Datasets:
olm
/
olm-december-2022-tokenized-1024

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
list
attention_mask
list
special_tokens_mask
list
[ 2116, 1589, 1946, 12776, 16, 225, 88, 76, 73, 9879, 292, 14045, 385, 5141, 431, 225, 88, 76, 73, 5143, 326, 225, 88, 76, 73, 23114, 292, 225, 88, 76, 73, 3260, 22966, 326, 25166, 20548, 18, 203, 38, 18, 13045, 396, 2566, 1589, 696, 2427, 1946, 12776, 13, 203, 203, 40351, 396, 2419, 12776, 1180, 2419, 11233, 13, 292, 225, 88, 76, 73, 13529, 3445, 6350, 30912, 203, 2091, 3143, 2429, 1946, 6280, 16, 225, 88, 76, 73, 9879, 292, 14045, 290, 2171, 1509, 225, 88, 76, 73, 5052, 3675, 27093, 385, 8740, 286, 9803, 2212, 8379, 292, 1913, 557, 48673, 16, 357, 385, 11138, 18, 203, 7187, 8379, 396, 7552, 1946, 6280, 696, 48673, 13, 203, 203, 37, 5575, 396, 2419, 12979, 1180, 2419, 12721, 13, 292, 225, 88, 76, 73, 631, 13529, 3445, 6350, 30912, 203, 829, 2494, 1946, 12979, 16, 225, 88, 76, 73, 13529, 3445, 6350, 385, 12501, 431, 225, 88, 76, 73, 640, 18, 4426, 4254, 4108, 18, 203, 30537, 27262, 7232, 396, 7675, 1946, 12979, 696, 2209, 1946, 12721, 13, 203, 203, 14379, 18964, 396, 2419, 12721, 13, 292, 225, 88, 76, 73, 30873, 292, 17742, 31653, 290, 9513, 292, 5052, 3675, 203, 829, 1946, 12721, 16, 5052, 3675, 385, 5141, 359, 225, 88, 76, 73, 1179, 2364, 292, 225, 88, 76, 73, 7495, 3178, 30873, 292, 17742, 31653, 203, 203, 7187, 45367, 396, 6974, 696, 2382, 1946, 12721, 13, 203, 203, 25477, 82, 816, 396, 2419, 12721, 1180, 1758, 4219, 13, 292, 225, 88, 76, 73, 30873, 292, 17742, 31653, 203, 7187, 45367, 396, 7322, 696, 4600, 2698, 1946, 12721, 13, 203, 16177, 18731, 272, 396, 6078, 2698, 1946, 12721, 696, 2209, 1946, 12886, 13, 396, 21, 334, 595, 13, 203, 49049, 578, 4095, 2583, 328, 396, 6974, 1946, 12886, 696, 1025, 1589, 1946, 6188, 13, 396, 21, 334, 595, 13, 203, 16177, 18731, 272, 396, 26, 1589, 1946, 6188, 696, 2209, 1946, 10266, 13, 396, 22, 348, 595, 13, 203, 49049, 578, 4095, 2583, 328, 396, 6974, 1946, 10266, 696, 2355, 1946, 4271, 13, 396, 22, 348, 595, 13, 203, 7187, 14753, 396, 7065, 696, 1589, 1946, 4271, 13, 396, 21, 334, 595, 13, 203, 2091, 848, 2382, 1946, 4271, 16, 225, 88, 76, 73, 9879, 292, 14045, 385, 14070, 17742, 31653, 18, 203, 18190, 17920, 5746, 396, 4644, 1946, 4271, 696, 18137, 13, 396, 21, 334, 595, 13, 203, 7187, 14753, 396, 37868, 696, 2494, 48180, 13, 396, 22, 348, 595, 13, 203, 16177, 18731, 272, 396, 7675, 48180, 696, 2827, 46547, 13, 396, 23, 4263, 595, 13, 203, 16177, 2976, 396, 8079, 46547, 696, 46547, 13, 396, 21, 334, 595, 13, 203, 18190, 17920, 5746, 396, 1758, 6834, 1180, 1758, 6257, 13, 396, 22, 348, 595, 13, 203, 16177, 2976, 396, 1758, 6257, 696, 832, 2636, 1124, 6257, 13, 396, 22, 348, 595, 13, 203, 2091, 377, 2494, 1124, 6643, 16, 17742, 31653, 396, 9288, 12779, 1389, 13, 4515, 13932, 18663, 292, 225, 88, 76, 73, 1851, 6248, 16, 290, 17742, 31653, 4108, 5686, 385, 4810, 18, 203, 18190, 17920, 5746, 396, 1758, 6731, 696, 2967, 2382, 1124, 6643, 13, 396, 23, 4263, 595, 16, 7398, 286, 377, 2494, 1124, 6643, 13, 203, 18190, 2623, 2113, 311, 13045, 396, 2866, 2382, 1124, 6643, 696, 1519, 2827, 44336, 13, 203, 31374, 378, 18, 6812, 622, 396, 1996, 2827, 44336, 696, 1589, 1124, 2288, 13, 203, 14940, 37293, 396, 4644, 696, 377, 2382, 1124, 2288, 13, 396, 14361, 13, 203, 19785, 5169, 26930, 396, 21, 2382, 1124, 2288, 696, 2382, 41374, 13, 203, 19785, 4095, 39, 18036, 396, 7322, 696, 2698, 43791, 13, 396, 21, 334, 595, 16, 7398, 326, 26930, 13, 203, 46, 18, 351, 10484, 396, 8324, 43791, 696, 2494, 41374, 13, 396, 14361, 326, 26930, 13, 203, 54, 18, 8888, 12184, 396, 7675, 696, 2209, 41374, 13, 396, 14361, 326, 26930, 13, 203, 16177, 5500, 1077, 396, 6974, 696, 2262, 41374, 13, 396, 14361, 326, 26930, 13, 203, 27696, 6949, 15196, 29006, 396, 7077, 696, 2382, 41374, 13, 396, 14361, 326, 26930, 13, 203, 19785, 4095, 39, 18036, 396, 8494, 35727, 16, 7661, 6130, 4095, 18036, 13, 396, 7322, 41374, 696, 2382, 35727, 13, 396, 22, 348, 595, 16, 7398, 286, 377, 2494, 47991, 13, 203, 21574, 9763, 10566, 396, 4309, 2382, 35727, 696, 377, 2827, 45061, 13, 396, 21, 334, 595, 16, 7398, 