 2465, 1143, 610, 1256, 4734, 585, 9652, 269, 9652, 568, 14047, 783, 1317, 646, 2141, 1867, 547, 1010, 960, 6728, 593, 942, 269, 1261, 568, 3608, 267, 513, 1434, 2319, 6345, 543, 513, 6205, 269, 9652, 568, 849, 1434, 693, 30070, 1010, 1071, 22086, 619, 563, 296, 993, 8746, 602, 952, 596, 2308, 9652, 267, 646, 786, 6961, 602, 646, 568, 513, 1390, 10697, 585, 606, 3919, 269, 18461, 1863, 547, 3346, 803, 1022, 942, 585, 811, 1344, 827, 9652, 563, 2414, 1733, 558, 898, 2904, 19634, 333, 912, 289, 21672, 13690, 4371, 519, 2990, 540, 606, 8556, 13577, 19608, 693, 7073, 6874, 3663, 689, 476, 1001, 272, 547, 476, 1001, 275, 269, 4438, 1010, 2816, 26022, 693, 7073, 6874, 3663, 267, 645, 21672, 729, 3743, 585, 3246, 5604, 1489, 799, 3769, 7829, 4247, 899, 2870, 2156, 577, 999, 267, 20319, 20499, 267, 6721, 6054, 1210, 6478, 6713, 528, 267, 1603, 3377, 24393, 543, 824, 2010, 540, 5604, 3332, 563, 289, 21672, 17411, 1010, 9021, 24015, 1510, 15569, 269, 3571, 2990, 2838, 2834, 5872, 609, 2818, 540, 519, 1857, 269, 898, 849, 2838, 513, 1390, 4308, 540, 519, 2702, 547, 561, 807, 1047, 1851, 1114, 13623, 269, 1677, 581, 3811, 267, 646, 645, 21672, 2838, 2178, 14375, 543, 2792, 1983, 563, 296, 993, 19914, 547, 4363, 645, 21672, 543, 594, 666, 18390, 2161, 602, 1010, 6075, 3028, 267, 2780, 7924, 267, 3318, 1143, 543, 960, 7881, 616, 1390, 269, 594, 993, 17216, 8746, 602, 646, 786, 581, 513, 1390, 10697, 585, 707, 3919, 952, 596, 2709, 1864, 519, 2990, 602, 646, 568, 7311, 585, 269, 9877, 569, 1745, 1863, 547, 3914, 803, 1022, 942, 952, 596, 991, 2417, 1344, 827, 645, 21672, 563, 26322, 12833, 9876, 618, 10615, 2676, 16960, 674, 820, 9335, 454, 2414, 946, 513, 3732, 4484, 607, 513, 3391, 585, 1603, 707, 16252, 4484, 267, 596, 991, 547, 1246, 1978, 3268, 607, 5205, 912, 268, 5623, 519, 16252, 4484, 1383, 547, 1294, 875, 610, 1141, 519, 5856, 4025, 2609, 899, 519, 2232, 267, 4408, 543, 10643, 269, 901, 568, 1360, 1271, 1317, 875, 543, 1141, 713, 1344, 568, 5116, 2306, 713, 4484, 3318, 563, 268, 6744, 519, 3732, 4484, 5402, 547, 4063, 519, 1344, 602, 568, 3769, 538, 519, 3732, 4484, 269, 1717, 267, 3877, 540, 513, 16252, 4484, 666, 4268, 4470, 593, 519, 2990, 602, 568, 1373, 4294, 585, 269, 1280, 3236, 267, 3877, 540, 513, 2816, 16252, 4484, 616, 1114, 689, 1346, 540, 513, 14172, 16252, 4484, 269, 4475, 267, 1224, 519, 3732, 547, 917, 519, 1344 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8196, 15019, 8535, 547, 13724, 7335, 543, 23512, 790, 5675, 454, 278, 12333, 18500, 7689, 4643, 4400, 3427, 24436, 18679, 292, 16435, 7689, 12697, 1280, 20661, 16592, 29329, 8771, 18679, 274, 6113, 6103, 4569, 7689, 4643, 22276, 12059, 7151, 5871, 18679, 14079, 476, 277, 13004, 3992, 4566, 11503, 740, 548, 6758, 743, 889, 454, 763, 11193, 4400, 3427, 2622, 3778, 7689, 12697, 18679, 2998, 2979, 476, 272, 560, 3446, 3992, 4566, 4073, 10488, 454, 18250, 294, 3863, 295, 650, 654, 1180, 619, 3689, 6103, 8249, 543, 7179, 8083, 454, 763, 6520, 2986, 16709, 8018, 23433, 6184, 2869, 1049, 18679, 300, 20207, 8575, 652, 571, 20098, 30142, 27885, 7689, 12697, 27207, 11242, 18679, 275, 628, 6103, 3778, 7689, 12697, 3571, 6103, 476, 275, 628, 6103, 18679, 17810, 3992, 4566, 454, 289, 578, 1782, 700, 335, 476, 274, 476, 278, 628, 6103, 8447, 4065, 454, 16498, 4065, 7689, 4643, 22276, 476, 278, 5131, 12726, 18679, 13349, 11759, 10439, 8551, 7689, 12697, 16504, 3203, 18679, 19177, 628, 6103, 5675, 22544, 7689, 18679, 19968, 4569, 7689, 12697, 585, 18679, 292, 16435, 7689, 12697, 585, 4400, 3427, 454, 23612, 6103, 4569, 7689, 12697, 5871, 18679, 22706, 476, 277, 4569, 7689, 12697, 454, 305, 10718, 7689, 12697, 476, 280, 628, 6103, 454, 7883, 4569, 7689, 12697, 3689, 6103, 454, 10190, 543, 3767, 7689, 12697, 476, 272, 560, 6103, 454, 18439, 3464, 7689, 12697, 476, 276, 628, 6103, 454, 23991, 26492, 7689, 12697, 18679, 275, 628, 6103, 4993, 3778, 7689, 18679, 8512, 338, 540, 513, 7233, 7689, 4643, 6103, 18679, 289, 578, 1782, 7689, 12697, 585, 5664, 18679, 16498, 4065, 7689, 12697, 18679, 24058, 8551, 7689, 12697, 16504, 10371, 0, 4467, 11772, 542, 568, 519, 2949, 3804, 540, 2542, 269, 2290, 1935, 547, 948, 1053, 2333, 741, 8223, 568, 547, 1865, 513, 1257, 538, 1507, 13001, 16766, 5468, 269, 8616, 267, 1082, 1053, 6560, 547, 4628, 4497, 538, 6209, 5717, 1369, 891, 2516, 269, 4841, 262, 2702, 547, 11677, 543, 2671, 1018, 789, 1224, 568, 835, 2601, 585, 713, 3668, 540, 4901, 269, 9752, 1053, 547, 946, 795, 2714, 902, 1282, 5717, 786, 948, 2333, 741, 2949, 2542, 8223, 543, 6278, 269, 901, 2376, 2488, 3610, 609, 2081, 547, 1489, 1053, 262, 795, 2714, 902, 1282, 2542, 547, 4497, 538, 6209, 5717, 563, 763, 7335, 11819, 1107, 25067, 454, 13775, 281, 3967, 476, 272, 267, 476, 1001, 279, 454, 21292, 281, 6902, 6902, 6902, 6902, 6902, 6902, 6902, 476, 3248, 2005, 779, 707, 2582, 1747, 547, 14678, 454, 4134, 16225, 543, 1224, 519, 1382, 454, 7474, 6927, 547, 596, 563, 5319, 2809, 10097, 1569, 547, 454, 1478, 476, 1240, 2929, 4930, 689, 811, 982, 454, 1428, 267, 1822, 9263, 24595, 13746, 563, 5472, 585, 1175, 1269, 5392, 270, 24629, 454, 5226, 2044, 519, 12213, 291, 344, 557, 6538, 267, 7132, 3406, 782, 540, 32253, 543, 5616, 10104, 16900, 454, 24591, 1022, 2376, 610, 3406, 1267, 689, 12213, 291, 344, 557, 267, 32253, 267, 543, 5616, 10104, 1862, 782, 538, 835, 1747, 563, 7476, 19957, 267, 2228, 1569, 547, 936, 476, 1240, 2929, 2407, 17856, 4930, 689, 811, 982, 476, 1428, 267, 1822, 3621, 13746, 563, 5649, 689, 5215, 540, 519, 3056, 14046, 13746, 689, 22219, 26903, 267, 29021, 267, 25067, 5174, 331, 871, 6202, 267, 10228, 2160, 4964, 543, 811, 563, 5472, 519, 5767, 1543, 568, 2139, 267, 1100, 2377, 14417, 5712, 563, 2108, 17098, 16921, 267, 594, 3112, 2995, 596, 875, 1454, 594, 2648, 713, 4199, 269, 9214, 323, 1043, 269, 594, 2731, 3494, 596, 4312, 5734, 519, 17970, 593, 519, 2212, 609, 713, 3135, 538, 14621, 547, 6061, 519, 1382, 1790, 21332, 3390, 1848, 25405, 1408, 595, 563, 2108, 8005, 320, 256, 898, 779, 899, 20128, 1518, 855, 585, 4081, 4930, 1848, 287, 24589, 318, 21659, 747, 7596, 454, 14881, 1590, 2161, 267, 7711, 1372, 788, 11276, 557, 568, 513, 32263, 3070, 547, 519, 4830, 11001, 781, 1966, 540, 1948, 17739, 547, 1948, 15574, 1848, 287, 1372, 3704, 12685, 454, 2108, 7069, 2063, 2376, 7948, 1405, 581, 2009, 1510, 519, 3760, 7711, 1372, 788, 11276, 557, 602, 2306, 4760, 4574, 14949, 1848, 287, 297, 846, 306, 13996, 320, 0, 20091, 7338, 4132, 518, 779, 634, 12059, 25415, 281, 589, 3778, 540, 13303, 5125, 19595, 803, 513, 2603, 540, 2542, 634, 4414, 25035, 281, 589, 3778, 540, 4004, 1143, 269, 1452, 9490, 543, 3665, 20748, 1949, 3100, 2693, 547, 581, 552, 27238, 12790, 2507, 2863, 559, 789, 5749, 1406, 269, 634, 5326, 540, 4838, 568, 513, 14810, 2394, 621, 3884, 1406, 269, 634, 4232, 1369, 891, 7239, 267, 741, 606, 558, 773, 543, 8670, 1301, 3415, 267, 1223, 581, 13099, 1229, 936, 543, 26793, 585, 513, 942, 269, 1809, 519, 4838, 3576, 3597, 538, 3638, 3037, 6992, 1242, 676, 519, 9178, 543, 27394, 15727, 540, 519, 2025, 1931, 563, 14549, 1514, 543, 2686, 1949, 979, 998, 519, 12105, 1184, 538, 513, 16795, 6752, 269, 1809, 3833, 1419, 789, 1810, 1406, 269, 769, 1249, 267, 3379, 547, 6211, 1949, 594, 8910, 2161, 2686, 12105, 3157, 616, 811, 22357, 543, 2926, 534, 269, 1284, 949, 14487, 713, 547, 608, 18100, 28654, 267, 855, 609, 12042, 338, 697, 267, 649, 1419, 1294, 602, 972, 941, 1439, 18100, 6724, 4259, 519, 1062, 909, 547, 12900, 609, 519, 1101, 968, 335, 2313, 892, 689, 519, 3544, 610, 606, 6397, 4756, 563, 4517, 835, 540, 519, 1225, 3930, 885, 540, 3425, 568, 938, 12402, 547, 2226, 1857, 535, 11881, 782, 519, 1247, 6616, 602, 4357, 19178, 616, 1114, 269, 2060, 519, 14784, 540, 519, 476, 272, 560, 2540, 645, 5861, 1421, 1514, 19727, 267, 519, 4473, 540, 20422, 2178, 5443, 267, 621, 729, 2312, 547, 24319, 540, 519, 942, 602, 519, 4936, 6243, 729, 7210, 269, 634, 3803, 11802, 540, 31217, 543, 519, 1439, 540, 519, 968, 10517, 3016, 534, 892, 14784, 568, 1419, 13269, 607, 513, 8323, 585, 1034, 14564, 543, 741, 5396, 267, 609, 519, 9868, 540, 513, 1906, 18211, 4531, 1846, 945, 941, 14593, 883, 513, 17033, 1425, 850, 543, 30060, 1909, 563, 26170, 267, 519, 1857, 5708, 4797, 269, 31217, 28020, 729, 519, 968, 14140, 12504, 2223, 19036, 1186, 269, 634, 2165, 6650, 1807, 2968, 811, 24819, 609, 519, 12081, 540, 26751, 335, 22057, 513, 2540, 2663, 267, 607, 519, 4936, 7276, 16626, 689, 519, 2887, 540, 922, 1101, 10424, 15913, 269, 11048, 267, 519, 3029, 540, 519, 6243, 941, 9738, 5103, 519, 4641, 602, 7507, 1185, 1831, 606, 1313, 7100, 269, 8307, 1472, 476, 4968, 5084, 1705, 19036, 1186, 2887, 883, 771, 2224, 269, 4144, 665, 2280, 1014, 3459, 547, 14311, 946, 519, 2165, 2531, 19434, 269, 7083, 563, 8448, 1857, 535, 11881, 30174, 1256, 1287, 269, 634, 5604, 540, 931, 6160, 267, 799, 4266, 547, 4936, 840, 20931, 267, 729, 9738, 1524, 547, 519, 476, 277, 628, 2540, 589, 6185, 1421, 519, 12081, 540, 519, 3807, 15687, 269, 634, 2063, 540, 519, 4936, 2506, 30752, 14626, 1211, 958, 945, 8057, 909, 607, 513, 5065, 5824, 10584, 563, 11917, 16227, 267, 519, 12402, 4724, 1857, 535, 11881, 568, 711, 606, 31074, 540, 7507, 269, 1677, 513, 1390, 6708, 267, 25799, 3933, 1105, 625, 616, 1857, 535, 11881, 269, 1879, 1472, 476, 1220, 589, 6185, 269, 519, 17169, 20029, 574, 3780, 590, 1197, 639, 1705, 2476, 609, 519, 5708, 602, 519, 4031, 21892, 941, 6508, 689, 519, 786, 540, 519, 14130, 540, 7507, 267, 646, 1705, 2476, 609, 513, 2259, 602, 1185, 9738, 513, 14081, 534, 1795, 1228, 585, 5553, 269, 634, 28654, 543, 5208, 540, 519, 476, 274, 6113, 2540, 267, 950, 519, 4936, 1062, 3592, 25540, 267, 729, 519, 19420, 632, 11419, 269, 9282, 4144, 665, 2280, 1014, 543, 519, 4108, 900, 30752, 799, 3357, 1310, 1864, 941, 2760, 1582, 3613, 344, 1194, 15438, 267, 1813, 547, 519, 9184, 5622, 1472, 519, 2165, 538, 4936, 2486, 267, 741, 3029, 543, 25654, 941, 15110, 676, 519, 16313, 338, 540, 10120, 2342, 269, 634, 32689, 13862, 602, 5375, 619, 13498, 547, 581, 1486, 12111, 673, 540, 519, 1106, 568, 513, 4936, 18472, 729, 2442, 1242, 676, 519, 3141, 2914, 832, 327, 6235, 900, 30752, 540, 519, 3735, 476, 274, 6113, 2540, 269, 30486, 519, 24347, 622, 267, 513, 5114, 776, 945, 705, 1817, 1042, 519, 1007, 267, 1705, 2476, 609, 1082, 540, 519, 11440, 934, 4958, 687, 3773, 676, 1010, 2487, 21530, 25600, 267, 609, 782, 519, 533, 20234, 267, 16008, 543, 1350, 600, 528, 602, 602, 1303, 9229, 630, 2288, 1010, 12081, 729, 606, 32623, 1674, 538, 811, 2081, 982, 602, 607, 513, 581, 1563, 25384, 6460, 1040, 634, 14564, 2760, 1185, 15438, 267, 855, 4951, 15438, 875, 547, 581, 15438, 538, 6219, 543, 2511, 563, 1103, 519, 840, 21524, 1716, 1158, 267, 891, 535, 11881, 941, 3833, 14388, 269, 634, 31481, 15913, 30174, 5553, 1310, 621, 1100, 3476, 1185, 1022, 1379, 547, 3717, 540, 269, 634, 2806, 321, 817, 573, 2836, 13023, 338, 941, 6854, 607, 12470, 1115, 538, 631, 600, 1663, 330, 5527, 585, 476, 7742, 1296, 1354, 519, 16368, 21037, 269, 634, 8585, 8221, 1014, 15913, 779, 2063, 476, 1911, 1296, 729, 547, 581, 607, 12572, 12470, 1115, 585, 519, 561, 3581, 540, 519, 2605, 3471, 269, 634, 2063, 28753, 1023, 5030, 936, 513, 2540, 1310, 519, 1379, 540, 519, 15913, 267, 952, 711, 922, 1350, 600, 528, 267, 1185, 535, 12184, 689, 3965, 563, 763, 5837, 540, 519, 1650, 568, 602, 1857, 535, 11881, 666, 2063, 3833, 513, 3787, 3476, 982, 519, 4641, 689, 799, 789, 616, 838, 684, 269, 2060, 12042, 338, 697, 267, 519, 14784, 543, 771, 10517, 1393, 721, 22363, 538, 676, 519, 12081, 540, 2155, 21402, 5693, 6786, 519, 1439, 540, 519, 2025, 4936, 7276, 609, 922, 14081, 534, 535, 11881, 269, 1809, 602, 729, 711, 2312, 1287, 269, 634, 13855, 4797, 547, 14974, 267, 2394, 689, 519, 3544, 3046, 321, 12579, 28520, 538, 513, 21686, 540, 9470, 3429, 1216, 269, 8307, 1287, 1705, 519, 2960, 22019, 269, 1809, 519, 13855, 1185, 1279, 1044, 4666, 269, 0, 1103, 2487, 1296, 267, 519, 3504, 1623, 6798, 2670, 1063, 3425, 543, 741, 10130, 814, 9411, 513, 1007, 5123, 267, 6825, 676, 519, 24567, 4791, 20614, 540, 1480, 534, 2711, 3797, 269, 901, 1935, 3096, 519, 2078, 1063, 3425, 543, 741, 630, 10852, 569, 264, 27899, 10130, 547, 1489, 519, 2208, 540, 7553, 7939, 267, 1514, 1983, 267, 543, 2790, 1072, 538, 1453, 267, 31655, 267, 543, 4079, 269, 1809, 875, 616, 3425, 543, 2831, 2111, 547, 1020, 2673, 7554, 693, 782, 286, 1548, 2306, 621, 2009, 585, 2831, 547, 723, 513, 9354, 1198, 593, 3425, 286, 1656, 875, 666, 649, 1655, 946, 713, 1620, 538, 3662, 29374, 3797, 286, 769, 713, 2189, 1433, 267, 513, 2319, 540, 4274, 27563, 543, 16895, 11753, 543, 9192, 10427, 6211, 543, 5626, 1702, 547, 2626, 891, 2055, 269, 8625, 789, 723, 2813, 513, 3102, 267, 3621, 5748, 585, 1480, 12845, 2711, 3797, 267, 513, 5748, 602, 786, 7520, 519, 1646, 267, 6388, 267, 543, 6268, 540, 2500, 1007, 7459, 563, 5804, 519, 9115, 634, 12357, 2078, 1063, 3425, 543, 2831, 4208, 3425, 616, 8348, 543, 2111, 547, 9305, 547, 2831, 281, 519, 12105, 7350, 5133, 12186, 540, 1480, 12845, 2711, 5872, 593, 1072, 267, 1514, 5872, 267, 7099, 267, 14628, 8401, 1062, 267, 543, 10399, 25665, 540, 3347, 281, 519, 32687, 1599, 540, 3404, 12682, 665, 514, 3955, 26051, 1480, 3347, 281, 13613, 543, 11928, 1516, 4045, 532, 13613, 543, 11928, 1516, 609, 741, 12214, 4493, 5274, 12845, 2711, 3347, 281, 13613, 543, 11928, 1516, 20780, 532, 519, 22204, 1927, 281, 17550, 540, 13613, 543, 11928, 1516, 538, 1480, 12845, 2711, 3347, 19750, 6286, 585, 3797, 0, 2252, 596, 616, 3168, 585, 513, 1259, 547, 4688, 593, 5201, 3915, 267, 3314, 602, 538, 1840, 547, 1804, 14233, 267, 513, 1713, 1942, 666, 2097, 689, 713, 1826, 540, 8654, 538, 519, 1753, 269, 1403, 596, 616, 1869, 1210, 2025, 1769, 15620, 1651, 663, 27853, 630, 852, 19944, 4240, 264, 713, 568, 519, 1318, 942, 547, 5372, 873, 609, 1970, 20589, 1769, 15620, 267, 24638, 610, 10896, 269, 634, 9806, 616, 1202, 3293, 543, 519, 2698, 1942, 540, 519, 6718, 540, 891, 2472, 814, 8519, 538, 2487, 1296, 630, 1492, 1942, 540, 519, 10682, 568, 1287, 993, 677, 1242, 593, 519, 3915, 538, 513, 2110, 942, 1040, 4653, 649, 4142, 6510, 713, 2230, 1152, 547, 10896, 630, 23409, 661, 2466, 1154, 667, 1675, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25244, 538, 3210, 547, 11763, 13596, 563, 2005, 779, 1898, 547, 5469, 602, 16698, 568, 513, 4105, 513, 851, 540, 519, 4761, 1576, 540, 282, 621, 8383, 919, 543, 2036, 1846, 519, 2890, 11248, 610, 3644, 602, 4547, 593, 519, 606, 3968, 269, 21418, 16698, 267, 18562, 267, 5526, 547, 22009, 8650, 7929, 4191, 543, 2087, 519, 4960, 540, 1279, 3856, 2042, 610, 5160, 2800, 538, 7929, 5563, 267, 3226, 563, 763, 15060, 268, 274, 338, 689, 3165, 3282, 1404, 4105, 5107, 538, 1142, 513, 27357, 12982, 543, 4761, 3210, 267, 538, 1840, 547, 519, 2022, 19899, 1254, 11808, 540, 27357, 5160, 1685, 563, 5278, 7372, 2079, 8369, 723, 8810, 16501, 543, 667, 11190, 15060, 268, 274, 21455, 568, 7255, 538, 2362, 4093, 538, 891, 609, 10770, 610, 8650, 11763, 5761, 6381, 269, 589, 476, 1001, 279, 13849, 20400, 602, 7902, 883, 476, 2412, 19747, 267, 7307, 8062, 540, 15060, 268, 274, 338, 538, 26590, 28614, 5940, 816, 630, 2752, 9169, 264, 6381, 11943, 602, 9019, 10997, 538, 24412, 8391, 15060, 268, 274, 338, 1185, 1044, 3368, 602, 540, 24412, 711, 8391, 15060, 268, 274, 338, 607, 513, 851, 540, 741, 3797, 269, 15845, 689, 513, 4130, 6218, 729, 1454, 1447, 2312, 563, 13146, 2079, 538, 8983, 9672, 602, 15202, 6675, 6508, 689, 16501, 543, 667, 11190, 15060, 268, 274, 338, 1185, 1044, 5827, 540, 6991, 909, 519, 3375, 540, 5761, 16698, 1739, 16415, 606, 3968, 563, 22818, 1034, 8716, 568, 2079, 27109, 602, 16501, 543, 667, 11190, 24705, 5383, 547, 891, 609, 2166, 10973, 27470, 267, 835, 540, 519, 2629, 27676, 10770, 5761, 6381, 602, 5222, 22024, 7592, 543, 4492, 14595, 1369, 519, 9641, 563, 21206, 2564, 2079, 568, 25093, 547, 1382, 1114, 4761, 13611, 1110, 6819, 2164, 540, 3165, 268, 11798, 8192, 9360, 630, 339, 6320, 609, 6171, 667, 264, 607, 606, 22237, 267, 15324, 3797, 547, 2759, 1394, 519, 11841, 543, 10335, 540, 1028, 9285, 5761, 6381, 267, 1927, 609, 16415, 267, 30189, 267, 543, 19357, 658, 10447, 563, 763, 8969, 1652, 3608, 9570, 281, 476, 273, 267, 6110, 16936, 540, 2347, 16501, 1341, 667, 11190, 829, 1554, 269, 2859, 1223, 849, 581, 4941, 1759, 6140, 593, 15060, 268, 277, 9761, 3679, 4616, 269, 630, 5649, 3063, 281, 634, 26102, 18696, 8094, 24791, 667, 568, 513, 3170, 30320, 6171, 543, 9449, 24888, 602, 938, 26430, 666, 3132, 950, 20114, 547, 25685, 9424, 540, 11158, 289, 5982, 689, 21765, 269, 898, 814, 513, 1297, 540, 1898, 5107, 585, 2698, 1134, 1373, 267, 1927, 609, 5885, 5642, 543, 9025, 1134, 1373, 267, 19697, 267, 543, 4761, 1685, 563, 8802, 8973, 4761, 1685, 267, 6171, 667, 2337, 17916, 12046, 676, 1802, 1424, 21734, 5946, 602, 4217, 4336, 1394, 519, 7872, 540, 3644, 610, 2890, 11248, 3468, 532, 938, 2281, 282, 621, 568, 2356, 7255, 538, 13261, 630, 3250, 24975, 264, 12046, 676, 5885, 513, 27357, 16698, 3210, 563, 18128, 2064, 5267, 25685, 6171, 667, 2337, 9718, 538, 11685, 547, 8290, 4947, 883, 2281, 1369, 519, 7929, 8778, 543, 2337, 2149, 1947, 10038, 519, 12982, 4761, 3210, 952, 5761, 5160, 568, 13572, 267, 23646, 519, 11200, 547, 1114, 2281, 563, 2026, 2370, 607, 476, 736, 3764, 540, 29869, 3859, 32398, 540, 519, 3068, 267, 11263, 267, 543, 7916, 609, 856, 7863, 24429, 1223, 849, 581, 6190, 547, 1491, 1416, 540, 27357, 6171, 667, 9832, 267, 13461, 593, 519, 942, 540, 476, 1321, 3275, 267, 20173, 267, 543, 1880, 1268, 2960, 1790, 580, 7695, 7592, 563, 17829, 23493, 538, 7187, 4234, 6421, 630, 333, 2180, 540, 24611, 267, 12821, 1421, 585, 3236, 264, 610, 891, 609, 18632, 22405, 543, 2960, 6477, 7695, 1223, 2154, 3063, 11158, 289, 32398, 547, 1491, 1416, 540, 25685, 6171, 5937, 9832, 563, 291, 2884, 776, 6171, 667, 1223, 581, 10057, 689, 9761, 3165, 267, 14132, 6797, 267, 4212, 586, 565, 802, 267, 610, 513, 3099, 540, 25167, 6980, 267, 1498, 621, 779, 12303, 711, 2009, 547, 12492, 19993, 6171, 667, 9832, 9003, 676, 1797, 540, 2597, 3146, 9134, 1544, 563, 5415, 982, 3368, 519, 1158, 779, 11317, 568, 4057, 538, 6171, 667, 267, 543, 607, 1454, 607, 476, 3199, 4939, 540, 519, 2136, 2276, 11317, 1223, 723, 9832, 896, 19993, 630, 327, 27941, 982, 476, 2412, 23356, 270, 6447, 1916, 3080, 19747, 4693, 14236, 519, 1764, 540, 7110, 532, 609, 476, 276, 267, 1822, 296, 308, 630, 10219, 32508, 326, 264, 540, 6171, 667, 274, 829, 1554, 585, 476, 1691, 4374, 538, 9845, 9672, 891, 3478, 6171, 667, 274, 11506, 5663, 543, 21131, 540, 21734, 30902, 543, 5946, 267, 799, 4217, 4336, 1394, 18687, 547, 2362, 7929, 5563, 563, 288, 476, 1001, 278, 13849, 20400, 540, 6171, 5937, 21455, 585, 6604, 540, 8650, 7929, 5563, 11943, 6171, 5937, 21455, 1175, 3884, 1406, 9003, 5150, 267, 855, 621, 15983, 10123, 14014, 538, 11685, 547, 8650, 7929, 8778, 5563, 269, 23527, 945, 1185, 1044, 1034, 4057, 543, 1004, 945, 1185, 1044, 2921, 1142, 1554, 6171, 5937, 13066, 513, 1297, 540, 8320, 2799, 982, 519, 28251, 2026, 7902, 547, 1451, 9247, 519, 1034, 563, 5278, 3173, 8044, 602, 4505, 6169, 540, 16268, 2164, 540, 6171, 5937, 21455, 593, 1114, 10194, 3676, 267, 2147, 547, 14798, 267, 8480, 621, 1522, 4217, 4336, 1394, 8594, 540, 5046, 268, 866, 606, 3968, 543, 2530, 540, 1272, 269, 634, 4661, 814, 6190, 1379, 543, 9153, 602, 2564, 8062, 616, 2907, 25093, 267, 7488, 540, 519, 5046, 268, 866, 12176, 1373, 865, 1699, 563, 12024, 569, 3608, 9570, 281, 476, 276, 267, 1822, 296, 308, 630, 10219, 32508, 326, 264, 1142, 1554, 540, 6171, 667, 274, 609, 6171, 918, 273, 563, 300, 1725, 10901, 568, 606, 1271, 7777, 602, 779, 7255, 538, 9748, 540, 540, 10894, 6547, 2404, 547, 938, 1134, 1373, 269, 8616, 1082, 2043, 3111, 547, 6414, 1836, 3548, 25685, 9424, 540, 13101, 540, 741, 11326, 267, 543, 513, 1297, 540, 824, 7678, 344, 1259, 540, 1272, 3334, 610, 5061, 630, 26078, 5524, 610, 936, 7308, 23716, 264, 1312, 2087, 13101, 29476, 267, 27298, 13101, 10338, 267, 543, 5924, 9594, 3063, 13101, 608, 17917, 563, 763, 20923, 6980, 2959, 540, 13101, 616, 22481, 5452, 267, 21364, 538, 23024, 27624, 16719, 267, 10365, 267, 22053, 267, 543, 3003, 9274, 563, 8802, 8973, 4761, 1606, 2448, 1685, 267, 13101, 568, 2629, 585, 519, 2680, 543, 18735, 540, 9726, 14231, 630, 320, 1826, 540, 3043, 1973, 1591, 264, 543, 2337, 2953, 1591, 24975, 4761, 3210, 269, 898, 10123, 5713, 4550, 13611, 7207, 799, 949, 581, 3226, 3730, 2429, 8650, 3676, 269, 630, 9616, 281, 1703, 10093, 1406, 1044, 1022, 2564, 8062, 593, 13101, 585, 6604, 610, 3797, 540, 5046, 268, 866, 3226, 8094, 7197, 1617, 643, 9559, 8192, 9360, 1331, 16283, 9424, 540, 13101, 607, 513, 1267, 540, 621, 779, 513, 524, 13246, 727, 7777, 602, 3217, 909, 513, 2462, 7274, 540, 2777, 1369, 519, 1062, 267, 865, 621, 779, 3335, 19624, 607, 513, 2417, 267, 1796, 29671, 9148, 563, 763, 8969, 1652, 3608, 9570, 281, 476, 1220, 547, 476, 4968, 16936, 835, 547, 476, 273, 8320, 1142, 1554, 563, 288, 1713, 513, 851, 540, 938, 17916, 12046, 2443, 3114, 543, 22024, 17011, 2443, 5673, 593, 11747, 3635, 547, 18448, 543, 9243, 1125, 11763, 13596, 269, 634, 26430, 7472, 922, 2123, 9667, 11476, 547, 7520, 12536, 543, 10338, 540, 6980, 543, 8324, 563, 4322, 11476, 1599, 606, 1898, 1899, 540, 4027, 538, 11685, 547, 32415, 13596, 799, 786, 1118, 741, 1797, 883, 938, 938, 4703, 676, 1797, 540, 519, 6980, 649, 3548, 563, 5978, 6986, 11747, 5663, 543, 3635, 1223, 581, 21022, 267, 18562, 267, 18284, 513, 1297, 540, 7839, 6381, 267, 1927, 609, 1210, 1884, 659, 1749, 267, 23442, 6802, 20127, 267, 610, 715, 6347, 31312, 282, 7928, 610, 6905, 15084, 946, 282, 4057, 13101, 7555, 282, 13385, 3940, 4616, 610, 10338, 282, 543, 10770, 2566, 563, 21618, 540, 8519, 9667, 11747, 1198, 2032, 3769, 26533, 267, 30724, 3878, 267, 17406, 267, 1517, 4221, 267, 22522, 15108, 3270, 267, 543, 3768, 580, 6479, 6980, 5536, 538, 588, 8962, 563, 11045, 2211, 531, 9667, 11476, 3622, 568, 513, 1360, 5363, 513, 851, 540, 2698, 1134, 1373, 543, 12046, 1142, 14678, 543, 711, 2047, 281, 1358, 4217, 9243, 1125, 1761, 13596, 4505, 982, 789, 3444, 676, 1797, 540, 7863, 9465, 540, 519, 16063, 8778, 267, 543, 4217, 2362, 6171, 543, 7777, 7555, 676, 1797, 540, 4824, 12536, 543, 10338, 540, 8324, 563, 763, 8969, 1652, 3608, 9570, 281, 901, 9775, 676, 1880, 1268, 267, 2705, 835, 547, 476, 273, 29893, 540, 513, 3376, 1606, 1051, 5300, 1062, 267, 2147, 547, 6226, 24304, 2037, 10405, 13216, 267, 609, 1169, 7123, 6980, 7594, 1223, 849, 581, 5363, 563, 21206, 21210, 4149, 6269, 677, 633, 4675, 6123, 454, 19741, 891, 13654, 8324, 543, 11476, 267, 972, 779, 13907, 540, 6169, 11021, 2417, 8324, 610, 27386, 2609, 1223, 3761, 3606, 4761, 4217, 563, 24791, 595, 568, 513, 1216, 30320, 1271, 8770, 649, 723, 547, 3548, 676, 1797, 540, 2597, 3146, 9134, 1544, 543, 5924, 21455, 269, 898, 568, 1898, 585, 519, 7293, 8699, 540, 938, 22405, 543, 2960, 543, 22024, 17011, 267, 543, 568, 4105, 585, 513, 1297, 540, 3157, 7255, 538, 1591, 24975, 12046, 269, 898, 1522, 849, 2087, 17193, 5663, 543, 4217, 13104, 538, 11685, 547, 1863, 268, 2784, 673, 2800, 2404, 547, 16698, 2429, 5563, 563, 3412, 332, 2317, 2281, 18645, 6171, 595, 693, 9832, 513, 1297, 540, 8320, 2799, 982, 538, 1973, 2281, 269, 1452, 7050, 9830, 540, 6171, 595, 538, 9726, 14231, 543, 6120, 5268, 2812, 723, 1044, 8810, 547, 1685, 538, 1079, 4105, 2409, 912, 268, 12192, 595, 4667, 547, 4217, 519, 4761, 2281, 3132, 7250, 25681, 267, 799, 3954, 2137, 519, 4719, 2326, 540, 519, 2890, 11248, 610, 3644, 267, 16069, 18643, 563, 268, 12192, 595, 779, 15934, 12588, 14014, 4761, 2281, 689, 519, 7920, 9832, 540, 19842, 2566, 2813, 950, 4761, 2281, 14213, 2890, 11248, 543, 8290, 563, 1103, 1523, 267, 621, 779, 26483, 3551, 547, 14183, 519, 681, 6395, 585, 6171, 595, 630, 12671, 476, 2568, 16936, 27473, 264, 676, 10438, 11350, 18717, 267, 20521, 4829, 267, 22282, 267, 15708, 267, 543, 29761, 28667, 269, 1717, 267, 5986, 891, 6980, 666, 6861, 6171, 595, 543, 6169, 5267, 693, 519, 2547, 476, 1220, 16936, 829, 1554, 1223, 849, 581, 4941, 547, 5688, 958, 4217, 519, 4761, 1062, 563, 15703, 1382, 1459, 6171, 595, 21455, 693, 13066, 4358, 689, 476, 272, 267, 1822, 547, 5216, 267, 1822, 16936, 829, 1554, 1223, 4217, 4336, 1394, 519, 1974, 267, 2705, 711, 519, 4908, 540, 267, 2362, 7929, 5563, 269, 21452, 267, 519, 5383, 9003, 1413, 899, 1699, 950, 519, 8192, 9360, 616, 3144, 4356, 1302, 267, 8957, 1310, 12614, 540, 606, 19210, 267, 543, 9003, 538, 2043, 945, 5721, 4122, 563, 288, 476, 1001, 280, 13849, 20400, 4362, 602, 1164, 1673, 846, 5711, 543, 32326, 630, 4353, 264, 6171, 595, 16185, 1223, 4336, 1394, 519, 2450, 540, 14021, 1416, 1770, 630, 2975, 308, 264, 13978, 543, 2110, 523, 519, 2450, 540, 942, 9691, 513, 4979, 24412, 1590, 581, 593, 5887, 559, 1807, 4217, 563, 5194, 1699, 1507, 4693, 540, 10001, 6171, 595, 16185, 538, 9691, 513, 4979, 24412, 609, 8121, 9169, 9672, 602, 24412, 8391, 7050, 13066, 540, 6171, 595, 12499, 1597, 3585, 1185, 7864, 2042, 543, 14320, 6175, 9019, 10997, 563, 2467, 779, 10123, 5571, 2079, 883, 1164, 1673, 846, 10001, 6171, 595, 16185, 538, 5046, 268, 866, 24412, 267, 4352, 621, 779, 20866, 2219, 540, 606, 8097, 3797, 543, 3884, 1406, 855, 3710, 2987, 883, 22232, 1416, 31452, 563, 763, 8969, 1652, 3608, 9570, 281, 476, 1220, 16936, 829, 1554, 585, 27357, 4761, 1685, 282, 476, 272, 267, 1822, 16936, 607, 1454, 607, 5216, 8320, 1142, 1554, 1223, 4217, 4336, 1394, 519, 1974, 540, 2362, 7929, 19210, 563, 23536, 8438, 8192, 9360, 616, 2959, 540, 14471, 602, 949, 6521, 519, 15451, 8669, 1465, 540, 938, 6175, 8937, 269, 589, 1699, 13849, 20400, 9672, 602, 32714, 21455, 8519, 519, 11841, 540, 2362, 7929, 5563, 630, 7838, 3674, 264, 676, 10199, 3368, 267, 27571, 772, 6020, 1974, 676, 10199, 1079, 2395, 267, 543, 8519, 15084, 13310, 10997, 563, 763, 8969, 1652, 3608, 9570, 281, 12824, 616, 3274, 31153, 519, 6989, 540, 1620, 799, 12490, 540, 2890, 11248, 616, 1034, 3730, 547, 1169, 1880, 1268, 267, 865, 519, 4990, 543, 9424, 540, 12733, 268, 14127, 3688, 630, 20003, 5825, 264, 547, 3406, 585, 538, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 786, 6157, 2097, 909, 609, 513, 1390, 1257, 563, 290, 2761, 532, 513, 10388, 4633, 602, 786, 7001, 543, 11677, 519, 3007, 540, 707, 5304, 666, 581, 3833, 513, 4161, 269, 1809, 596, 1810, 1405, 723, 547, 798, 621, 4805, 269, 1635, 2324, 609, 14430, 302, 342, 331, 2593, 2073, 596, 666, 3362, 1711, 513, 10388, 4633, 602, 781, 1312, 2500, 543, 1134, 268, 23457, 269, 1284, 3513, 581, 609, 596, 1169, 1900, 540, 519, 1259, 267, 689, 4947, 909, 609, 513, 8903, 4661, 547, 12419, 519, 4633, 609, 6015, 563, 24078, 713, 2376, 5363, 888, 12552, 585, 707, 5955, 563, 30267, 269, 27692, 23183, 454, 296, 4076, 5249, 585, 519, 2250, 5216, 1296, 607, 513, 1543, 9375, 267, 3860, 5856, 267, 543, 3318, 1557, 5856, 269, 5272, 1554, 267, 594, 960, 2182, 547, 1118, 2386, 1250, 7218, 616, 13854, 609, 519, 3785, 543, 4574, 594, 2328, 585, 873, 269, 3733, 2127, 540, 6791, 616, 2647, 267, 8151, 689, 10017, 543, 24205, 547, 11572, 3163, 543, 2622, 3778, 563, 5649, 619, 849, 10150, 454, 11900, 3187, 781, 3391, 875, 547, 25588, 2490, 527, 514, 563, 22923, 9669, 476, 11011, 15055, 454, 16446, 1495, 3599, 538, 5675, 281, 6651, 593, 2672, 764, 3307, 569, 5675, 454, 22923, 9669, 476, 6507, 15055, 454, 19352, 3776, 26449, 769, 2659, 13574, 13910, 630, 9209, 26269, 994, 22923, 9669, 476, 5038, 15055, 454, 310, 14176, 26146, 3951, 286, 12813, 19781, 4888, 10758, 29308, 681, 20846, 715, 8582, 2336, 8245, 2952, 6445, 856, 519, 1106, 267, 4945, 519, 7735, 267, 543, 723, 1100, 19048, 2336, 3393, 275, 29480, 16594, 11762, 281, 14168, 267, 8342, 267, 1299, 2552, 7337, 658, 14313, 585, 4841, 454, 9336, 1554, 267, 649, 1711, 543, 8532, 10388, 6835, 269, 1280, 1383, 267, 950, 649, 8044, 827, 1018, 7260, 547, 4585, 610, 1141, 547, 979, 593, 519, 15964, 269, 1809, 875, 1419, 798, 649, 23249, 547, 2015, 875, 649, 1106, 938, 7440, 610, 13498, 519, 3283, 649, 5873, 689, 1866, 286, 5398, 6340, 593, 10388, 3584, 2488, 721, 519, 4960, 547, 798, 865, 563, 25324, 24070, 18531, 798, 711, 1217, 519, 5304, 593, 519, 3390, 855, 2864, 18609, 873, 547, 1491, 2962, 610, 1689, 741, 8456, 269, 769, 713, 2376, 267, 649, 3580, 1865, 519, 2497, 540, 519, 10388, 4633, 269, 1411, 3580, 849, 1265, 1082, 8903, 3584, 585, 1857, 6340, 602, 666, 2097, 538, 13561, 543, 18663, 519, 5304, 547, 1689, 2336, 6930, 498, 507, 5440, 476, 1015, 29480, 16594, 11762, 538, 476, 1708, 274, 454, 27077, 491, 20804, 10388, 4633, 7291, 267, 9462, 502, 488, 2653, 10388, 4633, 3584, 563, 268, 9462, 492, 496, 16594, 11762, 585, 4400, 3427, 454, 268, 9462, 492, 497, 16594, 11762, 585, 5441, 454, 414, 511, 494, 6153, 29480, 16594, 11762, 454, 6930, 496, 488, 2564, 10388, 4633, 3584, 563, 268, 9462, 491, 481, 7025, 16594, 11762, 454, 414, 504, 500, 20804, 19078, 29480, 16594, 11762, 454, 414, 508, 350, 20804, 1966, 3070, 10388, 4633, 3584, 267, 9462, 502, 506, 16168, 10388, 4633, 3584, 267, 29836, 498, 11786, 10388, 4633, 3584, 267, 9462, 497, 507, 10388, 1557, 3584, 267, 2340, 507, 497, 10388, 4633, 3655, 336, 267, 9462, 498, 501, 8100, 563, 268, 4208, 1058, 2486, 3398, 519, 3642, 4838, 888, 268, 5131, 2069, 1058, 581, 3015, 547, 3025, 563, 268, 4317, 2923, 5222, 1514, 2623, 563, 268, 11846, 1058, 581, 513, 851, 540, 1453, 779, 1272, 563, 268, 634, 2669, 15163, 1058, 581, 666, 576, 1194, 563, 268, 22960, 543, 2511, 7866, 519, 6418, 1158, 540, 519, 1268, 563, 268, 5272, 2197, 1058, 723, 1930, 10665, 563, 268, 24635, 6162, 616, 29279, 547, 17749, 543, 10965, 777, 23298, 563, 268, 3752, 334, 2951, 568, 519, 1655, 1505, 547, 2263, 13951, 563, 268, 9701, 3610, 4001, 3214, 538, 1647, 1153, 827, 3023, 888, 22013, 1853, 532, 10388, 18531, 568, 711, 602, 2653, 269, 898, 2356, 3340, 9488, 7041, 543, 15826, 1785, 1005, 547, 6655, 707, 5048, 5693, 543, 18663, 519, 5304, 547, 1118, 513, 1847, 269, 1284, 723, 5423, 513, 2143, 7291, 547, 948, 596, 1711, 606, 2500, 10388, 4633, 269, 6744, 856, 519, 3349, 2630, 547, 1451, 922, 1883, 3334, 2336, 268, 14559, 3112, 4444, 2648, 543, 14017, 563, 268, 14451, 2069, 1058, 581, 1863, 585, 3025, 4586, 268, 6732, 2792, 568, 1732, 982, 22356, 563, 268, 4841, 1058, 711, 5957, 519, 7833, 4586, 268, 2422, 540, 1591, 11436, 1247, 6117, 1058, 581, 17049, 4586, 268, 8479, 9094, 1058, 2463, 741, 22242, 563, 268, 4208, 1058, 14084, 581, 17049, 888, 268, 22985, 7365, 1058, 711, 581, 3656, 4586, 268, 8682, 625, 538, 15805, 6753, 1058, 581, 3454, 539, 563, 268, 25515, 568, 1732, 538, 946, 982, 15692, 4586, 268, 9701, 519, 5313, 2229, 3656, 1125, 519, 946, 540, 17089, 15017, 268, 13834, 1058, 711, 2339, 538, 519, 5026, 2872, 4586, 268, 4208, 1058, 1004, 3935, 1125, 9370, 15017, 268, 4208, 1058, 1482, 20967, 7365, 581, 513, 2343, 15017, 268, 4658, 1058, 3643, 24782, 1896, 2053, 829, 1032, 563, 268, 12409, 5238, 1058, 3895, 13784, 4586, 268, 9701, 7239, 20818, 1395, 690, 18081, 15017, 268, 24601, 616, 1732, 982, 6296, 1272, 563, 268, 6490, 525, 616, 513, 2656, 1259, 547, 6505, 523, 909, 519, 7099, 563, 268, 4208, 3425, 1058, 711, 3643, 9370, 4586, 268, 5510, 2400, 24668, 1058, 581, 24193, 563, 268, 13957, 743, 889, 6883, 568, 513, 3653, 540, 942, 563, 268, 570, 16201, 657, 1058, 581, 2808, 5386, 1148, 4586, 268, 4208, 1058, 19343, 607, 519, 2680, 581, 666, 576, 1194, 888, 268, 589, 1434, 2631, 540, 9644, 2337, 1118, 1007, 29872, 1734, 563, 268, 4208, 28245, 1058, 2057, 2797, 3584, 4586, 268, 4208, 1281, 942, 1780, 5488, 593, 16314, 888, 268, 5020, 6818, 1310, 2669, 563, 268, 4208, 28245, 1058, 581, 513, 27168, 1909, 2203, 4586, 268, 966, 12686, 1058, 581, 17049, 538, 1857, 4025, 563, 6930, 492, 496, 29480, 16594, 11762, 585, 4400, 3427, 454, 268, 25441, 513, 32283, 518, 1058, 581, 10363, 563, 268, 9701, 3237, 838, 1678, 741, 1453, 15017, 268, 808, 20454, 344, 30001, 782, 2010, 540, 3347, 563, 268, 28540, 2858, 1588, 4249, 513, 4105, 1909, 538, 519, 2324, 1184, 563, 268, 9701, 649, 6615, 519, 5769, 6165, 676, 1453, 15017, 268, 4208, 12582, 1406, 3237, 3196, 741, 3214, 547, 979, 547, 5939, 888, 268, 9540, 4213, 1058, 581, 6870, 676, 1876, 563, 268, 9701, 2475, 1857, 3506, 723, 513, 3476, 1032, 15017, 268, 4208, 616, 2228, 5816, 7970, 6225, 547, 2486, 888, 268, 15083, 940, 513, 1870, 5012, 1004, 547, 1745, 24949, 543, 9678, 563, 268, 16989, 1453, 1058, 1489, 11361, 3237, 4586, 268, 11670, 1058, 581, 1031, 607, 3656, 9304, 563, 268, 5303, 3085, 1406, 1118, 721, 27823, 563, 268, 4208, 596, 1058, 711, 723, 9344, 538, 1153, 4586, 268, 4208, 1058, 519, 2669, 15163, 1869, 581, 1031, 607, 513, 10751, 888, 268, 4658, 1058, 4444, 1152, 3167, 6472, 4586, 268, 595, 7837, 12076, 9755, 1058, 581, 19275, 4586, 268, 8866, 896, 519, 2085, 540, 476, 1724, 1058, 723, 606, 476, 279, 6751, 1225, 325, 1168, 4586, 268, 17318, 30468, 1996, 3109, 1004, 1058, 581, 27052, 563, 268, 595, 839, 11208, 3390, 281, 2835, 1058, 2760, 581, 17049, 4586, 268, 4658, 1058, 723, 12348, 547, 581, 13854, 609, 1272, 563, 268, 11109, 513, 1909, 2203, 568, 1898, 585, 3586, 1582, 21553, 2889, 22777, 563, 268, 4208, 1058, 7365, 581, 1759, 593, 2648, 543, 711, 11231, 15017, 268, 4208, 568, 5876, 2629, 538, 519, 590, 12613, 2872, 15017, 268, 634, 8569, 585, 1455, 8017, 1058, 581, 8519, 563, 268, 4208, 1058, 4720, 581, 6026, 538, 3506, 15017, 268, 12020, 11151, 22876, 2858, 1588, 563, 268, 23016, 547, 2575, 1247, 6117, 11081, 519, 2557, 540, 1286, 26301, 563, 268, 2296, 1893, 6267, 1058, 581, 27153, 538, 2296, 4586, 268, 20769, 23065, 1058, 581, 10363, 267, 519, 1482, 607, 13989, 543, 8732, 16394, 563, 6930, 492, 497, 29480, 16594, 11762, 585, 5441, 454, 268, 634, 2229, 1058, 1491, 3978, 3800, 547, 2061, 519, 3390, 540, 1126, 27127, 2762, 4586, 268, 9701, 30963, 1453, 581, 8120, 547, 741, 5321, 15017, 268, 2037, 768, 748, 6995, 4616, 666, 2014, 4160, 610, 11784, 6285, 563, 268, 634, 1614, 6377, 32300, 666, 2333, 960, 7607, 4586, 268, 2353, 7128, 10492, 1058, 5957, 513, 1560, 8254, 4586, 268, 4208, 1257, 532, 593, 519, 4155, 568, 519, 3056, 2014, 540, 1286, 10913, 888, 268, 634, 1297, 540, 18537, 593, 519, 3915, 15236, 1058, 581, 2759, 563, 268, 9701, 1857, 22063, 723, 519, 1318, 547, 10880, 15017, 268, 22640, 607, 519, 2229, 2497, 814, 513, 2603, 540, 25354, 563, 268, 14579, 5351, 689, 519, 2136, 2276, 1058, 2832, 547, 1489, 2518, 4708, 563, 268, 4208, 5104, 32596, 1058, 581, 6836, 607, 4079, 4586, 268, 10500, 3305, 894, 2962, 1058, 581, 3144, 547, 2699, 816, 3140, 543, 3824, 11712, 16526, 563, 268, 634, 2229, 1058, 3895, 519, 3262, 540, 22497, 3506, 4586, 268, 9701, 8732, 16394, 581, 3656, 538, 7147, 15017, 268, 634, 4563, 22032, 17460, 3350, 814, 5129, 513, 4105, 1909, 538, 7303, 15500, 14397, 5208, 563, 268, 5046, 268, 866, 10074, 1058, 581, 16601, 547, 2149, 1004, 693, 1981, 563, 268, 9701, 3237, 723, 519, 1318, 547, 3442, 741, 1453, 1759, 593, 11976, 15017, 268, 18726, 4702, 666, 581, 1031, 585, 519, 2126, 540, 4719, 3676, 563, 268, 6519, 18541, 1058, 581, 666, 576, 1194, 563, 268, 9701, 15963, 581, 17049, 689, 2852, 3786, 4926, 15017, 268, 4208, 1281, 6296, 1118, 1004, 1745, 8902, 543, 811, 17615, 888, 268, 5253, 7375, 723, 519, 1379, 547, 1921, 1004, 1472, 519, 1158, 563, 268, 15706, 1058, 711, 581, 4847, 547, 6133, 741, 1560, 8219, 4586, 268, 15474, 6689, 8823, 1404, 513, 2629, 1909, 538, 513, 1268, 779, 1646, 563, 268, 3962, 1367, 1058, 723, 513, 2631, 540, 3483, 563, 268, 9701, 5351, 547, 3384, 2477, 581, 11074, 15017, 268, 27079, 3354, 1058, 581, 513, 10862, 538, 4180, 3084, 3106, 563, 268, 26184, 4365, 12469, 616, 519, 4539, 540, 2518, 8337, 563, 268, 9701, 649, 7048, 593, 3750, 2914, 5893, 16499, 23888, 547, 2697, 6760, 1606, 639, 11072, 15017, 268, 4208, 1281, 7311, 24429, 2569, 519, 4220, 540, 2960, 2860, 15017, 15371, 596, 1616, 547, 1689, 519, 6644, 540, 707, 5304, 610, 18663, 873, 547, 2962, 267, 1934, 616, 930, 4241, 543, 2219, 4538, 3584, 602, 616, 3501, 585, 10388, 18531, 912, 268, 5729, 15778, 1153, 568, 1732, 585, 4081, 1967, 4586, 268, 9701, 4081, 9740, 581, 513, 3119, 6161, 585, 2852, 16075, 15017, 268, 634, 946, 540, 8093, 10173, 1058, 581, 17049, 547, 3247, 2518, 8337, 563, 268, 634, 6704, 2085, 1058, 581, 6659, 547, 476, 1839, 1296, 2025, 563, 268, 4208, 1058, 17089, 581, 3656, 1242, 543, 11523, 610, 25933, 2611, 10363, 15017, 268, 2806, 10407, 1058, 581, 3656, 1242, 693, 519, 5313, 1377, 563, 268, 4208, 568, 513, 2178, 1647, 1362, 2629, 547, 2804, 1646, 888, 268, 9701, 1514, 8155, 1689, 693, 519, 1490, 1074, 540, 519, 1007, 5736, 15017, 268, 29277, 619, 1058, 581, 4847, 547, 8917, 1310, 1373, 4203, 26860, 563, 268, 15329, 550, 3381, 3756, 3895, 10728, 2623, 538, 14038, 563, 268, 4208, 1058, 13032, 625, 581, 30461, 689, 1153, 15017, 268, 14268, 1058, 711, 3950, 519, 4087, 540, 741, 1453, 563, 268, 4208, 568, 4655, 2556, 585, 1689, 538, 513, 2078, 888, 268, 25530, 2085, 1058, 581, 22485, 547, 476, 1240, 1296, 4586, 268, 634, 5777, 540, 14453, 5061, 1058, 581, 10097, 585, 22242, 563, 25324, 24070, 16594, 11762, 827, 8535, 454, 268, 5272, 1268, 945, 814, 1434, 6217, 949, 2206, 563, 268, 5494, 639, 2581, 540, 1946, 649, 1058, 1832, 13047, 26650, 4586, 268, 4208, 1281, 8106, 2575, 1869, 1404, 513, 4105, 1909, 538, 2575, 1148, 888, 268, 634, 18405, 540, 513, 5152, 1058, 29360, 4664, 538, 519, 5304, 563, 268, 13751, 1944, 1863, 28085, 540, 2575, 543, 9413, 4586, 268, 8535, 568, 606, 2500, 1259, 547, 5968, 609, 519, 13999, 563, 268, 623, 597, 908, 2575, 568, 513, 4049, 8594, 547, 519, 2197, 779, 4346, 563, 268, 2052, 2575, 581, 606, 19349, 547, 2069, 15017, 268, 14943, 2575, 814, 513, 3983, 3310, 593, 1004, 779, 2623, 563, 268, 8535, 1058, 581, 606, 19671, 547, 2318, 4664, 563, 268, 1215, 1281, 2575, 12927, 11475, 15017, 268, 14576, 338, 609, 10795, 18405, 1058, 581, 17049, 585, 14038, 896, 476, 1240, 563, 268, 8535, 814, 519, 1761, 547, 581, 519, 1034, 2500, 3797, 585, 2790, 10108, 563, 268, 6496 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1699, 267, 799, 3123, 621, 547, 8095, 543, 4412, 601, 519, 1286, 4464, 563, 25821, 6517, 616, 4742, 5051, 2442, 543, 519, 2029, 3297, 873, 568, 7683, 9687, 269, 769, 519, 2282, 2104, 267, 3167, 6517, 616, 2693, 547, 723, 3476, 9832, 267, 5488, 12123, 2053, 543, 811, 3532, 16546, 269, 23996, 2220, 6260, 2029, 568, 849, 2693, 547, 1831, 811, 28125, 267, 3850, 10256, 547, 3362, 6467, 856, 741, 9075, 585, 513, 4628, 7302, 20149, 835, 563, 763, 2029, 3297, 3167, 6517, 568, 7683, 9687, 267, 543, 972, 616, 2907, 930, 3078, 7760, 602, 616, 4543, 547, 1118, 3167, 6517, 1256, 811, 10694, 269, 3245, 519, 6007, 2029, 547, 519, 27532, 29584, 543, 3167, 5179, 267, 3167, 6517, 616, 14095, 609, 5499, 4066, 602, 1118, 873, 606, 3078, 4781, 269, 1306, 3167, 1286, 2029, 5170, 547, 11457, 267, 789, 616, 2693, 547, 1831, 1256, 811, 2442, 563, 290, 20975, 293, 3985, 1299, 3557, 8889, 12601, 5303, 1299, 11627, 725, 19968, 5004, 12709, 12601, 932, 1173, 532, 307, 525, 5055, 667, 31034, 25821, 2961, 769, 1417, 1161, 15239, 6874, 525, 5055, 667, 31034, 21328, 276, 5455, 30098, 25821, 27990, 932, 1173, 619, 24137, 932, 1173, 532, 14110, 932, 24147, 2419, 1173, 532, 13749, 25821, 27990, 932, 1173, 532, 454, 21328, 276, 2488, 1439, 3562, 15134, 12601, 12123, 3435, 585, 4213, 454, 16665, 4930, 5415, 4930 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 2009, 269, 634, 8261, 2553, 616, 1419, 1031, 585, 2069, 540, 5159, 269, 634, 5496, 8228, 1184, 568, 1360, 1434, 585, 6404, 4778, 543, 2592, 609, 1082, 1507, 3515, 269, 634, 5496, 8228, 19267, 616, 1360, 14463, 543, 666, 581, 1031, 593, 1022, 2627, 563, 2791, 666, 556, 14025, 713, 3381, 585, 1863, 269, 3619, 6619, 269, 11289, 596, 585, 5885, 519, 3860, 862, 976, 3350, 8206, 256, 0, 6944, 1503, 1062, 3354, 454, 6944, 1503, 1062, 3354, 568, 519, 6604, 540, 630, 842, 30102, 610, 16662, 30102, 264, 13779, 609, 519, 1697, 5106, 540, 4853, 12957, 543, 1852, 1949, 269, 1452, 1852, 1949, 4383, 1898, 2533, 1519, 5201, 267, 19386, 2504, 267, 1216, 267, 6283, 267, 5663, 267, 543, 10618, 269, 1358, 7048, 593, 5904, 267, 5121, 267, 5665, 1949, 267, 3156, 267, 543, 1982, 30154, 27196, 267, 1142, 540, 799, 1223, 2270, 3354, 16426, 269, 634, 476, 1001, 271, 6602, 540, 519, 853, 5060, 6339, 21431, 7152, 519, 13438, 540, 891, 1949, 547, 6880, 13685, 269, 634, 2136, 2276, 543, 824, 6608, 723, 5293, 6880, 5498, 2579, 6042, 8506, 8476, 4027, 585, 1852, 1949, 5665, 2565, 5989, 563, 268, 476, 272, 24093, 454, 268, 476, 273, 23977, 1676, 1464, 540, 1852, 1949, 454, 268, 476, 274, 6554, 3646, 454, 268, 476, 275, 28290, 1299, 1852, 1062, 3354, 4441, 454, 268, 476, 276, 6513, 1062, 3354, 13995, 454, 268, 476, 276, 269, 272, 634, 4959, 288, 8232, 28597, 4659, 630, 3041, 5746, 264, 594, 4488, 476, 277, 2190, 6246, 1230, 845, 640, 10495, 5358, 454, 268, 476, 276, 269, 273, 8490, 5004, 7010, 454, 268, 476, 276, 269, 274, 594, 4488, 476, 277, 2190, 6246, 27872, 15789, 454, 268, 476, 277, 22108, 454, 268, 476, 278, 24498, 6402, 454, 1103, 9798, 540, 267, 610, 16426, 7915, 538, 4853, 12957, 543, 1852, 1949, 630, 296, 3722, 306, 264, 666, 1291, 547, 4049, 4539, 538, 6688, 971, 607, 3106, 267, 2530, 540, 1272, 267, 2123, 5945, 267, 2825, 1764, 267, 4503, 2504, 267, 3937, 3441, 267, 1344, 17403, 267, 543, 2754, 3239, 269, 30334, 547, 2708, 267, 6218, 543, 11574, 891, 1761, 4220, 568, 3177, 998, 519, 3498, 540, 1082, 6554, 531, 267, 9431, 267, 2872, 6054, 543, 6820, 11621, 267, 9619, 2630, 563, 309, 592, 1676, 1464, 540, 1852, 1949, 454, 26581, 7434, 12957, 543, 1852, 1949, 723, 1831, 2484, 811, 7925, 547, 3354, 13685, 1813, 547, 519, 1739, 3466, 602, 723, 7018, 936, 519, 2063, 476, 1015, 547, 476, 1428, 1296, 563, 268, 24581, 946, 540, 20497, 5510, 7308, 17125, 325, 5303, 630, 4596, 4811, 264, 543, 10873, 269, 16949, 540, 2029, 971, 607, 9049, 8837, 267, 14069, 267, 543, 25494, 1797, 602, 1184, 1852, 1949, 616, 1631, 7925, 547, 519, 1482, 8290, 267, 17494, 543, 7708, 329, 753, 602, 1860, 8668, 1949, 454, 268, 27617, 5610, 630, 6748, 2030, 267, 9746, 543, 1256, 1857, 5121, 264, 1797, 602, 1184, 1852, 1949, 630, 5586, 2329, 264, 616, 1631, 1373, 16271, 547, 17613, 789, 941, 711, 2966, 585, 454, 268, 24637, 585, 22647, 7457, 910, 476, 2190, 270, 278, 1569, 585, 4702, 267, 4238, 610, 2930, 1489, 1797, 811, 538, 31261, 610, 887, 326, 826, 4296, 547, 1852, 1062, 454, 268, 5398, 6176, 910, 15015, 338, 593, 875, 547, 946, 1852, 1062, 616, 15597, 2139, 547, 1131, 581, 31487, 607, 1134, 607, 547, 16048, 3755, 454, 763, 6880, 6937, 543, 4323, 2994, 593, 12957, 1949, 616, 4657, 6385, 269, 18641, 267, 7939, 540, 1852, 1062, 3354, 568, 4686, 607, 7939, 568, 513, 3500, 3001, 1184, 269, 634, 2136, 2276, 267, 585, 1383, 267, 1152, 1281, 865, 585, 519, 6046, 1379, 543, 519, 3114, 6080, 563, 763, 772, 2529, 269, 6554, 8950, 17073, 3367, 1465, 12243, 630, 4785, 4211, 12224, 264, 8385, 1128, 21114, 513, 1852, 1949, 3354, 1982, 630, 5425, 9915, 264, 1631, 519, 2817, 15536, 9798, 543, 18058, 16949, 4741, 630, 301, 6717, 2975, 264, 11633, 6513, 7010, 267, 799, 814, 1500, 2139, 513, 1804, 1305, 540, 1863, 2817, 4659, 540, 11621, 543, 5303, 630, 301, 8780, 264, 4441, 6054, 3823, 1852, 1062, 3354, 563, 8505, 558, 566, 1299, 1852, 1062, 3354, 4441, 454, 26721, 270, 296, 4488, 268, 277, 2190, 6246, 630, 13528, 28861, 4959, 288, 268, 4200, 994, 26721, 270, 296, 4488, 268, 277, 2190, 6246, 568, 513, 3126, 540, 4441, 267, 2930, 5359, 267, 543, 1644, 1344, 602, 5581, 5773, 585, 7598, 6475, 1227, 5150, 11633, 28290, 543, 6513, 7010, 630, 296, 3722, 306, 1040, 901, 5583, 10039, 547, 1439, 268, 22852, 630, 328, 4318, 269, 10697, 8227, 1070, 1062, 5043, 2209, 267, 3354, 9439, 267, 543, 1852, 1949, 9755, 3743, 585, 5663, 267, 8888, 267, 7598, 267, 610, 5883, 4853, 12957, 543, 1852, 1949, 563, 4322, 6054, 941, 8385, 5219, 547, 607, 4888, 10485, 270, 26721, 268, 4200, 610, 4959, 288, 4200, 4441, 267, 607, 789, 941, 2813, 676, 519, 4139, 5980, 585, 28290, 630, 26721, 264, 476, 4200, 12233, 267, 26886, 676, 543, 15597, 5950, 607, 1977, 2817, 11621, 4659, 630, 3198, 10485, 264, 6054, 269, 769, 476, 1001, 271, 267, 789, 941, 15646, 3518, 1229, 547, 581, 519, 4888, 10485, 270, 26721, 268, 277, 2190, 6246, 3126, 269, 901, 1689, 729, 5497, 547, 5447, 519, 4959, 288, 543, 4888, 10485, 3561, 1297, 532, 609, 519, 7222, 4139, 5082, 4710, 1013, 673, 8189, 630, 296, 4488, 264, 4441, 563, 5472, 4959, 288, 960, 2472, 616, 1631, 22921, 1210, 519, 15007, 968, 26721, 268, 277, 2190, 6246, 14870, 3917, 892, 543, 3105, 4959, 288, 4200, 562, 32393, 1155, 568, 9738, 585, 15364, 5301, 1152, 563, 26721, 4200, 3788, 519, 2012, 540, 519, 11633, 28290, 543, 6513, 3590, 8232, 9730, 540, 519, 4959, 288, 269, 4595, 476, 1220, 273, 267, 519, 12233, 814, 1044, 3384, 513, 3818, 12268, 3126, 540, 4441, 543, 2930, 5359, 593, 519, 1641, 540, 594, 3722, 306, 3354, 269, 1452, 960, 2472, 616, 1287, 11643, 547, 519, 4959, 288, 13170, 543, 1287, 13629, 896, 4888, 10485, 269, 1358, 616, 849, 11643, 547, 594, 4488, 585, 7156, 607, 4441, 543, 16551, 538, 519, 594, 4488, 476, 277, 2190, 6246, 3126, 1739, 519, 594, 4488, 4441, 1646, 1184, 563, 5472, 4959, 288, 268, 277, 2190, 6246, 4441, 543, 2930, 5359, 616, 6896, 883, 2185, 2489, 6688, 1572, 4937, 267, 24727, 543, 30332, 267, 3590, 543, 3281, 9426, 563, 268, 634, 1101, 630, 9008, 264, 7121, 2882, 1455, 610, 13654, 1344, 971, 607, 2035, 267, 3631, 543, 16166, 269, 4746, 3769, 616, 960, 2472, 602, 4766, 3354, 14573, 543, 3354, 1272, 9979, 585, 594, 3722, 306, 563, 268, 634, 2034, 7121, 540, 960, 2472, 9072, 519, 2667, 564, 13574, 518, 269, 1452, 2232, 1585, 3344, 540, 2870, 543, 4509, 606, 2500, 594, 3722, 306, 3354, 1982, 563, 268, 634, 3791, 7121, 2882, 960, 2472, 602, 4766, 1062, 1374, 5583, 543, 4170, 585, 519, 5150, 5610, 540, 1852, 1949, 269, 11759, 538, 713, 568, 519, 7997, 543, 31026, 527, 1374, 2203, 563, 268, 634, 8772, 7121, 2882, 960, 2472, 602, 4766, 519, 1808, 1587, 1646, 543, 2930, 4170, 540, 1852, 1062, 2472, 269, 901, 568, 5097, 5497, 585, 1852, 1587, 21527, 267, 855, 666, 581, 1031, 676, 5043, 1807, 543, 10697, 5411, 585, 547, 4217, 538, 519, 27147, 540, 5150, 2472, 563, 763, 594, 4488, 268, 277, 2190, 6246, 14590, 4441, 616, 519, 1267, 540, 519, 594, 4488, 4441, 5137, 1184, 1141, 4888, 10485, 270, 26721, 268, 277, 2190, 6246, 18747, 616, 11643, 547, 2197, 26639, 1141, 2689, 568, 2944, 543, 8292, 3823, 2242, 616, 11643, 269, 634, 8292, 616, 12649, 676, 1585, 594, 4488, 476, 277, 2190, 6246, 26639, 1141, 8292, 616, 5941, 543, 2242, 616, 1500, 607, 8815, 2390, 269, 3509, 2818, 540, 519, 594, 4488, 26639, 616, 519, 1482, 7606, 689, 519, 4959, 288, 590, 4200, 26639, 269, 1677, 4266, 267, 519, 4909, 2035, 689, 519, 3312, 4888, 10485, 270, 26721, 476, 277, 2190, 6246, 6054, 723, 1044, 8246, 269, 3097, 4322, 4441, 616, 1373, 1031, 676, 9439, 538, 1896, 6080, 547, 1374, 543, 6218, 12957, 1949, 585, 14590, 6043, 269, 11153, 540, 519, 4441, 616, 1373, 1031, 538, 10986, 267, 4702, 1184, 267, 1587, 267, 543, 1062, 14590, 13995, 3292, 630, 10193, 1572, 29077, 4879, 3292, 1916, 290, 1068, 5874, 616, 13752, 676, 26886, 27872, 645, 3672, 630, 290, 289, 264, 945, 7500, 1739, 18869, 270, 296, 4488, 476, 10204, 4792, 543, 18869, 270, 296, 4488, 476, 10204, 1839, 269, 27872, 645, 3672, 616, 26886, 547, 1685, 519, 2912, 1746, 267, 4879, 267, 543, 4152, 960, 676, 606, 6452, 1042, 2787, 10610, 630, 5723, 1040, 1703, 568, 1419, 835, 3084, 9474, 538, 1142, 2197, 269, 1452, 9474, 338, 7500, 829, 519, 4170, 540, 18869, 270, 296, 4488, 476, 10204, 1556, 267, 513, 3044, 602, 3568, 4170, 585, 519, 16169, 267, 11007, 267, 543, 31717, 640, 540, 20774, 2787, 4703, 950, 20774, 1746, 29077, 4879, 4703, 269, 9474, 338, 616, 3335, 2818, 540, 519, 4139, 6452, 1042, 2787, 17072, 630, 8656, 293, 264, 585, 960, 538, 2359, 1949, 267, 2472, 267, 2533, 267, 543, 10986, 20774, 2787, 610, 519, 4139, 12524, 6452, 1042, 2787, 29046, 630, 6579, 3722, 264, 585, 8047, 20774, 2787, 269, 589, 5564, 10561, 23779, 28081, 618, 630, 300, 6369, 264, 1063, 9474, 338, 786, 2327, 2518, 6284, 540, 26886, 595, 24871, 563, 6944, 1503, 1062, 3354, 13995, 454, 763, 4959, 288, 8232, 28597, 4659, 630, 3041, 5746, 264, 594, 4488, 476, 277, 2190, 6246, 1230, 845, 640, 10495, 5358, 454, 3041, 5746, 2813, 519, 1101, 29077, 4879, 10325, 630, 21720, 569, 1634, 607, 513, 13995, 10325, 264, 585, 519, 4959, 288, 590, 4200, 594, 3722, 306, 14590, 4441, 269, 901, 1982, 5909, 5809, 20497, 5510, 7308, 1606, 3559, 325, 630, 4596, 4811, 264, 594, 3722, 306, 2472, 543, 1949, 267, 5466, 17516, 519, 594, 3722, 306, 3761, 5832, 269, 608, 5866, 689, 519, 2136, 2276, 729, 519, 1101, 3919, 26886, 585, 519, 4959, 5746, 10325, 676, 519, 1977, 2817, 11621, 4659, 630, 3198, 10485, 264, 4553, 676, 519, 6513, 7010, 8232, 4741, 1107, 27872, 12524, 630, 16430, 290, 4211, 299, 264, 26886, 676, 519, 3567, 6452, 1042, 2787, 8274, 630, 297, 5723, 264, 543, 570, 383, 506, 309, 28039, 514, 1633, 26886, 676, 1546, 583, 22385, 13019, 330, 13072, 1512, 31258, 560, 16279, 630, 6395, 330, 330, 306, 1040, 2353, 540, 891, 9474, 3906, 616, 2818, 540, 519, 594, 28425, 563, 3041, 3008, 1815, 675, 594, 4488, 476, 277, 2190, 6246, 27872, 20644, 902, 454, 10521, 2910, 4811, 1587, 24501, 616, 2139, 896, 519, 4959, 3008, 1815, 675, 10378, 6216, 281, 4959, 3008, 1815, 675, 4211, 6347, 630, 15253, 9426, 8232, 2667, 4269, 264, 5909, 4328, 12957, 2472, 547, 519, 476, 277, 2190, 6246, 268, 275, 268, 272, 1315, 476, 277, 2190, 6246, 268, 275, 268, 273, 594, 3722, 306, 14590, 4441, 543, 4959, 3008, 1815, 675, 4149, 6347, 630, 21902, 8232, 2667, 4269, 1070, 5909, 4328, 594, 3722, 306, 1949, 547, 519, 594, 4488, 476, 277, 2190, 6246, 268, 274, 268, 274, 3044, 563, 288, 3791, 13995, 267, 12676, 6369, 630, 20376, 675, 4886, 5020, 12860, 2667, 4269, 264, 568, 2139, 689, 4959, 5746, 799, 5909, 5809, 594, 3722, 306, 1646, 3906, 547, 519, 476, 277, 2190, 6246, 268, 275, 268, 272, 14590, 3044, 267, 3246, 1028, 584, 1734, 602, 513, 18261, 3919, 814, 12250, 1242, 14590, 883, 741, 1587, 1646, 2853, 563, 3041, 302, 476, 10204, 4792, 543, 6820, 6452, 1042, 2787, 454, 763, 4959, 3008, 1815, 675, 476, 277, 2190, 6246, 29077, 4879, 10325, 568, 606, 18869, 476, 10204, 4792, 1982, 4171, 22475, 630, 32662, 2305, 4703, 610, 25553, 264, 616, 10446, 26886, 676, 4888, 10485, 12458, 2793, 289, 267, 808, 5723, 543, 824, 2518, 18869, 476, 10204, 1556, 20774, 2787, 4703, 630, 5723, 1040, 634, 13995, 22475, 1590, 849, 2743, 18869, 476, 10204, 1839, 2978, 20774, 2787, 4170, 547, 2327, 5812, 3498, 540, 13995, 4170, 543, 6444, 2645, 563, 7437, 23688, 783, 23779, 28081, 906, 630, 300, 6938, 264, 609, 594, 28425, 267, 14889, 3722, 543, 1866, 267, 519, 20774, 2787, 540, 519, 4959, 3008, 1815, 675, 22475, 676, 519, 4959, 288, 476, 10204, 1556, 20774, 2787, 4703, 5849, 602, 22783, 9783, 676, 1022, 540, 519, 4959, 3008, 1815, 675, 22475, 616, 11451, 6444, 563, 14818, 15484, 23779, 454, 763, 4959, 3008, 1815, 675, 10325, 2882, 513, 1184, 585, 9301, 1449, 2645, 547, 2327, 519, 2645, 2743, 6198, 4170, 2556, 543, 6190 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10858, 1702, 602, 4422, 3564, 2757, 4081, 1565, 269, 898, 568, 513, 14942, 3210, 547, 519, 4657, 6384, 540, 519, 13781, 267, 4180, 602, 1004, 616, 5423, 585, 519, 7569, 540, 513, 6385, 9687, 2816, 2344, 563, 763, 1514, 5539, 540, 1983, 2861, 2069, 6013, 538, 5807, 13784, 269, 898, 568, 827, 8840, 1524, 7496, 543, 4180, 602, 2069, 568, 3015, 547, 3025, 267, 7488, 540, 14227, 4282, 267, 4008, 267, 610, 10923, 4087, 269, 1635, 1818, 1983, 2069, 8537, 267, 649, 7668, 3309, 2950, 543, 8115, 519, 7934, 1063, 3872, 3255, 563, 11754, 7675, 6820, 12694, 912, 20597, 1571, 2861, 2069, 4249, 513, 11358, 1909, 538, 5466, 2518, 2591, 269, 6787, 621, 779, 21365, 13864, 267, 5009, 4264, 1646, 267, 610, 14775, 547, 6639, 7760, 267, 513, 13998, 3743, 1983, 2069, 5943, 20383, 609, 6626, 3646, 547, 1711, 2318, 1689, 593, 513, 2518, 4336, 563, 29248, 1077, 532, 12540, 1400, 1242, 18877, 912, 288, 1883, 2460, 540, 519, 1514, 5539, 7915, 538, 1983, 2861, 2069, 568, 922, 1445, 593, 16779, 12790, 2950, 269, 1635, 3246, 4052, 1983, 543, 25367, 2866, 267, 2069, 3587, 513, 18463, 585, 1514, 10688, 267, 8840, 519, 4783, 540, 6710, 267, 543, 16779, 2043, 547, 1711, 513, 1732, 2104, 585, 2933, 543, 741, 2950, 563, 3849, 2194, 532, 547, 25895, 1744, 22284, 912, 763, 3059, 4838, 814, 9927, 519, 2470, 540, 960, 267, 8506, 513, 1007, 1305, 540, 1983, 269, 4317, 569, 3743, 1983, 2861, 2069, 26342, 519, 1764, 540, 6639, 10593, 543, 6663, 547, 5965, 2043, 585, 519, 3059, 2085, 269, 901, 2882, 5807, 3059, 7924, 267, 8193, 1983, 267, 543, 15334, 538, 6932, 4066, 563, 23220, 7627, 17151, 13717, 4804, 912, 19741, 6101, 2069, 267, 519, 1514, 5539, 540, 1983, 2861, 2069, 11498, 547, 5009, 15400, 1565, 269, 769, 513, 1158, 1141, 6024, 9542, 568, 1898, 267, 2043, 991, 5571, 3255, 547, 10536, 1007, 1983, 543, 3251, 4143, 538, 741, 9757, 4610, 269, 10341, 2069, 3587, 513, 15400, 13959, 593, 519, 3460, 540, 2123, 543, 3318, 2208, 563, 20597, 1571, 2861, 2069, 568, 513, 3532, 1907, 585, 8716, 20835, 269, 1635, 30015, 2043, 609, 519, 1983, 2877, 547, 1376, 543, 2844, 4213, 267, 13998, 3743, 2069, 7341, 3565, 547, 2199, 2804, 1646, 543, 6536, 513, 2528, 540, 5647, 543, 1582, 3146, 18910, 563, 9288, 20011, 8177, 543, 23120, 26094, 912, 12892, 5539, 538, 1983, 2861, 2069, 3322, 6024, 8086, 543, 6454, 269, 4065, 7426, 543, 8639, 2268, 519, 1764, 540, 741, 3292, 267, 4180, 602, 789, 5447, 609, 6848, 2115, 543, 3565, 9797, 547, 519, 1134, 5630, 540, 2043, 543, 2950, 269, 634, 2832, 568, 547, 1711, 4264, 267, 2500, 3631, 540, 2069, 602, 11457, 609, 519, 4657, 5251, 563, 20597, 1571, 585, 782, 568, 711, 1175, 513, 1793, 25830, 282, 621, 779, 513, 28487, 532, 3956, 585, 513, 811, 8537, 267, 12581, 267, 543, 23518, 2486, 269, 634, 1514, 5539, 540, 1983, 2861, 2069, 6013, 538, 922, 2702, 547, 2981, 2729, 267, 10575, 3424, 2950, 267, 543, 3565, 547, 513, 17321, 2104, 585, 782, 269, 1635, 8508, 513, 11455, 1935, 602, 2418, 1983, 607, 513, 1907, 585, 2318, 1514, 1689, 267, 649, 17362, 519, 1259, 585, 513, 1158, 1141, 3025, 814, 519, 4316, 547, 12260, 741, 2407, 1761, 998, 2069, 269, 0, 1692, 798, 649, 917, 602, 621, 779, 2860, 1310, 513, 11632, 11571, 2982, 513, 5761, 25983, 1275, 888, 288, 23707, 949, 581, 2556, 952, 972, 568, 513, 5761, 12162, 2544, 269, 634, 1935, 5673, 593, 519, 4087, 540, 519, 16143, 6084, 712, 269, 1403, 519, 6084, 712, 568, 3844, 267, 1287, 621, 666, 581, 1979, 3591, 1221, 676, 19357, 22000, 269, 1403, 519, 6084, 712, 568, 15672, 267, 1287, 513, 11632, 28621, 3660, 23707, 949, 581, 2877, 563, 26796, 29748, 547, 513, 5247, 25714, 18874, 267, 741, 10551, 3375, 6194, 786, 4125, 1818, 513, 5868, 547, 1294, 952, 972, 568, 22037, 12118, 267, 2436, 519, 2860, 814, 3262, 547, 824, 8219, 269, 901, 786, 5351, 519, 18874, 538, 8159, 519, 3461, 779, 3942, 540, 5761, 2860, 267, 543, 8399, 547, 2015, 1010, 610, 1200, 8516, 585, 6391, 269, 8921, 267, 519, 18874, 786, 3313, 952, 519, 2860, 666, 581, 6569, 609, 513, 30194, 12362, 4480, 1634, 607, 11473, 2667, 13554, 18897, 25714, 17889, 630, 309, 2969, 306, 1916, 14737, 574, 958, 12362, 5761, 6391, 454, 309, 2969, 306, 568, 1031, 547, 4894, 6084, 2293, 998, 1507, 543, 30194, 29554, 1651, 2888, 267, 3079, 540, 513, 3339, 1804, 1651, 1707, 630, 21406, 513, 5247, 659, 30315, 1040, 14904, 18460, 713, 5650, 4324, 689, 513, 10156, 6413, 3251, 543, 2038, 20834, 5314, 563, 3080, 540, 519, 10551, 2553, 6964, 949, 581, 513, 18657, 770, 514, 22000, 267, 799, 568, 513, 10551, 5650, 547, 3313, 952, 2860, 814, 3262, 547, 519, 18657, 770, 1400, 9726, 9136, 269, 634, 5650, 568, 827, 476, 1789, 3764, 1279, 896, 2489, 16562, 17561, 269, 2991, 519, 5650, 267, 519, 3461, 786, 2154, 606, 16074, 3251, 693, 519, 6413, 563, 288, 18960, 543, 1447, 12362, 4480, 568, 7736, 984, 1258, 577, 658, 8299, 14647, 269, 901, 5650, 3096, 513, 19357, 24005, 609, 16953, 547, 23707, 519, 18657, 770, 1400, 9726, 9136, 547, 3313, 952, 972, 568, 3262, 269, 901, 568, 513, 2110, 3613, 599, 5650, 267, 2944, 896, 6822, 566, 855, 3340, 9645, 6791, 563, 293, 5893, 585, 20491, 454, 2414, 3313, 513, 3461, 779, 8516, 585, 5106, 267, 519, 18874, 786, 2932, 513, 2168, 6514, 543, 4063, 519, 3461, 779, 1686, 269, 4033, 4255, 1331, 5761, 1599, 4255, 454, 663, 13487, 13753, 267, 971, 607, 606, 20192, 18201, 25086, 543, 2566, 4255, 269, 15742, 2550, 949, 849, 2154, 3635, 4152, 563, 21675, 540, 25016, 9435, 454, 2690, 2038, 5933, 476, 272, 543, 476, 273, 540, 5761, 2860, 267, 6391, 568, 3622, 6035, 607, 519, 1101, 1899, 540, 2126, 563, 25111, 476, 273, 2550, 786, 2154, 7755, 340, 2779, 18068, 563, 25111, 476, 274, 288, 2550, 949, 4309, 18068, 547, 1524, 560, 720, 267, 4553, 676, 6391, 454, 25111, 476, 274, 289, 543, 476, 275, 2550, 786, 2154, 18068, 543, 5924, 2234, 23956, 563, 763, 5767, 7835, 538, 7636, 2090, 538, 1880, 661, 294, 15709, 15817, 1397, 602, 7755, 340, 2779, 6098, 3797, 568, 6225, 563, 21581, 5025, 1087, 13554, 18897, 25714, 17889, 630, 7659, 23346, 17889, 994, 21581, 5025, 1087, 13554, 18897, 25714, 17889, 630, 7659, 23346, 17889, 264, 814, 9927, 