13, 203, 41, 18, 24903, 396, 21, 2827, 45061, 696, 832, 2827, 45061, 13, 396, 14361, 13, 203, 2091, 1946, 2485, 45061, 16, 17742, 31653, 9133, 4515, 641, 292, 3194, 2699, 4958, 42649, 18, 4992, 24749, 9892, 385, 2404, 11626, 431, 9049, 396, 8494, 48376, 1535, 36996, 17691, 11970, 13, 292, 17742, 31653, 18, 203, 21574, 9763, 10566, 396, 24, 2827, 45061, 696, 3436, 2636, 45061, 13, 396, 22, 348, 595, 16, 7398, 13, 203, 21574, 6130, 4095, 39, 18036, 396, 8209, 45061, 696, 2967, 2494, 45184, 13, 396, 23, 4263, 595, 13, 203, 19755, 18279, 1445, 11581, 396, 2866, 2494, 696, 848, 2827, 45184, 13, 396, 14361, 13, 203, 17668, 17, 9813, 7661, 6130, 16188, 396, 25, 2827, 45184, 696, 1148, 2209, 46095, 13, 203, 16930, 19265, 4095, 2583, 328, 396, 43751, 472, 13, 290, 14828, 9187, 396, 21, 334, 595, 13, 396, 28, 2209, 696, 2429, 46095, 13, 396, 14361, 13, 203, 21574, 16311, 13755, 396, 7552, 46095, 696, 2698, 48376, 13, 203, 203, 47169, 32319, 396, 1758, 4219, 1180, 1758, 5959, 13, 292, 225, 88, 76, 73, 30873, 292, 17742, 31653, 203, 36789, 27895, 1473, 396, 8324, 48376, 696, 44533, 13, 396, 21, 334, 595, 13, 203, 40, 17559, 4901, 3032, 396, 1758, 4309, 696, 1188, 1589, 44533, 13, 203, 36789, 27895, 1473, 396, 29, 2262, 696, 2382, 44533, 13, 396, 22, 348, 595, 13, 203, 41361, 9187, 396, 7322, 696, 2636, 44533, 13, 396, 22, 348, 595, 16, 7398, 13, 203, 17668, 6949, 2212, 395, 6968, 375, 396, 8209, 44533, 696, 45032, 13, 396, 14361, 13, 203, 7552, 622, 31361, 14455, 396, 1758, 4457, 1180, 1758, 1878, 13, 396, 14361, 13, 203, 30537, 4095, 23947, 23143, 396, 1758, 1878, 13, 396, 14361, 13, 203, 30537, 6629, 8307, 396, 1758, 1878, 696, 2382, 42335, 13 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 203, 12174, 8215, 636, 5024, 3445, 396, 7322, 696, 2698, 42335, 13, 396, 14361, 13, 203, 18870, 466, 4925, 10918, 396, 8324, 42335, 696, 41606, 13, 203, 18190, 12723, 396, 1758, 6181, 696, 2827, 38751, 13, 396, 21, 334, 595, 16, 7398, 13, 203, 23152, 26911, 287, 13755, 396, 8079, 38751, 696, 36996, 13, 203, 18190, 12723, 396, 1758, 5959, 13, 396, 22, 348, 595, 16, 7398, 13, 203, 203, 25477, 82, 816, 396, 1758, 5959, 1180, 26424, 13, 292, 225, 88, 76, 73, 30873, 292, 17742, 31653, 203, 203, 17608, 2335, 29900, 396, 1758, 5959, 1180, 1758, 3475, 13, 203, 7187, 7782, 353, 694, 396, 1758, 3475, 696, 2355, 37779, 13, 203, 7187, 17747, 396, 7065, 696, 2427, 37779, 13, 396, 14361, 13, 203, 16177, 21112, 1262, 263, 396, 7800, 37779, 696, 2494, 39241, 13, 396, 21, 334, 595, 16, 7398, 13, 203, 16178, 48284, 396, 7675, 39241, 696, 2382, 38019, 13, 203, 16177, 21112, 1262, 263, 396, 7322, 38019, 696, 36263, 13, 396, 22, 348, 595, 13, 203, 203, 2091, 2272, 2494, 23456, 16, 225, 88, 76, 73, 3194, 2699, 4958, 42649, 385, 22769, 290, 17742, 31653, 1001, 4515, 225, 69, 5008, 9876, 18663, 18, 203, 203, 47329, 5169, 34901, 396, 1758, 4425, 1180, 1758, 7764, 13, 203, 21574, 11835, 9317, 13972, 396, 2721, 2427, 33844, 696, 32407, 13, 396, 21, 334, 595, 13, 203, 14940, 6250, 880, 396, 1758, 7836, 13, 396, 21, 334, 595, 16, 7398, 13, 203, 21574, 9580, 2212, 5180, 396, 1758, 7836, 1180, 1758, 5592, 13, 396, 21, 334, 595, 13, 203, 14940, 6250, 880, 396, 1758, 5592, 13, 396, 22, 348, 595, 13, 203, 21574, 9580, 2212, 5180, 396, 1758, 5592, 1180, 1758, 7068, 13, 396, 22, 348, 595, 13, 203, 30537, 17057, 78, 1114, 396, 1758, 7068, 1180, 49486, 13, 203, 21574, 9580, 2212, 5180, 396, 49486, 1180, 1758, 12872, 13, 396, 23, 4263, 595, 13, 203, 16177, 5180, 290, 316, 18, 378, 18, 5110, 396, 1758, 12872, 1180, 1758, 12748, 13, 396, 14361, 13, 203, 41361, 374, 675, 1473, 3260, 446, 396, 1758, 12748, 1180, 47831, 13, 396, 21, 334, 595, 13, 203, 16177, 2212, 10991, 8307, 425, 396, 47831, 696, 591, 2827, 29878, 13, 396, 14361, 13, 203, 203, 2091, 591, 2827, 29878, 16, 17742, 31653, 9133, 4515, 641, 292, 225, 88, 76, 73, 3194, 2699, 4958, 5871, 899, 820, 18, 4992, 24749, 9892, 385, 2404, 11626, 431, 9049, 292, 17742, 31653, 18, 203, 203, 41361, 374, 675, 1473, 3260, 446, 396, 916, 2827, 29878, 696, 29009, 13, 396, 22, 348, 595, 13, 203, 43, 493, 466, 308, 32932, 12261, 71, 1595, 23353, 262, 577, 18926, 396, 1758, 12125, 13, 396, 14361, 13, 203, 41361, 374, 675, 1473, 3260, 446, 396, 1758, 12125, 1180, 1758, 9820, 13, 396, 23, 4263, 595, 13, 203, 7187, 34747, 35498, 396, 1758, 9820, 1180, 1758, 11330, 13, 396, 21, 334, 595, 16, 7398, 13, 203, 21574, 11835, 9317, 13972, 396, 1758, 11330, 1180, 1758, 10575, 13, 396, 22, 348, 595, 13, 203, 7187, 34747, 35498, 396, 1758, 10575, 13, 396, 22, 348, 595, 16, 7398, 13, 203, 52, 33617, 1553, 15823, 45984, 396, 1758, 10575, 13, 396, 14361, 13, 203, 21574, 11835, 9317, 13972, 396, 1758, 10575, 696, 2494, 29225, 13, 396, 23, 4263, 595, 13, 203, 7187, 34747, 35498, 396, 7675, 696, 2827, 29225, 13, 396, 23, 4263, 595, 16, 7398, 13, 203, 7187, 14946, 5355, 637, 93, 396, 8079, 29225, 696, 1148, 2209, 29803, 13, 203, 14940, 5169, 7040, 405, 396, 27, 1180, 2419, 2209, 29803, 13, 203, 30537, 36244, 290, 5358, 5169, 27525, 396, 2419, 2209, 696, 384, 2485, 29803, 13, 396, 14361, 13, 203, 21574, 5625, 1724, 17701, 583, 1473, 16, 377, 334, 44339, 17701, 583, 1473, 396, 22, 2485, 29803, 696, 832, 2209, 29859, 13, 203, 16178, 17651, 396, 24, 2209, 696, 1946, 2698, 29859, 13, 203, 203, 2091, 1946, 2698, 29859, 16, 3194, 2699, 4958, 5871, 899, 820, 385, 14070, 3194, 2699, 4523, 5871, 899, 820, 18, 203, 203, 16178, 3395, 396, 2419, 2698, 29859, 696, 28675, 13, 396, 14361, 13, 203, 32284, 30975, 13865, 42688, 270, 20635, 343, 474, 396, 1758, 4946, 13, 396, 21, 334, 595, 13, 203, 21574, 14828, 43161, 396, 1758, 4946, 1180, 1758, 8612, 13, 396, 21, 334, 595, 13, 203, 32284, 30975, 13865, 42688, 270, 20635, 343, 474, 396, 1758, 8612, 1180, 1758, 7147, 13, 396, 22, 348, 595, 13, 203, 28455, 37192, 3988, 41709, 4799, 396, 1758, 7147, 13, 396, 14361, 13, 203, 21574, 14828, 43161, 396, 7800, 29501, 696, 19976, 13, 396, 22, 348, 595, 13, 203, 16177, 3568, 270, 396, 44198, 1180, 49312, 13, 396, 14361, 13, 203, 21574, 14828, 43161, 396, 49312, 13, 396, 23, 4263, 595, 13, 203, 44637, 17131, 14589, 5593, 396, 49312, 13, 396, 21, 334, 595, 16, 7398, 13, 203, 25983, 6443, 15829, 378, 1855, 1070, 396, 49312, 1180, 49307, 13, 396, 21, 334, 595, 13, 203, 44637, 17131, 14589, 5593, 396, 49307, 13, 396, 22, 348, 595, 16, 7398, 13, 203, 25983, 6443, 15829, 378, 1855, 1070, 396, 49307, 1180, 49030, 13, 396, 22, 348, 595, 13, 203, 25983, 351, 18, 8717, 13858, 396, 49030, 13, 396, 14361, 13, 203, 44637, 17131, 14589, 5593, 396, 49030, 1180, 45777, 13, 396, 23, 4263, 595, 16, 7398, 13, 203, 21574, 14828, 43161, 396, 45777, 1180, 47692, 13, 396, 24, 88, 76, 595, 13, 203, 21574, 3988, 16818, 9233, 396, 47692, 1180, 47846, 13, 396, 21, 334, 595, 16, 7398, 13, 203, 21574, 14828, 43161, 396, 47846, 1180, 45425, 13, 396, 25, 88, 76, 595, 13, 203, 7187, 35104, 16683, 1553, 396, 45425, 13, 396, 21, 334, 595, 16, 7398, 13, 203, 203, 2091, 3436, 2636, 25536, 16, 225, 88, 76, 73, 3194, 2699, 4523, 5871, 899, 820, 385, 22769, 290, 17742, 31653, 1001, 4515, 225, 69, 5008, 9876, 18663, 18, 203, 203, 21574, 3988, 16818, 9233, 396, 45425, 1180, 45354, 13, 396, 22, 348, 595, 16, 7398, 286, 2357, 2636, 25536, 13, 203, 16177, 12622, 28458, 5593, 290, 8258, 5485, 18608, 396, 45354, 13, 396, 14361, 13, 203, 7187, 35104, 16683, 1553, 396, 45354, 1180, 40518, 13, 396, 22, 348, 595, 13, 203, 21574, 3988, 16818, 9233, 396 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 40518, 1180, 45774, 13, 396, 23, 4263, 595, 13, 203, 7187, 7804, 7777, 27522, 396, 45774, 1180, 44634, 13, 396, 14361, 13, 203, 16177, 3694, 1214, 10089, 44398, 296, 6906, 396, 44634, 13, 396, 21, 334, 595, 16, 7398, 13, 203, 44637, 33843, 396, 44634, 1180, 46085, 13, 396, 21, 334, 595, 13, 203, 16177, 3694, 1214, 10089, 44398, 296, 6906, 396, 46085, 13, 396, 22, 348, 595, 16, 7398, 13, 203, 44637, 33843, 396, 46085, 1180, 46036, 13, 396, 22, 348, 595, 13, 203, 16177, 3694, 1214, 10089, 44398, 296, 6906, 396, 46036, 13, 396, 23, 4263, 595, 16, 7398, 13, 203, 22662, 17147, 6038, 415, 396, 46036, 1180, 42595, 13, 396, 21, 334, 595, 13, 203, 46, 18, 430, 18, 43218, 3676, 396, 42595, 696, 2357, 2429, 23836, 13, 396, 21, 334, 595, 16, 7398, 13, 203, 203, 2091, 2357, 2429, 23836, 16, 289, 7301, 944, 