519, 10551, 1935, 547, 5761, 2860, 6391, 269, 3414, 519, 946, 540, 1279, 267, 7522, 7405, 543, 3381, 3937, 267, 5761, 11871, 666, 581, 6569, 1210, 513, 30194, 12362, 1935, 269, 901, 6922, 2478, 1928, 585, 2038, 20834, 5314, 543, 2038, 11166, 563, 9680, 15709, 543, 14977, 4592, 710, 20943, 848, 454, 14946, 906, 538, 7636, 2090, 723, 3254, 602, 930, 5761, 11871, 3262, 676, 1634, 6127, 269, 769, 1880, 267, 519, 1079, 2188, 540, 28603, 531, 2208, 3815, 13805, 630, 9680, 15709, 264, 543, 1119, 4592, 710, 32635, 1106, 513, 968, 4486, 543, 9376, 892, 7271, 799, 8060, 1591, 18735, 267, 12289, 267, 2587, 328, 14003, 267, 22037, 12118, 267, 543, 513, 4187, 547, 30091, 563, 4462, 25049, 661, 294, 15709, 2504, 3123, 519, 2860, 1591, 547, 17297, 4733, 543, 3262, 269, 1635, 13389, 519, 1119, 4592, 710, 32635, 267, 2860, 3262, 568, 6417, 267, 3254, 538, 8062, 609, 4359, 2860, 563, 3528, 1210, 1119, 4592, 710, 32635, 20127, 630, 307, 298, 296, 1070, 649, 666, 1852, 519, 3262, 540, 661, 294, 15709, 4573, 730, 11871, 563, 763, 1520, 19313, 23632, 454, 763, 1520, 19313, 23632, 12833, 9407, 476, 6924, 273, 2550, 609, 5761, 2860, 269, 2353, 2550, 1185, 22234, 20722, 665, 32555, 5448, 2860, 609, 661, 294, 15709, 15817, 563, 5472, 941, 4351, 2213, 547, 2901, 4309, 744, 13678, 1068, 514, 756, 630, 307, 8980, 305, 3041, 12569, 264, 610, 513, 21897, 3075, 269, 2991, 476, 4366, 3275, 267, 519, 1353, 4951, 602, 2550, 609, 8609, 476, 273, 547, 476, 274, 288, 2068, 5116, 593, 744, 13678, 1068, 514, 756, 1185, 4810, 1713, 2640, 267, 607, 3254, 912, 763, 4693, 849, 7000, 602, 2550, 609, 8609, 476, 272, 289, 547, 476, 274, 288, 2068, 5116, 593, 744, 13678, 1068, 514, 756, 1185, 4810, 1713, 4324, 563, 2690, 2038, 22533, 5761, 2860, 3942, 476, 272, 268, 274, 288, 267, 3343, 5916, 8369, 540, 2564, 32346, 5505, 267, 5247, 25714, 23262, 543, 5982, 32346, 5505, 538, 513, 6084, 712, 4604, 4259, 563, 21581, 29374, 5247, 25714, 6391, 1447, 839, 21693, 573, 885, 585, 6391, 538, 2038, 22533, 5761, 11871, 563, 3849, 9857, 2779, 1119, 4592, 710, 32635, 20127, 568, 5227, 585, 3942, 476, 272, 289, 630, 339, 636, 712, 2450, 476, 274, 268, 275, 9492, 264, 630, 307, 273, 301, 271, 264, 538, 661, 294, 15709, 15817, 20722, 665, 32555, 5557, 563, 1805, 1137, 476, 273, 268, 274, 288, 6391, 1341, 570, 298, 296, 1341, 18068, 585, 661, 294, 15709, 15817, 20722, 665, 32555, 5557, 563, 4415, 811, 1382, 883, 2860, 7350, 267, 811, 5061, 786, 581, 2139, 609, 1732, 4093, 269, 0, 763, 17943, 540, 7464, 24529, 19833, 454, 18600, 10040, 6455, 568, 519, 1184, 540, 9140, 543, 9513, 3601, 267, 971, 607, 8075, 267, 6306, 906, 267, 5010, 5656, 267, 543, 2244, 269, 898, 3322, 513, 3099, 540, 2238, 267, 1519, 6725, 267, 16395, 267, 543, 3656, 1957, 1740, 269, 7464, 10040, 6455, 666, 581, 2944, 676, 1367, 21427, 610, 676, 4648, 971, 607, 1483, 10040, 8069, 610, 2156, 24329, 563, 763, 10020, 540, 7464, 24529, 3397, 757, 454, 18600, 10040, 8069, 1404, 513, 2629, 1909, 538, 519, 6455, 1184, 269, 1358, 957, 607, 10827, 2456, 1063, 18046, 543, 23965, 267, 4543, 547, 6474, 519, 1318, 3959, 609, 519, 1318, 23138, 269, 1358, 616, 18164, 827, 519, 2199, 2344, 543, 666, 1683, 3407, 5796, 593, 14499, 267, 6725, 267, 543, 16395, 269, 7464, 10040, 8069, 616, 849, 3743, 585, 7829, 519, 3656, 543, 11889, 3344, 540, 519, 11834, 563, 763, 17778, 12833, 9407, 538, 7464, 24529, 19833, 454, 763, 1184, 540, 1483, 10040, 6455, 3335, 3322, 1896, 3268, 269, 3689, 267, 519, 3959, 568, 7396, 585, 9042, 267, 2901, 676, 519, 8227, 610, 676, 513, 1483, 10040, 8665, 269, 634, 3959, 568, 1287, 30630, 547, 1761, 18046, 998, 1585, 9055, 267, 971, 607, 2228, 1592, 902, 267, 1930, 8075, 267, 543, 1820, 22099, 269, 9314, 539, 18046, 8430, 2070, 902, 543, 949, 10505, 3091, 563, 2252, 606, 2709, 568, 7608, 267, 519, 23138, 543, 22673, 21907, 519, 2474, 540, 519, 9042, 267, 1519, 519, 6718, 3902, 267, 14656, 4266, 267, 543, 1022, 20314, 4293, 269, 4495, 519, 2474, 616, 8815, 2390, 267, 513, 6718, 6876, 568, 9896, 267, 543, 519, 23138, 3335, 17188, 513, 16005, 269, 634, 23138, 1287, 2855, 5190, 14104, 267, 952, 2556, 267, 543, 29349, 1022, 2838, 24422, 610, 813, 20333, 1023, 563, 7661, 267, 519, 14656, 1184, 3217, 1747, 267, 1282, 799, 519, 3656, 4483, 540, 519, 3959, 689, 519, 22673, 547, 519, 23138, 4386, 269, 901, 3322, 519, 8569, 540, 519, 6967, 6718, 3902, 267, 519, 19142, 540, 782, 2556, 6054, 267, 543, 519, 10916, 540, 519, 632, 539, 563, 763, 11957, 540, 7464, 24529, 19833, 454, 18600, 10040, 6455, 616, 513, 2629, 851, 540, 519, 4346, 269, 1358, 1683, 3255, 585, 2043, 547, 1378, 5321, 267, 1902, 538, 3601, 267, 543, 1376, 4213, 269, 7464, 10040, 6455, 849, 3565, 547, 2816, 5137, 543, 2804, 2208, 267, 607, 789, 4125, 513, 2647, 2039, 540, 4648, 267, 971, 607, 1483, 10040, 8069, 267, 20251, 32225, 267, 813, 20333, 619, 267, 543, 27192, 563, 12234, 267, 1483, 10040, 6455, 723, 513, 1713, 1764, 593, 2199, 2950, 269, 634, 9042, 540, 3601, 666, 1291, 547, 2242, 538, 8378, 22097, 267, 3959, 2418, 267, 543, 3454, 19614, 269, 7464, 10040, 6455, 666, 849, 723, 1514, 543, 2825, 6286, 267, 971, 607, 519, 1646, 540, 1007, 8027, 3785, 610, 519, 11091, 540, 8978, 3601, 563, 763, 12694, 540, 7464, 24529, 19833, 454, 4407, 1483, 10040, 6455, 2709, 1082, 3255, 267, 789, 849, 2097, 609, 2591, 269, 634, 2344, 666, 581, 3810, 8013, 267, 609, 2789, 18046, 642, 3539, 585, 519, 1482, 3959, 269, 901, 666, 1291, 547, 536, 27570, 10617, 543, 1102, 3836, 5777, 269, 590, 25527, 949, 849, 3068, 2591, 538, 4466, 11727, 18046, 543, 27410, 15028, 2474, 563, 13010, 267, 1483, 10040, 6455, 616, 1641, 547, 1585, 3656, 543, 9431, 4170, 269, 16179, 619, 543, 23965, 1590, 6330, 1950, 11731 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 318, 515, 777, 8443, 275, 267, 274, 267, 276, 267, 273, 267, 277, 267, 278, 267, 280, 8079 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 945, 616, 1305, 6306, 585, 513, 1808, 3483, 269, 6787, 621, 581, 606, 2002, 532, 585, 5718, 610, 585, 7067, 267, 519, 957, 540, 606, 2002, 532, 609, 3282, 23327, 10143, 13394, 1674, 543, 16882, 269, 898, 5713, 607, 513, 15889, 4082, 540, 2696, 779, 4527, 543, 26460, 2390, 606, 1367, 267, 18136, 519, 10513, 13336, 547, 960, 538, 741, 2729, 563, 279, 269, 1215, 1281, 519, 1523, 540, 606, 2002, 532, 1921, 547, 10143, 13394, 1674, 538, 519, 6426, 888, 1700, 31519, 476, 2412, 281, 1724, 281, 968, 2791, 4927, 2322, 2390, 26826, 519, 13411, 23157, 267, 543, 606, 2002, 1864, 543, 13394, 3433, 1864, 267, 602, 646, 949, 4196, 803, 607, 17308, 1848, 901, 14235, 4016, 547, 519, 606, 2002, 532, 540, 26826, 607, 519, 1164, 17308, 267, 1129, 4328, 1010, 10143, 13394, 1674, 543, 4259, 1864, 6306, 585, 519, 3028, 540, 2696, 269, 898, 9727, 602, 606, 2002, 532, 568, 5702, 4448, 547, 519, 957, 540, 13394, 7992, 2576, 585, 513, 1808, 1909, 538, 519, 10143, 1544, 563, 1700, 2274, 10903, 16307, 476, 279, 281, 1321, 281, 968, 10190, 646, 23953, 930, 540, 519, 606, 2002, 532, 3282, 593, 26826, 779, 2212, 543, 606, 31212, 1864, 547, 13394, 3433, 1864, 1848, 769, 713, 1650, 267, 15584, 606, 2002, 338, 26826, 609, 3282, 267, 1374, 908, 1864, 607, 519, 1164, 17308, 540, 5840, 269, 634, 957, 540, 606, 2002, 532, 1934, 4564, 519, 10143, 5542, 543, 13170, 540, 26826, 585, 713, 1271, 5718, 2990, 267, 10834, 519, 4276, 1063, 606, 2002, 532, 543, 10143, 13394, 1674, 563, 763, 1523, 540, 606, 2002, 532, 538, 519, 6426, 1419, 19752, 513, 10143, 13394, 1674, 610, 13393, 585, 513, 1808, 1909, 610, 4305, 269, 898, 568, 513, 12572, 957, 602, 1374, 919, 2576, 607, 6074, 543, 1305, 6306, 676, 2696, 585, 513, 2027, 3483, 269, 3414, 606, 2002, 532, 267, 2043, 616, 23518, 543, 9280, 547, 11886, 741, 2696, 3766, 1508, 10912, 269, 3807, 607, 519, 606, 31212, 3283, 538, 519, 6426, 941, 13394, 3603, 585, 1808, 5107, 267, 606, 2002, 532, 13462, 547, 10143, 13394, 1674, 676, 8204, 2696, 779, 13021, 540, 13170, 543, 16882, 585, 3571, 6074, 3401, 563, 2304, 2002, 532, 568, 711, 1175, 513, 6071, 9161, 267, 855, 606, 957, 609, 2620, 3909, 4644, 538, 519, 6426, 269, 898, 23327, 602, 2696, 779, 3870, 267, 6392, 267, 543, 5583, 616, 1655, 15735, 2390, 519, 606, 31212, 1367, 267, 7175, 873, 547, 11886, 741, 10143, 3483, 269, 634, 1523, 540, 606, 2002, 532, 849, 11363, 519, 2956, 540, 5289, 16882, 538, 8876, 856, 2696, 779, 1544, 269, 1879, 2576, 568, 606, 31212, 538, 519, 6426, 267, 621, 20502, 741, 2027, 2078, 609, 2696, 543, 19752, 741, 13394, 1674, 547, 4196, 3571, 5301, 269, 1924, 267, 606, 2002, 532, 5713, 607, 589, 1797, 540, 10143, 13394, 1674, 267, 16287, 2576, 607, 6074, 543, 1305, 6306, 676, 2696, 585, 513, 1808, 1909, 610, 4305, 563, 280, 269, 1548, 616, 519, 13400, 10752, 3823, 519, 606, 31212, 3283, 610, 6074, 3401, 888, 1103, 519, 6426, 267, 972, 616, 1896, 10752, 3823, 519, 606, 31212, 3283, 610, 6074, 3401, 269, 1452, 10752, 11168, 519, 2956, 540, 10143, 13393, 543, 6392, 267, 607, 1134, 607, 519, 9021, 602, 2097, 609, 1373, 6074, 676, 2696, 563, 3080, 540, 519, 1883, 13400, 10752, 3823, 519, 606, 31212, 3283, 610, 6074, 3401, 568, 1336, 538, 25360, 332, 476, 8660, 281, 736, 268, 2641, 267, 799, 3081, 267, 968, 296, 723, 1336, 6424, 1250, 22700, 282, 609, 1250, 13411, 3282, 594, 723, 606, 31212, 1864, 267, 865, 602, 1250, 1688, 4927, 581, 3964, 609, 1864, 282, 1250, 6186, 849, 4927, 7794, 1864, 1848, 901, 14235, 4016, 547, 3751, 6424, 267, 7247, 2696, 606, 31212, 607, 519, 6074, 6205, 540, 5840, 269, 898, 14550, 602, 1373, 606, 31212, 609, 3282, 19752, 10143, 5542, 543, 16882, 585, 5718, 563, 5194, 13400, 3450, 3823, 519, 606, 31212, 3283, 666, 581, 1336, 538, 476, 272, 15656, 476, 1626, 281, 1724, 267, 799, 2829, 267, 9232, 10190, 15656, 3576, 519, 18057, 540, 3282, 543, 606, 31212, 1864, 1496, 21837, 316, 538, 519, 22984, 540, 1010, 14552, 269, 1656, 519, 13336, 540, 519, 7083, 32357, 2390, 6424, 689, 602, 1554, 4464, 1848, 901, 14235, 8711, 602, 606, 2002, 532, 609, 3282, 568, 5702, 4448, 547, 519, 18836, 566, 540, 519, 10513, 13336, 269, 898, 6920, 602, 6074, 3401, 711, 1152, 4309, 513, 2990, 540, 6392, 855, 849, 519, 5289, 5512, 618, 547, 11886, 741, 1909, 563, 13010, 267, 31519, 476, 2412, 281, 1724, 268, 1428, 2488, 1776, 13400, 3450, 593, 606, 31212, 3401, 269, 898, 22281, 338, 519, 606, 2002, 532, 540, 26826, 543, 1010, 14930, 607, 20577, 1354, 519, 7083, 267, 6031, 267, 968, 4517, 596, 4927, 2322, 873, 593, 26826, 707, 7015, 543, 593, 1010, 14930, 609, 1864, 267, 543, 4927, 606, 2002, 873, 543, 3921, 664, 873, 543, 13394, 3433, 873, 267, 602, 789, 949, 4196, 803, 607, 20577, 1848, 901, 8574, 11363, 602, 606, 2002, 532, 568, 606, 957, 540, 13394, 1674, 267, 4259, 6306, 2043, 585, 513, 1808, 3483, 538, 519, 3028, 540, 2696, 563, 1103, 3932, 267, 519, 13400, 10752, 3823, 519, 606, 31212, 3283, 610, 6074, 3401, 20838, 519, 10143, 5542, 267, 16882, 267, 543, 13394, 1674, 602, 9311, 625, 606, 2002, 532, 269, 1358, 5031, 519, 1713, 1909, 3401, 1404, 538, 8876, 856, 2696, 779, 3483, 543, 519, 5289, 6392, 789, 616, 1303, 27434, 2060, 269, 1452, 10752, 849, 6655, 519, 2956, 540, 13461, 593, 519, 10513, 13336, 585, 5583, 543, 4222, 538, 5718, 563, 1015, 269, 1215, 1281, 606, 2002, 532, 2992, 519, 5289, 16882, 538, 519, 6426, 888, 1103, 519, 6426, 267, 606, 2002, 532, 568, 1419, 2404, 609, 8391, 5289, 16882, 543, 513, 2027, 10912, 689, 2696, 269, 898, 19752, 1373, 1305, 6306, 585, 513, 1808, 3483, 543, 8391, 519, 10513, 13336, 779, 5583, 543, 1379, 269, 11153, 6426, 18627, 5031, 519, 4276, 1063, 606, 2002, 532, 543, 5289, 16882, 563, 272, 269, 476, 272, 15656, 476, 1626, 281, 1724, 281, 968, 3383, 15656, 3576, 519, 18057, 540, 3282, 543, 606, 31212, 1864, 538, 519, 4527, 540, 1010, 14552, 267, 543, 689, 602, 1554, 593, 519, 13336, 540, 519, 7083, 3357, 1379, 2685, 2390, 6424, 1848, 901, 14235, 22281, 338, 875, 15656, 606, 31212, 6424, 607, 4622, 540, 5840, 267, 543, 26063, 267, 519, 13336, 540, 519, 7083, 23518, 1864, 547, 11886, 1010, 1909, 607, 513, 6205, 269, 6424, 779, 606, 2002, 532, 6719, 513, 10143, 13393, 543, 1655, 15735, 2390, 1864, 519, 2556, 5289, 6392, 543, 4222, 563, 273, 269, 19279, 476, 275, 281, 1240, 268, 866, 281, 968, 763, 13336, 540, 519, 7083, 568, 593, 803, 267, 1317, 646, 814, 606, 31212, 803, 547, 605, 8010, 1434, 3377, 547, 519, 4057, 269, 1261, 814, 2366, 803, 547, 605, 8010, 5191, 585, 519, 14586, 543, 6051, 540, 8289, 585, 519, 9420, 267, 547, 1305, 519, 31345, 1863, 267, 547, 605, 8010, 519, 1032, 540, 519, 7083, 779, 3870, 1848, 769, 713, 8574, 267, 4906, 14509, 689, 519, 20801, 540, 30037, 543, 32141, 602, 519, 13336, 540, 519, 7083, 814, 606, 31212, 1864, 547, 11886, 513, 1808, 5692, 269, 901, 606, 2002, 532, 9727, 4906, 685, 10143, 10243, 543, 16877, 1864, 547, 3142, 5289, 19802, 543, 7067, 547, 1346, 538, 991, 563, 274, 269, 20450, 476, 272, 281, 279, 281, 968, 3719, 596, 786, 4309, 1379, 950, 519, 10513, 13336, 2501, 593, 596, 282, 543, 596, 786, 581, 1250, 22168, 538, 13243, 267, 543, 538, 782, 7225, 20660, 543, 6341, 7559, 267, 543, 547, 519, 7475, 540, 519, 3618, 1848, 3371, 267, 4906, 14767, 1010, 20785, 602, 789, 786, 4309, 1379, 998, 519, 10513, 13336, 779, 606, 2002, 532, 269, 901, 606, 2002, 532, 6087, 873, 547, 979, 8521, 543, 605, 8010, 519, 22258, 267, 10825, 519, 5048, 540, 20778, 547, 782, 6082, 563, 14454, 267, 606, 2002, 532, 538, 519, 6426, 4564, 513, 10143, 13394, 1674, 267, 1129, 4328, 519, 8391, 540, 5289, 16882, 543, 519, 10513, 13336, 779, 5583, 269, 898, 19752, 1373, 6074, 543, 1305, 6306, 585, 513, 1808, 20828, 610, 5692, 267, 543, 11438, 609, 621, 519, 6392, 543, 4222, 2877, 547, 11886, 602, 1909, 269, 3414, 606, 2002, 532, 267, 2043, 616, 9280, 609, 519, 1379, 547, 605, 8010, 519, 1434, 3377, 267, 3142, 5191, 543, 7067, 547, 519, 31345, 267, 543, 4196, 607, 22168, 585, 2696, 779, 10806, 269, 1323, 2002, 532, 9356, 519, 5289, 16882, 1655, 15735, 676, 2696, 543, 6087, 2043, 547, 11886, 741, 10912, 543, 3483, 538, 3028, 547, 13924, 269, 0, 32247, 27830, 2068, 630, 290, 310, 291, 264, 729, 5063, 9672, 538, 513, 544, 2544, 13650, 11369, 2282, 623, 1441, 1446, 267, 29131, 269, 898, 568, 519, 2034, 9672, 2013, 540, 595, 310, 291, 1369, 544, 2544, 13650, 538, 15391, 9351, 476, 16928, 269, 634, 1101, 9672, 2013, 1107, 513, 798, 324, 1107, 729, 1394, 538, 476, 1001, 278, 950, 519, 4666, 13650, 729, 4362, 2282, 519, 19633, 267, 2687, 547, 519, 29131, 10794, 543, 12551, 4972, 630, 310, 24427, 291, 1916, 290, 310, 291, 568, 606, 2141, 14603, 14715, 2068, 602, 5222, 796, 326, 12885, 543, 568, 3262, 998, 929, 687, 13671, 538, 519, 28797, 267, 10729, 610, 19975, 540, 7783, 2831, 269, 6779, 1078, 2831, 602, 5884, 543, 267, 5555, 267, 9178, 849, 3565, 547, 519, 595, 310, 291, 17376, 542, 9762, 3133, 730, 2127, 269, 5221, 519, 5946, 3251, 538, 519, 11934, 267, 13650, 267, 1714, 330, 543, 4779, 846, 602, 1178, 2763, 538, 891, 2127, 1831, 7783, 563, 17780, 2390, 713, 5063, 9672, 595, 310, 291, 2013, 267, 654, 24427, 291, 6499, 547, 7618, 7264, 547, 2057, 8023, 7320, 269, 2755, 5162, 2175, 949, 1118, 621, 3100, 899, 513, 1434, 2856, 267, 621, 666, 2014, 3978, 2042, 269, 4340, 547, 519, 8116, 267, 891, 2042, 1331, 2810, 519, 3262, 540, 3676, 543, 15495, 899, 595, 310, 291, 269, 898, 666, 849, 2333, 519, 7872, 540, 27781, 1317, 621, 3947, 2831, 796, 11499, 1426, 602, 741, 4703, 949, 711, 581, 5423, 547, 7558, 607, 1134, 269, 898, 666, 849, 2333, 4655, 3871, 267, 971, 607, 3959, 3441, 267, 6174, 21611, 543, 1480, 2914, 843, 5158, 13341, 269, 0, 17686, 720, 883, 14301, 454, 18550, 476, 6734, 267, 476, 1708, 275, 454, 17686, 720, 568, 513, 11684, 1148, 1106, 602, 2488, 513, 1390, 1259, 547, 1020, 2093, 585, 12400, 269, 769, 519, 13186, 596, 786, 1451, 875, 547, 1118, 513, 19618, 5888, 689, 2759, 13050, 2592, 543, 5546, 269, 1411, 786, 3605, 875, 2458, 720, 666, 581, 513, 3532, 1907, 585, 9423, 267, 2436, 568, 621, 1031, 547, 1936, 622, 2123, 2984, 267, 6085, 593, 1514, 2152, 267, 610, 1175, 581, 513, 22488, 4999, 540, 19635, 3308, 2609, 269, 901, 2458, 720, 786, 581, 1031, 607, 513, 2707, 585, 513, 23315, 5373, 269, 901, 1184, 786, 1930, 596, 909, 547, 519, 1702, 602, 2093, 585, 5373, 610, 7206, 616, 1152, 513, 1906, 2759, 5346, 2609, 2476, 689, 596, 269, 2672, 3386, 585, 782, 2157, 269, 2353, 7727, 3769, 563, 28716, 519, 26551, 6816, 3427, 540, 3203, 3896, 547, 11578, 2228, 267, 610, 6049, 476, 7742, 268, 23884, 268, 12573, 271, 563, 5472, 7727, 3769, 269, 0, 763, 2887, 18173, 8858, 267, 20727, 4382, 3057, 760, 657, 553, 267, 10741, 20029, 269, 476, 2537, 543, 568, 593, 4159, 998, 8734, 269, 476, 1321, 689, 476, 280, 281, 1789, 513, 6230, 269, 547, 476, 276, 533, 6230, 269, 3232, 563, 9596, 827, 930, 540, 519, 3162, 13523, 17984, 596, 666, 2743, 538, 519, 8858, 713, 2887, 912, 12507, 1105, 17984, 616, 1134, 1634, 585, 741, 27314, 476, 274, 267, 1822, 28902, 9194, 689, 519, 29036, 2136, 2276, 547, 6239, 6792, 269, 3933, 1105, 338, 2253, 547, 12446, 538, 741, 7670, 5793, 532, 4609, 538, 6792, 538, 2038, 5437, 1282, 519, 2197, 779, 667, 17144, 632, 16334, 1068, 657, 13037, 543, 11812, 269, 3933, 1105, 338, 616, 513, 5289, 3090, 1282, 519, 13037, 267, 8204, 519, 20339, 540, 11937, 13059, 547, 3643, 741, 6068, 3283, 563, 294, 5050, 4210, 9994, 339, 5661, 616, 519, 4102, 17984, 538, 3345, 3013, 267, 609, 930, 8757, 909, 547, 476, 1240, 269, 279, 17744, 630, 12671, 476, 278, 269, 276, 6279, 1040, 634, 2249, 666, 581, 1336, 538, 22703, 4516, 267, 2429, 519, 772, 2529, 269, 543, 883, 6792, 267, 607, 1134, 607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 280, 628, 267, 744, 568, 476, 1428, 628, 267, 595, 568, 476, 274, 6113, 267, 570, 568, 476, 736, 628, 267, 966, 568, 476, 2420, 526, 267, 962, 568, 476, 1839, 628, 5022, 538, 22843, 10022, 563, 13707, 476, 27768, 1913, 2813, 676, 2789, 5022, 4999, 540, 15571, 13808, 538, 2296, 9218, 563, 20238, 1470, 13808, 568, 513, 1085, 4599, 1076, 2262, 286, 8786, 630, 2420, 18745, 994, 20238, 1470, 13808, 814, 4502, 476, 2420, 2480, 4599, 1076, 2798, 269, 3962, 4484, 1448, 607, 2630, 269, 0, 288, 25521, 568, 513, 29105, 630, 27917, 21758, 4137, 264, 4171, 6587, 5011, 616, 6252, 267, 543, 4171, 6587, 7285, 267, 4061, 267, 616, 3160, 269, 634, 32377, 540, 513, 25521, 20312, 624, 1142, 824, 269, 589, 25521, 540, 3490, 536, 543, 4463, 554, 814, 606, 1858, 912, 288, 815, 536, 327, 815, 705, 5609, 288, 815, 705, 5609, 289, 563, 763, 4463, 540, 513, 25521, 568, 554, 815, 513, 5609, 288, 815, 513, 5609, 289, 269, 634, 5011, 513, 267, 536, 267, 524, 267, 543, 546, 543, 32377, 533, 543, 7117, 540, 513, 25521, 14183, 519, 7862, 912, 335, 273, 1341, 7117, 273, 815, 513, 273, 1341, 536, 273, 1341, 524, 273, 1341, 546, 273, 454, 22492, 2665, 540, 513, 25521, 616, 513, 32077, 639, 267, 799, 814, 5011, 540, 3160, 3259, 267, 513, 13551, 267, 799, 814, 1079, 5036, 540, 6252, 5011, 602, 616, 13902, 547, 1142, 824, 267, 543, 513, 4009, 267, 799, 10742, 519, 2175, 540, 1312, 513, 13551, 543, 513, 32077, 639, 269, 0, 24336, 585, 23722, 2433, 1053, 1433, 476, 274, 454, 25583, 476, 274, 1433, 13408, 476, 2190, 4245, 609, 1614, 18913, 7131, 338, 543, 513, 3610, 1433, 563, 29605, 616, 2966, 585, 4928, 946, 267, 855, 789, 666, 581, 1031, 676, 4830, 6267, 610, 585, 14469, 5301, 563, 17806, 538, 16866, 3197, 543, 533, 4176, 514, 267, 609, 5528, 543, 930, 1893, 543, 2686, 4967, 538, 2296, 269, 634, 7131, 338, 3382, 1312, 519, 1837, 543, 519, 3610, 1433, 563, 6224, 25553, 9680, 476, 2537, 282, 8863, 25553, 9680, 476, 2537, 320, 282, 8863, 25553, 9680, 476, 2537, 281, 272, 268, 273, 263, 7374, 264, 7046, 1569 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 267, 631, 1421, 5576, 738, 345, 267, 631, 269, 717, 1421, 590, 18636, 773, 267, 631, 1421, 543, 8709, 3541, 654, 518, 325, 267, 717, 269, 681, 12727, 29119, 817, 8781, 5434, 6059, 609, 513, 2518, 3595, 21939, 1062, 1759, 593, 4767, 3595, 10237, 894, 1379, 267, 12713, 613, 657, 31190, 267, 476, 280, 267, 476, 276, 2767, 1700, 4649, 275, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 31982, 275, 11486, 326, 268, 280, 268, 276, 2767, 268, 1001, 273, 267, 476, 1001, 273, 269, 513, 267, 536, 454, 298, 9820, 518, 267, 808, 269, 654, 1421, 18774, 267, 589, 1421, 27055, 2801, 267, 631, 269, 744, 1421, 27015, 31899, 267, 589, 1421, 932, 889, 541, 13960, 267, 715, 1421, 13643, 267, 700, 1421, 5651, 322, 8291, 267, 808, 11607, 297, 1421, 681, 5074, 518, 267, 631, 1421, 5576, 738, 345, 267, 631, 269, 717, 1421, 590, 18636, 773, 267, 631, 1421, 543, 8709, 3541, 654, 518, 325, 267, 717, 269, 681, 12727, 6820, 9605, 2667, 574, 7976, 3590, 3595, 12998, 9605, 10237, 894, 1379, 267, 10515, 1716, 16307, 22014, 1877, 16424, 6796, 1496, 11907, 1305, 3910, 4179, 2517, 520, 4380, 1877, 6983, 641, 1716, 16307, 4318, 340, 270, 29514, 1922, 790, 15041, 3827, 267, 2063, 1569, 281, 476, 1556, 4873, 476, 1708, 273, 269, 513, 454, 298, 753, 328, 830, 267, 654, 269, 918, 1421, 631, 1872, 600, 2041, 267, 681, 269, 918, 1421, 2311, 6748, 342, 1125, 267, 661, 1421, 20613, 995, 320, 267, 590, 269, 570, 1421, 715, 572, 516, 14150, 267, 966, 1421, 590, 572, 330, 600, 520, 974, 267, 570, 1421, 715, 531, 1872, 5984, 267, 589, 1421, 595, 20269, 267, 661, 269, 590, 1421, 590, 9895, 701, 321, 11445, 267, 808, 269, 595, 1421, 543, 1772, 684, 9857, 267, 808, 269, 645, 12727, 2422, 540, 13947, 10173, 25221, 11255, 28634, 2339, 543, 3327, 24785, 9830, 282, 2963, 689, 606, 13016, 4683, 11175, 538, 10783, 5800, 531, 2749, 267, 24063, 267, 645, 10157, 5398, 2657, 267, 476, 2420, 267, 476, 15094, 274, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 14093, 277, 4882, 12553, 8660, 268, 28873, 268, 9610, 1428, 2914, 267, 476, 1708, 273, 269, 513, 454, 11390, 7534, 267, 590, 1421, 700, 1190, 572, 267, 595, 1421, 2667, 600, 16211, 267, 661, 11607, 300, 1421, 8935, 3387, 807, 267, 570, 1421, 715, 262, 291, 2255, 2129, 12875, 2946, 267, 661, 1421, 31506, 341, 664, 267, 717, 1421, 4432, 7666, 785, 328, 267, 715, 1421, 21081, 1512, 267, 595, 1421, 543, 962, 984, 537, 2946, 267, 966, 12727, 3979, 19848, 8328, 2506, 3827, 22802, 585, 9362, 543, 5536, 267, 661, 6717, 4696, 1496, 11907, 1305, 3910, 4179, 2517, 8742, 3820, 270, 1015, 269, 26562, 2918, 270, 6321, 267, 476, 1708, 271, 269, 513, 454, 11390, 7534, 267, 590, 1421, 700, 1190, 572, 267, 595, 1421, 2667, 600, 16211, 267, 661, 11607, 300, 1421, 8935, 3387, 807, 267, 570, 1421, 715, 262, 291, 2255, 2129, 267, 661, 269, 570, 1421, 717, 5864, 1329, 267, 590, 1421, 4432, 7666, 785, 328, 267, 715, 1421, 21081, 1512, 267, 595, 1421, 543, 962, 984, 537, 2946, 267, 966, 12727, 3979, 27643, 5434, 11891, 585, 9362, 543, 5536, 689, 476, 1960, 271, 547, 476, 1001, 276, 267, 3047, 5204, 560, 269, 2233, 269, 4578, 267, 476, 1724, 267, 476, 3607, 280, 272, 1700, 24907, 276, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 31982, 275, 270, 612, 323, 268, 1724, 268, 3607, 280, 272, 268, 1708, 272, 267, 476, 1708, 272, 269, 513, 267, 536, 267, 524, 267, 546, 454, 298, 327, 18344, 267, 631, 269, 594, 12727, 4144, 19012, 267, 12119, 543, 3018, 17058, 1700, 15553, 1742, 7648, 540, 2666, 1377, 17645, 9830, 538, 606, 4683, 1858, 538, 3152, 595, 23879, 267, 30287, 269, 3933, 527, 269, 8178, 1421, 476, 14983, 267, 476, 4097, 280, 1700, 3607, 273, 267, 476, 1220, 280, 269, 513, 454, 299, 4821, 267, 590, 1421, 17921, 342, 9934, 267, 590, 1421, 4425, 619, 2742, 267, 918, 269, 674, 1421, 10507, 7719, 267, 670, 1421, 2806, 523, 267, 594, 1421, 9324, 1512, 8709, 3541, 22167, 267, 670, 269, 589, 269, 595, 1421, 918, 1503, 267, 631, 269, 595, 1421, 26541, 2006, 267, 670, 1421, 645, 832, 323, 528, 742, 267, 570, 1421, 543, 22784, 660, 324, 267, 589, 12727, 10829, 4328, 8781, 4398, 538, 19251, 659, 885, 1210, 519, 5223, 689, 519, 18858, 1842, 335, 8879, 16424, 19639, 618, 630, 307, 4629, 303, 6865, 296, 1070, 2311, 21573, 269, 6314, 269, 4284, 1421, 476, 736, 267, 476, 9083, 4817, 1700, 9818, 1015, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 31982, 275, 270, 659, 335, 268, 736, 268, 9083, 4817, 268, 1708, 271, 267, 476, 1708, 271, 269, 513, 454, 27455, 6588, 325, 267, 808, 1421, 632, 25362, 724, 267, 808, 1421, 2480, 515, 788, 20447, 267, 681, 1421, 645, 832, 323, 528, 742, 267, 570, 1421, 17921, 342, 9934, 267, 590, 1421, 543, 670, 848, 330, 2086, 267, 744, 12727, 23990, 7811, 15977, 3561, 585, 2366, 514, 601, 268, 276, 24888, 281, 12539, 24785, 2698, 6241, 23023, 267, 13814, 4659, 585, 6611, 3194, 267, 519, 13814, 267, 22804, 2177, 4149, 276, 303, 268, 4041, 309, 273, 7304, 303, 268, 16573, 267, 476, 1001, 279, 269, 513, 454, 299, 785, 26408, 267, 808, 1421, 774, 832, 5459, 267, 590, 1421, 543, 18379, 817, 517, 267, 594, 12727, 12539, 3933, 6448, 538, 744, 340, 698, 611, 537, 326, 537, 267, 8738, 330, 2088, 674, 553, 334, 1107, 589, 6476, 1063, 4683, 4282, 267, 4155, 2515, 543, 538, 13652, 1553, 7403, 267, 4826, 5794, 14606, 15724, 1421, 476, 6642, 267, 476, 24833, 1700, 31874, 267, 476, 1220, 279, 269, 513, 454, 299, 24926, 267, 2473, 1421, 18708, 267, 590, 1421, 9149, 267, 1627, 1421, 27958, 267, 589, 1421, 1284, 11232, 267, 590, 1421, 543, 20568, 267, 590, 12727, 4427, 572, 1783, 531, 9472, 1983, 543, 12886, 540, 2518, 4832, 1395, 810, 976, 538, 519, 715, 4753, 303, 8693, 5983, 4751, 3590, 4528, 476, 273, 267, 29725, 269, 13552, 1421, 476, 5655, 267, 476, 16825, 278, 1700, 5611, 279, 267, 476, 1001, 275, 269, 513, 454, 21547, 291, 10735, 267, 595, 269, 717, 1421, 631, 770, 5766, 13519, 27622, 267, 808, 11607, 303, 1421, 700, 2795, 1676, 267, 808, 269, 700, 1421, 670, 539, 601, 3780, 267, 808, 269, 918, 1421, 715, 817, 541, 267, 681, 1421, 543, 654, 4875, 267, 667, 12727, 6480, 26305, 19349, 12753, 540, 9436, 8166, 267, 3327, 24785, 543, 3327, 8166, 1210, 9682, 7422, 267, 2311, 21573, 269, 6314, 269, 4284, 1421, 476, 2537, 267, 476, 4097, 280, 274, 1700, 31620, 277, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 31982, 275, 270, 659, 335, 268, 2537, 268, 4097, 280, 274, 268, 1708, 274, 267, 476, 1708, 274, 269, 513, 267, 536, 454, 300, 871, 333, 1157, 267, 808, 12727, 6052, 543, 2910, 273, 12998, 1239, 24604, 267, 12539, 2494, 698, 1421, 476, 273, 267, 476, 6245, 1700, 13078, 267, 476, 1001, 272, 269, 513, 454, 300, 4673, 529, 267, 661, 269, 589, 269, 543, 654, 1221, 514, 3240, 518, 267, 595, 12727, 5794, 2298, 1764, 540, 27556, 543, 28537, 13674, 5434, 538, 4000, 630, 291, 21201, 5025, 325, 878, 320, 1070, 30287, 269, 2233, 269, 3353, 565, 1421, 476, 2004, 267, 476, 13040, 4375, 1700, 13040, 3393, 267, 476, 1001, 277, 269, 513, 454, 18250, 298, 664, 267, 918, 1421, 654, 1993, 1910, 267, 590, 269, 595, 1421, 3026, 15590, 330, 1941, 267, 570, 1421, 4432, 639, 345, 330, 1171, 545, 345, 267, 808, 1421, 661, 25632, 1359, 518, 267, 808, 269, 681, 1421, 543, 5153, 2380, 267, 645, 269, 645, 12727, 10495, 540, 2666, 2861, 11626, 7422, 585, 19027, 540, 8511, 3154, 5434, 689, 606, 4683, 3148, 267, 623, 269, 14844, 331, 269, 6298, 269, 2233, 269, 7330, 267, 476, 11820, 267, 476, 279, 5655, 274, 1700, 279, 5655, 279, 267, 476, 1001, 273, 269, 513, 454, 300, 565, 617, 267, 589, 1421, 28635, 30929, 267, 700, 1421, 2672, 732, 345, 267, 631, 1421, 645, 659, 1889, 3563, 267, 808, 1421, 14576, 267, 594, 11607, 306, 1421, 543, 661, 747, 10458, 267, 589, 12727, 634, 23817, 5308, 268, 276, 11626, 2489, 10009, 2203, 281, 6399, 2916, 543, 1646, 689, 631, 2207, 6938, 547, 674, 1953, 320, 267, 15306, 269, 1065, 1421, 8331, 2930, 5359, 267, 476, 1556, 1700, 4391, 267, 717, 306, 15598, 11053, 300, 269, 18733, 7871, 269, 1001, 273, 267, 476, 1001, 273, 269, 513, 267, 536, 267, 524, 267, 546, 454, 301, 4753, 303, 281, 715, 4753, 303, 674, 301, 299, 7358, 1049, 7844, 6820, 18858, 1842, 335, 8879, 1323, 26087, 525, 267, 11173, 689, 5147, 476, 1960, 280, 267, 3194, 4578, 25201, 693, 519, 2817, 4741, 585, 27321, 3194, 267, 32492, 543, 6176, 7010, 12524, 1496, 11907, 1305, 3910, 645, 30629, 2910, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 2004, 277, 276, 22230, 277, 300, 271, 6246, 290, 277, 267, 476, 1220, 271, 269, 513, 454, 301, 1408, 11420, 267, 744, 11607, 298, 12727, 15444, 7968, 270, 7417, 288, 2011, 12376, 656, 12998, 11891, 3391, 1504, 476, 1001, 274, 267, 14502, 5583, 547, 5965, 3084, 12998, 6427, 1559, 267, 3864, 5113, 10837, 267, 476, 1556, 1700, 2537, 267, 9768, 476, 7818, 280, 3066, 22659, 29889, 278, 267, 476, 1001, 274, 269, 513, 454, 302, 6767, 267, 570, 1421, 645, 684, 267, 681, 1421, 20943, 12112, 267, 966, 1421, 5440, 2643, 14150, 267, 623, 1421, 16199, 2313, 577, 752, 267, 631, 1421, 3057, 1633, 267, 717, 1421, 700, 879, 341, 14513, 267, 570, 1421, 13744, 553, 267, 631, 1421, 25120, 1910, 583, 990, 267, 590, 1421, 715, 1695, 832, 7288, 267, 2098, 1421, 1696, 620, 12727, 8210, 5558, 543, 24604, 538, 513, 1989, 1342, 539, 3327, 8166, 5434, 11891, 267, 14600, 580, 269, 11154, 269, 31854, 269, 3794, 1421, 476, 2190, 267, 476, 1911, 278, 1700, 10755, 271, 267, 476, 1001, 280, 269, 513, 454, 302, 516, 1375, 542, 328, 267, 717, 269, 667, 1421, 12113, 571, 1470, 267, 674, 269, 631, 1421, 595, 23774, 320, 267, 631, 1421, 631, 2863, 6756, 267, 631, 1421, 5576, 320, 2378, 267, 661, 1421, 2871, 11170, 31651, 267, 667, 1421, 3752, 9579, 334, 267, 661, 1421, 13660, 20482, 267, 631, 1421, 31473, 267, 631, 1421, 543, 966, 793, 10620, 267, 661, 12727, 8693, 1689, 538, 513, 4657, 1158, 281, 17502, 1470, 20300, 543, 6639, 13289, 267, 9431, 10850, 543, 3466, 593, 2518, 8511, 3154, 5434, 689, 11581, 294, 2752, 642, 269, 476, 276, 269, 271, 267, 6820, 30287, 269, 26284, 1421, 476, 3583, 267, 476, 9083, 12573, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 3052, 5979, 523, 341, 15939, 269, 1708, 272, 269, 9083, 12573, 267, 476, 1708, 272, 269, 513, 454, 303, 663, 5674, 267, 590, 1421, 717, 2246, 600, 267, 681, 1421, 17921, 342, 9934, 267, 590, 1421, 11709, 14216, 22167, 267, 670, 269, 667, 1421, 19759, 822, 27525, 267, 623, 1421, 645, 832, 323, 528, 742, 267, 570, 1421, 670, 848, 330, 2086, 267, 744, 1421, 8092, 6588, 325, 267, 808, 1421, 24729, 267, 623, 1421, 8709, 918, 655, 5155, 267, 570, 1421, 670, 5622, 613, 557, 523, 267, 681, 1421, 8709, 1261, 525, 267, 681, 1421, 31297, 267, 590, 269, 623, 1421, 8575, 553, 752, 24329, 267, 808, 269, 667, 1421, 543, 2806, 523, 267, 594, 12727, 31420, 7422, 7866, 3665, 15655, 24694, 689, 513, 2067, 3154, 1134, 9514, 719, 267, 623, 269, 14844, 331, 269, 6298, 269, 2233, 269, 7330, 267, 476, 14138, 267, 476, 28091, 10602, 1700, 28091, 10037, 267, 476, 1001, 280, 269, 513, 454, 303, 1046, 267, 670, 1421, 8614, 784, 267, 590, 1421, 5244, 267, 670, 1421, 6997, 345, 990, 12921, 4512, 267, 700, 269, 667, 1421, 543, 14332, 2006, 267, 918, 269, 654, 12727, 1323, 4879, 540, 12998, 4162, 540, 8832, 25955, 4872, 1210, 2230, 13871, 7422, 540, 2910, 273, 267, 2910, 267, 543, 12971, 273, 267, 22647, 11576, 269, 30287, 1421, 476, 22724, 267, 476, 12208, 26727, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 25331, 572, 269, 1708, 271, 269, 12208, 26727, 267, 476, 1708, 272, 269, 513, 267, 536, 454, 303, 1046, 267, 918, 1421, 2506, 332, 976, 267, 700, 269, 918, 1421, 15651, 267, 2098, 1421, 543, 25120, 267, 808, 269, 661, 12727, 14066 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1673, 4593, 19303, 3652, 269, 3958, 267, 12820, 991, 547, 1683, 4763, 2866, 3292, 602, 4001, 4600, 827, 1585, 4529, 267, 9821, 267, 543, 4978, 865, 789, 666, 1628, 16614, 3347, 780, 2252, 596, 2479, 7237, 7292, 7130, 693, 960, 267, 1867, 621, 5612, 547, 1480, 2200, 610, 2359, 269, 5901, 5638, 540, 1022, 13685, 267, 1519, 7389, 267, 2053, 267, 6753, 267, 22168, 267, 543, 3877, 827, 1018, 5949, 269, 1635, 7555, 909, 1996, 7292, 9186, 267, 596, 3565, 547, 2870, 513, 10930, 543, 3655, 790, 337, 1604, 585, 3025, 780, 8855, 267, 1100, 835, 19262, 547, 1745, 13943, 610, 896, 1998, 4240, 1317, 540, 741, 5198, 269, 8625, 267, 1577, 781, 1491, 2962, 547, 2327, 1169, 9036, 568, 8537, 267, 3309, 267, 543, 1863, 689, 7130, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12709, 11847, 2176, 14549, 7126, 18614, 1862, 20578, 7797, 910, 476, 4391, 323, 272, 8619, 31134, 274, 12404, 5274, 7126, 18614, 11426, 7797, 1401, 1356, 14186, 281, 12925, 267, 8644, 5984, 267, 24381, 11939, 807, 267, 20528, 267, 27816, 13163, 540, 22640, 267, 5274, 7126, 267, 543, 8534, 23037, 676, 13474, 23037, 676, 8791, 769, 713, 3296, 1315, 12925, 15445, 12834, 8791, 476, 272, 269, 21727, 585, 519, 6715, 31772, 540, 519, 12287, 267, 26451, 15213, 689, 281, 513, 269, 1488, 4226, 9009, 3493, 337, 10474, 540, 5020, 543, 824, 1133, 32016, 610, 7971, 1227, 7763, 17300, 23703, 902, 536, 269, 2598, 1952, 30970, 524, 269, 32202, 675, 543, 4033, 14265, 601, 267, 769, 16058, 267, 610, 26440, 15665, 9615, 610, 15722, 7321, 546, 269, 1488, 4226, 9009, 1488, 6135, 610, 5489, 1549, 552, 269, 9324, 658, 540, 12876, 5398, 23632, 535, 269, 1488, 4226, 9009, 610, 1133, 32016, 3955, 12401, 609, 21041, 267, 7731, 267, 5851, 267, 610, 4856, 22046, 775, 8791, 476, 273, 269, 21727, 585, 6406, 19115, 625, 267, 26451, 281, 513, 269, 15213, 540, 16594, 543, 4964, 536, 269, 15213, 540, 13458, 995, 13909, 543, 5948, 524, 269, 15213, 540, 15215, 546, 269, 15213, 540, 11873, 267, 2902, 958, 2598, 31419, 31080, 267, 10466, 540, 25083, 525, 267, 543, 6465, 6804, 31080, 8791, 476, 274, 269, 15213, 547, 12160, 622, 538, 519, 11572, 6713, 8791, 476, 275, 269, 4856, 745, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 31071, 4498, 14536, 1299, 26521, 1315, 30101, 26521, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3408, 540, 12144, 4144, 19166, 545, 5675, 256, 5620, 596, 2479, 4862, 540, 519, 2165, 834, 323, 5362, 1602, 320, 22172, 898, 4016, 547, 519, 3350, 267, 22502, 267, 610, 9194, 540, 1004, 689, 741, 3312, 22657, 547, 824, 2694, 540, 519, 1158, 269, 4653, 267, 649, 786, 4685, 883, 12144, 4144, 19166, 545, 5675, 267, 799, 6212, 593, 519, 3332, 2813, 676, 4589, 945, 723, 5072, 538, 519, 12144, 855, 1631, 2661, 11992, 269, 901, 4241, 1106, 540, 1603, 2337, 721, 1174, 1114, 4529, 267, 2833, 267, 543, 5380, 1247, 10223, 3838, 1480, 4664, 543, 2984, 780, 5331, 1373, 4535, 538, 513, 7524, 1747, 899, 25706, 267, 2558, 514, 21059, 267, 610, 18010, 267, 11303, 676, 18932, 8916, 267, 12667, 4778, 267, 9159, 2575, 267, 543, 2189, 5389, 269, 3767, 4952, 3001, 2476, 689, 602, 9341, 27032, 547, 513, 4625, 1007, 1604, 267, 971, 607, 1715, 3840, 4975, 267, 17842, 267, 610, 5507, 269, 1306, 596, 3082, 547, 707, 1007, 1753, 267, 596, 4163, 609, 596, 8823, 267, 9821, 267, 543, 1893, 7506, 689, 707, 4332, 2897, 269, 1452, 2609, 11100, 609, 707, 1007, 10450, 267, 2870, 513, 3638, 13795, 540, 4555, 267, 4606, 267, 543, 5876, 269, 2334, 781, 1018, 621, 1797, 547, 581, 851, 540, 519, 12144, 29563, 543, 1946, 713, 2186, 540, 1603, 666, 2709, 865, 1454, 3178, 543, 4763, 780, 4131, 781, 1491, 513, 6251, 1413, 693, 930, 3344, 540, 12144, 4144, 19166, 545, 5675, 998, 1585, 3029, 971, 607, 9089, 267, 9954, 267, 543, 3594, 269, 1284, 786, 1451, 827, 875, 891, 5830, 2769, 2933, 1210, 1913, 543, 4798, 6273, 676, 741, 6561, 543, 9772, 2553, 6766, 676, 2789, 2686, 10080, 780, 1262, 5591, 12069, 16001, 265, 834, 22102, 6816, 257, 676, 1656, 16699, 2274, 11803, 910, 5590, 1310, 2622, 2782, 4083, 267, 713, 3209, 5205, 1079, 15185, 1765, 821, 3703, 267, 835, 20299, 4618, 1765, 3369, 846, 2729, 18595, 710, 950, 789, 1847, 547, 4789, 5275, 1732, 3255, 269, 3414, 20367, 6386, 267, 3988, 1995, 1142, 1915, 781, 9620, 609, 3961, 267, 2648, 267, 543, 10343, 9624, 7292, 13253, 780, 1262, 22437, 4479, 26888, 16001, 265, 834, 26855, 3701, 585, 4521, 333, 932, 4202, 257, 676, 26826, 918, 516, 17458, 1107, 769, 713, 19511, 4015, 267, 918, 516, 17458, 10905, 8225, 2528, 609, 12144, 11052, 267, 3695, 3584, 971, 607, 1920, 6384, 267, 4984, 267, 543, 2123, 2208, 269, 2290, 6648, 11331, 834, 300, 24546, 17897, 257, 18991, 14550, 19911, 28101, 585, 6689, 28782, 6170, 538, 519, 3636, 9784, 540, 519, 3141, 27940, 8898, 12144, 10195, 780, 1262, 13625, 26888, 16001, 265, 834, 288, 9877, 540, 769, 5174, 15277, 257, 676, 26826, 645, 3420, 1107, 4014, 711, 12799, 13615, 547, 519, 12144, 29563, 267, 645, 3420, 9356, 2390, 3395, 909, 1063, 2829, 543, 9163, 538, 3013, 269, 3571, 22161, 8826, 4773, 13469, 609, 1346, 7680, 1272, 13289, 543, 10478, 585, 10362, 780, 2026, 649, 3460, 4514, 883, 12144, 4144, 19166, 545, 5675, 267, 3314, 602, 1169, 5856, 6770, 1945, 2027, 547, 519, 3349, 1759, 593, 741, 1378, 2833, 543, 1686, 269, 1635, 8508, 3309, 9739, 543, 2984, 267, 649, 10802, 938, 1620, 540, 519, 1158, 1472, 721, 543, 5660, 519, 4190, 6988, 1369, 8103, 269, 1924, 1577, 781, 7832, 1927, 593, 713, 5339, 7045, 267, 14120, 519, 1379, 540, 1913, 547, 1921, 267, 8300, 267, 543, 3560, 721, 2066, 942, 543, 2230, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 16336, 29246, 534, 534, 568, 513, 6138, 543, 5824, 14357, 538, 570, 2086, 320, 267, 8419, 269, 1261, 568, 513, 5065, 540, 12309, 2443, 320, 25386, 267, 1651, 784, 745, 748, 2244, 799, 2934, 30326, 538, 1010, 960, 563, 288, 16336, 645, 3420, 568, 519, 2278, 540, 519, 1557, 4015, 267, 589, 9877, 540, 769, 5174, 15277, 267, 543, 519, 9375, 540, 519, 4739, 16320, 1108, 267, 1215, 547, 3503, 513, 23397, 281, 476, 736, 14958, 10749, 6168, 5675, 267, 7183, 540, 6904, 17451, 631, 1549, 5675, 267, 1312, 856, 24199, 654, 7417, 298, 689, 4201, 1993, 1371, 7734, 269, 1261, 568, 849, 519, 2278, 540, 17413, 540, 519, 30159, 267, 15537, 3751, 781, 634, 10610, 267, 543, 645, 2931, 9405, 269, 1261, 3323, 519, 5339, 4760, 20122, 691, 267, 799, 646, 12995, 585, 8938, 1296, 267, 543, 568, 4867, 519, 1071, 24737, 3218, 540, 654, 3008, 630, 24552, 1299, 11846, 1070, 670, 4696, 267, 543, 10374, 9452, 267, 7043, 630, 517, 15240, 871, 1040, 1261, 2729, 538, 12309, 543, 568, 2228, 281, 593, 12108, 543, 17749, 693, 7711, 320, 16336, 1029, 321, 3420, 267, 543, 519, 1158, 2647, 1357, 693, 513, 16336, 321, 3420, 14492, 563, 288, 16336, 918, 516, 17458, 568, 519, 2278, 540, 519, 6965, 4015, 14803, 3701, 585, 4521, 333, 932, 4202, 630, 10817, 1716, 3821, 661, 1885, 267, 476, 1001, 277, 264, 543, 519, 2110, 1650, 4015, 1411, 543, 2725, 267, 5617, 784, 532, 630, 307, 697, 549, 701, 7734, 267, 476, 1001, 279, 1070, 799, 4465, 519, 21007, 1090, 24734, 1234, 1228, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10111, 11194, 4144, 19166, 545, 5675, 257, 607, 851, 540, 834, 299, 25604, 14473, 23333, 28421, 16739, 1315, 12144, 1299, 5824, 1977, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1691, 281, 4826, 9615, 543, 8830, 2305, 692, 5970, 596, 2479, 2219, 827, 1141, 707, 7148, 1216, 2501, 689, 286, 6969, 621, 4991, 547, 707, 2777, 267, 621, 814, 547, 979, 998, 513, 2027, 1184, 1572, 1216, 2126, 269, 901, 2337, 2327, 602, 519, 1216, 568, 2922, 543, 2973, 585, 721, 547, 4235, 256, 2913, 781, 1451, 782, 827, 875, 713, 1568, 780, 5575, 267, 1577, 781, 2911, 827, 1946, 649, 991, 547, 1521, 938, 1216, 269, 4634, 1498, 8933, 267, 12647, 267, 543, 23854, 1522, 1413, 2312, 267, 789, 666, 1869, 723, 6263, 5536, 543, 18784, 7103, 602, 5749, 1405, 1434, 585, 721, 547, 8532, 269, 6884, 267, 891, 5536, 666, 1256, 2270, 5739, 17900, 602, 1223, 1118, 721, 7210, 269, 2334, 781, 1946, 621, 781, 865, 1271, 547, 2973, 519, 1216, 1354, 1210, 621, 780, 3086, 267, 1577, 781, 4685, 883, 519, 3268, 3238, 538, 8156, 1216, 1384, 3721, 476, 272, 281, 3213, 698, 1637, 543, 4469, 665, 27218, 454, 1103, 713, 1900, 267, 6464, 609, 513, 2318, 5279, 616, 3773, 547, 519, 1216, 269, 1452, 9901, 6464, 948, 4482, 11874, 9901, 13897, 543, 824, 1507, 5536, 1927, 269, 1879, 519, 5536, 2097, 1927, 267, 789, 1106, 3677, 804, 7927, 1572, 1166, 665, 780, 5331, 952, 596, 1185, 20057, 956, 630, 1492, 18660, 5536, 264, 13735, 1472, 538, 707, 2113, 802, 327, 820, 630, 1492, 1216, 1040, 1635, 4946, 930, 6070, 630, 1492, 9901, 3114, 1070, 1346, 20057, 956, 786, 1376, 23578, 1927, 547, 1711, 2462, 25098, 1107, 586, 3089, 256, 1809, 1810, 1405, 5855, 282, 713, 14407, 1383, 2337, 721, 1174, 1018, 4523, 1282, 30243, 1637, 543, 1166, 665, 27218, 780, 3721, 476, 273, 281, 20767, 2939, 566, 454, 5629, 519, 1166, 665, 814, 4646, 267, 8904, 27605, 3388, 1524, 2509, 519, 5377, 540, 519, 8708, 269, 4438, 11159, 566, 267, 1034, 540, 519, 18219, 1166, 665, 3936, 956, 693, 519, 5377, 267, 6028, 3297, 5266, 20501, 1216, 1657, 621, 269, 6056, 540, 3843, 547, 5094, 10217, 21360, 689, 519, 1964, 540, 707, 2113, 802, 327, 820, 676, 15603, 621, 16173, 547, 519, 5377, 780, 3721, 476, 274, 281, 674, 2830, 1674, 454, 5475, 11159, 566, 267, 519, 5594, 9597, 5652, 1216, 4422, 998, 12086, 1500, 540, 5070, 267, 18574, 267, 543, 23315, 269, 1452, 2326, 4894, 1022, 6967, 5536, 267, 899, 7452, 267, 15495, 267, 4551, 267, 8290, 267, 543, 824, 14107, 269, 898, 781, 2147, 547, 2269, 1456, 838, 698, 515, 26152, 30653, 1107, 1152, 3079, 540, 20414, 1804, 4773, 267, 891, 12086, 6952, 519, 7141, 344, 3283, 2439, 3721, 476, 275, 281, 2598, 26529, 454, 7661, 267, 20841, 610, 1776, 21149, 656, 568, 3773, 547, 6146, 1022, 6967, 17900, 269, 901, 5849, 602, 519, 1216, 3788, 2922, 1247, 10707, 998, 12992, 547, 3914, 938, 5321, 269, 25914, 710, 6411, 899, 513, 15705, 8165, 1055, 3983, 16921, 630, 3455, 916, 264, 547, 1832, 938, 6704, 1216, 5150, 2439, 3721, 476, 276, 281, 19554, 543, 17392, 454, 5629, 5701, 267, 519, 1216, 568, 6740, 538, 13688, 2394, 2877, 269, 3245, 972, 267, 621, 8928, 998, 811, 12992, 547, 1205, 9447, 1318, 547, 938, 8075, 256, 1656, 1175, 899, 602, 267, 649, 723, 1569, 547, 2973, 267, 2922, 6704, 1216, 7064, 547, 1216, 2126, 3157, 780, 23087, 454, 1103, 713, 3184, 267, 649, 4121, 827, 1216, 2126, 543, 22729, 269, 18786, 609, 30243, 1637, 543, 1166, 665, 27218, 267, 4553, 676, 11159, 566, 267, 19288, 267, 771, 26529, 267, 4859, 267, 543, 3892, 267, 1169, 6749, 540, 1216, 25457, 1585, 5933, 1354, 8757, 938, 512, 2355, 269, 2060, 891, 2409, 538, 1747 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18628, 2160, 1353, 3695, 875, 3755, 6330, 5691, 5624, 2687, 547, 9938, 2438, 10851, 630, 324, 3052, 1421, 15982, 267, 2123, 267, 1514, 267, 1857, 264, 547, 3986, 21599, 543, 1514, 4527, 538, 15283, 5468, 780, 265, 20685, 673, 13832, 585, 11565, 18976, 3642, 15846, 3864, 8189, 7840, 10771, 2418, 899, 2463, 585, 1480, 2924, 267, 7347, 1145, 267, 11413, 267, 4763, 267, 1875, 1673, 4593, 19303, 267, 2825, 8171, 267, 543, 6848, 4324, 538, 3642, 1646, 543, 10073, 3157, 780, 2162, 10390, 692, 2026, 649, 1796, 693, 519, 10511, 823, 540, 17985, 296, 267, 519, 2956, 540, 670, 5746, 3112, 581, 936, 26061, 269, 27759, 585, 606, 2085, 1141, 10995, 6191, 30598, 7258, 3425, 7569, 11826, 7634, 267, 3860, 1966, 6061, 267, 543, 3743, 19642, 269, 3414, 15834, 5698, 267, 5483, 7521, 267, 543, 8537, 7589, 267, 649, 666, 3337, 513, 2104, 6353, 676, 18900, 1623, 6798, 2670, 2864, 982, 29711, 1014, 4655, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 18131, 538, 17270, 454, 8980, 296, 568, 28527, 2507, 1772, 670, 5746, 27973, 888, 1607, 2680, 568, 1863, 543, 1930, 547, 519, 1857, 11754, 547, 5616, 25038, 454, 1607, 11000, 568, 538, 16512, 609, 1489, 585, 6552, 20343, 912, 9288, 7566, 9517, 281, 476, 9032, 275, 476, 24833, 272, 476, 16020, 277, 454, 2171, 616, 693, 513, 2981, 1049, 22882, 538, 7384, 267, 538, 519, 22984, 540, 606, 16411, 538, 7207, 540, 13654, 3642, 3631, 602, 949, 4166, 6474, 610, 9765, 6093, 1480, 5759, 585, 513, 2647, 3099, 540, 5042, 4247, 267, 513, 24182, 1419, 17941, 14464, 4937, 11106, 630, 8980, 296, 1040, 19793, 1324, 17985, 296, 630, 528, 1256, 5702, 16042, 621, 264, 786, 2981, 7384, 267, 609, 29298, 15449, 908, 998, 782, 3344, 540, 2486, 269, 901, 568, 513, 2565, 4090, 711, 1152, 585, 10724, 4804, 1382, 267, 855, 849, 585, 519, 2361, 540, 5274, 4211, 558, 13459, 19983, 630, 295, 5746, 1916, 1103, 713, 2911, 267, 594, 786, 5581, 1018, 594, 1611, 630, 663, 1018, 594, 798, 10691, 1611, 264, 676, 968, 8980, 296, 892, 630, 663, 1644, 2035, 267, 899, 2706, 842, 3485, 775, 1070, 543, 1250, 3460, 689, 17985, 296, 7729, 10364, 547, 18468, 649, 616, 1369, 2947, 1296, 540, 8757, 713, 24182, 269, 594, 786, 1287, 1865, 875, 713, 1007, 5736, 540, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14549, 4211, 558, 13459, 19983, 630, 295, 5746, 17983, 607, 851, 540, 834, 306, 11799, 1315, 15465, 3163, 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, 1724, 281, 32285, 22048, 281, 589, 6206, 547, 6732, 11773, 543, 13229, 6764, 592, 572, 1975, 2056, 6513, 692, 296, 269, 4985, 454, 288, 269, 11957, 540, 2348, 513, 2178, 2228, 4527, 585, 2413, 4213, 454, 289, 269, 11137, 540, 9612, 5422, 26659, 630, 10345, 302, 264, 607, 513, 1942, 15807, 3070, 454, 290, 269, 17583, 1063, 20949, 7836, 1852, 543, 22343, 585, 22048, 2533, 692, 2862, 269, 4197, 22048, 454, 288, 269, 9502, 540, 22048, 607, 519, 11938, 540, 7270, 585, 3406, 2599, 1267, 3817, 630, 306, 2207, 11679, 994, 289, 269, 19247, 540, 1585, 2553, 3238, 538, 2500, 22048, 2994, 454, 290, 269, 11588, 540, 7598, 3811, 22048, 12485, 267, 971, 607, 2799, 5214, 6808, 543, 4824, 2228, 15287, 692, 7656, 269, 32285, 22048, 13268, 1137, 454, 288, 269, 17564, 593, 1946, 26622, 6927, 950, 7446, 606, 22048, 10189, 454, 289, 269, 11790, 7133, 14499, 540, 22048, 2533, 267, 971, 607, 1788, 9165, 267, 2754, 10639, 267, 4087, 267, 543, 6791, 454, 290, 269, 1215, 547, 6218, 1114, 22048, 15004, 1759, 593, 1871, 267, 2132, 593, 5092, 630, 4629, 296, 1070, 543, 6075, 8039, 454, 291, 269, 7464, 3734, 2013, 1353, 11744, 519, 1279, 3856, 5383, 540, 10115, 538, 10097, 22048, 3435, 692, 4353, 269, 18789, 5288, 12333, 7896, 454, 288, 269, 18948, 540, 798, 32717, 3917, 712, 1345, 630, 14888, 312, 264, 8957, 17849, 3318, 22048, 3028, 7426, 454, 289, 269, 22436, 543, 11393, 540, 1312, 4485, 454, 290, 269, 9669, 585, 8939, 519, 1318, 22048, 8116, 610, 22639, 1369, 707, 6578, 10148, 454, 291, 269, 7351, 2872, 3466, 5935, 519, 2104, 540, 22048, 267, 10771, 519, 991, 585, 4274, 6351, 692, 309, 269, 20074, 32285, 22048, 11150, 454, 288, 269, 14265, 1017, 2609, 540, 606, 2500, 543, 22237, 22048, 1544, 454, 289, 269, 2201, 21935, 543, 1055, 21935, 11938, 2409, 547, 3986, 590, 2207, 303, 31213, 1510, 8840, 519, 4871, 454, 290, 269, 9828, 547, 6895, 3356, 267, 2268, 2773, 267, 543, 4188, 11044, 9935, 454, 291, 269, 15979, 538, 22048, 281, 3680, 532, 3109, 11058, 2553, 1247, 20170, 547, 3043, 11058, 3741, 692, 9654, 269, 21344, 22048, 7767, 906, 609, 6764, 592, 572, 1975, 2056, 6513, 454, 288, 269, 17291, 2127, 1141, 4213, 949, 936, 4944, 754, 11032, 947, 3320, 593, 6725, 3646, 454, 289, 269, 28552, 1582, 16162, 23002, 543, 929, 28619, 950, 782, 20814, 2200, 2509, 22048, 7341, 454, 290, 269, 15043, 513, 1134, 3613, 19099, 2883, 2359, 1062, 547, 3950, 9276, 543, 2327, 12477, 454, 291, 269, 10289, 1863, 610, 1970, 21057, 8925, 547, 2442, 22048, 2645, 543, 3301, 692, 23997, 269, 10390, 454, 288, 269, 22716, 529, 593, 8508, 10097, 22048, 607, 513, 14323, 2208, 4640, 585, 1507, 4213, 454, 289, 269, 11559, 618, 547, 2226, 3743, 2883, 6208, 2429, 519, 1184, 454, 290, 269, 11910, 547, 2962, 585, 2417, 1382, 543, 4052, 6388, 540, 5941, 2035, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 519, 2479, 21608, 3059, 5251, 267, 9591, 513, 7347, 2228, 4527, 568, 16122, 585, 4213, 540, 782, 7306, 269, 9612, 5422, 26659, 630, 10345, 302, 264, 568, 519, 1883, 547, 2228, 1967, 267, 855, 519, 10206, 540, 26622, 1419, 1033, 619, 1082, 689, 13197, 621, 269, 634, 1434, 3377, 568, 602, 10097, 22048, 666, 581, 707, 19044, 547, 2228, 1967, 269, 769, 713, 2376, 267, 649, 3580, 2263, 519, 2956, 540, 10097, 22048, 543, 875, 621, 666, 581, 707, 13374, 547, 8236, 2228, 17636, 267, 609, 513, 1880, 1445, 593, 519, 17161, 22048, 15004, 2282, 803, 454, 763, 5295, 540, 22048, 454, 15507, 5422, 26659, 267, 610, 22048, 267, 568, 519, 2259, 540, 17306, 707, 3896, 547, 2087, 922, 15287, 593, 3406, 2599, 2164, 3817, 630, 306, 2207, 11679, 1040, 898, 779, 513, 15491, 4640, 602, 13315, 513, 2647, 2039, 540, 2553, 543, 1655, 2853, 6322, 693, 1818, 707, 3896, 811, 13267, 547, 3406, 9817, 899, 5616, 267, 29078, 267, 543, 23968, 5622, 563, 19931, 22048, 666, 5838, 513, 21318, 540, 2640, 585, 707, 1870, 267, 1519, 2799, 5214, 6808, 267, 4824, 2228, 15287, 267, 513, 1732, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19808, 592, 572, 1975, 2056, 6513, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 9608, 16010, 1315, 20907, 532, 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, 275, 269, 274, 700, 643, 1464, 692, 7072, 692, 2026, 4683, 2127, 3136, 547, 1332, 543, 4228, 267, 621, 814, 1831, 5051, 1271, 547, 2327, 602, 4872, 4225, 519, 8171, 540, 741, 7264, 269, 769, 2487, 1296, 267, 972, 814, 1044, 3395, 1719, 538, 5009, 561, 643, 1464, 607, 513, 1259, 547, 2087, 2298, 540, 1272, 585, 2749, 17743, 619, 269, 1809, 1018, 1281, 968, 331, 643, 1464, 892, 1611, 4010, 286, 1656, 875, 666, 6608, 3927, 2936, 4507, 543, 7341, 6322, 693, 7393, 561, 643, 1464, 538, 741, 4872, 286, 901, 3296, 786, 2263, 891, 2055, 543, 811, 267, 3246, 606, 538, 3829, 1413, 693, 519, 1909, 540, 2229, 538, 2870, 4264, 543, 561, 22133, 4872, 780, 9377, 1456, 700, 643, 1464, 692, 4263, 922, 4295, 267, 561, 643, 1464, 4016, 547, 519, 6708, 547, 799, 513, 2749, 610, 2146, 6087, 922, 7264, 547, 2661, 2635, 267, 16180, 2729, 269, 2755, 713, 1522, 3100, 899, 513, 3376, 4214, 267, 972, 616, 1896, 1883, 2188, 602, 3565, 547, 2949, 561, 643, 1464, 538, 513, 2016, 1858, 269, 1452, 1331, 1569, 547, 10097, 8027, 267, 6325, 1857, 6283, 267, 2922, 10754, 267, 2973, 2011, 543, 1216, 267, 10731, 3039, 2230, 267, 543, 3255, 585, 1514, 5872, 543, 6278, 269, 1635, 5466, 891, 2115, 543, 14422, 267, 6608, 666, 948, 1711, 2950, 1141, 1004, 1616, 547, 2661, 267, 960, 267, 543, 1404, 780, 9288, 20011, 700, 643, 1464, 692, 3080, 4161, 950, 621, 2501, 547, 5009, 561, 643, 1464, 568, 7893, 621, 538, 513, 5812, 543, 6209, 1259, 269, 1703, 616, 1585, 17523, 543, 10850, 602, 3343, 547, 22945, 1114, 3344, 540, 561, 643, 1464, 267, 971, 607, 3802, 1464, 8464, 267, 18302, 10333, 16863, 267, 543, 5533, 2157, 269, 1717, 267, 1100, 2582, 11973, 666, 7001, 782, 18125, 540, 561, 643, 1464, 267, 1818, 621, 1898, 547, 2015, 2789, 10832, 950, 10442, 513, 2749, 779, 2773, 780, 1103, 3210, 547, 713, 991, 267, 3906, 899, 519, 2622, 2657, 9257, 630, 21766, 1070, 519, 25944, 585, 9483, 29046, 543, 4886, 630, 302, 25929, 1070, 543, 519, 4139, 7027, 585, 10871, 7025, 9024, 328, 2510, 630, 2975, 4041, 296, 264, 723, 2919, 3102, 561, 643, 1464, 30455, 602, 6451, 513, 2039, 540, 2188, 269, 1452, 2645, 1450, 14519, 543, 3173, 547, 5635, 4872, 2066, 2477, 543, 17407, 267, 2697, 1655, 2853, 267, 543, 3950, 3356, 936, 942, 780, 30025, 24727, 543, 15789, 585, 31514, 700, 643, 1464, 692, 2467, 616, 3875, 2081, 602, 2199, 267, 6237, 267, 543, 3084, 6608, 666, 3895, 561, 643, 1464, 1369, 741, 22875, 269, 2368, 1455, 2994, 1331, 1384, 265, 30799, 538, 1857, 6283, 5989, 281, 21278, 6325, 267, 3608, 267, 543, 10097, 1857, 6283, 3681, 2337, 2569, 6808, 20316, 267, 2539, 5434, 267, 543, 2333, 10688, 585, 1346, 1510, 1569, 547, 4357, 6472, 269, 6201, 540, 3811, 1857, 3560, 1949, 666, 581, 1336, 538, 4872, 899, 4354, 527, 756, 320, 267, 8478, 282, 32181, 582, 5451, 267, 21896, 282, 543, 15173, 15158, 267, 3624, 563, 265, 20074, 13159, 6790, 1115, 4507, 281, 13159, 6790, 1115, 616, 2966, 547, 13918, 3755, 540, 782, 6502, 543, 5759, 267, 1519, 19516, 20379, 267, 7814, 1235, 267, 543, 18302, 26348, 269, 1635, 6220, 2934, 899, 2427, 19789, 802, 267, 11332, 28961, 267, 3444, 19789, 802, 267, 543, 1668, 24181, 883, 8265, 6272, 267, 6608, 666, 1711, 10930, 267, 811, 3015, 5624, 602, 5000, 3742, 6283, 543, 1489, 2199, 4213, 563, 265, 26472, 6404, 14025, 1646, 281, 18964, 519, 30398, 540, 10821, 267, 5010, 267, 543, 16351, 2244, 3096, 1369, 6972, 3845, 540, 835, 1776, 11942, 7524, 267, 3309, 16973, 1141, 3232, 29476, 616, 3362, 3015, 676, 3723, 610, 17919, 269, 24908, 14025, 7835, 849, 948, 2569, 18914, 21341, 267, 7413, 2951, 2053, 267, 543, 6175, 829, 21027, 1648, 4616, 563, 265, 3465, 6326, 16719, 10628, 281, 27986, 2067, 2127, 267, 11614, 267, 543, 1930, 5624, 1369, 4683, 5054, 3091, 3875, 2640, 585, 1312, 1480, 1072, 543, 5117, 8647, 269, 5525, 1397, 602, 4598, 547, 2470, 6971, 2566, 267, 10607, 5042, 1599, 267, 543, 25242, 4761, 1062, 2534, 267, 1247, 5265, 9738, 3039, 5624, 1683, 7226, 585, 7320, 267, 10110, 7088, 4248, 20359, 267, 543, 11574, 519, 4683, 3002, 6532, 1198, 563, 265, 25417, 10097, 8027, 7341, 281, 7457, 547, 10097, 267, 1164, 7779, 8027, 568, 2565, 585, 4180, 12581, 1569, 547, 4316, 543, 4227, 6710, 3928 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 26913, 543, 1473, 550, 3293, 4419, 3363, 538, 519, 12144, 1299, 4639, 28851, 910, 29760, 593, 27425, 692, 7072, 912, 5331, 1373, 3144, 2476, 689, 707, 1753, 543, 1920, 547, 960, 1279, 3108, 896, 10792, 2175, 267, 2484, 689, 3388, 596, 4312, 2479, 1634, 269, 901, 5949, 547, 1082, 1004, 2429, 1686, 1282, 2053, 540, 8474, 543, 25034, 3293, 1425, 3363, 269, 4653, 267, 649, 786, 2263, 1018, 891, 2474, 1611, 543, 875, 789, 12936, 1004, 2713, 538, 519, 12144, 543, 4639, 28851, 267, 3226, 538, 27425, 780, 1432, 12984, 26913, 888, 306, 18561, 4016, 547, 519, 9562, 540, 835, 1268, 676, 1776, 269, 4658, 1223, 4444, 267, 6133, 267, 4123, 267, 543, 1256, 27836, 10437, 899, 3959, 269, 6215, 2314, 1185, 1100, 2924, 543, 941, 7142, 547, 960, 1996, 741, 786, 269, 1358, 1419, 5185, 6057, 543, 16970, 2126, 693, 519, 3946, 540, 741, 18544, 269, 19759, 569, 267, 713, 1062, 11478, 585, 5553, 2066, 1585, 2694, 540, 519, 1158, 267, 1519, 519, 17113, 269, 3509, 3979, 2367, 267, 2021, 267, 543, 1453, 941, 9676, 267, 20665, 267, 543, 4547, 547, 4025, 899, 27425, 547, 960, 593, 24914, 780, 16908, 607, 513, 32013, 912, 20228, 2314, 5249, 1279, 3108, 1169, 1554, 593, 1804, 11396, 1572, 24914, 269, 4256, 11645, 3769, 3395, 7031, 971, 607, 10931, 2117, 2033, 267, 10412, 267, 10269, 267, 543, 6995, 269, 12389, 2175, 941, 15265, 282, 3885, 941, 1419, 9674, 267, 543, 19439, 906, 585, 771, 12786, 3539, 9753, 941, 4049, 269, 6736, 6849, 10373, 23434, 267, 930, 12703, 2043, 10692, 1394, 543, 8179, 5191, 780, 763, 10003, 547, 15213, 1107, 634, 20951, 1014, 7169, 630, 9692, 272, 1700, 5197, 275, 2187, 11900, 18944, 676, 12316, 16431, 10825, 998, 2342, 543, 3013, 267, 20665, 20338, 538, 27425, 3459, 8165, 585, 741, 1378, 7115, 538, 476, 9692, 272, 269, 27439, 676, 29752, 3401, 899, 570, 748, 338, 5593, 700, 262, 302, 340, 3200, 675, 267, 789, 10599, 1194, 3943, 267, 5053, 267, 543, 3703, 4229, 936, 1082, 1296, 269, 2991, 1454, 6560, 543, 15093, 267, 27425, 6368, 10294, 922, 7115, 593, 5130, 476, 272, 267, 476, 5197, 275, 1765, 2041, 5765, 519, 1101, 2197, 538, 519, 5375, 25955, 547, 18385, 13373, 880, 8474, 2439, 5715, 550, 3293, 4419, 3363, 281, 1323, 20010, 4813, 540, 4112, 334, 2787, 912, 16729, 519, 20552, 540, 8474, 267, 3864, 2477, 2877, 1007, 2081, 547, 1265, 10464, 4074, 585, 741, 10125, 269, 2290, 3070, 729, 25034, 3293, 1425, 3363, 12544, 4579, 1063, 513, 11832, 543, 606, 16108, 1141, 519, 11832, 8815, 547, 960, 585, 513, 1305, 1297, 540, 1296, 538, 5385, 585, 8574, 547, 513, 1007, 2244, 543, 824, 2640, 269, 1717, 267, 891, 11731, 941, 1419, 15490, 543, 2451, 4600, 8185, 967, 20623, 1540, 267, 16550, 873, 883, 5691, 6125, 720, 2899, 1586, 780, 6635, 337, 2526, 540, 12075, 538, 519, 12144, 912, 6624, 4095, 11082, 3357, 547, 519, 12144, 607, 25034, 3293, 22063, 1310, 8474, 8694, 269, 9737, 476, 8146, 279, 543, 476, 4572, 271, 267, 811, 982, 3368, 513, 2929, 12075, 8452, 538, 24053, 3570, 4805, 269, 6145, 1346, 1354, 873, 267, 789, 1932, 5185, 3875, 2591, 15268, 547, 1272, 538, 513, 4914, 1747, 1247, 2324, 896, 2352, 6381, 269, 3683, 942, 267, 2705, 267, 891, 2950, 3964, 5072, 543, 8329, 3648, 547, 5935, 2199, 4529, 780, 6962, 912, 18698, 3584, 899, 8474, 543, 25034, 3293, 1425, 3363, 666, 581, 4101, 1813, 547, 741, 1950, 2470, 543, 23892, 12583, 269, 8616, 1620, 891, 2621, 2337, 721, 5660, 519, 9620, 28815, 676, 938, 11937, 543, 5431, 519, 2956, 540, 3160, 2924, 543, 3255, 585, 3025, 269, 1635, 1565, 827, 519, 6043, 10268, 676, 3140, 5515, 971, 607, 1346, 3238, 538, 519, 20951, 1014, 7169, 267, 649, 616, 6273, 547, 1796, 909, 585, 5126, 543, 14619, 538, 2221, 781, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24127, 5565, 540, 2048, 14532, 540, 595, 19897, 538, 24053, 3570, 685, 9250, 454, 3528, 589, 1597, 1662, 10548, 345, 534, 454, 288, 853, 889, 9799, 2405, 328, 4531, 640, 568, 519, 11090, 1467, 540, 7905, 7581, 332, 1530, 3663, 15546, 779, 2034, 4320, 540, 7435, 2987, 6953, 663, 779, 3778, 540, 595, 19897, 538, 24053, 3570, 563, 2005, 729, 3833, 17501, 602, 1896, 14222, 14930, 540, 519, 3037, 267, 945, 5280, 8032, 602, 1686, 941, 1459, 593, 11016, 10543, 547, 7198, 519, 10131, 540, 519, 476, 4037, 279, 22240, 1433, 267, 2966, 543, 3812, 676, 17713, 756, 23549, 17290, 540, 519, 5177, 563, 763, 31869, 1326, 1144, 595, 19897, 11833, 533, 822, 559, 542, 729, 14095, 609, 1699, 543, 5449, 3084, 543, 4639, 28851, 524, 4459, 4394, 267, 16984, 267, 2797, 5515, 267, 2818, 540, 519, 20320, 24767, 543, 2027, 16436, 525, 267, 782, 