292, 17742, 31653, 4515, 3194, 10763, 31282, 16, 290, 9876, 18663, 385, 14070, 17742, 31653, 30873, 290, 36850, 31282, 18, 203, 203, 22662, 17147, 6038, 415, 396, 8494, 3143, 2262, 24238, 16, 7661, 44806, 6038, 415, 13, 396, 3732, 2429, 23836, 696, 24238, 13, 396, 22, 348, 595, 13, 203, 12919, 13362, 321, 382, 78, 281, 29607, 396, 44661, 13, 396, 14361, 13, 203, 46, 18, 430, 18, 43218, 3676, 396, 44661, 13, 396, 22, 348, 595, 16, 7398, 13, 203, 21574, 44806, 6038, 415, 396, 44661, 1180, 42333, 13, 396, 23, 4263, 595, 13, 203, 25011, 16144, 396, 42333, 13, 396, 14361, 13, 203, 21574, 44806, 6038, 415, 396, 42333, 1180, 30504, 13, 396, 24, 88, 76, 595, 13, 203, 39, 2583, 3676, 396, 30504, 696, 1814, 2698, 14569, 13, 396, 23, 4263, 595, 16, 7398, 13, 203, 21574, 6130, 2938, 17, 13656, 1010, 396, 2288, 2698, 14569, 696, 685, 2485, 21386, 13, 203, 47169, 17, 45887, 17131, 5442, 43745, 7697, 396, 40728, 13, 396, 14361, 1027, 2938, 17, 13656, 1010, 385, 291, 225, 88, 76, 73, 3261, 13, 203, 45887, 2212, 2474, 496, 1553, 13885, 1473, 14783, 396, 1758, 2427, 22163, 696, 832, 2485, 22163, 13, 396, 14361, 1027, 2938, 17, 13656, 1010, 385, 291, 225, 88, 76, 73, 3261, 13, 203, 45887, 5485, 2212, 33062, 396, 24, 2485, 22163, 696, 7747, 396, 14361, 1027, 2938, 17, 13656, 1010, 385, 291, 225, 88, 76, 73, 3261, 13, 203, 21574, 22321, 980, 1553, 82, 396, 23, 2485, 21386, 696, 17007, 13, 203, 21574, 9317, 9835, 5079, 415, 1568, 396, 31512, 1180, 35497, 13, 396, 21, 334, 595, 13, 203, 2997, 1618, 26502, 293, 396, 35497, 13, 396, 14361, 13, 203, 21574, 9317, 9835, 5079, 415, 1568, 396, 35497, 1180, 35306, 13, 396, 22, 348, 595, 13, 203, 21574, 6476, 3988, 39462, 396, 29, 2209, 18168, 696, 18317, 13, 396, 21, 334, 595, 13, 203, 7187, 331, 18, 26930, 396, 33079, 13, 396, 14361, 13, 203, 21574, 6476, 3988, 39462, 396, 33079, 696, 832, 1589, 18154, 13, 396, 22, 348, 595, 13, 203, 30537, 395, 555, 1978, 45518, 396, 8494, 18010, 16, 7661, 9763, 395, 555, 1978, 45518, 13, 396, 24, 1589, 18154, 696, 2357, 2427, 18020, 13, 203, 21574, 7804, 36971, 1330, 4925, 35807, 396, 3732, 2427, 18020, 696, 17003, 13, 396, 21, 334, 595, 13, 203, 8323, 332, 1472, 2284, 6299, 396, 31394, 1180, 24198, 13, 396, 14361, 13, 203, 21574, 7804, 36971, 1330, 4925, 35807, 396, 24198, 696, 3275, 1589, 18189, 13, 396, 22, 348, 595, 13, 203, 21574, 19832, 3332, 270, 3995, 88, 24500, 2822, 396, 3859, 1589, 18189, 696, 1946, 2382, 17555, 13, 203, 21574, 6949, 2962, 1572, 17, 49, 998, 11467, 396, 2419, 2382, 17555, 696, 2967, 1589, 16338, 13, 203, 21574, 13518, 3988, 478, 454, 622, 396, 2866, 1589, 16338, 696, 848, 2382, 13918, 13, 203, 21574, 43260, 2525, 3487, 1070, 34858, 396, 25, 2382, 13918, 696, 2427, 14186, 13, 203, 21574, 4426, 3841, 272, 1978, 17, 33143, 2908, 396, 7800, 14186, 696, 2698, 14541, 13, 203, 21574, 5358, 486, 1343, 275, 6060, 3757, 396, 8324, 14541, 696, 377, 2427, 13698, 13, 203, 43159, 525, 6949, 10448, 1010, 396, 8494, 384, 2494, 14106, 16, 7661, 26139, 6949, 10448, 1010, 13, 396, 21, 2427, 13698, 696, 3498, 2355, 13356, 13, 203, 203, 829, 13356, 16, 17742, 31653, 6892, 10980, 423, 225, 88, 76, 73, 1851, 6248, 18, 1979, 10980, 16, 225, 88, 76, 73, 3337, 262, 802, 291, 17742, 31653, 385, 225, 88, 76, 73, 9049, 17, 9813, 292, 17742, 31653, 18, 203, 203, 3591, 568, 203, 203, 6355, 292, 17742, 31653, 203, 15357, 292, 17742, 31653, 203, 7521, 292, 7780, 292, 1627, 292, 17742, 31653, 203, 7521, 292, 7780, 292, 2151, 292, 17742, 31653, 203, 203, 1987, 203, 203, 10571, 334, 775, 4063, 18, 3735, 30, 17742, 31653, 203, 43, 8011, 637, 3949, 292, 12261, 16, 395, 362, 366, 954, 2198, 4063, 16, 39756, 29760, 16, 35070, 4803, 80, 3130, 8423, 203, 23260, 2198, 290, 395, 362, 366, 16, 2212, 13779, 16, 48500, 944, 17951, 203, 55, 15546, 31653, 203, 12808, 2699, 4523, 203, 6355, 292, 17742, 31653, 203, 21572, 2347, 17, 7945, 291, 17742, 31653, 2, 0, 8878, 6875, 30, 12239, 38727, 325, 225, 88, 76, 73, 7618, 318, 225, 69, 7196, 9518, 1782, 581, 225, 88, 76, 73, 969, 292, 7063, 3571, 6875, 18, 225, 409, 1782, 385, 5782, 431, 4838, 30783, 1010, 290, 3055, 431, 30783, 1010, 290, 4838, 29960, 7194, 18, 203, 