2027, 14538, 540, 7435, 2987, 6953, 663, 23688, 783, 9605, 543, 5020, 15928, 14992, 563, 763, 8313, 267, 799, 19306, 519, 1686, 540, 519, 3014, 689, 476, 6245, 279, 268, 4489, 275, 267, 568, 519, 2034, 538, 513, 3126, 267, 25643, 24053, 3570, 779, 3638, 524, 4459, 7566, 1686, 607, 851, 540, 519, 2754, 779, 476, 5611, 628, 16683, 563, 24127, 2290, 281, 634, 7690, 6054, 519, 1974, 476, 5908, 276, 547, 476, 6245, 278, 563, 8450, 10420, 534, 267, 606, 9622, 7978, 7905, 540, 2876, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 18561, 543, 1473, 550, 3293, 4419, 3363, 257, 607, 851, 540, 834, 19615, 1315, 12144, 1299, 4639, 28851, 1315, 27425, 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, 634, 1686, 540, 15930, 781, 8473, 13882, 2488, 3407, 4030, 883, 519, 10848, 540, 1533, 543, 2199, 10350, 1369, 519, 6626, 2796, 540, 1977, 5313, 1143, 269, 901, 2013, 1353, 12116, 519, 3140, 4282, 267, 3656, 5943, 267, 543, 2797, 6286, 540, 891, 10465, 7526, 267, 3226, 1346, 5473, 922, 15231, 2829, 538, 519, 5664, 9533, 3148, 269, 1635, 3695, 713, 1888, 267, 649, 666, 15052, 938, 1620, 540, 875, 10923, 10665, 3337, 1514, 267, 2804, 267, 543, 2686, 4205, 1851, 2950, 543, 3310, 3609, 3664, 602, 1860, 6634, 540, 1004, 780, 23208, 17461, 1384, 27746, 1633, 729, 3964, 607, 835, 540, 519, 3312, 24369, 10125, 538, 476, 14321, 275, 676, 595, 1815, 559, 2836, 3200, 267, 7083, 22768, 267, 945, 4607, 513, 10424, 22497, 26587, 1864, 5318, 11182, 2059, 519, 8000, 558, 659, 5211, 543, 27991, 1901, 820, 7345, 269, 1717, 267, 1813, 547, 24813, 1893, 538, 519, 22497, 3823, 519, 12733, 781, 7187, 6302, 267, 13882, 4166, 7153, 1063, 15930, 543, 1896, 824, 16899, 267, 1034, 16113, 12425, 543, 9098, 269, 3683, 942, 267, 891, 22195, 15583, 730, 883, 2407, 1532, 31500, 8473, 7526, 267, 1634, 15217, 607, 519, 834, 22025, 558, 659, 2552, 7337, 344, 257, 543, 834, 15031, 5060, 550, 18366, 3010, 299, 20235, 17563, 1384, 763, 3119, 2707, 540, 1543, 542, 538, 1312, 13882, 2847, 9407, 1472, 20849, 12496, 540, 2244, 14828, 543, 7810, 1347, 1562, 9783, 676, 519, 3703, 22477, 1282, 519, 2038, 5933, 540, 3864, 11175, 538, 3345, 3013, 269, 1280, 3236, 267, 519, 25943, 540, 15930, 11292, 595, 1815, 559, 2836, 3200, 9562, 540, 782, 3338, 14084, 5087, 1189, 547, 519, 834, 8218, 940, 540, 519, 4044, 762, 6360, 7297, 540, 519, 5757, 623, 3430, 578, 332, 871, 2437, 1247, 5261, 24282, 781, 25943, 540, 12425, 3989, 1010, 11662, 781, 7013, 10465, 607, 14178, 834, 1729, 519, 2417, 4871, 6587, 519, 4884, 540, 1715, 31069, 1862, 663, 689, 1287, 576, 31023, 2947, 5232, 540, 19976, 4639, 5329, 10605, 972, 5976, 1701, 1452, 22394, 11673, 2451, 15792, 4055, 585, 18312, 8369, 827, 1141, 4010, 519, 1079, 10125, 1058, 2743, 780, 303, 11823, 20480, 1384, 1103, 3210, 547, 20387, 13253, 1063, 15930, 543, 12425, 267, 8176, 4083, 7036, 539, 519, 1230, 2784, 344, 10934, 8189, 538, 476, 12739, 272, 547, 8207, 519, 3390, 2899, 543, 585, 782, 269, 2991, 3275, 540, 18064, 3130, 267, 519, 10243, 619, 3812, 1018, 2968, 1634, 607, 519, 834, 3519, 2784, 344, 10934, 2437, 799, 1305, 519, 10465, 1899, 2059, 1459, 6377, 28224, 5937, 21779, 7412, 269, 6736, 3355, 10343, 540, 519, 1007, 1629, 2117, 566, 267, 5571, 2695, 629, 7632, 4797, 1134, 883, 519, 22733, 2540, 2394, 6368, 1373, 12306, 998, 20320, 9055, 538, 476, 12293, 278, 780, 19602, 267, 15930, 849, 1336, 3294, 2377, 549, 6150, 538, 1776, 8473, 4655, 609, 9098, 7282, 1852, 936, 519, 15417, 3338, 4478, 519, 8000, 558, 659, 5211, 269, 11374, 5756, 540, 1236, 3305, 8460, 543, 3656, 2591, 267, 5518, 7338, 16962, 20827, 519, 8136, 17620, 540, 19296, 896, 11683, 12448, 11875, 545, 2714, 547, 5619, 519, 1858, 543, 3715, 513, 17046, 10465, 1899, 1759, 593, 24666, 7422, 269, 7388, 1540, 538, 476, 9692, 273, 267, 713, 1184, 8507, 538, 519, 5137, 540, 519, 10588, 540, 12052, 1107, 3927, 10678, 519, 32618, 15539, 936, 519, 8000, 558, 659, 8513, 780, 3519, 3825, 547, 7351, 12367, 1384, 9213, 267, 2055, 4478, 8473, 3354, 543, 9194, 4507, 3136, 547, 20441, 24657, 2066, 519, 4182, 269, 1306, 971, 267, 4974, 8978, 2665, 899, 15930, 781, 8473, 13882, 3091, 1271, 4245, 827, 519, 2956, 540, 2312, 30431, 566, 543, 9316, 1063, 22875, 538, 5466, 10296, 2152, 7133, 2789, 8639, 269, 5047, 267, 621, 19156, 519, 2565, 1909, 602, 4977, 7047, 2762, 4249, 538, 20547, 16857, 6811, 543, 5807, 12560, 30398, 1851, 3309, 5095, 780, 18600, 21509, 6201, 1384, 3080, 8037, 1383, 540, 2413, 6377, 8473, 13882, 3322, 7147, 543, 20274, 781, 5571, 21535, 936, 4414, 5211, 1216, 2924, 269, 5381, 547, 15930, 781, 2833, 267, 713, 15784, 11710, 689, 12721, 12496, 540, 3959, 3515, 6580, 1394, 5553, 3516, 950, 5053, 13896, 1101, 10645, 9562, 540, 519, 3148, 269, 4014, 1100, 10795, 804, 10449, 723, 7018, 3976, 2484, 267, 16395, 2611, 13029, 607, 1312, 5011, 3343, 12581, 1569, 547, 17077, 2200, 9624, 3395, 4145, 936, 2916, 1689, 543, 2551, 2208, 780, 13146, 5525, 1384, 288, 476, 1708, 271, 1867, 3370, 676, 519, 2817, 10985, 540, 3557, 22694, 2137, 8711, 519, 2810, 9860, 540, 954, 8063, 13882, 16109, 689, 20718, 9431, 8128, 543, 22522, 11268, 2853, 269, 4340, 547, 519, 1353, 267, 5176, 3368, 540, 782, 772, 2529, 269, 2829, 616, 4867, 7722, 538, 930, 1106, 540, 25036, 609, 741, 12543, 267, 5097, 10704, 593, 2825, 4027, 3800, 267, 3454, 4015, 5773, 267, 543, 3318, 6132, 839, 675, 4170, 269, 6270, 4681, 4196, 607, 513, 22880, 12576, 602, 1256, 538, 2221, 781, 3810, 7471, 2518, 4346, 267, 2055, 4478, 13664, 6302, 543, 11758, 12302, 7182, 6414, 607, 11972, 2591, 6849, 14519, 693, 1169, 1377, 540, 2229, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 297, 984, 1948, 476, 13975, 27843, 1715, 4789, 19639, 618, 19833, 3115, 454, 268, 1772, 513, 3056, 10672, 540, 1164, 2773, 9196, 2079, 3937, 1519, 12514, 267, 21655, 543, 9145, 8554, 454, 268, 1530, 4060, 606, 6293, 11285, 547, 6133, 9196, 12514, 543, 9145, 8554, 454, 268, 9122, 538, 10790, 267, 11632, 267, 19760, 610, 681, 296, 547, 3382, 1715, 4789, 543, 11068, 268, 4263, 23007, 2276, 1519, 11022, 267, 27359, 267, 12924, 267, 13698, 454, 268, 21673, 476, 2412, 260, 16074, 2951, 950, 2951, 4991, 2469, 1586, 543, 2902, 14260, 950, 3617, 454, 268, 12476, 1269, 3199, 330, 268, 9873, 330, 267, 11298, 292, 454, 268, 2155, 3827, 909, 547, 1269, 4792, 330, 287, 17839, 267, 6167, 290, 4338, 303, 3633, 6976, 10116, 569, 454, 268, 2961, 27108, 540, 1269, 14596, 270, 24629, 1341, 332, 850, 720, 540, 1547, 1724, 8276, 850, 10758, 3903, 540, 3274, 13304, 720, 693, 2229, 2557, 30285, 6872, 8276, 850, 994, 268, 2353, 9276, 267, 16314, 266, 6465, 14812, 454, 268, 9509, 2640, 2676, 268, 476, 274, 266, 1296, 6455, 540, 1463, 1995, 630, 341, 338, 269, 3892, 6455, 264, 538, 1272, 2257, 9513, 2930, 3854, 3937, 4502, 1269, 1911, 330, 610, 811, 547, 4081, 610, 1979, 2684, 1301 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1858, 540, 519, 12718, 950, 519, 12718, 4463, 543, 3490, 8006, 568, 538, 513, 5223, 540, 476, 274, 281, 275, 543, 519, 1858, 540, 519, 12718, 29075, 568, 476, 2190, 546, 332, 273, 563, 268, 21408, 9771, 24388, 454, 763, 9076, 9771, 24388, 814, 513, 4320, 476, 277, 4366, 4699, 274, 269, 3004, 19649, 1355, 799, 568, 922, 3490, 814, 519, 7516, 13279, 281, 513, 815, 476, 1015, 4699, 267, 524, 815, 476, 276, 543, 4463, 642, 815, 476, 277, 4699, 269, 1548, 568, 519, 4463, 540, 519, 24388, 888, 268, 12384, 18158, 454, 24280, 519, 4320, 540, 519, 18158, 609, 519, 2427, 476, 276, 9492, 1279, 543, 609, 513, 4009, 3490, 267, 2427, 1532, 848, 814, 5086, 540, 476, 2568, 5232, 269, 0, 306, 3530, 12294, 5810, 616, 519, 12015, 8685, 983, 5810, 540, 519, 1094, 742, 12294, 630, 10111, 628, 600, 639, 17646, 2758, 3780, 1040, 634, 1094, 742, 12294, 5810, 616, 19122, 4628, 2095, 1229, 689, 519, 4098, 547, 519, 1647, 540, 4864, 543, 3141, 12015, 269, 634, 12015, 1094, 742, 12294, 5810, 616, 6740, 538, 12308, 11435, 563, 306, 3530, 12294, 5810, 2270, 1585, 669, 531, 322, 821, 24470, 971, 607, 1094, 742, 12294, 2699, 630, 10111, 628, 3133, 264, 543, 1094, 742, 12294, 5835, 630, 2419, 514, 517, 1916, 306, 3530, 12294, 5810, 616, 1031, 607, 513, 1094, 742, 1258, 12990, 585, 10085, 4370, 17234, 267, 3536, 543, 14453, 2472, 563, 763, 20004, 968, 338, 3530, 12294, 5835, 892, 540, 519, 1094, 742, 12294, 568, 1134, 19729, 538, 4411, 1216, 269, 26741, 543, 20955, 1058, 581, 840, 342, 564, 1540, 609, 620, 636, 547, 10110, 519, 20004, 540, 1094, 742, 12294, 5810, 1134, 269, 634, 2681, 568, 1360, 12667, 609, 10412, 17234, 269, 1280, 10085, 4370, 15144, 267, 476, 274, 269, 276, 9926, 270, 1911, 326, 540, 1094, 742, 12294, 5810, 616, 2877, 829, 476, 274, 269, 276, 9926, 270, 1911, 575, 540, 15144, 269, 634, 5958, 568, 14869, 539, 609, 519, 20004, 585, 835, 5662, 563, 2252, 596, 11547, 856, 1094, 742, 12294, 5810, 609, 4411, 1216, 267, 596, 1205, 519, 18233, 1094, 742, 12294, 5810, 269, 3245, 18233, 1094, 742, 12294, 5810, 666, 581, 12193, 609, 519, 948, 540, 11379, 19941, 3070, 1094, 742, 12294, 2699, 269, 28010, 267, 15144, 543, 5958, 666, 581, 10085, 539, 2699, 609, 519, 1840, 540, 3679, 563, 763, 1094, 742, 12294, 5810, 616, 1863, 689, 5739, 6878, 543, 666, 581, 6740, 585, 693, 2547, 476, 1321, 3275, 563, 15575, 787, 540, 18882, 281, 9459, 0, 295, 528, 714, 7267, 6991, 815, 579, 454, 3891, 697, 540, 519, 1900, 815, 554, 454, 4131, 519, 3440, 5734, 519, 32671, 1900, 563, 11997, 519, 3440, 1098, 951, 525, 513, 8880, 3845, 540, 562, 321, 543, 8813, 19794, 676, 562, 327, 563, 13420, 566, 540, 18330, 540, 8880, 1788, 850, 2676, 27802, 23082, 586, 815, 562, 327, 543, 1535, 815, 562, 321, 267, 649, 1205, 267, 0, 4002, 3047, 2729, 513, 5458, 21318, 540, 2713, 16579, 999, 269, 1280, 519, 13418, 540, 741, 1353, 267, 3173, 19665, 782, 7103, 2687, 547, 1585, 4162, 269, 4340, 547, 519, 1826, 540, 1426, 267, 782, 2713, 1919, 616, 5258, 883, 1079, 1804, 2516, 910, 1313, 582, 5268, 338, 543, 10636, 582, 5268, 338, 269, 769, 1840, 267, 513, 1895, 540, 3575, 582, 5268, 338, 568, 13747, 910, 891, 616, 7103, 9862, 547, 1312, 2010, 540, 6484, 269, 769, 713, 2376, 267, 649, 786, 5659, 519, 4105, 2934, 540, 519, 1079, 1292, 2516, 543, 1265, 856, 875, 1313, 582, 5268, 338, 8428, 689, 10636, 582, 5268, 338, 563, 8505, 582, 5268, 338, 910, 7103, 267, 10446, 1910, 660, 1127, 1944, 5214, 6878, 689, 22803, 269, 769, 713, 1895, 616, 930, 2010, 540, 4551, 543, 3592, 782, 7103, 10362, 547, 519, 10806, 540, 2371, 269, 769, 519, 1576, 540, 741, 1272, 1313, 582, 5268, 338, 8415, 1585, 22803, 6878, 4947, 538, 689, 3544, 630, 21666, 8166, 267, 9436, 267, 7250, 20962, 728, 267, 4401, 267, 3092, 13776, 1210, 873, 538, 519, 6547, 540, 10282, 540, 1950, 5214, 7135, 630, 10852, 569, 11950, 543, 5946, 1916, 295, 2678, 582, 13116, 7103, 3548, 4712, 16955, 6878, 267, 789, 616, 711, 2111, 547, 30075, 873, 10446, 269, 901, 1895, 2882, 17228, 267, 2831, 630, 10175, 3425, 1070, 930, 4551, 543, 1256, 930, 2371, 630, 16341, 26220, 2249, 1916, 2026, 649, 1294, 267, 519, 1292, 3017, 1063, 10636, 582, 5268, 338, 2246, 582, 5268, 338, 6013, 538, 519, 3114, 2470, 540, 519, 5567, 789, 991, 269, 634, 9759, 540, 519, 3157, 540, 741, 6484, 15320, 269, 4201, 582, 13116, 7103, 13358, 1648, 950, 14291, 22803, 6878, 883, 5214, 267, 10636, 582, 5268, 338, 267, 1648, 1281, 711, 13358, 950, 8023, 269, 4201, 582, 5268, 338, 543, 10636, 582, 5268, 338, 616, 5258, 883, 1079, 2516, 267, 4470, 593, 519, 1648, 2707, 1031, 630, 514, 519, 1101, 2013, 264, 543, 593, 519, 1426, 14041, 1031, 676, 519, 2034, 1826, 540, 14471, 563, 16449, 1313, 582, 5268, 338, 267, 8666, 2246, 582, 13116, 543, 17057, 334, 2246, 582, 13116, 7103, 269, 17421, 2246, 582, 5268, 338, 946, 519, 1648, 540, 7943, 547, 1198, 14759, 269, 898, 568, 1271, 547, 4063, 602, 538, 519, 7103, 540, 713, 1895, 972, 568, 513, 1808, 1184, 910, 15591, 630, 528, 513, 1184, 2147, 547, 621, 540, 519, 1826, 1040, 12539, 8166, 568, 10736, 883, 1585, 5214, 7135, 269, 6314, 334, 2246, 582, 5268, 338, 946, 519, 1648, 5833, 607, 513, 1267, 540, 824, 3114, 6547, 269, 1677, 713, 1895, 4866, 1114, 4551, 563, 295, 2678, 582, 13116, 14471, 616, 5258, 883, 1558, 520, 5268, 338, 543, 1612, 520, 549, 12028, 269, 5450, 520, 5268, 338, 607, 519, 14041, 540, 5214, 7135, 946, 4666, 7103, 267, 1612, 520, 19745, 344, 910, 2661, 563, 8505, 582, 5268, 338, 543, 10636, 582, 5268, 338, 19582, 1978, 6570, 538, 519, 1426, 5832, 269, 4201, 582, 5268, 338, 616, 2141, 12696, 910, 789, 1711, 5214, 6878, 602, 2663, 1780, 998, 519, 3003, 5832, 269, 670, 2678, 582, 5268, 338, 1831, 6800, 540, 1585, 9753, 630, 553, 513, 4341, 267, 538, 713, 7121, 616, 2831, 264, 543, 10920, 1842, 619, 630, 325, 2426, 328, 267, 14471, 1040, 769, 824, 1913, 267, 1313, 582, 5268, 338, 543, 10636, 582, 5268, 338, 1106, 512, 13116, 4296, 1851, 2933, 269, 901, 568, 540, 14063, 2956, 585, 519, 8733, 3510, 538, 519, 1158, 267, 1317, 621, 568, 1813, 547, 512, 13116, 4296, 602, 519, 10009, 540, 1585, 6878, 538, 2470, 3217, 1747, 269, 0, 3528, 9400, 654, 269, 918, 549, 517, 454, 10303, 519, 8798, 540, 519, 8305, 24005, 538, 476, 8146, 271, 267, 8305, 25646, 476, 274, 291, 814, 7283, 693, 519, 5499, 540, 519, 2923, 543, 16837, 3768, 18249, 269, 1142, 476, 736, 547, 476, 1789, 1296, 267, 513, 6216, 1007, 21767, 2699, 8646, 951, 8305, 334, 4670, 14708, 267, 30740, 922, 32134, 609, 3063, 23538, 4547, 676, 1259, 540, 519, 6639, 7835, 540, 519, 18060, 532, 1296, 269, 901, 679, 9871, 14037, 8675, 9388, 513, 17046, 28094, 540, 1239, 693, 519, 11247, 543, 2029, 540, 8305, 25646, 476, 274, 291, 267, 1927, 609, 20866, 543, 882, 20814, 6337, 282, 7260, 543, 5907, 25135, 14653, 11601, 282, 4070, 267, 2022, 1790, 3174, 267, 3892, 267, 543, 14266, 282, 543, 1480, 7298, 10206, 269, 607, 1134, 607, 8912, 8675, 8847, 267, 621, 13408, 1082, 12675, 679, 9871, 14037, 13366, 543, 5111, 1614, 4627, 3109, 7146, 22554, 543, 7990, 12383, 269, 14171, 519, 5728, 856, 540, 476, 274, 291, 781, 10058, 1893, 267, 519, 10367, 3091, 513, 5748, 585, 12001, 1209, 1664, 1063, 5294, 543, 3504, 2796, 585, 891, 1007, 547, 519, 1582, 16162, 23002, 563, 5649, 6732, 610, 8281, 476, 274, 291, 589, 3562, 19053, 269, 1323, 2037, 9871, 14037, 9218, 7300, 454, 13436, 679, 9871, 2664, 553, 2835, 454, 21893, 10367, 267, 602, 2882, 513, 4974, 1448, 11807, 585, 1283, 9872, 9458, 543, 1657, 267, 568, 2356, 5227, 585, 3872, 543, 1857, 8021, 269, 29038, 299, 3869, 4750, 763, 15610, 540, 2597, 2042, 568, 607, 513, 2603, 540, 513, 4704, 2707, 1317, 621, 568, 513, 3926, 547, 21592, 7326, 1369, 519, 4791, 543, 1857, 1134, 5630, 2516, 269, 2060, 12303, 476, 4335, 13366, 267, 1346, 7274, 17412, 22317, 2152, 538, 2597, 2042, 543, 2147, 2564, 2175, 267, 1927, 609, 7636, 7350, 267, 6530, 267, 6646, 267, 1857, 8171, 543, 8516, 543, 3795, 267, 6484, 2029, 267, 2825, 1134, 5630, 267, 543, 11311, 5061, 563, 763, 835, 12913, 4276, 609, 519, 6454, 543, 1699, 2197, 540, 586, 534, 27365, 18375, 267, 834, 5319, 11602, 540, 586, 1678, 18375, 267, 476, 274, 6113, 8390, 257, 3568, 3152, 982, 476, 273, 267, 1822, 13366, 17364, 519, 7810, 8884, 547, 519, 1699, 269, 901, 22265, 1614, 31891, 4704, 6799, 513, 5763, 540, 1239, 593, 3592, 1142, 3693, 540, 18375, 267, 689, 519, 4720, 540, 2852, 6437, 267, 18375, 5092, 267, 543, 5939, 15581, 27900, 547, 519, 1034, 2487, 9840, 593, 18371, 1143, 267, 11755, 538, 1362, 267, 543, 26697, 18375, 563, 1607, 22605, 3091, 606, 7291, 540, 519, 4720, 540, 6980, 543, 5986, 2010, 267, 1426, 560, 4428, 25880, 267, 27022, 267, 543, 10591, 689, 840, 3620, 626, 800, 547, 519, 1699, 1554, 269, 634, 15610, 540, 28881, 4282, 3091, 606, 589, 3562, 19053, 4879, 540, 513, 1906, 2185, 4627, 2152, 4358, 689, 31132, 899, 21238, 9509, 518, 543, 715, 2812, 18243, 523, 543, 971, 4589, 607, 1772, 629, 7578, 2142, 17662, 543, 8176, 4432, 1889, 8071, 520, 22088, 267, 547, 11256, 267, 4313, 6980, 267, 2357, 2381, 267, 4936, 3434, 2044, 267, 25234, 601, 924, 267, 15155, 27885, 267, 546, 30864, 267, 543, 4719, 17203, 540, 5567, 563, 10303, 519, 476, 274, 6113, 4528, 540, 713, 4704, 1031, 547, 581, 12913, 267, 972, 941, 1713, 11941, 1369, 519, 3486, 3114, 3768, 18249, 269, 2060, 1454, 1447, 8561, 593, 1007, 4485, 585, 1818, 2653, 3114, 7135, 543, 3063, 8561, 593, 13802, 6604, 543, 3653, 12871, 267, 4620, 10635, 8707, 12485, 616, 4758, 3070, 547, 23020, 4485, 563, 21206, 2200, 585, 476, 274, 291, 589, 3562, 19053, 269, 1323, 2037, 9871, 14037, 9218, 454, 21760, 30366, 589, 3059, 13496, 31074, 7133, 519, 8728, 1063, 2127, 540, 17804, 2681, 267, 4929, 513, 2530, 540, 2681, 19509, 23437, 640, 2059, 519, 10665, 269, 14424, 3178, 30366, 282, 18582, 2125, 7613, 269, 2681, 31195, 282, 2681, 25314, 2255, 1879, 519, 4778, 540, 31669, 2798, 538, 513, 8305, 6945, 616, 14669, 547, 1018, 519, 2634, 26770, 2016, 741, 1612, 718, 1314, 3017, 610, 824, 2139, 3178, 10291, 267, 3056, 547, 30137, 3178, 1344, 538, 519, 535, 4310, 3239, 269, 7822, 568, 1419, 4330, 607, 1373, 1500, 909, 540, 27280, 630, 1492, 2681, 779, 12094, 1070, 25294, 630, 1492, 19454, 540, 519, 27280, 1070, 543, 1871, 630, 1080, 3448, 21386, 1916, 288, 22131, 20470, 3009, 322, 281, 570, 1389, 3476, 593, 519, 13496, 1439, 267, 855, 568, 5488, 1282, 10920, 16054, 269, 4595, 513, 2707, 19509, 548, 568, 3622, 19316, 2899, 855, 10920, 335, 5962, 543, 9763, 1082, 2053, 267, 713, 568, 606, 11807, 4123, 4752, 269, 11473, 13496, 666, 581, 5340, 2901, 1369, 513, 2582, 7406, 693, 513, 942, 630, 842, 571, 1922, 9347, 264, 610, 2066, 2789, 14604, 936, 942, 630, 5793, 1922, 9347, 1040, 4595, 6151, 3381, 3568, 513, 1390, 4308, 540, 1239, 602, 1590, 581, 9268, 267, 1034, 540, 799, 616, 711, 2556, 585, 519, 12093, 540, 606, 11807, 3239, 267, 1034, 3381, 13496, 6620, 616, 2530, 344, 543, 267, 609, 519, 9868, 540, 1346, 1031, 585, 2661, 18993, 3827, 267, 12623, 20470, 563, 2691, 891, 1544, 541, 6329, 9192, 267, 789, 1711, 513, 476, 274, 291, 5951, 602, 5205, 513, 927, 1460, 267, 610, 1351, 802, 920, 342, 267, 2619, 998, 2230, 936, 942, 269, 1879, 6027, 538, 513, 884, 857, 16667, 322, 7077, 26667, 630, 520, 513, 1318, 5086, 264, 547, 519, 1769, 18422, 267, 519, 9133, 540, 519, 5951, 779, 3167, 19509, 15505, 6152, 12599, 538, 513, 29628, 610, 4831, 22018, 3772, 5858, 267, 4470, 593, 519, 19942, 1145, 540, 519, 8713, 5951, 269, 10691, 292, 281, 769, 25852, 630, 663, 4061, 1034, 8305, 25646, 3156, 1070, 519, 4287, 540, 8713, 8095, 568, 6027, 689, 519, 5133, 540, 519, 21951, 630, 2431, 26370, 585, 29628, 267, 2451, 26370, 585, 4831, 22018, 3772, 1070, 1247, 538, 5122, 4702, 267, 621, 568, 6027, 689, 519, 5133, 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 ]
[ 281, 519, 7516, 540, 519, 3239, 630, 319, 263, 3607, 267, 476, 5325, 23375, 264, 543, 519, 18920, 4336, 630, 319, 272, 324, 268, 276, 319, 1040, 634, 18920, 4336, 568, 513, 2268, 540, 875, 1082, 9095, 572, 6948, 5330, 547, 835, 18920, 538, 519, 3239, 269, 769, 713, 2013, 267, 835, 18920, 14687, 547, 3230, 1015, 13064, 276, 6525, 9095, 572, 6948, 780, 763, 2387, 24708, 8548, 1442, 19553, 342, 560, 16062, 14369, 319, 1599, 3217, 1896, 7440, 602, 4766, 519, 3601, 540, 519, 20533, 3239, 269, 634, 2387, 341, 273, 10915, 319, 543, 2387, 341, 274, 10915, 319, 7440, 616, 519, 4704, 18920, 10974, 538, 519, 2034, 543, 3791, 7516, 267, 6606, 269, 634, 2387, 2651, 319, 4661, 568, 519, 10066, 540, 519, 3239, 538, 5232, 269, 634, 2387, 13062, 335, 1460, 319, 4661, 568, 513, 1592, 540, 519, 4704, 18920, 10974, 538, 519, 1101, 543, 2034, 7516, 267, 6606, 269, 634, 2387, 7251, 319, 4661, 568, 519, 18920, 4336, 5119, 267, 799, 6257, 875, 519, 18920, 10974, 4786, 547, 519, 6607, 10974, 269, 634, 2387, 13062, 1998, 319, 4661, 568, 513, 1592, 540, 519, 4704, 6607, 10974, 538, 519, 1101, 543, 2034, 7516, 267, 6606, 780, 3086, 602, 649, 723, 938, 23769, 654, 5425, 1843, 267, 1577, 781, 1711, 513, 28218, 306, 3758, 609, 519, 1482, 3601, 269, 1284, 3513, 946, 519, 2387, 22327, 319, 5399, 547, 798, 713, 563, 8199, 287, 6853, 11687, 8807, 4869, 675, 263, 2675, 2100, 8782, 10818, 5073, 3698, 23769, 6958, 1080, 16062, 14369, 10031, 825, 524, 323, 815, 1628, 6958, 527, 24624, 9230, 3607, 267, 476, 5325, 1070, 476, 272, 324, 268, 276, 994, 825, 530, 815, 13352, 342, 14369, 15030, 5425, 3799, 9471, 284, 273, 994, 825, 530, 9884, 14369, 6983, 323, 815, 524, 323, 454, 825, 530, 9884, 14369, 6983, 337, 1998, 815, 1496, 11025, 269, 271, 267, 476, 1321, 269, 271, 2639, 825, 530, 9884, 14369, 6983, 337, 335, 1460, 815, 1496, 24423, 269, 271, 267, 476, 24423, 269, 271, 2639, 825, 530, 9884, 14369, 269, 551, 4286, 815, 18358, 6938, 19203, 307, 3198, 3299, 1412, 291, 4488, 734, 307, 3198, 23300, 825, 530, 4877, 31242, 318, 27729, 815, 1496, 9083, 275, 267, 476, 14225, 279, 2639, 825, 530, 4877, 31242, 10734, 2432, 815, 630, 8987, 271, 269, 276, 267, 476, 9083, 275, 910, 476, 271, 269, 276, 1070, 11196, 271, 269, 276, 267, 476, 14225, 279, 910, 476, 271, 269, 276, 4917, 825, 530, 9884, 14369, 15630, 4590, 825, 2132, 530, 454, 8199, 763, 2387, 287, 6853, 11687, 8807, 4869, 675, 319, 7718, 1807, 6645, 2387, 6853, 11687, 319, 602, 713, 1599, 568, 513, 20856, 675, 267, 799, 568, 513, 1599, 602, 7024, 513, 840, 18101, 2682, 323, 1843, 602, 666, 581, 1031, 538, 938, 4255, 269, 634, 2387, 2675, 2100, 8782, 10818, 262, 319, 4661, 6645, 2387, 6853, 11687, 319, 602, 713, 20856, 675, 1058, 581, 2813, 2899, 829, 1449, 1599, 267, 2864, 982, 2899, 829, 1449, 9074, 780, 763, 2387, 22327, 342, 14369, 15030, 5425, 319, 1362, 568, 1031, 585, 10747, 519, 654, 5425, 585, 513, 28218, 306, 3758, 269, 634, 2387, 333, 9471, 319, 4661, 568, 519, 1297, 540, 7516, 538, 519, 3239, 269, 769, 713, 2013, 267, 649, 723, 513, 1079, 8820, 3239, 267, 865, 649, 1305, 2387, 333, 9471, 284, 273, 27471, 763, 2387, 342, 9884, 14369, 6983, 323, 319, 14487, 568, 519, 18920, 4336, 5119, 267, 799, 649, 1305, 547, 519, 1871, 8120, 676, 519, 2387, 28265, 6958, 527, 24624, 319, 1599, 269, 634, 2387, 342, 9884, 14369, 6983, 337, 1998, 319, 14487, 568, 519, 4704, 6607, 10974, 267, 799, 649, 1305, 547, 519, 1482, 2418, 607, 538, 519, 2387, 24708, 8548, 1442, 19553, 342, 560, 16062, 14369, 319, 1599, 269, 634, 2387, 342, 9884, 14369, 6983, 337, 335, 1460, 319, 14487, 568, 519, 4704, 18920, 10974, 267, 799, 649, 849, 1305, 547, 519, 1482, 2418, 607, 538, 519, 2387, 24708, 8548, 1442, 19553, 342, 560, 16062, 14369, 319, 1599, 269, 634, 2387, 342, 9884, 14369, 269, 551, 4286, 319, 14487, 568, 519, 11282, 1062, 1031, 538, 519, 3239, 267, 799, 649, 1305, 547, 519, 570, 3198, 630, 307, 836, 1113, 264, 16879, 780, 763, 2387, 342, 4877, 31242, 318, 27729, 319, 14487, 568, 513, 24042, 602, 6257, 519, 7516, 540, 519, 3239, 538, 19641, 269, 769, 713, 2013, 267, 649, 723, 606, 3239, 602, 568, 476, 9083, 275, 19641, 2647, 543, 476, 14225, 279, 19641, 1164, 269, 634, 2387, 342, 4877, 31242, 10734, 2432, 319, 14487, 568, 513, 24042, 540, 8913, 1255, 602, 6257, 519, 23451, 540, 519, 3239, 538, 19641, 269, 769, 713, 2013, 267, 649, 723, 606, 3239, 602, 6238, 693, 18920, 11196, 271, 269, 276, 267, 910, 271, 269, 276, 264, 543, 7475, 693, 18920, 630, 9083, 275, 910, 476, 271, 269, 276, 267, 476, 14225, 279, 910, 476, 271, 269, 276, 6393, 763, 2387, 342, 9884, 14369, 15630, 13237, 1505, 568, 1031, 547, 4019, 519, 654, 5425, 547, 519, 28218, 306, 3758, 780, 3086, 602, 649, 723, 938, 28218, 306, 3758, 609, 519, 1482, 3601, 607, 938, 23769, 654, 5425, 1843, 267, 1577, 781, 1711, 930, 23769, 22331, 9233, 540, 6801, 543, 15270, 269, 1284, 3513, 946, 519, 2387, 8368, 319, 1362, 689, 519, 2387, 770, 16552, 6745, 762, 319, 5399, 547, 798, 713, 563, 8199, 287, 6853, 11687, 8807, 4869, 675, 263, 2675, 2100, 8782, 10818, 5073, 3698, 8900, 318, 574, 13906, 10031, 825, 708, 13906, 815, 7305, 31912, 3910, 32582, 3910, 4408, 284, 9131, 343, 3299, 1412, 344, 262, 7481, 825, 2132, 708, 13906, 692, 287, 6853, 11687, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 13352, 342, 14369, 454, 5228, 4230, 16552, 6745, 762, 1104, 7305, 692, 5228, 17408, 752, 342, 14369, 269, 15035, 7257, 1104, 1628, 6958, 527, 24624, 454, 5228, 1547, 25961, 4671, 335, 342, 14369, 1104, 1118, 8548, 1442, 19553, 342, 560, 16062, 14369, 7531, 287, 6853, 11687, 8807, 4869, 675, 263, 2675, 2100, 8782, 7116, 2544, 5073, 3698, 23769, 19553, 342, 560, 16062, 14369, 10031, 825, 524, 323, 815, 1628, 6958, 527, 24624, 9230, 3607, 267, 476, 5325, 1070, 476, 272, 324, 268, 276, 994, 825, 530, 815, 1118, 8548, 1442, 19553, 342, 560, 16062, 14369, 18692, 1038, 642, 273, 10915, 284, 11277, 269, 271, 267, 642, 274, 10915, 284, 4335, 269, 271, 267, 5066, 284, 12893, 269, 271, 267, 1835, 335, 1460, 17342, 24423, 269, 271, 267, 476, 24423, 269, 271, 16689, 1038, 524, 323, 284, 7251, 267, 1835, 1998, 17342, 11025, 269, 271, 267, 476, 1321, 269, 271, 2639, 825, 12467, 825, 2132, 530, 7531, 287, 6853, 11687, 8807, 4869, 675, 263, 2675, 2100, 8782, 10818, 5073, 3698, 23769, 6958, 1080, 16062, 14369, 10031, 825, 524, 323, 815, 1628, 6958, 527, 24624, 9230, 3607, 267, 476, 5325, 1070, 476, 272, 324, 268, 276, 994, 825, 530, 815, 13352, 342, 14369, 15030, 5425, 3799, 9471, 284, 273, 994, 825, 530, 9884, 14369, 6983, 323, 815, 524, 323, 454, 825, 530, 9884, 14369, 6983, 337, 1998, 815, 1496, 11025, 269, 271, 267, 476, 1321, 269, 271, 2639, 825, 530, 9884, 14369, 6983, 337, 335, 1460, 815, 1496, 24423, 269, 271, 267, 476, 24423, 269, 271, 2639, 825, 530, 9884, 14369, 269, 551, 4286, 815, 18358, 6938, 19203, 307, 3198, 3299, 1412, 291, 4488, 734, 307, 3198, 23300, 825, 530, 4877, 31242, 318, 27729, 815, 1496, 9083, 275, 267, 476, 14225, 279, 2639, 825, 530, 4877, 31242, 10734, 2432, 815, 630, 8987, 271, 269, 276, 267, 476, 9083, 275, 910, 476, 271, 269, 276, 1070, 11196, 271, 269, 276, 267, 476, 14225, 279, 910, 476, 271, 269, 276, 4917, 825, 530, 9884, 14369, 15630, 4590, 825, 2132, 530, 7531, 287, 6853, 11687, 8807, 4869, 675, 263, 2675, 2100, 8782, 10818, 5073, 3698, 8900, 318, 574, 13906, 10031, 825, 708, 13906, 815, 7305, 31912, 3910, 32582, 3910, 4408, 284, 9131, 343, 3299, 1412, 344, 262, 7481, 825, 2132, 708, 13906, 7531, 287, 6853, 11687, 8807, 4869, 675, 263, 2675, 2100, 8782, 10818, 5073, 3698, 8900, 318, 10915, 13906, 10031, 825, 1201, 13906, 815, 7305, 31912, 3910, 32582, 3910, 4408, 284, 9131, 6938, 3299, 1412, 291, 4488, 262, 7481, 825, 2132, 1201, 13906, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 834, 18698, 674, 8543, 24079, 543, 1323, 11582, 281, 634, 9741, 631, 1069, 4660, 5016, 8702, 267, 2104, 1918, 2209, 543, 1650, 339, 25527, 256, 4653, 267, 649, 2811, 2469, 547, 4685, 883, 519, 22539, 1158, 540, 18912, 8941, 543, 14318, 609, 513, 1445, 593, 835, 540, 707, 5172, 2984, 1107, 634, 9741, 631, 1069, 4660, 256, 901, 9589, 3460, 786, 1491, 596, 998, 1686, 267, 3332, 267, 1148, 267, 543, 2413, 21576, 269, 16258, 523, 707, 10160, 10964, 1206, 630, 528, 1272, 642, 3949, 14386, 607, 649, 7832, 593, 713, 14015, 7045, 1927, 2439, 5575, 267, 1577, 781, 979, 1394, 538, 942, 547, 2743, 513, 7415, 812, 3957, 17713, 4168, 1656, 619, 523, 269, 1261, 5030, 1279, 3516, 1282, 519, 476, 5197, 271, 338, 538, 16862, 267, 799, 568, 513, 2197, 4092, 538, 8832, 2342, 269, 1411, 1522, 4898, 875, 646, 2968, 865, 4583, 286, 4270, 267, 17713, 4168, 1656, 619, 523, 5206, 1082, 4190, 543, 19511, 2984, 1572, 14174, 7644, 312, 570, 3201, 2464, 256, 1452, 616, 2110, 6386, 10023, 28531, 7068, 971, 607, 544, 1069, 320, 1749, 267, 6158, 2831, 267, 26734, 267, 2379, 806, 267, 27959, 525, 267, 543, 811, 269, 1358, 1419, 4001, 3407, 4245, 827, 11587, 267, 22838, 267, 2648, 267, 543, 4539, 269, 5620, 1022, 540, 596, 4862, 540, 824, 2442, 18912, 8941, 899, 1412, 1320, 3518, 601, 2088, 10086, 1412, 763, 772, 16744, 667, 3089, 1782, 10086, 610, 1412, 763, 14890, 781, 1715, 1849, 582, 1127, 286, 262, 8409, 941, 849, 2854, 676, 938, 3659, 17713, 4168, 1656, 619, 523, 2439, 3086, 267, 4481, 585, 634, 9741, 631, 1069, 4660, 267, 4952, 513, 9159, 1650, 1305, 2620, 1369, 519, 5836, 1141, 695, 20810, 532, 14147, 18625, 1683, 5321, 585, 1585, 4241, 4262, 7068, 269, 3776, 1292, 1915, 1934, 3884, 1405, 1175, 1022, 8723, 544, 1069, 4660, 282, 1352, 781, 513, 11553, 2562, 290, 8577, 945, 1032, 985, 547, 2263, 519, 1480, 1158, 1310, 9991, 538, 2648, 609, 513, 3946, 727, 19036, 269, 1809, 3314, 267, 1919, 5749, 1405, 2141, 5347, 22892, 950, 7231, 609, 1225, 4513, 267, 9409, 4262, 26734, 267, 543, 27531, 835, 781, 5639, 585, 3020, 2648, 269, 2334, 781, 1018, 2306, 891, 2984, 1187, 543, 2502, 2439, 24137, 4464, 547, 519, 3735, 476, 5002, 271, 338, 950, 1945, 9058, 5949, 538, 7537, 2207, 2975, 3198, 595, 17109, 13543, 910, 519, 20591, 20911, 312, 4888, 296, 7246, 3582, 11555, 2793, 3041, 306, 23814, 269, 6056, 540, 621, 607, 513, 25954, 610, 32193, 540, 9735, 27977, 4547, 1394, 547, 1272, 998, 1732, 2029, 543, 3860, 9423, 269, 4438, 713, 11344, 2085, 540, 14318, 267, 1896, 5929, 9413, 3357, 856, 267, 1519, 1325, 5417, 514, 267, 25925, 543, 519, 2142, 770, 267, 543, 9811, 267, 5990, 700, 3951, 307, 4041, 631, 2207, 7246, 2839, 256, 1234, 548, 1078, 538, 476, 2735, 280, 267, 713, 1880, 7260, 13264, 5638, 543, 9676, 6634, 540, 12271, 5001, 780, 3383, 1946, 1705, 1004, 740, 648, 18557, 781, 4528, 540, 634, 9741, 631, 1069, 4660, 865, 1454, 286, 1280, 26784, 267, 519, 4888, 296, 7246, 3582, 654, 3008, 19419, 12195, 21715, 7728, 256, 5994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1717, 267, 538, 519, 7061, 6389, 267, 9211, 8858, 5951, 6438, 3601, 6353, 676, 5506, 14778, 2864, 982, 6378, 6753, 269, 634, 6310, 6609, 540, 971, 513, 1062, 12346, 593, 513, 5951, 1599, 630, 395, 486, 1070, 17683, 782, 4143, 1344, 827, 922, 1533, 269, 14265, 1017, 569, 267, 2394, 6027, 267, 513, 7061, 9325, 6818, 538, 2789, 2829, 8195, 1813, 547, 2706, 6570, 267, 3850, 621, 547, 2291, 607, 1312, 1923, 271, 414, 509, 358, 543, 1923, 272, 414, 509, 358, 21276, 569, 269, 901, 3959, 24598, 1231, 1082, 5383, 6035, 676, 7061, 5904, 267, 1519, 8476, 6252, 1143, 543, 4389, 1648, 4616, 3379, 547, 8106, 8925, 780, 2971, 9980, 836, 2211, 543, 20970, 692, 5194, 10578, 25246, 540, 7061, 11707, 3322, 1303, 22931, 8424, 540, 5536, 269, 4495, 5423, 538, 606, 1303, 22931, 1533, 267, 7893, 835, 8216, 24345, 5540, 519, 824, 7488, 540, 3845, 19459, 873, 269, 18160, 28020, 5219, 547, 713, 7613, 607, 834, 4944, 809, 344, 2962, 693, 513, 3845, 2437, 10223, 922, 9583, 1875, 29985, 2470, 269, 1280, 844, 23605, 267, 1303, 836, 2211, 6087, 3810, 3608, 6388, 540, 1978, 4238, 267, 4227, 2949, 4199, 4170, 543, 14123, 3209, 4485, 585, 6061, 6382, 703, 847, 762, 2042, 269, 16270, 6482, 267, 2705, 267, 513, 844, 4226, 2458, 22663, 689, 922, 2706, 6570, 539, 1533, 883, 513, 17386, 1871, 267, 10962, 7915, 10462, 883, 519, 1184, 269, 9182, 267, 3384, 7347, 5470, 15494, 2553, 3587, 14063, 538, 16734, 6325, 7061, 7384, 5867, 780, 2162, 17747, 27176, 267, 27989, 267, 543, 27122, 692, 2304, 11530, 748, 547, 8106, 7954, 19235, 7900, 10026, 29491, 3252, 899, 6730, 267, 10758, 267, 543, 10691, 267, 7061, 19235, 13861, 844, 4226, 2829, 3842, 5402, 6417, 4205, 1063, 1367, 3067, 320, 269, 6201, 540, 1455, 2582, 6709, 4226, 19235, 1331, 6754, 328, 2473, 267, 962, 267, 2098, 32186, 543, 16874, 600, 731, 19235, 267, 1247, 595, 27237, 267, 17335, 4338, 267, 543, 1677, 742, 10008, 19235, 4196, 607, 1486, 12111, 673, 3818, 6709, 4226, 30582, 269, 1635, 4140, 5534, 569, 9256, 891, 3334, 267, 3173, 1374, 10427, 7061, 11387, 5827, 540, 22589, 1808, 4247, 3358, 2509, 1585, 3498, 11890, 780, 288, 8037, 1383, 15386, 519, 23258, 540, 7061, 6620, 11710, 689, 1744, 528, 781, 28809, 5690, 267, 11744, 12825, 3432, 1575, 3448, 547, 1655, 8153, 8106, 2409, 585, 8870, 26458, 269, 30855, 7061, 13779, 2360, 16109, 998, 22606, 20800, 2747, 4238, 8045, 1210, 22263, 21810, 267, 1744, 528, 781, 5690, 3091, 1713, 6286, 585, 25563, 543, 3354, 10873, 5001, 269, 6271, 7986, 946, 2013, 19674, 538, 519, 2796, 540, 11938, 2042, 17929, 740, 328, 629, 1738, 7061, 7384, 2488, 646, 22618, 3435, 16107, 16795, 13289, 1063, 3355, 543, 3803, 16803, 1014, 19383, 269, 1452, 3879, 13577, 8320, 20838, 519, 2189, 7207, 6488, 539, 676, 7061, 3457, 267, 4259, 519, 3942, 585, 2417, 7835, 6322, 693, 19713, 741, 2407, 1761, 780, 2162, 12694, 543, 19662, 538, 8490, 17747, 7010, 692, 8601, 4028, 3356, 1500, 3976, 2484, 267, 14335, 513, 1804, 8397, 13337, 2389, 26985, 7061, 2780, 3788, 606, 1930, 4161, 9808, 9853, 609, 3875, 9465, 269, 12751, 1851, 891, 4145, 9305, 547, 1232, 334, 11447, 3157, 4611, 689, 13311, 4205, 1063, 844, 23605, 543, 2825, 6846, 2959, 269, 28304, 971, 17672, 9259, 19329, 6297, 10072, 2994, 13745, 609, 3742, 5470, 17846, 14565, 2966, 547, 8190, 10347, 7061, 2829, 2429, 19106, 269, 3958, 267, 7687, 13684, 676, 21753, 4066, 543, 2326, 2257, 1526, 1778, 24276, 10766, 535, 23474, 2157, 543, 5021, 1450, 762, 14479, 3270, 2066, 844, 4226, 14249, 269, 18601, 891, 28919, 7569, 4797, 5092, 538, 13654, 1382, 543, 3444, 16162, 9918, 5698, 17364, 4610, 8151, 689, 27772, 2339, 6323, 547, 4294, 6128, 780, 2162, 17747, 4211, 20199, 673, 3955, 6016, 1464, 692, 11693, 519, 23773, 23665, 2404, 609, 2679, 1796, 29671, 7061, 6191, 267, 10316, 7061, 11665, 673, 3631, 10836, 607, 14323, 8925, 3854, 1944, 593, 5348, 25489, 1063, 14911, 9342, 17820, 676, 1312, 26336, 269, 13018, 267, 8106, 5904, 14133, 693, 4393, 5318, 9424, 540, 11295, 1239, 6385, 267, 3246, 4998, 1852, 11418, 3743, 585, 6117, 7061, 8800, 2609, 971, 607, 17196, 20512, 6964, 1282, 844, 4226, 3355, 1436, 267, 1224, 719, 267, 543, 575, 908, 9696, 269, 5015, 267, 4359, 11191, 2645, 5512, 4977, 12605, 540, 4397, 4093, 1759, 2390, 26776, 13591, 8397, 7061, 630, 301, 3041, 304, 264, 6901, 267, 22338, 519, 1259, 2509, 4824, 18572, 267, 23363, 267, 543, 15418, 5773, 780, 25748, 267, 7415, 26058, 723, 1044, 4080, 538, 2584, 4577, 2861, 7061, 5904, 30833, 676, 519, 4457, 2475, 12839, 2319, 781, 23318, 7282, 741, 834, 297, 328, 15120, 28702, 257, 3760, 8236, 7061, 29686, 538, 5239, 476, 1001, 280, 269, 22034, 21714, 536, 657, 517, 10386, 2553, 267, 3173, 7152, 606, 4230, 15929, 476, 7785, 2929, 4458, 5413, 936, 6671, 2706, 28669, 532, 5989, 950, 5466, 1164, 8820, 5276, 15821, 2042, 5473, 4351, 14290, 269, 2755, 1869, 16861, 267, 891, 2164, 5365, 513, 24659, 4090, 1200, 531, 3429, 1007, 7399, 585, 7061, 10276, 327, 2331, 6620, 13389, 3113, 3069, 267, 2036, 13541, 658, 11938, 267, 543, 3684, 1565, 24913, 338, 8506, 10373, 12985, 4674, 3564, 519, 9165, 540, 4540, 3059, 25121, 780, 2026, 8441, 3136, 3284, 864, 538, 1312, 7811, 23484, 543, 8097, 10781, 267, 2503, 6251, 5610, 1063, 7061, 543, 8106, 1949, 4742, 5051, 24245, 2066, 3309, 9922, 13461, 8185, 593, 1164, 26024, 7384, 2200, 269, 3245, 1570, 6602, 543, 3075, 1646, 547, 8804, 543, 17825, 4058, 267, 5499, 12352, 28043, 19635, 10600, 9153, 12316, 7760, 26405, 547, 18534, 1901, 2486, 25340, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 808, 328, 15120, 28702, 2443, 7353, 517, 2861, 17747, 8950, 454, 12867, 689, 519, 2160, 540, 3163, 543, 5303, 540, 3624, 630, 19851, 290, 264, 6045, 538, 519, 4760, 3163, 602, 513, 8752, 2861, 7061, 2780, 3957, 519, 808, 328, 15120, 28702, 630, 18263, 507, 419, 360, 510, 264, 15824, 513, 9819, 538, 3764, 269, 30027, 3585, 267, 513, 2757, 2706, 26367, 1131, 1491, 519, 1158, 779, 16595, 2706, 26367, 267, 674, 1872, 27495, 267, 476, 7785, 2929, 1296, 547, 2347, 563, 1432, 568, 17747, 29686, 888, 23797, 636, 29686, 568, 6913, 950, 513, 7061, 3926, 568, 8810, 547, 4163, 856, 513, 4305, 602, 513, 8106, 2780, 1131, 1265, 7543, 610, 1491, 1932, 1279, 547, 2347, 269, 808, 328, 15120, 28702, 5340, 513, 7061, 19106, 1572, 968, 294, 320, 11701, 536, 657, 517, 10386, 2223, 799, 568, 20437, 3340, 7829, 513, 5318, 4320, 540, 1239, 8195, 563, 19770, 1287, 26082, 5616, 267, 799, 10645, 621, 6603, 7061, 29686, 538, 4239, 269, 476, 1001, 280, 267, 543, 22126, 267, 799, 814, 849, 9411, 519, 7061, 7384, 4339, 269, 1403, 519, 6811, 827, 808, 328, 15120, 28702, 616, 3020, 267, 621, 1131, 581, 519, 16595, 7061, 2780, 538, 519, 1158, 1631, 563, 17843, 689, 5616, 779, 7061, 3684, 267, 808, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 17747, 17270, 1315, 17747, 4211, 20199, 673, 3955, 6016, 1464, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 4197, 5403, 19640, 15339, 692, 5970, 596, 2479, 6743, 693, 513, 2679, 543, 2219, 621, 8604, 899, 621, 20705, 538, 513, 18912, 9661, 286, 2107, 723, 596, 2938, 513, 2413, 1236, 903, 28755, 704, 609, 6505, 4778, 543, 9490, 5546, 602, 1500, 596, 4898, 1018, 519, 4056, 729, 3206, 286, 1403, 865, 267, 596, 1522, 723, 1044, 26164, 2022, 19640, 6189, 256, 901, 2511, 540, 1374, 7153, 538, 519, 4571, 268, 736, 628, 2540, 543, 5170, 547, 3337, 938, 4872, 2221, 269, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 780, 5331, 6972, 1524, 513, 8265, 20898, 609, 5656, 602, 782, 1413, 7567, 1107, 14328, 10833, 1500, 540, 4837, 543, 5374, 269, 645, 1681, 267, 1318, 286, 2334, 781, 875, 930, 1004, 5433, 827, 2413, 626, 6189, 267, 799, 15091, 1599, 936, 1106, 269, 1677, 4161, 713, 7833, 640, 267, 16413, 3459, 19234, 609, 12050, 3029, 267, 7524, 4778, 267, 543, 6397, 2326, 269, 1358, 849, 16668, 6667, 689, 1585, 3140, 6163, 267, 11544, 873, 538, 3860, 2081, 269, 1452, 616, 1175, 513, 1906, 4162, 540, 2022, 19640, 6189, 780, 3080, 4583, 1383, 540, 2022, 19640, 6189, 568, 519, 623, 807, 3960, 320, 546, 262, 2005, 26515, 538, 1715, 20252, 267, 17039, 267, 2966, 676, 8176, 18703, 269, 7388, 1540, 538, 476, 3192, 279, 267, 713, 726, 18054, 2934, 30617, 267, 9587, 267, 543, 535, 870, 1622, 24188, 540, 3504, 7507, 855, 5916, 609, 10477, 3270, 543, 19440, 8279, 269, 898, 781, 899, 19480, 883, 513, 942, 3684, 1141, 2250, 267, 1459, 267, 543, 2104, 2458, 728, 2439, 5194, 8037, 4056, 945, 17947, 2022, 19640, 1143, 568, 7917, 20764, 19441, 269, 3571, 590, 1622, 12064, 30733, 10137, 547, 519, 2817, 20155, 538, 5507, 16621, 8106, 2609, 971, 607, 9587, 543, 7895, 9323, 1247, 4509, 513, 22488, 6891, 998, 922, 12623, 20470, 11768, 543, 627, 15501, 673, 16560, 18305, 269, 1635, 16471, 2025, 543, 1007, 267, 3978, 1145, 543, 9644, 267, 20764, 19441, 6322, 547, 1711, 6189, 602, 14753, 547, 3309, 9458, 780, 3719, 1946, 1705, 16413, 3442, 547, 2736, 2476, 689, 2757, 6272, 286, 4270, 267, 789, 4941, 547, 2243, 3964, 8155, 543, 28596, 4555, 827, 1018, 13054, 1434, 6189, 269, 5403, 19640, 1143, 7512, 5876, 267, 5647, 267, 543, 2565, 3206, 1107, 1983, 3407, 3564, 519, 7706, 540, 4070, 780, 1103, 3932, 267, 2022, 19640, 6189, 20217, 721, 547, 1294, 519, 1158, 8335, 269, 898, 2591, 14908, 267, 22842, 4763, 267, 543, 31168, 7279, 269, 1924, 1985, 942, 596, 1780, 676, 513, 15116, 23302, 2679, 267, 1491, 513, 4090, 547, 5660, 922, 2189, 19259, 269, 5808, 6487, 286, 1411, 1522, 581, 3168, 693, 513, 960, 540, 2022, 19640, 1148, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12606, 10046, 281, 7186, 11138, 32075, 338, 18963, 281, 589, 24135, 12960, 769, 8422, 20668, 476, 1220, 280, 454, 4407, 621, 729, 25432, 1360, 2966, 547, 2626, 606, 1880, 4647, 1433, 621, 21276, 569, 4080, 883, 835, 607, 9696, 11603, 811, 543, 811, 8041, 269, 1306, 519, 4647, 10046, 281, 7186, 32075, 338, 18963, 281, 589, 24135, 12960, 538, 8422, 20668, 540, 6240, 2164, 3893, 966, 1550, 941, 602, 646, 1131, 5965, 547, 5192, 811, 10546, 547, 519, 5734, 543, 538, 5147, 476, 1220, 276, 521, 1571, 7479, 12184, 2614, 3773, 607, 513, 6405, 11061, 269, 808, 558, 637, 568, 513, 4647, 10046, 281, 7186, 32075, 338, 18963, 281, 540, 26741, 569, 514, 342, 2297, 8668, 543, 1309, 1631, 8831, 8242, 1510, 31882, 3598, 7649, 689, 519, 1299, 269, 4647, 10046, 281, 7186, 32075, 338, 18963, 281, 589, 24135, 12960, 267, 1880, 1439, 12084, 610, 519, 6478, 12304, 1426, 269, 476, 1001, 274, 268, 4905, 268, 1015, 307, 1321, 281, 876, 281, 876, 10064, 5308, 5549, 269, 29430, 10830, 29369, 14625, 6245, 272, 268, 3451, 476, 12893, 628, 9335, 306, 269, 3776, 593, 338, 924, 4647, 10046, 281, 540, 3069, 6941, 721, 547, 581, 20821, 9194, 269, 476, 2735, 274, 268, 6187, 268, 4905, 307, 1321, 281, 876, 281, 876, 309, 301, 19296, 267, 5549, 269, 476, 1960, 277, 268, 4905, 268, 1321, 307, 1321, 281, 876, 281, 876, 303, 25605, 15306, 4566, 513, 1287, 1007, 4647, 10046, 281, 7186, 32075, 338, 16981, 593, 7829, 6176, 5303, 23194, 910, 2366, 267, 3381, 543, 7044, 267, 547, 6845, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8070, 19640, 1143, 257, 607, 851, 540, 834, 24086, 3951, 17614, 13543, 1315, 3778, 1315, 12634, 630, 3707, 276, 268, 29215, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3002, 6383, 3330, 519, 8027, 950, 896, 544, 730, 4452, 269, 670, 2752, 16249, 814, 5697, 1164, 27529, 15033, 7601, 18585, 17066, 602, 2226, 3586, 5122, 3601, 950, 12699, 269, 769, 1840, 519, 1164, 27529, 700, 9573, 5068, 7696, 338, 2327, 513, 3476, 3028, 1272, 563, 2026, 513, 1267, 540, 891, 2934, 267, 670, 2752, 16249, 779, 12390, 10378, 4400, 7843, 335, 28339, 666, 18385, 16641, 5665, 19355, 2175, 540, 1341, 1220, 9180, 267, 3246, 6905, 5665, 3076, 564, 1307, 543, 4180, 4389, 1899, 29987, 267, 3379, 547, 2841, 3218, 3435, 563, 265, 20684, 4704, 2707, 281, 4179, 2517, 4178, 269, 657, 13871, 8114, 1598, 625, 2593, 30406, 270, 750, 21573, 23293, 13807, 2880, 268, 4926, 22190, 997, 725, 13045, 763, 670, 2752, 16249, 5303, 6828, 568, 835, 540, 519, 1158, 779, 3056, 7426, 540, 4853, 4276, 2029, 585, 519, 1614, 3076, 3894, 540, 4578, 267, 28686, 543, 5295, 543, 814, 476, 1724, 2504, 2371, 543, 8371, 538, 476, 4510, 2477, 269, 5047, 267, 519, 2754, 849, 7472, 10685, 2638, 719, 1949, 267, 13590, 27103, 2209, 585, 16669, 543, 4853, 3126, 946, 267, 12123, 3937, 585, 3167, 6472, 267, 607, 1134, 607, 8800, 543, 3301, 585, 5561, 543, 3156, 538, 12957, 2029, 267, 7344, 543, 2030, 4702, 267, 17562, 543, 6283, 4702, 269, 769, 519, 476, 1001, 277, 270, 1704, 1870, 1032, 267, 930, 476, 275, 267, 7785, 5520, 6383, 6455, 540, 661, 7838, 476, 6858, 273, 2929, 563, 2690, 2417, 1344, 3643, 4179, 2517, 4178, 19544, 691, 532, 2593, 270, 20084, 19841, 3766, 321, 0, 8368, 540, 12937, 454, 268, 476, 272, 1215, 547, 2759, 3574, 1510, 513, 4718, 281, 8381, 28981, 13088, 454, 268, 476, 272, 269, 272, 1948, 272, 269, 1215, 547, 2759, 3574, 609, 513, 17180, 912, 268, 476, 272, 269, 273, 1948, 273, 269, 1215, 547, 2759, 3574, 609, 513, 16590, 912, 268, 476, 272, 269, 274, 1948, 274, 269, 4635, 513, 8325, 5672, 515, 974, 912, 268, 476, 272, 269, 275, 1948, 275, 269, 28981, 3574, 1510, 513, 4718, 281, 4635, 513, 8325, 4949, 454, 268, 476, 272, 269, 276, 1948, 276, 269, 4635, 669, 529, 1564, 912, 268, 476, 272, 269, 277, 1948, 277, 269, 28981, 3574, 609, 14742, 912, 268, 476, 272, 269, 278, 1948, 278, 269, 28981, 3574, 1210, 513, 18760, 912, 268, 476, 272, 269, 279, 1948, 279, 269, 4635, 513, 4234, 515, 912, 268, 476, 272, 269, 280, 1948, 280, 269, 28981, 8381, 1210, 513, 670, 809, 541, 3019, 454, 268, 476, 272, 269, 1015, 32279, 18542, 5999, 454, 268, 476, 273, 15937, 9293, 454, 296, 993, 513, 22386, 24158, 267, 543, 594, 917, 875, 547, 2759, 3574, 1510, 513, 4718, 269, 769, 713, 2376, 267, 594, 993, 2469, 547, 2671, 1250, 4052, 1995, 609, 513, 1906, 824, 1655, 3574, 5969, 2645, 563, 7212, 972, 616, 1114, 2010, 540, 4718, 338, 602, 616, 2139, 593, 519, 2344, 547, 2759, 519, 3574, 267, 2864, 982, 4718, 267, 596, 666, 849, 2759, 3574, 1210, 824, 2553, 563, 24841, 12827, 1154, 568, 606, 1148, 585, 799, 596, 723, 547, 723, 5578, 269, 3502, 1152, 13007, 267, 855, 621, 1058, 849, 991, 1416, 950, 3257, 621, 269, 27517, 568, 519, 3119, 1907, 585, 3574, 12827, 1154, 267, 855, 835, 949, 711, 723, 713, 547, 1864, 563, 3383, 267, 1256, 952, 513, 8026, 15790, 10938, 6499, 547, 2259, 713, 267, 666, 1406, 646, 798, 519, 2816, 1510, 513, 4718, 286, 1261, 666, 269, 594, 4718, 1034, 540, 519, 15790, 550, 619, 946, 1114, 22510, 9910, 9764, 4718, 338, 585, 741, 18789, 3785, 563, 2791, 786, 1265, 513, 2603, 540, 824, 2645, 547, 2759, 519, 3574, 269, 1280, 713, 267, 649, 991, 547, 917, 875, 547, 2759, 3574, 1510, 513, 4718, 610, 824, 1379, 2645, 269, 2913, 779, 917, 827, 519, 2645, 609, 741, 3252, 269, 594, 993, 2469, 547, 1865, 713, 267, 865, 3251, 609, 803, 563, 1692, 547, 2759, 3574, 1510, 513, 4718, 281, 8381, 28981, 13088, 454, 258, 272, 269, 1215, 547, 2759, 3574, 609, 513, 17180, 912, 2252, 930, 4773, 540, 3574, 9765, 519, 3259, 267, 1287, 596, 666, 4368, 621, 609, 513, 1134, 6879, 17369, 2989, 543, 22510, 17180, 269, 634, 1184, 568, 912, 268, 3689, 267, 32260, 707, 17180, 1210, 513, 3758, 563, 268, 2290, 1259, 568, 7598, 519, 1793, 13589, 4480, 269, 1280, 713, 267, 3180, 519, 3574, 799, 568, 547, 581, 2759, 16119, 543, 1210, 519, 17180, 267, 2759, 621, 693, 513, 1793, 5896, 5086, 563, 268, 2558, 574, 519, 3574, 779, 8728, 14013, 563, 268, 6271, 1259, 568, 267, 2759, 1507, 11353, 689, 519, 1448, 540, 5969, 676, 513, 17180, 269, 3973, 26882, 519, 3574, 1210, 707, 1688, 269, 1656, 1310, 602, 16013, 519, 2759, 609, 513, 8325, 17180, 269, 3767, 519, 3574, 568, 4712, 585, 946, 563, 268, 2340, 504, 350, 20804, 17920, 9358, 17252, 3633, 11123, 8863, 7709, 27334, 309, 5058, 5442, 21450, 590, 4953, 269, 1403, 596, 1810, 1406, 917, 875, 547, 2253, 707, 3574, 8364, 1324, 3460, 267, 1175, 798, 621, 609, 519, 2142, 11232, 1733, 8636, 1782, 14173, 269, 11370, 3539, 3574, 26002, 2645, 1305, 267, 596, 3580, 1205, 711, 1152, 31009, 855, 849, 8325, 2287, 16463, 588, 1886, 543, 1907, 533, 13224, 269, 634, 3574, 26002, 1305, 814, 782, 596, 991, 547, 1286, 557, 707, 3574, 9909, 281, 2274, 1430, 1341, 2717, 5109, 7623, 267, 5489, 841, 17180, 267, 28981, 17180, 267, 681, 965, 532, 17180, 543, 13088, 24305, 10375, 547, 4558, 707, 3574, 26002, 17180, 1305, 563, 268, 2340, 511, 494, 30426, 312, 744, 7473, 5508, 5990, 21398, 311, 18040, 3951, 26950, 5058, 918, 301, 9281, 292, 918, 3951, 269, 634, 23908, 21978, 6023, 540, 519, 3574, 8364, 1324, 31009, 2636, 596, 2324, 1082, 3108, 1510, 4743, 9854, 538, 519, 3946, 269, 634, 26002, 1305, 568, 2966, 4481, 585, 1346, 945, 5660, 4313, 1282, 2324, 609, 3574, 269, 3807, 1745, 519, 9547, 540, 1210, 519, 26002, 6539, 1317, 3574, 26002, 568, 513, 12257, 540, 519, 960, 2944, 269, 634, 13863, 26002, 17180, 1305, 2337, 596, 547, 2972, 1818, 11308, 12217, 267, 5017, 610, 824, 11308, 3785, 269, 5994, 1018, 596, 666, 798, 609, 519, 17642, 454, 268, 9462, 492, 479, 645, 12239, 717, 9281, 307, 9517, 12788, 547, 4444, 3574, 26002, 669, 529, 601, 1305, 585, 513, 19444, 607, 1134, 607, 513, 3318, 1286, 591, 269, 16440, 707, 942, 543, 2724, 3168, 585, 5078, 26002, 1907, 1305, 267, 1175, 4444, 17180, 26002, 6539, 689, 2142, 28316, 269, 5047, 267, 519, 26002, 2645, 6539, 568, 1390, 10516, 2093, 585, 707, 2828, 945, 616, 883, 3574, 627, 8636, 1782, 256, 2334, 779, 1946, 596, 3580, 2972, 3574, 8364, 1324, 585, 1082, 1296, 609, 519, 17180, 26002, 1305, 269, 15232, 519, 1187, 540, 3574, 26002, 2336, 268, 9462, 494, 375, 674, 6020, 2894, 13036, 312, 595, 19851, 6865, 2207, 590, 27263, 21201, 595, 22664, 269, 11370, 3539, 3574, 627, 8636, 1782, 2645, 6539, 267, 596, 3580, 1205, 711, 1152, 3574, 26002, 31009, 855, 849, 6325, 6075, 1489, 689, 519, 2142, 11232, 290, 2761, 269, 898, 779, 2653, 547, 3346, 721, 609, 1022, 3574, 26002, 3390, 596, 723, 269, 3807, 2119, 13863, 26002, 17180, 1305, 543, 596, 3580, 1205, 9547, 689, 707, 6909, 22386, 3785, 269, 1284, 2461, 5663, 3574, 26002, 2645, 585, 476, 276, 1296, 2907, 269, 2334, 779, 1946, 649, 917, 875, 3574, 26002, 17180, 6539, 1058, 960, 547, 2743, 707, 2115, 563, 268, 9462, 496, 364, 476, 1789, 5937, 17751, 306, 631, 24535, 312, 645, 19272, 30316, 2752, 19611, 7417, 281, 581, 2386, 952, 596, 4444, 26002, 2645, 1305, 543, 596, 616, 711, 13854, 609, 519, 1507, 26002, 2645, 610, 596, 4957, 707, 2247, 267, 1175, 3346, 721, 607, 4166, 607, 2009, 267, 649, 786, 2285, 596, 2407, 2724, 32479, 585, 519, 26002, 31009, 1305, 269, 1284, 616, 2141, 6126, 547, 1489, 596, 538, 1022, 3903, 596, 1118, 269, 17949, 932, 760, 2961, 1324, 609, 2142, 28316, 2336, 2791, 666, 2759, 1152, 6094, 4773, 540, 3574, 1210, 513, 8325, 17180, 269, 2913, 779, 1294, 875, 649, 666, 2759, 3819, 3574, 609, 513, 11369, 17180, 563, 258, 273, 269, 1215, 547, 2759, 3574, 609, 513, 16590, 912, 10111, 25871, 619, 4782, 1978, 2010, 540, 18137, 585, 11647, 4171, 4560, 568, 5266, 6094, 269, 4033, 7516, 616, 1454, 3476, 269, 769, 602, 2013, 267, 15790, 550, 619, 946, 513, 2298, 16590, 3684, 3533, 543, 3362, 1510, 13461, 593, 513, 4718, 563, 268, 3689, 267, 1118, 1896, 31432, 725, 593, 519, 3574, 1210, 513, 16590, 3684, 269, 634, 25180, 999, 1058, 581, 2228, 563, 268, 19244, 519, 1184, 2394, 519, 3574, 4991, 14020, 543, 1287, 2736, 1055, 2059, 519, 1899, 540, 31432, 725, 563, 268, 3973, 16013, 519, 3574, 8728, 1210, 1022, 1907, 267, 1775, 4318, 269, 8325, 17180, 610, 8325, 5672, 515, 974, 269, 3767, 707, 11647, 3574, 568, 4712, 547, 946, 563, 2171, 4126, 713, 16590, 3684, 666, 948, 912, 268, 3281, 716, 267, 17426, 1374, 13352, 883, 9395, 2127, 454, 268, 4400, 2773, 5179, 20205, 476, 4968, 1770, 26334, 856, 630, 308, 310, 302, 264, 540, 1379, 2702, 11264, 513, 2647, 2039, 540, 3156, 454, 268, 4400, 3432, 6771, 20205, 476, 273, 11250, 630, 271, 476, 14596, 1299, 476, 272, 267, 4335, 678, 10975, 264, 585, 513, 2039, 540, 3728, 2287, 543, 17656, 3156, 269, 932, 3089, 7392, 910, 6206, 1652, 454, 268, 476, 272, 270, 273, 6279, 2582, 19492, 557, 3731, 3832, 1154, 669, 3089, 2488, 9395, 3787, 17680, 6137, 4222, 454, 268, 8210, 12455, 5669, 6023, 20205, 4313, 543, 1852, 11053, 944, 654, 5954, 281, 476, 272, 269, 280, 10759, 454, 258, 274, 269, 4635, 513, 8325, 5672, 515, 974, 912, 2690, 5969, 519, 6094, 6151, 3574, 267, 15790, 550, 619, 4019, 713, 1907, 538, 1747, 540, 513, 4718, 269, 28981, 6151, 3364, 3574, 568, 711, 1945, 602, 2115, 547, 723, 513, 4718, 269, 589, 1134, 6879, 17369, 2989, 5672, 515, 974, 666, 798, 621, 7157, 563, 268, 3689, 267, 2697, 519, 1448, 689, 1141, 596, 1616, 547, 1376, 519, 2759, 543, 1665, 519, 1448, 5693, 1472, 519, 3574, 563, 268, 2422, 707, 8325, 5672, 515, 974, 585, 5969, 1507, 11353, 2059, 519, 6825, 1899, 693, 513, 1793, 5896, 2990, 269, 19244, 713, 593, 1312, 5011, 540, 519, 3574, 563, 268, 19244, 713, 1184, 2394, 519, 3574, 9397, 563, 268, 1677, 723, 8325, 8728, 267, 16013, 519, 8728, 676, 707, 8325, 5672, 515, 974, 563, 2791, 666, 10956, 519, 5650, 585, 3478, 607, 1082, 607, 18137, 269, 1924, 596, 1590, 711, 4096, 593, 519, 4718, 585, 5969, 18137, 563, 268, 476, 1240, 10759, 16405, 568, 4998, 585, 21757, 5394, 11453, 267, 14299, 4771, 5072, 267, 5969, 8371, 543, 27374, 543, 811, 538, 707, 13452, 543, 4677, 454, 268, 16547, 324, 6438, 16405, 2212, 2488, 3532, 267, 6417, 14299, 4771, 543, 24590, 454, 268, 2349, 1228, 7455, 3091, 7485, 24408, 1154, 1390, 585, 9427, 29186, 619, 543, 21757, 30676, 454, 268, 22291, 562, 14125, 8876, 1352, 987, 454, 268, 17151, 8135, 15549, 344, 454, 2252, 596, 1616, 547, 2759, 1022, 3819, 3529, 267, 513, 8325, 5672, 515, 974, 568, 835, 540, 519, 1655, 3681, 269, 2913, 779, 4585, 519, 2630, 3381, 585, 811, 1469, 912, 258, 275, 269, 28981, 3574, 1510, 513, 4718, 281, 4635, 513, 8325, 4949, 454, 288, 2362, 11098, 540, 3574, 596, 666, 2759, 1210, 513, 1283, 7779, 8325, 4949, 952, 596, 723, 1100, 4718, 538, 707, 6006, 269, 4014, 519, 1184, 568, 942, 21791, 267, 621, 568, 1732, 547, 946, 606, 4949, 269, 25613, 16040, 713, 568, 835, 540, 519, 1655, 2645, 547, 2759, 3574, 563, 268, 4460, 513, 2312, 19157, 1141, 596, 20053, 547, 1376, 689, 1472, 519, 3574, 269, 1656, 1287, 946, 513, 8325, 4949, 585, 5969, 1507, 11353, 1906, 6279, 689, 519, 1899, 563, 268, 1684, 713, 6024, 543, 1287, 1413, 883, 519, 824, 2427, 540, 519, 1899, 269, 1684, 519, 1482, 563, 268, 15566, 713, 2394, 519, 3574, 4991, 4617, 547, 2736, 563, 268, 2991, 8840, 267, 946, 519, 8325, 4949, 547, 16013, 519, 8728, 563, 296, 1589, 713, 568, 835, 540, 519, 2653, 2081, 547, 2759, 3574, 1510, 513, 4718, 269, 1548, 798, 596, 1589, 888, 268, 26758, 585, 26339, 3755, 24590, 5420, 268, 547, 1804, 13355, 20743, 454, 268, 23850, 585, 5021, 4398, 547, 2285, 596, 811, 835, 3613, 686, 651, 10943, 1080, 269, 7956, 3293, 1875, 1606, 28309, 17945, 6971, 1688, 8833, 543, 10607, 1852, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2333, 707, 8458, 540, 8391, 513, 2318, 3210, 689, 3425, 780, 1262, 3721, 476, 272, 281, 7994, 2659, 27010, 630, 763, 12287, 1411, 21763, 547, 17166, 8786, 21143, 6524, 16042, 4896, 267, 621, 781, 1898, 547, 2697, 519, 1367, 596, 1616, 547, 2170, 609, 269, 901, 1268, 568, 5219, 547, 607, 519, 834, 339, 13759, 1701, 27297, 741, 2623, 267, 10571, 3009, 267, 543, 10450, 547, 3313, 952, 789, 3100, 3839, 543, 32615, 547, 6643, 780, 265, 2878, 16498, 18567, 5093, 18972, 2097, 538, 1585, 5546, 267, 7306, 267, 6502, 267, 543, 2960, 18565, 269, 5213, 1405, 5855, 1932, 1454, 827, 891, 3604, 282, 1445, 593, 4466, 2576, 945, 5526, 17159, 543, 1930, 563, 265, 2878, 293, 18432, 25285, 5093, 589, 9543, 12837, 610, 9243, 4082, 666, 5815, 7789, 2032, 269, 3680, 2043, 18071, 4191, 540, 10845, 267, 17140, 267, 610, 30411, 630, 324, 3052, 1421, 18084, 7916, 267, 9663, 992, 539, 8202, 267, 610, 7920, 588, 4100, 693, 1507, 25965, 1916, 265, 2878, 8070, 675, 5093, 4658, 7555, 909, 2786, 610, 9361, 20354, 616, 811, 2693, 547, 4497, 538, 6643, 982, 1346, 1793, 537, 4221, 610, 10709, 532, 2476, 780, 1262, 3721, 476, 273, 281, 13979, 2659, 27010, 4373, 3086, 602, 596, 4312, 5697, 707, 3077, 267, 621, 781, 942, 547, 20006, 3346, 269, 8844, 2509, 873, 9350, 569, 543, 18390, 267, 9319, 6727, 5322, 602, 1522, 1376, 548, 873, 780, 265, 2878, 3682, 343, 14383, 5093, 5776, 1369, 6186, 781, 3259, 630, 12671, 476, 1240, 268, 2190, 6279, 264, 547, 1397, 1719, 1510, 32415, 2123, 2230, 269, 2142, 13533, 540, 2686, 7648, 282, 930, 3425, 949, 4782, 513, 6251, 610, 20991, 3845, 563, 265, 2878, 292, 6614, 13555, 5093, 5269, 5618, 3750, 3346, 630, 283, 274, 7643, 264, 2390, 1935, 547, 11760, 741, 4527, 269, 27915, 3750, 3346, 3085, 1405, 1611, 771, 15517, 282, 2864, 267, 621, 2982, 2463, 585, 2123, 6302, 563, 265, 2878, 28694, 5678, 5093, 5901, 707, 17525, 17159, 267, 4608, 1484, 707, 7916, 267, 543, 2057, 535, 573, 1326, 532, 269, 1452, 26068, 10291, 6655, 22371, 543, 3659, 17349, 780, 1262, 3721, 476, 274, 281, 13983, 564, 2659, 27010, 4373, 288, 3636, 28551, 5036, 519, 3159, 585, 513, 3811, 5872, 269, 2422, 11913, 543, 1875, 31646, 6786, 547, 3715, 513, 4276, 780, 265, 2878, 19723, 4472, 13983, 7566, 5093, 28423, 5693, 543, 946, 513, 7874, 3159, 950, 6031, 32597, 269, 5871, 26250, 902, 1331, 912, 453, 266, 834, 15916, 30882, 453, 266, 834, 17098, 267, 875, 616, 596, 24350, 453, 266, 834, 20756, 267, 1018, 781, 909, 8119, 630, 514, 845, 531, 994, 265, 2878, 15239, 13305, 518, 4472, 595, 1132, 26279, 453, 266, 3911, 850, 27145, 267, 855, 711, 23494, 563, 453, 266, 715, 617, 707, 2212, 5594, 547, 1397, 11760, 618, 563, 453, 266, 19321, 9543, 267, 17573, 3750, 3346, 780, 1262, 3721, 476, 275, 281, 12706, 681, 1952, 677, 4373, 15307, 28344, 1455, 2666, 676, 2502, 538, 1769, 6643, 267, 1634, 607, 834, 20791, 2911, 3010, 265, 2878, 8340, 32655, 9314, 338, 5093, 9105, 2055, 1644, 547, 741, 1604, 267, 13567, 267, 610, 12348, 269, 19415, 18906, 1947, 547, 741, 6114, 547, 1628, 4296, 563, 265, 2878, 8196, 7046, 7232, 526, 539, 5999, 5093, 11559, 4901, 676, 6998, 2055, 4358, 609, 1018, 267, 1141, 267, 1946, 267, 610, 875, 3079, 540, 2241, 9811, 270, 7224, 14511, 563, 265, 2878, 17004, 2637, 9334, 9314, 5093, 18224, 15131, 543, 7279, 950, 7234, 3584, 602, 13469, 609, 707, 3077, 780, 1262, 3721, 476, 276, 281, 10558, 2659, 32369, 4373, 28733, 569, 24808, 707, 7662, 267, 1818, 2386, 621, 781, 10257, 543, 16614, 780, 265, 2878, 6826, 6034, 5093, 3557, 707, 9837, 13801, 569, 267, 9319, 22394, 610, 22801, 6898, 563, 265, 2878, 8196, 2717, 924, 5678, 5093, 19308, 2453, 899, 834, 25898, 596, 2247, 29389, 610, 834, 27745, 594, 2307, 907, 4799, 265, 2878, 22879, 5915, 21505, 570, 821, 5093, 1912, 19189, 707, 7662, 607, 513, 2243, 267, 3850, 519, 824, 5428, 547, 4431, 11884, 780, 1262, 3721, 476, 277, 281, 29594, 547, 4256, 8382, 4373, 15371, 707, 3077, 3081, 9811, 610, 1100, 267, 2226, 513, 1178, 4109, 10182, 543, 2746, 9935, 780, 265, 2878, 8133, 15863, 26279, 453, 266, 18124, 14696, 1210, 2453, 899, 834, 14188, 596, 865, 1454, 10590, 610, 834, 296, 5660, 621, 4799, 453, 266, 4762, 3305, 3877, 543, 12172, 6788, 563, 265, 2878, 5591, 15863, 26279, 453, 266, 31158, 1578, 741, 3375, 609, 513, 30251, 8360, 267, 971, 607, 834, 6546, 781, 15502, 267, 9684, 596, 19037, 4799, 453, 266, 8058, 1620, 543, 1810, 1405, 2604, 873, 2417, 780, 1262, 289, 517, 639, 9669, 16001, 265, 6657, 3742, 6947, 547, 1732, 10146, 707, 3077, 781, 2115, 543, 4145, 563, 265, 11154, 707, 12334, 2687, 547, 519, 3510, 267, 5304, 267, 543, 2796, 563, 265, 21727, 2685, 3398, 18349, 543, 1847, 4464, 1107, 972, 616, 7899, 540, 3255, 6619, 2439, 23558, 593, 11264, 938, 3573, 5850, 256, 2060, 9639, 267, 2259, 267, 543, 18094, 267, 596, 3513, 1831, 21295, 538, 7479, 8172, 3425, 547, 2161, 9811, 269, 5457, 547, 3251, 8049, 267, 28450, 267, 543, 9758, 538, 707, 4205, 267, 543, 596, 3513, 8853, 538, 713, 4241, 1007, 1158, 780, 31917, 3695, 267, 543, 1434, 9939, 593, 707, 3618, 569, 9035, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 7476, 930, 835, 547, 2161, 8786, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 769, 519, 7706, 540, 1126, 14223, 267, 1906, 2152, 616, 607, 1950, 543, 14156, 9901, 607, 26692, 543, 1471, 2787, 13882, 5473, 23948, 730, 3237, 269, 634, 2591, 5185, 676, 891, 2043, 15549, 2027, 3007, 1813, 547, 741, 2189, 6381, 543, 519, 1761, 1764, 593, 519, 8171, 540, 1453, 3238, 269, 901, 3184, 12538, 2620, 883, 519, 3656, 14960, 4478, 26692, 543, 1471, 2787, 13882, 1369, 519, 2796, 540, 23948, 730, 30822, 11856, 267, 5373, 2390, 4143, 2013, 4031, 267, 14046, 1382, 267, 543, 4207, 1514, 9840, 269, 3414, 2565, 2079, 543, 4052, 3498, 5751, 267, 1053, 786, 2744, 513, 4396, 5748, 538, 5883, 971, 4101, 7653, 780, 272, 269, 4197, 31654, 617, 658, 7126, 543, 13786, 4850, 692, 6524, 3695, 519, 1808, 6286, 540, 8169, 617, 658, 12417, 585, 23948, 730, 3237, 267, 621, 781, 2629, 1101, 547, 3715, 4909, 3741, 12044, 1126, 26692, 3664, 269, 1452, 949, 4268, 2066, 22875, 282, 2705, 267, 1034, 2829, 15666, 547, 930, 4528, 540, 519, 31538, 4132, 31654, 1328, 808, 9766, 323, 2109, 543, 2037, 7593, 2920, 630, 308, 6717, 297, 12788, 1070, 799, 11394, 547, 7413, 954, 8063, 7526, 3823, 12721, 6811, 540, 16278, 269, 2311, 922, 4295, 267, 772, 6717, 297, 12788, 6663, 547, 2327, 6617, 585, 1453, 1282, 19979, 18659, 676, 8260, 908, 1219, 2397, 547, 10470, 1141, 3119, 1416, 339, 5474, 21078, 8259, 8903, 4128, 27774, 6382, 780, 273, 269, 13751, 15753, 3311, 717, 1478, 940, 5549, 22531, 730, 623, 13873, 11856, 692, 763, 7915, 7965, 15054, 676, 23948, 566, 1289, 585, 3358, 9086, 5466, 26692, 543, 1471, 2787, 6927, 708, 2364, 908, 16876, 3237, 269, 1280, 3236, 267, 8791, 476, 14631, 269, 5881, 277, 5416, 264, 540, 519, 7147, 7731, 8943, 23616, 12885, 602, 606, 1367, 781, 9000, 1813, 547, 23948, 566, 1281, 711, 8850, 771, 23974, 1518, 873, 689, 13844, 5480, 268, 23912, 15896, 610, 1569, 269, 1717, 267, 1896, 2188, 1590, 581, 2808, 950, 10442, 4620, 1431, 19429, 676, 29802, 6105, 267, 1519, 1384, 268, 20028, 1063, 1747, 540, 30693, 543, 15335, 540, 11122, 1807, 610, 1126, 3248, 268, 2997, 22355, 540, 6283, 3248, 268, 3171, 553, 2225, 540, 4509, 2834, 3346, 3248, 268, 8232, 1377, 540, 15494, 531, 9744, 3248, 268, 7102, 9993, 13684, 676, 12250, 6042, 780, 11101, 267, 1533, 9777, 2137, 723, 5051, 6444, 519, 991, 585, 7463, 10873, 23695, 4481, 547, 23948, 730, 5095, 269, 4993, 13909, 9291, 3143, 269, 476, 14983, 279, 5713, 607, 513, 6305, 1383, 267, 2278, 1944, 10315, 2625, 566, 13623, 547, 7520, 24892, 11564, 1063, 14718, 25476, 543, 5634, 4096, 757, 269, 1635, 7175, 971, 4205, 267, 14519, 2832, 547, 8190, 22686, 7554, 5103, 2168, 7496, 25517, 998, 7803, 5126, 9525, 780, 274, 269, 19484, 13216, 885, 28259, 532, 6250, 2787, 28081, 906, 692, 14106, 2787, 4564, 513, 22294, 3390, 29270, 23948, 730, 3237, 5275, 6209, 6278, 609, 741, 1453, 269, 2755, 1978, 6703, 2709, 593, 338, 924, 5752, 2966, 547, 13918, 1920, 22653, 2305, 3646, 267, 1082, 1866, 3668, 6190, 2200, 2556, 547, 1489, 11295, 1471, 2787, 7341, 269, 9182, 267, 3885, 1419, 7237, 1713, 2845, 6750, 23665, 12394, 547, 6582, 5812, 267, 2298, 942, 1927, 780, 10702, 8374, 8451, 950, 6236, 2085, 22190, 10187, 520, 8864, 540, 5872, 12331, 269, 8479, 518, 1453, 3335, 2154, 6251, 15569, 3379, 547, 10708, 945, 666, 4497, 538, 1447, 25516, 5468, 269, 14044, 5867, 1683, 4244, 18817, 585, 6552, 2792, 282, 2705, 267, 789, 1932, 1459, 19363, 971, 607, 6639, 7687, 267, 7834, 4145, 267, 543, 19514, 6388, 2066, 5238, 269, 1306, 971, 267, 9439, 7674, 23948, 730, 7218, 1058, 2611, 21713, 827, 9687, 1655, 2853, 6322, 693, 5807, 2635, 3347, 9624, 14488, 780, 275, 269, 21344, 5398, 8881, 19047, 1996, 10572, 20126, 692, 5194, 4494, 540, 6988, 19674, 950, 20604, 1857, 3106, 840, 5766, 2510, 1471, 268, 14504, 23724, 2123, 11222, 4106, 894, 3853, 269, 4856, 14431, 531, 8128, 2226, 24787, 776, 7060, 7282, 1471, 2787, 22864, 267, 3006, 27102, 13668, 1759, 593, 9228, 6937, 547, 12250, 1931, 610, 2146, 10304, 269, 6270, 1999, 5209, 554, 16636, 7361, 2390, 3354, 1981, 10526, 5342, 5083, 340, 656, 547, 3964, 7355, 269, 16480, 267, 13253, 6414, 1063, 8497, 13338, 23118, 543, 4180, 7850, 28863, 1996, 973, 573, 13659, 4220, 780, 1607, 10347, 11466, 11498, 3564, 7525, 7890, 2474, 267, 21214, 2022, 3146, 3161, 4058, 9270, 7533, 547, 3811, 556, 15759, 1674, 18129, 269, 3474, 1961, 12545, 22991, 3815, 1920, 13218, 883, 5305, 3664, 2016, 2963, 11744, 4389, 3928, 540, 973, 573, 13659, 1851, 608, 11325, 11367, 11981, 7347, 1489, 5121, 269, 11048, 267, 29886, 2055, 17640, 547, 3617, 2157, 540, 23388, 561, 5424, 267, 20872, 5571, 19929, 1472, 6099, 3609, 6114, 780, 276, 269, 31943, 518, 11150, 585, 18601, 31654, 1328, 1299, 6250, 2787, 2598, 1584, 525, 692, 11693, 519, 15491, 2470, 540, 891, 2591, 267, 4648, 2324, 1369, 1126, 14223, 543, 2404, 4610, 1590, 11349, 3309, 5578, 5036, 5827, 540, 3927, 27410, 31341, 6681, 14099, 269, 6206, 21941, 1331, 1384, 268, 19361, 1436, 609, 2199, 29071, 543, 9551, 1113, 5947, 902, 5935, 16324, 12496, 540, 23948, 566, 5222, 593, 8169, 617, 658, 1303, 1856, 906, 3248, 268, 4515, 11351, 538, 14379, 1950, 3656, 2035, 1174, 2406, 2066, 1585, 9458, 630, 324, 3052, 1421, 16488, 267, 27192, 267, 3028, 7426, 11850, 268, 31727, 547, 12398, 543, 15407, 2139, 2200, 29103, 1359, 7817, 1569, 547, 13508, 2533, 267, 6219, 6057, 2126, 3292, 267, 2816, 2866, 3255, 3092, 269, 3248, 268, 11576, 6638, 2509, 2686, 4763, 543, 14227, 13103, 12018, 12790, 2950, 262, 2833, 15025, 609, 6101, 3656, 1949, 780, 3528, 6220, 891, 4030, 883, 2259, 16097, 267, 15156, 1796, 1732, 17479, 547, 3895, 15028, 4093, 585, 7925, 14218, 4293, 1671, 333, 1563, 538, 1486, 26167, 26692, 12959, 31523, 609, 10462, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 519, 1950, 1158, 540, 4132, 13363, 633, 7896, 630, 290, 4916, 264, 538, 7147, 267, 23948, 730, 3237, 3068, 513, 2189, 1305, 540, 2591, 269, 901, 3102, 3391, 7710, 519, 16082, 540, 10188, 595, 4916, 2665, 585, 1346, 3297, 13063, 269, 898, 779, 606, 1898, 4199, 585, 1620, 519, 10167, 540, 23948, 566, 543, 15366, 2924, 896, 7147, 1876, 269, 3371, 779, 875, 281, 10088, 2286, 513, 4132, 13363, 633, 7896, 8865, 607, 606, 5549, 22531, 730, 9977, 563, 303, 27348, 713, 281, 10088, 2286, 513, 4132, 13363, 633, 7896, 8865, 607, 606, 5549, 22531, 730, 9977, 563, 2791, 2461, 513, 2385, 538, 7147, 267, 855, 972, 779, 513, 6335, 1107, 596, 2461, 849, 3297, 13063, 269, 1215, 798, 596, 6330, 519, 28618, 540, 4132, 13363, 633, 7896, 630, 290, 4916, 264, 1247, 23948, 730, 286, 898, 779, 513, 9183, 811, 1455, 982, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 729, 9808, 9853, 609, 2042, 267, 607, 596, 8959, 547, 1685, 1256, 519, 1034, 2596, 540, 1870, 3741, 971, 607, 14664, 532, 707, 2856, 543, 15388, 707, 2872, 563, 303, 4958, 754, 602, 649, 2951, 1394, 547, 519, 1376, 540, 7720, 976, 14653, 2142, 518, 1107, 596, 1631, 14393, 1529, 3585, 723, 513, 2034, 4960, 547, 1118, 1919, 1318, 269, 7490, 1683, 519, 1739, 1344, 676, 3257, 519, 3617, 1382, 630, 2224, 1459, 1554, 2338, 2187, 272, 264, 8110, 845, 606, 5007, 2079, 540, 7720, 976, 14653, 2142, 518, 267, 1519, 454, 320, 10422, 12239, 5085, 263, 3369, 1961, 264, 2079, 267, 547, 2697, 1018, 5007, 3688, 1522, 1764, 707, 1870, 543, 875, 454, 321, 269, 5522, 582, 513, 829, 24632, 4786, 540, 519, 2136, 2276, 14420, 2872, 267, 1210, 1079, 4162, 602, 6800, 1589, 616, 1034, 1271, 630, 516, 14142, 713, 994, 273, 264, 16521, 707, 3077, 2344, 454, 320, 2529, 1122, 618, 519, 7082, 2344, 543, 3442, 707, 1808, 3077, 2344, 585, 7720, 976, 14653, 269, 2142, 607, 10855, 607, 2009, 827, 707, 3077, 2344, 267, 543, 2491, 1946, 596, 1500, 707, 3664, 630, 10193, 5225, 4766, 1022, 10054, 596, 1500, 1916, 274, 264, 1432, 568, 519, 2450, 540, 707, 3077, 2344, 888, 320, 20136, 1131, 581, 519, 1297, 540, 1761, 6800, 945, 3514, 1369, 519, 4162, 540, 707, 3077, 2344, 269, 1411, 666, 1265, 713, 998, 1382, 563, 275, 264, 2252, 1142, 1761, 7082, 538, 707, 3077, 2344, 12349, 835, 11480, 540, 7720, 976, 14653, 693, 1269, 276, 267, 875, 1454, 8907, 786, 596, 1118, 888, 17138, 8525, 609, 2012, 267, 7548, 267, 1576, 2012, 282, 476, 272, 16357, 19114, 282, 476, 1321, 28887, 13944, 282, 3318, 11768, 17090, 2511, 630, 10175, 4835, 14327, 543, 513, 1568, 11855, 2985, 1916, 272, 264, 4467, 921, 28467, 543, 2953, 1145, 281, 1705, 596, 2232, 1142, 540, 519, 1657, 476, 275, 6810, 4625, 543, 7157, 888, 273, 264, 26660, 540, 3194, 281, 1705, 596, 798, 2614, 1382, 267, 543, 729, 621, 519, 1318, 1382, 888, 274, 264, 26705, 1154, 270, 32153, 1143, 281, 1705, 596, 1246, 5528, 5265 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3800, 540, 519, 12415, 540, 835, 786, 581, 3160, 547, 519, 1587, 540, 519, 3800, 540, 519, 12415, 540, 519, 824, 269, 634, 1614, 5376, 916, 585, 519, 18448, 539, 9095, 338, 547, 519, 5086, 540, 1079, 8126, 757, 267, 1079, 3813, 1218, 610, 476, 272, 17242, 543, 476, 272, 3813, 656, 616, 24298, 676, 519, 5961, 2630, 269, 1452, 5376, 916, 616, 1031, 538, 3592, 1169, 1966, 602, 9388, 609, 10580, 269, 769, 7612, 476, 274, 267, 3813, 656, 12415, 9474, 543, 7131, 12969, 3544, 519, 5858, 693, 661, 269, 1280, 1383, 267, 519, 11963, 642, 1846, 540, 5137, 568, 1631, 476, 274, 6113, 1377, 267, 2864, 982, 476, 278, 628, 267, 607, 621, 729, 538, 519, 3312, 11933, 916, 1299, 774, 320, 15436, 21395, 269, 3371, 616, 519, 5773, 676, 799, 519, 17781, 18185, 11887, 782, 540, 513, 5858, 781, 1239, 689, 1175, 476, 273, 4632, 269, 19358, 757, 689, 513, 1448, 616, 3160, 538, 3259, 11532, 269, 6423, 875, 1134, 596, 3314, 621, 538, 713, 13174, 23722, 7688, 256, 269, 1717, 267, 2016, 1114, 5036, 540, 824, 2418, 827, 513, 6906, 267, 621, 568, 2009, 547, 5173, 519, 15943, 538, 824, 2081, 269, 769, 30533, 539, 7285, 543, 29977, 1323, 27485, 5086, 568, 606, 5086, 602, 814, 922, 14584, 593, 519, 5858, 543, 519, 12345, 540, 519, 5086, 616, 27871, 540, 519, 5858, 269, 7981, 5741, 265, 476, 1321, 269, 476, 32133, 3040, 27485, 5086, 267, 533, 269, 8562, 636, 12401, 2443, 519, 15943, 610, 10465, 1899, 540, 513, 5858, 269, 21121, 11298, 289, 568, 606, 568, 30801, 6906, 865, 5086, 667, 19447, 568, 269, 19577, 540, 519, 11532, 269, 1160, 1324, 5858, 5376, 916, 24234, 538, 513, 12931, 22511, 1284, 1616, 547, 6961, 602, 519, 5086, 5705, 2105, 693, 519, 18592, 676, 513, 12931, 22511, 568, 513, 1318, 5086, 269, 15656, 717, 648, 324, 538, 1250, 1974, 476, 276, 1362, 689, 476, 1220, 280, 269, 589, 1390, 942, 1606, 11232, 585, 891, 9273, 568, 513, 2370, 8153, 12166, 11532, 799, 2829, 602, 8164, 476, 273, 22334, 630, 514, 713, 2013, 9474, 543, 7131, 264, 540, 513, 5858, 12969, 693, 513, 1448, 661, 267, 1287, 589, 292, 3040, 661, 289, 815, 9460, 3040, 11581, 8786, 267, 621, 7140, 856, 602, 834, 577, 867, 257, 7131, 568, 849, 519, 5858, 781, 8006, 543, 519, 476, 273, 22334, 2743, 693, 1318, 7285, 855, 9444, 568, 2838, 585, 519, 11532, 547, 3180, 3020, 269, 630, 2419, 867, 11532, 264, 634, 16147, 11532, 2829, 602, 952, 1079, 22334, 267, 7131, 543, 31246, 267, 12969, 693, 717, 267, 1287, 281, 1948, 301, 258, 7374, 1422, 10383, 667, 294, 815, 661, 294, 1422, 10383, 674, 294, 269, 634, 4542, 585, 519, 15943, 540, 513, 6906, 570, 568, 570, 815, 2427, 513, 1341, 2427, 536, 1341, 2427, 524, 267, 607, 2938, 538, 519, 4137, 2630, 15545, 9978, 12910, 11659, 269, 2986, 1576, 267, 621, 1152, 10039, 547, 1318, 268, 22931, 12730, 267, 855, 568, 513, 1360, 1271, 11532, 269, 898, 568, 835, 540, 1271, 2645, 538, 519, 22301, 781, 19070, 531, 267, 1031, 547, 6961, 513, 3984, 540, 824, 5376, 916, 538, 27018, 543, 6715, 1537, 20145, 269, 1924, 267, 5682, 779, 11532, 267, 607, 7150, 267, 786, 711, 960, 593, 4525, 602, 723, 9475, 538, 873, 269, 476, 4391, 17781, 5086, 5376, 916, 269, 476, 274, 5381, 12443, 326, 976, 476, 279, 269, 2999, 19881, 8921, 3436, 10201, 622, 10126, 11532, 281, 634, 5086, 630, 10382, 264, 1063, 519, 17242, 543, 519, 16147, 693, 519, 1448, 540, 3346, 269, 19358, 550, 7302, 867, 11532, 269, 700, 262, 295, 641, 1388, 781, 14329, 7689, 476, 279, 6201, 630, 514, 11079, 1507, 15494, 264, 700, 262, 295, 641, 1388, 781, 14329, 543, 8033, 8462, 693, 513, 8672, 547, 16534, 585, 5565, 1133, 3104, 985, 269, 634, 1655, 4367, 1869, 568, 595, 269, 1411, 666, 1376, 4730, 585, 1863, 256, 25355, 14497, 910, 12726, 4569, 6657, 10819, 634, 2979, 2042, 2630, 666, 581, 6383, 676, 4569, 30360, 269, 20676, 545, 9076, 559, 831, 1023, 269, 24234, 538, 513, 590, 2438, 22511, 630, 1320, 2297, 262, 14497, 264, 1323, 5086, 27485, 2066, 513, 5858, 781, 8006, 568, 2141, 513, 1318, 5086, 281, 630, 763, 1439, 2798, 616, 2901, 1439, 540, 513, 5858, 781, 8006, 267, 519, 30085, 1448, 666, 581, 9170, 593, 519, 18592, 269, 634, 17242, 693, 513, 1448, 593, 513, 5858, 568, 693, 1318, 7285, 547, 713, 8953, 269, 634, 7300, 3568, 1312, 2475, 543, 5177, 12411, 687, 540, 519, 19297, 269, 25355, 14497, 6096, 11554, 609, 519, 25355, 14497, 269, 1403, 1079, 22334, 12969, 538, 513, 5858, 267, 519, 1587, 540, 519, 13080, 540, 519, 12415, 540, 835, 16147, 3160, 519, 1587, 540, 519, 12415, 540, 519, 824, 269, 3955, 4167, 532, 27116, 656, 6874, 836, 550, 14497, 1403, 513, 17242, 10126, 543, 513, 3813, 656, 10126, 616, 6537, 547, 513, 5858, 689, 606, 16538, 1448, 267, 1287, 519, 4009, 540, 519, 2268, 540, 519, 17242, 10126, 568, 3160, 547, 519, 1587, 540, 519, 3800, 540, 519, 3813, 656, 10126, 543, 922, 5007, 3813, 656, 10126, 269, 5556, 745, 550, 12730, 786, 723, 4625, 12805, 7285, 543, 5011, 269, 4635, 713, 8953, 543, 17242, 11532, 267, 543, 519, 5086, 538, 513, 10859, 5858, 11532, 267, 649, 666, 1631, 4020, 8126, 757, 547, 513, 5858, 609, 8998, 744, 689, 513, 1448, 623, 3544, 519, 5858, 269, 3399, 4974, 17781, 5376, 916, 476, 272, 268, 279, 269, 1535, 1341, 1535, 1341, 586, 1341, 586, 815, 476, 5197, 4113, 22217, 1518, 269, 6684, 267, 1079, 22334, 540, 3160, 3259, 5705, 754, 3160, 5086, 693, 519, 4099, 269, 634, 16968, 849, 2488, 1469, 827, 519, 2450, 540, 1880, 7285, 543, 6799, 513, 2312, 7778, 540, 875, 547, 960, 519, 7285, 856, 1210, 519, 2953, 4542, 269, 1284, 849, 723, 602, 31221, 27398, 543, 31221, 3722, 291, 616, 269, 898, 568, 3989, 607, 513, 476, 273, 1341, 536, 476, 273, 815, 524, 476, 273, 267, 1141, 834, 320, 257, 543, 834, 321, 257, 616, 519, 3259, 543, 4463, 630, 14259, 697, 3515, 264, 540, 519, 6906, 543, 834, 322, 257, 568, 519, 30494, 630, 22931, 1899, 1040, 1452, 616, 4625, 17676, 19297, 593, 634, 16390, 540, 17781, 11933, 916, 269, 14497, 476, 272, 24315, 16165, 4338, 295, 1879, 1079, 22334, 540, 519, 1482, 5858, 12969, 267, 1142, 16147, 568, 5258, 883, 1079, 12415, 676, 519, 824, 16147, 269, 17781, 11933, 916, 630, 290, 311, 290, 11483, 4488, 543, 23722, 4569, 31280, 264, 910, 30991, 281, 476, 272, 281, 2767, 281, 6078, 269, 8191, 281, 23095, 676, 4934, 9227, 318, 4910, 1545, 269, 1403, 1079, 12730, 13235, 543, 623, 304, 305, 616, 21412, 896, 519, 19359, 589, 910, 623, 267, 645, 29841, 543, 595, 7304, 267, 1287, 3090, 1227, 267, 621, 568, 6829, 607, 18529, 13235, 18529, 623, 304, 305, 269, 27449, 1107, 5858, 5376, 916, 910, 2353, 938, 3992, 25690, 2238, 1927, 538, 835, 13561, 1747, 256, 10658, 26072, 267, 2319, 3756, 267, 6746, 2329, 21889, 543, 824, 2656, 2238, 547, 14736, 1055, 707, 13004, 4245, 269, 24234, 5723, 291, 815, 476, 7918, 4113, 269, 1280, 513, 2016, 5858, 267, 1589, 540, 320, 8953, 543, 513, 8006, 607, 12415, 543, 1492, 8953, 543, 1492, 8006, 607, 13080, 269, 634, 5086, 1063, 519, 17242, 1899, 693, 513, 1448, 543, 519, 8953, 547, 519, 1482, 1448, 593, 513, 5858, 568, 2141, 476, 3445, 4113, 269, 3962, 11532, 814, 922, 1378, 2956, 543, 789, 782, 1590, 581, 8357, 1242, 538, 1931, 547, 8011, 538, 9511, 17640, 547, 10580, 269, 6490, 528, 1436, 540, 12596, 568, 1018, 568, 2877, 269, 21482, 573, 540, 28641, 21482, 573, 540, 28641, 729, 513, 5259, 22301, 945, 5030, 936, 476, 1220, 271, 1296, 3516, 267, 543, 568, 1419, 1572, 519, 4651, 540, 9511, 269, 476, 272, 264, 966, 681, 476, 6344, 11019, 286, 476, 2004, 11019, 772, 570, 476, 3583, 11019, 476, 273, 264, 570, 623, 476, 12893, 11019, 476, 2004, 11019, 286, 772, 966, 476, 4792, 11019, 476, 274, 264, 772, 962, 476, 2004, 11019, 476, 3583, 11019, 7790, 570, 590, 476, 6344, 11019, 476, 275, 264, 681, 623, 476, 1839, 11019, 476, 3199, 11019, 286, 590, 570, 476, 10755, 11019, 476, 276, 264, 667, 595, 570, 476, 9610, 11019, 476, 3393, 11019, 286, 661, 476, 4817, 11019, 476, 277, 264, 772, 590, 808, 476, 8099, 11019, 476, 3199, 11019, 7790, 570, 476, 1789, 11019, 476, 278, 264, 717, 570, 661, 476, 2764, 11019, 476, 6812, 11019, 286, 674, 476, 10436, 11019, 476, 279, 264, 1627, 623, 717, 476, 3374, 11019, 476, 4817, 11019, 286, 681, 476, 9873, 11019, 16534, 269, 476, 736, 15406, 316, 16387, 18361, 2433, 23155, 6945, 19577, 338, 267, 25355, 14497, 267, 2560, 17781, 9511, 5376, 916, 269, 6423, 875, 1134, 596, 3314, 621, 538, 713, 13174, 23722, 7688, 256, 269, 1358, 4951, 602, 267, 538, 519, 2013, 540, 10496, 11893, 2597, 3252, 267, 519, 21714, 269, 634, 13080, 540, 519, 1079, 8126, 757, 689, 513, 1448, 547, 513, 5858, 616, 3160, 269, 4855, 519, 3259, 540, 13698, 269, 19449, 3380, 616, 22691, 609, 5376, 916, 269, 5565, 10945, 540, 519, 1482, 5011, 616, 21412, 269, 769, 30533, 539, 7285, 543, 29977, 1323, 27485, 5086, 568, 606, 5086, 602, 814, 922, 14584, 593, 519, 5858, 543, 519, 12345, 540, 519, 5086, 616, 27871, 540, 519, 5858, 269, 634, 5858, 568, 513, 30580, 540, 782, 519, 2798, 602, 616, 519, 1482, 3845, 689, 835, 1448, 269, 634, 16390, 540, 17781, 11933, 916, 1452, 616, 4625, 17676, 19297, 593, 634, 16390, 540, 17781, 11933, 916, 269, 634, 1657, 11532, 568, 519, 598, 2091, 540, 519, 14497, 476, 1015, 269, 8074, 602, 713, 568, 513, 8953, 540, 519, 5858, 269, 17781, 14497, 476, 272, 910, 24234, 693, 519, 10418, 269, 634, 598, 2091, 540, 713, 1267, 849, 6585, 269, 1924, 267, 1577, 779, 1294, 875, 649, 666, 4308, 609, 1346, 5686, 540, 4525, 269, 898, 2829, 602, 524, 273, 30381, 273, 17070, 273, 267, 595, 568, 519, 2427, 602, 568, 6587, 519, 1318, 5086, 799, 568, 5219, 547, 607, 519, 30494, 269, 18185, 585, 21121, 11933, 916, 589, 8150, 267, 589, 3008, 267, 589, 6347, 267, 6789, 306, 630, 306, 6347, 1070, 590, 3008, 543, 590, 7704, 269, 901, 1106, 540, 519, 11532, 12211, 519, 6152, 1899, 7533, 936, 513, 2241, 267, 6806, 7077, 7455, 595, 547, 513, 5595, 7533, 936, 519, 3148, 20583, 676, 595, 269, 7756, 3871, 1289, 585, 1114, 5686, 540, 2792, 2853, 269, 8191, 281, 29871, 700, 583, 14567, 3832, 269, 1703, 616, 513, 7008, 540, 2027, 2010, 540, 1318, 12730, 267, 899, 519, 476, 3393, 4113, 268, 3393, 4113, 1318, 12730, 543, 519, 476, 1789, 4113, 268, 2568, 4113, 1318, 6906, 269, 476, 277, 19449, 3380, 2433, 20211, 23463, 932, 867, 543, 8953, 5376, 916, 281, 589, 6602, 2534, 547, 948, 1053, 5431, 519, 3270, 609, 519, 22334, 267, 9095, 338, 267, 543, 2234, 4512, 540, 513, 5858, 269, 3568, 16977, 25481, 540, 10580, 689, 25965, 267, 543, 10945, 689, 10580, 267, 799, 2285, 606, 19406, 540, 815, 476, 1839, 270, 279, 815, 476, 274, 269, 476, 279, 476, 1556, 476, 1691, 476, 275, 476, 275, 476, 1556, 722, 499, 476, 275, 815, 476, 278, 769, 513, 2147, 6073, 267, 649, 666, 5173, 519, 3259, 540, 519, 824, 7508, 2427, 1210, 476, 1691, 6629, 279, 284, 277, 269, 17781, 14497, 476, 275, 910, 20676, 545, 21408, 10561, 269, 17781, 5376, 916, 910, 14451, 19449, 3380, 723, 1114, 5086, 3601, 4330, 676, 1114, 5858, 5376, 916, 269, 744, 568, 519, 8998, 540, 519, 5858, 269, 634, 7300, 3568, 1312, 2475, 543, 5177, 12411, 687, 540, 519, 19297, 269, 3962, 5858, 11532, 814, 606, 2404, 6169, 538, 519, 3606, 2200, 3296, 269, 9732, 476, 278, 7179, 713, 2985, 269, 634, 3169, 18592, 540, 519, 5858, 568, 30285, 769, 519, 4137, 267, 519, 1899, 10126, 9474, 18953, 519, 18592, 540, 519, 269, 4518, 856, 519, 2450, 540, 519, 5086, 6825, 1535, 269, 634, 4856, 321, 9116, 4118, 338, 6657, 5999, 593, 17781, 11933, 916, 269, 634, 6516, 2982, 513, 5858, 267, 8998, 744, 269, 1403, 596, 917, 519, 3259, 540, 1079, 5011, 543, 606, 5086, 824, 982, 519, 5086, 1063, 1346, 5011, 267, 1287, 519, 4521, 540, 590, 1149, 666, 581, 1031, 269, 1677, 5173, 1022, 5086, 267, 589, 267, 645, 610, 595, 267, 4283, 476, 274, 2427, 13080, 513, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3451, 912, 825, 1820, 2891, 279, 270, 3451, 815, 476, 271, 269, 26237, 275, 2190, 26237, 275, 2190, 26237, 275, 2190, 26237, 275, 2190, 26237, 275, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4097, 912, 825, 1820, 2891, 279, 270, 4097, 815, 476, 271, 269, 20720, 29848, 14056, 5038, 278, 4962, 279, 279, 2537, 276, 3066, 30329, 278, 5038, 278, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3374, 912, 825, 1820, 2891, 279, 270, 3374, 815, 476, 271, 269, 25248, 6872, 272, 275, 2764, 6872, 272, 275, 2764, 6872, 272, 275, 2764, 6872, 272, 275, 2764, 277, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3607, 912, 825, 1820, 2891, 279, 270, 3607, 815, 476, 271, 269, 19442, 19442, 19442, 19442, 19442, 19442, 19442, 19442, 19442, 273, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4391, 912, 825, 1820, 2891, 279, 270, 4391, 815, 476, 271, 269, 21327, 21327, 21327, 21327, 21327, 21327, 21327, 21327, 21327, 273, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4343, 912, 825, 1820, 2891, 279, 270, 4343, 815, 476, 271, 269, 13975, 276, 2918, 25628, 4281, 280, 5325, 274, 6924, 275, 13975, 276, 2918, 25628, 279, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4375, 912, 825, 1820, 2891, 279, 270, 4375, 815, 476, 271, 269, 13078, 12553, 13078, 12553, 13078, 12553, 13078, 12553, 13078, 272, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2412, 912, 825, 1820, 2891, 279, 270, 2412, 815, 476, 271, 269, 273, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6078, 912, 825, 1820, 2891, 279, 270, 6078, 815, 476, 271, 269, 4198, 13199, 4817, 272, 25546, 24423, 4198, 13199, 4817, 272, 25546, 276, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 5655, 912, 825, 1820, 2891, 279, 270, 5655, 815, 476, 271, 269, 5002, 5325, 277, 5002, 5325, 277, 5002, 5325, 277, 5002, 5325, 277, 5002, 276, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6246, 912, 825, 1820, 2891, 279, 270, 6246, 815, 476, 271, 269, 5908, 271, 5379, 276, 1556, 277, 2767, 3445, 277, 9032, 277, 278, 4510, 5908, 271, 5379, 276, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4510, 912, 825, 1820, 2891, 279, 270, 4510, 815, 476, 271, 269, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3393, 912, 825, 1820, 2891, 279, 270, 3393, 815, 476, 271, 269, 10082, 6507, 278, 6507, 278, 6507, 278, 6507, 278, 6507, 278, 6507, 278, 6507, 278, 6507, 278, 279, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 5379, 912, 825, 1820, 2891, 279, 270, 5379, 815, 476, 271, 269, 15876, 280, 1724, 271, 6246, 275, 4281, 18605, 279, 7597, 276, 4792, 24241, 4375, 272, 274, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 5325, 912, 825, 1820, 2891, 279, 270, 5325, 815, 476, 271, 269, 10204, 18891, 278, 4792, 4817, 278, 4510, 277, 3199, 279, 27944, 277, 4343, 29574, 280, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4366, 912, 825, 1820, 2891, 279, 270, 4366, 815, 476, 271, 269, 14917, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 278, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 5392, 912, 825, 1820, 2891, 279, 270, 5392, 815, 476, 271, 269, 14321, 25228, 27420, 14338, 275, 4366, 280, 8064, 6795, 272, 279, 3607, 278, 4097, 278, 5602, 604, 1003, 272, 2652, 476, 279, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2004, 912, 825, 1820, 2891, 279, 270, 2004, 815, 476, 271, 269, 1626, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 271, 912, 825, 1820, 2891, 280, 270, 271, 815, 5606, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 272, 912, 825, 1820, 2891, 280, 270, 272, 815, 476, 280, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 273, 912, 825, 1820, 2891, 280, 270, 273, 815, 476, 275, 269, 276, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 274, 912, 825, 1820, 2891, 280, 270, 274, 815, 476, 274, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 275, 912, 825, 1820, 2891, 280, 270, 275, 815, 476, 273, 269, 1839, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 276, 912, 825, 1820, 2891, 280, 270, 276, 815, 476, 272, 269, 279, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 277, 912, 825, 1820, 2891, 280, 270, 277, 815, 476, 272, 269, 276, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 278, 912, 825, 1820, 2891, 280, 270, 278, 815, 476, 272, 269, 26326, 278, 1691, 26326, 278, 1691, 26326, 278, 1691, 26326, 278, 1691, 30525, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 912, 825, 1820, 2891, 280, 270, 279, 815, 476, 272, 269, 10219, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 280, 912, 825, 1820, 2891, 280, 270, 280, 815, 476, 272, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1015, 912, 825, 1820, 2891, 280, 270, 1015, 815, 476, 271, 269, 280, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1556, 912, 825, 1820, 2891, 280, 270, 1556, 815, 476, 271, 269, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 273, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1321, 912, 825, 1820, 2891, 280, 270, 1321, 815, 476, 271, 269, 4037, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1724, 912, 825, 1820, 2891, 280, 270, 1724, 815, 476, 271, 269, 7597, 273, 28906, 7597, 273, 28906, 7597, 273, 28906, 7597, 273, 28906, 7597, 273, 274, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1691, 912, 825, 1820, 2891, 280, 270, 1691, 815, 476, 271, 269, 5038, 273, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 16318, 280, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1428, 912, 825, 1820, 2891, 280, 270, 1428, 815, 476, 271, 269, 277, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1626, 912, 825, 1820, 2891, 280, 270, 1626, 815, 476, 271, 269, 6321, 273, 276, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1704, 912, 825, 1820, 2891, 280, 270, 1704, 815, 476, 271, 269, 276, 3066, 30329, 278, 5038, 3583, 276, 6434, 273, 31134, 280, 6078, 12293, 30420, 277, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1240, 912, 825, 1820, 2891, 280, 270, 1240, 815, 476, 271, 269, 276, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 866, 912, 825, 1820, 2891, 280, 270, 866, 815, 476, 271, 269, 5325, 274, 6924, 275, 13975, 276, 2918, 25628, 4281, 280, 5325, 274, 6924, 275, 13975, 276, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 736, 912, 825, 1820, 2891, 280, 270, 736, 815, 476, 271, 269, 3393, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2641, 912, 825, 1820, 2891, 280, 270, 2641, 815, 476, 271, 269, 275, 2764, 6872, 272, 275, 2764, 6872, 272, 275, 2764, 6872, 272, 275, 2764, 6872, 272, 275, 2764, 277, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2420, 912, 825, 1820, 2891, 280, 270, 2420, 815, 476, 271, 269, 30156, 271, 3445, 3445, 280, 271, 3445, 3445, 280, 271, 3445, 3445, 280, 271, 3445, 3445, 280, 272, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2537, 912, 825, 1820, 2891, 280, 270, 2537, 815, 476, 271, 269, 4375, 272, 19054, 31003, 279, 2918, 5400, 277, 4817, 277, 276, 2641, 278, 4375, 9873, 275, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2190, 912, 825, 1820, 2891, 280, 270, 2190, 815, 476, 271, 269, 23841, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1839, 912, 825, 1820, 2891, 280, 270, 1839, 815, 476, 271, 269, 3607, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2918, 912, 825, 1820, 2891, 280, 270, 2918, 815, 476, 271, 269, 31798, 14631, 279, 5379, 14631, 279, 5379, 14631, 279, 5379, 14631, 279, 5379, 273, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2767, 912, 825, 1820, 2891, 280, 270, 2767, 815, 476, 271, 269, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 274, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 2764, 912, 825, 1820, 2891, 280, 270, 2764, 815, 476, 271, 269, 25834, 275, 2764, 6872, 272, 275, 2764, 6872, 272, 275, 2764, 6872, 272, 275, 2764, 6872, 272, 275, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3066, 912, 825, 1820, 2891, 280, 270, 3066, 815, 476, 271, 269, 20542, 30306, 279, 2767, 6812, 277, 18684, 8660, 277, 4649, 272, 278, 2190, 15389, 280, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1789, 912, 825, 1820, 2891, 280, 270, 1789, 815, 476, 271, 269, 274, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4029, 912, 825, 1820, 2891, 280, 270, 4029, 815, 476, 271, 269, 23310, 27088, 276, 3199, 277, 3393, 14065, 23310, 27088, 276, 3199, 277, 3393, 273, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3953, 912, 825, 1820, 2891, 280, 270, 3953, 815, 476, 271, 269, 27005, 1839, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3451, 912, 825, 1820, 2891, 280, 270, 3451, 815, 476, 271, 269, 26604, 278, 2767, 26604, 278, 2767, 26604, 278, 2767, 26604, 278, 2767, 26604, 278, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4097, 912, 825, 1820, 2891, 280, 270, 4097, 815, 476, 271, 269, 25784, 3583, 276, 6434, 273, 31134, 280, 6078, 12293, 30420, 276, 6434, 20720, 274, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3374, 912, 825, 1820, 2891, 280, 270, 3374, 815, 476, 271, 269, 27038, 16318, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 272, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 3607, 912, 825, 1820, 2891, 280, 270, 3607, 815, 476, 271, 269, 1839, 5602, 604, 1003, 272, 2652, 476, 280, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4391, 912, 825, 1820, 2891, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31148, 585, 519, 7952, 267, 543, 7900, 1612, 778, 5024, 676, 682, 12686, 883, 519, 2011, 689, 513, 4463, 540, 827, 476, 17168, 271, 3952, 563, 6942, 280, 281, 3703, 4341, 538, 3127, 27861, 1101, 6822, 819, 2013, 1996, 5178, 644, 5271, 7195, 342, 656, 1912, 611, 651, 540, 26527, 30773, 563, 5002, 271, 281, 17510, 540, 12891, 17304, 336, 772, 12848, 16679, 267, 835, 540, 519, 1034, 12703, 4838, 2456, 538, 519, 4095, 5191, 6560, 563, 3422, 274, 281, 3127, 779, 4102, 6687, 17123, 5757, 14860, 1788, 2048, 289, 327, 31518, 715, 836, 531, 685, 729, 6131, 547, 519, 4182, 563, 3422, 277, 281, 6723, 29965, 267, 835, 540, 6628, 779, 1034, 29200, 5595, 8069, 267, 23012, 689, 7890, 538, 513, 29412, 6073, 269, 898, 568, 5156, 602, 519, 8168, 5742, 9709, 547, 9101, 689, 1010, 7890, 563, 1220, 279, 281, 3127, 31782, 922, 1101, 30313, 2740, 16264, 5692, 543, 6707, 31782, 25941, 2001, 22528, 268, 272, 689, 519, 9045, 880, 20144, 1177, 534, 6611, 4741, 563, 1001, 271, 281, 26264, 8867, 6545, 2306, 5215, 540, 14804, 2475, 6054, 1644, 547, 519, 12925, 543, 15787, 2112, 1857, 269, 630, 288, 11765, 264, 0, 1805, 11691, 15822, 543, 13245, 538, 3427, 454, 26542, 268, 866, 6669, 568, 2139, 17676, 585, 782, 16855, 7264, 6502, 476, 276, 543, 4587, 269, 26172, 6500, 543, 7073, 320, 10074, 2154, 1079, 15833, 693, 2547, 1614, 4374, 6306, 269, 634, 6669, 10301, 5021, 7145, 1079, 4374, 1310, 519, 2034, 8929, 563, 28716, 519, 6660, 342, 879, 27365, 2657, 4972, 5046, 268, 866, 28404, 2546, 585, 811, 1344, 269, 2657, 6142, 543, 8446, 616, 711, 2877, 269, 11910, 519, 3905, 1467, 693, 630, 29300, 264, 476, 30525, 268, 27151, 271, 585, 2055, 267, 547, 8430, 606, 13393, 610, 1753, 3643, 267, 610, 547, 3717, 609, 513, 12016, 563, 293, 7056, 625, 1058, 5781, 2689, 543, 9337, 1453, 779, 10074, 899, 27330, 267, 544, 7927, 267, 543, 29887, 269, 13555, 707, 1072, 1416, 8502, 610, 519, 6660, 342, 879, 27365, 2657, 4972, 563, 300, 4916, 568, 10283, 538, 519, 16855, 4972, 540, 2657, 7896, 918, 1700, 1321, 5046, 268, 866, 4152, 454, 32491, 269, 634, 8664, 786, 2709, 513, 2978, 2861, 19738, 1449, 547, 1053, 543, 5234, 945, 8858, 5046, 268, 866, 2589, 693, 1153, 269, 11814, 532, 513, 19494, 585, 4152, 3322, 29780, 513, 1507, 2220, 629, 883, 1312, 19911, 337, 2812, 269, 13281, 568, 17319, 543, 786, 1491, 1747, 1152, 609, 2854, 9844, 689, 513, 2385, 270, 31384, 1014, 563, 300, 4916, 949, 2932, 17319, 4152, 540, 1053, 543, 5234, 269, 8307, 1053, 543, 5234, 945, 723, 454, 338, 11220, 9844, 3029, 593, 3758, 786, 581, 7318, 563, 1103, 519, 2680, 540, 513, 16143, 543, 5924, 9672, 12176, 267, 631, 4916, 786, 12840, 609, 519, 6660, 342, 879, 27365, 454, 10890, 4972, 585, 15360, 267, 7634, 543, 5583, 267, 543, 2009, 4152, 563, 293, 7056, 625, 666, 4647, 519, 5046, 268, 866, 1153, 2861, 4152, 9844, 1106, 2630, 543, 2132, 621, 547, 741, 3506, 563, 288, 32106, 1923, 8738, 332, 3150, 1923, 2296, 1923, 674, 1513, 328, 1923, 670, 332, 784, 1923, 27239, 1923, 623, 1662, 1729, 1923, 30323, 532, 5984, 11406, 306, 558, 8932, 1923, 5053, 454, 3674, 519, 5046, 268, 866, 6669, 2922, 286, 1215, 1705, 621, 1831, 2139, 865, 3533, 286, 9701, 1250, 1920, 1205, 18764, 286, 4855, 4267, 547, 891, 2055, 689, 519, 15544, 585, 8376, 6513, 543, 10644, 593, 519, 11588, 540, 15775, 513, 5046, 268, 866, 28404, 2546, 269, 4746, 1451, 827, 5046, 268, 866, 17261, 1149, 585, 5753, 543, 1855, 839, 543, 519, 2956, 540, 10074, 538, 16069, 519, 3262, 540, 5046, 563, 26542, 268, 866, 5170, 547, 1689, 938, 1158, 538, 6397, 2081, 269, 7991, 25635, 919, 814, 513, 15682, 540, 3584, 1519, 1648, 6351, 267, 1453, 779, 5752, 267, 8027, 267, 543, 811, 585, 3885, 945, 991, 1489, 610, 723, 1044, 12936, 676, 5046, 268, 866, 563, 5970, 596, 1044, 6534, 547, 5046, 268, 866, 630, 528, 7318, 2318, 264, 543, 4898, 875, 547, 2995, 707, 17066, 286, 901, 5363, 8038, 518, 689, 519, 4975, 540, 6660, 342, 879, 27365, 2657, 4972, 3091, 4808, 585, 4687, 1344, 609, 2828, 267, 1920, 267, 543, 1071, 22086, 619, 563, 763, 16855, 4972, 540, 2657, 7896, 630, 291, 9391, 264, 814, 5423, 1896, 8038, 619, 547, 12172, 10072, 543, 31741, 5773, 269, 4107, 12326, 7396, 2630, 616, 2139, 538, 2789, 4654, 563, 16966, 891, 10274, 547, 3251, 909, 547, 4266, 543, 948, 1832, 707, 1920, 2922, 563, 2026, 4411, 543, 2770, 4005, 4485, 543, 5046, 268, 866, 3788, 267, 1739, 2635, 2853, 547, 2057, 4742, 7210, 563, 268, 23203, 513, 3068, 9633, 538, 1857, 267, 1256, 952, 596, 616, 18764, 563, 268, 19321, 476, 274, 3952, 540, 2168, 3845, 563, 268, 25169, 3946, 4749, 267, 2523, 950, 13059, 1753, 563, 268, 5192, 519, 2770, 8929, 543, 5046, 268, 866, 6669, 952, 596, 616, 14718, 563, 13425, 707, 1126, 1169, 6640, 585, 4191, 540, 4576, 269, 5901, 873, 1753, 952, 2589, 616, 1459, 267, 543, 3346, 513, 1072, 1416, 8502, 547, 2307, 827, 4152, 563, 24535, 540, 519, 1739, 2589, 454, 268, 10374, 1145, 540, 7362, 7933, 858, 22187, 7244, 454, 268, 1715, 2530, 540, 6492, 610, 9329, 454, 307, 310, 302, 610, 811, 2589, 454, 268, 674, 1197, 540, 476, 1911, 269, 275, 4113, 674, 610, 1657, 454, 268, 590, 648, 11563, 454, 268, 26298, 610, 1560, 31191, 454, 268, 1715, 12614, 540, 15677, 454, 268, 5556, 3878, 610, 2196, 5500, 9224, 454, 268, 715, 13835, 610, 13481, 454, 12606, 5363, 4808, 585, 7210, 1453, 269, 0, 288, 22028, 568, 513, 10058, 1129, 610, 13525, 1031, 676, 606, 1367, 267, 1870, 3919, 267, 610, 824, 3656, 11769, 547, 2697, 602, 519, 2472, 610, 2533, 547, 6800, 609, 799, 519, 22028, 5526, 22132, 689, 513, 2189, 2707, 267, 543, 547, 10646, 922, 2472, 610, 2533, 689, 1346, 540, 824, 9988, 563, 288, 22028, 568, 3335, 513, 2012, 267, 2262, 267, 8360, 267, 20446, 267, 3090, 267, 1374, 267, 3239, 267, 610, 513, 4999, 540, 891, 2609, 269, 1703, 568, 849, 513, 2039, 540, 1875, 8410, 14846, 30931, 16030, 7436, 799, 798, 711, 2887, 883, 891, 3044, 6688, 267, 971, 607, 1346, 1759, 593, 2681, 267, 9329, 267, 610, 3280, 563, 307, 2784, 655, 10225, 538, 29069, 1731, 6017, 616, 11280, 676, 519, 1739, 6698, 912, 268, 21508, 351, 263, 1721, 606, 796, 2958, 626, 1229, 30931, 267, 602, 568, 267, 513, 1665, 1031, 547, 3895, 610, 6216, 5370, 994, 268, 2485, 362, 263, 1721, 513, 10805, 22028, 994, 763, 8227, 540, 519, 10805, 22028, 949, 30134, 3656, 18659, 1996, 22028, 26418, 618, 540, 922, 1665, 563, 347, 3725, 10589, 5604, 1475, 13233, 4741, 585, 4793, 757, 543, 6176, 2008, 14737, 3588, 540, 9483, 4886, 543, 11780, 540, 519, 6243, 540, 29069, 1731, 6017, 630, 301, 9573, 296, 994, 347, 301, 823, 8760, 1475, 8133, 630, 1556, 628, 7160, 10245, 347, 25648, 1362, 1062, 1475, 8133, 2008, 25238, 665, 3701, 2838, 585, 25937, 513, 4123, 1665, 3498, 1475, 15239, 268, 29729, 1242, 5295, 540, 30374, 2008, 347, 3682, 15582, 1184, 1475, 293, 4979, 6101, 543, 6086, 633, 6514, 630, 517, 3448, 543, 6207, 12406, 264, 14261, 25430, 2008, 347, 8802, 626, 1674, 2165, 1475, 1015, 1296, 689, 519, 4266, 540, 3498, 2008, 347, 30262, 1168, 531, 2165, 1475, 1015, 1296, 2008, 307, 2784, 655, 1046, 19707, 538, 29069, 1731, 6017, 454, 2005, 568, 19624, 547, 2932, 513, 22028, 3406, 1991, 547, 25937, 513, 22028, 3498, 547, 23754, 519, 8244, 540, 30931, 267, 6228, 540, 1991, 9838, 4882, 25630, 7436, 593, 519, 11578, 3092, 1421, 865, 607, 547, 2057, 1022, 1843, 542, 543, 11685, 609, 2463, 547, 519, 1665, 563, 288, 22028, 19707, 538, 29069, 1731, 6017, 666, 581, 5342, 585, 2262, 7436, 267, 3926, 7436, 267, 1003, 1968, 543, 10297, 269, 1323, 4013, 3406, 666, 581, 5342, 693, 519, 5638, 540, 519, 2817, 4741, 585, 4793, 757, 543, 6176, 630, 301, 9573, 296, 1916, 307, 2784, 655, 1046, 2262, 3406, 7160, 540, 29069, 1731, 6017, 5205, 519, 8799, 8760, 543, 22028, 3156, 666, 581, 19429, 585, 5370, 538, 5049, 476, 272, 268, 4097, 543, 2533, 538, 5049, 476, 3374, 268, 3393, 269, 570, 2784, 655, 1046, 19707, 538, 29069, 1731, 6017, 666, 581, 5342, 585, 519, 5551, 1362, 543, 2404, 1362, 563, 26589, 609, 22028, 3406, 267, 621, 568, 849, 19624, 547, 2932, 513, 3102, 2754, 3406, 543, 6389, 3406, 540, 519, 6069, 22028, 538, 29069, 1731, 6017, 563, 28319, 823, 1665, 610, 4453, 4851, 22028, 2882, 7436, 971, 607, 18935, 1242, 5022, 267, 27766, 267, 5546, 267, 2371, 267, 18477, 4703, 267, 2713, 7068, 3092, 269, 589, 3926, 1665, 3406, 666, 581, 5342, 538, 2463, 540, 5551, 5370, 543, 2533, 9991, 896, 5049, 476, 272, 268, 3393, 563, 288, 3926, 1665, 666, 581, 22646, 609, 519, 948, 540, 3486, 8760, 540, 27461, 2609, 540, 7436, 799, 1095, 32606, 21499, 9479, 585, 1114, 5515, 563, 293, 4979, 22028, 3156, 538, 29069, 1731, 6017, 454, 288, 1268, 949, 3758, 3818, 1362, 610, 2582, 1362, 22028, 3498, 538, 29069, 1731, 6017, 563, 307, 2784, 655, 1046, 3156, 538, 29069, 1731, 6017, 666, 581, 19429, 538, 1079, 6688, 912, 268, 18103, 2435, 3156, 454, 268, 13482, 3498, 630, 8010, 532, 10862, 689, 513, 15007, 2197, 994, 302, 6113, 2435, 22028, 3156, 538, 29069, 1731, 6017, 912, 302, 6113, 2435, 22028, 3156, 19429, 538, 29069, 1731, 6017, 616, 3156, 799, 616, 19429, 1510, 19101, 1022, 10862, 269, 18103, 2435, 3156, 616, 19429, 609, 519, 3084, 4099, 585, 24977, 543, 1344, 269, 634, 3498, 1106, 568, 2139, 593, 519, 4013, 3896, 540, 519, 1036, 3588, 538, 519, 22028, 543, 3028, 1665, 6241, 269, 634, 1106, 568, 2139, 585, 519, 23078, 607, 3498, 543, 7923, 6054, 269, 11638, 1362, 22028, 3156, 666, 581, 19429, 538, 29069, 1731, 6017, 269, 1717, 267, 519, 30931, 957, 849, 23933, 1524, 14074, 3823, 519, 25937, 540, 10862, 3156, 267, 13296, 10862, 540, 519, 1665, 666, 581, 10645, 538, 519, 1767, 1665, 19429, 538, 513, 15007, 2197, 563, 26212, 640, 270, 935, 3685, 22028, 3156, 538, 29069, 1731, 6017, 912, 288, 10862, 22028, 3498, 1058, 581, 19429, 538, 29069, 1731, 6017, 1369, 476, 277, 3275, 1310, 519, 4266, 593, 799, 519, 3498, 729, 1500, 538, 519, 15007, 2197, 563, 763, 8303, 13482, 585, 519, 4027, 540, 11633, 16296, 267, 9896, 538, 8303, 267, 5333, 267, 593, 4728, 476, 736, 267, 476, 2735, 274, 267, 3964, 513, 9769, 585, 519, 4027, 540, 4853, 3959, 269, 898, 3091, 3084, 2126, 547, 519, 32358, 23493, 538, 519, 4759, 2197, 540, 519, 9769, 267, 538, 824, 1913, 269, 2817, 2126, 568, 513, 1360, 1271, 1523, 543, 568, 1898, 585, 6707, 8236, 519, 4909, 2832, 593, 519, 8303, 15007, 269, 634, 2856, 568, 547, 1683, 3160, 2126, 547, 3156, 689, 4759, 2477, 267, 538, 513, 2016, 4759, 2197, 543, 711, 547, 16174, 1063, 519, 4182, 1023, 540, 4759, 2477, 585, 519, 3483, 540, 9886, 267, 543, 4027, 540, 4853, 3959, 269, 13405, 640, 3498, 666, 581, 19429, 538, 29069, 1731, 6017, 1369, 476, 277, 3275, 540, 1310, 519, 4266, 593, 799, 519, 3498, 729, 1500, 538, 519, 15007, 2477, 563, 307, 2784, 655, 1046, 5049, 585, 5370, 543, 2533, 538, 29069, 1731, 6017, 454, 307, 1690, 1731, 6017, 5205, 519, 3486, 8760, 540, 5370, 543, 2533, 269, 634, 715, 823, 19032, 5161, 540, 513, 1592, 540, 5049, 543, 606, 9904, 673, 1592, 540, 5370, 543, 2533, 269, 1703, 616, 476, 4097, 5049, 540, 5370, 543, 476, 1556, 5049, 540, 2533, 689, 5049, 476, 272, 547, 476, 3393, 563, 307, 2784, 655, 1046, 6514, 538, 29069, 1731, 6017, 454, 5629, 519, 3498, 585, 519, 14261, 568, 11643, 267, 519, 14664, 5604, 786, 4983, 519, 3498, 269, 634, 14664, 5604, 786, 4983, 519, 3498, 543, 4927, 17663, 540, 6101, 543, 6086, 633, 6514, 630, 7758, 894, 543, 6207, 12406, 1916, 7628, 519, 6514, 519, 14664, 5604, 786, 7662, 519, 32358, 547, 1683, 24045, 2326, 267, 519, 9000, 540, 799, 786, 1118, 519, 6514, 7543, 563, 763, 32358, 1590, 10505, 519, 16761, 2326, 1369, 1079, 3275, 689, 519, 4266, 540, 2256, 18967, 540, 971, 7662, 676, 519, 32358, 269, 1403, 519, 32358, 14543, 547, 1683, 24045, 2326, 1369, 519, 1767, 942, 1974, 610, 14543, 547, 7662, 585, 519, 10137, 540, 942, 1974, 267, 519, 3498, 585, 14261, 786 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10531, 2833, 5397, 3747, 585, 2688, 14184, 3681, 269, 4858, 2738, 899, 16299, 8657, 781, 8597, 547, 713, 991, 998, 3309, 10366, 543, 11183, 5079, 267, 7175, 6800, 547, 2824, 11945, 7423, 14726, 12805, 741, 7375, 780, 309, 269, 7454, 13756, 585, 5029, 1944, 11197, 19643, 1369, 513, 7305, 17553, 692, 11693, 922, 2189, 11007, 543, 6165, 267, 2027, 3007, 1058, 581, 6976, 950, 10128, 11945, 7423, 883, 513, 3349, 11768, 269, 7427, 891, 3268, 547, 11126, 6881, 543, 10626, 1384, 288, 269, 7994, 606, 30785, 26751, 1088, 910, 8564, 513, 8708, 602, 1264, 906, 707, 6249, 2943, 2488, 6190, 2230, 585, 7674, 269, 22453, 2173, 1926, 30660, 13686, 11617, 13267, 6106, 1247, 13719, 26633, 7520, 1085, 334, 14563, 269, 1403, 1210, 1367, 13980, 267, 1904, 585, 20538, 17428, 610, 986, 1889, 9469, 780, 289, 269, 3038, 1707, 2672, 2310, 24619, 619, 910, 20644, 6131, 10825, 2645, 7258, 519, 11945, 7423, 269, 8381, 523, 22883, 10358, 267, 30736, 16150, 619, 267, 610, 7423, 31009, 960, 3927, 4470, 593, 5551, 9403, 543, 27194, 2157, 780, 290, 269, 7309, 1227, 9255, 519, 11197, 19643, 910, 19024, 519, 11945, 7423, 1369, 3914, 540, 782, 7188, 619, 267, 23679, 2673, 547, 3119, 10824, 610, 3838, 3694, 30504, 269, 1325, 793, 621, 31344, 958, 2059, 519, 3259, 540, 519, 3349, 585, 7059, 15287, 780, 291, 269, 3213, 15453, 853, 2643, 12264, 910, 26969, 519, 11945, 7423, 6077, 543, 3262, 619, 609, 4540, 6366, 2264, 610, 4196, 2264, 269, 3117, 11962, 1374, 2609, 7794, 3308, 25843, 780, 9654, 269, 10390, 692, 8139, 519, 3140, 4282, 267, 4052, 6286, 267, 12716, 3344, 267, 543, 2686, 11029, 2906, 4478, 6366, 2264, 3919, 6087, 5483, 3375, 6194, 269, 1635, 7311, 1655, 2853, 3358, 547, 1808, 7653, 267, 971, 607, 6220, 11945, 7423, 883, 513, 3349, 4259, 267, 2043, 666, 21592, 1312, 6198, 4398, 543, 2283, 3645, 18399, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7343, 548, 7423, 12090, 538, 2342, 1282, 519, 5664, 12698, 269, 2755, 519, 2262, 968, 8117, 614, 892, 5526, 538, 922, 2012, 267, 621, 3568, 1100, 7423, 2147, 547, 875, 24113, 7423, 814, 1100, 4890, 10683, 7423, 538, 621, 269, 898, 779, 2731, 1175, 13671, 13212, 879, 576, 602, 568, 3335, 1500, 609, 11273, 13212, 267, 4006, 267, 543, 14546, 269, 634, 13212, 616, 11273, 2394, 1286, 14712, 1436, 4386, 563, 29445, 569, 267, 972, 616, 513, 9522, 540, 11945, 7423, 12478, 269, 18320, 1082, 547, 3382, 782, 540, 873, 1934, 1510, 2469, 936, 4580, 609, 1344, 269, 1717, 267, 1934, 616, 930, 540, 519, 811, 2442, 11945, 7423, 12478, 602, 1419, 616, 2653, 547, 1265, 2228, 610, 693, 17365, 8637, 563, 6826, 3222, 602, 649, 4309, 513, 1507, 10243, 952, 596, 6718, 1022, 11945, 7423, 1587, 689, 519, 8835, 6402, 2630, 563, 24154, 2738, 540, 11197, 19643, 454, 291, 1157, 8657, 779, 568, 513, 6216, 540, 575, 712, 5471, 795, 4461, 602, 2968, 513, 851, 540, 3911, 27462, 779, 538, 476, 3192, 280, 269, 898, 12090, 538, 519, 3735, 476, 5197, 271, 338, 538, 519, 4024, 600, 8291, 9503, 267, 14822, 269, 1703, 267, 9835, 2742, 16299, 8657, 729, 513, 2182, 11529, 32529, 945, 8057, 5613, 547, 1711, 8949, 28933, 269, 4173, 2828, 543, 1920, 5280, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14503, 520, 2264, 9257, 257, 607, 851, 540, 834, 23733, 1315, 23959, 23293, 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, 834, 32207, 894, 11724, 1049, 15753, 3311, 540, 27252, 3502, 566, 281, 1323, 16709, 540, 12634, 21126, 5016, 20082, 281, 901, 1957, 9691, 12116, 519, 12497, 24598, 25751, 540, 8918, 10035, 1369, 519, 6626, 5943, 540, 25948, 6041, 267, 2519, 4481, 593, 519, 15410, 540, 17447, 607, 513, 1797, 540, 11589, 8454, 609, 32159, 602, 616, 7060, 540, 4557, 269, 1635, 18167, 883, 519, 6946, 16082, 540, 713, 10230, 1062, 267, 649, 29954, 790, 547, 30881, 519, 24099, 6286, 7915, 538, 922, 6044, 1247, 2502, 609, 4207, 1382, 11407, 4478, 6099, 4485, 547, 3450, 543, 1565, 17447, 780, 7072, 1384, 1103, 519, 7706, 540, 10026, 7223, 267, 17447, 19582, 513, 2189, 2990, 607, 789, 4196, 607, 513, 2629, 8115, 1063, 2898, 2338, 543, 811, 1950, 27847, 11269, 630, 289, 749, 1299, 13643, 267, 476, 1708, 274, 1040, 1306, 971, 267, 1620, 875, 1655, 547, 6655, 741, 5817, 3889, 543, 10512, 3601, 568, 14063, 585, 2500, 6128, 2069, 269, 6736, 741, 9583, 25229, 21747, 2470, 267, 17447, 1825, 513, 3638, 7811, 5251, 267, 835, 556, 10968, 609, 11029, 21441, 543, 1761, 25354, 585, 7938, 9231, 6267, 269, 9182, 267, 938, 1445, 10593, 2509, 1011, 21899, 891, 14960, 998, 11826, 2079, 543, 10282, 540, 22317, 3332, 780, 4089, 594, 281, 25043, 540, 27252, 23830, 692, 4263, 922, 4295, 267, 8918, 10035, 740, 12742, 547, 513, 2990, 531, 1062, 1141, 1142, 7857, 17648, 513, 1808, 2597, 5462, 676, 922, 4087, 3448, 547, 519, 8918, 1448, 630, 29834, 1299, 25538, 1676, 267, 476, 1708, 275, 1040, 14301, 2390, 9255, 268, 19368, 7869, 267, 799, 29102, 602, 1367, 9704, 17589, 2495, 689, 1312, 741, 1378, 1871, 543, 741, 3448, 2990, 1369, 513, 1297, 267, 649, 666, 2253, 547, 19586, 519, 5817, 7954, 12044, 8918, 6041, 630, 307, 25950, 1299, 674, 27688, 2041, 514, 267, 476, 2735, 278, 1040, 1717, 267, 621, 568, 1898, 547, 5431, 602, 713, 7805, 16134, 1517, 625, 4514, 10848, 267, 3226, 950, 6236, 519, 2078, 1063, 17447, 543, 824, 7787, 1297, 11269, 780, 4089, 4083, 281, 31353, 1471, 268, 14504, 23724, 17773, 692, 288, 1713, 2460, 540, 8918, 8223, 6013, 538, 9301, 741, 30424, 547, 1978, 8454, 267, 16113, 1346, 609, 32159, 3160, 547, 7060, 540, 4557, 630, 299, 21983, 1299, 8092, 879, 267, 476, 2735, 274, 1040, 2755, 21603, 569, 3551, 267, 713, 4276, 1419, 18327, 4101, 585, 1053, 1813, 547, 20887, 4478, 519, 1909, 540, 1747, 1871, 543, 519, 1599, 540, 519, 8918, 1448, 630, 4910, 333, 1157, 1299, 16110, 267, 476, 2735, 272, 1040, 11569, 267, 31607, 1382, 814, 7152, 602, 6267, 4749, 6560, 547, 31363, 519, 15768, 543, 6024, 3344, 540, 8918, 543, 27847, 11269, 267, 3056, 547, 10770, 7965, 538, 1966, 6061, 543, 3498, 4247, 630, 295, 773, 6975, 1696, 620, 1421, 476, 1960, 277, 282, 966, 1120, 3534, 644, 267, 476, 272, 0, 8620, 606, 1349, 540, 513, 3621, 4760, 2376, 585, 1412, 292, 11915, 10789, 476, 273, 324, 3299, 3358, 585, 4648, 543, 3173, 593, 519, 1888, 563, 2171, 616, 1603, 593, 3184, 1412, 28062, 725, 8339, 769, 1880, 267, 3296, 1412, 13356, 7769, 8339, 3503, 513, 1007, 1770, 11331, 1412, 11243, 543, 3503, 31353, 8339, 3371, 781, 930, 1257, 585, 6667, 281, 2878, 13356, 7769, 1262, 616, 1776, 1259, 540, 1603, 8454, 4171, 32159, 616, 7060, 540, 476, 1015, 780, 763, 2511, 1058, 11604, 602, 540, 513, 14046, 8313, 267, 711, 1153, 9499, 267, 17935, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 269, 8347, 547, 1384, 268, 10558, 4359, 6436, 267, 1210, 2930, 543, 4081, 1893, 563, 268, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 267, 609, 513, 2143, 6514, 540, 12170, 1239, 543, 8579, 16097, 563, 268, 634, 2376, 1058, 2992, 519, 3178, 543, 6988, 540, 1543, 1336, 538, 1283, 2389, 1512, 9297, 13746, 267, 5497, 585, 513, 3988, 1222, 7184, 31737, 538, 519, 2361, 563, 268, 1684, 711, 1039, 2097, 909, 609, 8100, 610, 1039, 873, 693, 519, 1439, 540, 519, 2376, 269, 1403, 972, 616, 6310, 7215, 946, 513, 2953, 17623, 311, 11249, 543, 798, 711, 946, 2592, 269, 0, 2878, 16215, 476, 277, 281, 14958, 532, 3281, 2454, 25767, 585, 7464, 24529, 281, 30855, 27884, 543, 10369, 12367, 4373, 1103, 2221, 781, 8013, 1483, 10040, 5251, 267, 13167, 10388, 5299, 602, 22587, 547, 9520, 267, 18046, 267, 543, 4557, 1218, 7567, 568, 1898, 269, 901, 3184, 786, 5490, 883, 519, 1148, 540, 1603, 9159, 1483, 10040, 5299, 676, 6313, 2013, 2090, 267, 3811, 6725, 11044, 267, 543, 4274, 4030, 269, 1284, 786, 2263, 875, 6220, 9423, 2553, 543, 9363, 32448, 540, 2344, 3466, 666, 3648, 3986, 707, 20261, 4640, 780, 1262, 4089, 476, 272, 281, 8490, 16508, 22627, 998, 27884, 4373, 19931, 5299, 8586, 3884, 1405, 8806, 827, 17609, 2934, 282, 621, 781, 827, 2870, 3929, 4296, 1063, 519, 5304, 543, 519, 3959, 269, 2290, 1259, 547, 3035, 713, 4276, 568, 998, 9423, 269, 1635, 4687, 6386, 10704, 1472, 2189, 3344, 540, 513, 1788, 267, 596, 666, 1711, 2502, 1543, 602, 24889, 609, 3988, 269, 6333, 891, 2609, 950, 14335, 2984, 585, 707, 1483, 10040, 5299, 1384, 265, 10576, 1883, 9513, 2798, 281, 14419, 1018, 2306, 707, 1788, 1796, 856, 28934, 621, 4087, 267, 1374, 267, 6940, 7341, 286, 4495, 4857, 267, 946, 891, 2609, 607, 12979, 832, 585, 707, 2239, 563, 265, 8073, 11541, 3197, 281, 5274, 1125, 707, 1650, 676, 10023, 2043, 945, 18220, 519, 9759, 540, 707, 3077, 15295, 269, 14674, 741, 17050, 267, 2591, 267, 543, 29217, 1369, 519, 2796, 540, 707, 3959, 563, 265, 3763, 4655, 543, 6571, 281, 12706, 8082, 4478, 9465, 5185, 1282, 1646, 610, 22058, 566, 3157, 269, 3973, 267, 7866, 875, 1346, 23665, 941, 7753, 267, 15386, 6043, 543, 27265, 780, 7078, 281, 769, 938, 6679, 642, 793, 8291, 267, 16823, 10584, 21142, 27119, 17754, 29993, 8843, 1010, 1967, 1166, 6235, 5321, 543, 13321, 4853, 3601, 883, 8465, 5624, 269, 1677, 31194, 593, 713, 10578, 4282, 267, 7406, 1010, 3460, 607, 5205, 1384, 7072, 281, 20821, 21142, 27119, 17754, 29993, 267, 513, 5075, 776, 1483, 10040, 20090, 609, 606, 4608, 15967, 2702, 547, 5544, 2150, 11474, 1761, 538, 3309, 6990, 269, 3245, 18803, 20297, 267, 646, 4378, 539, 1010, 1983, 10188, 1950, 8852, 543, 7244, 1007, 1272, 883, 16618, 21889, 269, 4653, 267, 6443, 721, 607, 649, 10625, 519, 11580, 3297, 1010, 9058, 10781, 780, 18183, 12787, 281, 6736, 2038, 22303, 267, 1519, 25949, 689, 9905, 543, 2883, 10148, 267, 21142, 7283, 32344, 538, 13197, 1010, 9909, 269, 3414, 27497, 543, 8990, 267, 646, 3459, 993, 23035, 513, 14769, 17364, 8370, 2829, 780, 4910, 1828, 281, 16258, 4464, 547, 1459, 1554, 267, 1141, 21142, 1631, 27490, 21650, 3818, 2173, 11669, 13362, 3785, 1247, 4509, 1010, 7029, 547, 12419, 11108, 1871, 585, 7218, 269, 2060, 3875, 934, 565, 3547, 896, 1010, 12966, 267, 1519, 23079, 593, 670, 28566, 309, 267, 972, 781, 1100, 27102, 602, 21142, 781, 1935, 25186, 2757, 1483, 10040, 8155, 780, 1262, 4089, 476, 273, 281, 11154, 532, 547, 5345, 6295, 29714, 543, 24021, 12367, 4373, 1805, 11691, 5483, 827, 24567, 3466, 2636, 596, 547, 18783, 6075, 7569, 543, 20688, 707, 5299, 9935, 269, 2368, 8037, 10593, 4867, 5935, 519, 1483, 10040, 5823, 1331, 1384, 265, 3115, 584, 19397, 4853, 5624, 281, 20593, 1154, 28572, 16292, 17346, 543, 15327, 883, 2413, 13646, 267, 1071, 268, 11529, 5624, 267, 610, 1256, 10821, 3138, 30835, 3091, 1713, 7443, 19114, 1813, 547, 2539, 11601, 3790, 543, 7915, 1915, 269, 31209, 971, 2640, 950, 12334, 532, 9927, 4853, 3601, 563, 265, 15232, 12454, 10685, 281, 645, 4459, 7146, 2173, 677, 541, 8637, 616, 5051, 2519, 593, 23913, 3334, 547, 1303, 823, 5561, 2476, 689, 2228, 10918, 269, 1879, 5009, 5010, 682, 1162, 267, 11168, 22537, 29282, 20009, 547, 15138, 5054, 543, 7317, 10525, 563, 265, 645, 719, 1664, 20730, 281, 18990, 22581, 23695, 547, 1808, 4690, 610, 12137, 1127, 1683, 29988, 5092, 3255, 269, 3171, 1155, 14850, 335, 5803, 29319, 267, 2199, 12352, 267, 543, 6098, 6725, 2994, 538, 707, 30572, 2326, 780, 3528, 10128, 891, 6932, 3466, 883, 707, 5299, 8586, 3646, 267, 596, 6542, 6791, 543, 2990, 3054, 607, 513, 18164, 4199, 585, 17053, 7218, 5275, 5499, 3435, 538, 513, 6385, 4657, 19458, 780, 14945, 9961, 713, 1770, 267, 649, 8268, 1585, 18125, 540, 2500, 1483, 10040, 5299, 8586, 267, 3226, 10223, 519, 1379, 540, 9423 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2077, 523, 1955, 1975, 534, 1329, 14216, 2605, 6686, 1156, 3026, 340, 2763, 527, 630, 309, 19652, 282, 595, 860, 928, 281, 645, 7238, 25632, 879, 267, 476, 1708, 271, 1070, 476, 4343, 282, 476, 13679, 1700, 23056, 563, 623, 1229, 320, 267, 968, 309, 2135, 7377, 25625, 281, 2961, 2522, 10552, 267, 20154, 22447, 267, 543, 519, 13891, 622, 28259, 532, 519, 8056, 659, 3634, 1230, 4003, 267, 1309, 269, 476, 8182, 271, 3034, 11048, 267, 1256, 20844, 632, 623, 1441, 320, 590, 297, 267, 945, 729, 1851, 1346, 945, 1185, 1044, 16091, 607, 968, 297, 28779, 2223, 29846, 519, 4031, 1996, 6014, 4571, 342, 1161, 543, 19230, 602, 519, 1126, 779, 5132, 1131, 7551, 581, 13572, 269, 20844, 632, 623, 1441, 320, 267, 12480, 690, 657, 12259, 807, 637, 632, 5487, 8968, 3120, 595, 2077, 10005, 5292, 269, 476, 274, 630, 32743, 5090, 281, 24157, 1774, 8619, 632, 1313, 2803, 1965, 11985, 10722, 3421, 282, 3798, 20601, 525, 25304, 267, 476, 3422, 274, 1070, 476, 9818, 282, 2983, 321, 651, 267, 630, 293, 8145, 323, 264, 298, 23152, 704, 267, 476, 14093, 563, 14472, 531, 773, 670, 1716, 663, 14162, 267, 8056, 659, 3634, 1230, 8526, 281, 634, 5295, 540, 519, 16241, 22569, 1588, 538, 7216, 7073, 8050, 630, 307, 528, 15193, 281, 2160, 540, 17842, 4964, 267, 476, 1001, 280, 1070, 476, 272, 1700, 6246, 563, 901, 1281, 711, 1611, 602, 519, 9718, 619, 540, 519, 8056, 659, 592, 1092, 941, 1863, 689, 24431, 655, 12792, 14882, 610, 602, 789, 7608, 6307, 779, 1747, 538, 17194, 269, 5502, 267, 968, 10472, 7664, 970, 878, 919, 6307, 689, 1200, 6014, 2796, 267, 18163, 1944, 1200, 1373, 543, 1863, 532, 1200, 689, 1022, 1462, 1670, 2078, 609, 1200, 6196, 11620, 3618, 569, 11299, 543, 840, 15479, 832, 2223, 1294, 670, 1716, 663, 14162, 267, 476, 3066, 269, 11048, 267, 519, 1657, 4681, 10169, 8887, 643, 1125, 519, 3409, 602, 519, 8056, 659, 592, 1092, 968, 704, 7065, 18050, 6014, 27313, 1436, 2223, 607, 17814, 676, 9324, 1047, 700, 269, 2677, 26078, 267, 968, 3412, 332, 659, 3634, 674, 956, 327, 543, 519, 4317, 10610, 281, 6307, 543, 519, 7642, 2223, 6014, 3778, 476, 1321, 267, 1100, 269, 476, 272, 630, 1960, 279, 2567, 476, 5325, 1700, 7597, 269, 1280, 519, 4276, 1063, 4550, 11219, 644, 15308, 267, 4550, 4149, 30146, 543, 25795, 1108, 1294, 29312, 1261, 559, 543, 14175, 518, 21919, 7204, 267, 32308, 1421, 12756, 267, 1677, 577, 614, 590, 542, 286, 25795, 860, 773, 267, 25795, 523, 325, 337, 7238, 7825, 580, 651, 527, 267, 3768, 7225, 523, 10623, 785, 338, 577, 10762, 630, 303, 611, 8538, 1941, 281, 5576, 7238, 940, 327, 267, 476, 1220, 272, 1916, 6423, 631, 4115, 334, 15016, 6737, 543, 2506, 7238, 651, 623, 2946, 614, 267, 968, 300, 4115, 15815, 15317, 1137, 1063, 3864, 543, 2817, 14740, 19725, 2223, 2289, 807, 10713, 527, 15384, 9040, 525, 5174, 8432, 2967, 269, 2289, 807, 16402, 335, 2801, 320, 476, 6795, 267, 1100, 269, 476, 275, 630, 1001, 275, 2567, 476, 14065, 1700, 4281, 563, 6423, 585, 1383, 27211, 10906, 16170, 5112, 267, 968, 763, 22947, 547, 5527, 281, 19331, 731, 513, 17557, 25795, 1108, 538, 24779, 2223, 538, 5824, 343, 338, 267, 519, 6426, 267, 543, 24779, 267, 1196, 269, 661, 325, 571, 27713, 3397, 739, 334, 543, 10496, 638, 5202, 631, 269, 670, 10537, 2998, 267, 634, 6426, 543, 8836, 5525, 630, 2419, 600, 281, 22219, 4139, 14539, 267, 476, 1001, 279, 1070, 476, 11820, 1700, 4029, 563, 6423, 681, 7238, 1457, 267, 14216, 918, 23152, 704, 2677, 623, 1845, 1562, 2983, 3691, 7770, 1955, 22186, 565, 714, 1143, 639, 14216, 2605, 6686, 1156, 3026, 340, 2763, 527, 267, 476, 28510, 1700, 8064, 282, 14732, 15243, 5459, 5576, 583, 974, 543, 8125, 341, 3570, 1530, 14988, 9093, 14024, 267, 968, 8072, 8110, 325, 24297, 5213, 3534, 522, 661, 3944, 2378, 16967, 7534, 286, 685, 674, 27599, 860, 807, 552, 257, 13834, 257, 538, 1133, 3933, 2120, 334, 5590, 974, 1417, 525, 1723, 2223, 2289, 328, 853, 7595, 328, 476, 6246, 267, 1100, 269, 476, 272, 630, 1220, 273, 2567, 476, 20720, 1700, 5379, 563, 6601, 526, 534, 681, 7238, 1457, 267, 14216, 918, 23152, 704, 964, 623, 1845, 1562, 2983, 3691, 7770, 708, 22186, 565, 714, 1143, 639, 3541, 2605, 6686, 1156, 3026, 340, 2763, 527, 630, 29445, 31060, 281, 28941, 267, 476, 1708, 272, 1070, 476, 26604, 1700, 10463, 563, 968, 301, 600, 24353, 324, 3023, 340, 9087, 655, 25177, 5033, 704, 535, 3726, 2357, 334, 9087, 655, 2088, 267, 1299, 24835, 