203, 3257, 2477, 203, 8878, 6875, 30, 12239, 38727, 325, 225, 88, 76, 73, 7618, 383, 225, 88, 76, 73, 5215, 15638, 21958, 203, 203, 16117, 3596, 203, 4387, 9518, 3596, 203, 26446, 578, 3596, 581, 7907, 203, 16117, 9518, 3596, 203, 13981, 87, 2764, 17, 11345, 3596, 203, 13981, 87, 1644, 3596, 2, 0, 5228, 10438, 385, 225, 69, 10512, 331, 23, 17, 41, 13218, 2913, 292, 1644, 29422, 22950, 345, 385, 29079, 431, 225, 291, 2262, 13525, 291, 225, 88, 76, 73, 3550, 9416, 18, 409, 2913, 16, 2387, 291, 10679, 431, 38301, 11041, 13388, 291, 39764, 16, 9318, 16, 385, 554, 292, 3815, 5597, 8521, 2387, 326, 225, 88, 76, 73, 1851, 2198, 25706, 5357, 325, 9089, 292, 1644, 29422, 22950, 18, 3685, 292, 225, 69, 2914, 292, 10225, 1673 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 17554, 225, 88, 76, 73, 2913, 383, 225, 88, 76, 73, 595, 292, 633, 28926, 25116, 16, 2272, 643, 5588, 31, 745, 292, 225, 88, 76, 73, 609, 10503, 12949, 325, 225, 88, 76, 73, 5403, 292, 37540, 2701, 1477, 819, 225, 88, 76, 73, 28017, 18, 203, 203, 10449, 225, 203, 5228, 10438, 385, 225, 69, 13218, 2913, 8154, 968, 396, 6589, 786, 18, 2116, 7147, 13, 431, 38301, 11041, 13388, 292, 39764, 16, 9318, 16, 326, 225, 88, 76, 73, 1851, 2198, 25706, 5357, 325, 9089, 292, 1644, 29422, 22950, 18, 409, 2913, 16, 554, 292, 3815, 5597, 8521, 2387, 326, 1644, 29422, 431, 38301, 11041, 13388, 16, 385, 5292, 396, 6655, 13, 325, 1260, 2209, 10679, 16, 290, 5846, 286, 1644, 29422, 325, 1124, 2355, 18, 203, 203, 521, 2913, 16, 6581, 383, 2836, 385, 225, 291, 4980, 16, 225, 475, 73, 321, 16, 290, 12653, 16, 1913, 1236, 644, 1220, 21579, 16, 290, 882, 9759, 225, 69, 5643, 292, 1136, 7106, 290, 5742, 1673, 18, 1542, 1651, 633, 383, 633, 4001, 1174, 3554, 292, 2836, 10438, 385, 7482, 346, 797, 10404, 32469, 16, 1119, 568, 2387, 431, 38301, 11041, 13388, 18, 1456, 629, 1570, 1689, 650, 225, 88, 76, 73, 1851, 2198, 6291, 2107, 2446, 3299, 291, 2698, 13918, 16, 225, 88, 76, 73, 2913, 385, 12166, 346, 554, 225, 7711, 4960, 290, 1560, 3687, 11131, 16, 290, 5642, 225, 69, 9853, 292, 2769, 16694, 22276, 28039, 4063, 286, 563, 624, 18, 203, 203, 2091, 1124, 2262, 13525, 16, 10438, 22987, 423, 33409, 16, 3350, 16, 326, 10423, 6350, 16, 2027, 4523, 16, 346, 225, 69, 13218, 292, 563, 880, 627, 22853, 16, 489, 1379, 16, 7805, 16, 290, 609, 6148, 18, 1456, 13950, 30, 1878, 325, 1872, 2262, 16, 1027, 21871, 2340, 1966, 3686, 325, 225, 69, 46077, 17, 94, 356, 1619, 1689, 2067, 2836, 225, 69, 2592, 10514, 11843, 431, 225, 29725, 225, 88, 76, 73, 6829, 383, 2340, 225, 88, 76, 73, 1150, 595, 345, 797, 28926, 2931, 423, 225, 88, 76, 73, 1150, 25120, 2843, 519, 1031, 325, 10438, 18, 409, 724, 34974, 10432, 225, 88, 76, 73, 13218, 2913, 383, 1257, 945, 325, 225, 88, 76, 73, 2592, 3136, 1752, 1689, 225, 88, 76, 73, 786, 18, 1148, 23182, 18, 409, 1361, 34974, 16, 573, 2843, 2176, 6042, 819, 225, 88, 76, 73, 724, 16, 2843, 383, 225, 88, 76, 73, 786, 18, 848, 23182, 18, 409, 37096, 22612, 706, 225, 88, 76, 73, 23182, 6258, 16, 18192, 524, 225, 88, 76, 73, 11131, 16, 290, 9489, 225, 88, 76, 73, 4824, 16, 13085, 225, 69, 20235, 1015, 18, 409, 2913, 2483, 28017, 431, 225, 88, 76, 73, 27246, 2340, 3856, 16, 290, 225, 88, 76, 73, 7106, 16, 5643, 16, 290, 16694, 22276, 8630, 36762, 1837, 286, 225, 88, 76, 73, 969, 28761, 18, 4626, 10438, 385, 1146, 18062, 874, 1027, 28017, 16, 797, 292, 225, 88, 76, 73, 1220, 10837, 5292, 643, 1643, 17840, 31, 225, 88, 76, 73, 22616, 1673, 17554, 225, 88, 76, 73, 786, 18, 377, 5499, 16, 554, 292, 225, 88, 76, 73, 4927, 1643, 17840, 16, 479, 36986, 18, 409, 786, 18, 384, 5499, 16, 346, 12405, 1673, 17554, 16, 959, 2171, 8247, 325, 225, 88, 76, 73, 5403, 292, 37540, 2701, 1477, 819, 225, 88, 76, 73, 28017, 18, 6480, 5643, 1010, 1641, 10250, 644, 5758, 652, 325, 225, 69, 969, 39152, 16, 517, 3230, 286, 225, 69, 1257, 17, 17048, 969, 16970, 1641, 10690, 22040, 431, 225, 69, 8091, 46282, 290, 12949, 383, 10423, 6350, 18, 203, 203, 9824, 203, 203, 1987, 6286, 9664, 203, 17768, 331, 23, 17, 41, 8521, 203, 38245, 2387, 291, 39764, 16, 9318, 203, 23668, 8521, 203, 10571, 2446, 3299, 16635, 8521, 292, 225, 88, 