1314, 3921, 17430, 2223, 19664, 639, 12756, 7638, 878, 22088, 267, 2372, 19508, 560, 542, 525, 5651, 2297, 1547, 1547, 1547, 1530, 340, 570, 847, 9850, 632, 24347, 4301, 529, 17030, 756, 639, 630, 309, 523, 823, 267, 476, 13679, 277, 1070, 533, 269, 5707, 269, 476, 1691, 267, 19796, 269, 476, 279, 267, 476, 277, 4200, 269, 8125, 341, 1470, 513, 590, 269, 590, 1197, 3626, 570, 20041, 267, 1546, 18103, 1588, 324, 1849, 20143, 28262, 570, 847, 9850, 630, 305, 727, 267, 476, 8182, 272, 1070, 7117, 269, 476, 275, 267, 513, 269, 476, 273, 267, 476, 2641, 563, 7338, 5842, 31712, 267, 2598, 1584, 566, 636, 632, 18813, 334, 4223, 3234, 517, 1470, 5485, 26963, 334, 1547, 1547, 1547, 630, 12901, 4546, 5155, 267, 476, 14065, 275, 1070, 5391, 269, 476, 278, 267, 7006, 269, 476, 11793, 282, 2549, 15842, 1047, 3474, 2946, 267, 28709, 932, 597, 4026, 3821, 19264, 4592, 4512, 3474, 2801, 328, 267, 11829, 3511, 636, 3204, 529, 10021, 541, 10202, 1696, 8303, 16772, 529, 630, 29445, 31060, 267, 476, 14065, 273, 1070, 476, 20862, 269, 595, 325, 269, 849, 2441, 1993, 17029, 12027, 267, 968, 763, 1079, 4031, 543, 519, 1614, 28486, 281, 24813, 4703, 538, 17374, 1876, 543, 4936, 1876, 630, 1321, 628, 547, 476, 1626, 628, 5553, 1070, 892, 14858, 1080, 577, 337, 3424, 3541, 14205, 793, 344, 21178, 3424, 2426, 24166, 1234, 577, 1206, 2471, 577, 747, 974, 281, 20855, 517, 626, 27528, 2806, 974, 559, 2426, 476, 1911, 267, 1100, 269, 476, 272, 630, 20606, 476, 272, 267, 476, 1001, 275, 2567, 476, 8687, 269, 634, 10120, 30675, 543, 22265, 6644, 593, 799, 5842, 31712, 12346, 568, 1336, 538, 7009, 878, 639, 632, 21540, 639, 807, 267, 7009, 878, 328, 9315, 1400, 529, 21118, 16772, 529, 5681, 2742, 589, 675, 320, 630, 309, 523, 823, 267, 476, 14991, 271, 1070, 21540, 639, 807, 476, 14991, 271, 267, 15073, 269, 476, 273, 267, 632, 1449, 756, 639, 267, 476, 3393, 280, 324, 269, 1280, 513, 1134, 8153, 31544, 10120, 3375, 538, 3870, 540, 513, 1200, 332, 7469, 16967, 924, 607, 16048, 5256, 25752, 267, 1294, 25840, 17340, 3333, 1676, 543, 14642, 1998, 4777, 28533, 718, 541, 267, 968, 291, 320, 623, 644, 12629, 513, 2398, 644, 550, 807, 281, 19129, 3117, 559, 1756, 4144, 7195, 4777, 26440, 2993, 772, 4472, 10972, 590, 592, 16629, 334, 1019, 16902, 990, 28839, 5689, 5684, 2088, 2223, 667, 597, 527, 1729, 552, 6713, 334, 476, 277, 630, 1001, 271, 2567, 476, 9032, 1700, 12208, 563, 681, 7238, 1457, 267, 14216, 918, 23152, 704, 964, 623, 1845, 1562, 267, 476, 29344, 563, 6423, 519, 14262, 1353, 540, 31839, 12251, 590, 1195, 518, 267, 2549, 15927, 6681, 13834, 538, 7216, 7073, 8050, 543, 17577, 269, 769, 638, 529, 6002, 267, 24930, 543, 519, 3690, 326, 1833, 540, 13834, 11870, 338, 630, 8867, 16582, 282, 11785, 281, 5696, 650, 267, 476, 1001, 273, 1916, 31240, 9627, 667, 770, 517, 543, 22186, 25978, 5244, 267, 968, 763, 19555, 7469, 16967, 924, 543, 519, 2107, 10249, 540, 7186, 281, 20351, 2549, 15927, 8462, 538, 7216, 7073, 5333, 2223, 23834, 304, 281, 589, 4750, 540, 15776, 15487, 543, 22985, 5525, 476, 272, 267, 1100, 269, 476, 275, 630, 1960, 276, 2567, 476, 275, 866, 1700, 4343, 269, 2201, 519, 16324, 9299, 343, 529, 1294, 2441, 1993, 17029, 12027, 267, 968, 7049, 1388, 1329, 642, 528, 15168, 32218, 269, 772, 928, 785, 324, 583, 580, 525, 717, 525, 577, 548, 19816, 538, 3541, 12908, 32218, 997, 1156, 16217, 343, 529, 964, 476, 1691, 269, 808, 1695, 9071, 8974, 1206, 2223, 538, 2549, 15927, 3726, 24477, 3768, 5884, 18103, 333, 684, 2102, 964, 1924, 345, 658, 523, 708, 631, 8636, 601, 531, 614, 267, 1196, 269, 18148, 2480, 17850, 518, 543, 4168, 32129, 14390, 630, 29155, 4802, 282, 11785, 281, 1546, 30421, 344, 614, 267, 476, 1001, 279, 1070, 476, 14681, 1700, 10619, 282, 2441, 1993, 17029, 12027, 267, 968, 32056, 19555, 7469, 549, 9016, 3768, 694, 710, 17793, 340, 269, 918, 23152, 704, 267, 20351, 28059, 3768, 717, 525, 577, 548, 19816, 708, 1975, 24477, 18283, 601, 531, 614, 2223, 16024, 27528, 14858, 1080, 577, 337, 3424, 476, 29574, 267, 1100, 269, 476, 274, 630, 20103, 476, 1626, 267, 476, 1001, 274, 2567, 476, 6795, 274, 1700, 30663, 563, 27722, 918, 919, 267, 968, 763, 3690, 326, 25311, 2622, 540, 519, 4258, 1998, 1512, 270, 10267, 1998, 328, 27056, 546, 685, 292, 517, 2223, 634, 4750, 540, 7073, 3778, 476, 6858, 267, 1100, 269, 476, 274, 630, 1960, 276, 2567, 476, 6795, 274, 282, 27722, 918, 919, 267, 631, 976, 773, 584, 546, 685, 292, 517, 1772, 513, 19716, 281, 589, 26626, 540, 11572, 2271, 3419, 826, 543, 20351, 16549, 20960, 1228, 630, 6124, 3840, 281, 9978, 7734, 267, 476, 1960, 276, 1916, 918, 919, 267, 968, 763, 3690, 326, 25311, 2622, 540, 519, 4258, 1998, 1512, 270, 10267, 1998, 328, 27056, 546, 685, 292, 517, 2223, 476, 6812, 277, 563, 8176, 13177, 267, 634, 15979, 540, 24956, 30008, 630, 23173, 8822, 267, 12590, 281, 12370, 2160, 4964, 267, 476, 1960, 272, 1070, 476, 6246, 1700, 4649, 282, 8176, 13177, 267, 7073, 4317, 22569, 514, 2456, 630, 291, 584, 5069, 267, 12135, 281, 16099, 2160, 4964, 267, 476, 1220, 275, 1070, 476, 2537, 1700, 1789, 269, 0, 10574, 2257, 568, 513, 6422, 2361, 602, 25856, 1472, 17634, 267, 2079, 267, 543, 2203, 2679, 269, 4578, 3744, 1419, 960, 609, 1585, 8021, 267, 29444, 267, 543, 1239, 2959, 267, 1818, 621, 4101, 547, 2226, 11007, 2066, 1114, 5054, 543, 12840, 3927, 269, 667, 29420, 814, 7153, 607, 513, 3532, 3070, 547, 891, 2591, 267, 5356, 1239, 3744, 513, 1259, 547, 20928, 741, 32262, 543, 3986, 5698, 269, 769, 713, 5816, 2022, 267, 649, 3513, 2263, 667, 29420, 585, 1239, 2257, 267, 922, 2640, 267, 543, 875, 596, 666, 1205, 3323, 563, 1432, 568, 667, 29420, 888, 291, 29420, 568, 513, 8708, 1436, 3760, 602, 2636, 596, 547, 10189, 606, 3498, 543, 922, 29444, 883, 513, 2582, 8708, 269, 901, 8708, 666, 2196, 9846, 2066, 1114, 5054, 267, 689, 707, 2199, 1646, 3684, 547, 2504, 13763, 267, 4180, 602, 707, 3498, 31136, 519, 1482, 1259, 10876, 269, 29597, 619, 616, 17426, 267, 15409, 267, 543, 9678, 689, 519, 3984, 1062, 267, 1818, 873, 606, 4998, 3903, 585, 1239, 2257, 24913, 338, 563, 763, 4578, 3163, 7420, 454, 10574, 3744, 1419, 960, 609, 513, 3099, 540, 2645, 267, 8021, 267, 543, 1239, 2959, 269, 3962, 1788, 1522, 2154, 513, 1808, 4528, 540, 5124, 267, 2789, 8021, 899, 17877, 267, 21795, 267, 543, 1414, 18145, 268, 16753, 267, 543, 5310, 1256, 7463, 3301, 899, 32150, 23044, 610, 12877, 307, 25403, 585, 2620, 1565, 4247, 269, 19737, 891, 29444, 666, 1831, 513, 3781, 332, 732, 1510, 513, 1697, 3070, 563, 12234, 267, 23712, 593, 1239, 2257, 3785, 666, 581, 16602, 269, 19457, 3009, 543, 4180, 602, 1169, 2319, 4759, 814, 519, 1482, 1604, 666, 1291, 547, 17356, 2152, 267, 4528, 25314, 520, 2583, 267, 543, 24906, 942, 30076, 2042, 2864, 982, 2519, 593, 2079, 543, 2203, 1646, 563, 291, 29420, 781, 22436, 585, 4578, 3163, 454, 272, 269, 5113, 3115, 1238, 322, 2225, 454, 291, 29420, 11149, 20206, 3634, 707, 3003, 1604, 267, 1519, 519, 5665, 1062, 267, 8021, 267, 543, 29444, 269, 901, 5849, 602, 707, 3009, 786, 2196, 9846, 267, 7488, 540, 1141, 621, 781, 13401, 269, 1411, 666, 5581, 519, 1604, 538, 513, 667, 29420, 12803, 267, 799, 5713, 607, 513, 29685, 585, 2870, 11149, 267, 1818, 621, 2653, 547, 4528, 1852, 543, 2671, 563, 273, 269, 667, 2570, 1890, 1772, 15684, 454, 3519, 1555, 619, 616, 9678, 689, 519, 3984, 1062, 267, 2495, 602, 2242, 610, 10311, 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, 12606, 11660, 6396, 31401, 454, 294, 604, 269, 898, 781, 1271, 547, 7413, 8097, 6959, 543, 9186, 267, 543, 2333, 6015, 538, 519, 6111, 540, 707, 2164, 269, 634, 3621, 1505, 568, 513, 1184, 1031, 547, 1374, 543, 1685, 6901, 563, 2005, 568, 513, 13387, 1184, 799, 3322, 6998, 2055, 267, 10478, 585, 4267, 267, 27378, 513, 2009, 2626, 1572, 513, 8367, 269, 17546, 519, 3621, 1505, 547, 707, 1053, 998, 891, 2093, 543, 2257, 6901, 256, 589, 1305, 540, 2553, 543, 3741, 2966, 547, 4434, 3621, 1382, 543, 2417, 519, 13250, 540, 1702, 267, 519, 563, 763, 3621, 1505, 568, 606, 12170, 1184, 1031, 547, 10536, 3621, 1702, 563, 763, 3621, 1505, 568, 519, 4998, 1184, 676, 799, 3744, 2161, 3621, 1382, 1058, 581, 5342, 269, 4635, 519, 3621, 1505, 585, 6901, 269, 2422, 707, 12823, 543, 1491, 269, 2913, 781, 2263, 519, 3621, 3621, 1505, 799, 693, 1101, 1522, 3100, 513, 2370, 3787, 25254, 855, 519, 8367, 568, 2965, 3020, 610, 711, 649, 10093, 1405, 2965, 2196, 519, 4603, 855, 621, 781, 513, 1434, 835, 1317, 269, 0, 6637, 476, 273, 11814, 532, 543, 13936, 1239, 454, 300, 582, 22899, 9183, 281, 1284, 1376, 693, 519, 4098, 540, 513, 1353, 1107, 875, 798, 649, 1305, 909, 513, 1434, 1259, 547, 1832, 3950, 540, 1239, 602, 786, 1450, 721, 547, 1445, 593, 1620, 543, 7421, 938, 1239, 267, 711, 556, 6716, 1944, 543, 22198, 4474, 621, 888, 13981, 3853, 281, 1635, 519, 1439, 540, 713, 3184, 596, 1058, 581, 2111, 547, 454, 268, 14674, 1655, 3741, 585, 10655, 267, 13936, 267, 543, 4509, 1239, 563, 268, 11512, 1946, 891, 616, 1434, 2093, 563, 268, 7756, 5573, 1063, 22619, 344, 543, 30255, 1239, 563, 263, 272, 264, 4578, 9257, 538, 24619, 9917, 1115, 630, 289, 668, 534, 543, 654, 5622, 476, 1001, 279, 1916, 263, 273, 264, 570, 573, 344, 4578, 630, 310, 1157, 5069, 476, 1001, 275, 1916, 263, 274, 264, 14210, 11822, 16390, 585, 3115, 1238, 24862, 32492, 3194, 630, 306, 663, 557, 476, 1001, 274, 1916, 273, 269, 272, 27986, 543, 14637, 707, 1239, 454, 2171, 1416, 827, 519, 1239, 267, 519, 1239, 616, 938, 3391, 998, 713, 1158, 269, 898, 568, 4061, 1360, 1271, 547, 2327, 519, 8699, 540, 938, 1239, 269, 25562, 700, 2532, 22603, 4121, 713, 782, 1932, 1134, 267, 950, 1200, 3523, 1807, 3190, 539, 609, 1200, 1239, 1305, 269, 769, 2838, 3381, 2630, 267, 1352, 14592, 519, 1655, 2853, 547, 2327, 519, 8699, 540, 707, 1239, 267, 1312, 1996, 796, 2675, 14442, 592, 748, 3523, 2209, 267, 610, 267, 811, 2693, 267, 5634, 9073, 5189, 538, 519, 1184, 540, 1239, 4015, 543, 2079, 563, 273, 269, 273, 4578, 538, 18580, 1115, 454, 10574, 616, 1034, 1419, 6740, 538, 18580, 1115, 267, 610, 3006, 538, 12240, 269, 1323, 1271, 4341, 585, 10063, 24862, 1239, 2079, 568, 602, 1239, 1058, 581, 9411, 538, 513, 22369, 543, 1287, 2150, 31189, 269, 5502, 540, 22212, 1239, 538, 513, 22369, 267, 649, 1058, 1020, 20072, 547, 1184, 543, 6882, 519, 1239, 269, 901, 5849, 602, 649, 666, 25473, 2671, 4010, 1018, 649, 1705, 543, 16196, 938, 2079, 689, 6151, 1239, 547, 3803, 1587, 563, 273, 269, 273, 269, 272, 9373, 532, 1239, 883, 18580, 1115, 454, 288, 2565, 851, 540, 10647, 513, 1353, 568, 6616, 1018, 596, 616, 7893, 267, 875, 596, 616, 7893, 621, 267, 875, 596, 2461, 10024, 621, 543, 1018, 3116, 596, 1522, 1616, 547, 917, 563, 2252, 596, 616, 10655, 707, 1378, 1239, 267, 610, 596, 616, 538, 593, 519, 2666, 6989, 540, 519, 3355, 1239, 4015, 5123, 540, 513, 1353, 267, 596, 1058, 6108, 513, 1906, 3108, 10452, 593, 1018, 707, 22369, 1058, 1413, 899, 267, 543, 1287, 1491, 513, 19625, 540, 1239, 543, 1287, 30603, 543, 1964, 4450, 607, 2556, 269, 769, 3257, 865, 267, 1491, 519, 5583, 538, 713, 3296, 267, 7361, 24850, 689, 630, 289, 668, 534, 543, 654, 5622, 476, 1001, 279, 1070, 883, 2272, 269, 1411, 3580, 9684, 803, 2663, 8627, 2336, 1240, 269, 10441, 269, 2420, 269, 12739, 2142, 5812, 543, 20982, 454, 2791, 1058, 3277, 547, 513, 3364, 538, 519, 1482, 15826, 1259, 2429, 513, 6241, 269, 6875, 267, 585, 1383, 267, 4008, 607, 513, 22194, 4756, 563, 288, 3983, 3919, 1131, 581, 281, 5256, 267, 4775, 267, 22503, 267, 631, 267, 6348, 1532, 2435, 267, 21058, 563, 288, 1434, 3919, 1131, 581, 281, 5256, 267, 4775, 267, 5256, 267, 5256, 267, 1875, 1532, 2435, 267, 4775, 563, 288, 1175, 607, 1434, 3919, 1131, 581, 281, 22503, 267, 21058, 267, 22503, 267, 22503, 267, 6348, 1532, 2435, 267, 21058, 563, 6930, 353, 498, 4208, 286, 29836, 498, 5221, 952, 649, 616, 3257, 606, 2079, 540, 2161, 4008, 7130, 649, 1810, 1406, 1616, 9038, 543, 631, 2297, 547, 2099, 1114, 2516, 563, 763, 5796, 1657, 849, 6585, 585, 7389, 543, 7508, 2418, 563, 763, 1034, 1455, 15007, 585, 7389, 568, 281, 962, 312, 312, 312, 5336, 300, 5937, 291, 563, 763, 1034, 1455, 15007, 568, 547, 4734, 2281, 8900, 952, 596, 1810, 1406, 723, 621, 2943, 267, 543, 6445, 873, 609, 454, 2793, 604, 596, 786, 2760, 1205, 602, 1239, 1448, 563, 2420, 269, 20969, 269, 14378, 269, 14862, 2422, 1434, 4408, 585, 1919, 454, 301, 1868, 1058, 581, 13801, 543, 10855, 269, 1358, 991, 711, 2995, 519, 3003, 1650, 269, 1280, 1383, 267, 4559, 616, 1732, 6854, 538, 513, 1239, 8675, 982, 6241, 2012, 563, 6930, 353, 498, 4208, 286, 29836, 498, 1411, 1810, 1406, 1616, 547, 1832, 17511, 1279, 26101, 1919, 538, 454, 305, 855, 596, 798, 1616, 4756, 4408, 547, 6655, 2495, 596, 666, 14678, 5431, 563, 14695, 269, 9834, 269, 3607, 269, 1960, 5269, 513, 1239, 8675, 454, 1432, 568, 513, 1239, 8675, 267, 596, 2307, 286, 2353, 519, 570, 11085, 602, 596, 1131, 6382, 2322, 538, 707, 22350, 1950, 6241, 4408, 269, 1924, 267, 1142, 4737, 1058, 5330, 547, 513, 4756, 538, 519, 1292, 1239, 3758, 267, 543, 1142, 6241, 1058, 581, 3606, 9623, 269, 1280, 1383, 267, 9587, 1223, 581, 454, 6930, 353, 498, 4208, 286, 29836, 498, 1411, 1616, 547, 723, 713, 1344, 3362, 3015, 1510, 10733, 2719, 909, 707, 1239, 6656, 563, 6642, 269, 279, 269, 14530, 269, 7367, 1684, 3502, 2422, 674, 2632, 7822, 610, 31209, 532, 607, 4578, 454, 2791, 949, 581, 15673, 539, 547, 31391, 1344, 609, 12050, 539, 1257, 267, 10223, 267, 610, 1257, 2681, 269, 5213, 1406, 798, 713, 256, 2142, 2386, 602, 782, 1344, 568, 538, 513, 28505, 6241, 563, 6930, 353, 498, 4208, 286, 29836, 498, 1452, 3063, 24795, 786, 2901, 581, 4503, 610, 1039, 606, 3063, 4110, 540, 2352, 569, 547, 707, 2079, 269, 15944, 971, 24795, 585, 519, 6881, 540, 1239, 563, 7277, 269, 10482, 269, 2412, 269, 18684, 3143, 2418, 1058, 581, 22466, 563, 22142, 4734, 606, 7127, 10145, 607, 968, 338, 1817, 628, 663, 585, 1482, 607, 1657, 1848, 6684, 267, 2760, 20301, 519, 1101, 21613, 630, 528, 2126, 267, 610, 8726, 264, 676, 922, 1931, 538, 513, 22369, 267, 855, 2864, 1118, 713, 8763, 609, 513, 1871, 538, 513, 6241, 563, 6930, 353, 498, 4208, 286, 29836, 498, 4578, 1931, 1223, 1205, 795, 14217, 543, 16310, 621, 1131, 1491, 3833, 513, 3787, 540, 4674, 547, 979, 689, 22466, 1931, 547, 513, 8579, 2079, 563, 13136, 269, 14096, 269, 14138, 269, 1556, 7982, 1575, 707, 1239, 267, 798, 711, 5905, 519, 3312, 1239, 3758, 543, 798, 711, 1685, 9273, 593, 621, 563, 24591, 707, 1239, 593, 1312, 707, 2780, 543, 513, 19526, 267, 796, 24737, 3386, 4087, 593, 519, 6531, 630, 324, 3052, 269, 24440, 2703, 338, 267, 6749, 7901, 267, 3092, 8094, 6930, 353, 498, 4208, 286, 29836, 498, 2659, 1239, 1305, 568, 3407, 269, 1411, 1810, 1406, 1616, 4376, 547, 4755, 547, 621, 269, 898, 849, 1223, 1450, 596, 547, 2327, 602, 707, 3523, 2209, 630, 663, 5924, 5449, 2777, 2173, 919, 264, 1705, 711, 13861, 519, 1239, 563, 1240, 269, 10441, 269, 2420, 269, 12739, 4578, 1058, 581, 22619, 344, 630, 10440, 14328, 994, 268, 3962, 4756, 1590, 723, 922, 1378, 6241, 563, 268, 3962, 8343, 1590, 723, 922, 1378, 4737, 563, 268, 3962, 1871, 1590, 723, 922, 1378, 1591, 563, 6930, 353, 498, 4208, 286, 29836, 498, 901, 1239, 2497, 2356, 2306, 8579, 2079, 543, 1239, 14839, 1454, 4443, 563, 273, 269, 273, 269, 273, 1546, 2718, 609, 630, 1278, 1004, 779, 264, 1239, 538, 18580, 1115, 454, 2171, 616, 1419, 2016, 1239, 6394, 676, 2576, 3116, 630, 322, 3326, 1987, 2209, 267, 1930, 1239, 5036, 3092, 1040, 1403, 649, 2461, 18822, 789, 1705, 513, 1390, 2816, 543, 649, 2461, 4712, 547, 979, 269, 2859, 1419, 267, 789, 1705, 21453, 543, 649, 723, 513, 11213, 5662, 547, 513, 11213, 3018, 6619, 540, 721, 607, 649, 2973, 909, 741, 1239, 269, 27824, 569, 267, 741, 1239, 4015, 2853, 616, 865, 4057, 602, 741, 1239, 616, 711, 3730, 563, 1103, 713, 1576, 649, 786, 3382, 930, 2596, 1239, 21389, 836, 1782, 2645, 547, 4308, 609, 30299, 14449, 267, 855, 602, 568, 711, 513, 1576, 1445, 610, 1576, 3804, 269, 1924, 267, 938, 3007, 547, 713, 3390, 786, 581, 8766, 269, 1403, 596, 1616, 811, 948, 1934, 267, 594, 2303, 851, 4083, 540, 681, 585, 4578, 3163, 630, 294, 549, 12661, 1495, 543, 654, 1157, 5069, 476, 1001, 279, 1916, 273, 269, 273, 269, 274, 30540, 1239, 454, 2005, 779, 1655, 2259, 547, 4688, 1239, 607, 513, 17426, 267, 6366, 3758, 899, 513, 454, 27406, 269, 9185, 2636, 596, 547, 4688, 14449, 607, 513, 26417, 256, 1809, 952, 596, 2731, 1616, 547, 946, 454, 11859, 3149, 343, 3898, 596, 666, 269, 3807, 581, 3222, 602, 930, 2934, 267, 2523, 1346, 594, 4941, 596, 547, 2057, 267, 1657, 267, 949, 711, 960, 1134, 2899, 16865, 883, 454, 273, 269, 273, 269, 275, 5029, 1944, 32766, 454, 13014, 1272, 2653, 593, 3054, 676, 4758, 1142, 1788, 922, 1378, 17835, 267, 609, 1016, 24670, 619, 585, 1239, 267, 5515, 267, 3009, 267, 543, 1603, 269, 901, 2306, 9382, 2653, 547, 2671, 543, 16196, 563, 296, 3810, 4363, 8156, 713, 1576, 607, 513, 1788, 267, 865, 1118, 513, 17835, 593, 707, 2780, 1572, 454, 1952, 29736, 318, 6798, 739, 1846, 543, 513, 17835, 538, 972, 1572, 1239, 269, 1403, 596, 798, 713, 267, 707, 1272, 786, 581, 1732, 563, 763, 7084, 568, 547, 581, 5828, 538, 593, 17198, 267, 621, 814, 2055, 2847, 6295, 1472, 563, 26368, 513, 10471, 593, 707, 2780, 630, 728, 958, 835, 602, 568, 1271, 547, 596, 952, 596, 723, 835, 1070, 610, 835, 596, 4076, 2097, 2066, 538, 1776, 1362, 267, 610, 2228, 3092, 2507, 6496, 621, 1246, 1655, 2853, 538, 22369, 14764, 286, 11512, 1946, 610, 1946, 711, 563, 13014, 909, 513, 1507, 10471, 267, 2901, 689, 2241, 7422, 538, 707, 1158, 610, 689, 707, 9345, 1739, 1655, 2853, 538, 22369, 14764, 563, 5226, 714, 2055, 602, 616, 519, 1482, 607, 1346, 2630, 269, 1403, 596, 2119, 873, 1101, 1934, 267, 596, 3580, 581, 2386, 547, 4283, 519, 1318, 4267, 593, 17198, 563, 8269, 22162, 593, 25562, 700, 2532, 22603, 779, 3381, 269, 0, 11847, 11781, 539, 689, 634, 5101, 11068, 1633, 2983, 8319, 515, 267, 5591, 1704, 267, 18907, 476, 3422, 273, 563, 21511, 8447, 8629, 2008, 31871, 540, 9664, 1475, 1556, 2008, 306, 20488, 568, 513, 6923, 3812, 20249, 5833, 689, 1082, 2249, 540, 519, 16536, 26615, 269, 769, 519, 7957, 10696, 16536, 729, 3812, 676, 513, 26615, 630, 289, 558, 2421, 343, 2849, 328, 1070, 602, 1031, 621, 547, 8095, 513, 6806, 9279, 3019, 547, 2149, 1200, 10480, 593, 519, 15273, 9440, 6978, 799, 729, 6738, 538, 7977, 269, 28010, 26939, 689, 519, 645, 558, 2421, 343, 2849, 328, 16536, 11988, 723, 513, 21083, 3444, 3296, 609, 17031, 15174, 267, 476, 276, 1700, 1015, 32755, 2647, 269, 634, 6555, 1588, 676, 8330, 25233, 543, 25561, 1670, 26263, 1580, 320, 630, 24336, 281, 13127, 353, 358, 24757, 418, 364, 352, 420, 365, 350, 421, 505, 506, 22287, 510, 282, 533, 4176, 514, 281, 570, 1014, 654, 523, 1627, 328, 2473, 21628, 2098, 320, 2098, 7315, 1070, 849, 1634, 607, 3883, 540, 28010, 568, 606, 3504, 17651, 16536, 12377, 16432, 676, 4457, 19936, 540, 519, 5375, 12390, 19092, 630, 7460, 1107, 476, 280, 5084, 264, 543, 1336, 538, 519, 631, 1177, 836, 706, 328, 540, 26284, 3333, 320, 267, 21373 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3114, 1648, 540, 519, 5755, 883, 5122, 1648, 269, 901, 568, 6913, 676, 9870, 519, 9252, 538, 519, 26925, 267, 9750, 621, 998, 4429, 1692, 513, 3213, 2788, 1600, 5295, 7233, 1568, 281, 476, 272, 269, 15021, 18242, 269, 2608, 10870, 531, 689, 519, 9553, 568, 9447, 547, 519, 5755, 5577, 704, 267, 1141, 621, 568, 16760, 547, 2947, 1298, 22015, 637, 630, 273, 6279, 264, 538, 2450, 269, 2608, 763, 5755, 568, 9268, 543, 9447, 676, 513, 23740, 269, 12966, 547, 519, 10451, 2030, 269, 476, 273, 563, 289, 9531, 540, 6052, 21252, 476, 4029, 634, 1071, 2788, 3975, 5577, 704, 8255, 2059, 519, 3003, 1071, 2788, 3975, 1439, 540, 519, 19460, 269, 589, 19254, 16416, 568, 1031, 547, 1852, 519, 2557, 693, 799, 5755, 568, 10480, 883, 519, 19460, 267, 543, 547, 1852, 519, 11098, 540, 519, 5755, 5127, 543, 3432, 540, 519, 16416, 269, 15021, 1590, 581, 7833, 538, 2450, 267, 607, 1804, 561, 7927, 786, 711, 6633, 856, 635, 454, 6440, 15021, 568, 1031, 607, 4492, 1934, 1317, 649, 616, 2469, 547, 2721, 519, 2095, 6516, 540, 513, 5755, 8143, 1379, 10451, 2030, 269, 15021, 5932, 2838, 3002, 1648, 676, 13674, 538, 519, 19460, 269, 5794, 568, 13859, 547, 519, 19460, 547, 17108, 519, 13674, 2557, 540, 519, 5755, 543, 547, 3136, 519, 2095, 540, 1166, 826, 9362, 3330, 519, 8022, 1062, 563, 303, 592, 591, 1242, 5755, 630, 335, 592, 591, 1242, 4492, 335, 325, 264, 814, 1044, 17991, 538, 27414, 9160, 4893, 985, 630, 5408, 18741, 985, 264, 543, 15245, 7677, 2167, 630, 5408, 4425, 32078, 1040, 763, 8545, 616, 10416, 10833, 20898, 609, 13740, 538, 799, 1216, 568, 18493, 730, 543, 2270, 513, 1216, 270, 4614, 600, 7848, 269, 634, 5755, 568, 5102, 591, 1242, 547, 513, 5386, 8869, 267, 2356, 865, 602, 476, 3583, 260, 568, 1447, 982, 827, 476, 4037, 32755, 538, 2450, 267, 1354, 1373, 5645, 676, 851, 540, 519, 13674, 2011, 6908, 547, 519, 4429, 6440, 634, 2030, 568, 1631, 12595, 693, 589, 278, 1789, 2929, 630, 28462, 25870, 332, 264, 543, 922, 1007, 5411, 723, 1100, 4566, 547, 9505, 621, 1022, 942, 4166, 269, 18321, 538, 5755, 949, 711, 2141, 581, 30039, 267, 1498, 269, 769, 1547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22236, 25708, 21388, 602, 519, 2749, 6499, 547, 2981, 883, 513, 7524, 4683, 8378, 269, 634, 2749, 540, 21388, 814, 11280, 519, 1858, 689, 15248, 16819, 8235, 547, 476, 276, 628, 9335, 543, 689, 19681, 541, 25376, 4582, 731, 547, 5842, 21293, 9335, 607, 519, 1530, 1695, 565, 332, 10588, 269, 2311, 519, 4295, 540, 519, 8664, 568, 519, 1232, 2174, 2153, 539, 1530, 1695, 565, 332, 5295, 7233, 267, 799, 786, 581, 556, 16467, 539, 883, 513, 19506, 10821, 543, 10685, 10278, 269, 2991, 1896, 1296, 540, 17799, 543, 7301, 6238, 1813, 538, 851, 547, 513, 21748, 602, 12015, 909, 14104, 585, 1646, 267, 4070, 568, 4397, 547, 1376, 593, 556, 31141, 3785, 693, 519, 5449, 1530, 1695, 565, 332, 5295, 7233, 543, 519, 3135, 540, 519, 5449, 5682, 4826, 9615, 7233, 7532, 540, 1530, 1695, 565, 332, 538, 476, 1001, 273, 269, 21388, 2861, 25763, 11150, 6828, 267, 519, 1788, 781, 1291, 17354, 267, 9307, 4566, 547, 2253, 960, 593, 519, 476, 14596, 267, 1822, 4009, 3952, 540, 1646, 547, 581, 3710, 593, 519, 476, 278, 269, 279, 23505, 3135, 269, 634, 3785, 786, 2981, 519, 1232, 2174, 2153, 539, 2371, 593, 25708, 781, 27623, 6316, 883, 18512, 32387, 609, 15945, 267, 20730, 267, 598, 3256, 514, 1756, 338, 267, 6306, 906, 543, 824, 1646, 563, 289, 8145, 1180, 13332, 19866, 10588, 3097, 763, 6601, 12107, 13332, 19866, 10588, 568, 513, 4015, 540, 22221, 8978, 5321, 4092, 538, 519, 22070, 7944, 540, 25708, 267, 9112, 689, 519, 476, 6977, 271, 338, 547, 476, 4489, 271, 269, 634, 3625, 729, 3773, 547, 2817, 19193, 540, 19866, 23089, 538, 476, 3192, 271, 267, 543, 568, 2808, 835, 540, 519, 1906, 6967, 5580, 11665, 16972, 16973, 540, 519, 1647, 547, 3735, 476, 866, 628, 2540, 538, 7147, 269, 14520, 540, 891, 8075, 941, 3710, 610, 9450, 585, 2818, 540, 519, 3885, 540, 14552, 26290, 2940, 543, 3627, 6601, 12107, 267, 945, 941, 7986, 538, 3735, 268, 866, 628, 10601, 21388, 1514, 267, 23335, 2358, 267, 543, 12948, 10580, 269, 1358, 616, 4092, 1369, 519, 4009, 3625, 536, 23912, 676, 4639, 1530, 22770, 267, 4639, 661, 12915, 267, 2871, 611, 2728, 701, 267, 543, 5842, 21293, 10754, 269, 634, 8664, 849, 2882, 1896, 8075, 593, 519, 7178, 2427, 540, 5842, 21293, 543, 519, 5045, 2427, 540, 4639, 1530, 22770, 267, 693, 2547, 1614, 540, 799, 941, 3710, 610, 12012, 676, 519, 3345, 1920, 563, 297, 644, 2471, 10830, 3097, 297, 644, 2471, 10830, 568, 513, 7361, 10821, 8378, 568, 4092, 5087, 540, 519, 3844, 1870, 8664, 540, 25708, 21388, 593, 519, 9456, 1025, 4428, 6772, 8504, 3212, 848, 5244, 267, 536, 23912, 676, 21586, 9835, 324, 9335, 267, 476, 1428, 628, 9335, 267, 9410, 13162, 3751, 267, 12789, 269, 2349, 341, 323, 543, 19681, 541, 2349, 341, 323, 269, 769, 476, 6977, 272, 267, 18379, 26400, 28238, 1782, 1849, 871, 21662, 517, 3710, 519, 1101, 1753, 538, 1459, 6377, 7225, 2471, 10830, 2282, 519, 7944, 540, 476, 1240, 628, 543, 5842, 28792, 269, 4014, 519, 2777, 729, 13604, 23542, 1639, 538, 476, 3422, 277, 269, 25960, 21662, 517, 729, 519, 1101, 1851, 519, 8378, 17055, 16488, 543, 27192, 945, 12236, 519, 1858, 519, 2012, 540, 7225, 2471, 10830, 269, 634, 1858, 2882, 1082, 13840, 11280, 3601, 689, 519, 3735, 476, 866, 628, 2540, 267, 930, 1713, 4571, 10601, 2413, 1374, 267, 2875, 2950, 543, 3908, 3818, 1922, 13637, 8027, 563, 307, 718, 652, 5656, 3097, 26222, 2229, 3097, 763, 2749, 10689, 568, 4092, 538, 22337, 660, 1144, 21388, 543, 568, 519, 11889, 5604, 540, 21388, 269, 20323, 3710, 538, 476, 6942, 272, 267, 519, 2749, 10689, 729, 23542, 1639, 543, 32206, 2789, 2053, 1354, 519, 1699, 835, 729, 3710, 538, 5437, 476, 1220, 275, 269, 634, 1699, 2749, 10689, 1942, 539, 1269, 4649, 269, 277, 2929, 547, 1628, 543, 3568, 513, 2698, 540, 476, 278, 2984, 267, 540, 799, 476, 274, 616, 11895, 269, 10738, 519, 2679, 267, 2749, 14643, 11401, 1491, 1747, 538, 519, 14643, 20830, 269, 634, 2749, 14643, 267, 1519, 519, 25650, 267, 616, 20366, 676, 21388, 781, 7264, 543, 4196, 476, 274, 4458, 2474, 563, 15575, 344, 2229, 3097, 13750, 2229, 3097, 291, 578, 660, 1144, 21388, 568, 13856, 676, 519, 7147, 3557, 7167, 20738, 543, 2404, 2229, 5656, 563, 763, 2160, 540, 7147, 3590, 568, 2212, 32483, 1229, 538, 22337, 660, 1144, 21388, 269, 744, 269, 8361, 8065, 267, 519, 1292, 22071, 267, 729, 8385, 513, 5313, 1330, 628, 1787, 543, 2022, 5604, 269, 634, 7338, 808, 269, 15570, 330, 3557, 8433, 8490, 568, 4092, 538, 22337, 660, 1144, 21388, 269, 898, 2882, 519, 7147, 3557, 2160, 3590, 22071, 563, 293, 3985, 2229, 3097, 13312, 680, 11703, 13485, 3097, 22479, 1388, 27062, 18815, 16958, 2488, 1857, 6283, 2533, 267, 1519, 1668, 267, 1612, 520, 4920, 527, 543, 2094, 476, 1001, 271, 267, 862, 17458, 7841, 2533, 547, 22337, 660, 1144, 21388, 269, 634, 22337, 660, 1144, 13317, 5450, 2928, 841, 568, 4092, 2282, 519, 21388, 13482, 4741, 593, 19549, 9335, 267, 1063, 715, 16696, 543, 27076, 282, 519, 6728, 568, 3544, 540, 519, 21388, 13482, 4741, 563, 28899, 12820, 538, 22337, 660, 1144, 21388, 1331, 519, 9746, 22071, 543, 17514, 1222, 4558, 540, 19940, 16639, 10369, 543, 717, 16256, 261, 300, 22830, 4975, 269, 7147, 13600, 569, 267, 513, 12139, 267, 814, 922, 22071, 538, 22337, 660, 1144, 21388, 269, 5576, 14309, 345, 20391, 781, 814, 922, 22071, 538, 519, 476, 22145, 6837, 22971, 2679, 538, 22337, 660, 1144, 21388, 269, 634, 7147, 9866, 13996, 267, 513, 12139, 267, 814, 922, 22071, 538, 22337, 660, 1144, 21388, 269, 717, 578, 718, 320, 849, 814, 922, 22071, 972, 563, 8624, 548, 2471, 543, 9945, 3097, 288, 755, 514, 7991, 5441, 13333, 519, 21586, 9835, 324, 28941, 538, 22337, 660, 1144, 563, 27650, 543, 6281, 3506, 3097, 288, 755, 514, 18763, 3427, 10588, 13333, 1858, 1857, 3506, 269, 634, 1990, 19861, 3506, 616, 4092, 3544, 540, 22337, 660, 1144, 269, 2353, 7264, 5045, 540, 476, 1428, 628, 9335, 616, 1990, 19861, 547, 4223, 515, 9749, 16504, 3427, 267, 744, 269, 8361, 5664, 3427, 267, 543, 21388, 4400, 3427, 269, 2368, 7264, 5087, 540, 476, 1428, 628, 9335, 616, 1990, 19861, 547, 10557, 16504, 3427, 267, 3223, 2718, 5664, 3427, 267, 543, 15966, 718, 636, 4400, 3427, 269, 4033, 7264, 616, 1990, 19861, 547, 21563, 12027, 28418, 16504, 3427, 267, 744, 269, 8361, 5664, 3427, 267, 543, 21388, 4400, 3427, 269, 769, 1840, 267, 3212, 848, 16504, 3427, 568, 4092, 538, 22337, 660, 1144, 21388, 563, 8248, 848, 729, 3710, 538, 476, 6942, 277, 269, 4223, 515, 9749, 729, 3710, 538, 476, 4489, 277, 269, 21563, 12027, 28418, 543, 10557, 941, 3710, 538, 476, 4350, 280, 269, 15966, 718, 636, 543, 744, 269, 8361, 941, 3710, 538, 476, 4198, 274, 269, 634, 1699, 21388, 4400, 3427, 13464, 8118, 538, 476, 3192, 276, 563, 6635, 1206, 543, 2528, 3097, 763, 20368, 870, 26308, 568, 606, 21388, 2686, 24069, 269, 29740, 543, 6192, 538, 476, 4489, 276, 267, 621, 729, 8385, 1500, 585, 642, 7596, 5271, 4068, 269, 3683, 519, 1296, 267, 607, 9413, 2968, 519, 3056, 1106, 540, 9913, 267, 519, 14364, 729, 28889, 601, 539, 609, 15081, 565, 560, 1229, 23107, 543, 513, 1533, 6361, 7308, 19603, 3280, 1062, 269, 634, 14364, 1131, 5176, 2673, 538, 519, 476, 3422, 271, 338, 607, 1004, 1500, 519, 1847, 689, 519, 11596, 547, 8613, 269, 1717, 267, 519, 2679, 1131, 581, 17468, 1354, 14656, 267, 3056, 519, 20368, 870, 26308, 547, 2057, 23542, 819, 269, 4653, 267, 519, 14364, 5170, 547, 7500, 267, 13156, 2442, 9413, 563, 347, 310, 1731, 12855, 12780, 814, 2923, 1644, 547, 281, 22337, 660, 1144, 21388, 267, 7147, 2008, 763, 5449, 3117, 3634, 29731, 540, 6792, 538, 21388, 454, 268, 834, 291, 578, 660, 1144, 21388, 4643, 1701, 4975, 540, 21388, 269, 4860, 2213, 5988, 476, 1691, 267, 476, 1220, 280, 269, 476, 1704, 540, 476, 10082, 269, 8158, 593, 5988, 476, 275, 267, 476, 1220, 280, 563, 268, 834, 10468, 662, 4011, 3125, 338, 538, 16684, 2668, 3245, 1067, 781, 269, 8158, 476, 1220, 280, 268, 5881, 268, 2764, 16804, 1372, 611, 3095, 2639, 268, 8176, 667, 1421, 1975, 584, 4802, 269, 834, 310, 718, 518, 267, 3798, 7773, 2668, 18361, 540, 7147, 269, 8158, 5181, 476, 277, 267, 476, 1001, 272, 10756, 268, 4446, 5886, 267, 7812, 630, 20826, 476, 278, 267, 476, 1001, 272, 1040, 834, 14188, 3798, 7773, 9931, 518, 585, 21388, 779, 7787, 1544, 2668, 8158, 5437, 476, 2190, 267, 476, 1001, 272, 563, 268, 17755, 3863, 267, 3057, 10767, 3455, 1299, 4889, 919, 269, 834, 14532, 540, 3162, 6837, 2668, 8158, 5239, 476, 4029, 267, 476, 1001, 272, 563, 268, 18724, 21492, 267, 18724, 21492, 630, 20606, 476, 1428, 267, 476, 1220, 272, 1040, 834, 277, 628, 4446, 2349, 1132, 2668, 634, 11545, 6809, 534, 269, 8158, 476, 1220, 280, 268, 5881, 268, 1691, 563, 268, 19258, 517, 267, 23718, 630, 21938, 476, 2537, 267, 476, 1220, 279, 1040, 834, 2171, 2811, 21388, 8535, 2668, 634, 26851, 269, 8158, 476, 1220, 280, 268, 5881, 268, 1691, 563, 268, 26442, 749, 267, 918, 1803, 630, 1220, 277, 1040, 4825, 790, 22337, 660, 1144, 269, 12448, 338, 5062, 9288, 601, 14539, 269, 6032, 269, 476, 8182, 267, 476, 14341, 269, 9768, 476, 7818, 268, 271, 268, 278, 2412, 278, 268, 2568, 275, 280, 268, 276, 269, 8158, 476, 1220, 280, 268, 5881, 268, 1691, 563, 268, 834, 277, 628, 9335, 32672, 4705, 2668, 18270, 622, 21388, 18225, 269, 8158, 476, 1220, 280, 268, 5881, 268, 1691, 563, 268, 15168, 2041, 267, 645, 4958, 630, 21776, 476, 279, 267, 476, 1220, 277, 1040, 834, 288, 3781, 593, 519, 824, 2427, 8761, 513, 24567, 9913, 8664, 1851, 519, 5604, 5656, 543, 7873, 657, 2668, 21388, 1977, 21178, 919, 2006, 269, 8158, 5437, 476, 2190, 267, 476, 1001, 272, 563, 268, 674, 31867, 267, 808, 650, 630, 9802, 476, 276, 267, 476, 1001, 272, 1040, 834, 288, 755, 514, 779, 1715, 12182, 32431, 2668, 1715, 3840, 8648, 18225, 269, 8158, 5437, 476, 2190, 267, 476, 1001, 272, 563, 268, 12672, 1512, 267, 26637, 630, 20464, 476, 2641, 267, 476, 1001, 272, 1040, 834, 273, 526, 9335, 10588, 4825, 841, 20431, 3599, 1401, 4624, 1677, 28651, 476, 10844, 20587, 901, 5729, 2668, 918, 7473, 5240, 269, 8158, 5437, 476, 2190, 267, 476, 1001, 272, 563, 268, 14480, 8663, 267, 12789, 1421, 28243, 630, 20464, 476, 2764, 267, 476, 1001, 272, 1040, 834, 763, 700, 675, 540, 14175, 5674, 9335, 2668, 21388, 20048, 1834, 269, 8158, 5437, 476, 2190, 267, 476, 1001, 272, 563, 268, 8734, 752, 267, 1744, 25352, 630, 19751, 476, 1704, 267, 476, 1001, 272, 1040, 834, 5475, 1296, 540, 17799, 267, 4070, 538, 8289, 585, 2127, 538, 1530, 1695, 565, 332, 10588, 267, 4013, 3081, 2668, 21388, 1977, 21178, 919, 2006, 269, 8158, 5437, 476, 2190, 267, 476, 1001, 272, 563, 268, 5261, 5459, 267, 681, 2135, 22828, 269, 834, 289, 8145, 1180, 13332, 19866, 10588, 2668, 18361, 540, 7147, 6732, 269, 8158, 5437, 476, 736, 267, 476, 1001, 272, 563, 268, 834, 307, 13052, 3008, 1107, 3004, 6665, 6019, 19866, 5940, 12230, 2668, 2817, 19193, 540, 19866, 23089, 269, 8158, 5181, 476, 278, 267, 476, 1001, 272, 563, 268, 834, 297, 644, 2471, 10830, 3778, 2668, 7225, 2471, 10830, 27199, 4011, 3125, 5948, 269, 8158, 5437, 476, 2190, 267, 476, 1001, 272, 563, 268, 834, 288, 755, 514, 4975, 8065, 2668, 634, 4975, 540, 21388, 269, 8158, 4873, 476, 2767, 267, 476, 1001, 272, 563, 268, 834, 273, 526, 9335, 10588, 2668, 634, 4975, 540, 21388, 269, 8158, 4873, 476, 2767, 267, 476, 1001, 272, 563, 268, 834, 10666, 4975, 8065, 2668, 634, 4975, 540, 21388, 269, 8158, 4873, 476, 2767, 267, 476, 1001, 272, 563, 268, 834, 290, 1735, 4290, 16422, 1499, 2668, 634, 4975, 540, 589, 639, 527, 333, 269, 8158, 4873, 476, 2767, 267, 476, 1001, 272, 563, 268, 834, 288, 755, 514, 4975, 7027, 2668, 634, 4975, 540, 21388, 269, 8158, 4873, 476, 2767, 267, 476, 1001, 272, 563, 268, 834, 288, 755, 514, 9605, 4972, 13749, 10934, 2668, 634, 4975, 540, 21388, 269, 8158, 4873, 476, 2767, 267, 476, 1001, 272, 563, 268, 834, 9199, 6665, 6019, 22337, 660, 1144, 13216, 1701, 3004, 6665, 6019, 269, 8158 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2318, 1259, 267, 4189, 543, 3635, 607, 602, 12904, 1927, 585, 15296, 269, 13488, 15990, 269, 634, 7726, 540, 570, 4292, 2904, 476, 272, 267, 634, 19548, 16794, 814, 3670, 6106, 269, 16508, 543, 2790, 8171, 269, 19171, 1292, 10624, 269, 1452, 2090, 949, 2709, 930, 4126, 547, 14038, 7092, 689, 8965, 610, 3929, 2042, 269, 1855, 839, 1184, 1344, 609, 519, 993, 17789, 323, 8403, 269, 2398, 5793, 7888, 4528, 269, 3509, 1919, 1860, 2634, 1646, 1519, 11976, 267, 1367, 543, 2825, 2188, 563, 5978, 1445, 593, 4264, 7067, 12662, 12322, 543, 1762, 4079, 593, 513, 13374, 585, 1967, 563, 5938, 523, 6162, 13720, 2591, 267, 12503, 267, 17613, 267, 15673, 725, 267, 543, 12134, 538, 12058, 602, 616, 711, 2943, 4628, 2919, 269, 4033, 2694, 540, 519, 2634, 267, 899, 519, 9267, 18133, 11057, 993, 17789, 323, 8403, 7537, 294, 602, 18795, 2620, 538, 519, 2634, 267, 2408, 547, 581, 4628, 9921, 1454, 4505, 269, 3509, 5778, 27023, 1235, 1589, 602, 713, 25314, 2255, 538, 2634, 15657, 949, 2491, 513, 2603, 540, 15730, 2623, 269, 4197, 1018, 1346, 25314, 520, 2583, 666, 1611, 568, 835, 540, 519, 2591, 6849, 3744, 4974, 15730, 2634, 1646, 269, 12275, 1676, 3081, 269, 11671, 27023, 1235, 723, 1279, 2219, 602, 519, 9921, 623, 15598, 21560, 519, 7537, 294, 267, 8380, 513, 2736, 593, 3929, 267, 10728, 267, 610, 15859, 783, 856, 10767, 7370, 269, 1809, 711, 3388, 666, 581, 30199, 610, 1058, 581, 30199, 593, 2634, 1646, 269, 0, 10666, 901, 3848, 454, 21980, 766, 1299, 29960, 11150, 585, 12140, 910, 3848, 12834, 454, 5978, 4966, 723, 2322, 1927, 713, 3126, 540, 4245, 547, 7794, 707, 1620, 540, 5583, 543, 13508, 2994, 585, 3506, 269, 2422, 713, 3184, 547, 1491, 513, 1413, 693, 519, 3483, 540, 1367, 13508, 267, 1265, 856, 875, 547, 1382, 543, 5635, 3506, 1510, 513, 2852, 3643, 267, 543, 5635, 2010, 543, 2640, 540, 4876, 10526, 269, 1411, 786, 849, 723, 519, 4316, 547, 2689, 1570, 1519, 912, 268, 19884, 4879, 2645, 454, 268, 5004, 2200, 585, 2029, 2861, 13460, 454, 268, 16792, 585, 2883, 5351, 689, 14174, 293, 6347, 267, 2852, 25689, 267, 543, 4357, 25689, 454, 268, 9828, 540, 3070, 25700, 5618, 3797, 543, 8965, 3069, 454, 268, 21478, 540, 5615, 543, 4664, 593, 3929, 1072, 543, 4205, 609, 519, 1158, 454, 268, 12697, 543, 2994, 585, 4081, 6304, 454, 27832, 976, 2736, 909, 519, 1641, 544, 831, 883, 2110, 17486, 540, 1344, 267, 2519, 593, 835, 1292, 1888, 1142, 269, 27678, 616, 18799, 676, 938, 4274, 16929, 543, 782, 4245, 1331, 513, 7688, 693, 519, 1439, 585, 1582, 12431, 20156, 269, 1703, 568, 849, 4183, 799, 13071, 596, 10505, 513, 2243, 540, 519, 14357, 563, 272, 269, 1548, 1772, 513, 19884, 10495, 286, 910, 9502, 267, 13088, 1299, 7151, 454, 6826, 24173, 4879, 568, 1031, 547, 7747, 267, 4766, 267, 2491, 543, 3589, 2623, 269, 901, 3992, 6941, 519, 1184, 543, 3498, 540, 8965, 4879, 543, 4255, 707, 1620, 609, 513, 5618, 7688, 563, 273, 269, 5303, 15369, 15858, 5004, 8249, 454, 1103, 713, 3992, 267, 649, 3513, 1413, 693, 1896, 2010, 540, 2029, 2861, 4928, 2359, 2200, 267, 971, 607, 3059, 3446, 9248, 543, 4928, 2623, 3950, 619, 269, 1284, 3513, 849, 2263, 4388, 585, 1210, 891, 2200, 607, 1134, 607, 4128, 1946, 789, 2811, 5363, 563, 274, 269, 19396, 8178, 906, 281, 9537, 1299, 11588, 454, 2467, 616, 1082, 4876, 5079, 856, 972, 269, 1215, 798, 596, 6430, 799, 835, 568, 1318, 585, 596, 286, 769, 713, 3992, 267, 649, 3513, 4983, 519, 1114, 2010, 540, 4876, 10526, 543, 875, 789, 666, 948, 596, 3442, 519, 1655, 4876, 563, 275, 269, 1215, 547, 3194, 543, 14424, 12140, 9453, 513, 5441, 16731, 454, 1432, 952, 596, 2811, 711, 2111, 547, 3643, 782, 540, 519, 12621, 596, 2811, 6236, 286, 5213, 1405, 5855, 269, 1703, 616, 7899, 540, 2081, 547, 1205, 513, 1745, 585, 513, 13464, 1510, 513, 3643, 269, 1411, 1810, 1405, 991, 547, 798, 3388, 593, 713, 1592, 267, 855, 519, 811, 596, 798, 267, 519, 811, 596, 3513, 1451, 563, 276, 269, 14174, 293, 6347, 9669, 281, 1215, 547, 15233, 585, 11038, 22707, 454, 11693, 519, 5812, 4473, 538, 2852, 24875, 267, 4466, 2081, 547, 2628, 585, 2852, 568, 593, 519, 21282, 540, 1169, 2875, 781, 2247, 269, 16792, 585, 2852, 7616, 998, 519, 15234, 293, 3985, 9906, 22707, 5257, 5604, 568, 835, 540, 519, 15864, 2081, 547, 2253, 269, 19415, 547, 713, 3992, 547, 1265, 856, 875, 547, 1205, 3323, 609, 707, 5131, 13335, 585, 8549, 9906, 22707, 543, 581, 593, 707, 1259, 547, 9878, 585, 2852, 563, 277, 269, 16792, 585, 18623, 4721, 693, 2659, 5441, 454, 306, 3273, 1513, 4721, 8366, 519, 18579, 609, 2883, 5351, 602, 1281, 711, 723, 547, 581, 1065, 4660, 269, 901, 3992, 6227, 2081, 547, 1265, 1367, 1153, 17898, 29107, 25689, 543, 4388, 585, 2810, 707, 12918, 540, 10888, 25689, 563, 278, 269, 16792, 585, 17721, 18623, 4721, 454, 7468, 10675, 25689, 8366, 519, 18579, 609, 2883, 5351, 602, 1281, 711, 723, 547, 581, 1065, 4660, 269, 901, 3992, 6227, 930, 540, 519, 2081, 547, 1265, 4357, 25689, 607, 1134, 607, 4388, 585, 2810, 707, 12918, 540, 10888, 4357, 25689, 563, 279, 269, 1548, 568, 10572, 29960, 286, 910, 9502, 1299, 20828, 454, 1607, 3992, 7710, 519, 9238, 540, 1018, 1367, 13508, 568, 689, 519, 24468, 781, 5133, 269, 32087, 568, 875, 1367, 13508, 15320, 689, 1895, 543, 1920, 13508, 607, 1134, 607, 606, 7778, 540, 519, 2596, 13508, 1184, 563, 280, 269, 1548, 568, 8827, 6363, 21682, 16684, 10657, 286, 910, 9828, 1299, 9751, 454, 1607, 3992, 11225, 8827, 6363, 21682, 16684, 10657, 630, 306, 293, 6630, 264, 543, 24716, 621, 609, 2757, 3797, 269, 24700, 6630, 2553, 543, 2866, 616, 5941, 267, 2059, 609, 519, 13057, 3741, 540, 713, 9354, 1935, 563, 1015, 269, 19884, 7869, 538, 29960, 281, 9828, 1299, 17644, 454, 1692, 798, 8965, 28466, 946, 3621, 12191, 538, 13508, 286, 1215, 2500, 568, 713, 1935, 543, 1018, 616, 922, 7687, 286, 6258, 519, 4267, 547, 891, 2055, 538, 713, 3992, 563, 1556, 269, 15465, 543, 15465, 5174, 324, 24173, 26935, 625, 454, 1320, 4454, 3157, 267, 4664, 267, 543, 5615, 910, 19315, 1250, 256, 6496, 519, 1259, 649, 1184, 1344, 1860, 938, 3929, 1072, 543, 6547, 547, 519, 1158, 1472, 721, 888, 1321, 269, 6520, 5025, 653, 12037, 11150, 585, 12409, 12020, 454, 1103, 713, 3992, 267, 649, 786, 1413, 693, 519, 7580, 4081, 4058, 1184, 585, 4543, 782, 1053, 1831, 5441, 543, 19396, 27973, 267, 2519, 593, 519, 3334, 602, 1153, 24784, 693, 1142, 3446, 1377, 11886, 563, 1724, 269, 14288, 27800, 281, 9502, 267, 4643, 1299, 11150, 454, 2304, 4081, 6304, 568, 513, 4928, 4640, 547, 4217, 1053, 538, 1565, 269, 769, 713, 3992, 267, 1806, 540, 1585, 2994, 786, 581, 3254, 267, 543, 649, 3513, 2697, 519, 9342, 538, 1142, 563, 28606, 940, 5441, 15894, 454, 12441, 596, 917, 2507, 1284, 723, 936, 476, 1220, 2852, 6030, 602, 5965, 596, 547, 7118, 5491, 676, 981, 602, 568, 7608, 676, 936, 476, 272, 267, 4335, 12621, 543, 9945, 269, 1411, 666, 1449, 856, 540, 519, 1101, 1079, 1296, 540, 2852, 543, 4688, 5215, 1055, 707, 4110, 269, 25175, 666, 7118, 5491, 8386, 7721, 600, 7488, 540, 2085, 610, 2069, 1377, 563, 2414, 1451, 811, 267, 3643, 938, 2423, 940, 15894, 8525, 454, 9558, 2536, 2590, 5491, 547, 519, 1153, 540, 707, 3903, 454, 8253, 2386, 1018, 2852, 596, 1616, 547, 7390, 2943, 286, 5530, 2593, 814, 5215, 540, 4930, 827, 1169, 16697, 762, 4110, 267, 1858, 540, 1353, 543, 4876, 2619, 602, 666, 948, 596, 1265, 519, 1153, 602, 781, 1318, 585, 596, 563, 8448, 11271, 1369, 519, 16217, 343, 529, 12333, 3427, 21835, 528, 630, 276, 5655, 272, 2567, 6657, 1299, 5530, 6651, 1576, 454, 268, 634, 3778, 1299, 10020, 540, 3427, 21835, 832, 454, 268, 4197, 5274, 12618, 1299, 4886, 454, 268, 28636, 540, 14740, 19725, 1299, 4317, 4886, 454, 268, 15979, 1299, 3427, 29960, 454, 268, 12333, 4886, 585, 3427, 21835, 832, 454, 268, 3427, 543, 3590, 26291, 454, 268, 13751, 12983, 538, 3427, 29960, 454, 268, 6828, 29960, 454, 268, 9752, 4841, 6168, 19396, 4886, 454, 268, 19019, 531, 1299, 19884, 5004, 11150, 538, 4147, 454, 268, 19822, 27800, 585, 3427, 21835, 832, 454, 268, 9906, 16844, 1299, 12983, 538, 3427, 29960, 454, 268, 13693, 566, 538, 3427, 29960, 454, 268, 3955, 6761, 1299, 6452, 7951, 725, 538, 3427, 29960, 454, 268, 5004, 538, 3427, 29960, 454, 268, 10055, 1464, 538, 3427, 29960, 454, 268, 10495, 12983, 538, 3427, 29960, 454, 268, 3427, 29960, 1299, 9906, 27159, 454, 268, 16217, 343, 529, 12333, 3427, 21835, 528, 18044, 11568, 0, 13640, 529, 15716, 476, 1001, 276, 454, 763, 8303, 15716, 3844, 2832, 568, 547, 7794, 519, 2518, 3210, 547, 519, 3463, 540, 2916, 1689, 676, 5329, 513, 2518, 2837, 4473, 713, 2540, 1134, 2630, 476, 273, 5232, 17622, 1657, 840, 11897, 12009, 2157, 543, 547, 11654, 3646, 547, 3970, 519, 2837, 2333, 1256, 2417, 547, 476, 272, 269, 276, 5232, 17622, 269, 3958, 267, 519, 6876, 6663, 547, 7794, 519, 2702, 540, 2477, 547, 4308, 609, 519, 5222, 540, 2916, 1689, 269, 1677, 3914, 891, 16529, 3853, 267, 3617, 2883, 8928, 267, 513, 1007, 2029, 5943, 543, 606, 8476, 4390, 2679, 5943, 786, 581, 2322, 538, 1747, 267, 3976, 5885, 2962, 676, 3384, 2477, 543, 519, 1034, 7925, 2477, 267, 538, 1899, 609, 741, 1378, 3084, 6859, 269, 634, 15716, 849, 2488, 585, 8476, 11413, 540, 2962, 543, 1489, 998, 513, 811, 7347, 11413, 5943, 269, 0, 12850, 267, 7733, 543, 6694, 2244, 616, 4503, 607, 2551, 814, 22224, 547, 476, 277, 269, 276, 2929, 563, 12850, 19401, 693, 713, 9649, 11023, 325, 584, 21345, 3786, 616, 15018, 909, 563, 18131, 7227, 607, 1279, 607, 1614, 2395, 585, 1216, 267, 1210, 28478, 787, 322, 753, 547, 4688, 741, 4025, 538, 10419, 783, 3515, 602, 13131, 1472, 15450, 269, 589, 1032, 3516, 267, 7264, 1223, 6445, 513, 476, 276, 3766, 718, 517, 5068, 666, 538, 513, 1906, 3764, 267, 855, 25015, 519, 2095, 568, 865, 3500, 621, 3217, 3368, 606, 5662, 563, 10454, 1216, 568, 4881, 856, 2437, 1767, 25795, 600, 30277, 15011, 25428, 267, 476, 3374, 267, 24852, 693, 519, 6802, 609, 606, 10867, 2269, 5529, 547, 1200, 1394, 269, 834, 2026, 4166, 607, 594, 6445, 835, 28478, 787, 4754, 267, 594, 2322, 1776, 693, 519, 1394, 540, 519, 1899, 4799, 12850, 3884, 1405, 519, 1152, 13155, 4199, 269, 5983, 7370, 941, 22872, 1524, 1279, 3516, 267, 543, 519, 5072, 941, 25653, 909, 585, 3595, 6229, 269, 23897, 1343, 540, 19774, 3885, 616, 2713, 29691, 6305, 6694, 2244, 267, 7303, 6705, 689, 3395, 1426, 563, 2026, 519, 11023, 325, 584, 4655, 4485, 922, 11359, 1032, 267, 519, 2825, 8833, 540, 519, 1158, 781, 4102, 12761, 6433, 568, 3533, 15723, 1154, 7262, 20528, 781, 2907, 1606, 8364, 576, 2067, 2200, 269, 20226, 2161, 519, 3510, 568, 12615, 908, 5312, 22520, 540, 2244, 543, 1216, 602, 8329, 547, 519, 8165, 538, 519, 1101, 1747, 563, 257, 2467, 568, 513, 7372, 4199, 1966, 538, 11023, 325, 584, 2437, 1767, 2825, 626, 16334, 1177, 807, 1744, 5417, 611, 267, 2212, 540, 519, 20528, 3150, 5113, 11094, 5980, 269, 834, 2171, 4312, 1044, 22551, 532, 827, 713, 585, 1296, 267, 855, 1100, 835, 19557, 4799, 1103, 519, 6560, 547, 3142, 4708, 547, 11023, 325, 584, 267, 476, 1220, 267, 1822, 1004, 723, 5747, 543, 476, 273, 269, 276, 2929, 723, 1044, 19774, 269, 5999, 827, 546, 13388, 1782, 2067, 2200, 723, 7361, 1044, 1490, 19813, 11735, 607, 6595, 3646, 723, 5059, 593, 9494, 2729, 543, 8023, 519, 17237, 563, 3719, 609, 5359, 11164, 17331, 909, 689, 11023, 325, 584, 13122, 827, 1216, 22520, 267, 936, 560, 5962, 2244, 543, 2810, 17717, 267, 5351, 4600, 543, 20528, 3150, 15628, 2161, 4466, 1279, 3856, 3435, 547, 519, 3148, 781, 2825, 530, 3996, 568, 1175, 607, 2629, 607, 19620, 3354, 543, 8757, 513, 2797, 14207, 563, 10454, 804, 10449, 1223, 782, 3247, 14182, 543, 649, 4465, 1405, 723, 6410, 1022, 6251, 547, 6061, 519, 1483, 2042, 540, 11023, 325, 584, 267, 799, 594, 1589, 2097, 1524, 547, 519, 1604, 2437, 1767, 595, 622, 6008, 1622, 267, 9117, 2212, 540, 772, 12991, 269, 19493, 4238, 538, 4432, 674, 553, 615 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3859, 1648, 855, 29620, 10237, 894, 3002, 2530, 269, 4322, 19216, 616, 1031, 811, 4749, 585, 772, 2529, 12809, 3859, 1216, 22865, 21689, 609, 3002, 10398, 655, 518, 1017, 3156, 2529, 6897, 1216, 8022, 1949, 3592, 2141, 2154, 513, 19307, 1062, 585, 31063, 2395, 543, 2053, 540, 2799, 3747, 2529, 6897, 4826, 1261, 11596, 4972, 540, 6052, 2164, 585, 713, 2243, 1432, 616, 519, 1114, 2010, 540, 3859, 1216, 28909, 286, 1432, 616, 519, 1114, 2010, 540, 3859, 1216, 28909, 286, 23530, 1216, 8022, 1949, 1331, 4859, 13688, 543, 3859, 19216, 269, 2467, 616, 1079, 2010, 540, 3859, 1216, 8022, 1949, 3742, 267, 6518, 723, 21883, 15450, 543, 8060, 25467, 12809, 267, 6518, 21645, 10422, 817, 633, 3859, 1216, 22865, 4566, 1949, 616, 3335, 1447, 7199, 982, 3742, 1949, 267, 8117, 789, 516, 2356, 607, 3608, 10422, 817, 633, 3859, 1216, 22865, 543, 875, 621, 1568, 11536, 4596, 302, 454, 27879, 633, 9891, 4826, 1261, 11596, 269, 5472, 3859, 1949, 723, 693, 2547, 519, 1482, 1079, 2694, 606, 1202, 4327, 1216, 4859, 7382, 543, 835, 610, 811, 3859, 21689, 8440, 602, 10110, 3859, 5982, 10422, 817, 633, 3859, 1216, 28909, 267, 517, 519, 824, 1688, 267, 516, 569, 593, 513, 4999, 540, 8904, 267, 4248, 2604, 25467, 28681, 269, 3519, 557, 794, 568, 519, 12402, 540, 3905, 1216, 547, 4473, 1657, 4411, 1216, 6993, 583, 1817, 7917, 4787, 23705, 559, 14888, 312, 9891, 1261, 908, 609, 519, 14333, 3400, 321, 828, 910, 18789, 910, 631, 30862, 2207, 18789, 3859, 8022, 1210, 519, 14333, 3400, 321, 828, 269, 5629, 3710, 32586, 631, 30862, 2207, 661, 2752, 8025, 21832, 306, 3002, 10544, 828, 1058, 2285, 1296, 540, 4096, 762, 3028, 269, 2414, 2070, 519, 14745, 538, 1445, 267, 28781, 593, 519, 3239, 538, 519, 12005, 3624, 4964, 28962, 28820, 10840, 570, 4209, 14333, 623, 6559, 9891, 4826, 3383, 531, 337, 4826, 1261, 831, 267, 18208, 28962, 9891, 11814, 528, 267, 28959, 623, 6559, 9891, 4826, 1261, 831, 10672, 1315, 18261, 538, 3624, 267, 4752, 1359, 4964, 28962, 28820, 10840, 570, 4209, 14333, 623, 6559, 9891, 4826, 1261, 831, 9891, 2983, 903, 518, 476, 4968, 299, 585, 23392, 267, 18128, 659, 18050, 570, 25683, 15107, 4469, 622, 9891, 11814, 528, 585, 9891, 1261, 908, 623, 944, 1261, 908, 267, 18208, 28962, 19371, 5345, 659, 18050, 28820, 10840, 570, 4209, 14333, 623, 6559, 585, 9891, 1261, 908, 543, 865, 593, 563, 19770, 4210, 21148, 623, 944, 14333, 623, 6559, 9891, 11814, 528, 609, 13082, 2353, 1195, 31108, 267, 8340, 3877, 827, 3624, 9891, 11814, 528, 267, 27879, 633, 9891, 1261, 908, 689, 4210, 21148, 623, 944, 14333, 623, 6559, 9891, 11814, 528, 609, 13082, 2353, 1195, 31108, 910, 808, 21628, 24175, 3220, 269, 311, 807, 9891, 6052, 5549, 269, 19770, 28820, 10840, 570, 4209, 14333, 623, 6559, 9891, 11814, 528, 22804, 6717, 476, 736, 570, 25683, 9891, 4826, 1261, 831, 267, 12850, 1261, 831, 267, 23530, 12182, 4826, 1261, 831, 10672, 1315, 18261, 538, 3624, 267, 4752, 1359, 28820, 10840, 570, 4209, 14333, 623, 6559, 9891, 11814, 528, 22804, 6717, 476, 736, 570, 25683, 267, 299, 2086, 9891, 12567, 31786, 12567, 9891, 28691, 30482, 4826, 16513, 700, 2086, 30482, 9891, 10896, 8752, 267, 18128, 659, 18050, 570, 25683, 15107, 4469, 622, 9891, 11814, 528, 585, 9891, 1261, 908, 623, 944, 1261, 908, 543, 865, 593, 269, 21008, 532, 519, 13437, 540, 5565, 18789, 9891, 4826, 1261, 908, 634, 4530, 11814, 528, 14818, 5590, 1575, 8110, 18504, 1805, 1725, 566, 18323, 16797, 4530, 13356, 4575, 6904, 11814, 528, 547, 12706, 4467, 906, 296, 3710, 519, 1449, 21689, 607, 2673, 607, 594, 1223, 547, 8845, 781, 21689, 607, 4330, 538, 1010, 3381, 269, 10666, 519, 1152, 3364, 594, 4957, 729, 547, 9395, 523, 909, 519, 1567, 518, 8546, 19437, 547, 630, 327, 2100, 2685, 264, 1205, 513, 3787, 1732, 2773, 7868, 1449, 21689, 4726, 828, 7516, 616, 476, 273, 10264, 2647, 676, 476, 274, 10264, 1164, 20136, 568, 519, 2450, 594, 13603, 950, 2679, 519, 6129, 3244, 15975, 607, 519, 1655, 14207, 1063, 711, 3897, 2719, 519, 8279, 538, 519, 2898, 8378, 950, 621, 2501, 593, 543, 2348, 621, 3677, 2614, 547, 1205, 1434, 2164, 269, 2690, 513, 1483, 2458, 8450, 811, 593, 1628, 1080, 565, 1513, 6897, 1216, 22865, 270, 28959, 10612, 3859, 21689, 267, 8698, 3859, 3859, 1216, 22865, 270, 28959, 10612, 3859, 21689, 267, 4785, 1269, 476, 1911, 910, 476, 1220, 1315, 14295, 517, 267, 293, 1752, 5826, 543, 7816, 3028, 267, 272, 5729, 267, 31640, 601, 267, 31359, 3835, 269, 517, 454, 23530, 1216, 8022, 568, 513, 7791, 1648, 2029, 2529, 6897, 1216, 8022, 19216, 7001, 543, 11677, 3002, 689, 519, 3141, 543, 4483, 713, 3002, 547, 513, 579, 573, 2529, 6897, 8143, 3002, 568, 16290, 1210, 519, 8511, 1198, 267, 514, 713, 2013, 621, 568, 519, 2702, 540, 513, 556, 624, 633, 2627, 630, 320, 12001, 4837, 6656, 264, 547, 7001, 519, 3002, 538, 519, 3859, 21689, 12171, 850, 12025, 476, 16928, 30641, 17273, 4032, 476, 278, 1692, 547, 12706, 513, 10426, 633, 9891, 623, 944, 1261, 831, 670, 6064, 518, 21010, 835, 1439, 540, 519, 3859, 21689, 547, 6802, 585, 707, 7535, 16638, 2850, 513, 9505, 1055, 11896, 865, 602, 596, 666, 2490, 519, 22865, 593, 543, 1055, 676, 9013, 2436, 610, 711, 1216, 666, 2095, 998, 621, 269, 3721, 476, 274, 4045, 519, 824, 1439, 540, 519, 3859, 19443, 7535, 22865, 547, 707, 7535, 609, 513, 3259, 540, 8685, 532, 269, 28959, 623, 6559, 11814, 528, 9891, 4826, 1261, 831, 11536, 4596, 8008, 6055, 13517, 589, 3002, 10612, 602, 338, 17332, 883, 519, 1710, 25309, 713, 3002, 543, 19132, 621, 547, 519, 5374, 20927, 693, 519, 5207, 540, 519, 21689, 269, 2381, 328, 3859, 1216, 22865, 519, 14246, 10612, 949, 581, 513, 2960, 5500, 5374, 8546, 602, 3568, 620, 8077, 7274, 540, 4568, 5277, 269, 5629, 519, 14246, 10612, 568, 1641, 547, 620, 8077, 7274, 540, 14246, 519, 5277, 1369, 11517, 3278, 543, 7140, 883, 9252, 563, 23530, 4826, 1261, 831, 267, 12850, 1261, 831, 267, 23530, 12182, 4826, 1261, 831, 10672, 1315, 18261, 538, 3624, 267, 4752, 1359, 4400, 21252, 14333, 623, 6559, 9891, 5345, 659, 18050, 570, 4209, 11814, 528, 476, 1789, 570, 25683, 267, 305, 334, 1993, 5440, 25065, 17934, 14562, 21573, 13023, 517, 9891, 4826, 1261, 831, 267, 299, 2086, 9891, 12567, 31786, 12567, 9891, 28691, 30482, 4826, 16513, 700, 2086, 30482, 9891, 10896, 8752, 543, 865, 593, 269, 11947, 16242, 14333, 623, 6559, 9891, 11814, 528, 9891, 4826, 1261, 831, 310, 4861, 520, 3002, 10612, 3859, 1216, 28909, 616, 606, 782, 2987, 14633, 3859, 1216, 8022, 1062, 269, 5445, 616, 4998, 585, 23478, 2046, 28962, 3905, 1216, 547, 10821, 5561, 945, 2154, 513, 4264, 267, 324, 6470, 547, 3888, 267, 14683, 4398, 543, 6325, 3859, 3905, 1216, 3070, 269, 3412, 1137, 540, 10426, 633, 9891, 4826, 1261, 831, 11814, 528, 609, 14333, 623, 6559, 2592, 27879, 633, 9891, 4826, 1261, 908, 1648, 6230, 334, 10993, 21801, 476, 5881, 267, 1001, 278, 6440, 26807, 4853, 543, 12250, 3156, 540, 3859, 1216, 8022, 946, 17355, 18050, 8546, 19216, 15030, 601, 3429, 513, 3002, 12258, 22162, 4496, 6676, 547, 513, 1216, 10612, 543, 11093, 621, 3330, 513, 12511, 8546, 2636, 519, 3937, 547, 3002, 1216, 547, 513, 2837, 540, 476, 12573, 271, 293, 5861, 739, 4123, 32187, 1590, 581, 2808, 950, 7446, 835, 1826, 540, 1062, 936, 519, 824, 563, 277, 4446, 32255, 13082, 9891, 4826, 1261, 831, 25065, 17934, 11814, 528, 3143, 21694, 269, 28959, 623, 6559, 9891, 11814, 528, 269, 1691, 265, 3583, 7825, 9473, 27660, 21019, 3223, 2096, 1046, 10088, 1386, 4400, 21252, 14333, 623, 6559, 9891, 11814, 528, 2529, 559, 591, 7822, 4964, 28962, 9891, 11814, 528, 2073, 23530, 26365, 11814, 832, 1280, 25065, 10162, 1993, 269, 28959, 623, 6559, 9891, 5295, 11814, 528, 2073, 23530, 4826, 11814, 528, 1280, 1744, 1077, 476, 2190, 570, 25683, 269, 11947, 623, 10062, 9891, 11814, 528, 14333, 623, 6559, 2073, 23530, 12182, 4826, 11814, 528, 27879, 633, 12411, 639, 15765, 9891, 12182, 4826, 1261, 11596, 6904, 1772, 4924, 476, 2420, 267, 1001, 278, 6440, 27879, 633, 7010, 3657, 10815, 5890, 2400, 6993, 3859, 3905, 1216, 22865, 786, 1942, 596, 12341, 1063, 1269, 8517, 547, 1269, 277, 267, 1822, 8704, 267, 8117, 513, 12809, 1062, 9090, 8813, 593, 519, 2539, 1439, 540, 602, 4336, 269, 4002, 519, 824, 1688, 267, 527, 1131, 581, 2352, 547, 1265, 543, 3888, 606, 3742, 1770, 585, 1447, 982, 1269, 273, 267, 4335, 7868, 1826, 540, 21689, 543, 519, 2450, 540, 707, 1062, 543, 707, 4658, 849, 2307, 1432, 568, 513, 12809, 3859, 1216, 22865, 286, 1432, 568, 513, 12809, 3859, 1216, 22865, 286, 1432, 568, 513, 12809, 3859, 1216, 22865, 286, 634, 12809, 3859, 1216, 28909, 616, 2241, 8022, 1949, 602, 8415, 519, 1863, 3859, 3002, 1648, 1510, 519, 946, 540, 606, 5007, 1648, 547, 4483, 519, 3905, 543, 4411, 3859, 12862, 4877, 817, 633, 3859, 1216, 22865, 1019, 344, 1374, 270, 680, 753, 11486, 4265, 11536, 4596, 302, 454, 5472, 12809, 3859, 1216, 28909, 7500, 676, 519, 1482, 6240, 282, 950, 513, 3905, 1216, 7148, 568, 5828, 593, 538, 519, 2679, 22698, 1245, 1216, 689, 519, 2749, 1216, 3761, 8928, 998, 519, 3859, 21689, 1101, 543, 568, 840, 13463, 730, 1354, 10024, 519, 6671, 3154, 267, 11798, 610, 3167, 1216, 22865, 7551, 14320, 4227, 610, 1256, 14874, 4616, 25820, 16186, 1269, 29496, 910, 1269, 276, 3445, 23530, 623, 944, 1261, 908, 910, 12706, 268, 2005, 4149, 6897, 288, 476, 4968, 10264, 16509, 540, 476, 272, 10759, 10612, 814, 513, 3859, 21689, 1858, 540, 476, 1839, 13483, 1111, 267, 810, 922, 2469, 547, 1491, 513, 2603, 540, 10612, 547, 1205, 909, 547, 3368, 707, 20115, 2627, 616, 7868, 570, 19895, 1415, 10612, 16509, 7535, 22865, 630, 5408, 1657, 264, 2488, 2773, 2338, 25467, 5526, 547, 13182, 602, 513, 2016, 1858, 540, 10612, 16509, 786, 723, 519, 1482, 2773, 607, 519, 1482, 1858, 540, 12285, 1319, 2511, 13565, 19707, 585, 12809, 3859, 1216, 22865, 21689, 530, 328, 17742, 10612, 3859, 1216, 28909, 10139, 633, 3859, 1216, 22865, 1374, 10139, 633, 3859, 1216, 22865, 20164, 10139, 633, 3859, 1216, 22865, 1019, 344, 18872, 10612, 3859, 1216, 22865, 10139, 633, 16801, 3859, 1216, 22865, 10139, 633, 3859, 646, 1846, 6897, 1216, 22865, 3002, 9401, 9734, 5278, 2164, 616, 6569, 538, 3210, 547, 513, 5469, 540, 2199, 1876, 10421, 269, 2690, 811, 1344, 267, 921, 848, 1294, 1934, 269, 11277, 3393, 9202, 454, 2304, 21885, 623, 13052, 9891, 4826, 1261, 908, 11814, 528, 1452, 3817, 3382, 606, 8097, 3859, 21689, 585, 8022, 1216, 602, 3096, 623, 13052, 10612, 3079, 540, 519, 8912, 5374, 10612, 20136, 4070, 814, 519, 1761, 547, 13497, 2569, 1942, 25467, 849, 547, 1118, 519, 21689, 1454, 4443, 547, 1628, 609, 1455, 18789, 1983, 2529, 6897, 12182, 4826, 1261, 908, 1977, 9891, 6052, 5980, 23530, 3905, 1216, 1949, 2097, 538, 1079, 10366, 12809, 543, 3742, 16638, 3636, 16374, 28083, 2241, 12809, 1062, 666, 1683, 7899, 540, 3905, 1216, 10422, 817, 633, 9891, 4826, 268, 3891, 908, 7010, 10422, 817, 633, 1949, 616, 8704, 538, 2127, 1141, 19068, 4027, 568, 711, 606, 3390, 7868, 1034, 1455, 2010, 616, 7533, 21689, 4859, 630, 12903, 264, 543, 5687, 657, 13023, 517, 1949, 2529, 6897, 4826, 1261, 831, 3590, 8779, 267, 3682, 338, 3117, 10426, 633, 25966, 3057, 476, 736, 267, 1708, 272, 6440, 2691, 513, 3905, 1216, 7148, 568, 5828, 593, 538, 519, 2777, 32586, 2604, 540, 519, 19670, 1216, 24864, 519, 12699, 1216, 856, 540, 519, 3859, 8022, 1062, 267, 10843, 519, 11255, 12992, 547, 519, 31316, 564, 9950, 2416, 1826, 540, 3859, 21689, 540, 519, 12809, 5687, 657, 344, 874, 517, 2186, 666, 581, 19610, 609, 513, 4859, 7382, 15841, 2362, 593, 519, 8122, 982, 519, 21689, 563, 1692, 1358, 4518, 1805, 4392, 570, 3471, 543, 9891, 11814, 832, 15675, 532, 589, 9891, 4826, 1261, 831, 9743, 16226, 543, 24367, 634, 3590, 18719, 1324, 6052, 21252, 8448, 4826, 1261, 831, 18169, 23530, 1216, 8022, 1949, 1331, 4859, 13688, 543, 3859, 19216, 269, 2467, 616, 1079, 2010, 540, 3859, 1216, 8022, 1949, 3742, 267, 6518, 723, 21883, 15450, 543, 8060, 25467, 12809, 267, 6518, 1810, 1405, 269, 2467, 616, 1079, 2010, 540, 3742, 3859, 1216, 8022, 1949, 476, 272, 6185, 1311, 10009, 1949, 623, 7927, 32694, 7622, 1216, 998, 519, 19216, 543, 883, 519, 1753, 269, 5445, 960, 1134, 538, 16374, 1141 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8584, 7304, 1853, 4149, 924, 892, 5358, 269, 769, 1840, 547, 519, 1239, 6394, 267, 772, 300, 6573, 814, 1044, 606, 8449, 3811, 1982, 585, 4934, 18943, 543, 4065, 543, 1857, 7589, 607, 1134, 269, 3683, 519, 1296, 267, 7366, 540, 13538, 1519, 5757, 5726, 1235, 267, 3610, 267, 1053, 267, 2587, 6840, 267, 18513, 8387, 267, 543, 1082, 1866, 723, 19443, 538, 519, 2361, 3646, 543, 1239, 2079, 563, 4415, 772, 300, 6573, 1631, 936, 4557, 1296, 2025, 267, 972, 568, 606, 3573, 6538, 602, 2488, 513, 3140, 4493, 547, 6218, 875, 519, 5757, 2298, 949, 723, 4957, 936, 519, 1296, 269, 634, 772, 300, 6573, 568, 1869, 2469, 2178, 609, 1082, 25982, 13538, 11173, 547, 2132, 543, 4217, 538, 519, 10386, 543, 2079, 269, 772, 300, 12435, 3722, 786, 3136, 547, 2226, 543, 1489, 519, 772, 300, 6573, 607, 513, 9030, 4199, 547, 6895, 1216, 2298, 543, 585, 922, 2069, 543, 1857, 4656, 2640, 538, 5009, 543, 7863, 519, 4199, 2418, 540, 519, 5580, 8585, 3234, 871, 5211, 543, 922, 24659, 269, 4033, 18517, 267, 3853, 267, 6859, 267, 543, 2238, 616, 5941, 538, 1142, 540, 519, 1367, 4199, 6810, 269, 0, 3918, 26177, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1708, 8099, 269, 23669, 273, 18192, 272, 454, 20428, 281, 7177, 267, 15379, 1299, 18329, 7177, 27511, 281, 19666, 2792, 282, 674, 3198, 4953, 282, 711, 17898, 1824, 282, 14404, 2214, 8879, 2792, 3760, 282, 772, 16787, 282, 772, 16787, 5025, 1087, 13554, 3060, 282, 476, 276, 294, 454, 15697, 281, 476, 276, 5239, 476, 1708, 272, 630, 5400, 281, 4366, 281, 1556, 595, 12239, 994, 16966, 547, 29577, 10618, 538, 1114, 2694, 540, 519, 1158, 814, 1831, 513, 10862, 585, 930, 6608, 543, 9431, 8128, 1472, 519, 1158, 538, 2487, 1296, 269, 8490, 1007, 3059, 9897, 543, 13197, 513, 4448, 2486, 2882, 3168, 585, 4443, 1569, 547, 519, 5769, 269, 769, 2489, 267, 711, 782, 519, 2127, 1141, 1004, 7249, 26021, 616, 4628, 4988, 267, 2523, 538, 6917, 10851, 267, 3976, 28142, 1569, 547, 1239, 10618, 543, 8744, 8635, 269, 769, 519, 1459, 2689, 2376, 267, 649, 723, 2649, 1947, 23500, 519, 946, 540, 1614, 5867, 547, 5838, 29577, 2533, 547, 971, 6552, 543, 1970, 13867, 2127, 616, 6069, 281, 1133, 2006, 2740, 17224, 658, 30863, 630, 308, 16787, 1070, 16816, 3363, 15107, 13257, 630, 4338, 306, 1070, 543, 8899, 7232, 14390, 2107, 4226, 630, 4041, 302, 264, 15408, 269, 1452, 3209, 2994, 1489, 519, 4448, 543, 3015, 1158, 8367, 269, 9747, 772, 16787, 338, 616, 2808, 513, 29810, 3070, 2094, 741, 3608, 23603, 1464, 666, 20829, 519, 6917, 3795, 2152, 610, 711, 17898, 1824, 269, 0, 13425, 856, 681, 15477, 5588, 290, 779, 1007, 8641, 673, 28497, 2336, 2171, 616, 1360, 9599, 547, 14773, 938, 1007, 681, 15477, 5588, 290, 585, 966, 13052, 21842, 5752, 1893, 269, 1284, 4076, 7318, 519, 3301, 609, 10026, 1053, 543, 3610, 543, 519, 5752, 1604, 7902, 547, 581, 1360, 2875, 7874, 269, 1306, 609, 1022, 1007, 3301, 1053, 267, 3610, 267, 3237, 267, 543, 23003, 991, 547, 1451, 519, 9238, 540, 519, 3301, 630, 6011, 547, 1921, 547, 519, 8773, 267, 875, 547, 14202, 519, 3009, 267, 875, 547, 1569, 519, 3009, 2899, 621, 4991, 547, 519, 8773, 1070, 855, 519, 4890, 5752, 568, 1360, 2653, 563, 3963, 1020, 513, 21370, 6749, 543, 8749, 1604, 585, 681, 15477, 5588, 290, 888, 2026, 649, 7903, 5752, 547, 7820, 543, 7820, 1053, 267, 649, 991, 547, 2333, 519, 1489, 585, 1007, 23501, 269, 901, 4528, 540, 681, 15477, 5588, 290, 21934, 9529, 1565, 5752, 676, 9427, 16105, 543, 676, 2870, 1007, 267, 2653, 547, 946, 3252, 585, 1312, 14628, 543, 6552, 1852, 3292, 269, 4841, 616, 2111, 547, 3533, 1628, 5615, 899, 4464, 267, 18807, 267, 9095, 1228, 610, 7382, 6944, 1503, 1510, 20468, 827, 12931, 565, 976, 267, 25329, 267, 543, 23049, 269, 1284, 3494, 602, 713, 1377, 540, 1489, 786, 5512, 873, 547, 5855, 827, 7954, 543, 2596, 5690, 1646, 1510, 20468, 827, 5752, 3889, 563, 1692, 1454, 3593, 1852, 1281, 519, 1007, 681, 15477, 5588, 290, 8641, 673, 3301, 1331, 888, 5978, 3804, 568, 547, 1020, 606, 2653, 547, 946, 1852, 1604, 602, 2488, 519, 1697, 1377, 540, 21934, 13783, 585, 1007, 23501, 269, 681, 15477, 5588, 290, 779, 5752, 5054, 4867, 1376, 609, 681, 15477, 5588, 290, 8641, 673, 267, 1287, 681, 15477, 5588, 290, 7849, 5678, 267, 543, 1287, 2407, 681, 15477, 5588, 290, 269, 2060, 519, 1007, 8641, 673, 5678, 1053, 616, 2111, 547, 1451, 827, 1585, 5752, 3889, 543, 7954, 630, 6112, 267, 952, 267, 952, 270, 12828, 267, 7227, 29128, 267, 543, 649, 3773, 10956, 267, 543, 10956, 29128, 264, 543, 789, 666, 1569, 9300, 5955, 1210, 519, 1007, 968, 1326, 306, 16428, 19368, 892, 12981, 630, 328, 4318, 269, 1205, 294, 344, 549, 306, 16428, 291, 1122, 4181, 267, 1205, 300, 19318, 21886, 18344, 19368, 267, 3092, 4700, 855, 789, 786, 711, 581, 2111, 547, 1711, 543, 2328, 547, 741, 1378, 4632, 267, 1780, 6724, 267, 610, 1711, 3252, 563, 2791, 666, 4647, 519, 3301, 1934, 281, 5291, 2517, 4178, 269, 13681, 582, 322, 14492, 17320, 1429, 673, 13045, 2791, 666, 4647, 513, 3593, 3391, 1934, 281, 5291, 2517, 13681, 582, 322, 4732, 274, 269, 600, 7571, 9155, 2593, 9706, 4206, 338, 270, 2507, 304, 27165, 10817, 728, 15005, 454, 4517, 2638, 719, 519, 5816, 1934, 281, 5291, 2517, 4178, 269, 13681, 582, 322, 14492, 270, 24108, 270, 1001, 275, 270, 6349, 270, 273, 2507, 327, 673, 1790, 516, 1613, 13045, 1103, 1175, 513, 7008, 540, 4374, 519, 1007, 8641, 673, 5678, 786, 849, 960, 593, 966, 13052, 23634, 1410, 11608, 563, 8923, 2285, 721, 5955, 827, 938, 1007, 3301, 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 ]