76, 73, 1851, 2198, 203, 38245, 29079, 431, 4913, 36101, 203, 10571, 2446, 3299, 2913, 91, 264, 6804, 291, 225, 88, 76, 73, 3550, 9416, 203, 3672, 14562, 14214, 291, 2262, 13525, 2, 0, 21799, 11282, 318, 225, 69, 4725, 291, 225, 88, 76, 73, 2086, 292, 3023, 18, 203, 203, 2598, 709, 7984, 991, 16, 225, 88, 76, 73, 4725, 5795, 383, 225, 69, 21714, 346, 2525, 327, 5589, 20061, 1239, 290, 10625, 526, 11682, 18, 1456, 709, 10054, 991, 16, 225, 88, 76, 73, 4725, 318, 225, 69, 2410, 706, 4019, 2495, 18, 601, 318, 965, 286, 3146, 9357, 16, 225, 88, 76, 73, 2086, 292, 3023, 6424, 5563, 16, 290, 225, 69, 1319, 292, 2237, 17, 3495, 2156, 1251, 290, 7459, 18, 203, 203, 21799, 11282, 385, 3249, 359, 357, 12551, 225, 88, 76, 73, 1367, 5250, 2832, 16, 573, 385, 5476, 819, 225, 88, 76, 73, 24335, 292, 10679, 18, 24016, 225, 88, 76, 73, 4725, 644, 652, 3249, 2212, 3568, 16, 819, 2938, 2212, 18, 203, 203, 521, 14262, 1179, 945, 9412, 3505, 318, 25506, 23106, 3568, 16, 290, 225, 88, 76, 73, 14262, 3023, 26407, 3505, 318, 12538, 5180, 18, 203, 203, 1987, 203, 203, 13588, 1138, 291, 225, 88, 76, 73, 2086, 292, 3023, 2, 0, 5013, 526, 5425, 1380, 3188, 286, 30, 4327, 4795, 4433, 526, 5425, 396, 24479, 14933, 873, 225, 88, 76, 73, 4574, 2151, 292, 225, 88, 76, 73, 4433, 526, 4321, 292, 3671, 203, 1063, 4433, 526, 5425, 396, 31394, 1180, 32240, 873, 225, 69, 9126, 32908, 472, 3084, 291, 1524, 354, 33748, 203, 30304, 666, 4433, 526, 5425, 396, 31070, 1180, 31357, 873, 5096, 17, 47, 89, 2568, 464, 700, 2151, 291, 225, 88, 76, 73, 30304, 666, 9879, 292, 225, 88, 76, 73, 4321, 292, 3671, 203, 4433, 526, 5425, 292, 26296, 396, 23668, 873, 8670, 17, 27967, 2151, 286, 10050, 7892, 225, 88, 76, 73, 8670, 15234, 292, 26296, 203, 23662, 4433, 526, 5425, 396, 24516, 1180, 29022, 873, 8670, 17, 27967, 3415, 1627, 291, 7716, 7573, 203, 4433, 526, 26740, 5425, 396, 21029, 1180, 20345, 873, 2151, 292, 23131, 2439, 819, 225, 69, 8302, 431, 1063, 37630, 14664, 203, 409, 4433, 526, 5425, 396, 8145, 1180, 8101, 873, 225, 69, 1565, 326, 225, 88, 76, 73, 6116, 6875, 9462, 1013, 431, 8517, 5604, 26325, 6875, 526, 19631, 2151, 292, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 88, 76, 73, 1851, 6248, 819, 225, 88, 76, 73, 2153, 3261, 2639, 5028, 18, 2, 0, 14743, 17596, 378, 844, 385, 225, 69, 3472, 2145, 325, 225, 88, 76, 73, 2677, 374, 5928, 5158, 11583, 18, 601, 385, 3909, 291, 18020, 286, 3665, 225, 88, 76, 73, 4227, 292, 4367, 17596, 18, 601, 385, 4595, 291, 13811, 650, 11708, 1382, 643, 24986, 423, 225, 88, 76, 73, 374, 5928, 5158, 11583, 18, 409, 3505, 1882, 1248, 2775, 286, 744, 1444, 787, 524, 292, 225, 88, 76, 73, 4227, 526, 1950, 18, 4367, 17596, 644, 1912, 652, 965, 286, 1220, 2794, 26973, 18, 1790, 16, 2794, 1482, 22953, 291, 4367, 17596, 291, 225, 88, 76, 73, 1846, 19976, 87, 16, 770, 1560, 806, 819, 225, 88, 76, 73, 1695, 3909, 291, 28379, 18, 409, 23305, 385, 449, 2387, 1535, 941, 819, 225, 88, 76, 73, 14409, 292, 225, 88, 76, 73, 2794, 26973, 18, 203, 203, 1987, 203, 203, 9692, 3759, 9412, 6463, 291, 41924, 14656, 203, 18174, 291, 41924, 14656, 203, 6355, 292, 41924, 14656, 203, 15720, 3677, 5201, 11583, 6463, 203, 23224, 6463, 291, 3677, 7996, 3909, 291, 18020, 203, 23224, 6463, 291, 3677, 7996, 4595, 291, 13811, 2, 0, 18391, 3676, 318, 279, 19348, 7053, 292, 2699, 22465, 291, 225, 88, 76, 73, 1851, 6248, 290, 7465, 554, 2260, 286, 1331, 325, 2699, 22465, 2307, 3721, 18, 409, 1474, 2307, 41427, 16, 37088, 19502, 454, 16, 318, 568, 14071, 13826, 292, 2699, 22465, 2307, 3721, 18, 203, 203, 18356, 300, 203, 521, 7053, 6258, 225, 88, 76, 73, 2364, 292, 5355, 3676, 31, 290, 225, 88, 76, 73, 11048, 292, 11427, 15296, 16, 21987, 3797, 16, 2407, 39207, 3866, 16, 27199, 7194, 290, 2699, 421, 7833, 22334, 18, 203, 203, 1266, 17381, 225, 88, 76, 73, 1737, 20051, 3032, 4010, 34283, 30, 11427, 15296, 16, 27199, 7194, 954, 2699, 421, 7833, 22334, 13211, 290, 5355, 3676, 13211, 31, 290, 292, 225, 88, 76, 73, 1737, 4967, 30062, 30, 11427, 15296, 16, 225, 88, 76, 73, 7716, 641, 292, 5355, 3676, 16, 27199, 7194, 290, 2699, 421, 7833, 22334, 18, 203, 203, 39927, 2241, 203, 203, 9493, 20384, 203, 15663, 292, 225, 88, 76, 73, 5028, 2404, 325, 384, 1589, 2855, 30, 203, 203, 10427, 20384, 203, 15663, 292, 225, 88, 76, 73, 5028, 2404, 325, 832, 2262, 3384, 30, 203, 203, 11831, 20384, 203, 15663, 292, 225, 88, 76, 73, 5028, 2404, 325, 848, 1589, 4589, 30, 203, 203, 1987, 203, 39927, 15120, 774, 2699, 22465, 2307, 3721, 203, 203, 3257, 2477, 203, 2699, 22465, 2307, 3721, 203, 20384, 20040, 203, 203, 41, 28447, 49275, 292, 2699, 22465, 2, 0, 22136, 1361, 83, 492, 7891, 1623, 286, 1176, 405, 9623, 521, 6116, 3949, 292, 316, 432, 14486, 287, 9530, 318, 225, 69, 3208, 292, 11142, 1452, 431, 10787, 1483, 20243, 27283, 71, 768, 35954, 16, 724, 3179, 291, 1958, 4219, 18, 332, 548, 292, 16848, 5939, 5118, 16, 357, 2626, 225, 88, 76, 73, 724, 1712, 418, 8932, 425, 290, 1290, 301, 356, 15406, 16, 359, 761, 359, 225, 88, 76, 73, 12944, 917, 292, 12280, 325, 279, 2536, 5116, 396, 77, 18, 73, 18, 449, 225, 69, 2220, 1963, 16, 359, 291, 479, 4164, 1452, 859, 6275, 1361, 83, 492, 7891, 1623, 286, 1176, 405, 318, 7303, 11848, 359, 225, 69, 864, 1570, 291, 27283, 71, 768, 35954, 526, 269, 73, 10841, 264, 18, 203, 203, 6355, 203, 4256, 27283, 71, 768, 35954, 526, 724, 1184, 292, 286, 1176, 30551, 396, 2455, 2173, 873, 6275, 1361, 83, 492, 7891, 1623, 286, 1176, 405, 4730, 18155, 291, 1952, 4341, 30, 203, 1814, 286, 1176, 30551, 203, 1025, 424, 29327, 287, 203, 832, 41088, 203, 685, 17217, 830, 1538, 203, 848, 43064, 487, 454, 73, 396, 75, 20431, 1320, 13, 203, 1025, 1348, 1261, 272, 1563, 832, 641, 20810, 225, 203, 6005, 323, 16, 225, 88, 76, 73, 1444, 3525, 292, 225, 88, 76, 73, 3208, 318, 6275, 1361, 83, 492, 7891, 1623, 286, 1176, 405, 16, 424, 20805, 16, 1871, 77, 294, 11, 6990, 2166, 16, 17217, 830, 267, 16, 43064, 487, 454, 73, 16, 1348, 1261, 77, 1844, 358, 1321, 641, 576, 294, 11, 2944, 466, 335, 2486, 69, 1623, 271, 353, 2195, 83, 1844, 1223, 83, 18, 601, 385, 724, 3179, 291, 9269, 291, 1958, 4219, 16, 650, 27283, 71, 768, 35954, 2406, 359, 46333, 292, 640, 18, 5409, 526, 43149, 18, 409, 3031, 385, 27824, 431, 32483, 34638, 8699, 15235, 16, 10711, 290, 8388, 15672, 346, 5334, 27283, 71, 768, 35954, 644, 2406, 1364, 383, 2070, 1958, 2721, 18, 409, 11394, 4069, 225, 88, 76, 73, 1184, 286, 30742, 569, 281, 42323, 11370, 83, 16, 11614, 292, 14678, 4102, 290, 309, 15833, 989, 292, 48000, 16, 225, 69, 8964, 11142, 2946, 596, 783, 427, 652, 554, 292, 522, 14082, 18, 332, 1361, 8093, 4938, 291, 1958, 5959, 16, 12138, 286, 225, 88, 76, 73, 724, 16, 6337, 1342, 225, 88, 76, 73, 269, 43940, 5195, 12280, 18, 203, 203, 22136, 1361, 83, 492, 7891, 1623, 286, 1176, 405, 18376, 797, 1263, 1768, 41711, 423, 27283, 71, 768, 35954, 526, 6456, 2651, 18, 3440, 290, 17326, 16, 357, 4730, 1579, 45914, 3927, 16, 225, 88, 76, 73, 11394, 526, 724, 326, 597, 698, 225, 88, 76, 73, 1962, 292, 14428, 11142, 1452, 396, 18403, 458, 979, 23888, 14428, 9077, 1452, 30, 797, 9618, 292, 3057, 1138, 16, 554, 292, 573, 318, 2970, 16, 643, 3179, 291, 2775, 1958, 825, 87, 16, 290, 27517, 3057, 1138, 9320, 291, 25804, 31, 27283, 71, 768, 35954, 703, 1708, 9969, 225, 69, 1648, 5887, 292, 45914, 1223, 3927, 16, 393, 1409, 77, 5281, 77, 16, 554, 292, 522, 745, 3067, 11848, 290, 14224, 2016, 859, 29810, 16, 225, 88, 76, 73, 1184, 4730, 27283, 71, 768, 35954, 526, 770, 1712, 1264, 349, 1990, 396, 1586, 25290, 15060, 317, 2236, 526, 10990, 32219, 274, 14678, 333, 311, 3133, 16, 2360, 873, 4324, 2765, 359, 225, 69, 24848, 286, 554, 292, 225, 88, 76, 73, 9379, 4341, 292, 11142, 1452, 18, 203, 203, 9824, 203, 203, 1987, 9664, 9763, 5086, 70, 4423, 18, 689, 27842 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1483, 20243, 27283, 71, 768, 35954, 2995, 16705, 4107, 5184, 16, 1084, 18, 411, 18, 43105, 16, 48667, 24531, 18, 1633, 396, 87, 6501, 4187, 1496, 859, 203, 203, 3257, 2477, 9664, 203, 2854, 42115, 431, 10787, 1483, 20243, 27283, 71, 768, 35954, 203, 2854, 42115, 326, 11142, 203, 42, 465, 1176, 768, 35954, 203, 2455, 4219, 291, 1452, 2, 0, 55, 6797, 363, 719, 396, 3640, 13698, 13, 318, 225, 69, 14785, 11394, 18, 731, 7051, 9203, 346, 23710, 428, 30929, 16758, 16, 2623, 428, 30929, 