[ 676, 8066, 707, 13514, 585, 513, 3476, 1974, 269, 901, 666, 948, 519, 4887, 6633, 856, 1247, 11319, 707, 1560, 2509, 9854, 543, 4929, 4887, 11103, 547, 12701, 267, 4929, 2281, 547, 7941, 607, 789, 12115, 563, 299, 1077, 13262, 20946, 543, 589, 6153, 28239, 609, 18639, 454, 6097, 547, 2090, 267, 10649, 814, 8810, 547, 581, 6225, 538, 16715, 2566, 10399, 538, 938, 4703, 269, 898, 849, 8195, 4679, 2634, 6464, 1572, 1439, 6973, 1231, 543, 717, 29866, 267, 1634, 607, 519, 6126, 6464, 267, 607, 789, 948, 2087, 7099, 543, 6175, 4160, 563, 289, 1248, 2836, 1559, 609, 18639, 454, 26807, 10649, 7158, 666, 948, 596, 6633, 8477, 543, 6336, 3170, 269, 15742, 2010, 540, 10649, 948, 6633, 3170, 267, 585, 3236, 267, 645, 1731, 1090, 10649, 799, 568, 1419, 9833, 607, 7920, 543, 1648, 1532, 9506, 10649, 1317, 540, 519, 12699, 4055, 269, 6271, 1826, 540, 10649, 602, 2337, 6633, 8477, 568, 966, 4176, 14505, 267, 799, 3340, 811, 1648, 563, 20236, 5025, 16346, 538, 18639, 2052, 8048, 1411, 547, 13245, 14856, 454, 763, 3119, 3483, 540, 10649, 568, 547, 1831, 811, 3222, 540, 3054, 269, 1879, 606, 1367, 779, 1582, 18221, 4679, 267, 4189, 2623, 2242, 666, 581, 14754, 269, 4340, 547, 513, 1867, 267, 1004, 945, 9846, 2259, 10649, 4043, 547, 1039, 8902, 1426, 3688, 547, 741, 11326, 543, 2057, 4189, 1426, 3688, 602, 616, 5739, 547, 741, 1072, 563, 2171, 782, 723, 4862, 519, 8360, 267, 2048, 16591, 1919, 1491, 942, 685, 950, 621, 2501, 547, 10649, 282, 596, 991, 547, 581, 3461, 543, 5812, 607, 2597, 2530, 543, 4657, 6208, 949, 1491, 930, 942, 269, 634, 2164, 616, 4502, 519, 7227, 543, 4674, 267, 607, 10649, 949, 581, 519, 10700, 1883, 547, 782, 707, 1072, 2042, 269, 17006, 10649, 2853, 547, 3232, 13467, 814, 8810, 547, 581, 513, 1272, 17038, 18146, 3375, 538, 1004, 779, 2729, 269, 898, 814, 5280, 873, 538, 1585, 2081, 269, 898, 6001, 525, 543, 2488, 4708, 267, 2059, 609, 4180, 519, 1072, 540, 707, 2949, 1134, 5630, 269, 1403, 596, 616, 3168, 585, 4443, 2081, 547, 6336, 2597, 267, 8026, 10649, 568, 519, 10700, 3070, 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 ]
[ 1218, 1860, 519, 2518, 1216, 543, 3327, 9979, 676, 22212, 741, 1216, 946, 543, 3327, 6981, 538, 3210, 547, 3037, 7509, 269, 6820, 2916, 3631, 2099, 713, 3210, 609, 2901, 2241, 12170, 3631, 610, 1950, 2168, 3631, 269, 1284, 7866, 602, 519, 8545, 10607, 11236, 538, 2371, 609, 1804, 2095, 4187, 282, 2705, 267, 4946, 13829, 593, 11626, 7509, 3747, 547, 519, 5449, 13292, 2773, 540, 519, 8545, 267, 3056, 547, 513, 1007, 1907, 585, 5355, 3327, 543, 1216, 4783, 11236, 563, 300, 7559, 7395, 30445, 6511, 2782, 614, 267, 7812, 2349, 1170, 590, 5424, 267, 4460, 744, 269, 595, 3578, 6975, 267, 11023, 21662, 267, 23765, 918, 269, 595, 11336, 267, 681, 3912, 17939, 987, 1512, 267, 543, 3627, 853, 7578, 454, 22134, 1503, 269, 3047, 5204, 560, 269, 2233, 1421, 476, 1839, 267, 476, 4391, 272, 274, 1700, 4391, 273, 280, 267, 14112, 5758, 454, 4504, 839, 1881, 15018, 540, 3037, 543, 31922, 10664, 568, 9870, 519, 1764, 540, 3595, 10335, 543, 6708, 538, 8828, 4993, 269, 2755, 536, 27547, 31922, 568, 513, 1455, 8289, 1282, 519, 3819, 4005, 267, 713, 1353, 814, 3254, 602, 972, 568, 513, 14733, 6521, 538, 519, 12557, 540, 6845, 525, 12412, 267, 1813, 547, 4657, 2916, 2175, 7957, 1681, 7646, 518, 5162, 5210, 543, 2799, 13247, 13260, 269, 17164, 566, 949, 581, 3908, 538, 922, 2702, 547, 3082, 547, 891, 10593, 267, 607, 10980, 5712, 1831, 811, 7928, 563, 300, 1731, 6130, 717, 4068, 325, 1779, 267, 667, 23152, 1492, 570, 28856, 331, 3530, 267, 22365, 14551, 670, 1074, 601, 10458, 267, 700, 6511, 5336, 541, 773, 918, 7795, 548, 10458, 267, 26826, 8055, 267, 12049, 2725, 1512, 267, 3057, 1723, 623, 269, 2494, 9508, 267, 543, 18281, 27804, 3149, 2421, 454, 22134, 1503, 269, 3047, 5204, 560, 269, 2233, 1421, 476, 1839, 267, 476, 3607, 274, 276, 1700, 18458, 273, 267, 14112, 5758, 454, 2171, 1031, 513, 911, 1356, 8584, 3660, 10357, 5139, 25233, 2203, 547, 22945, 1216, 13441, 1700, 560, 4392, 1700, 720, 4205, 585, 1614, 4683, 10664, 2010, 281, 4054, 267, 21906, 543, 6371, 269, 634, 2203, 2164, 4951, 602, 19705, 582, 4920, 17508, 2799, 538, 519, 1931, 21906, 2999, 6371, 2999, 4054, 1282, 835, 3395, 4005, 269, 3958, 267, 649, 1223, 1397, 875, 454, 8882, 2830, 1674, 28326, 26105, 920, 730, 676, 20359, 689, 20177, 5196, 3543, 730, 7252, 666, 3986, 1312, 19705, 582, 4920, 17508, 543, 15780, 22507, 563, 312, 5024, 18708, 267, 7033, 681, 269, 5062, 309, 545, 541, 267, 29861, 523, 18708, 267, 962, 784, 336, 21628, 18681, 267, 1744, 559, 784, 623, 26820, 267, 1744, 25775, 623, 1263, 267, 543, 670, 2643, 651, 661, 269, 23894, 454, 22134, 1503, 269, 3047, 5204, 560, 269, 2233, 1421, 476, 1839, 267, 476, 30130, 272, 1700, 31079, 278, 267, 14112, 5758, 454, 1607, 1353, 2919, 606, 10763, 10357, 5139, 25233, 2203, 602, 15109, 1614, 3344, 540, 10664, 3210, 547, 552, 4596, 273, 630, 328, 4318, 1421, 588, 558, 7614, 3210, 267, 700, 9590, 3210, 267, 543, 3597, 532, 3178, 3210, 264, 547, 3713, 519, 1764, 540, 552, 4596, 273, 593, 18626, 20359, 936, 519, 2250, 476, 274, 5756, 11451, 269, 3776, 4681, 2303, 513, 5634, 1909, 540, 552, 4596, 273, 593, 519, 2518, 20359, 2242, 267, 2943, 5031, 519, 2942, 20359, 1700, 324, 4596, 273, 3210, 538, 5033, 3511, 573, 543, 25545, 4525, 799, 949, 2417, 21279, 519, 3908, 1216, 4199, 972, 563, 312, 534, 17427, 20568, 267, 14844, 534, 1408, 631, 269, 4591, 16379, 2006, 267, 543, 5981, 18588, 717, 269, 23951, 902, 454, 22134, 1503, 269, 3047, 5204, 560, 269, 2233, 1421, 476, 1839, 267, 476, 26839, 280, 1700, 25240, 278, 267, 14112, 5758, 454, 763, 2095, 540, 1216, 998, 2371, 9775, 609, 2249, 10391, 7592, 269, 1677, 3313, 875, 789, 4268, 2066, 519, 1158, 267, 649, 25528, 519, 7592, 602, 1655, 4847, 513, 2203, 547, 6474, 17196, 9682, 1239, 269, 1284, 849, 3989, 3328, 2418, 2066, 513, 1906, 13421, 540, 16023, 2623, 269, 1452, 1106, 513, 8778, 762, 3070, 585, 946, 538, 1804, 8397, 3631, 269, 3690, 17508, 9193, 1210, 891, 13421, 941, 811, 4977, 982, 952, 1210, 2030, 6198, 2010, 269, 1284, 2503, 938, 7851, 547, 2087, 1098, 17508, 23004, 563, 288, 16336, 8055, 267, 1684, 1068, 515, 570, 28856, 331, 3530, 267, 700, 4157, 553, 21890, 710, 267, 3057, 1723, 2494, 9508, 267, 543, 18281, 27804, 3149, 2421, 454, 22134, 1503, 269, 3047, 5204, 560, 269, 2233, 1421, 476, 1839, 267, 476, 23417, 280, 1700, 18597, 280, 267, 14112, 5758, 454, 2171, 1031, 513, 911, 1356, 8584, 3660, 10357, 5139, 25233, 2203, 593, 513, 6404, 2244, 946, 6952, 618, 538, 27040, 5125, 547, 22945, 1216, 13441, 1700, 560, 4392, 1700, 720, 4205, 693, 2185, 2203, 7470, 21368, 269, 634, 2203, 781, 2702, 547, 16196, 22883, 1470, 2389, 32294, 13441, 1700, 560, 4392, 1700, 720, 4205, 11081, 609, 2810, 2203, 7470, 7306, 269, 6684, 267, 3677, 2203, 21870, 4951, 10664, 19899, 1663, 10642, 2242, 538, 4544, 543, 3039, 1216, 15652, 532, 269, 3244, 2827, 7866, 519, 1871, 540, 6027, 3037, 543, 6908, 24745, 585, 2203, 23363, 563, 312, 31441, 17921, 267, 30721, 325, 836, 18681, 267, 2473, 807, 2129, 7699, 1284, 328, 267, 1744, 597, 784, 20568, 267, 1627, 21628, 9149, 267, 570, 6359, 24926, 595, 2967, 267, 654, 523, 10623, 328, 20568, 267, 14840, 336, 328, 2098, 29697, 267, 543, 2473, 21628, 345, 16852, 334, 20568, 454, 22134, 1503, 269, 3047, 5204, 560, 269, 2233, 1421, 476, 1839, 267, 476, 13893, 278, 1700, 16409, 277, 267, 14112, 5758, 454, 292, 1723, 5139, 25233, 8417, 267, 3989, 607, 519, 3210, 8515, 540, 6908, 6503, 547, 10664, 1689, 267, 6920, 519, 3289, 25233, 8417, 547, 10664, 1689, 269, 634, 1353, 7000, 12119, 10357, 5139, 25233, 22740, 8481, 941, 3810, 4756, 267, 4470, 593, 2916, 2783, 543, 24659, 10305, 269, 16959, 4005, 10357, 5139, 25233, 8417, 729, 6140, 5462, 676, 27177, 267, 3037, 543, 10664, 267, 1247, 6632, 4005, 10357, 5139, 25233, 8417, 729, 5631, 6417, 676, 3037, 267, 5251, 543, 10664, 563, 306, 784, 12505, 24204, 267, 15173, 2473, 10224, 1684, 267, 15751, 594, 269, 808, 269, 631, 269, 8709, 4144, 329, 330, 267, 19162, 681, 269, 20607, 267, 3212, 597, 784, 6931, 267, 543, 4460, 808, 269, 26366, 731, 454, 22134, 1503, 269, 3047, 5204, 560, 269, 2233, 1421, 476, 2190, 267, 476, 276, 2767, 280, 1700, 276, 3066, 276, 267, 14112, 5758, 454, 2467, 568, 513, 3395, 1719, 11451, 538, 519, 8901, 3892, 543, 13796, 6384, 540, 23557, 1836, 13576, 12535, 543, 8933, 269, 1284, 2919, 606, 1935, 547, 22945, 6952, 618, 17253, 2095, 954, 2466, 1084, 1097, 936, 1279, 942, 14604, 269, 3525, 8215, 3270, 540, 2095, 954, 2466, 1084, 1097, 538, 9456, 5245, 7000, 3810, 6422, 7180, 538, 2230, 543, 942, 269, 634, 2919, 1935, 568, 4483, 762, 547, 824, 2694, 540, 519, 1158, 543, 666, 1217, 8652, 268, 1815, 1670, 1620, 543, 2359, 540, 26740, 12535, 563, 301, 520, 26474, 5839, 289, 6756, 267, 21651, 700, 269, 8845, 267, 11835, 601, 589, 269, 645, 1221, 9007, 267, 21965, 12228, 331, 2946, 267, 12832, 15614, 966, 340, 747, 731, 267, 3397, 333, 11726, 338, 667, 1276, 541, 928, 267, 7338, 30709, 321, 267, 17939, 2088, 667, 648, 267, 3057, 1097, 22175, 341, 752, 267, 543, 6424, 808, 269, 623, 269, 18703, 454, 22134, 1503, 269, 3047, 5204, 560, 269, 2233, 1421, 476, 2190, 267, 476, 26392, 274, 1700, 276, 2537, 271, 2676, 312, 639, 523, 962, 10224, 267, 570, 9820, 26907, 13660, 267, 15173, 331, 836, 15651, 267, 543, 700, 1460, 514, 15651, 454, 22134, 1503, 269, 3047, 5204, 560, 269, 2233, 1421, 476, 2190, 267, 476, 4510, 280, 272, 1700, 14596, 272, 267, 14112, 5758, 454, 763, 13666, 8084, 5888, 540, 19355, 1216, 11517, 568, 606, 1271, 2707, 540, 11626, 1216, 11517, 543, 814, 711, 1044, 2111, 547, 581, 6059, 547, 4266, 1210, 519, 3223, 9934, 4729, 1935, 269, 3371, 649, 6069, 1079, 1007, 2409, 547, 7447, 519, 13666, 8084, 5888, 540, 19355, 1216, 11517, 281, 835, 1210, 519, 10167, 1448, 1505, 543, 1776, 13461, 593, 519, 13591, 1871, 11532, 563, 11749, 550, 514, 21676, 341, 516, 584, 267, 1411, 686, 681, 1054, 325, 1380, 267, 674, 2946, 997, 1329, 2725, 684, 1512, 267, 774, 1512, 787, 645, 926, 659, 267, 10218, 324, 645, 1241, 267, 14639, 6441, 537, 529, 667, 3120, 526, 267, 4793, 878, 807, 9400, 267, 543, 4569, 24586, 808, 822, 14513, 454, 22134, 1503, 269, 3047, 5204, 560, 269, 2233, 1421, 476, 2190, 267, 476, 25134, 278, 1700, 28906, 276, 267, 14112, 5758, 454, 3674, 582, 8084, 21458, 540, 3037, 1216, 568, 513, 17618, 1031, 1907, 585, 16439, 519, 5169, 540, 1216, 13939, 676, 2371, 543, 7384, 3597, 1216, 19718, 630, 305, 310, 308, 264, 12632, 609, 1617, 529, 1830, 11544, 3631, 269, 769, 713, 1353, 267, 649, 1397, 875, 513, 1505, 971, 607, 713, 949, 3765, 6247, 4902, 942, 3126, 540, 1535, 1803, 332, 1216, 13666, 8084, 5888, 607, 519, 13796, 6384, 540, 681, 310, 308, 676, 1138, 6819, 1239, 6394, 1282, 513, 7381, 535, 525, 26443, 29127, 582, 1258, 4603, 609, 606, 24236, 10276, 12574, 2168, 3037, 1700, 10174, 2203, 8051, 585, 13260, 538, 3597, 7592, 563, 1320, 756, 5435, 8065, 537, 514, 267, 7812, 25362, 523, 267, 543, 674, 328, 778, 571, 661, 269, 744, 262, 299, 965, 4802, 454, 22134, 1503, 269, 3047, 5204, 560, 269, 2233, 1421, 476, 2190, 267, 476, 9818, 272, 1700, 10755, 275, 267, 14112, 5758, 454, 288, 3289, 25233, 2203, 729, 1031, 547, 5635, 1114, 9936, 5314, 2994, 538, 2070, 540, 17782, 3235, 10999, 4143, 6908, 6503, 17523, 538, 476, 3451, 9721, 6952, 906, 269, 22702, 585, 476, 1691, 1114, 5712, 267, 513, 4640, 17501, 20533, 543, 4767, 6908, 6503, 17523, 26857, 1732, 2773, 982, 17501, 20533, 543, 4767, 6908, 6503, 267, 855, 621, 849, 26857, 513, 1447, 5812, 26254, 540, 9936, 5036, 267, 11021, 602, 891, 17523, 949, 711, 581, 3289, 6331, 1227, 4143, 585, 2203, 9936, 5314, 563, 27144, 715, 269, 28226, 267, 3627, 654, 269, 623, 9593, 1195, 267, 543, 18039, 654, 269, 6742, 345, 454, 22134, 1503, 269, 3047, 5204, 560, 269, 2233, 1421, 476, 2537, 267, 476, 4366, 280, 272, 1700, 275, 3445, 278, 267, 14112, 5758, 454, 19445, 543, 8143, 2592, 3144, 2282, 544, 1342, 599, 941, 1031, 547, 4336, 3232, 1448, 7422, 540, 1883, 2188, 6117, 4890, 17272, 777, 2610, 9193, 2066, 513, 1950, 8225, 16217, 21961, 5251, 269, 8672, 9193, 540, 4890, 21381, 8815, 1134, 609, 4767, 2418, 3842, 1196, 11276, 31809, 269, 28620, 540, 8901, 7648, 593, 616, 531, 9193, 941, 5634, 267, 543, 1100, 31809, 729, 1336, 1063, 2203, 6724, 6117, 519, 1648, 2165, 269, 634, 2409, 666, 581, 4294, 2417, 547, 2087, 2244, 2627, 9936, 31907, 563, 313, 327, 784, 330, 2967, 9149, 267, 13535, 20568, 267, 654, 20044, 6062, 2098, 29697, 267, 1627, 12011, 826, 18708, 267, 681, 784, 18708, 267, 543, 808, 842, 7776, 20568, 454, 22134, 1503, 269, 3047, 5204, 560, 269, 2233, 1421, 476, 2537, 267, 476, 5379, 279, 276, 1700, 30420, 277, 267, 14112, 5758, 454, 288, 6538, 540, 3037, 7509, 7403, 689, 519, 1647, 1261, 328, 515, 5211, 16935, 540, 3624, 729, 1031, 547, 1449, 519, 1761, 540, 513, 3037, 7509, 6538, 538, 21501, 519, 3037, 1216, 3666, 3334, 630, 14684, 6195, 338, 1040, 1284, 5462, 17335, 6195, 338, 1210, 513, 1505, 602, 5916, 519, 3037, 1216, 3666, 1505, 543, 519, 11201, 27672, 3830, 269, 901, 960, 9672, 602, 5266, 10257, 3934, 725, 540, 519, 17335, 6195, 338, 538, 21432, 17856, 3293, 22501, 11934, 666, 581, 6508, 1210, 3037, 7509, 7403, 563, 1103, 17845, 338, 717, 2345, 3057, 13196, 267, 11835, 14244, 715, 2444, 2939, 334, 267, 681, 7534, 631, 269, 9315, 657, 334, 267, 8606, 6559, 20353, 340, 2946, 985, 267, 12756, 1855, 25564, 9473, 612, 334, 632, 9253, 334, 267, 31883, 631, 269, 631, 269, 1924, 4100, 267, 595, 2946, 20377, 631, 269, 717, 537, 557, 807, 267, 543, 595, 4331, 27956, 345, 645, 5184, 454, 22134, 1503, 269, 3047, 5204, 560, 269, 2233, 1421, 476, 2537, 267, 476, 31134, 276, 1700, 28307, 273, 267, 14112, 5758, 454, 8469, 10882, 524, 1251, 3574, 4133, 616, 1360, 1880, 29436, 1150, 2722, 1949, 1459, 538, 513, 16876, 1858, 540, 519, 11335, 19438, 269, 1358, 616, 540, 1390, 2956, 1813, 547, 741, 1164, 14227, 1871, 282, 2705, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17663, 513, 2890, 12555, 1062, 2059, 609, 519, 2640, 630, 516, 706, 1027, 1216, 6165, 267, 4389, 1761, 585, 1165, 3511, 3676, 267, 4389, 1648, 3790, 267, 3092, 4700, 543, 19363, 891, 2539, 2604, 1949, 1683, 563, 1607, 942, 540, 1032, 15470, 568, 3808, 547, 562, 760, 1875, 3620, 731, 344, 2371, 1869, 13964, 269, 1403, 596, 723, 1022, 540, 519, 13035, 968, 12712, 2125, 892, 630, 17852, 799, 1332, 689, 15123, 1506, 4859, 3889, 1256, 952, 789, 5749, 1406, 20248, 3020, 15620, 264, 596, 3580, 991, 547, 1205, 1346, 883, 4859, 585, 519, 5162, 4166, 269, 4855, 856, 811, 827, 8600, 891, 2371, 547, 4688, 585, 519, 1985, 3395, 4005, 538, 713, 2376, 7498, 10673, 1406, 899, 519, 1413, 540, 4496, 610, 5068, 30367, 267, 855, 596, 991, 547, 2709, 930, 1489, 585, 513, 1906, 1166, 641, 6853, 5993, 338, 610, 17506, 10118, 286, 1215, 827, 1210, 929, 684, 902, 689, 707, 13452, 610, 11992, 547, 798, 519, 2816, 538, 606, 13016, 1259, 286, 6258, 811, 827, 713, 942, 3620, 517, 1819, 4480, 7498, 7069, 4224, 4677, 568, 1141, 519, 1101, 17506, 10118, 267, 824, 982, 15620, 267, 16036, 538, 1250, 13452, 269, 3367, 827, 513, 1906, 540, 1250, 29202, 602, 616, 519, 1101, 547, 8768, 1142, 5614, 269, 11153, 540, 891, 1810, 1406, 991, 547, 581, 11658, 547, 18574, 569, 11934, 543, 1131, 581, 513, 1434, 1840, 547, 513, 1507, 4336, 8473, 1141, 789, 666, 581, 15874, 909, 2673, 269, 6423, 891, 20036, 2371, 593, 4159, 538, 713, 2376, 2507 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1192, 539, 2619, 1063, 891, 1079, 2798, 267, 1863, 689, 2168, 6188, 15297, 899, 5656, 267, 4054, 267, 610, 1713, 14099, 2934, 563, 7659, 22020, 540, 10753, 306, 5769, 912, 268, 3690, 2466, 614, 281, 634, 2707, 540, 519, 29577, 5365, 267, 1419, 4092, 593, 11506, 3889, 547, 11694, 3795, 563, 268, 25547, 1853, 281, 589, 7463, 19215, 4092, 693, 519, 3593, 779, 22402, 267, 2966, 547, 4309, 519, 5365, 689, 519, 31092, 563, 268, 15571, 31515, 281, 4400, 23151, 6329, 602, 4163, 519, 4950, 1239, 1063, 519, 31092, 543, 17513, 563, 26794, 540, 7412, 540, 590, 697, 5769, 454, 289, 5802, 7171, 7457, 538, 22647, 19791, 454, 3080, 540, 519, 1034, 1713, 2640, 540, 10753, 306, 5769, 568, 922, 2702, 547, 1683, 1164, 18286, 4950, 1569, 547, 6917, 543, 6552, 2127, 267, 1141, 18413, 6775, 610, 10814, 568, 711, 14323, 1813, 547, 10923, 2591, 610, 1164, 3790, 563, 15253, 1563, 547, 2757, 29040, 4950, 1102, 2858, 23461, 267, 10753, 306, 5769, 666, 581, 18611, 3533, 269, 4495, 513, 3844, 6771, 1448, 568, 3964, 267, 3755, 1369, 519, 1899, 540, 8289, 666, 581, 4448, 547, 519, 4950, 676, 3274, 16459, 513, 17513, 563, 8601, 519, 12616, 2470, 540, 519, 2029, 267, 10753, 306, 5769, 666, 2709, 11250, 13380, 547, 667, 20784, 543, 10814, 4950, 267, 1818, 621, 5078, 585, 513, 2647, 2039, 540, 2228, 2238, 267, 1519, 18297, 267, 11080, 267, 543, 3381, 1476, 17182, 563, 13706, 725, 543, 7799, 14591, 454, 4407, 7412, 540, 590, 697, 5769, 6799, 513, 8903, 4781, 585, 1082, 3755, 267, 972, 616, 930, 9270, 912, 268, 8447, 26861, 15297, 281, 634, 7887, 4161, 568, 4180, 513, 2312, 1899, 540, 8289, 269, 26861, 15297, 899, 4054, 267, 5656, 267, 543, 14099, 666, 15936, 609, 519, 5365, 267, 18363, 519, 2298, 540, 519, 4276, 563, 268, 16661, 11576, 6638, 281, 26184, 4365, 2175, 267, 971, 607, 5230, 4764, 610, 20893, 267, 666, 1860, 5365, 4222, 543, 10727, 267, 1498, 8441, 538, 2029, 616, 16111, 19086, 891, 2360, 563, 268, 20028, 7799, 14591, 281, 634, 2500, 2039, 540, 10753, 306, 5769, 568, 3335, 3908, 547, 827, 476, 1015, 5195, 689, 519, 31092, 267, 4352, 713, 666, 4268, 1759, 593, 519, 1808, 2029, 543, 3937, 1031, 563, 763, 8892, 540, 7412, 540, 590, 697, 5769, 454, 2026, 2029, 8441, 267, 519, 1761, 585, 7412, 540, 590, 697, 5769, 547, 2673, 519, 3059, 7941, 9428, 269, 11627, 725, 538, 5365, 4393, 267, 19215, 1374, 267, 543, 4908, 2359, 616, 16111, 9750, 519, 3914, 267, 10727, 267, 543, 3432, 540, 10753, 306, 4296, 269, 5015, 267, 607, 519, 3747, 585, 8471, 4950, 1569, 4679, 267, 10753, 306, 5769, 3788, 513, 2629, 2029, 585, 8220, 9207, 5703, 2950, 267, 5807, 3872, 3255, 267, 543, 5885, 2804, 1646, 538, 6552, 2127, 563, 1103, 5758, 267, 7412, 540, 590, 697, 5769, 3091, 513, 4052, 3070, 585, 1164, 18286, 29577, 1569, 538, 2127, 3564, 519, 3914, 540, 2757, 29040, 2533, 269, 2060, 922, 2702, 547, 1683, 4028, 17293, 543, 14479, 538, 4101, 5054, 267, 10753, 306, 5769, 4249, 513, 11358, 1909, 538, 28043, 519, 2518, 14479, 7934, 269, 0, 8368, 540, 12937, 454, 24426, 828, 9798, 568, 513, 3905, 1888, 891, 2395, 267, 609, 1082, 6880, 3430, 2931, 13389, 1312, 3906, 543, 2043, 269, 2290, 540, 519, 1292, 4323, 10321, 6880, 322, 3234, 10904, 946, 568, 26122, 269, 1912, 5109, 568, 513, 1826, 540, 1514, 4702, 4323, 1141, 20737, 6494, 17351, 15737, 30286, 607, 513, 16048, 1268, 610, 3919, 547, 1349, 6213, 1344, 689, 741, 9072, 563, 8266, 540, 7073, 1912, 5109, 9828, 454, 4942, 5109, 814, 7960, 998, 519, 1296, 267, 4742, 5051, 10427, 543, 2182, 547, 3713, 269, 3371, 616, 519, 1292, 2413, 26122, 2553, 596, 1058, 917, 875, 547, 5431, 912, 12892, 9012, 1912, 5109, 454, 4407, 12926, 267, 1034, 26122, 11044, 723, 1044, 13401, 3842, 4757, 267, 972, 779, 1044, 513, 2487, 10006, 538, 26122, 998, 2442, 1514, 2923, 5121, 269, 31105, 619, 1711, 16995, 6589, 593, 5867, 899, 17749, 543, 9365, 267, 2679, 873, 909, 547, 3100, 811, 16048, 936, 942, 269, 3973, 267, 789, 946, 891, 6589, 547, 2196, 741, 6093, 14565, 563, 3080, 2442, 1259, 31487, 946, 1514, 2923, 26122, 568, 676, 30286, 607, 10115, 575, 32203, 267, 3335, 538, 21888, 543, 2062, 343, 269, 1358, 1205, 16995, 13794, 543, 15055, 547, 2408, 16048, 543, 3811, 267, 1818, 621, 4443, 585, 5667, 639, 1051, 532, 9601, 547, 2887, 585, 741, 14767, 269, 6164, 1022, 5048, 7662, 6998, 596, 547, 1902, 538, 513, 2883, 4316, 609, 25949, 267, 2523, 952, 621, 14767, 1164, 7024, 609, 2370, 547, 1100, 1981, 563, 289, 4900, 518, 2987, 7308, 5174, 4900, 518, 630, 30531, 289, 264, 31105, 454, 23612, 18407, 2845, 1231, 616, 513, 10375, 4183, 585, 3755, 267, 3850, 873, 547, 1569, 1585, 2228, 2533, 3533, 1210, 741, 4540, 1514, 2923, 610, 4757, 6589, 269, 10251, 267, 713, 21189, 1505, 814, 849, 8507, 538, 519, 4332, 540, 513, 5266, 1007, 26122, 1505, 1107, 645, 4900, 518, 2987, 7308, 5174, 4900, 518, 563, 4415, 713, 4480, 267, 6880, 322, 3234, 10904, 16995, 519, 21189, 3817, 540, 2442, 4609, 899, 5616, 267, 9365, 267, 610, 9786, 269, 1924, 267, 950, 596, 4283, 707, 21189, 22754, 267, 789, 786, 979, 2047, 547, 519, 7803, 945, 2813, 519, 16995, 21189, 2985, 563, 3080, 1259, 547, 8396, 713, 3463, 568, 513, 10957, 9614, 267, 799, 786, 2638, 519, 13597, 540, 519, 15745, 596, 2461, 593, 543, 4465, 1406, 1577, 596, 946, 707, 22754, 8259, 789, 2461, 16048, 269, 6787, 596, 946, 25515, 610, 8837, 267, 10957, 9946, 616, 2139, 585, 596, 547, 4324, 689, 269, 4033, 5383, 540, 513, 10957, 9614, 1331, 519, 2702, 547, 5352, 2178, 18538, 543, 4558, 873, 18172, 543, 3533, 563, 4942, 5109, 568, 5631, 2404, 609, 2527, 4757, 11044, 13389, 6634, 540, 3755, 8195, 269, 2755, 713, 3884, 1406, 606, 2150, 4902, 4879, 267, 621, 6772, 23697, 1776, 1106, 540, 26122, 602, 779, 513, 3787, 1085, 926, 518, 269, 4325, 541, 26122, 568, 513, 811, 10427, 4323, 1141, 519, 6880, 322, 3234, 10904, 3077, 1808, 3906, 267, 2516, 267, 543, 2043, 269, 26532, 18590, 568, 513, 2462, 851, 540, 713, 4323, 267, 609, 519, 20737, 7836, 2395, 267, 952, 711, 3275, 267, 15388, 741, 6408, 543, 1135, 5109, 741, 1935, 563, 1607, 10531, 1935, 2306, 621, 811, 2352, 547, 5544, 519, 1085, 600, 267, 607, 519, 31487, 786, 3335, 917, 1344, 827, 596, 602, 3884, 1406, 11593, 2139, 563, 1692, 547, 13363, 23126, 888, 4263, 519, 1439, 540, 519, 1554, 267, 782, 26122, 1085, 4461, 616, 519, 1482, 269, 2755, 519, 1259, 789, 2461, 13401, 666, 4268, 267, 519, 4909, 4162, 3251, 519, 1482, 912, 268, 1133, 639, 783, 2631, 540, 23473, 454, 268, 28055, 338, 547, 1045, 5803, 11784, 538, 9601, 267, 4929, 873, 547, 957, 16420, 569, 454, 268, 26538, 610, 8239, 9073, 454, 268, 10671, 3949, 585, 6213, 1344, 602, 3884, 1406, 3335, 31889, 3842, 6049, 610, 4757, 454, 268, 15745, 338, 602, 1810, 1406, 6474, 519, 16048, 3135, 789, 3409, 547, 2099, 454, 268, 1955, 2787, 540, 16048, 27291, 543, 32107, 547, 2408, 8076, 454, 8855, 532, 543, 9301, 891, 4191, 786, 2061, 476, 4200, 260, 540, 26122, 8942, 269, 6271, 2629, 1900, 568, 7175, 5565, 6363, 18503, 24956, 1709, 630, 273, 11902, 264, 585, 782, 707, 1292, 6589, 269, 901, 1259, 267, 1256, 952, 21190, 3489, 707, 21189, 22754, 267, 789, 4465, 1406, 581, 2111, 547, 1569, 707, 6589, 1510, 30260, 741, 3961, 563, 8794, 513, 19504, 547, 16473, 1912, 5109, 454, 288, 14044, 17721, 8416, 630, 309, 14149, 264, 568, 606, 2500, 1907, 538, 707, 14590, 19070, 531, 547, 2061, 26122, 269, 898, 2488, 606, 3063, 4494, 540, 3354, 676, 17278, 532, 707, 4950, 4276, 543, 9633, 532, 707, 7379, 2232, 269, 901, 2306, 621, 9875, 585, 6880, 322, 3234, 10904, 547, 3950, 707, 2228, 2238, 610, 3077, 596, 609, 3358, 26122, 8942, 1759, 593, 707, 4087, 610, 19855, 1686, 563, 12234, 267, 930, 19504, 2533, 2709, 3710, 2987, 3354, 2934, 971, 607, 26122, 12086, 543, 17351, 3135, 17527, 267, 799, 666, 30082, 24633, 596, 827, 543, 2061, 1569, 547, 1634, 26122, 7270, 563, 15703, 1007, 26122, 1085, 4461, 723, 13856, 519, 1158, 540, 6880, 13062, 830, 538, 2487, 1296, 269, 27725, 619, 723, 4362, 602, 3425, 616, 3335, 519, 4617, 652, 3095, 543, 2484, 4443, 547, 17908, 982, 1603, 10427, 18453, 3009, 563, 16605, 538, 2247, 602, 891, 2553, 616, 7683, 9687, 269, 634, 1655, 8878, 568, 547, 3251, 8242, 593, 519, 5767, 6937, 543, 4188, 707, 14590, 18879, 9935, 269, 0, 18698, 12409, 14691, 24601, 454, 1103, 519, 6422, 5251, 540, 2069, 267, 519, 12760, 540, 2029, 543, 1565, 814, 2016, 4473, 547, 3872, 5752, 9035, 269, 1452, 9035, 979, 3564, 2757, 3450, 2409, 267, 3246, 513, 2189, 543, 2502, 3760, 585, 6267, 547, 5490, 883, 519, 1158, 540, 5752, 1247, 16565, 3407, 1983, 269, 2913, 779, 7832, 593, 513, 3460, 547, 2263, 519, 23429, 2833, 602, 3872, 5752, 9035, 2709, 563, 11328, 5562, 4804, 15107, 13257, 281, 4414, 1030, 1456, 4065, 454, 14807, 1049, 5752, 9035, 15407, 7317, 1565, 5867, 547, 28196, 710, 519, 3872, 1995, 269, 1452, 5867, 1683, 6422, 5054, 1141, 6267, 8362, 4497, 609, 8193, 2035, 998, 3946, 6823, 2238, 267, 2591, 267, 543, 3785, 269, 1635, 13321, 2069, 883, 513, 1391, 585, 1702, 267, 891, 9035, 1118, 519, 1565, 1184, 711, 1152, 13181, 855, 849, 11791, 563, 295, 1343, 268, 4002, 32017, 16709, 281, 4804, 676, 23560, 454, 288, 10689, 5658, 540, 3872, 5752, 9035, 568, 519, 8561, 593, 3946, 6823, 8193, 3408, 269, 5502, 540, 12809, 1565, 267, 5171, 8362, 23365, 2933, 538, 8193, 5751, 543, 3785, 269, 901, 3946, 6823, 1935, 2636, 6267, 547, 9787, 8193, 3741, 676, 7311, 873, 538, 1483, 8996, 7653, 267, 5807, 513, 4514, 1620, 543, 7071, 585, 519, 1148, 540, 5752, 563, 24478, 2032, 607, 513, 4804, 15484, 281, 15332, 8943, 454, 14807, 1049, 5752, 9035, 5431, 602, 8193, 568, 711, 1175, 827, 16105, 543, 6620, 282, 621, 779, 513, 1106, 540, 3860, 4082, 269, 1452, 9035, 5000, 6267, 547, 2070, 8193, 607, 513, 1907, 585, 5876, 267, 7175, 873, 547, 1374, 543, 1628, 3785, 602, 2992, 741, 2189, 2093, 269, 901, 8561, 593, 5876, 21810, 8193, 689, 513, 2930, 5578, 547, 513, 3532, 1797, 540, 1582, 22325, 563, 19370, 4149, 6295, 12694, 281, 715, 4669, 1005, 11879, 15154, 454, 1103, 519, 7706, 540, 3872, 5752, 9035, 267, 1966, 9010, 568, 693, 519, 21282, 269, 19893, 7237, 2591, 602, 2154, 873, 547, 1589, 9691, 267, 5659, 3871, 267, 543, 28433, 3435, 269, 1452, 2591, 711, 1152, 3986, 8193, 1983, 855, 849, 20741, 2565, 3206, 5759, 267, 8600, 6267, 585, 519, 10848, 540, 1966, 9010, 538, 1585, 3344, 540, 741, 4081, 543, 3318, 2729, 563, 18600, 28131, 10241, 281, 20710, 3101, 7869, 543, 6657, 454, 14807, 1049, 5752, 9035, 8115, 519, 7934, 1063, 7811, 1702, 543, 1483, 8996, 3156, 269, 22996, 711, 1152, 1174, 8193, 2035, 855, 849, 2263, 875, 891, 2035, 616, 4294, 538, 4052, 7653, 269, 901, 4276, 547, 1483, 8996, 3156, 10597, 8223, 543, 9727, 519, 10083, 540, 5752, 1983, 538, 3309, 4610, 563, 3849, 28922, 4804, 11202, 338, 281, 29114, 1681, 4065, 547, 10572, 20126, 454, 28403, 1944, 519, 3309, 1565, 6163, 540, 5171, 267, 3872, 5752, 9035, 1419, 2308, 13261, 1565, 10092, 269, 901, 1935, 2636, 6267, 547, 3356, 693, 741, 1378, 10605, 267, 4180, 602, 1142, 1367, 666, 9787, 8193, 2035, 1354, 3001, 593, 547, 811, 4359, 3584, 269, 634, 10531, 1565, 1995, 8383, 919, 1114, 1565, 11250, 543, 6163, 563, 30655, 894, 4804, 18877, 281, 19663, 8625, 454, 6624, 3872, 5752, 9035, 6536, 10319, 1565, 2950, 269, 19893, 723, 519, 4316, 547, 4497, 609, 9905, 267, 2671, 2093, 267, 543, 12840, 593, 8193, 3785, 269, 901, 10319, 2460, 711, 1152, 10597, 519, 3872, 1995, 855, 849, 1128, 1571, 1271, 16542, 543, 2792, 1983, 267, 8600, 6267, 585, 10319, 18129, 538, 741, 2104, 4081, 543, 3318, 18697, 563, 16676, 6681, 4804, 9650, 3553, 281, 589, 17151, 13717, 17714, 454, 14807, 1049, 5752, 9035, 1128, 650, 513, 6024, 1565, 14820, 269, 1635, 1818, 1565, 606, 27093, 3460, 4904, 609, 2591, 543, 8906, 267, 891, 9035, 8300, 5171, 547, 9784, 513, 15400, 3460, 540, 1702, 11601, 269, 901, 14820, 4422, 3564, 8193, 267, 5935, 6267, 945, 616, 8049, 267, 22537, 267, 543, 11235, 547, 2263, 1007 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5160, 5439, 616, 3144, 856, 269, 901, 5160, 5439, 616, 2663, 8947, 896, 519, 17209, 543, 519, 1826, 540, 6084, 712, 568, 4362, 563, 303, 3789, 2506, 2153, 8751, 2762, 281, 8894, 1607, 5650, 568, 28020, 1634, 607, 27946, 11571, 269, 769, 713, 11571, 267, 513, 2027, 8254, 568, 17332, 998, 519, 9221, 543, 1585, 5961, 540, 519, 6084, 712, 616, 2919, 269, 13536, 891, 5961, 616, 8947, 676, 10647, 1896, 5773, 543, 519, 1826, 540, 6084, 712, 568, 8995, 563, 3086, 12997, 267, 20702, 2860, 7020, 814, 1831, 2653, 1813, 547, 1585, 1007, 2553, 7550, 538, 519, 5868, 540, 519, 6084, 712, 269, 1717, 267, 519, 1034, 1455, 2553, 1031, 585, 16326, 713, 6084, 712, 616, 18897, 659, 22000, 543, 623, 1068, 821, 22000, 269, 0, 1320, 9722, 543, 11059, 281, 589, 15465, 21887, 593, 8682, 7304, 1122, 1637, 1282, 7736, 4269, 13437, 20236, 30625, 9356, 606, 1367, 781, 3646, 547, 3142, 2623, 543, 3206, 883, 1899, 609, 1419, 29596, 5551, 3853, 269, 4438, 16608, 2534, 267, 1582, 30625, 3340, 606, 19002, 547, 3666, 741, 3432, 610, 1379, 3977, 14013, 547, 3035, 606, 6099, 1377, 540, 2773, 269, 25392, 602, 1312, 2623, 543, 3206, 616, 4295, 2609, 540, 1582, 30625, 267, 713, 2376, 2488, 513, 5042, 5133, 593, 519, 3157, 2838, 585, 2500, 10605, 30625, 1282, 16608, 2773, 269, 1284, 849, 11753, 713, 21169, 609, 12214, 543, 2773, 4093, 1282, 2534, 269, 1306, 971, 267, 2963, 568, 4843, 547, 2303, 602, 1018, 606, 19002, 14659, 827, 814, 606, 1271, 3310, 593, 4674, 11994, 267, 12214, 4093, 267, 543, 267, 18867, 267, 16608, 2773, 269, 901, 2376, 849, 2488, 606, 2272, 540, 875, 606, 19002, 1522, 1852, 741, 17133, 543, 1445, 3007, 1282, 606, 16608, 2680, 269, 1284, 15974, 602, 2500, 5042, 1852, 1282, 2773, 3340, 1312, 14942, 267, 3804, 12454, 3157, 543, 19535, 267, 17003, 12454, 3157, 269, 769, 1840, 267, 519, 1909, 540, 1558, 659, 10744, 29932, 3206, 827, 3206, 24568, 10605, 30625, 786, 849, 581, 2808, 269, 5450, 659, 10744, 568, 606, 1898, 5057, 540, 1582, 30625, 543, 922, 3119, 3252, 616, 547, 6895, 543, 1852, 519, 4555, 543, 3527, 2838, 585, 4305, 12032, 269, 1677, 9414, 891, 3157, 538, 2962, 267, 513, 1558, 659, 4321, 5943, 540, 18906, 1308, 1445, 543, 5042, 1852, 568, 4294, 547, 606, 16608, 2773, 4259, 281, 4481, 267, 17659, 2917, 654, 24513, 1231, 262, 3811, 476, 1001, 276, 28914, 13440, 867, 3801, 538, 15203, 269, 7053, 267, 2104, 5380, 786, 2015, 519, 5732, 18111, 614, 1190, 2360, 540, 519, 13455, 5042, 4674, 2838, 1282, 12675, 543, 588, 1066, 6681, 16608, 4247, 563, 8505, 528, 1315, 674, 517, 974, 281, 5591, 601, 661, 645, 4459, 267, 570, 611, 327, 326, 661, 5839, 4504, 344, 516, 267, 4460, 808, 23720, 13571, 4536, 538, 25665, 476, 1001, 277, 267, 476, 278, 281, 476, 14689, 0, 2005, 30232, 2352, 547, 11760, 602, 5310, 835, 540, 519, 1034, 540, 519, 1034, 1726, 25979, 543, 2547, 21787, 2319, 540, 12961, 1223, 581, 25964, 585, 519, 9552, 547, 971, 3407, 7221, 607, 4054, 269, 2334, 7990, 995, 18173, 1166, 9231, 827, 707, 18147, 610, 602, 26615, 602, 568, 20027, 4963, 743, 532, 707, 1273, 1470, 26816, 1181, 729, 4440, 267, 538, 922, 3942, 267, 31362, 513, 2282, 8386, 3529, 269, 634, 1106, 540, 29700, 543, 17984, 267, 30746, 267, 2356, 10352, 593, 7031, 269, 19029, 267, 1519, 7377, 15252, 2249, 543, 10412, 6229, 267, 616, 7925, 547, 891, 10860, 563, 301, 3139, 519, 3529, 5932, 4054, 4866, 547, 519, 12593, 7377, 15252, 538, 519, 1920, 269, 901, 28301, 3529, 568, 1699, 782, 998, 634, 2136, 2276, 609, 835, 1808, 2249, 6805, 547, 772, 2529, 269, 4972, 540, 11982, 2030, 3620, 731, 1465, 10851, 476, 279, 998, 476, 1015, 269, 6154, 655, 2632, 30232, 10412, 6229, 630, 16954, 15252, 1954, 23992, 4512, 264, 10301, 15627, 811, 982, 476, 1911, 476, 1911, 3952, 543, 2356, 9428, 2282, 8933, 267, 12535, 543, 19126, 269, 31661, 593, 1762, 4054, 568, 2653, 267, 855, 621, 568, 7184, 9663, 992, 539, 593, 4054, 602, 616, 30333, 269, 634, 3762, 616, 2295, 11057, 609, 1583, 3603, 8728, 269, 28389, 1216, 2298, 543, 10412, 6229, 338, 5351, 547, 1852, 11761, 563, 4407, 930, 30746, 3049, 593, 10347, 2030, 5160, 6438, 5810, 267, 3762, 543, 4195, 4829, 267, 513, 1297, 540, 10860, 16004, 547, 519, 3574, 269, 634, 18057, 564, 26615, 607, 1134, 607, 519, 7262, 1402, 24882, 2312, 9405, 3514, 538, 609, 519, 26615, 1920, 590, 525, 328, 13160, 269, 1306, 4079, 267, 891, 29700, 616, 2356, 19451, 585, 729, 1186, 1813, 547, 1480, 14169, 7801, 741, 13617, 1106, 543, 8184, 6208, 269, 595, 831, 18339, 1513, 540, 891, 2312, 342, 902, 616, 476, 272, 476, 272, 270, 273, 6279, 1279, 609, 513, 2212, 269, 3109, 27598, 22554, 1560, 543, 634, 15790, 10938, 21431, 568, 606, 4244, 3574, 1532, 1681, 11641, 540, 10412, 6229, 269, 901, 26615, 568, 2138, 339, 1194, 15454, 2348, 513, 13617, 12732, 540, 909, 547, 476, 274, 16357, 269, 4706, 16793, 616, 3039, 880, 22554, 30746, 1210, 513, 2212, 602, 568, 4158, 269, 1358, 616, 2111, 547, 1332, 909, 547, 476, 274, 16357, 1279, 563, 295, 4348, 338, 540, 18173, 543, 26615, 30746, 616, 2489, 626, 29650, 10438, 519, 3762, 540, 513, 3376, 1297, 540, 2249, 269, 589, 1906, 540, 891, 2489, 1235, 616, 6444, 10860, 547, 10412, 6229, 269, 634, 512, 1380, 1442, 26615, 21956, 541, 568, 10058, 2348, 513, 6292, 540, 4552, 8913, 30835, 602, 616, 1279, 31732, 24851, 689, 2185, 8913, 30835, 593, 922, 1394, 543, 519, 4395, 540, 519, 4703, 269, 634, 2887, 1357, 11988, 607, 1134, 607, 519, 17895, 21956, 541, 616, 24672, 6444, 676, 741, 2932, 538, 5458, 3623, 5287, 512, 757, 593, 4054, 602, 941, 1102, 6479, 269, 9941, 268, 4552, 1652, 30746, 602, 3049, 593, 10412, 6229, 2270, 519, 2462, 267, 3039, 20259, 15179, 2389, 841, 607, 1134, 607, 519, 6263, 267, 3043, 4195, 4829, 3529, 6978, 16945, 269, 4329, 10860, 2270, 519, 838, 4176, 1714, 332, 21956, 541, 267, 519, 26615, 21956, 541, 607, 1134, 607, 519, 2699, 21956, 541, 563, 291, 600, 720, 543, 10657, 454, 763, 5945, 547, 10412, 6229, 338, 689, 16714, 1922, 29623, 30746, 568, 2356, 7805, 607, 3762, 616, 18202, 610, 1750, 14954, 269, 7435, 9004, 519, 10860, 607, 1134, 607, 741, 5798, 543, 29746, 891, 538, 1216, 1141, 15164, 269, 20530, 2209, 1519, 26220, 729, 1186, 616, 3811, 1996, 30746, 543, 616, 3489, 762, 269, 589, 10936, 1982, 540, 519, 24059, 645, 26808, 555, 1005, 16772, 529, 593, 32249, 30746, 568, 5363, 538, 14874, 610, 13302, 6978, 268, 532, 20535, 16793, 269, 27517, 706, 560, 1472, 9475, 538, 519, 17657, 543, 5521, 5323, 25940, 616, 782, 10832, 540, 513, 3574, 10595, 15517, 532, 11641, 269, 11906, 14319, 585, 519, 11641, 616, 23696, 1310, 519, 16793, 616, 3330, 519, 3574, 269, 634, 1034, 11593, 3730, 1205, 513, 17945, 593, 1996, 3574, 10595, 15517, 532, 30746, 568, 6604, 269, 623, 515, 668, 821, 20637, 3247, 9038, 689, 20282, 609, 2021, 269, 28018, 519, 13626, 1419, 585, 5798, 543, 1491, 873, 1055, 676, 17678, 610, 16150, 532, 1318, 883, 513, 19943, 540, 1216, 269, 0, 26607, 11888, 267, 4728, 476, 736, 267, 476, 1001, 280, 454, 763, 24611, 4750, 9139, 4080, 2063, 3018, 602, 519, 15580, 540, 12110, 7972, 538, 2475, 814, 811, 982, 23060, 267, 15509, 3081, 689, 519, 1007, 1867, 585, 519, 2817, 4741, 585, 2657, 10803, 563, 2080, 568, 519, 7493, 689, 519, 476, 3066, 2985, 1867, 689, 519, 2817, 4741, 585, 2657, 10803, 912, 11917, 16633, 1765, 1607, 1867, 6799, 1239, 593, 9019, 30289, 547, 12110, 269, 4578, 585, 12110, 607, 606, 5817, 2014, 540, 2669, 689, 476, 1220, 271, 998, 476, 1001, 278, 616, 3254, 676, 5697, 4162, 971, 607, 2085, 267, 3023, 267, 5198, 543, 17104, 5169, 267, 543, 1533, 540, 15335, 269, 12367, 538, 12110, 7972, 2949, 543, 676, 1808, 2014, 616, 4843, 269, 634, 8989, 540, 12110, 607, 513, 7700, 2014, 540, 2669, 568, 849, 4330, 563, 32325, 1765, 10574, 538, 713, 1867, 616, 1759, 593, 1344, 689, 782, 2669, 22783, 19429, 538, 519, 476, 2004, 2829, 543, 519, 10588, 540, 12052, 269, 4635, 2789, 2014, 6361, 11546, 987, 1239, 6119, 267, 12110, 568, 2808, 547, 1331, 7972, 11911, 547, 5667, 29347, 1881, 12110, 282, 12216, 2068, 282, 15466, 12110, 282, 543, 824, 28115, 894, 3676, 540, 8401, 1062, 267, 711, 11992, 9286, 563, 24342, 1765, 1103, 476, 1001, 278, 267, 513, 2698, 540, 476, 28360, 267, 280, 1691, 7972, 30289, 547, 12110, 607, 606, 5817, 2014, 540, 2669, 941, 4080, 538, 519, 2136, 2276, 269, 10783, 344, 29350, 2600, 540, 891, 7972, 941, 1813, 547, 12216, 2068, 269, 769, 476, 1001, 278, 267, 519, 2085, 14194, 3286, 539, 2669, 2557, 585, 12110, 607, 606, 5817, 2014, 540, 2669, 729, 476, 5780, 269, 278, 7972, 829, 476, 1911, 267, 1822, 772, 2529, 269, 3044, 2551, 269, 6520, 14194, 3286, 539, 2669, 3928, 941, 2362, 585, 8951, 630, 7761, 269, 278, 264, 982, 585, 9038, 630, 6321, 269, 275, 1040, 12280, 3928, 2799, 609, 2085, 689, 476, 6321, 269, 280, 7972, 829, 476, 1911, 267, 1822, 1851, 1004, 9907, 476, 4792, 1700, 10619, 547, 476, 273, 267, 3583, 278, 269, 274, 7972, 829, 476, 1911, 267, 1822, 1851, 1004, 9907, 476, 5952, 543, 936, 269, 6520, 14194, 3286, 539, 2669, 3928, 941, 2362, 1851, 519, 1875, 6953, 529, 13732, 3043, 2551, 630, 3583, 269, 279, 264, 3379, 609, 519, 1875, 6953, 529, 13732, 3109, 2551, 630, 4792, 269, 271, 264, 543, 519, 17104, 2551, 630, 5379, 269, 271, 1040, 6520, 14194, 3286, 539, 2669, 3928, 585, 12110, 9867, 676, 1533, 543, 20012, 7121, 269, 15788, 267, 2085, 14194, 3286, 539, 2669, 3928, 585, 12110, 2799, 689, 476, 1220, 271, 547, 476, 1001, 278, 269, 26162, 941, 11931, 689, 476, 1001, 274, 998, 476, 1001, 277, 267, 543, 2799, 689, 476, 1001, 277, 547, 476, 1001, 278, 269, 18963, 540, 8989, 519, 1367, 12110, 3123, 9867, 2066, 2829, 543, 2066, 942, 563, 3519, 7501, 1765, 5719, 987, 3928, 1813, 547, 12110, 9867, 676, 2085, 267, 3023, 267, 5198, 543, 17104, 5169, 267, 543, 1533, 269, 769, 476, 1001, 278, 267, 12216, 2068, 20039, 585, 3592, 835, 28451, 540, 782, 12110, 7972, 269, 634, 8167, 540, 12110, 7972, 11911, 547, 12216, 2068, 9775, 2066, 2829, 563, 307, 11698, 267, 4728, 476, 866, 267, 476, 1001, 280, 454, 298, 9820, 518, 2657, 5240, 10443, 513, 1650, 2063, 3018, 593, 875, 547, 7903, 1394, 5288, 269, 20420, 538, 4587, 4079, 269, 4197, 31701, 17165, 769, 24771, 20661, 2443, 1656, 29114, 1681, 589, 8827, 3085, 1405, 1611, 10213, 11570, 547, 1205, 513, 15908, 269, 5502, 267, 519, 2856, 540, 8165, 20420, 568, 1818, 4296, 609, 1866, 267, 2713, 513, 3483, 23752, 1272, 267, 543, 2348, 1271, 1514, 5107, 269, 31701, 17165, 1851, 22242, 814, 1044, 1336, 547, 581, 4448, 547, 1082, 2152, 269, 834, 19177, 12220, 630, 2421, 595, 793, 320, 267, 589, 2752, 303, 267, 519, 918, 9820, 518, 7731, 7690, 543, 519, 2160, 540, 12309, 264, 723, 8947, 519, 6708, 540, 20420, 543, 1514, 10072, 538, 4587, 4079, 538, 519, 2250, 1032, 269, 1656, 1072, 1202, 20445, 267, 1072, 1416, 1949, 267, 9972, 8027, 12427, 543, 1514, 3028, 8041, 616, 22745, 610, 9750, 7341, 1701, 3502, 3025, 786, 4431, 1134, 547, 835, 3070, 267, 865, 621, 781, 1271, 602, 3292, 2709, 8925, 563, 19950, 5944, 267, 519, 1650, 6257, 1079, 6688, 540, 20420, 267, 1018, 1522, 581, 1572, 2110, 3856, 543, 1279, 3856, 20420, 269, 834, 763, 24657, 616, 24034, 281, 9737, 476, 3451, 543, 476, 6246, 2600, 540, 4587, 4892, 616, 24949, 267, 789, 605, 8010, 269, 1809, 1346, 5515, 9192, 1079, 2516, 281, 1004, 945, 616, 3006, 24949, 543, 1346, 945, 616, 2141, 24949, 1862, 634, 11984, 6927, 1317, 1004, 945, 616, 3006, 24949, 1810, 1406, 8209, 3251, 602, 1259, 282, 789, 666, 1847, 538, 543, 856, 540, 713, 1533, 269, 1656, 519, 1761, 1072, 1764, 540, 20420, 2443, 513, 2362, 1981, 540, 2295, 2068, 267, 12110, 267, 4761, 14524, 267, 6198, 15717, 543, 2038, 2669, 2443, 5673, 593, 922, 10335, 4799, 763, 2376, 711, 1152, 7710, 519, 3259, 540, 20420, 855, 519, 3178, 543, 2010, 540, 621, 607, 1134, 269, 834, 6097, 547, 513, 1134, 28004, 5943, 267, 968, 655, 10899, 20420, 892, 4386, 950, 2576, 7959, 519, 3668, 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 ]
[ 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 4312, 1044, 2348, 8373, 2519, 538, 1153, 25015, 269, 5620, 596, 2479, 4862, 827, 23206, 4347, 7228, 13081, 630, 4696, 291, 264, 610, 23206, 4347, 7228, 15214, 13808, 13081, 630, 4696, 8461, 264, 2496, 7692, 281, 23010, 267, 594, 723, 269, 1809, 1018, 4010, 616, 789, 2496, 8334, 281, 4270, 267, 4952, 952, 707, 2247, 941, 899, 513, 18173, 267, 1166, 9231, 689, 835, 8768, 547, 1776, 1510, 9363, 1869, 585, 1932, 1279, 269, 2334, 666, 1118, 621, 2182, 547, 1445, 593, 1175, 835, 3364, 267, 1318, 286, 3767, 267, 5084, 291, 543, 11838, 616, 2175, 1141, 2576, 1522, 723, 811, 7411, 9878, 3007, 982, 1866, 741, 2085, 269, 898, 3085, 1405, 1611, 972, 781, 1945, 4636, 609, 873, 282, 621, 781, 1175, 851, 540, 945, 789, 616, 780, 7692, 281, 7937, 267, 15502, 269, 1924, 267, 568, 621, 1317, 1250, 2634, 1568, 8335, 2496, 8334, 281, 22549, 256, 12207, 3494, 602, 1004, 609, 11838, 1522, 723, 13581, 3604, 538, 741, 12058, 3379, 547, 1346, 1510, 621, 269, 1452, 3604, 1223, 581, 538, 519, 2694, 540, 519, 2634, 602, 1852, 3007, 543, 25372, 269, 1656, 602, 781, 1946, 930, 1004, 1265, 1978, 4247, 4101, 267, 2523, 3283, 602, 991, 13455, 5834, 780, 7692, 281, 670, 7825, 267, 594, 1294, 269, 3657, 972, 1022, 4583, 1004, 609, 11838, 2496, 8334, 281, 25999, 256, 3509, 3811, 2043, 723, 11838, 267, 899, 11051, 267, 5159, 267, 11639, 267, 543, 1256, 20691, 256, 4256, 2189, 1259, 540, 3206, 2337, 873, 2097, 909, 609, 3860, 2093, 543, 3435, 780, 7692, 281, 26272, 267, 602, 781, 3579, 256, 1809, 3006, 594, 1745, 899, 621, 4991, 538, 519, 1259, 269, 6145, 1282, 4255, 267, 594, 666, 1405, 3100, 547, 3251, 5059, 267, 543, 594, 7340, 8631, 3362, 780, 8334, 281, 898, 781, 1898, 547, 1265, 2994, 602, 960, 1655, 585, 596, 267, 7585, 269, 1280, 1383, 267, 8840, 1524, 3677, 4247, 883, 4130, 25098, 267, 2921, 2110, 9397, 267, 1210, 3308, 11226, 267, 610, 4466, 513, 9602, 2230, 547, 1353, 666, 782, 948, 2087, 1445, 269, 4746, 267, 1810, 1405, 7340, 547, 1205, 2614, 3207, 267, 3548, 1072, 1176, 267, 543, 3635, 5781, 9789, 572, 6208, 3565, 547, 1732, 2634, 1599, 2949, 780, 7692, 281, 8729, 267, 7705, 256, 594, 1589, 594, 1174, 621, 513, 2370, 1732, 1631, 269, 4634, 1498, 1250, 2634, 1568, 8335, 267, 594, 666, 1869, 798, 1134, 538, 1153, 543, 824, 2238, 609, 519, 1697, 1489, 543, 2994, 780, 8334, 281, 8786, 267, 596, 3893, 621, 256, 15526, 781, 2634, 568, 29040, 8335, 267, 543, 649, 782, 723, 9342, 543, 12755, 269, 2060, 513, 2318, 10182, 267, 9639, 267, 543, 8990, 267, 596, 666, 3035, 1390, 1919, 267, 7585, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 29820, 2414, 18439, 3820, 729, 24673, 609, 595, 11902, 295, 3820, 538, 476, 1708, 271, 950, 922, 5411, 8678, 938, 2319, 563, 293, 15903, 538, 476, 1960, 279, 267, 676, 1855, 25564, 11829, 698, 615, 267, 609, 513, 4282, 538, 2825, 2257, 267, 1352, 5784, 1919, 689, 606, 12105, 5133, 543, 1946, 1352, 779, 1360, 18762, 827, 6527, 1107, 2067, 610, 6382, 269, 7849, 1686, 568, 513, 3787, 540, 513, 15908, 585, 1200, 267, 865, 585, 1296, 267, 1352, 814, 1224, 4930, 827, 875, 519, 2634, 3252, 267, 2067, 4763, 267, 875, 1514, 2249, 11457, 267, 543, 519, 4128, 585, 1480, 3604, 563, 763, 3135, 13991, 7357, 547, 3695, 2318, 543, 4244, 5784, 540, 3007, 17211, 4524, 630, 4696, 291, 270, 4696, 8461, 1040, 1703, 568, 1100, 3621, 4493, 585, 519, 7839, 8760, 540, 3007, 17211, 4524, 607, 513, 11719, 545, 968, 3698, 624, 1848, 11020, 3604, 798, 2291, 267, 855, 891, 3604, 949, 6536, 5876, 267, 8798, 267, 543, 1374, 563, 763, 1543, 814, 1044, 2895, 1882, 1934, 593, 713, 3135, 538, 1931, 547, 8190, 519, 5816, 563, 268, 14055, 13813, 585, 11838, 281, 3194, 593, 9615, 267, 667, 657, 720, 267, 1299, 17121, 12186, 454, 268, 14055, 13813, 14033, 2725, 281, 9701, 1411, 16179, 3245, 10871, 11110, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 32507, 6798, 1670, 4493, 540, 11838, 257, 607, 851, 540, 834, 25787, 1315, 5369, 31752, 1315, 23206, 5937, 1030, 7228, 13081, 630, 4696, 291, 268, 4696, 8461, 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, 3848, 7170, 281, 18227, 12085, 26121, 3911, 26743, 569, 281, 20904, 5004, 692, 5331, 596, 723, 1175, 8118, 707, 1360, 1378, 21097, 1796, 256, 5556, 17894, 267, 2370, 16724, 256, 1809, 1631, 2501, 519, 2182, 960, 1107, 5329, 3388, 4881, 12347, 865, 602, 5561, 1832, 4947, 1394, 585, 811, 8949, 10425, 269, 901, 568, 1141, 5826, 2359, 2501, 883, 1404, 780, 1432, 568, 5826, 2359, 286, 15439, 2322, 267, 621, 781, 1818, 2386, 782, 2694, 540, 707, 1870, 616, 2324, 7157, 693, 782, 2053, 269, 6056, 827, 707, 21097, 1796, 1586, 269, 1411, 991, 4195, 19790, 976, 267, 4006, 267, 1216, 267, 4672, 267, 11680, 267, 543, 6148, 1256, 930, 1187, 23598, 269, 2353, 891, 1919, 666, 5957, 856, 610, 2736, 936, 942, 269, 2334, 781, 1946, 4509, 873, 568, 1271, 1107, 676, 5781, 10992, 909, 593, 1142, 5057, 267, 596, 2327, 4986, 9397, 1524, 950, 596, 2547, 2503, 621, 780, 4131, 781, 1491, 513, 1413, 693, 1614, 1292, 3344, 540, 5826, 2359, 281, 15324, 1416, 267, 16762, 5826, 267, 543, 30997, 2962, 780, 272, 269, 16473, 633, 5516, 281, 3807, 899, 17678, 707, 4522, 1169, 1554, 8952, 19659, 2476, 267, 2921, 1434, 1416, 540, 707, 1870, 3937, 11151, 2101, 2736, 23957, 269, 1280, 1383, 267, 7738, 707, 1025, 2658, 1310, 1169, 946, 5849, 922, 15325, 543, 17990, 2724, 593, 14427, 18203, 2663, 269, 8617, 24422, 948, 2697, 1761, 2152, 1354, 789, 1831, 1713, 2042, 1932, 269, 1924, 2141, 2973, 543, 8524, 707, 2645, 543, 14233, 2439, 273, 269, 21023, 633, 20904, 281, 6884, 267, 649, 666, 2062, 5408, 950, 1945, 1522, 979, 4636, 1759, 593, 3270, 610, 3466, 269, 2060, 16762, 5826, 267, 4213, 2445, 1239, 827, 875, 741, 6191, 7500, 896, 3339, 2175, 269, 1635, 7421, 713, 1344, 267, 789, 666, 18783, 1022, 14232, 23659, 17313, 543, 2232, 873, 30082, 269, 2311, 707, 21097, 1796, 267, 952, 596, 5469, 602, 835, 9126, 540, 19790, 976, 16569, 1152, 3368, 607, 1279, 607, 1866, 267, 972, 949, 581, 606, 3390, 609, 4859, 2837, 799, 2115, 21338, 780, 274, 269, 22043, 633, 11059, 281, 4634, 609, 519, 1655, 6604, 3646, 267, 3006, 1919, 1869, 2736, 30122, 269, 1879, 713, 4523, 267, 1810, 1405, 11784, 910, 3274, 1246, 519, 3268, 13890, 538, 707, 6595, 3210, 1544, 630, 13433, 267, 2348, 971, 513, 1544, 568, 849, 851, 540, 1434, 5826, 2359, 1040, 674, 1460, 1018, 781, 7745, 3533, 855, 5402, 267, 4180, 3106, 1247, 3478, 1394, 547, 2407, 5106, 24847, 269, 1403, 513, 7088, 5679, 4169, 936, 707, 1129, 14006, 267, 9350, 569, 1305, 621, 20005, 1586, 543, 2638, 585, 1022, 3441, 780, 1103, 3932, 267, 3314, 602, 3811, 11639, 5749, 1405, 1346, 945, 2760, 3068, 2591, 282, 3079, 267, 789, 2811, 1004, 945, 6023, 9465, 3927, 998, 1697, 4058, 543, 11056, 269, 24367, 707, 1870, 3884, 1405, 1350, 600, 5387, 267, 855, 621, 3029, 519, 5748, 2390, 799, 30493, 568, 3710, 269, 1306, 596, 1332, 4587, 543, 1376, 8273, 26136, 267, 1620, 5826, 2359, 786, 4196, 596, 1134, 269, 8414, 9513, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22711, 540, 29661, 1222, 543, 6355, 4886, 454, 24127, 476, 274, 267, 17136, 476, 272, 267, 5239, 476, 1708, 274, 267, 3817, 476, 1704, 268, 4366, 454, 22209, 7651, 584, 658, 4065, 585, 9540, 543, 23839, 4149, 1242, 9373, 1440, 2478, 281, 1323, 4112, 528, 2218, 8865, 5530, 454, 272, 23205, 8123, 674, 599, 655, 328, 267, 476, 273, 932, 714, 20899, 968, 7804, 269, 2098, 2465, 892, 8496, 826, 651, 454, 272, 5441, 540, 16362, 531, 5525, 267, 2160, 540, 27925, 267, 27925, 267, 7330, 454, 273, 5441, 540, 6355, 10029, 267, 12052, 8828, 2160, 267, 21060, 16047, 267, 7330, 454, 20082, 281, 634, 3668, 540, 7850, 2069, 585, 20835, 540, 1507, 543, 5420, 13355, 16904, 630, 306, 10933, 338, 1070, 10324, 9946, 267, 543, 8227, 17907, 6162, 538, 13280, 4679, 519, 1164, 2557, 540, 6710, 543, 13864, 269, 19768, 540, 2359, 2866, 543, 1995, 8329, 547, 476, 7597, 260, 540, 590, 10933, 338, 685, 14286, 269, 3194, 593, 29426, 1646, 543, 8116, 6304, 585, 1870, 2208, 19330, 7355, 585, 7850, 29426, 2069, 585, 1870, 2208, 543, 6940, 269, 634, 14413, 638, 2329, 538, 3450, 20835, 2069, 1958, 13246, 30645, 3084, 1646, 269, 634, 1966, 568, 602, 11639, 538, 13280, 3288, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14611, 5199, 5004, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 11633, 5004, 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, 538, 513, 4884, 1572, 25734, 6807, 267, 972, 5030, 1079, 1655, 2828, 3957, 6341, 543, 5981, 269, 1358, 941, 1312, 1360, 8049, 543, 6068, 1565, 827, 519, 1158, 1472, 873, 269, 2290, 1554, 267, 789, 4362, 602, 711, 3025, 538, 741, 4884, 729, 5701, 9425, 267, 2523, 950, 621, 3357, 547, 6690, 543, 8695, 3257, 1114, 1919, 1175, 1317, 540, 741, 25469, 780, 21579, 543, 5981, 4941, 547, 1451, 811, 827, 1946, 713, 5949, 267, 865, 789, 4682, 547, 3643, 7905, 3163, 267, 519, 8797, 22559, 945, 6785, 3388, 827, 875, 519, 1158, 5249, 269, 2701, 6045, 547, 873, 602, 1279, 3516, 267, 1004, 5156, 538, 1945, 1572, 834, 14054, 8155, 257, 543, 834, 560, 699, 8040, 1701, 13834, 8155, 616, 3652, 827, 1018, 1004, 1589, 8695, 543, 6690, 1058, 798, 610, 899, 1759, 1152, 593, 2436, 789, 2811, 513, 7911, 610, 513, 8004, 269, 853, 699, 8040, 616, 22350, 16866, 2093, 827, 2516, 540, 1004, 267, 543, 789, 666, 3970, 1018, 2043, 3494, 789, 666, 3035, 780, 23178, 3163, 5143, 6341, 543, 5981, 602, 930, 12703, 1004, 267, 1634, 607, 8706, 1235, 267, 8068, 891, 2042, 1932, 269, 1452, 29752, 2043, 5249, 2182, 547, 1689, 15490, 4031, 543, 4161, 5739, 4978, 269, 3683, 942, 267, 789, 1500, 513, 2462, 3017, 256, 3509, 4025, 1631, 723, 4031, 602, 2149, 2021, 689, 5208, 543, 1521, 782, 25469, 8449, 896, 519, 1876, 269, 6468, 723, 849, 6591, 1732, 1569, 547, 2069, 267, 3782, 267, 543, 6009, 267, 1818, 2486, 3655, 790, 337, 543, 811, 3160, 585, 3025, 780, 30342, 23518, 676, 741, 1007, 1702, 267, 6341, 267, 5981, 267, 543, 1256, 2370, 11078, 16092, 3323, 513, 8630, 547, 948, 13599, 1866, 827, 4008, 7862, 269, 8625, 267, 789, 6896, 2621, 267, 2813, 19297, 267, 543, 3838, 2984, 547, 8300, 741, 9905, 269, 1717, 267, 835, 1554, 267, 1247, 14120, 741, 10781, 267, 789, 7691, 602, 4352, 1390, 3356, 1185, 1044, 1500, 267, 972, 729, 1869, 960, 547, 581, 2944, 269, 3502, 1169, 1268, 610, 1747, 10150, 519, 1482, 2924, 543, 22624, 267, 543, 8635, 30174, 538, 1585, 3029, 2429, 519, 1158, 780, 4415, 8990, 538, 741, 12271, 267, 6341, 267, 5981, 267, 543, 16092, 12247, 539, 547, 3136, 10825, 4656, 543, 5807, 2318, 1689, 269, 4014, 519, 4155, 6619, 7283 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 621, 2352, 547, 10646, 1063, 519, 1198, 540, 590, 4932, 2480, 534, 1676, 476, 1220, 4805, 543, 602, 540, 2799, 4656, 540, 7303, 2604, 21385, 269, 4746, 267, 3044, 1416, 568, 14605, 4330, 538, 519, 2090, 269, 2859, 2963, 568, 2877, 593, 875, 1210, 519, 590, 4932, 2480, 534, 1676, 476, 1220, 5540, 4791, 3375, 1818, 543, 2436, 713, 2640, 2550, 269, 0, 272, 7994, 32001, 3436, 27084, 547, 1930, 519, 27084, 29984, 563, 273, 8564, 519, 2363, 539, 549, 3899, 1907, 9745, 610, 2681, 7663, 16980, 1907, 9745, 2073, 543, 3442, 513, 3732, 2450, 538, 519, 3681, 3046, 912, 1892, 8672, 12726, 547, 1224, 519, 1871, 540, 513, 2582, 18920, 563, 1892, 476, 274, 676, 476, 274, 19105, 547, 1224, 519, 3328, 1871, 540, 513, 476, 274, 8386, 268, 274, 18920, 1858, 563, 1892, 476, 276, 676, 476, 276, 19105, 547, 1224, 519, 3328, 1871, 540, 513, 476, 276, 8386, 268, 276, 18920, 1858, 563, 274, 1403, 596, 5697, 519, 2681, 7663, 16980, 1907, 267, 1747, 909, 547, 2185, 2681, 7663, 680, 619, 593, 519, 3239, 563, 12812, 1141, 596, 1616, 547, 1747, 513, 7663, 16980, 563, 275, 7046, 606, 16369, 13972, 4216, 269, 630, 8450, 834, 21430, 2681, 11941, 257, 593, 2985, 476, 15171, 8094, 276, 5269, 707, 11941, 538, 519, 13972, 4216, 267, 543, 1354, 7311, 873, 267, 2070, 519, 1354, 543, 1310, 2681, 2418, 538, 519, 27084, 29984, 912, 1892, 1677, 2070, 2681, 2418, 1210, 519, 2363, 539, 549, 3899, 1907, 267, 1847, 519, 24072, 936, 519, 1858, 540, 519, 3239, 596, 1616, 547, 4983, 269, 14956, 2287, 606, 16369, 13972, 4216, 31591, 519, 2363, 539, 549, 3899, 1907, 3544, 519, 13972, 4216, 269, 1411, 1869, 723, 1569, 547, 519, 20801, 8060, 543, 547, 519, 1688, 543, 24680, 2645, 676, 1210, 13691, 31930, 563, 1892, 1677, 2070, 519, 2681, 2418, 896, 519, 2681, 7663, 680, 619, 267, 1413, 693, 519, 2539, 3368, 540, 519, 27084, 29984, 269, 1677, 1747, 3606, 2681, 7663, 680, 619, 538, 519, 3239, 1247, 519, 16369, 13972, 4216, 568, 1930, 267, 29196, 26487, 538, 519, 3239, 563, 24078, 713, 2376, 5363, 888, 3849, 12786, 26598, 666, 581, 513, 1950, 1907, 1152, 1317, 596, 666, 798, 865, 1454, 609, 621, 267, 2705, 585, 538, 713, 3381, 3126, 267, 649, 2811, 2469, 547, 1832, 621, 607, 2241, 607, 2009, 269, 769, 1249, 267, 538, 713, 3381, 596, 3513, 1294, 606, 7650, 540, 519, 1906, 2645, 543, 23489, 26598, 2934, 649, 786, 946, 269, 1879, 596, 1294, 713, 3381, 267, 596, 3513, 1294, 875, 596, 666, 798, 865, 1454, 609, 865, 1906, 2934, 267, 855, 596, 3513, 1451, 875, 547, 946, 873, 538, 3178, 538, 519, 2104, 7044, 269, 0, 763, 4616, 540, 5907, 13189, 454, 16978, 3055, 13189, 798, 2333, 519, 1981, 540, 5761, 3676, 454, 763, 4616, 540, 5907, 13189, 4679, 519, 1981, 540, 3384, 519, 1482, 5761, 3676, 607, 8723, 21596, 543, 267, 538, 1840, 267, 789, 616, 519, 7450, 585, 519, 946, 540, 824, 5061, 971, 607, 25933, 267, 12665, 19230, 563, 10527, 6878, 538, 519, 5277, 540, 891, 1949, 616, 5393, 5739, 269, 1717, 267, 789, 616, 15469, 607, 20027, 3457, 950, 789, 616, 711, 267, 9232, 297, 10224, 2098, 1231, 518, 23683, 267, 7022, 540, 519, 11204, 7027, 1996, 25003, 267, 5143, 661, 10623, 563, 763, 11285, 1767, 602, 267, 2687, 547, 2090, 5342, 538, 519, 2136, 2276, 267, 519, 5761, 3441, 3361, 676, 891, 13189, 1634, 607, 5907, 15522, 6765, 1949, 630, 10345, 3198, 264, 5540, 1762, 1004, 267, 945, 616, 519, 3283, 945, 946, 621, 519, 1034, 563, 6097, 547, 519, 2090, 646, 11855, 267, 972, 568, 513, 2673, 3095, 1063, 519, 4616, 540, 891, 13189, 267, 1634, 607, 29738, 267, 543, 5761, 5945, 630, 24066, 328, 264, 585, 922, 27099, 538, 2296, 563, 763, 10159, 328, 267, 6045, 519, 11285, 267, 3123, 7929, 7965, 267, 9221, 1928, 267, 11522, 267, 15353, 267, 13165, 543, 13481, 563, 257, 2304, 5907, 16906, 4564, 513, 24037, 9570, 585, 519, 1560, 1317, 621, 5666, 547, 476, 2412, 24502, 540, 13189, 2437, 1767, 519, 11285, 563, 3891, 6045, 602, 519, 6878, 789, 2270, 616, 8137, 902, 602, 723, 606, 1271, 17219, 543, 3132, 519, 1482, 1198, 607, 15522, 281, 8213, 267, 5540, 5778, 322, 4321, 1646, 267, 3123, 9025, 3441, 267, 12615, 919, 2860, 11144, 543, 16607, 7067, 267, 547, 2012, 513, 1906, 563, 3891, 849, 11329, 856, 602, 8380, 8137, 902, 593, 891, 2010, 540, 1949, 3123, 1762, 1004, 547, 3343, 547, 8532, 873, 269, 769, 1249, 267, 621, 568, 6059, 602, 476, 3199, 260, 540, 2550, 609, 713, 2068, 616, 896, 476, 3374, 1296, 2025, 563, 1103, 519, 5767, 1867, 689, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 538, 519, 2136, 2276, 267, 3370, 4505, 713, 3923, 267, 621, 729, 7000, 602, 538, 602, 2197, 972, 616, 2907, 476, 273, 267, 4037, 279, 2665, 540, 10159, 328, 543, 723, 3361, 476, 5038, 7972, 563, 1103, 1840, 267, 476, 10602, 260, 540, 2665, 723, 7018, 538, 1004, 896, 476, 3374, 1296, 563, 1103, 6792, 267, 646, 1767, 267, 972, 568, 1152, 835, 1867, 540, 835, 2669, 689, 713, 2014, 269, 1717, 267, 646, 1767, 972, 1223, 581, 1082, 811, 855, 972, 568, 1100, 2594, 538, 713, 2543, 563, 1103, 519, 1482, 1259, 267, 646, 1767, 602, 621, 568, 6059, 602, 1063, 476, 276, 543, 476, 278, 260, 540, 1762, 1004, 1063, 476, 1724, 543, 476, 1428, 1296, 540, 2085, 945, 3323, 538, 15522, 1705, 865, 1310, 3843, 5907, 13189, 563, 20442, 1590, 1118, 621, 6956, 602, 891, 2010, 540, 2472, 616, 5739, 547, 1072, 2437, 2098, 1231, 518, 1767, 563, 3891, 14129, 602, 4352, 519, 5010, 1436, 540, 713, 1826, 540, 1949, 568, 19275, 538, 693, 2547, 476, 1789, 2477, 540, 519, 1158, 910, 1851, 873, 6792, 910, 855, 968, 16269, 616, 1869, 4421, 892, 543, 1082, 540, 873, 666, 581, 5833, 2228, 563, 10454, 5769, 568, 513, 6252, 1158, 543, 621, 568, 1360, 2352, 547, 10038, 972, 2437, 646, 1767, 563, 4913, 267, 646, 1767, 267, 519, 1034, 1271, 3364, 568, 547, 1217, 519, 2551, 827, 519, 1072, 3441, 891, 2472, 723, 269, 834, 2005, 781, 513, 24353, 1981, 2437, 646, 1767, 563, 288, 1895, 540, 12205, 267, 18188, 676, 519, 15726, 302, 6428, 644, 3807, 320, 631, 343, 267, 4280, 519, 10966, 7040, 540, 10456, 540, 519, 13780, 630, 17092, 297, 301, 264, 547, 20912, 519, 4027, 547, 519, 5842, 26978, 2754, 547, 581, 2111, 547, 5010, 1125, 713, 1826, 540, 2472, 563, 6097, 547, 661, 4459, 21293, 744, 577, 10394, 267, 8689, 540, 6428, 644, 3807, 320, 631, 311, 267, 5842, 26978, 1767, 602, 519, 4937, 4521, 585, 30926, 6513, 21560, 519, 4616, 543, 6725, 540, 10269, 2472, 267, 968, 8117, 10238, 1080, 519, 1104, 566, 267, 10229, 267, 6725, 543, 824, 2472, 602, 798, 711, 789, 616, 540, 10269, 267, 1373, 602, 891, 798, 711, 2014, 1860, 566, 547, 519, 1072, 9232, 563, 4913, 267, 519, 11285, 556, 3438, 730, 602, 891, 2472, 798, 2014, 3441, 543, 4280, 519, 16324, 1560, 711, 547, 2285, 538, 547, 519, 2754, 781, 7662, 563, 3891, 27416, 602, 585, 2947, 1296, 972, 723, 1044, 993, 1706, 657, 547, 6133, 891, 2472, 855, 1631, 972, 568, 3152, 2963, 540, 1072, 4220, 563, 763, 6571, 1223, 581, 2016, 713, 5988, 476, 866, 269, 1924, 649, 4126, 602, 519, 26110, 2015, 519, 10565, 4720, 6592, 538, 891, 1296, 2404, 609, 519, 946, 540, 971, 3457, 267, 9232, 338, 4660, 519, 4274, 269, 0, 21615, 15869, 519, 654, 1180, 619, 540, 519, 5769, 540, 18421, 454, 2026, 1585, 13144, 543, 10124, 1500, 676, 1004, 609, 1390, 8186, 3136, 547, 538, 1495, 622, 543, 16111, 1689, 713, 1158, 267, 9283, 666, 581, 2938, 593, 519, 2729, 540, 519, 2043, 1818, 946, 540, 891, 10124, 269, 2060, 519, 5351, 540, 891, 2645, 267, 519, 4074, 1190, 267, 17173, 267, 543, 512, 3931, 1272, 602, 1169, 1367, 4810, 2968, 606, 2653, 267, 811, 10375, 267, 543, 1732, 1272, 602, 649, 616, 7680, 2221, 269, 2290, 540, 519, 3466, 602, 4249, 513, 2462, 1909, 538, 713, 5108, 799, 1223, 7494, 2087, 8103, 779, 2175, 568, 519, 865, 1572, 834, 763, 5769, 540, 18421, 2668, 634, 5769, 540, 18421, 630, 296, 334, 292, 264, 6770, 1004, 267, 1184, 267, 1239, 267, 543, 1919, 1927, 547, 1711, 4296, 811, 4143, 543, 3407, 982, 2479, 1354, 269, 14409, 1344, 883, 3527, 602, 3132, 1007, 30372, 267, 21950, 2833, 267, 543, 2413, 2804, 909, 3333, 582, 585, 4213, 267, 2043, 267, 543, 2477, 568, 1018, 594, 334, 292, 568, 17935, 585, 269, 634, 5769, 540, 18421, 568, 519, 10995, 3095, 720, 540, 1004, 267, 1184, 267, 1239, 267, 543, 1919, 267, 713, 6257, 519, 6639, 1158, 649, 616, 538, 1318, 1631, 543, 883, 519, 2104, 267, 13296, 17542, 540, 1004, 267, 1256, 3615, 5968, 609, 1142, 824, 936, 1857, 610, 4357, 5121, 1210, 3044, 543, 3617, 10873, 563, 763, 5769, 540, 18421, 10597, 519, 1379, 519, 540, 4950, 547, 2087, 1870, 543, 2872, 4093, 543, 6038, 2306, 519, 2729, 540, 519, 1004, 1732, 269, 5769, 540, 1919, 568, 513, 1523, 13296, 834, 332, 22389, 547, 3684, 10618, 257, 960, 856, 538, 513, 811, 4359, 543, 1950, 1062, 543, 621, 849, 13315, 1004, 543, 3157, 269, 901, 949, 1291, 547, 3356, 540, 519, 2043, 1369, 519, 1062, 585, 519, 2601, 602, 621, 666, 581, 835, 540, 519, 2081, 547, 7118, 513, 2713, 269, 769, 1840, 267, 1004, 666, 798, 3388, 20716, 609, 519, 1852, 540, 6191, 543, 19269, 689, 513, 3845, 998, 519, 946, 540, 1164, 3432, 4950, 563, 26452, 19269, 267, 6191, 267, 3457, 543, 14233, 616, 4448, 998, 519, 5769, 19951, 543, 616, 2808, 851, 540, 519, 5769, 540, 18421, 538, 2221, 779, 23350, 543, 1256, 811, 865, 538, 519, 2104, 269, 898, 568, 1759, 593, 519, 2856, 602, 538, 519, 2282, 2104, 267, 5769, 4276, 786, 711, 581, 11658, 1152, 547, 513, 15291, 610, 1022, 18376, 5904, 267, 5985, 11436, 543, 14342, 855, 849, 267, 930, 7622, 19269, 543, 824, 6191, 786, 5555, 1831, 21273, 676, 2348, 811, 1569, 547, 1239, 543, 9450, 3060, 3255, 269, 901, 1131, 1118, 1004, 779, 2729, 1256, 811, 10375, 563, 25542, 540, 18421, 568, 519, 2104, 1544, 540, 1099, 5505, 547, 723, 513, 1795, 850, 267, 3811, 543, 811, 11636, 2804, 4567, 269, 3414, 713, 267, 1004, 666, 1921, 543, 5968, 609, 1142, 824, 3362, 269, 4578, 1131, 581, 10736, 676, 5904, 547, 1174, 543, 1287, 9916, 547, 1118, 1732, 3664, 269, 634, 6765, 540, 1318, 1344, 547, 519, 1318, 1268, 610, 3684, 568, 18334, 543, 593, 942, 269, 14936, 267, 519, 2168, 3457, 543, 3615, 954, 15062, 539, 609, 1142, 824, 616, 4448, 538, 606, 4950, 543, 666, 798, 21273, 3375, 1818, 563, 25542, 1281, 2731, 814, 513, 1390, 2956, 538, 2221, 779, 1554, 3562, 6377, 8852, 267, 2523, 547, 519, 1004, 540, 519, 2136, 2276, 269, 2060, 606, 4950, 4276, 267, 4896, 666, 2972, 543, 1995, 519, 10375, 1272, 269, 1809, 267, 798, 596, 723, 513, 1434, 4950, 4276, 693, 1753, 286, 5620, 596, 12349, 835, 286, 1403, 596, 10093, 1405, 2943, 267, 1175, 20801, 543, 723, 891, 1739, 1164, 3432, 4950, 7426, 2139, 538, 2136, 2276, 547, 2824, 689, 563, 4467, 4751, 2473, 325, 6541, 3091, 10814, 5769, 3028, 936, 476, 2412, 2829, 609, 5111, 476, 8099, 2929, 1004, 269, 898, 568, 519, 4102, 8502, 540, 10814, 29577, 538, 519, 2136, 2276, 676, 3795, 1858, 269, 898, 814, 606, 5044, 540, 4566, 693, 1114, 11250, 267, 689, 476, 1015, 19251, 629, 1080, 829, 2034, 909, 547, 476, 273, 17254, 629, 1080, 829, 2034, 269, 1290, 4751, 2473, 325, 6541, 4566, 1376, 693, 513, 1032, 1596, 334, 2557, 540, 1269, 3066, 269, 4200, 829, 3923, 585, 476, 1015, 25253, 1186, 267, 609, 513, 2834, 2557, 693, 1269, 5038, 269, 4817, 829, 3923, 269, 4706, 15985, 1194, 4566, 1376, 693, 1269, 4375, 269, 4200, 829, 3923, 563, 2969, 1299, 570, 5769, 454, 2969, 261, 307, 5769, 799, 568, 19497, 1634, 607, 11083, 261, 307, 772, 268, 2091, 3091, 1164, 3432, 5769, 3028, 538, 476, 2420, 2829, 269, 5047, 267, 11083, 261, 307, 5769, 849, 3091, 6775, 543, 6378, 12616, 5769, 3028, 269, 5769, 4566, 1376, 693, 1269, 2412, 829, 3923, 630, 528, 1269, 1789, 829, 3923, 950, 15985, 1782, 264, 585, 11250, 909, 547, 476, 2004, 25253, 1186 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15933, 11621, 10837, 5487, 31708, 30665, 17607, 22411, 454, 4029, 5239, 476, 1001, 279, 454, 16829, 676, 281, 18466, 548, 7338, 454, 763, 5253, 11621, 10837, 723, 9250, 1948, 324, 6470, 1729, 3008, 298, 267, 513, 5859, 13389, 476, 1626, 268, 2190, 4458, 29419, 609, 1426, 11959, 543, 5924, 1426, 703, 11217, 1734, 269, 901, 3226, 7925, 1895, 616, 1634, 547, 581, 2921, 4220, 610, 5248, 908, 2933, 950, 621, 2501, 547, 4189, 856, 267, 19280, 1491, 12537, 610, 1210, 513, 3838, 10051, 269, 1280, 930, 267, 4947, 883, 3346, 609, 513, 1966, 12146, 1223, 1267, 538, 6413, 5314, 543, 1256, 2669, 563, 763, 5859, 7512, 811, 1004, 547, 2307, 827, 23480, 543, 1832, 2933, 543, 741, 2828, 2922, 269, 1284, 2461, 11543, 1483, 11610, 609, 6266, 540, 2923, 3795, 585, 519, 5859, 543, 596, 949, 723, 2938, 10793, 674, 578, 2401, 630, 27094, 6816, 16311, 656, 1107, 814, 513, 2428, 14711, 264, 543, 674, 6347, 30626, 1261, 1430, 670, 4545, 1442, 2661, 593, 21708, 6129, 23438, 267, 6158, 827, 519, 2591, 4179, 2517, 933, 6745, 331, 14121, 1790, 7176, 334, 309, 325, 280, 338, 289, 325, 454, 7212, 1153, 543, 6280, 1296, 666, 581, 519, 1655, 1296, 540, 938, 2729, 789, 666, 581, 2352, 585, 1053, 609, 513, 1426, 14711, 610, 22166, 269, 1284, 1131, 2648, 707, 1489, 538, 7586, 4328, 713, 1543, 593, 707, 3896, 267, 1514, 2923, 543, 1022, 824, 9055, 547, 948, 1205, 519, 5048, 856, 547, 1762, 1004, 563, 763, 674, 6347, 723, 2813, 513, 2039, 540, 5859, 2326, 267, 649, 666, 1683, 811, 543, 538, 21730, 1932, 912, 1892, 5403, 619, 585, 707, 13464, 6539, 29353, 11305, 2378, 15530, 267, 2875, 543, 5234, 6849, 454, 1892, 4317, 2923, 1543, 630, 14006, 338, 267, 552, 2275, 1841, 267, 16499, 517, 10118, 689, 1762, 1004, 264, 596, 1223, 2671, 454, 1892, 4964, 5305, 10959, 282, 1382, 4681, 454, 1892, 634, 814, 6255, 698, 568, 1948, 324, 6470, 1729, 3008, 298, 454, 2791, 666, 1265, 856, 811, 827, 519, 5859, 1934, 4179, 2517, 4178, 8807, 797, 10993, 16896, 27160, 6470, 1729, 2532, 563, 8923, 1577, 721, 917, 875, 596, 666, 5000, 707, 1053, 547, 2307, 827, 23480, 543, 1832, 2933, 543, 741, 2828, 2922, 269, 1284, 666, 1683, 811, 2326, 593, 7662, 269, 0, 20373, 281, 476, 1015, 22367, 651, 8416, 12810, 12229, 1280, 12861, 5440, 1108, 30894, 1215, 1677, 8073, 589, 8416, 12810, 8437, 1677, 7046, 589, 9509, 21653, 12005, 8416, 12810, 4201, 11703, 1948, 8660, 277, 276, 454, 5228, 519, 1657, 476, 14862, 273, 343, 279, 4510, 21368, 799, 568, 851, 540, 519, 834, 14888, 312, 10261, 539, 4840, 29715, 800, 269, 8281, 713, 3239, 585, 1863, 538, 18074, 6571, 519, 3903, 834, 24591, 2407, 6571, 4840, 10964, 578, 269, 1403, 596, 798, 711, 1265, 519, 3169, 6571, 596, 616, 3168, 585, 267, 1287, 979, 585, 513, 5065, 610, 2362, 6571, 563, 2710, 532, 5122, 11443, 676, 596, 666, 581, 16602, 269, 901, 568, 1419, 2523, 865, 1022, 942, 596, 3668, 519, 1344, 543, 519, 4052, 1995, 538, 5122, 1919, 269, 634, 1448, 568, 596, 666, 711, 798, 513, 4693, 543, 5470, 4640, 950, 2324, 609, 5122, 11443, 269, 12983, 1223, 1871, 596, 513, 19539, 610, 5310, 707, 1272, 269, 6904, 568, 1946, 1318, 1354, 862, 9760, 1022, 798, 32717, 3917, 712, 1345, 5122, 7816, 267, 596, 723, 547, 2911, 547, 930, 5122, 11443, 4555, 1152, 547, 2327, 596, 2907, 917, 1018, 596, 616, 22589, 269, 6271, 3364, 827, 5122, 11443, 568, 2356, 602, 12904, 4043, 547, 581, 12094, 27573, 269, 4935, 267, 621, 568, 2965, 5963, 4443, 547, 9787, 799, 3283, 979, 2059, 609, 799, 269, 12989, 786, 581, 519, 1034, 2442, 5122, 11443, 2055, 4171, 6114, 3335, 4125, 4778, 602, 666, 948, 596, 5431, 1142, 1367, 1880, 5911, 269, 910, 1548, 1772, 589, 1849, 2216, 15379, 18065, 454, 310, 1301, 1575, 8018, 1280, 4841, 24542, 1656, 11822, 27989, 24953, 1575, 8018, 1280, 4841, 11822, 18065, 6520, 2986, 21654, 27989, 6096, 634, 15379, 27989, 1280, 8866, 6096, 1948, 5379, 279, 278, 454, 11795, 2159, 8416, 12810, 7151, 2060, 20698, 3752, 1386, 962, 19834, 5262, 2159, 8416, 12810, 7151, 2060, 20698, 3752, 1386, 8416, 12810, 532, 1948, 28147, 278, 454, 1692, 798, 1411, 18514, 513, 4210, 777, 888, 3080, 540, 835, 540, 519, 1034, 7839, 5122, 11443, 14511, 568, 3823, 875, 547, 5911, 513, 6467, 269, 4634, 1498, 1818, 946, 540, 17176, 693, 1753, 568, 1360, 2653, 267, 11443, 835, 1880, 949, 1134, 711, 581, 602, 9296, 6088, 585, 3025, 269, 1323, 10396, 14114, 13697, 6467, 568, 9090, 3833, 2241, 547, 5911, 269, 1703, 616, 1114, 5686, 540, 17176, 267, 855, 585, 713, 1383, 267, 1577, 781, 2161, 596, 1522, 581, 8380, 538, 513, 2582, 1790, 1961, 547, 24327, 6467, 267, 606, 11212, 1455, 6467, 630, 663, 849, 519, 14724, 1916, 2791, 786, 1265, 476, 274, 24698, 540, 12904, 538, 513, 1360, 3044, 2582, 1790, 1961, 547, 24327, 6467, 281, 3109, 267, 3043, 267, 543, 538, 23024, 27624, 269, 590, 680, 823, 519, 3109, 5911, 538, 1079, 543, 6443, 873, 936, 519, 12363, 25336, 910, 1175, 835, 593, 6305, 7132, 519, 824, 547, 519, 3490, 17684, 689, 519, 6467, 269, 634, 3043, 5911, 5713, 585, 513, 2707, 540, 796, 5793, 32152, 3167, 1379, 543, 568, 3226, 3921, 27274, 5532, 883, 513, 9543, 25549, 12363, 17684, 630, 324, 3052, 1421, 8988, 1040, 670, 809, 909, 519, 13476, 7874, 5911, 2509, 519, 2666, 17684, 540, 707, 9757, 1689, 563, 4322, 3527, 1131, 4749, 581, 6190, 547, 5352, 513, 6093, 23396, 960, 1510, 513, 14196, 269, 11048, 267, 538, 2013, 596, 616, 2356, 711, 21407, 799, 596, 666, 14892, 519, 20089, 5265, 543, 5265, 596, 2484, 1732, 5512, 519, 4648, 1205, 621, 2944, 607, 513, 12990, 269, 9406, 1310, 782, 267, 972, 568, 513, 24117, 1946, 713, 4305, 568, 10838, 519, 1034, 7928, 5122, 11443, 28780, 16761, 676, 513, 2603, 540, 1004, 563, 1692, 798, 1411, 18514, 513, 9919, 4979, 27684, 888, 2690, 1082, 7778, 267, 519, 1259, 547, 5911, 513, 18109, 10178, 568, 2356, 835, 1851, 9247, 519, 1034, 7928, 5122, 11443, 2152, 269, 1677, 14458, 713, 20089, 267, 596, 949, 946, 835, 6467, 585, 1175, 513, 2582, 18109, 10178, 269, 1677, 5911, 519, 24158, 267, 621, 781, 1175, 513, 2339, 540, 8220, 519, 3109, 5911, 540, 707, 18109, 10178, 547, 707, 3109, 5911, 540, 707, 1689, 269, 1403, 972, 568, 513, 1769, 27954, 267, 519, 4544, 5911, 991, 547, 581, 1644, 547, 519, 3109, 5911, 689, 519, 1689, 11338, 563, 1692, 666, 1411, 7827, 513, 6601, 6033, 543, 875, 1684, 596, 23453, 513, 4427, 19937, 888, 4407, 513, 2603, 540, 20089, 547, 798, 891, 11645, 2933, 267, 1034, 1004, 616, 5227, 547, 10519, 606, 3167, 1014, 538, 922, 1747, 269, 898, 2731, 568, 3606, 10427, 543, 4061, 5739, 585, 1082, 1004, 547, 1449, 547, 6467, 513, 30517, 610, 1331, 513, 8470, 269, 1677, 2285, 596, 606, 2219, 827, 713, 4990, 540, 7839, 5122, 11443, 2152, 267, 596, 1058, 1058, 798, 519, 2816, 593, 513, 3636, 5122, 8470, 269, 9701, 596, 596, 1058, 711, 1256, 917, 1018, 713, 10522, 267, 596, 786, 581, 1152, 711, 28459, 1540, 547, 1685, 519, 4305, 13951, 269, 4634, 952, 596, 2731, 723, 547, 13358, 2484, 811, 676, 8939, 513, 11285, 3167, 1014, 267, 621, 781, 15186, 10930, 543, 1256, 811, 4052, 547, 2119, 543, 798, 713, 2864, 269, 910, 476, 1015, 22367, 651, 8416, 12810, 12229, 1280, 12861, 5440, 1108, 30894, 1215, 1677, 8073, 589, 8416, 12810, 8437, 1677, 7046, 589, 9509, 21653, 12005, 8416, 12810, 4201, 11703, 1948, 8660, 277, 276, 454, 2467, 616, 2965, 1434, 4128, 1946, 891, 616, 3335, 3833, 7654, 519, 1034, 4122, 16761, 5122, 11443, 2152, 269, 3807, 835, 267, 1896, 2015, 621, 568, 2653, 547, 798, 267, 543, 1079, 267, 789, 2811, 519, 7839, 5122, 4247, 693, 707, 2777, 269, 1809, 1287, 596, 2822, 2299, 12582, 1405, 1305, 707, 3354, 693, 1981, 609, 707, 9837, 547, 4688, 2724, 269, 634, 30367, 1223, 1256, 581, 3648, 8273, 1058, 596, 3343, 547, 2759, 3790, 543, 798, 606, 5122, 11443, 4305, 1510, 2348, 7850, 4656, 610, 2324, 1995, 563, 8368, 1206, 1923, 27317, 18074, 21368, 281, 476, 14225, 279, 1535, 476, 14225, 279, 454, 328, 17490, 476, 276, 476, 276, 306, 21368, 281, 476, 25953, 1535, 476, 13647, 277, 454, 328, 17490, 476, 277, 476, 277, 306, 21368, 281, 476, 16020, 1535, 476, 15836, 275, 454, 328, 17490, 476, 277, 270, 277, 306, 9578, 476, 278, 9578, 476, 279, 9578, 21368, 281, 476, 10482, 271, 1535, 476, 4572, 271, 454, 4517, 5514, 22994, 3796, 18074, 21368, 281, 476, 11740, 1535, 476, 25953, 454, 267, 476, 25851, 1535, 476, 31634, 454, 267, 476, 24798, 1535, 476, 12553, 271, 454, 4517, 5514, 22994, 3796, 9509, 18074, 21368, 281, 476, 10482, 271, 1535, 476, 4572, 271, 454, 300, 24213, 18074, 21368, 281, 476, 21878, 1535, 476, 8517, 454, 267, 476, 278, 6924, 1535, 476, 12553, 271, 454, 300, 24213, 1627, 8461, 1923, 21236, 2473, 21368, 281, 476, 13893, 271, 1535, 476, 16348, 271, 454, 8368, 1206, 1627, 8461, 1923, 27317, 1160, 21368, 281, 476, 16348, 271, 1535, 476, 16348, 271, 454, 310, 1938, 10547, 21368, 281, 476, 12553, 271, 1535, 476, 8517, 454, 267, 476, 13893, 271, 1535, 476, 12010, 454, 267, 476, 12739, 271, 1535, 476, 10755, 271, 454, 267, 476, 4572, 271, 1535, 476, 6344, 271, 454, 267, 476, 16348, 271, 1535, 476, 8182, 271, 454, 14303, 2088, 22453, 21368, 281, 476, 25971, 271, 1535, 476, 5197, 271, 454, 267, 476, 29575, 271, 1535, 476, 13301, 271, 454, 8461, 21368, 281, 476, 12553, 271, 1535, 476, 24798, 454, 267, 476, 15793, 277, 1535, 476, 278, 6924, 454, 267, 476, 8182, 271, 1535, 476, 12010, 454, 267, 476, 4572, 271, 1535, 476, 10482, 271, 454, 267, 476, 16348, 271, 1535, 476, 13893, 271, 454, 19575, 571, 18074, 476, 275, 298, 21368, 281, 476, 29575, 271, 1535, 476, 21327, 271, 454, 19575, 571, 18074, 476, 276, 298, 21368, 281, 476, 24423, 271, 1535, 476, 25971, 271, 454, 19575, 571, 18074, 476, 279, 298, 21368, 281, 476, 278, 6924, 271, 1535, 476, 28242, 271, 454, 1607, 3239, 568, 3177, 1152, 585, 2123, 946, 269, 1403, 596, 1336, 1022, 2592, 10677, 539, 547, 16523, 267, 5225, 3346, 721, 543, 649, 786, 4894, 621, 269, 1284, 1810, 1405, 20053, 547, 4159, 1022, 10677, 6870, 2592, 563, 16665, 2201, 16530, 12810, 21145, 0, 1103, 713, 2022, 631, 6545, 574, 13880, 8500, 13847, 3184, 476, 277, 538, 1010, 1007, 1433, 267, 700, 4673, 767, 281, 1250, 1101, 5943, 269, 901, 2022, 568, 827, 6538, 4238, 543, 568, 513, 1390, 29194, 563, 1103, 713, 3184, 596, 786, 1451, 875, 547, 1305, 909, 700, 4673, 767, 547, 960, 609, 835, 540, 519, 1082, 6538, 9817, 602, 621, 7028, 269, 1411, 786, 581, 1287, 5189, 547, 700, 4673, 767, 779, 2372, 2044, 12706, 518, 602, 2306, 2870, 543, 5883, 1239, 538, 519, 6538, 513, 30089, 269, 2991, 602, 596, 786, 1205, 606, 4367, 547, 700, 4673, 767, 779, 3532, 8629, 4039, 1049, 29570, 630, 3036, 300, 264, 1572, 4432, 13228, 550, 543, 1294, 875, 621, 1223, 948, 4383, 1644, 1239, 269, 3973, 596, 786, 1451, 875, 596, 666, 946, 700, 4673, 767, 779, 13214, 5832, 532, 543, 2372, 2044, 12706, 518, 12427, 547, 6882, 267, 4990, 267, 1895, 543, 9192, 27366, 1239, 585, 2417, 4238, 269, 0, 11917, 16227, 1893, 4249, 513, 5458, 3815, 538, 8744, 856, 513, 1268, 779, 23141, 267, 607, 519, 1259, 789, 946, 1893, 2636, 873, 547, 1514, 1125, 543, 1628, 3347, 538, 741, 2146, 269, 1280, 2576, 945, 568, 2901, 513, 19636, 610, 1617, 13308, 267, 789, 616, 2111, 798, 891, 3252, 1210, 513, 9259, 1572, 3009, 15175, 610, 6037, 1481, 1645, 269, 8943, 1606, 342, 26677, 3217, 1747, 950, 513, 19636, 1268, 5956, 606, 19039, 766, 538, 835, 1893, 543, 1287, 17176, 547, 519, 824, 1893, 630, 5719, 808, 784, 267, 476, 1001, 272, 282, 2568, 1040, 2201, 513, 6626, 4336, 267, 713, 1826, 540, 2259, 8813, 896, 519, 2165, 6037, 4833, 1317, 540, 922, 2189, 2495, 6194, 10155, 563, 2005, 2115, 547, 581, 5018, 602, 3009, 1606, 342, 26677, 3884, 1406, 513, 8984, 540, 19636, 1143, 602, 779, 2944, 585, 13418, 269, 898, 568, 849, 2731, 6225, 538, 519, 4928, 269, 898, 11226, 538, 1312, 1565, 519, 2296, 1893, 543, 6340, 621, 21295, 569, 269, 3194, 2982, 3267, 1613 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 532, 547, 3251, 16280, 543, 30489, 622, 267, 649, 723, 519, 17195, 540, 2413, 29319, 899, 8022, 538, 938, 5321, 543, 513, 7123, 1426, 3761, 1032, 5180, 269, 11835, 1456, 513, 15547, 610, 6220, 693, 1753, 23736, 267, 971, 607, 1210, 513, 19335, 11332, 267, 666, 948, 721, 6633, 1055, 4430, 8477, 543, 6460, 11950, 883, 1648, 3079, 540, 13936, 873, 607, 3063, 2597, 563, 6962, 281, 22737, 15604, 25682, 454, 1103, 3932, 267, 5162, 2597, 2744, 666, 581, 11911, 547, 1585, 2188, 971, 607, 31952, 11661, 267, 3668, 540, 3635, 267, 25161, 6197, 267, 543, 3929, 4189, 15427, 676, 519, 5162, 21462, 269, 1717, 267, 676, 1818, 6857, 5079, 827, 938, 2732, 267, 2655, 23082, 14432, 4313, 3536, 609, 8902, 8925, 267, 543, 4509, 513, 5812, 3635, 6296, 267, 649, 666, 3927, 4383, 938, 2597, 1282, 519, 5162, 3275, 269, 898, 781, 942, 547, 2736, 519, 4783, 543, 9784, 5162, 9716, 2336, 10673, 1405, 1577, 5162, 2597, 2744, 2061, 596, 689, 4743, 707, 1655, 543, 4509, 513, 2635, 6197, 269, 3399, 7598, 1507, 2242, 2221, 269, 7994, 14312, 3536, 267, 3251, 9308, 3742, 267, 543, 1491, 1416, 540, 707, 2790, 1134, 1373, 269, 2060, 11428, 543, 18094, 267, 596, 666, 20630, 519, 5162, 2597, 2744, 6370, 543, 10836, 6793, 543, 8902, 950, 5614, 21128, 256, 0, 309, 329, 6242, 8187, 5211, 2817, 5244, 729, 3964, 676, 519, 7027, 540, 519, 3687, 8651, 593, 4728, 476, 1724, 267, 476, 1708, 274, 269, 634, 6288, 14014, 519, 3003, 2095, 540, 519, 966, 329, 6242, 5211, 543, 2185, 29815, 2456, 630, 7804, 3626, 267, 918, 731, 6062, 336, 267, 645, 25612, 333, 9809, 320, 267, 543, 1744, 2313, 3821, 264, 8720, 476, 1321, 267, 278, 2767, 25614, 269, 901, 5117, 3568, 1271, 9265, 281, 936, 476, 272, 267, 1911, 3662, 2249, 267, 1519, 476, 1428, 13155, 2831, 543, 2030, 2249, 563, 763, 2817, 5244, 729, 3964, 5097, 547, 2149, 519, 5757, 267, 922, 29815, 2456, 267, 543, 519, 5117, 269, 634, 29271, 3344, 540, 519, 14860, 616, 519, 1267, 540, 3768, 626, 32328, 2067, 3157, 543, 519, 18900, 11175, 540, 519, 1004, 945, 2661, 543, 960, 1934, 269, 28046, 602, 568, 1759, 593, 519, 18399, 540, 519, 14860, 267, 971, 607, 19482, 267, 31610, 267, 543, 8289, 572, 4370, 267, 538, 4999, 609, 2069, 2676, 529, 15095, 609, 519, 6662, 540, 7863, 519, 5757, 779, 2067, 1272, 269, 12655, 9235, 543, 6683, 616, 519, 1079, 1292, 2238, 602, 786, 2327, 519, 2104, 13884, 540, 2950, 538, 519, 9962, 966, 329, 6242, 16935, 563, 1103, 5698, 609, 2199, 7264, 543, 4213, 2676, 1492, 24640, 1014, 2229, 267, 543, 5726, 4966, 786, 3715, 606, 7471, 2359, 1544, 602, 14014, 519, 2067, 4898, 540, 519, 966, 329, 6242, 543, 13976, 513, 14762, 2199, 2146, 563, 2414, 2226, 10103, 1063, 519, 6870, 5757, 267, 519, 2199, 4346, 267, 543, 875, 649, 946, 519, 14860, 267, 606, 7471, 2359, 1544, 786, 581, 2919, 269, 3143, 835, 6487, 519, 1858, 607, 1134, 607, 596, 267, 519, 1004, 945, 2661, 543, 960, 1934, 269, 2659, 5133, 568, 1898, 585, 519, 1967, 540, 519, 966, 329, 6242, 8187, 5211, 2817, 5244, 269, 3683, 519, 1985, 1906, 3275, 267, 649, 786, 3180, 11925, 547, 2327, 649, 11753, 707, 2115, 883, 519, 1259, 519, 6288, 13333, 269, 8625, 267, 649, 786, 1118, 621, 513, 1279, 3856, 1967, 563, 2690, 2055, 827, 519, 11925, 267, 2328, 547, 281, 16942, 11333, 2593, 0, 763, 13030, 540, 6469, 5208, 814, 585, 513, 1279, 942, 1044, 5433, 2066, 3885, 782, 936, 519, 8608, 269, 1703, 616, 1082, 2010, 540, 6469, 5208, 267, 855, 1142, 5673, 593, 1367, 2070, 269, 21894, 519, 2470, 540, 5208, 267, 782, 540, 873, 3100, 547, 2671, 930, 4162, 282, 8754, 519, 4214, 2016, 538, 713, 1957, 786, 2759, 2066, 782, 269, 23582, 5208, 666, 581, 3989, 607, 513, 4806, 540, 2623, 538, 1022, 2078, 602, 568, 1031, 547, 2744, 610, 2226, 1379, 543, 1852, 936, 606, 15982, 7649, 269, 18816, 568, 2168, 267, 4638, 267, 3929, 267, 2804, 610, 5626, 3527, 267, 610, 6937, 540, 3527, 602, 3310, 3267, 0, 21938, 568, 4563, 3778, 13600, 269, 1306, 649, 8661, 519, 18517, 540, 4563, 1004, 538, 938, 2950, 267, 24054, 267, 16844, 543, 29621, 5741, 20180, 528, 595, 2106, 628, 807, 13879, 19595, 721, 540, 1946, 649, 849, 991, 547, 11168, 519, 2956, 540, 14120, 4563, 7772, 563, 2026, 6167, 6195, 4378, 2293, 4563, 3778, 13600, 267, 24054, 267, 16844, 543, 29621, 5741, 20180, 528, 595, 2106, 628, 807, 13879, 8843, 1200, 18759, 593, 14120, 4563, 7772, 563, 1103, 519, 24463, 540, 4563, 6228, 267, 972, 781, 513, 11958, 4800, 543, 7524, 8142, 602, 10237, 919, 3564, 519, 6626, 2239, 540, 6560, 543, 6043, 267, 513, 11958, 4800, 22993, 538, 519, 1419, 27492, 331, 10541, 5898, 540, 4563, 7772, 269, 1306, 649, 22632, 4563, 3778, 13600, 267, 1577, 721, 7618, 596, 827, 4563, 7772, 563, 1607, 11958, 4800, 17706, 1235, 609, 513, 1686, 540, 6043, 267, 1141, 4563, 2043, 267, 585, 5553, 267, 723, 1044, 16413, 540, 6668, 6127, 538, 519, 3068, 540, 14488, 269, 634, 6284, 602, 789, 723, 1185, 547, 960, 7466, 607, 2182, 585, 3476, 568, 711, 1175, 606, 11760, 618, 540, 6830, 3363, 855, 513, 8086, 540, 513, 1062, 29227, 4563, 11668, 24491, 8393, 269, 6736, 713, 6560, 267, 972, 6013, 513, 3532, 5168, 281, 4563, 1004, 616, 711, 9003, 3989, 676, 2352, 8062, 855, 676, 741, 2702, 547, 1265, 7772, 8015, 14488, 269, 4563, 7772, 568, 12316, 267, 7682, 532, 519, 1318, 547, 8788, 543, 29379, 532, 8103, 538, 513, 1158, 602, 814, 1419, 8179, 547, 20912, 621, 563, 2026, 649, 8661, 4563, 3778, 13600, 267, 649, 5431, 1312, 3140, 29217, 543, 519, 1459, 4641, 267, 14344, 519, 2597, 540, 8194, 5645, 543, 519, 5898, 8329, 547, 519, 1158, 269, 901, 11812, 19156, 11958, 4800, 607, 513, 20982, 957, 540, 4187, 1996, 1949, 3710, 547, 16401, 621, 269, 3958, 267, 4101, 519, 10206, 602, 1964, 568, 513, 17195, 267, 711, 513, 13766, 267, 3587, 1898, 269, 1280, 519, 4563, 2146, 267, 1964, 568, 513, 9097, 957, 1996, 513, 24041, 2497, 14762, 593, 10419, 783, 11668, 267, 513, 18326, 1996, 519, 2239, 9598, 908, 4502, 13615, 547, 2324, 547, 25874, 563, 1103, 713, 11812, 267, 621, 781, 2629, 585, 1875, 5174, 331, 871, 2043, 547, 11760, 543, 5491, 4563, 7418, 269, 4563, 1686, 3884, 1405, 513, 2427, 8663, 282, 621, 781, 7533, 547, 519, 1480, 2239, 267, 5935, 4529, 267, 5322, 267, 543, 7239, 269, 20876, 891, 7418, 7569, 513, 7029, 547, 24905, 1782, 519, 2144, 5501, 540, 1271, 2984, 607, 1134, 607, 824, 10770, 1949, 540, 15746, 563, 3383, 267, 538, 4563, 1686, 3923, 543, 1169, 824, 3923, 1310, 267, 8661, 519, 10747, 7772, 267, 11760, 519, 5230, 11668, 267, 543, 7119, 538, 1318, 995, 1964, 269, 901, 7104, 11812, 568, 811, 982, 3413, 15256, 4502, 282, 621, 781, 513, 9097, 1219, 4800, 1996, 1949, 602, 3343, 547, 27298, 621, 269, 2913, 519, 7772, 14754, 581, 513, 15266, 547, 2146, 6043, 267, 513, 12576, 602, 621, 29263, 1996, 782, 12918, 563, 4910, 1545, 585, 4563, 3778, 13600, 454, 268, 5988, 568, 4563, 3778, 13600, 910, 4516, 28022, 454, 268, 4563, 3778, 13600, 476, 1708, 275, 281, 12700, 267, 27484, 543, 17959, 689, 3778, 454, 268, 4563, 3778, 13600, 476, 1708, 275, 676, 519, 2338, 3245, 10803, 4516, 454, 268, 1133, 17569, 532, 4563, 20717, 689, 634, 21829, 547, 634, 18103, 2435, 268, 634, 17848, 454, 268, 25214, 24935, 4563, 20717, 268, 589, 22062, 566, 2060, 29895, 344, 11066, 268, 717, 580, 1326, 1206, 454, 268, 1280, 519, 2528, 609, 2549, 7701, 623, 1551, 529, 0, 6701, 596, 8049, 547, 917, 1018, 568, 512, 623, 2562, 286, 1411, 723, 2097, 547, 519, 1318, 1747, 607, 594, 993, 2469, 547, 2995, 596, 3388, 827, 512, 623, 2562, 538, 513, 1360, 2241, 7778, 269, 9453, 2417, 4901, 1577, 779, 2253, 547, 917, 1018, 568, 512, 623, 2562, 888, 1103, 2221, 779, 3059, 2085, 267, 2228, 12948, 814, 1831, 606, 7533, 851, 540, 938, 2729, 267, 5356, 13418, 543, 10333, 547, 4383, 938, 18083, 269, 1717, 267, 609, 519, 2640, 540, 3059, 12948, 849, 2097, 4145, 827, 3354, 269, 1677, 2232, 891, 4145, 267, 2883, 5238, 723, 5189, 1585, 3354, 3800, 267, 1519, 519, 570, 6261, 2562, 269, 634, 570, 6261, 2562, 267, 610, 17791, 7483, 9608, 22384, 7089, 267, 568, 513, 3354, 4183, 602, 8591, 606, 3063, 4494, 540, 4027, 547, 2228, 543, 6049, 12948, 8852, 269, 769, 713, 5816, 267, 649, 786, 2263, 519, 4644, 540, 519, 570, 6261, 2562, 267, 875, 621, 1568, 267, 543, 922, 1909, 538, 17420, 707, 2883, 1344, 563, 1432, 1772, 570, 623, 2562, 888, 763, 570, 6261, 2562, 568, 513, 2189, 25948, 3009, 602, 568, 9783, 676, 513, 4871, 547, 922, 5561, 585, 5150, 15146, 543, 2228, 12948, 8852, 269, 898, 568, 1114, 689, 519, 2834, 11083, 300, 623, 2562, 1031, 585, 11198, 532, 6666, 543, 568, 4481, 2966, 547, 2278, 1125, 1875, 2275, 1662, 8852, 5342, 998, 6049, 610, 4950, 12948, 9055, 563, 1692, 6496, 634, 570, 6261, 2562, 4518, 888, 268, 9129, 340, 766, 281, 1879, 513, 6075, 18934, 338, 538, 2228, 610, 6049, 12948, 2533, 267, 519, 4871, 2488, 873, 609, 513, 570, 6261, 2562, 269, 901, 570, 6261, 2562, 568, 2356, 2366, 998, 513, 5150, 2792, 8756, 267, 971, 607, 590, 5960, 610, 4757, 267, 547, 2327, 22637, 563, 268, 7638, 2305, 281, 1677, 2347, 513, 11834, 267, 519, 6075, 568, 2838, 547, 1683, 1312, 741, 2834, 12948, 22754, 630, 7945, 607, 2272, 1297, 543, 10957, 264, 543, 519, 570, 6261, 2562, 563, 268, 8191, 1436, 281, 634, 570, 6261, 2562, 6411, 607, 606, 3606, 4494, 540, 28431, 269, 898, 5849, 602, 1256, 952, 2576, 12374, 1569, 547, 513, 6075, 779, 2272, 1344, 267, 789, 3112, 4163, 856, 8852, 1510, 519, 570, 6261, 2562, 563, 268, 8232, 21474, 281, 24434, 3335, 2936, 3354, 3800, 547, 2061, 18977, 1569, 543, 2149, 519, 570, 6261, 2562, 689, 1373, 19847, 269, 1280, 1383, 267, 972, 949, 581, 7182, 593, 519, 1297, 540, 8942, 547, 4283, 519, 570, 6261, 2562, 267, 543, 5561, 949, 581, 2838, 547, 1689, 741, 570, 6261, 2562, 5781, 563, 19119, 2986, 634, 570, 6261, 2562, 912, 268, 24046, 8232, 281, 634, 3119, 4324, 540, 519, 570, 6261, 2562, 568, 922, 9295, 547, 8476, 3354, 269, 898, 6971, 519, 1981, 540, 18977, 8852, 267, 7863, 5561, 689, 1761, 2883, 9271, 1813, 547, 12611, 563, 268, 5565, 6363, 18503, 24956, 1709, 281, 1635, 8506, 1312, 519, 2834, 12948, 22754, 543, 519, 570, 6261, 2562, 267, 519, 570, 6261, 2562, 5713, 607, 513, 1106, 540, 1079, 29969, 17452, 267, 1818, 621, 811, 4101, 585, 18977, 2043, 547, 1569, 6589, 563, 268, 1230, 1597, 1466, 281, 634, 570, 6261, 2562, 8591, 606, 3063, 4494, 540, 3354, 1510, 3648, 791, 5338, 519, 13418, 540, 2228, 543, 6049, 12948, 563, 268, 17793, 644, 10644, 281, 634, 570, 6261, 2562, 4249, 513, 2629, 1909, 538, 7303, 1585, 2010, 540, 12611, 267, 971, 607, 18977, 2508, 19132, 543, 3961, 17403, 563, 268, 21436, 30151, 281, 634, 4527, 540, 3354, 3800, 899, 519, 570, 6261, 2562, 1128, 1571, 6015, 538, 5561, 267, 8716, 873, 547, 946, 2228, 543, 6049, 12948, 2533, 1510, 3768, 826, 5855, 563, 2026, 519, 3059, 5251, 5170, 547, 11457, 267, 4180, 519, 3354, 540, 2228, 2883, 8852, 3788, 513, 1283, 10862, 585, 1312, 5561, 543, 2883, 5238, 269, 634, 570, 6261, 2562, 6763, 607, 513, 15266, 547, 519, 14942, 3268, 3144, 676, 8492, 547, 16102, 741, 5561, 685, 2883, 1344, 543, 2226, 519, 8699, 540, 741, 2533, 269, 1635, 8506, 713, 3606, 4494, 540, 17452, 267, 519, 570, 6261, 2562, 10240, 9094, 519, 3354, 540, 2228, 543, 6049, 12948, 267, 3850, 5561, 547, 2972, 519, 2640, 540, 3059, 8804, 609, 4708, 540, 2247, 269, 1306, 2029, 5170, 547, 4434, 267, 519, 570, 6261, 2562, 543, 2147, 3354, 3800, 786, 2693, 3136, 547, 11457, 267, 4180, 602, 938, 3059, 4205, 2611, 5150, 543, 6870, 563, 1692, 1684, 594, 5192, 3733, 570, 6261, 2562, 888, 3721, 338, 547, 5352, 7131, 20784, 570, 303, 2562, 454, 268, 16731, 7131, 20784, 3896, 630, 322, 1091, 331, 785, 807, 2593, 994, 268, 8437, 593, 519, 2048, 7049, 4733, 268, 552, 291, 3041, 570, 303, 2562, 685, 3095, 2139, 593, 1318, 2427, 563, 268, 9373, 707, 21398 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1135, 3149, 538, 513, 11356, 267, 585, 12719, 2777, 543, 1286, 11033, 267, 543, 585, 7446, 513, 1279, 26591, 15146, 3028, 616, 7543, 1510, 2178, 2979, 1983, 2560, 663, 519, 1152, 1259, 547, 1020, 2178, 2979, 1983, 568, 676, 3586, 2259, 563, 8072, 20797, 2306, 513, 812, 3501, 685, 6585, 3020, 585, 1100, 824, 2361, 1732, 982, 585, 2979, 269, 589, 1647, 610, 1164, 1153, 2875, 1590, 1305, 11735, 513, 5934, 540, 606, 5662, 585, 2979, 1169, 1554, 269, 4033, 982, 9499, 267, 3211, 948, 596, 23590, 543, 1174, 2035, 1732, 563, 5978, 4274, 21493, 5965, 2228, 13004, 3211, 602, 616, 2085, 543, 3446, 29003, 269, 6103, 30150, 2979, 3211, 585, 16504, 4569, 267, 25226, 267, 2776, 25575, 5040, 267, 10789, 267, 16387, 267, 26344, 5852, 267, 10803, 267, 2776, 4211, 531, 1529, 639, 543, 20145, 666, 581, 12193, 547, 2087, 2979, 1983, 267, 547, 1205, 6619, 610, 547, 1256, 6952, 909, 563, 2791, 949, 4647, 891, 17676, 2228, 2979, 3211, 538, 519, 7300, 3898, 267, 543, 1287, 1820, 543, 4757, 721, 741, 3435, 585, 513, 1863, 6268, 543, 2079, 676, 552, 307, 12460, 16447, 779, 4118, 4274, 21493, 563, 2791, 949, 4194, 891, 3211, 676, 3054, 610, 609, 707, 9905, 1247, 4974, 1927, 563, 763, 8382, 6206, 693, 519, 1439, 540, 1142, 4976, 2636, 585, 513, 1582, 3887, 1998, 6672, 563, 23114, 1242, 6732, 15397, 1681, 454, 324, 307, 12460, 13328, 3091, 10097, 835, 6823, 14633, 2661, 23468, 936, 519, 1357, 585, 24110, 918, 268, 1321, 267, 4530, 16721, 948, 585, 9208, 1242, 4255, 899, 14662, 2969, 267, 595, 690, 2969, 267, 30684, 267, 9399, 2969, 267, 20389, 267, 20554, 267, 4959, 7417, 543, 6673, 269, 1411, 949, 8430, 2228, 23468, 4245, 693, 707, 2123, 16516, 2053, 267, 782, 609, 513, 14559, 5174, 871, 2871, 5875, 2465, 269, 634, 1101, 835, 6823, 14633, 2228, 23468, 3992, 568, 2141, 17676, 267, 1100, 6718, 17185, 267, 1100, 5491, 3556, 2838, 563, 2690, 4267, 4882, 30055, 547, 1022, 2243, 610, 547, 1451, 2035, 267, 1491, 513, 17676, 14160, 19798, 563, 5591, 5491, 3556, 2838, 267, 1100, 17185, 547, 6718, 563, 9617, 1433, 513, 1863, 1362, 547, 2743, 513, 20131, 543, 1205, 948, 593, 1022, 1888, 596, 1616, 2336, 293, 650, 538, 519, 1025, 3471, 24121, 268, 634, 2960, 568, 606, 1271, 1418, 540, 519, 2560, 16414, 907, 16414, 2507, 602, 8952, 5739, 6878, 856, 540, 519, 1560, 543, 1898, 3688, 1369, 563, 268, 634, 2560, 16414, 2507, 568, 519, 9018, 4494, 540, 519, 2960, 540, 519, 1480, 1560, 269, 898, 568, 4481, 2966, 547, 2061, 5007, 17900, 689, 10024, 938, 1560, 563, 268, 2560, 16414, 16634, 568, 606, 1418, 540, 519, 2450, 540, 513, 31329, 1305, 693, 519, 9221, 855, 5594, 21266, 1540, 2509, 519, 2451, 563, 268, 2560, 16414, 16634, 948, 538, 32378, 540, 1973, 693, 519, 942, 540, 10138, 270, 2759, 563, 268, 634, 2560, 30957, 2560, 8796, 907, 568, 519, 1279, 8546, 998, 799, 519, 1426, 602, 649, 3548, 568, 5293, 563, 268, 5253, 11034, 338, 922, 3460, 998, 519, 9667, 1062, 538, 519, 5023, 267, 849, 1634, 607, 519, 16414, 2507, 907, 13570, 454, 268, 634, 2560, 16414, 2507, 2560, 16414, 907, 2007, 3949, 519, 5946, 543, 26307, 563, 293, 650, 769, 519, 1025, 3471, 24121, 268, 21210, 1062, 454, 268, 10552, 6676, 7410, 454, 268, 1325, 21747, 12324, 454, 268, 11370, 764, 531, 1315, 7394, 454, 268, 623, 4545, 805, 545, 10433, 454, 303, 878, 532, 585, 6732, 15397, 1681, 454, 30106, 583, 1681, 13268, 720, 1475, 11749, 7190, 1475, 22706, 630, 272, 268, 1321, 1070, 5441, 2008, 347, 276, 7886, 1475, 272, 13600, 28390, 16928, 2008, 347, 272, 8400, 1475, 272, 13600, 28390, 2764, 2008, 347, 1015, 7886, 1475, 274, 3275, 28390, 29483, 2008, 347, 1428, 7886, 1475, 274, 3275, 28390, 274, 4200, 2008, 347, 736, 7886, 1475, 275, 3275, 28390, 275, 4200, 2008, 347, 2004, 7886, 1475, 277, 3275, 28390, 14093, 280, 2008, 347, 1911, 7886, 1475, 1321, 3275, 28390, 23470, 280, 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 ]
[ 855, 1152, 519, 20327, 2059, 519, 513, 268, 543, 524, 14289, 723, 1044, 28367, 269, 769, 1840, 267, 543, 547, 2597, 519, 9295, 540, 519, 1114, 8833, 6329, 267, 1152, 8833, 6329, 609, 1895, 29702, 3677, 982, 476, 1911, 271, 544, 4882, 723, 1044, 2808, 269, 634, 1804, 606, 529, 582, 16552, 538, 519, 13093, 4577, 1062, 3254, 538, 8431, 269, 476, 275, 320, 630, 874, 517, 517, 2566, 2059, 519, 513, 14289, 1373, 5722, 2053, 3677, 982, 519, 13093, 517, 2566, 2059, 519, 524, 14289, 264, 814, 922, 5169, 538, 519, 4999, 540, 1079, 1292, 9424, 269, 634, 1101, 835, 568, 519, 1804, 606, 529, 582, 16552, 540, 519, 6182, 6686, 928, 17470, 9936, 585, 13093, 517, 12331, 609, 1895, 6991, 3677, 982, 476, 1911, 271, 544, 4882, 267, 543, 519, 2034, 835, 568, 519, 1114, 1689, 538, 13093, 517, 2551, 585, 1114, 12331, 269, 4935, 267, 649, 1265, 602, 13093, 517, 12331, 9070, 908, 2059, 519, 524, 14289, 2901, 723, 513, 1507, 6182, 6686, 928, 17470, 9936, 267, 513, 1507, 1689, 538, 519, 13093, 517, 2551, 610, 1360, 1507, 1895, 29702, 267, 543, 1131, 4061, 711, 3565, 547, 519, 24775, 7269, 693, 2110, 2053, 322, 2297, 563, 6781, 2332, 1470, 9273, 540, 3171, 303, 339, 2666, 15581, 3601, 454, 763, 2666, 15581, 3601, 540, 7542, 11424, 3171, 303, 339, 723, 1044, 7229, 1210, 8095, 1790, 6897, 1242, 5860, 6198, 3069, 630, 5263, 307, 264, 538, 519, 2199, 5860, 19406, 630, 299, 6395, 264, 607, 8045, 538, 519, 3009, 9474, 2562, 3951, 5655, 563, 763, 6475, 1700, 31020, 4295, 5872, 593, 519, 32447, 9211, 729, 6719, 676, 1788, 528, 268, 13774, 7757, 5951, 30372, 630, 5183, 310, 264, 6246, 267, 543, 519, 5951, 3252, 941, 9450, 538, 7077, 6329, 609, 606, 1648, 2759, 4752, 693, 476, 3066, 19134, 872, 543, 513, 2759, 4752, 585, 519, 5595, 7470, 540, 476, 4029, 19134, 872, 267, 799, 729, 6190, 547, 27721, 519, 2698, 1648, 585, 513, 10053, 737, 15304, 10386, 269, 5589, 760, 20934, 2230, 10386, 729, 5340, 1210, 519, 3933, 330, 1817, 560, 6261, 871, 10325, 609, 513, 737, 15304, 17450, 540, 476, 3953, 6398, 476, 3953, 6398, 476, 3953, 269, 2991, 11938, 267, 519, 24775, 6724, 585, 519, 3171, 303, 339, 700, 1015, 630, 303, 275, 270, 7825, 332, 264, 2497, 941, 1336, 547, 581, 513, 815, 476, 274, 269, 5952, 278, 3331, 483, 543, 524, 815, 476, 274, 269, 278, 8618, 3331, 483, 267, 799, 568, 13380, 547, 519, 8097, 2418, 513, 815, 476, 274, 269, 5952, 273, 3331, 483, 543, 524, 815, 476, 274, 269, 278, 1724, 3331, 483, 269, 634, 4611, 1871, 540, 524, 21669, 815, 476, 271, 269, 280, 4037, 568, 538, 1434, 6876, 609, 4603, 630, 322, 21669, 815, 476, 271, 269, 280, 5038, 1040, 634, 2199, 6419, 8090, 540, 519, 3171, 8444, 538, 519, 10288, 3171, 303, 339, 3889, 538, 519, 7542, 11424, 5123, 616, 476, 274, 269, 271, 4792, 13179, 289, 563, 2690, 519, 4164, 8568, 630, 15014, 264, 1533, 267, 649, 9772, 519, 2935, 1229, 2199, 8090, 630, 13036, 300, 264, 1935, 267, 799, 2829, 602, 4164, 24599, 1143, 666, 581, 24018, 607, 513, 1533, 1141, 10570, 6419, 8090, 616, 14477, 20218, 630, 328, 4318, 1421, 1875, 12258, 15035, 11275, 1143, 1040, 634, 667, 299, 300, 1935, 666, 581, 16866, 676, 6236, 1152, 897, 15035, 6419, 8090, 950, 519, 8095, 11399, 4226, 23993, 568, 711, 3144, 883, 2272, 269, 9747, 267, 519, 1966, 540, 9781, 4164, 24599, 1143, 3587, 513, 1966, 540, 9781, 4351, 14778, 540, 897, 15035, 8095, 3334, 269, 898, 666, 581, 12193, 676, 1210, 2027, 29610, 268, 12690, 3889, 630, 306, 304, 306, 1040, 589, 590, 304, 306, 568, 513, 16887, 2966, 2706, 3250, 3710, 540, 4998, 24775, 4609, 547, 17932, 519, 1034, 4143, 6292, 543, 1617, 15363, 9756, 3252, 540, 513, 4625, 2935, 1229, 5123, 630, 15014, 1931, 538, 938, 2013, 1040, 1306, 6751, 11191, 1591, 267, 649, 7550, 606, 6905, 24775, 1591, 540, 476, 3953, 8444, 630, 1626, 3171, 303, 339, 1770, 2281, 1040, 634, 2935, 1229, 2199, 4090, 1935, 630, 528, 590, 304, 306, 264, 2488, 513, 1732, 6609, 540, 519, 6751, 5123, 982, 519, 8095, 5991, 517, 1790, 6897, 1242, 9819, 267, 1256, 1510, 590, 8016, 267, 543, 3947, 1434, 2164, 585, 11275, 739, 9689, 630, 16838, 1510, 14298, 264, 4510, 563, 763, 3976, 23343, 1529, 730, 6751, 5123, 2982, 606, 7269, 540, 476, 271, 269, 1839, 260, 538, 519, 513, 14720, 1673, 3925, 543, 513, 5786, 540, 6567, 271, 269, 7871, 260, 538, 519, 524, 2000, 3430, 823, 4287, 950, 3001, 689, 519, 7542, 11424, 547, 519, 4164, 8568, 5123, 269, 4935, 267, 519, 17223, 524, 21669, 268, 7806, 1470, 540, 4164, 8568, 3171, 303, 339, 3587, 476, 271, 269, 280, 5038, 269, 634, 4397, 1689, 538, 519, 24775, 21635, 1063, 519, 29482, 543, 6751, 11775, 896, 11979, 2175, 568, 8612, 676, 519, 546, 14414, 3039, 15561, 538, 8431, 269, 476, 274, 322, 563, 19177, 27529, 2203, 540, 1875, 25668, 10329, 1533, 454, 763, 18784, 1614, 27529, 2203, 630, 300, 274, 26774, 264, 814, 1044, 2919, 547, 1174, 519, 2470, 543, 4720, 540, 519, 1875, 25668, 10329, 1533, 538, 8955, 7721, 322, 1243, 7542, 668, 1725, 1115, 3393, 269, 901, 2203, 814, 581, 5063, 4294, 547, 3171, 303, 339, 281, 290, 340, 676, 13690, 1782, 1696, 620, 4029, 269, 3371, 649, 3082, 519, 2203, 540, 13690, 1782, 1696, 620, 269, 547, 938, 3732, 540, 3171, 303, 339, 20543, 538, 513, 3327, 5119, 269, 1284, 2203, 519, 1062, 607, 2185, 13745, 8143, 31725, 281, 519, 3171, 303, 339, 5907, 8602, 282, 519, 3171, 303, 339, 8095, 8602, 282, 519, 3171, 303, 339, 13093, 517, 8602, 267, 543, 519, 3327, 5119, 8602, 269, 3962, 8602, 814, 922, 1378, 2404, 2837, 269, 7305, 476, 273, 26564, 519, 6724, 1031, 538, 519, 2203, 267, 519, 3002, 19206, 540, 519, 2185, 31725, 543, 3448, 23993, 9342, 1063, 519, 31725, 269, 1284, 4063, 602, 519, 13093, 517, 8602, 568, 4114, 13846, 676, 513, 3586, 3002, 4390, 936, 519, 24018, 2039, 585, 16134, 282, 713, 568, 20582, 676, 513, 1546, 25742, 2203, 540, 595, 874, 267, 799, 5267, 602, 1152, 513, 30050, 476, 274, 260, 1689, 3002, 4390, 1131, 2049, 538, 713, 2039, 269, 634, 2185, 4834, 540, 519, 2203, 616, 912, 763, 2203, 568, 12193, 6746, 1227, 585, 606, 29835, 540, 519, 5907, 2837, 609, 513, 8653, 540, 476, 2004, 535, 338, 269, 634, 3070, 5833, 568, 3254, 538, 8431, 269, 476, 274, 320, 563, 763, 4589, 17551, 602, 519, 1239, 5885, 519, 4681, 540, 713, 1353, 616, 2139, 1369, 519, 2376, 543, 922, 4675, 11915, 6176, 6119, 269, 2353, 824, 4143, 1239, 5885, 519, 4681, 540, 713, 1353, 616, 2139, 593, 7662, 563, 21812, 781, 4063, 281, 22219, 7186, 3788, 9243, 609, 2543, 547, 11758, 12302, 6811, 538, 3370, 7851, 543, 12250, 28930, 725, 563, 303, 8160, 267, 918, 5861, 1421, 543, 623, 8160, 20166, 269, 11760, 1489, 689, 519, 16528, 3194, 7027, 630, 23623, 1070, 519, 12928, 583, 543, 7705, 9931, 28086, 7690, 630, 326, 7949, 3143, 269, 476, 1001, 276, 269, 24879, 271, 1070, 519, 681, 7238, 660, 2102, 268, 30755, 978, 1598, 7238, 332, 1849, 13831, 267, 519, 3864, 5742, 779, 21222, 517, 476, 1708, 271, 3194, 543, 16743, 19510, 896, 16827, 6876, 3143, 269, 476, 278, 4391, 3583, 280, 630, 293, 4932, 307, 5588, 2207, 5723, 312, 15288, 264, 543, 519, 16528, 2817, 24486, 585, 17270, 630, 17928, 2975, 1916, 16978, 3055, 24045, 1570, 454, 15411, 7457, 901, 2376, 568, 13931, 896, 513, 11300, 12780, 21922, 476, 275, 269, 271, 4139, 17821, 267, 799, 14998, 946, 267, 4687, 267, 9542, 267, 3892, 543, 12093, 538, 1022, 5420, 610, 3898, 267, 607, 1279, 607, 596, 2285, 3617, 5491, 547, 519, 3312, 2278, 4433, 264, 543, 519, 2707, 267, 1683, 513, 3095, 547, 519, 11300, 12780, 12689, 267, 543, 5815, 952, 2242, 941, 1500, 269, 634, 2592, 610, 824, 3791, 5428, 1570, 538, 713, 2376, 616, 3769, 538, 519, 2376, 779, 11300, 12780, 12689, 267, 8259, 8612, 6382, 538, 513, 5491, 1899, 547, 519, 1570, 269, 1403, 1570, 568, 711, 3769, 538, 519, 2376, 779, 11300, 12780, 12689, 543, 707, 5497, 946, 568, 711, 15868, 676, 27152, 7939, 610, 20489, 519, 15868, 946, 267, 596, 786, 991, 547, 3489, 10479, 2047, 689, 519, 10677, 23649, 269, 1677, 2070, 513, 5299, 540, 713, 12689, 267, 3643, 5291, 2517, 16579, 633, 5570, 976, 3820, 270, 997, 5151, 270, 2421, 270, 275, 269, 271, 28918, 0, 17606, 779, 602, 6607, 538, 519, 7599, 2775, 3248, 310, 2314, 538, 519, 23863, 3248, 1805, 31104, 538, 519, 4339, 3248, 2691, 649, 7227, 998, 519, 3781, 3248, 5970, 5132, 282, 621, 779, 513, 2386, 914, 3034, 1765, 3245, 968, 2691, 1284, 11146, 892, 676, 5165, 328, 4692, 630, 10623, 520, 1005, 10370, 29953, 20703, 1047, 543, 16262, 332, 994, 1103, 519, 476, 3393, 1296, 2094, 31177, 14929, 729, 8547, 538, 519, 3162, 17588, 343, 540, 1715, 3840, 4975, 267, 621, 814, 1044, 513, 1106, 540, 7499, 4082, 547, 948, 1004, 4308, 609, 1585, 3029, 540, 14488, 267, 971, 607, 6710, 543, 10168, 563, 295, 760, 14929, 6035, 513, 2039, 540, 2635, 543, 3860, 5615, 538, 799, 1004, 1223, 7119, 267, 968, 763, 12866, 15689, 540, 31177, 14929, 2223, 1519, 900, 576, 4370, 267, 632, 324, 329, 11691, 267, 536, 1532, 1195, 532, 267, 1178, 29201, 1148, 267, 543, 1702, 269, 30880, 538, 1022, 610, 782, 540, 891, 2609, 3177, 513, 14984, 1907, 547, 1921, 609, 31177, 14929, 2528, 267, 547, 946, 31177, 14929, 547, 1174, 543, 2769, 741, 4606, 543, 547, 2322, 891, 4606, 547, 16268, 946, 563, 763, 2487, 16232, 9550, 814, 2451, 1082, 1004, 538, 519, 2197, 4743, 602, 649, 616, 811, 5258, 982, 2479, 2059, 7292, 267, 2797, 543, 2804, 3515, 269, 1280, 1082, 267, 972, 568, 513, 4250, 602, 713, 7941, 786, 1267, 538, 811, 7130, 267, 3441, 547, 519, 1604, 543, 2799, 6710, 269, 1306, 513, 1267, 267, 1004, 616, 4743, 14220, 543, 14129, 267, 543, 10478, 585, 2081, 547, 8756, 891, 4606, 883, 2318, 267, 16268, 5615, 547, 12115, 2933, 543, 547, 2119, 547, 1198, 2318, 1689, 538, 519, 1158, 563, 2005, 568, 693, 713, 942, 602, 519, 1158, 2115, 31177, 14929, 811, 982, 2479, 563, 763, 17629, 31177, 14929, 7467, 630, 308, 295, 295, 300, 264, 729, 8547, 607, 513, 1747, 1141, 519, 1686, 543, 6891, 540, 31177, 14929, 666, 581, 12873, 543, 10114, 3293, 269, 1656, 693, 519, 4295, 540, 519, 772, 295, 295, 300, 5048, 568, 602, 31177, 14929, 5932, 513, 2796, 538, 799, 649, 666, 2648, 6000, 543, 1866, 267, 7488, 540, 519, 14488, 649, 3068, 269, 2334, 15962, 18879, 568, 711, 1152, 519, 1883, 547, 4543, 721, 11883, 1282, 17173, 2053, 267, 855, 849, 513, 3532, 6174, 585, 1514, 1689, 563, 763, 1883, 547, 519, 15962, 1935, 540, 31177, 14929, 568, 1373, 1930, 547, 543, 16561, 540, 1114, 2833, 267, 5380, 543, 4664, 2443, 1519, 1346, 649, 1265, 13943, 610, 1253, 4292, 995, 269, 1635, 1373, 1930, 267, 649, 616, 538, 513, 1732, 2990, 547, 1921, 609, 267, 2864, 982, 4339, 609, 267, 6000, 543, 1866, 563, 4517, 538, 713, 6891, 267, 593, 8285, 4303, 267, 519, 772, 295, 295, 300, 786, 5305, 968, 1626, 645, 1513, 476, 275, 31177, 14929, 2223, 513, 28094, 17581, 4758, 5639, 547, 476, 2412, 5667, 11220, 5159, 689, 1472, 519, 1158, 945, 2263, 513, 2039, 540, 2035, 543, 4798, 563, 2414, 2417, 2263, 875, 31177, 14929, 666, 581, 6956, 543, 8246, 607, 513, 6174, 585, 1689, 267, 594, 12038, 609, 1896, 1004, 3238, 609, 519, 772, 295, 295, 300, 267, 1519, 519, 1071, 1922, 10133, 540, 16200, 4975, 19475, 543, 519, 772, 295, 295, 300, 779, 1071, 1922, 10133, 543, 5518, 267, 27743, 645, 1075, 8457, 282, 15713, 772, 295, 295, 300, 8274, 540, 6034, 832, 4759, 543, 519, 16628, 540, 570, 20207, 15196, 30007, 267, 7338, 18234, 2006, 282, 5853, 532, 772, 295, 295, 300, 4604, 4759, 267, 31177, 14929, 22082, 543, 10579, 918, 4669, 529, 645, 869, 282, 16073, 267, 29382, 543, 968, 305, 1442, 10060, 11819, 540, 25990, 2223, 5213, 3534, 667, 685, 290, 745, 345, 282, 543, 29382, 14880, 17578, 582, 1115, 328, 267, 849, 1634, 607, 5165, 328, 4692, 267, 945, 5340, 519, 1291, 2582, 593, 519, 7131, 267, 968, 2691, 1284, 11146, 892, 630, 10623, 520, 1005, 10370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1079, 1034, 19535, 2516, 540, 2609, 538, 519, 11270, 545, 7305, 616, 519, 12659, 8932, 8407, 543, 10300, 11077, 563, 11004, 616, 12659, 8932, 8407, 602, 616, 519, 1034, 19535, 8407, 593, 519, 13350, 3349, 543, 10300, 11077, 799, 616, 519, 1034, 19535, 1875, 5471, 1023, 454, 763, 1079, 9587, 540, 2609, 538, 519, 13350, 3349, 602, 2270, 519, 1034, 19535, 2609, 616, 9587, 476, 272, 543, 476, 1704, 267, 519, 12659, 8932, 8407, 543, 10300, 11077, 6606, 563, 1492, 12659, 8932, 543, 12659, 8932, 3618, 8407, 630, 25364, 476, 272, 543, 476, 273, 264, 616, 519, 1034, 19535, 563, 763, 12659, 8932, 8407, 543, 519, 10300, 11077, 616, 519, 1034, 19535, 2516, 543, 1851, 873, 267, 21473, 6458, 543, 14806, 710, 616, 519, 1034, 19535, 267, 2523, 609, 1142, 824, 563, 23744, 519, 1034, 19535, 2609, 538, 519, 13350, 3349, 616, 1336, 538, 519, 1101, 1079, 630, 3847, 2173, 739, 264, 9587, 281, 519, 12659, 8932, 4496, 543, 12659, 8932, 1274, 2195, 563, 763, 12659, 8932, 8407, 616, 811, 19535, 1317, 789, 2746, 11593, 609, 519, 11626, 5135, 8108, 741, 9757, 27911, 543, 18038, 1938, 563, 763, 1034, 19535, 2609, 616, 1336, 538, 2516, 476, 272, 630, 1779, 8932, 8407, 264, 543, 476, 1704, 630, 15595, 11077, 264, 799, 2270, 519, 2609, 609, 835, 32447, 6475, 543, 5722, 32447, 9211, 6606, 563, 2704, 330, 8932, 8407, 568, 519, 1034, 19535, 1895, 269, 5445, 616, 1360, 19535, 8407, 269, 5445, 798, 711, 2049, 11884, 538, 2470, 563, 294, 12952, 594, 543, 23446, 563, 27026, 476, 272, 519, 1325, 330, 8932, 5450, 1023, 543, 6828, 476, 273, 519, 1325, 330, 13824, 5450, 1023, 269, 6828, 476, 272, 568, 811, 19535, 982, 6828, 476, 273, 7868, 1614, 2101, 19535, 2516, 540, 2609, 616, 519, 12659, 8932, 8407, 267, 1325, 330, 13824, 3047, 543, 10300, 11077, 630, 28205, 2516, 616, 13042, 476, 272, 610, 29722, 267, 476, 273, 610, 4083, 288, 267, 543, 476, 1704, 610, 24163, 289, 6606, 994, 763, 1101, 804, 537, 19282, 538, 519, 13350, 3349, 814, 519, 1034, 19535, 2609, 269, 634, 2609, 6175, 538, 2746, 2032, 607, 596, 979, 2066, 519, 3349, 269, 538, 824, 1913, 12659, 8932, 8407, 454, 1492, 12659, 8932, 8407, 616, 519, 1034, 19535, 1862, 2901, 524, 10901, 610, 21473, 6458, 1131, 581, 519, 1034, 19535, 856, 540, 713, 1895, 563, 763, 1034, 19535, 8407, 616, 538, 519, 1895, 476, 272, 540, 519, 13350, 3349, 910, 519, 12659, 8932, 8407, 563, 763, 12659, 8932, 8407, 616, 519, 1034, 19535, 540, 782, 2516, 593, 519, 13350, 3349, 269, 2368, 540, 519, 8407, 616, 16864, 267, 11379, 543, 9770, 563, 763, 1034, 19535, 1895, 538, 519, 13350, 3349, 568, 9039, 824, 982, 6828, 476, 272, 269, 6828, 476, 272, 4016, 547, 12659, 8932, 8407, 563, 763, 1034, 19535, 2609, 593, 519, 13350, 3349, 616, 519, 12659, 8932, 8407, 269, 18786, 1175, 896, 25756, 593, 519, 2484, 2451, 540, 519, 3349, 568, 519, 1101, 12659, 8932, 4496, 10570, 1948, 274, 19077, 1756, 267, 1948, 1556, 31406, 630, 1492, 1187, 4496, 2433, 334, 1070, 543, 865, 8521, 543, 865, 593, 1524, 519, 6241, 547, 10570, 1948, 9262, 17012, 6458, 269, 2257, 4116, 454, 2704, 330, 8932, 8407, 616, 2609, 4092, 538, 519, 1895, 476, 272, 540, 519, 13350, 3349, 269, 21846, 531, 2609, 616, 4092, 538, 519, 546, 543, 535, 2516, 540, 519, 13350, 3349, 269, 9747, 267, 789, 616, 4625, 1114, 563, 11039, 267, 3143, 3681, 941, 2016, 538, 519, 2243, 269, 1809, 7363, 1895, 476, 272, 630, 1779, 8932, 8407, 264, 543, 1895, 476, 1704, 630, 15595, 11077, 264, 616, 519, 1034, 19535, 2516, 563, 306, 3625, 814, 519, 1034, 19535, 2609, 269, 634, 2516, 476, 272, 543, 476, 273, 12851, 547, 519, 521, 3625, 563, 27026, 476, 272, 2609, 616, 519, 1034, 19535, 1851, 8407, 267, 4553, 676, 1895, 476, 273, 2609, 563, 763, 10300, 11077, 610, 10300, 4094, 2609, 799, 616, 513, 3126, 540, 1875, 5471, 531, 2609, 689, 6828, 476, 1704, 540, 519, 13350, 3349, 267, 519, 1034, 19535, 1373, 14806, 710, 630, 293, 1916, 27026, 476, 272, 288, 616, 1325, 330, 8932, 8407, 543, 476, 278, 288, 616, 16199, 11077, 269, 5637, 2516, 17663, 1360, 19535, 2609, 269, 0, 8448, 3594, 543, 4930, 1644, 547, 713, 1888, 666, 581, 1336, 538, 519, 9085, 19964, 693, 9137, 3733, 15488, 454, 7775, 7315, 31656, 4157, 779, 14070, 1242, 2272, 540, 519, 1686, 540, 20538, 7206, 538, 1010, 3209, 968, 7069, 8745, 568, 4414, 257, 568, 1360, 1454, 899, 930, 540, 519, 1641, 607, 621, 6212, 593, 606, 2460, 540, 519, 1148, 1158, 602, 568, 1507, 267, 3592, 7543, 547, 1294, 1510, 3168, 5702, 269, 13966, 891, 3515, 267, 621, 568, 849, 11212, 2143, 543, 3927, 27711, 930, 540, 519, 3844, 10952, 543, 4052, 4145, 602, 6353, 713, 1880, 7499, 3350, 267, 799, 729, 865, 29689, 609, 519, 2528, 543, 1747, 602, 621, 6719, 269, 769, 2110, 267, 519, 1655, 1259, 547, 1685, 606, 2079, 540, 968, 7069, 8745, 568, 4414, 257, 676, 2107, 7315, 31656, 4157, 568, 547, 4983, 922, 3140, 2796, 543, 1118, 10526, 1759, 593, 602, 563, 2108, 7069, 8745, 568, 4414, 257, 676, 2107, 7315, 31656, 4157, 814, 513, 3860, 2497, 543, 10721, 10325, 269, 6271, 851, 540, 713, 960, 602, 568, 4502, 4304, 568, 519, 1249, 602, 31656, 4157, 14998, 2789, 1936, 2209, 538, 968, 7069, 8745, 568, 4414, 892, 547, 2995, 741, 4528, 540, 519, 1650, 2636, 519, 5467, 547, 1174, 519, 20849, 16752, 602, 2919, 607, 519, 9910, 4405, 1235, 543, 741, 2486, 3357, 883, 2810, 3346, 609, 824, 4529, 267, 7551, 16208, 741, 7499, 1568, 543, 6220, 1978, 2093, 543, 2609, 689, 873, 883, 741, 1378, 960, 269, 12287, 958, 267, 2705, 267, 835, 3112, 855, 948, 855, 1589, 602, 621, 1131, 581, 2352, 547, 4628, 9787, 519, 1527, 1495, 640, 540, 968, 7069, 8745, 568, 4414, 257, 676, 2107, 7315, 31656, 4157, 543, 922, 3140, 4644, 1510, 513, 2596, 1620, 827, 20538, 7206, 267, 922, 7687, 543, 922, 6302, 267, 543, 922, 1909, 538, 2528, 2066, 942, 563, 26796, 1101, 16145, 267, 547, 581, 3833, 9237, 267, 519, 3209, 968, 7069, 8745, 568, 4414, 257, 676, 2107, 7315, 31656, 4157, 1101, 7902, 547, 581, 827, 513, 1888, 602, 1185, 2370, 4644, 547, 519, 1148, 1158, 4352, 2390, 6251, 2079, 267, 1082, 540, 519, 4798, 543, 2093, 4843, 616, 11212, 1271, 543, 936, 31186, 269, 2755, 891, 616, 519, 1360, 2798, 602, 31656, 4157, 16858, 547, 6655, 538, 968, 7069, 8745, 568, 4414, 2580, 519, 2239, 666, 581, 11212, 4101, 547, 1246, 1510, 930, 1991, 1702, 610, 1620, 269, 4634, 519, 11215, 1570, 267, 971, 607, 519, 12225, 1108, 543, 519, 4786, 602, 616, 3177, 538, 968, 7069, 8745, 568, 4414, 257, 676, 2107, 7315, 31656, 4157, 267, 798, 2370, 547, 3986, 519, 2542, 1995, 543, 8223, 540, 519, 5467, 945, 814, 2370, 610, 1100, 1702, 827, 20538, 7206, 563, 2690, 519, 5467, 945, 1281, 4865, 971, 1702, 267, 2705, 267, 968, 7069, 8745, 568, 4414, 257, 676, 2107, 7315, 31656, 4157, 3927, 3826, 1127, 1272, 883, 1686, 543, 2337, 519, 5467, 547, 1174, 930, 540, 519, 21140, 543, 7506, 602, 5795, 4473, 547, 891, 1079, 3982, 5712, 538, 20538, 7206, 269, 634, 3197, 616, 15826, 543, 24808, 267, 543, 789, 6655, 741, 2093, 543, 4978, 1379, 2685, 267, 1419, 3257, 865, 676, 5466, 519, 5467, 2047, 269, 3733, 5172, 1915, 729, 661, 5586, 656, 20306, 754, 328, 269, 4634, 1498, 646, 568, 4666, 2429, 968, 7069, 8745, 568, 4414, 257, 676, 2107, 7315, 31656, 4157, 267, 661, 5586, 656, 568, 5693, 3843, 547, 1118, 2631, 856, 540, 1018, 814, 5949, 547, 1864, 267, 855, 711, 1152, 513, 2123, 4336, 269, 661, 5586, 656, 5963, 6499, 547, 1174, 875, 1010, 2486, 814, 17146, 267, 543, 646, 9620, 547, 2097, 547, 2474, 609, 1018, 891, 14759, 2823, 754, 585, 519, 15325, 540, 1010, 2528, 269, 901, 568, 513, 18941, 16079, 539, 676, 824, 3197, 267, 1519, 519, 3529, 543, 519, 2915, 267, 855, 621, 568, 1034, 1379, 2685, 24829, 676, 661, 5586, 656, 267, 945, 814, 5747, 1317, 540, 1010, 31710, 563, 2467, 616, 513, 1297, 540, 1271, 6698, 538, 968, 7069, 8745, 568, 4414, 257, 676, 2107, 7315, 31656, 4157, 269, 2311, 519, 3932, 540, 3848, 476, 1015, 267, 519, 3529, 1148, 10306, 919, 922, 7287, 547, 711, 581, 513, 3529, 267, 855, 547, 968, 2041, 922, 2495, 257, 3079, 630, 303, 1695, 332, 4157, 476, 7906, 1040, 634, 1268, 2305, 540, 519, 3529, 607, 519, 15669, 540, 713, 3184, 1312, 10597, 543, 25040, 519, 1079, 1114, 4485, 543, 24866, 540, 9910, 4405, 626, 7206, 602, 723, 2907, 1044, 4843, 676, 519, 824, 3197, 538, 519, 1257, 269, 634, 3529, 538, 968, 7069, 8745, 568, 4414, 257, 676, 2107, 7315, 31656, 4157, 267, 799, 607, 513, 6537, 4137, 814, 1044, 9674, 689, 519, 1257, 799, 646, 729, 5921, 547, 22113, 267, 568, 2938, 676, 1034, 1866, 945, 6023, 1864, 607, 15877, 538, 2495, 282, 646, 568, 4986, 1510, 1010, 1257, 269, 1717, 267, 519, 3529, 15156, 585, 513, 1114, 7664, 540, 968, 7069, 8745, 568, 4414, 5608, 782, 855, 581, 21794, 519, 5467, 547, 2015, 519, 7872, 602, 646, 666, 581, 519, 2495, 267, 609, 610, 1510, 519, 1257, 269, 1261, 568, 711, 3274, 513, 3774, 23732, 267, 610, 693, 2547, 646, 1281, 711, 1616, 547, 581, 513, 6071, 15022, 3512, 282, 646, 535, 969, 1836, 13821, 547, 581, 6209, 269, 9453, 2495, 267, 646, 7959, 513, 7096, 968, 23127, 17165, 1496, 20357, 316, 594, 1810, 1406, 1256, 917, 1141, 594, 4866, 257, 630, 303, 1695, 332, 4157, 476, 5325, 1040, 0, 1103, 938, 1554, 543, 2085, 267, 5647, 568, 782, 936, 519, 1747, 910, 2943, 609, 14621, 547, 835, 540, 519, 1034, 12880, 7011, 1782, 3157, 538, 4527, 267, 519, 5872, 814, 7168, 1454, 7283, 1945, 1360, 2147, 585, 7366, 952, 711, 27453, 269, 2334, 5872, 568, 11956, 14679, 1788, 532, 267, 543, 621, 568, 835, 540, 519, 1034, 19023, 4496, 11529, 3157, 1634, 547, 812, 563, 763, 4166, 652, 2594, 540, 519, 4783, 2982, 909, 1472, 476, 276, 267, 1822, 1296, 1991, 267, 950, 621, 729, 8246, 547, 5838, 19730, 267, 7601, 267, 543, 4154, 19799, 906, 543, 18810, 676, 519, 12977, 540, 2025, 27859, 543, 5527, 267, 1175, 607, 519, 12390, 19092, 540, 3624, 543, 519, 25069, 14369, 269, 769, 1346, 2395, 267, 519, 4503, 14589, 1788, 532, 5872, 8246, 9932, 13520, 781, 14589, 547, 1118, 606, 1383, 799, 729, 1287, 4904, 547, 1118, 519, 2063, 1788, 532, 269, 634, 4166, 652, 1257, 547, 6813, 519, 4783, 814, 1044, 607, 8282, 547, 513, 17308, 21882, 693, 930, 1448, 1472, 476, 8099, 271, 589, 6185, 269, 3245, 602, 5888, 267, 519, 25174, 6149, 11832, 5484, 1597, 19513, 8426, 7236, 3576, 8195, 267, 799, 646, 1287, 267, 693, 602, 1448, 267, 1031, 547, 1118, 513, 17001, 540, 519, 6909, 4137, 3131, 22040, 267, 8066, 519, 2212, 540, 2405, 25901, 910, 513, 17001, 602, 2965, 3788, 538, 23509, 267, 7977, 269, 1635, 519, 4571, 2185, 18818, 2540, 267, 519, 25127, 1788, 532, 5872, 729, 7168, 1454, 834, 20598, 257, 950, 621, 3357, 547, 1818, 19730, 18810, 543, 1114, 25704, 269, 32114, 602, 568, 711, 513, 17431, 540, 519, 14463, 2470, 540, 14679, 1788, 532, 910, 1018, 568, 888, 8601, 1373, 513, 3226, 2025, 4783, 267, 25127, 1788, 532, 568, 513, 1164, 1377, 4496, 25194, 5650, 602, 21230, 3947, 1390, 4496, 2694, 269, 19837, 25630, 547, 824, 7011, 1782, 3157, 267, 14679, 1788, 532, 568, 513, 7059, 5872, 267, 799, 1797, 835, 14589, 1374, 2306, 835, 4496, 851, 269, 3502, 5976, 9227, 267, 1317, 540, 519, 13916, 540, 519, 5872, 666, 17216, 5838, 13980, 540, 30891, 748, 5704, 2329, 269, 1879, 8678, 609, 1699, 7011, 1782, 5647, 267, 922, 5383, 616, 2799, 676, 519, 4390, 547, 811, 1711, 513, 811, 7986, 4320, 540, 2694, 563, 9213, 267, 1247, 519, 2596, 2257, 3297, 1788, 532, 5170, 607, 1354, 267, 1336, 1845, 723, 8246, 1655, 538, 1362, 5647, 543, 20619, 8800, 547, 1118, 519, 4783, 811, 4396, 543, 3811, 609, 5969, 6316, 30313, 720, 762, 2326, 267, 14589, 525, 267, 2964, 1242, 5872, 267, 543, 2298, 1852, 10591, 563, 2690, 2859, 27084, 18737, 19045, 30059, 595, 8463, 0, 21930, 5549, 22531, 730, 12624, 338, 543, 4256, 5753, 454, 763, 10821, 15970, 1982, 693, 519, 15494, 9744 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6637, 281, 4197, 7756, 27639, 998, 24779, 692, 5331, 596, 4312, 1175, 6410, 547, 513, 1007, 4884, 1141, 1100, 835, 5654, 610, 6411, 899, 596, 269, 1411, 1522, 1745, 856, 540, 1747, 267, 1318, 286, 3767, 4952, 602, 8345, 1317, 596, 6410, 547, 1776, 2197, 256, 901, 568, 1018, 1082, 1004, 1995, 950, 789, 1847, 689, 741, 1753, 2197, 547, 513, 1007, 835, 269, 4653, 649, 786, 1451, 827, 875, 930, 21487, 1004, 1847, 547, 3864, 2477, 543, 3068, 2591, 1813, 547, 11475, 269, 2913, 781, 1376, 609, 1620, 1946, 2576, 1131, 4734, 741, 1753, 547, 2661, 12341, 3116, 780, 300, 12568, 910, 1879, 4658, 8844, 547, 1715, 23089, 454, 14343, 13430, 10144, 949, 3442, 547, 1847, 689, 835, 1747, 547, 1776, 585, 1896, 4128, 269, 2368, 1413, 585, 1732, 2816, 3255, 267, 1247, 1866, 3343, 7045, 610, 6999, 547, 6443, 6068, 3283, 2907, 2713, 972, 269, 634, 3460, 666, 581, 4101, 607, 3001, 1797, 6028, 3297, 5432, 8188, 267, 4025, 267, 543, 5389, 269, 4495, 789, 12446, 267, 789, 1590, 3082, 547, 1007, 9821, 267, 4654, 267, 543, 2081, 540, 1272, 780, 2691, 1004, 689, 1079, 1360, 1114, 4529, 2097, 1927, 267, 21390, 1419, 2049, 269, 1452, 616, 2356, 1759, 593, 26608, 18727, 2093, 610, 4978, 827, 1142, 824, 1572, 11475, 269, 6884, 267, 2923, 28402, 543, 2984, 5293, 1524, 936, 942, 1711, 891, 11475, 269, 1280, 1383, 267, 952, 1034, 9413, 1397, 21487, 2021, 607, 13875, 19195, 1490, 1938, 267, 1287, 17417, 949, 1589, 782, 21487, 2021, 2951, 1152, 547, 19533, 873, 269, 22682, 267, 713, 3884, 1405, 4023, 610, 4977, 2439, 15239, 268, 3519, 14846, 17716, 1299, 12694, 674, 3166, 454, 14343, 15365, 8253, 3025, 7575, 13383, 547, 1205, 9310, 269, 3509, 1106, 1875, 13652, 6463, 18787, 971, 607, 17052, 267, 1482, 20967, 12352, 267, 610, 1256, 1870, 13218, 269, 1717, 267, 891, 4296, 666, 849, 1291, 547, 10054, 543, 28639, 269, 9320, 930, 17417, 8263, 602, 782, 7489, 11082, 1616, 547, 1930, 1507, 15945, 267, 24937, 1367, 9909, 543, 17050, 269, 2107, 5310, 789, 3494, 21487, 1004, 5749, 1405, 5461, 538, 8108, 2620, 4296, 3564, 2804, 2640, 269, 11088, 267, 9444, 13429, 568, 8209, 3020, 2439, 300, 8221, 15332, 25141, 281, 10289, 22032, 2859, 16340, 569, 454, 24801, 21387, 2414, 5963, 1174, 2576, 781, 2833, 267, 649, 991, 547, 1413, 4514, 982, 1175, 29281, 4567, 610, 4876, 3903, 269, 2334, 781, 1946, 3173, 1631, 1353, 811, 3344, 540, 21487, 20404, 262, 2729, 267, 1519, 10688, 543, 10285, 4074, 780, 265, 2878, 300, 984, 1006, 4995, 1215, 3362, 666, 513, 1268, 1847, 1472, 1369, 2486, 286, 2052, 789, 1569, 1857, 6283, 267, 1434, 6009, 267, 3782, 6703, 286, 3657, 789, 1863, 547, 3643, 2828, 610, 14077, 2066, 10665, 286, 1635, 6313, 891, 2188, 267, 649, 2744, 4030, 883, 2436, 20404, 616, 4628, 3769, 538, 741, 7550, 2950, 563, 265, 2878, 11847, 8793, 8534, 4995, 901, 2165, 4016, 547, 960, 2404, 609, 9870, 1453, 267, 12391, 585, 3885, 267, 543, 4509, 10820, 1107, 4247, 12926, 5340, 676, 2021, 269, 15766, 908, 945, 1281, 713, 2186, 540, 960, 2337, 721, 1294, 1379, 6384, 1063, 25469, 543, 4529, 780, 11328, 7611, 1275, 281, 589, 4591, 2065, 13979, 454, 5785, 19030, 5970, 596, 2479, 8068, 875, 1373, 5256, 610, 4775, 267, 3638, 610, 4057, 267, 1762, 610, 2025, 5540, 707, 3232, 1272, 286, 3962, 2460, 540, 938, 3961, 7506, 875, 649, 2170, 609, 519, 1158, 269, 6684, 267, 4974, 9194, 3340, 6236, 2789, 2188, 8195, 269, 28249, 1275, 568, 513, 16681, 2262, 1914, 5505, 946, 547, 4766, 3168, 693, 20718, 9163, 899, 4008, 267, 1362, 267, 5198, 267, 4984, 267, 3092, 1421, 782, 693, 2899, 269, 16792, 713, 11455, 7828, 2636, 721, 547, 9787, 1950, 3871, 1732, 780, 1103, 3932, 267, 3478, 547, 917, 1004, 689, 3309, 10080, 27862, 938, 1378, 2729, 269, 1284, 1590, 3314, 602, 3025, 814, 2189, 2984, 543, 18144, 269, 1924, 1985, 942, 596, 2743, 2576, 1007, 267, 2119, 2182, 711, 547, 9794, 873, 1759, 593, 23079, 610, 32422, 269, 5502, 267, 2307, 2055, 267, 6432, 1134, 267, 543, 1832, 606, 1930, 2247, 269, 2991, 782, 267, 9327, 1405, 596, 5660, 519, 1482, 21806, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 20806, 27701, 853, 699, 8040, 538, 2342, 268, 1320, 16233, 3690, 20139, 24779, 281, 6348, 8410, 14846, 1133, 687, 267, 22994, 1988, 267, 543, 630, 3725, 264, 335, 8793, 8534, 454, 21292, 281, 292, 2202, 268, 1320, 16233, 3690, 20139, 24779, 267, 22994, 1988, 267, 6348, 8410, 14846, 1133, 687, 267, 630, 3725, 264, 335, 8793, 8534, 267, 853, 699, 8040, 454, 763, 9194, 8928, 8220, 17289, 543, 2342, 723, 9112, 1514, 5624, 538, 799, 1114, 11475, 3823, 774, 9820, 543, 17417, 10836, 267, 28511, 267, 543, 32694, 267, 7551, 7133, 547, 1585, 970, 757, 519, 2729, 540, 891, 2043, 269, 1677, 4161, 891, 11475, 267, 519, 1459, 7981, 17136, 3217, 883, 2272, 519, 6127, 540, 1514, 11008, 1436, 693, 30427, 543, 2199, 7516, 538, 1614, 2565, 3268, 269, 3689, 267, 621, 3792, 1206, 606, 8537, 18879, 676, 711, 12145, 3294, 547, 10636, 18400, 3347, 5473, 774, 9820, 543, 17417, 269, 5822, 267, 621, 10593, 519, 14046, 22401, 689, 7365, 543, 1920, 2152, 547, 21487, 20404, 685, 4254, 1988, 538, 8901, 267, 1514, 267, 543, 29076, 2474, 269, 1656, 3791, 267, 621, 8711, 21487, 20404, 685, 6278, 538, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 14298, 18426, 13316, 1315, 5274, 3004, 16751, 1315, 13834, 543, 28622, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 276, 281, 32202, 749, 7236, 2037, 7935, 4777, 31981, 692, 303, 770, 320, 267, 513, 20013, 1426, 538, 1082, 10820, 5001, 267, 814, 1044, 513, 22294, 540, 7969, 11951, 585, 5553, 269, 7324, 519, 1585, 2010, 540, 18437, 2139, 267, 12475, 749, 7236, 6585, 513, 2027, 1747, 1813, 547, 922, 2189, 3337, 543, 11684, 2470, 269, 769, 1880, 267, 519, 8670, 1634, 607, 834, 339, 677, 749, 7236, 679, 2156, 4777, 2437, 799, 18922, 547, 834, 339, 677, 749, 7236, 538, 26185, 2437, 8711, 519, 10347, 3666, 1063, 519, 18437, 781, 29316, 11423, 543, 519, 17381, 540, 519, 26185, 269, 901, 3184, 12538, 883, 519, 11580, 3297, 2870, 606, 11108, 12475, 749, 7236, 679, 2156, 4777, 267, 3246, 513, 9488, 6514, 540, 5820, 267, 2553, 267, 543, 6881, 2994, 269, 1635, 3695, 891, 2609, 267, 649, 2832, 547, 16491, 3988, 609, 519, 1702, 2556, 547, 4739, 12300, 11477, 2833, 10704, 1472, 713, 19644, 7969, 8670, 780, 272, 269, 4197, 32202, 749, 7236, 692, 6524, 11362, 883, 519, 14960, 540, 8600, 12475, 749, 7236, 679, 2156, 4777, 267, 621, 568, 1898, 1101, 547, 1174, 519, 13654, 5057, 9789, 12475, 749, 7236, 3294, 269, 1452, 1507, 267, 8258, 11057, 1612, 26118, 616, 3335, 4904, 609, 513, 7848, 540, 16469, 267, 29380, 525, 267, 610, 5388, 267, 1958, 1078, 1369, 6094, 9212, 540, 14859, 269, 634, 8129, 540, 12475, 749, 7236, 4266, 1394, 547, 519, 5664, 12698, 282, 2705, 267, 741, 3169, 5169, 3788, 513, 2707, 540, 7521, 1851, 12206, 269, 17859, 267, 972, 568, 1100, 27102, 519, 7839, 8560, 543, 9029, 540, 713, 11599, 18437, 3099, 780, 2691, 8939, 12475, 749, 7236, 585, 946, 538, 513, 12475, 749, 7236, 679, 2156, 4777, 11600, 267, 2015, 2188, 971, 607, 2450, 267, 9403, 267, 543, 11423, 5888, 269, 9540, 518, 12475, 749, 7236, 3622, 960, 1655, 538, 713, 3498, 267, 607, 789, 1450, 585, 1256, 5986, 543, 2327, 513, 18900, 5223, 540, 18437, 547, 26185, 269, 5047, 267, 1904, 585, 4195, 2864, 982, 12015, 12475, 749, 7236, 950, 2009, 267, 607, 519, 5449, 19646, 9120, 6492, 543, 9403, 3379, 547, 922, 13204, 3603, 11218, 269, 7053, 267, 1491, 1416, 547, 2824, 30836, 602, 9148, 1312, 519, 26185, 543, 1022, 3606, 5820, 3769, 538, 519, 3803, 8670, 269, 1280, 3236, 267, 30010, 513, 2757, 14132, 610, 20230, 11423, 609, 513, 7347, 9269, 610, 10448, 26185, 5932, 513, 1623, 21620, 540, 10366, 602, 10508, 519, 31370, 780, 273, 269, 14958, 532, 519, 17828, 7935, 628, 692, 288, 4909, 2460, 540, 1022, 3811, 12475, 749, 7236, 679, 2156, 4777, 6013, 538, 519, 2298, 540, 922, 18913, 26185, 269, 2311, 922, 4295, 267, 519, 4998, 26185, 1058, 581, 2312, 267, 1134, 5498, 1783, 539, 267, 543, 7184, 29316, 267, 7674, 607, 606, 23599, 5748, 2390, 799, 519, 6967, 3334, 540, 519, 8670, 666, 1628, 269, 1677, 3035, 713, 3804, 267, 2253, 676, 31652, 532, 1164, 7779, 7633, 630, 7945, 607, 1346, 6508, 689, 17944, 267, 1654, 531, 267, 610, 14132, 264, 538, 15792, 9424, 540, 1216, 269, 1306, 519, 5277, 6971, 267, 1236, 574, 2476, 1022, 23606, 602, 4473, 547, 519, 2627, 267, 4180, 513, 29814, 5920, 543, 2973, 6492, 269, 4495, 519, 5551, 1377, 540, 17381, 814, 1044, 25189, 267, 8833, 519, 26185, 998, 513, 5386, 17450, 521, 10079, 547, 4894, 4396, 5536, 267, 7551, 27548, 513, 12627, 268, 27234, 3490, 5078, 585, 2417, 27715, 780, 4263, 713, 3942, 267, 6451, 4005, 902, 543, 12906, 18267, 630, 324, 3052, 1421, 6070, 267, 890, 653, 2075, 27163, 267, 13342, 804, 7174, 267, 15922, 3762, 267, 543, 16163, 2917, 26106, 802, 264, 883, 519, 2269, 1441, 26185, 267, 3850, 873, 547, 1102, 2224, 7930, 936, 1970, 3002, 269, 30027, 3585, 267, 1094, 583, 2946, 1295, 1027, 19637, 267, 17436, 267, 543, 13767, 2044, 2394, 21352, 539, 267, 4946, 713, 865, 742, 761, 1729, 7848, 547, 519, 1494, 2059, 609, 1022, 824, 9053, 11922, 610, 14546, 269, 15566, 547, 3434, 519, 26185, 693, 513, 9543, 31652, 585, 1896, 3108, 267, 512, 8463, 21237, 547, 4188, 4005, 532, 2157, 9935, 269, 11086, 267, 519, 4611, 5277, 1058, 4865, 513, 7059, 2943, 14733, 521, 2948, 1465, 602, 3029, 519, 5127, 13702, 540, 519, 8737, 8670, 780, 274, 269, 674, 3739, 19139, 543, 19369, 692, 2026, 5892, 5018, 267, 519, 3903, 540, 11423, 4249, 513, 2565, 1909, 538, 5935, 519, 2949, 1915, 540, 513, 12475, 749, 7236, 679, 2156, 4777, 269, 1879, 3384, 513, 11423, 11600, 267, 11441, 585, 513, 18900, 7365, 540, 10366, 543, 18282, 602, 6173, 919, 519, 9043, 540, 519, 8670, 1510, 11566, 519, 3119, 3334, 269, 12465, 3681, 949, 1331, 23399, 540, 2666, 16469, 630, 7945, 607, 20230, 267, 14132, 267, 610, 1654, 531, 1070, 23174, 16469, 630, 3697, 5294, 857, 583, 1729, 610, 3443, 322, 24297, 1070, 29656, 22872, 5388, 630, 8364, 12783, 267, 682, 4060, 267, 17228, 1070, 543, 3638, 569, 7657, 1819, 29380, 525, 630, 878, 27198, 267, 623, 1301, 580, 10730, 7304, 1122, 326, 10730, 1040, 3958, 267, 2015, 6220, 14911, 2609, 971, 607, 5798, 267, 2428, 332, 1122, 267, 11993, 1990, 652, 267, 610, 3043, 9174, 547, 3986, 6988, 543, 1719, 780, 5629, 513, 5078, 11423, 814, 1044, 5697, 267, 2628, 22111, 3007, 547, 922, 7041, 269, 7743, 569, 11273, 30836, 1058, 8858, 7833, 640, 538, 2474, 540, 9403, 543, 11007, 267, 609, 782, 25499, 5820, 8499, 5916, 543, 18113, 19023, 269, 5015, 267, 3635, 13657, 950, 7829, 6151, 16469, 547, 7413, 519, 1981, 540, 12526, 1282, 2504, 269, 2991, 8108, 1367, 12475, 749, 7236, 1210, 513, 6656, 540, 18437, 14859, 267, 15395, 6192, 4773, 593, 513, 21066, 1166, 10696, 2627, 610, 26745, 267, 2921, 1416, 547, 2061, 23578, 610, 11493, 780, 275, 269, 13909, 543, 18181, 9828, 692, 4415, 519, 26185, 5423, 543, 12475, 749, 7236, 4646, 267, 9192, 519, 1079, 2609, 547, 1711, 519, 30883, 24207, 12475, 749, 7236, 679, 2156, 4777, 269, 10670, 676, 24667, 908, 519, 2269, 1441, 26185, 547, 513, 12902, 14974, 267, 5402, 10962, 519, 11603, 12475, 749, 7236, 883, 519, 1494, 269, 14190, 519, 18437, 547, 3434, 20114, 585, 5111, 1614, 3764, 610, 2394, 13035, 267, 28817, 9900, 547, 2061, 23578, 269, 1230, 9690, 569, 267, 16416, 21464, 5666, 540, 623, 1301, 580, 10730, 7304, 1122, 326, 10730, 10381, 936, 9008, 519, 31652, 532, 5277, 267, 8716, 24268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16116, 909, 610, 8023, 519, 1126, 267, 538, 1840, 547, 11067, 3946, 4749, 543, 8741, 532, 540, 1031, 1688, 12027, 2151, 12028, 563, 17954, 770, 16567, 1247, 2348, 15958, 4345, 454, 300, 770, 4345, 568, 1776, 18596, 6161, 585, 20418, 11299, 269, 769, 713, 2013, 267, 596, 666, 711, 1152, 3136, 20418, 1510, 954, 8306, 267, 2094, 5144, 689, 519, 7210, 6089, 1281, 711, 10460, 1022, 1981, 267, 621, 568, 5227, 547, 1521, 713, 1184, 269, 2506, 696, 3539, 519, 9221, 267, 998, 20418, 543, 8261, 8851, 538, 2013, 540, 4049, 1928, 267, 1927, 609, 3929, 1489, 547, 11883, 609, 713, 11213, 1184, 1247, 621, 16569, 543, 5618, 3498, 540, 2199, 3002, 1354, 20418, 543, 4411, 14771, 525, 19952, 267, 616, 851, 540, 519, 1034, 3617, 2126, 2221, 563, 1103, 519, 2013, 540, 513, 2603, 540, 1928, 543, 6553, 267, 16481, 1575, 19745, 523, 666, 581, 3144, 267, 4171, 608, 17917, 538, 5144, 568, 18374, 30050, 630, 271, 269, 273, 22103, 3204, 8973, 519, 946, 540, 11216, 538, 2665, 540, 4049, 15958, 4345, 267, 621, 568, 3622, 5227, 950, 2589, 6414, 585, 811, 982, 476, 2190, 268, 4366, 3108, 610, 950, 4049, 2589, 798, 711, 1016, 2515, 609, 3105, 3800, 540, 3002, 267, 7962, 3539, 543, 4550, 13611, 563, 32513, 1190, 610, 11763, 3676, 602, 616, 711, 3262, 676, 20418, 454, 10468, 2416, 824, 811, 3978, 3676, 971, 607, 17537, 267, 6299, 7578, 267, 21061, 267, 9269, 21479, 267, 32411, 610, 16891, 27695, 616, 4128, 585, 10678, 519, 14915, 566, 1974, 267, 2094, 789, 616, 12691, 1981, 2619, 3098, 585, 519, 10867, 269, 769, 1249, 267, 972, 616, 1360, 1906, 2619, 3098, 602, 2061, 3257, 865, 563, 7197, 5312, 610, 1279, 3856, 3676, 267, 971, 607, 2295, 2068, 267, 8459, 2068, 267, 12263, 267, 20461, 267, 12982, 15108, 2068, 267, 3987, 267, 2789, 26379, 267, 20560, 610, 4965, 267, 1450, 20418, 547, 581, 9738, 267, 519, 3621, 7239, 602, 4308, 609, 891, 3676, 2356, 798, 865, 269, 4363, 267, 2094, 1082, 540, 519, 6527, 547, 1521, 891, 3676, 616, 2901, 15095, 609, 20418, 267, 610, 666, 581, 22121, 585, 606, 4244, 602, 568, 563, 291, 1047, 1162, 602, 798, 10460, 513, 1981, 952, 20418, 454, 1103, 4704, 547, 519, 15360, 593, 17356, 609, 20418, 267, 513, 1592, 540, 811, 982, 476, 3199, 3676, 568, 6394, 543, 9286, 1759, 593, 741, 1981, 609, 2463, 547, 20418, 269, 7324, 1346, 602, 798, 10460, 513, 1164, 1981, 267, 789, 1331, 2618, 2670, 267, 3075, 8213, 610, 519, 1480, 26679, 3644, 630, 309, 299, 12487, 16927, 1070, 543, 519, 1480, 9726, 32430, 3644, 570, 268, 2862, 2281, 267, 2094, 891, 2063, 1079, 2619, 3098, 616, 10299, 998, 6089, 5144, 4586, 8448, 338, 267, 971, 607, 15978, 267, 3834, 641, 15856, 541, 1143, 267, 15601, 2241, 343, 610, 2860, 267, 4352, 789, 616, 711, 15333, 785, 5344, 267, 616, 2808, 547, 581, 540, 1164, 21483, 1981, 267, 811, 585, 519, 5574, 982, 585, 519, 2068, 538, 2243, 267, 865, 789, 4363, 5402, 7421, 519, 1981, 1532, 523, 24674, 2078, 609, 513, 3782, 3318, 563, 4692, 596, 1491, 6527, 1247, 20418, 888, 2467, 568, 1100, 1966, 609, 2921, 21449, 3133, 641, 1156, 267, 16481, 1575, 19745, 523, 267, 543, 930, 11216, 1247, 20418, 267, 607, 1279, 607, 596, 1865, 713, 609, 513, 3782, 3318, 538, 4434, 543, 1491, 519, 5227, 13066, 269, 5457, 602, 16481, 1575, 19745, 523, 814, 15333, 785, 10716, 585, 4230, 327, 15122, 11299, 563, 300, 1278, 338, 941, 5892, 15695, 547, 2057, 29469, 267, 855, 513, 2487, 1353, 8612, 602, 538, 1970, 13066, 267, 741, 946, 949, 581, 2922, 1282, 20418, 269, 17957, 267, 1164, 13066, 723, 1044, 2404, 609, 513, 1360, 4686, 855, 3978, 1966, 538, 12256, 1572, 1234, 6614, 779, 6794, 267, 865, 621, 568, 1655, 547, 1865, 29469, 946, 609, 513, 3782, 3318, 563, 763, 946, 540, 811, 3532, 13310, 1928, 17212, 951, 267, 971, 607, 3009, 710, 543, 911, 24703, 565, 267, 568, 711, 5227, 269, 4595, 519, 4808, 543, 7840, 616, 16111, 8242, 267, 513, 3782, 3318, 610, 14278, 626, 786, 581, 2111, 547, 2709, 596, 811, 1344, 827, 1808, 6527, 952, 596, 723, 1022, 2055, 563, 5278, 11955, 1031, 585, 519, 2770, 267, 4411, 543, 11522, 2270, 1232, 784, 652, 1218, 610, 2503, 528, 1218, 602, 666, 2569, 707, 5144, 3761, 269, 1684, 711, 946, 6527, 602, 2270, 4307, 1803, 31058, 267, 4307, 2643, 335, 1886, 12935, 8533, 267, 610, 1368, 320, 604, 25333, 514, 1851, 922, 5820, 269, 898, 568, 849, 1732, 547, 2057, 1346, 6527, 602, 2014, 546, 4900, 1465, 1282, 14915, 566, 563, 8256, 738, 519, 11183, 543, 267, 952, 596, 1869, 723, 22027, 267, 2307, 513, 3782, 3318, 267, 543, 952, 707, 4816, 729, 4535, 16349, 569, 267, 609, 513, 1970, 4332, 2597, 610, 952, 646, 814, 1022, 2564, 1966, 267, 596, 1058, 5077, 513, 3782, 3318, 1354, 2921, 1022, 6646, 1282, 14915, 566, 267, 1519, 1612, 659, 564, 600, 565, 563, 12640, 6866, 596, 979, 547, 513, 4387, 610, 14278, 626, 267, 585, 8726, 2601, 267, 1118, 621, 2312, 602, 596, 616, 20418, 543, 2307, 602, 789, 2709, 596, 519, 1655, 2009, 4781, 269, 0, 763, 12856, 540, 13106, 648, 990, 21905, 454, 298, 11481, 589, 269, 16959, 6577, 267, 24910, 631, 269, 3213, 558, 2125, 543, 4460, 14717, 4526, 454, 5228, 281, 21540, 7757, 17677, 3613, 8681, 539, 10717, 5164, 4926, 281, 12856, 543, 17449, 10334, 630, 10955, 1243, 676, 281, 3627, 570, 269, 4793, 2023, 1040, 6970, 3563, 14288, 4964, 267, 772, 14389, 269, 630, 1220, 279, 994, 763, 9647, 648, 990, 21905, 630, 516, 990, 21905, 264, 616, 519, 1486, 28437, 2818, 540, 519, 3644, 1234, 990, 597, 13160, 1920, 267, 543, 11347, 540, 519, 2881, 516, 1540, 2818, 267, 799, 17663, 827, 3368, 519, 25281, 269, 6145, 824, 2818, 540, 519, 1920, 267, 519, 556, 990, 21905, 616, 1875, 10276, 975, 539, 543, 6353, 676, 3492, 878, 11503, 573, 16115, 602, 20206, 28371, 513, 5302, 7757, 546, 338, 11748, 11646, 269, 769, 1880, 267, 556, 21552, 814, 5216, 7293, 5946, 543, 4557, 12415, 540, 546, 338, 11748, 269, 589, 3126, 540, 796, 1723, 908, 3268, 543, 14883, 1049, 2242, 13173, 1591, 7127, 543, 18643, 269, 4400, 22822, 3889, 616, 1634, 585, 3592, 782, 540, 519, 5946, 540, 27899, 556, 21552, 630, 17307, 309, 1070, 799, 568, 519, 1655, 24713, 1221, 29294, 269, 5082, 1258, 3956, 334, 2173, 2222, 2675, 4878, 630, 322, 787, 334, 4932, 264, 543, 2473, 11920, 16358, 2762, 723, 3177, 513, 5763, 540, 7293, 1344, 827, 1079, 1808, 19182, 309, 12490, 267, 1826, 476, 272, 18999, 630, 307, 272, 299, 264, 543, 1826, 476, 274, 667, 8960, 630, 307, 274, 291, 1040, 901, 2689, 6257, 519, 9079, 6242, 14366, 3889, 540, 16856, 2205, 687, 267, 11763, 1016, 341, 12637, 5536, 602, 12622, 547, 1591, 2627, 13364, 543, 4295, 5536, 267, 799, 1199, 5573, 10717, 16606, 269, 634, 2450, 267, 3337, 267, 588, 334, 24734, 5852, 267, 4205, 543, 10570, 3889, 540, 519, 25499, 5946, 616, 4330, 267, 607, 1134, 607, 741, 6198, 3601, 269, 6270, 7293, 3877, 827, 519, 1367, 5946, 543, 519, 19632, 5536, 616, 1898, 585, 513, 2347, 1620, 540, 875, 519, 2789, 5946, 543, 22308, 12415, 2170, 543, 7119, 538, 10641, 14003, 543, 3968, 1224, 811, 3267, 0, 301, 14505, 814, 24973, 2919, 513, 7077, 13617, 602, 666, 1689, 3337, 1282, 8184, 7868, 2475, 2230, 8116, 3081, 519, 1007, 13617, 786, 834, 338, 1511, 6634, 540, 9489, 12422, 538, 4492, 3790, 267, 2569, 2011, 18134, 2597, 543, 6175, 8484, 6846, 1282, 1491, 32187, 543, 2244, 902, 1701, 634, 13617, 2934, 513, 15774, 8465, 6316, 602, 666, 1847, 909, 610, 1524, 811, 5705, 569, 982, 2757, 26523, 539, 1166, 2355, 269, 634, 4745, 1788, 3238, 715, 14505, 267, 5794, 10414, 3194, 12524, 543, 4357, 10509, 6109, 21253, 306, 903, 269, 4438, 3670, 3275, 540, 4152, 267, 606, 8484, 10023, 519, 8097, 1852, 7252, 729, 2095, 333, 693, 6378, 1166, 777, 7285, 8151, 689, 910, 273, 5232, 547, 476, 1789, 5232, 585, 1239, 4015, 5301, 267, 715, 14505, 1767, 269, 1809, 519, 8465, 11154, 633, 1290, 680, 5050, 3004, 4979, 22750, 630, 3722, 15288, 264, 13617, 568, 2966, 547, 979, 998, 519, 2407, 2039, 540, 7158, 1282, 513, 8184, 267, 1818, 519, 5106, 540, 519, 13617, 1454, 811, 899, 602, 540, 513, 6177, 269, 10435, 519, 13617, 15774, 2636, 585, 23704, 25312, 267, 799, 6971, 11508, 543, 865, 11912, 4492, 3790, 269, 3367, 2859, 281, 18917, 5240, 454, 763, 25488, 814, 1044, 6806, 269, 0, 2026, 1857, 7521, 986, 2471, 827, 2152, 899, 31331, 267, 5136, 600, 659, 732, 267, 543, 1482, 20967, 7365, 267, 1082, 1004, 2119, 547, 946, 2257, 547, 24772, 741, 7440, 269, 1656, 2094, 621, 779, 4742, 4443, 547, 1449, 543, 3715, 5013, 1765, 31347, 538, 6323, 267, 6530, 267, 610, 3609, 1765, 28236, 723, 9289, 1946, 9186, 543, 26445, 723, 711, 1044, 17204, 269, 1879, 1004, 616, 21947, 609, 5013, 267, 971, 607, 519, 1134, 28004, 3106, 540, 31331, 267, 1946, 798, 891, 5013, 3100, 547, 723, 865, 2370, 1198, 286, 3776, 1007, 1382, 267, 5063, 3370, 538, 519, 4750, 540, 22226, 543, 4317, 10017, 267, 8947, 513, 31868, 2044, 1259, 676, 799, 1004, 1205, 2476, 689, 5013, 602, 17591, 741, 4978, 269, 2986, 1576, 267, 3006, 1004, 1175, 15539, 519, 14496, 540, 1808, 5013, 269, 1809, 649, 1265, 602, 1004, 3006, 979, 835, 1900, 2417, 543, 267, 607, 538, 519, 6679, 1383, 267, 789, 1201, 9347, 606, 3390, 538, 2150, 652, 762, 2081, 269, 901, 2306, 1761, 1271, 5013, 543, 2257, 6038, 13061, 547, 519, 3390, 269, 9509, 5013, 3842, 11660, 1977, 563, 763, 25488, 814, 1044, 6806, 269, 0, 293, 5424, 18015, 616, 835, 540, 519, 1034, 535, 1157, 548, 7306, 267, 607, 513, 1507, 8390, 538, 11523, 610, 9416, 2450, 666, 1118, 513, 2462, 3017, 538, 7411, 269, 3807, 835, 1984, 9014, 3677, 610, 4130, 666, 581, 519, 3017, 1063, 513, 1847, 4743, 2653, 610, 7543, 563, 5331, 513, 6094, 11523, 269, 5565, 1004, 3802, 909, 547, 519, 8905, 269, 2290, 568, 513, 3440, 518, 2088, 543, 835, 568, 513, 29421, 329, 871, 269, 634, 3440, 518, 2088, 814, 3946, 607, 6094, 607, 1957, 543, 11263, 519, 8700, 540, 6474, 560, 6506, 269, 634, 29421, 329, 871, 814, 3946, 519, 4556, 628, 540, 513, 3529, 17657, 543, 30725, 720, 6438, 11263, 269, 634, 3440, 518, 2088, 6172, 2125, 543, 23929, 909, 519, 4224, 267, 11263, 1327, 6362, 543, 795, 2459, 532, 609, 8897, 267, 6466, 519, 29421, 329, 871, 666, 1406, 3514, 513, 2582, 30725, 720, 3330, 519, 11523, 543, 547, 653, 956, 899, 513, 535, 8215, 3529, 269, 3767, 267, 952, 649, 941, 547, 11097, 523, 519, 11523, 676, 513, 1906, 28935, 543, 1586, 1491, 938, 1079, 6172, 1499, 267, 649, 1131, 1265, 602, 938, 3440, 518, 2088, 779, 11263, 1131, 3731, 1479, 3330, 519, 11523, 543, 1352, 1131, 723, 547, 946, 811, 2352, 2553, 547, 1118, 873, 6529, 267, 6466, 938, 29421, 329, 871, 779, 11263, 1131, 9376, 543, 25888, 3362, 269, 2060, 9416, 2914, 5954, 18015, 267, 1360, 1507, 2242, 666, 1118, 513, 2462, 3017, 563, 763, 2219, 540, 23578, 707, 1560, 779, 10545, 9704, 883, 513, 11523, 267, 6335, 532, 873, 538, 2081, 789, 10093, 1406, 7960, 547, 6335, 267, 543, 1287, 17444, 707, 1560, 2597, 909, 593, 873, 267, 15069, 2306, 1004, 6446, 6470, 543, 771, 3697, 713, 1826, 540, 16246, 269, 12876, 2614, 256, 1717, 267, 609, 519, 2953, 2553, 267, 9416, 18015, 666, 581, 6172, 5523, 609, 3448, 8897, 563, 299, 29420, 674, 5424, 595, 13715, 454, 763, 5326, 344, 9416, 25888, 281, 707, 11263, 1058, 16173, 267, 10160, 267, 543, 6335, 883, 519, 25888, 899, 513, 1883, 538, 513, 9376, 269, 1358, 786, 581, 12617, 3330, 519, 11523, 909, 547, 519, 3490, 540, 707, 11263, 543, 519, 25888, 786, 1745, 1434, 563, 1320, 3518, 16365, 25888, 281, 4994, 9416, 454, 12741, 995, 25888, 267, 3742, 6335, 532, 25888, 454, 2026, 713, 568, 606, 3742, 3350, 25888, 621, 666, 581, 1031, 547, 1390, 1198, 593, 2347, 8237, 1562, 1141, 972, 616, 1906, 1526, 2774, 687, 547, 1780, 1947, 25888, 1063, 269, 630, 8855, 950, 29780, 513, 1560, 851, 883, 513, 11523, 547, 2141, 1413, 585, 1526, 2774, 687, 547, 25888, 1780, 1947, 1101, 8094, 272, 269, 18112, 550, 707, 1688, 883, 519, 14853, 16365, 2990, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 535, 16438, 6759, 597, 536, 684, 7159, 515, 818, 562, 987, 13860, 524, 664, 974, 267, 3288, 996, 9017, 1094, 334, 790, 267, 606, 6663, 597, 267, 1309, 30965, 600, 327, 6663, 790, 267, 562, 611, 14243, 337, 267, 536, 807, 989, 639, 562, 6403, 657, 544, 6759, 269, 901, 3640, 11414, 1453, 1883, 1323, 6341, 327, 2784, 327, 6863, 593, 14812, 267, 4365, 267, 4832, 873, 539, 2238, 267, 2470, 267, 1426, 543, 811, 256, 1703, 616, 849, 3875, 524, 6759, 332, 31137, 19297, 1519, 2055, 543, 4267, 547, 8300, 751, 18553, 3331, 367, 536, 327, 2946, 531, 538, 707, 4928, 256, 901, 568, 606, 5140, 543, 11617, 13267, 4199, 3640, 5627, 14167, 1126, 7874, 17157, 1148, 269, 570, 5451, 14255, 554, 5451, 1047, 13860, 717, 2801, 559, 613, 694, 334, 26955, 9017, 989, 544, 14243, 842, 324, 7546, 979, 536, 327, 14673, 559, 1989, 5451, 544, 6759, 337, 513, 545, 328, 546, 5451, 337, 512, 2946, 18553, 546, 327, 14243, 577, 9820, 717, 2801, 559, 613, 269, 667, 685, 334, 2320, 662, 544, 2946, 1775, 575, 576, 656, 1515, 717, 3873, 3881, 778, 3279, 989, 639, 22678, 544, 3873, 603, 15073, 558, 544, 14243, 842, 324, 7546, 6403, 552, 850, 513, 838, 516, 698, 611, 327, 989, 639, 513, 669, 629, 327, 1515, 669, 684, 2781, 25638, 13860, 717, 2801, 559, 613, 512, 7159, 928, 600, 327, 778, 320, 513, 669, 337, 3578, 14243, 818, 1085, 11798, 2336, 2171, 3398, 7024, 454, 2171, 3398, 519, 1739, 8569, 2409, 912, 2414, 5372, 713, 1257, 609, 707, 4558, 781, 4890, 9623, 593, 8569, 2409, 267, 979, 547, 834, 290, 7614, 690, 9847, 8605, 29601, 257, 543, 12575, 519, 32237, 2409, 2985, 563, 2080, 596, 666, 1683, 1344, 607, 547, 1018, 2472, 666, 581, 8120, 267, 875, 1082, 2395, 707, 5561, 723, 547, 2132, 741, 6718, 267, 2436, 789, 786, 4309, 513, 32479, 538, 519, 3312, 1106, 540, 8569, 267, 513, 10682, 610, 513, 4558, 5491, 267, 945, 17188, 585, 519, 11288, 540, 519, 5892, 12349, 2472, 547, 519, 4558, 267, 543, 865, 593, 563, 2414, 5372, 713, 1257, 609, 707, 4558, 781, 4890, 2132, 3609, 267, 979, 547, 834, 290, 7614, 690, 9847, 8605, 29601, 257, 543, 12575, 519, 17776, 8889, 2985, 269, 0, 20228, 10449, 2098, 14058, 616, 4122, 1031, 538, 2930, 6119, 547, 16174, 1063, 606, 744, 630, 12072, 744, 264, 543, 513, 476, 271, 630, 15893, 476, 271, 1040, 630, 1492, 1297, 476, 271, 1040, 1677, 1118, 621, 7805, 547, 519, 5467, 602, 713, 568, 711, 547, 581, 11821, 609, 519, 4484, 4642, 267, 519, 4642, 568, 1793, 14414, 563, 9827, 1031, 593, 4155, 4191, 543, 538, 4070, 547, 10018, 602, 10256, 543, 4600, 616, 711, 11821, 827, 519, 1129, 779, 2495, 563, 29002, 513, 1793, 14414, 4642, 547, 707, 9786, 6478, 3561, 568, 2864, 2241, 282, 972, 616, 1614, 2553, 585, 3257, 865, 267, 543, 2899, 596, 4076, 2944, 865, 267, 952, 596, 1294, 811, 540, 873, 538, 519, 2104, 267, 596, 666, 1118, 621, 606, 1313, 665, 8091, 4781, 547, 2057, 2348, 547, 10956, 519, 5773, 1169, 269, 2582, 269, 942, 563, 1103, 713, 2022, 267, 649, 3580, 4001, 596, 875, 547, 16924, 7696, 513, 1793, 14414, 4642, 883, 707, 6478, 3561, 267, 1287, 1039, 519, 1793, 14414, 4642, 547, 707, 1313, 665, 8091, 585, 2656, 1569, 563, 1692, 1677, 5269, 589, 6215, 14414, 20023, 769, 6478, 454, 268, 3399, 513, 1007, 6478, 3561, 563, 268, 10925, 707, 23684, 1141, 596, 1616, 519, 1793, 14414, 4642, 547, 979, 563, 268, 23453, 568, 519, 7735, 547, 946, 563, 268, 8564, 11628, 13507, 689, 519, 10624, 563, 268, 700, 11229, 519, 1793, 14414, 4642, 3090, 543, 4945, 621, 563, 268, 23453, 568, 20399, 563, 29002, 589, 6215, 14414, 20023, 1677, 2659, 4201, 665, 8091, 454, 2791, 666, 1039, 519, 1793, 14414, 4642, 547, 707, 1313, 665, 8091, 1592, 585, 2656, 1569, 269, 901, 786, 2061, 596, 689, 2348, 547, 10956, 519, 3105, 2947, 5773, 1142, 942, 596, 6999, 547, 7696, 513, 1793, 14414, 4642, 538, 6478, 563, 268, 5269, 513, 5299, 540, 519, 1793, 14414, 4642, 563, 268, 8564, 11628, 13507, 689, 519, 23453, 10624, 563, 268, 700, 11229, 543, 2920, 10675, 519, 30000, 4642, 1129, 676, 14467, 621, 563, 268, 8564, 16790, 2275, 528, 14431, 563, 22812, 2897, 476, 271, 270, 609, 1315, 516, 2897, 476, 271, 270, 609, 1315, 516, 2897, 630, 528, 8726, 707, 9053, 30246, 547, 513, 1793, 14414, 4642, 6148, 994, 2691, 596, 3403, 476, 271, 32551, 621, 786, 1313, 665, 8091, 547, 513, 1793, 14414, 4642, 952, 596, 4945, 5410, 3767, 563, 1692, 1677, 7392, 744, 2060, 6215, 1662, 3414, 898, 968, 383, 502, 7536, 6524, 649, 2253, 267, 594, 8910, 899, 547, 7618, 596, 602, 596, 666, 5299, 543, 13594, 519, 744, 609, 1793, 1662, 3090, 883, 707, 960, 585, 1863, 1210, 519, 7735, 2630, 563, 2252, 782, 596, 1616, 547, 798, 568, 1826, 713, 3090, 20465, 593, 707, 13691, 267, 519, 29829, 3268, 2630, 786, 3391, 596, 563, 4322, 1883, 560, 15809, 960, 538, 9049, 6478, 267, 9185, 267, 17948, 267, 519, 5680, 267, 543, 593, 1312, 8837, 543, 5839, 5904, 563, 5472, 540, 519, 31930, 543, 5621, 9479, 596, 3580, 991, 547, 4283, 519, 6215, 1662, 744, 593, 707, 13691, 616, 7396, 538, 519, 3349, 2630, 563, 2467, 616, 3875, 2409, 585, 17511, 610, 29780, 6698, 602, 798, 711, 723, 2027, 10569, 593, 519, 13691, 538, 1312, 8837, 543, 5839, 563, 1103, 713, 3296, 267, 594, 3580, 1397, 596, 2947, 1585, 2081, 547, 1826, 610, 7696, 519, 744, 609, 1793, 1662, 1129, 593, 707, 7193, 267, 2901, 538, 707, 11422, 610, 538, 9786, 8433, 630, 7945, 607, 6478, 267, 9185, 267, 610, 17948, 264, 585, 5839, 543, 8837, 3755, 563, 4131, 779, 1205, 3323, 1510, 2417, 740, 334, 563, 5649, 2859, 281, 1215, 1677, 7392, 14645, 13507, 2201, 6206, 4580, 454, 8794, 634, 744, 609, 6215, 1662, 16816, 8943, 630, 20360, 3298, 994, 28512, 277, 568, 519, 5621, 3009, 585, 519, 6215, 14414, 744, 630, 528, 744, 609, 519, 1793, 1662, 264, 13507, 563, 8601, 519, 3668, 540, 513, 6131, 1883, 593, 519, 13691, 585, 519, 6215, 14414, 744, 1129, 267, 596, 666, 1869, 4283, 621, 1210, 519, 16816, 3009, 1935, 269, 1677, 798, 865, 267, 2046, 543, 3180, 519, 16816, 1883, 1247, 1210, 519, 25948, 1883, 25247, 547, 4283, 519, 6215, 14414, 744, 13507, 16816, 3009, 630, 28512, 277, 1916, 1607, 1935, 568, 1152, 15095, 609, 8837, 269, 589, 25948, 1883, 25247, 267, 607, 3254, 2630, 267, 568, 849, 2838, 593, 707, 13691, 563, 763, 3268, 547, 1826, 519, 6215, 14414, 744, 1129, 593, 707, 8837, 7193, 616, 7396, 2630, 912, 268, 23453, 707, 24450, 24072, 1141, 519, 744, 609, 1793, 1662, 1129, 568, 2838, 563, 268, 2201, 707, 13691, 267, 2046, 543, 3180, 835, 540, 519, 16816, 10569, 563, 268, 4964, 519, 6215, 14414, 744, 5621, 3009, 1247, 8066, 1524, 519, 16816, 1883, 630, 28512, 277, 1040, 1677, 1826, 519, 5621, 3009, 267, 596, 1590, 946, 519, 25948, 1883, 25247, 563, 268, 901, 1505, 949, 711, 960, 952, 596, 616, 1210, 513, 15291, 1510, 513, 25948, 1883, 25247, 269, 2201, 930, 24195, 267, 596, 949, 1569, 513, 6456, 25948, 1883, 25247, 676, 10296, 674, 333, 266, 301, 332, 299, 330, 593, 519, 13691, 563, 268, 1677, 7696, 519, 6215, 1662, 744, 1129, 883, 707, 3561, 267, 5305, 519, 16816, 1883, 1310, 17511, 519, 16816, 3009, 563, 268, 4635, 519, 16816, 8943, 1935, 267, 713, 568, 875, 596, 666, 1826, 713, 3090, 538, 6478, 563, 8794, 634, 6215, 14414, 744, 13507, 10374, 12827, 454, 2252, 596, 2461, 9001, 519, 16816, 8943, 4480, 267, 596, 3580, 991, 547, 1826, 519, 5621, 3009, 1210, 519, 25948, 1883, 25247, 269, 5269, 2386, 707, 6613, 24522, 1883, 568, 5828, 593, 607, 1134, 563, 763, 6215, 1662, 744, 13507, 30246, 585, 5839, 568, 7745, 856, 607, 5205, 912, 4002, 589, 5839, 267, 7392, 744, 2060, 589, 6215, 1662, 3414, 898, 563, 2414, 2253, 267, 2990, 519, 24450, 24072, 1141, 596, 786, 1826, 713, 3090, 563, 2414, 7696, 519, 3090, 267, 21276, 569, 2046, 26840, 1341, 29196, 1341, 744, 593, 707, 13691, 563, 763, 6215, 1662, 744, 13507, 30246, 585, 8837, 568, 7745, 856, 607, 5205, 912, 4002, 8837, 267, 7392, 6215, 1662, 744, 563, 20278, 519, 24450, 24072, 1141, 596, 1616, 621, 563, 16605, 519, 16816, 1883, 20399, 543, 4371, 563, 2414, 7696, 519, 3090, 267, 1826, 476, 28512, 277, 593, 519, 25948, 13691, 1247, 8066, 1524, 519, 16816, 1883, 563, 2414, 7392, 744, 769, 6478, 2060, 589, 853, 6593, 2676, 20278, 519, 24450, 24072, 1141, 519, 744, 609, 1793, 1662, 1129, 568, 2838, 563, 290, 27530, 266, 32551, 1287, 29196, 266, 302, 593, 707, 13691, 1510, 10296, 1022, 824, 10569, 563, 2414, 6460, 519, 3009, 547, 513, 6215, 1662, 744, 13507, 267, 2328, 476, 876, 291, 279, 267, 5031, 621, 267, 543, 1287, 2046, 16816, 266, 311, 563, 15371, 596, 2461, 1210, 8837, 610, 5839, 267, 1934, 616, 519, 2409, 547, 1826, 519, 744, 609, 1793, 1662, 1129, 538, 6478, 610, 9185, 563, 290, 4878, 1656, 30854, 634, 744, 2060, 6215, 1662, 3414, 898, 454, 5194, 2241, 1935, 547, 1205, 519, 6215, 1662, 744, 13507, 593, 1022, 7193, 568, 547, 5299, 543, 13594, 267, 799, 568, 1250, 9053, 1505, 563, 290, 4878, 519, 3090, 689, 513, 1357, 2985, 610, 519, 1915, 4786, 585, 8837, 3755, 630, 553, 11609, 2630, 1070, 1847, 547, 1141, 596, 991, 519, 3090, 630, 25669, 267, 6478, 610, 9185, 1070, 543, 13594, 1210, 595, 27530, 266, 309, 563, 2791, 949, 5299, 543, 13594, 519, 3090, 883, 707, 3561, 676, 14467, 593, 621, 2630, 269, 15439, 4584, 621, 543, 946, 595, 27530, 266, 290, 547, 5299, 621, 267, 1287, 2490, 547, 9049, 6478, 610, 9185, 267, 1305, 707, 24450, 24072, 1141, 596, 1616, 621, 267, 543, 5734, 595, 27530, 266, 309, 547, 13594, 621, 563, 2252, 596, 2461, 1210, 8837, 267, 596, 666, 5299, 543, 13594, 519, 6215, 14414, 744, 3090, 1210, 519, 1915, 4786, 5188, 4216, 676, 1739, 519, 3268, 2630, 563, 15507, 585, 10886, 10934, 676, 10296, 519, 3399, 7735, 269, 8437, 593, 519, 10886, 10934, 813, 538, 519, 3406, 2164, 547, 1930, 621, 563, 10287, 15306, 329, 2426, 585, 519, 7454, 540, 519, 5303, 269, 0, 1692, 666, 4568, 1860, 707, 960, 610, 3232, 2238, 888, 2690, 930, 1004, 267, 2348, 835, 610, 1079, 10425, 666, 1860, 741, 2702, 547, 798, 741, 2816, 610, 4948, 2238, 269, 634, 2360, 540, 4568, 1376, 1360, 3533, 1310, 6704, 267, 3006, 1369, 476, 1015, 3764, 267, 609, 707, 1973, 4568, 1377, 890, 1136, 827, 476, 1789, 1700, 3445, 3764, 1310, 6704, 269, 634, 2360, 540, 4568, 786, 2333, 607, 596, 3136, 547, 4235, 543, 707, 1560, 779, 1973, 4568, 1377, 4679, 269, 1403, 596, 723, 513, 13829, 593, 4568, 267, 596, 949, 1265, 930, 540, 519, 2360, 540, 4568, 1764, 707, 3232, 1272, 267, 1256, 952, 596, 5749, 1406, 26583, 563, 2026, 4568, 666, 2014, 4057, 11558, 267, 588, 22824, 267, 5075, 2042, 267, 546, 4900, 1465, 543, 4057, 5114, 942, 267, 621, 568, 22247, 547, 5397, 513, 1286, 610, 7500, 5230, 12227, 950, 6704, 269, 22868, 610, 2238, 602, 616, 3106, 6213, 899, 2679, 610, 2324, 609, 2645, 666, 581, 5906, 547, 798, 1247, 596, 616, 883, 343, 5344, 689, 4568, 563, 2704, 4022, 666, 849, 1118, 596, 1745, 575, 1342, 344, 543, 771, 514, 3031, 1243, 543, 596, 949, 723, 513, 2182, 942, 23622, 267, 19551, 543, 4393, 1344, 267, 799, 1797, 602, 15025, 609, 1866, 267, 2523, 693, 960, 267, 666, 1831, 2352, 563, 2691, 621, 2501, 547, 960, 267, 1114, 6009, 2154, 1114, 1983, 269, 1403, 596, 616, 6704, 4568, 267, 723, 513, 1589, 827, 1018, 596, 1522, 991, 547, 798, 1134, 693, 707, 2816, 543, 1018, 3268, 596, 1223, 1491, 547, 1118, 2386, 596, 616, 711, 15176, 563, 257, 7069, 6612, 585, 2575, 729, 2186, 540, 2469, 1524, 267, 543, 602, 781, 950, 594, 6785, 267, 899, 267, 786, 594, 2479, 1205, 621, 1394, 24350, 291, 2643, 534, 8843, 1010, 1995, 4466, 1010, 6612, 585, 2575, 1586, 563, 2005, 666, 581, 513, 3787, 20868, 14577, 1394, 547, 1272, 3544, 707, 19389, 267, 865, 649, 4076, 15504, 547, 326, 750, 513, 1906, 1883, 4388, 547, 948, 596, 856, 952, 596, 3442, 547, 946, 5061, 563, 2690, 10076, 2657, 17607, 10432, 267, 649 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15847, 563, 30048, 22577, 568, 513, 5312, 2068, 267, 585, 799, 972, 568, 1100, 1634, 10826, 4849, 538, 1360, 1808, 3871, 269, 5004, 30211, 593, 5329, 1973, 4006, 2157, 607, 2673, 547, 3339, 267, 1510, 4929, 1970, 1973, 4006, 269, 901, 666, 2356, 581, 12913, 609, 513, 2635, 2732, 267, 3635, 267, 2597, 2530, 267, 543, 946, 540, 3617, 6527, 630, 1231, 6081, 538, 519, 2013, 540, 1826, 476, 272, 3987, 282, 5711, 6527, 267, 607, 1134, 607, 7654, 7378, 267, 538, 1826, 476, 273, 3987, 1916, 4407, 3621, 15784, 1869, 6818, 936, 2436, 513, 10826, 585, 3987, 1256, 6818, 267, 519, 7872, 568, 1869, 6505, 609, 1699, 8441, 538, 2029, 269, 28981, 12967, 4066, 899, 6565, 2281, 11257, 543, 27532, 4915, 616, 11319, 519, 23508, 267, 543, 949, 3180, 1164, 9153, 585, 513, 1761, 10826, 547, 3987, 267, 855, 972, 779, 849, 1869, 4055, 585, 4359, 5711, 2861, 31534, 547, 948, 538, 519, 6370, 1996, 3987, 269, 18127, 3676, 971, 607, 1826, 476, 273, 3987, 666, 6157, 2721, 2462, 9541, 267, 1945, 649, 1294, 711, 1175, 689, 519, 1657, 3549, 855, 689, 513, 1134, 30845, 23492, 1572, 2271, 2117, 807, 634, 31706, 602, 649, 4988, 513, 1906, 1296, 3516, 950, 621, 1185, 6659, 1269, 4037, 280, 2929, 269, 898, 814, 1631, 3144, 538, 1269, 272, 269, 277, 5479, 543, 568, 590, 2316, 17247, 538, 3942, 476, 274, 4791, 8062, 811, 982, 1614, 1296, 2663, 269, 769, 824, 1913, 267, 596, 991, 811, 982, 6505, 2093, 547, 10826, 3987, 267, 855, 513, 2603, 540, 2724, 547, 3142, 891, 11257, 547, 2344, 563, 13911, 476, 273, 3987, 729, 849, 5892, 5219, 547, 607, 1875, 15564, 6081, 8200, 3987, 22577, 630, 301, 2839, 19699, 1070, 610, 2937, 268, 976, 564, 3987, 22577, 630, 288, 7495, 300, 1040, 769, 1826, 476, 273, 3987, 267, 2550, 666, 1869, 3132, 7378, 267, 855, 798, 865, 5266, 14413, 638, 2299, 585, 741, 1560, 781, 2115, 267, 3226, 538, 519, 3068, 540, 7378, 4187, 607, 5941, 1657, 269, 769, 1082, 2665, 713, 2965, 1797, 519, 18558, 7472, 3677, 982, 3339, 9424, 540, 7378, 269, 589, 2101, 4183, 540, 1826, 476, 273, 3987, 568, 513, 3668, 540, 8417, 547, 7378, 676, 519, 2281, 540, 519, 1560, 630, 31860, 3170, 543, 4887, 2281, 1916, 288, 928, 10383, 958, 267, 595, 17026, 902, 6487, 693, 2547, 835, 1268, 538, 519, 2475, 945, 3893, 741, 6391, 6976, 585, 998, 741, 7649, 779, 16108, 6142, 267, 5103, 1152, 2348, 513, 19483, 540, 476, 4029, 269, 1656, 646, 4967, 602, 1082, 2477, 609, 513, 7347, 1857, 1072, 1416, 1062, 723, 2907, 22485, 741, 19483, 7182, 547, 11604, 519, 667, 7704, 268, 2862, 4808, 267, 971, 607, 519, 5177, 543, 18142, 17936, 269, 1261, 849, 11099, 602, 24310, 543, 27083, 8387, 616, 18801, 908, 2436, 547, 9772, 519, 667, 7704, 268, 2862, 4808, 267, 1759, 593, 5717, 646, 779, 1185, 269, 968, 296, 1810, 1406, 917, 875, 1279, 621, 3580, 1491, 267, 855, 649, 2461, 15385, 938, 11263, 543, 15691, 2223, 646, 1767, 563, 763, 5929, 5711, 7280, 10892, 1449, 3800, 1973, 7280, 2157, 2947, 2053, 936, 513, 1974, 540, 1614, 3108, 269, 2368, 13500, 3274, 1205, 513, 15977, 1973, 3732, 4553, 676, 513, 3732, 1079, 3108, 1310, 6704, 519, 7280, 3070, 269, 769, 513, 1268, 1510, 3987, 267, 519, 7280, 2157, 4473, 543, 1287, 2887, 3533, 269, 769, 2576, 609, 3987, 267, 7280, 2157, 4473, 2362, 982, 3339, 543, 3111, 547, 2097, 1394, 1524, 607, 3728, 563, 21589, 2435, 8778, 2042, 269, 2368, 6527, 666, 15936, 609, 15485, 1599, 269, 2659, 4387, 949, 4363, 16069, 610, 4657, 6527, 269, 589, 7453, 30614, 8430, 610, 2712, 3215, 1169, 1906, 3108, 630, 339, 574, 539, 30614, 264, 1247, 7311, 9543, 2604, 547, 519, 15485, 1858, 630, 10964, 578, 707, 17987, 31728, 264, 568, 5227, 269, 4033, 2409, 267, 1519, 1582, 2275, 7752, 614, 1436, 267, 949, 581, 2877, 547, 4894, 10729, 689, 513, 8229, 1673, 600, 3042, 15485, 563, 14881, 993, 5393, 20938, 547, 1294, 602, 2029, 2919, 538, 1855, 329, 531, 2677, 2967, 779, 1895, 568, 3478, 547, 519, 1448, 602, 649, 666, 2263, 713, 585, 9354, 5301, 2223, 4223, 628, 5362, 1261, 15842, 330, 267, 12854, 267, 519, 8689, 540, 519, 12128, 4741, 693, 772, 5425, 293, 543, 513, 4759, 540, 661, 1338, 961, 514, 779, 3621, 28007, 4604, 267, 7074, 593, 519, 772, 5425, 293, 3896, 269, 968, 21886, 2355, 1637, 543, 4027, 540, 568, 2280, 2281, 2611, 513, 2565, 19224, 548, 602, 2115, 547, 581, 7753, 1354, 1591, 3797, 3587, 513, 4641, 538, 1826, 476, 272, 3987, 3034, 2252, 2009, 267, 1265, 513, 1928, 4099, 602, 707, 6142, 786, 2628, 585, 269, 10266, 7740, 1058, 9192, 2168, 267, 2790, 267, 543, 2564, 4485, 543, 1683, 1489, 689, 1312, 4648, 543, 824, 1004, 2713, 609, 1928, 269, 2368, 723, 5618, 10821, 3292, 4553, 676, 30229, 2533, 269, 4107, 616, 7357, 30229, 267, 543, 20499, 616, 16516, 585, 1896, 2053, 513, 3018, 693, 1101, 267, 2394, 513, 1268, 779, 1928, 568, 6417, 18113, 269, 589, 1928, 4099, 949, 1683, 2168, 3797, 267, 13508, 267, 6646, 267, 1582, 31193, 2866, 267, 543, 811, 563, 6701, 596, 9878, 1932, 1454, 538, 11834, 12375, 547, 707, 30549, 286, 6744, 856, 513, 30549, 720, 6109, 1572, 2098, 2931, 11780, 602, 781, 5356, 1269, 272, 23194, 593, 772, 2529, 269, 13632, 543, 3681, 2394, 476, 1001, 280, 269, 2991, 602, 267, 596, 3513, 2628, 1175, 1269, 274, 513, 4123, 610, 513, 29784, 513, 2671, 267, 627, 31295, 568, 3152, 269, 898, 781, 835, 540, 519, 10464, 652, 2156, 24329, 856, 972, 543, 596, 666, 849, 4123, 13632, 593, 476, 11011, 4914, 6006, 15377, 269, 8437, 1934, 547, 4123, 2475, 13632, 543, 3681, 585, 607, 1970, 607, 1269, 272, 829, 1931, 2394, 5147, 476, 275, 267, 476, 1001, 280, 563, 309, 534, 18123, 568, 513, 7623, 1336, 538, 6263, 5666, 538, 2371, 543, 2831, 269, 7216, 2090, 4951, 602, 8709, 18123, 28348, 1973, 4006, 2157, 538, 2831, 609, 1826, 476, 272, 543, 1826, 476, 273, 3987, 269, 1879, 1004, 609, 3987, 941, 2016, 8709, 18123, 267, 789, 1185, 513, 16434, 2333, 538, 7378, 8417, 543, 941, 2111, 547, 2539, 741, 991, 585, 7378, 269, 12824, 1616, 547, 1174, 875, 8709, 18123, 1568, 538, 519, 1560, 267, 1265, 1761, 2427, 2360, 267, 543, 1305, 2922, 13121, 1137, 563, 3080, 540, 519, 1034, 1455, 2081, 1004, 609, 1826, 476, 273, 3987, 3801, 547, 2539, 741, 1973, 4006, 568, 676, 20427, 4227, 741, 6981, 540, 19719, 269, 634, 5084, 288, 23216, 602, 19346, 10203, 568, 1898, 952, 596, 723, 3987, 267, 855, 3665, 11326, 899, 519, 29145, 2732, 267, 799, 6971, 16087, 6981, 547, 607, 2370, 607, 476, 276, 2600, 540, 707, 3232, 8477, 267, 666, 581, 19408, 585, 930, 1004, 609, 3987, 269, 630, 3607, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 773, 12844, 14808, 331, 1470, 267, 8689, 540, 623, 23966, 543, 8689, 540, 3318, 4441, 543, 10927, 2090, 693, 3502, 516, 667, 877, 563, 2108, 18444, 292, 15156, 585, 10686, 1227, 268, 20777, 730, 6044, 865, 3610, 616, 7598, 1018, 1568, 2223, 12844, 14808, 331, 1470, 1767, 269, 968, 1103, 1840, 267, 649, 5721, 3610, 547, 2445, 3407, 1239, 543, 547, 1118, 1434, 3664, 1759, 593, 519, 2963, 3034, 30399, 267, 7826, 3506, 723, 1044, 3500, 547, 1930, 741, 9885, 547, 1053, 609, 8995, 1565, 2115, 267, 12844, 14808, 331, 1470, 3773, 267, 855, 968, 852, 649, 616, 7487, 811, 14223, 543, 513, 8273, 7903, 547, 4196, 27268, 3309, 1053, 538, 782, 3506, 3034, 8253, 516, 667, 877, 3459, 5885, 519, 5692, 540, 10014, 998, 519, 9752, 31453, 1308, 5753, 5358, 538, 519, 4832, 540, 476, 1001, 271, 269, 634, 1982, 729, 15428, 936, 519, 1296, 547, 1732, 2743, 519, 2115, 540, 10010, 6267, 543, 1053, 609, 9124, 563, 2108, 301, 14260, 267, 4081, 4763, 568, 11342, 538, 782, 3506, 2223, 1767, 12844, 14808, 331, 1470, 269, 968, 6546, 568, 267, 972, 616, 10010, 6267, 543, 1053, 609, 9124, 630, 10972, 30938, 610, 711, 264, 538, 519, 13460, 538, 7826, 3506, 2066, 519, 2197, 269, 898, 568, 938, 5539, 607, 7826, 7855, 547, 10950, 891, 1053, 543, 2327, 602, 741, 2115, 616, 1558, 3034, 763, 3057, 329, 800, 853, 517, 17507, 4400, 3427, 5398, 8881, 8189, 6499, 1876, 16234, 547, 2154, 8419, 779, 521, 615, 14554, 547, 5721, 1857, 1153, 5234, 619, 547, 4163, 513, 7784, 593, 13464, 563, 763, 10243, 20366, 796, 29434, 3585, 593, 13628, 547, 4363, 519, 1689, 547, 513, 27369, 1982, 602, 729, 3957, 1310, 519, 853, 517, 17507, 19958, 16455, 267, 26826, 3171, 529, 267, 945, 5747, 7863, 1053, 269, 634, 1982, 2488, 1876, 11268, 2866, 547, 1857, 1153, 5234, 619, 267, 27195, 3610, 267, 945, 1616, 547, 4163, 513, 7784, 593, 13464, 267, 855, 1699, 1876, 1281, 711, 2154, 521, 615, 858, 779, 13646, 547, 7119, 563, 3383, 2484, 267, 1152, 476, 1839, 540, 476, 6858, 1153, 13102, 616, 10283, 538, 519, 1982, 267, 2687, 547, 519, 8419, 4972, 540, 4065, 267, 543, 1152, 1269, 280, 269, 274, 2929, 540, 519, 1269, 6858, 2929, 1876, 16234, 3261, 730, 585, 519, 1982, 814, 1044, 6170, 563, 2419, 6621, 1153, 8387, 10010, 547, 16783, 609, 519, 1007, 13464, 3106, 31433, 616, 15691, 519, 1982, 786, 581, 9450, 269, 22118, 333, 22374, 268, 5938, 1188, 267, 10324, 8689, 540, 519, 8419, 25943, 3427, 19137, 267, 3365, 7596, 539, 519, 16252, 563, 14071, 616, 20938, 602, 519, 10243, 17358, 519, 2591, 1857, 3506, 3068, 950, 3843, 547, 2743, 519, 2922, 1153, 31433, 2223, 1352, 1767, 563, 303, 13083, 6019, 15593, 858, 27240, 344, 808, 3291, 267, 945, 568, 513, 4759, 540, 519, 10243, 267, 6069, 519, 10421, 563, 14071, 991, 547, 2995, 519, 521, 615, 14554, 267, 2048, 2710, 707, 2816, 16224, 892, 646, 1767, 269, 968, 288, 5354, 540, 1346, 521, 615, 14554, 1616, 547, 798, 519, 26851, 1982, 855, 4250, 519, 26851, 1982, 1317, 540, 6142, 3549, 3034, 303, 514, 749, 553, 6019, 15593, 858, 7585, 717, 783, 339, 1512, 328, 267, 28579, 540, 519, 10243, 267, 8815, 269, 968, 2171, 991, 547, 581, 851, 540, 519, 3070, 543, 711, 851, 540, 519, 1966, 2223, 646, 1767, 269, 968, 2171, 723, 547, 2097, 909, 609, 513, 1259, 547, 1450, 891, 13102, 602, 1616, 547, 798, 621, 547, 1205, 1472, 519, 521, 615, 858, 1141, 519, 521, 615, 858, 4465, 1406, 798, 621, 3034, 5475, 519, 5244, 1633, 15246, 538, 5988, 267, 29583, 269, 25599, 8845, 9896, 883, 1876, 9086, 2810, 3354, 3800, 693, 3506, 269, 634, 3057, 329, 800, 853, 517, 17507, 19958, 4400, 3427, 5398, 8881, 2920, 3340, 782, 1857, 3506, 547, 16926, 513, 1153, 4199, 11464, 630, 306, 4629, 1070, 513, 521, 615, 858, 779, 1244, 14280, 267, 610, 513, 8036, 9441, 547, 4163, 513, 7784, 593, 13464, 563, 4913, 267, 1082, 22497, 3506, 267, 799, 4309, 1447, 2724, 982, 2757, 1857, 3506, 2687, 547, 513, 476, 1001, 278, 8419, 12525, 19400, 1353, 267, 666, 1406, 6488, 590, 4629, 338, 269, 5685, 1734, 616, 711, 519, 1152, 21677, 269, 769, 1082, 2127, 267, 972, 3274, 616, 711, 2614, 10492, 547, 2743, 519, 2115, 540, 1142, 1153, 563, 13750, 7354, 269, 19846, 333, 3883, 267, 667, 268, 24456, 566, 267, 1767, 9488, 2866, 568, 14063, 269, 968, 2171, 1616, 547, 1118, 2386, 602, 2866, 568, 1018, 621, 568, 9277, 547, 581, 2223, 1352, 1767, 269, 968, 1432, 649, 1616, 621, 547, 581, 269, 32506, 3116, 1131, 581, 513, 11600, 585, 513, 1966, 3034, 5415, 982, 3368, 540, 1699, 1857, 1153, 3610, 1489, 1153, 642, 537, 7129, 543, 22497, 3506, 267, 2687, 547, 3798, 2419, 4069, 779, 5993, 5619, 540, 4892, 685, 5784, 540, 2069, 563, 1432, 779, 811, 267, 476, 4281, 2600, 540, 1346, 1482, 3610, 23500, 1489, 2069, 9806, 6589, 630, 2464, 2026, 1040, 5153, 5455, 1280, 4841, 267, 799, 32245, 713, 5816, 267, 14721, 8651, 8419, 779, 8493, 10719, 18623, 1222, 267, 519, 4182, 779, 4102, 2069, 9806, 2272, 585, 1053, 609, 2027, 2115, 563, 14881, 1589, 621, 568, 4277, 899, 519, 2489, 1857, 267, 3610, 616, 811, 11215, 540, 11536, 2026, 982, 519, 824, 2010, 540, 3903, 3292, 2223, 1767, 7812, 26396, 267, 1071, 10461, 540, 519, 1867, 543, 1382, 13930, 693, 3798, 2419, 4069, 269, 968, 2005, 1281, 1118, 803, 3494, 602, 538, 2324, 609, 1367, 1053, 593, 519, 2666, 1377, 789, 1294, 602, 1053, 949, 991, 3606, 2115, 610, 824, 2533, 711, 2141, 3177, 538, 513, 2757, 4928, 4259, 3034, 763, 15795, 5993, 3427, 532, 538, 3013, 5619, 5950, 2221, 12238, 3022, 519, 2489, 1857, 779, 6644, 593, 4152, 267, 1153, 3903, 543, 1533, 12477, 1949, 269, 634, 1867, 23500, 476, 272, 267, 3199, 274, 4079, 476, 1240, 543, 4587, 269, 1280, 519, 1101, 942, 267, 519, 1867, 8179, 519, 6644, 540, 476, 6507, 278, 1857, 1153, 3610, 563, 763, 1867, 11567, 2185, 1382, 2055, 912, 268, 1548, 616, 3237, 685, 2833, 538, 918, 268, 1321, 2069, 543, 2199, 18375, 888, 268, 1548, 616, 1857, 1153, 3610, 685, 3318, 2833, 543, 7375, 538, 918, 268, 1321, 2069, 888, 268, 1215, 1281, 519, 2489, 1857, 267, 607, 1134, 607, 3610, 543, 3237, 267, 2070, 1533, 12477, 1949, 538, 918, 268, 1321, 2069, 888, 268, 1548, 616, 519, 2157, 540, 1489, 543, 11685, 585, 1114, 3872, 3903, 4507, 888, 14454, 267, 519, 1867, 1336, 3376, 1489, 585, 1153, 642, 537, 7129, 267, 3454, 5491, 25689, 543, 2069, 9806, 6589, 269, 2334, 2882, 476, 7918, 2600, 540, 3610, 945, 1489, 1153, 642, 537, 7129, 267, 543, 476, 6872, 2600, 945, 1489, 22497, 3506, 563, 29261, 941, 811, 13854, 609, 4357, 3506, 982, 1857, 3506, 267, 1247, 32059, 4607, 519, 5207, 1377, 540, 15366, 13170, 1107, 476, 10436, 2600, 269, 4634, 865, 267, 972, 729, 513, 476, 1691, 2600, 6175, 538, 3237, 685, 9547, 609, 4357, 3506, 269, 1717, 267, 9547, 609, 8664, 3506, 267, 4357, 3506, 267, 543, 32059, 782, 17379, 2094, 2063, 1032, 269, 8307, 22497, 3506, 4718, 606, 2333, 538, 15366, 9547, 563, 29261, 685, 2833, 538, 2199, 18375, 454, 16449, 519, 1699, 543, 5449, 1153, 3237, 23500, 267, 476, 2412, 2600, 1131, 4782, 547, 6494, 741, 1126, 547, 513, 4357, 1153, 267, 1247, 476, 3607, 2600, 8359, 513, 8664, 1857, 1153, 269, 11531, 267, 476, 1724, 2600, 1131, 1616, 547, 6494, 741, 1126, 547, 513, 22497, 1153, 267, 543, 476, 1015, 2600, 4782, 32059, 563, 7212, 3237, 8858, 513, 3309, 5044, 540, 18375, 7375, 267, 2687, 547, 519, 5619, 267, 827, 476, 11025, 2600, 540, 1053, 7390, 1857, 8664, 3506, 269, 8307, 476, 1015, 2600, 7390, 4357, 3506, 267, 276, 2600, 7390, 22497, 3506, 267, 543, 476, 274, 2600, 616, 18954, 539, 267, 519, 1867, 3081, 563, 25215, 1180, 757, 7446, 4357, 1153, 267, 1857, 22497, 1153, 267, 610, 32059, 941, 811, 2693, 547, 968, 335, 1874, 527, 1125, 1367, 3007, 267, 835, 6823, 14633, 1362, 2450, 543, 2875, 4116, 5223, 1848, 8409, 945, 4782, 8664, 1857, 3506, 2161, 789, 3177, 873, 930, 2460, 540, 23462, 563, 14807, 1049, 3903, 1135, 1182, 543, 15024, 454, 1103, 519, 3670, 1296, 17013, 723, 1044, 1135, 1194, 593, 2069, 9806, 6589, 267, 713, 1032, 4718, 519, 5207, 1377, 540, 1489, 267, 609, 4892, 2185, 2053, 811, 2693, 547, 1489, 519, 3903, 4781, 1107, 476, 10619, 2600, 8957, 519, 476, 1240, 2600, 945, 28586, 621, 269, 18542, 1946, 789, 1489, 11536, 2026, 267, 476, 2764, 2600, 1767, 621, 729, 1317, 621, 5795, 873, 1732, 1569, 547, 3506, 602, 723, 6793, 19174, 543, 811, 8112, 543, 5191, 269, 8409, 10353, 547, 11536, 2026, 7150, 789, 1705, 711, 1616, 547, 31818, 7482, 689, 1857, 3506, 543, 941, 12922, 540, 30081, 2623, 563, 28874, 585, 11536, 2026, 547, 5529, 476, 3583, 2600, 585, 2818, 540, 5176, 1169, 15295, 267, 1519, 5198, 270, 30710, 640, 267, 4008, 267, 7622, 4747, 267, 5108, 267, 2797, 5428, 267, 543, 3148, 563, 2108, 2026, 938, 5619, 4422, 593, 649, 616, 3478, 811, 540, 519, 15940, 658, 3237, 4947, 883, 519, 16784, 2223, 1767, 26396, 269, 968, 17829, 616, 519, 2186, 540, 5481, 602, 616, 1031, 547, 811, 5079, 538, 741, 1272, 689, 6639, 8441, 547, 2489, 13884, 269, 1306, 811, 543, 811, 1831, 3237, 621, 786, 581, 4277, 547, 1294, 952, 519, 3870, 1464, 5170, 547, 1332, 585, 11536, 2026, 3034, 14454, 972, 729, 849, 2178, 1489, 585, 1153, 642, 537, 7129, 2443, 476, 5038, 2600, 267, 3379, 547, 476, 1789, 2600, 10353, 269, 634, 1867, 4967, 602, 2094, 476, 1001, 274, 267, 1489, 585, 642, 537, 7129, 814, 968, 20623, 5523, 543, 2095, 539, 1063, 519, 4571, 268, 2004, 338, 543, 1970, 268, 2568, 338, 3034, 2026, 609, 11536, 2026, 267, 519, 5619, 1336, 7820, 4892, 616, 811, 2693, 547, 1489, 642, 537, 7129, 982, 20650, 269, 1717, 267, 1082, 15295, 1016, 25364, 4951, 1732, 982, 476, 2568, 2600, 1489, 585, 642, 537, 7129, 267, 1519, 4683, 2572, 267, 3979, 4892, 267, 543, 1699, 1153, 3237, 269, 7351, 1857, 1153, 3610, 543, 2852, 20021, 6829, 2539, 2157, 540, 1489, 267, 4352, 1869, 936, 476, 2004, 2600, 563, 12024, 1153, 642, 537, 7129, 267, 1346, 23500, 941, 15028, 540, 3454, 29931, 9016, 25689, 269, 5565, 856, 540, 1614, 6829, 1489, 585, 1346, 3292, 3379, 547, 827, 513, 10116, 945, 28586, 873, 269, 630, 3721, 5455, 1280, 4841, 849, 21314, 519, 8419, 12525, 15894, 18623, 1222, 585, 1970, 13867, 1053, 4700, 8081, 585, 3454, 5491, 25689, 814, 7283, 693, 519, 1482, 1377, 2094, 476, 1001, 274, 267, 519, 1867, 3081, 563, 28874, 585, 22497, 3506, 849, 3788, 5266, 1164, 543, 24240, 689, 476, 1001, 278, 267, 609, 476, 8618, 2600, 538, 3870, 3379, 547, 476, 3066, 2600, 945, 28586, 873, 563, 10743, 693, 29092, 3821, 3427, 540, 853, 269, 6754, 941, 18176, 538, 519, 9803, 476, 736, 628, 30878, 593, 519, 19578, 4530, 540, 9978, 10341, 538, 476, 1001, 277, 269, 3509, 849, 1185, 30095, 2042, 269, 1703, 941, 5717, 827, 14656, 519, 2776, 298, 268, 1321, 1153, 538, 4303, 2023, 320, 16047, 563, 19602, 267, 27050, 623, 698, 8457, 267, 729, 20604, 1010, 1985, 4876, 1847, 607, 646, 8359, 547, 13649, 689, 476, 3607, 1296, 538, 519, 5292, 639, 807, 6019, 2757, 1857, 17469, 1062, 269, 1656, 29092, 3821, 267, 799, 646, 13984, 607, 513, 1762, 7911, 267, 1185, 513, 2027, 1747, 538, 1010, 2295, 563, 22154, 568, 1141, 594, 2877, 547, 581, 2223, 623, 698, 8457, 1767, 269, 968, 296, 2648, 1373, 851, 540, 519, 2146, 269, 594, 1223, 581, 519, 1689, 8665, 789, 2877, 547, 948, 3034, 7712, 623, 698, 8457, 3576, 936, 519, 26958, 607, 9030, 538, 476, 1001, 277, 267, 1053, 616, 7900, 693, 2547, 476, 1015, 547, 476, 1428, 6871, 2798, 2362, 593, 519, 19578, 1449, 543, 9015, 2042, 723, 1044, 4389, 269, 623, 698, 8457, 4957, 519, 6437, 543, 21534, 2947, 1007, 3610, 269, 1261, 849, 3459, 28720, 20970, 540, 14288, 13437, 10526, 267, 513, 2780, 2861, 13261, 13387, 1449, 689, 519, 19566, 16214, 5948, 602, 1010, 1053, 3576, 1614, 2053, 513, 1032, 547, 2268, 2208, 543, 9740, 563, 14071, 616, 5464, 607, 513, 1153, 543, 3610, 616, 811, 538, 19820, 609, 1018, 568, 2469, 593, 538, 519, 4928, 2223, 623, 698, 8457, 1767, 563, 1103, 519, 2250, 1153, 1032, 267, 476, 6507 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7900, 519, 14418, 3028, 20475, 519, 1821, 719, 2623, 543, 6891, 540, 1004, 16042, 4724, 13221, 267, 799, 1223, 581, 519, 2601, 602, 17254, 27495, 729, 5340, 693, 14418, 17633, 1256, 609, 519, 635, 673, 3344, 540, 519, 2773, 563, 763, 3310, 540, 17254, 27495, 454, 294, 580, 27495, 22407, 941, 8655, 547, 7780, 776, 334, 630, 289, 9531, 540, 12465, 8535, 264, 14931, 676, 519, 12872, 14833, 8943, 543, 6462, 676, 519, 2229, 269, 2201, 519, 824, 1688, 267, 2705, 267, 519, 17254, 27495, 22407, 941, 13684, 930, 9993, 593, 971, 607, 10821, 4087, 269, 717, 580, 27495, 568, 2808, 547, 723, 1044, 849, 5702, 1644, 609, 590, 836, 27495, 630, 845, 540, 16222, 2442, 538, 3567, 1282, 519, 476, 1556, 628, 547, 476, 1691, 628, 5553, 1040, 717, 580, 27495, 729, 4922, 3262, 2429, 3567, 267, 2687, 547, 519, 20209, 1878, 269, 1306, 5950, 689, 519, 22257, 1489, 543, 9993, 267, 575, 698, 27495, 814, 9927, 883, 1585, 2081, 563, 763, 6411, 540, 1412, 11321, 2378, 19441, 262, 676, 27956, 517, 610, 1412, 300, 7491, 4157, 3511, 1695, 328, 262, 540, 4446, 17868, 630, 1492, 2773, 540, 11067, 1010, 3138, 514, 743, 1054, 264, 941, 15110, 547, 32646, 1872, 27495, 630, 845, 540, 16222, 2442, 538, 3567, 1282, 519, 476, 1556, 628, 547, 476, 1691, 628, 5553, 264, 2919, 538, 2663, 1296, 269, 4746, 267, 1082, 540, 7574, 9311, 2939, 585, 17254, 27495, 941, 7550, 547, 519, 27132, 540, 575, 698, 27495, 630, 1492, 5480, 2575, 540, 3504, 3567, 264, 543, 16768, 1279, 269, 4329, 267, 621, 1131, 581, 4023, 547, 2161, 602, 695, 880, 574, 2967, 5340, 18487, 1223, 723, 1044, 12090, 689, 17254, 27495, 269, 4014, 17254, 27495, 3294, 17379, 538, 519, 21919, 752, 3120, 1974, 267, 621, 814, 7361, 6766, 547, 824, 7900, 6575, 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 ]