75, 15483, 4263, 16, 290, 16454, 332, 505, 49399, 42508, 18, 203, 203, 4379, 7884, 286, 3868, 458, 385, 3962, 396, 10958, 1222, 29942, 13, 292, 225, 88, 76, 73, 5138, 14785, 5029, 292, 4107, 18, 203, 203, 3257, 2477, 203, 27276, 292, 363, 719, 383, 309, 1018, 380, 18, 1633, 203, 12574, 325, 363, 719, 291, 4901, 8869, 389, 555, 373, 396, 77, 82, 14785, 13, 203, 203, 6004, 717, 203, 27405, 4686, 203, 41751, 9850, 17748, 203, 41751, 4062, 9850, 17748, 203, 825, 88, 76, 17, 4577, 9850, 17748, 203, 2866, 334, 17, 4577, 9850, 17748, 203, 21094, 14785, 5029, 292, 4107, 6752, 203, 15311, 292, 2420, 5071, 396, 14899, 717, 13, 203, 41043, 4658, 292, 2623, 428, 30929, 75, 15483, 4263, 203, 825, 88, 76, 17, 4577, 14785, 4062, 7956, 203, 2866, 334, 17, 4577, 4062, 7956, 2, 0, 1200, 318, 225, 69, 1241, 292, 2016, 431, 478, 18, 351, 18, 421, 18, 1254, 1273, 1812, 43056, 16, 225, 88, 76, 73, 3395, 24551, 10710, 405, 18, 203, 203, 39239, 203, 203, 16881, 526, 2929, 203, 203, 16162, 3457, 203, 203, 9342, 2813, 7628, 32750, 203, 8163, 22213, 431, 389, 44172, 42789, 291, 12180, 359, 689, 521, 37560, 6, 203, 203, 49, 19516, 1844, 1661, 465, 522, 273, 2942, 203, 203, 9342, 394, 14574, 1844, 1661, 465, 3553, 907, 11997, 203, 6, 9342, 394, 14574, 1844, 1661, 465, 3553, 907, 11997, 6, 385, 12988, 698, 2764, 359, 689, 521, 11221, 954, 4168, 13786, 7615, 22862, 6, 431, 331, 18, 49577, 18, 203, 203, 15434, 353, 1874, 1844, 1661, 465, 266, 6083, 743, 203, 203, 37, 22268, 1812, 27577, 2571, 203, 203, 9342, 393, 18354, 476, 39965, 11764, 1844, 1661, 465, 2085, 6083, 486, 225, 88, 76, 38821, 714, 1812, 40801, 7225, 203, 203, 39, 22295, 322, 716, 46055, 296, 1844, 1661, 465, 5965, 1722, 203, 203, 47646, 267, 15646, 4300, 35863, 486, 30216, 2571, 203, 203, 19919, 597, 203, 203, 17826, 43775, 203, 203, 58, 802, 505, 22764, 16958, 337, 1045, 203, 203, 54, 9316, 18, 12566, 6060, 6756, 17551, 17421, 203, 203, 44866, 23421, 203, 203, 23059, 23294, 1812, 3519, 6756, 36839, 321, 5198, 321, 203, 203, 8163, 22213, 431, 225, 88, 76, 73, 7037, 698, 3395, 203, 203, 6538, 342, 486, 2799, 83, 46913, 203, 8163, 4275, 292, 689, 6538, 28271, 486, 2799, 83, 46913, 6, 423, 15322, 5706, 698, 3395, 18, 738, 17476, 1339, 16, 22553, 291, 225, 88, 76, 73, 806, 1583, 5858, 1180, 2173, 3475, 16, 4730, 225, 88, 76, 73, 36402, 292, 225, 69, 49475, 390, 4382, 16, 5334, 225, 88, 76, 73, 1644, 15648, 1900, 18, 25643, 15004, 6884, 359, 1113, 328, 9499, 9012, 19479, 486, 995, 13607, 3889, 18, 203, 203, 21574, 387, 8062, 203, 203, 8163, 22213, 431, 225, 88, 76, 73, 7037, 698, 3395, 203, 203, 16991, 285, 36144, 1600, 486, 2215, 48400, 574, 1019, 1812, 3977, 1844, 697, 269, 814, 10166, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 38, 12026, 23747, 431, 5103, 203, 38, 12026, 23747, 292, 3395, 6146, 203, 16881, 526, 8049, 47084, 23747, 2, 0, 2346, 838, 1584, 4841, 5624, 16, 39003, 21390, 16, 290, 955, 609, 664, 40744, 282, 1098, 8487, 16, 568, 1712, 359, 225, 88, 76, 73, 4841, 5624, 16, 2674, 18, 3408, 1583, 13041, 16, 396, 4219, 6443, 94, 18, 21, 16, 271, 18, 384, 13, 385, 279, 3408, 292, 225, 88, 76, 73, 8572, 292, 3994, 4361, 1154, 225, 88, 76, 73, 2764, 43968, 18, 409, 3408, 23333, 479, 5250, 6402, 21390, 286, 2819, 225, 88, 76, 73, 1868, 1434, 3303, 1477, 388, 544, 703, 339, 30577, 326, 864, 47349, 16, 6468, 1434, 225, 88, 76, 73, 3303, 1477, 544, 49560, 279, 34065, 286, 27970, 225, 88, 76, 73, 7296, 18, 7105, 596, 4563, 70, 7413, 624, 16, 290, 479, 1059, 596, 3583, 292, 519, 4933, 290, 6449, 286, 1075, 225, 88, 76, 73, 7655, 16, 703, 339, 35115, 290, 25976, 326, 30851, 16, 388, 691, 225, 88, 76, 73, 7655, 17605, 286, 744, 279, 1953, 292, 624, 16, 544, 1380, 339, 12328, 326, 47349, 18, 203, 203, 21062, 596, 385, 3459, 527, 359, 225, 69, 37606, 11595, 396, 77, 18, 73, 18, 691, 544, 643, 11007, 9218, 291, 225, 69, 37606, 39003, 13, 644, 286, 2877, 286, 3994, 1434, 2701, 2039, 16, 290, 857, 1434, 797, 1477, 292, 13780, 24739, 286, 6341, 286, 225, 88, 76, 73, 7296, 290, 568, 949, 225, 88, 76, 73, 34065, 2505, 431, 225, 88, 76, 73, 3408, 292, 2279, 9669, 1941, 1583, 7096, 18, 29585, 286, 502, 541, 385, 47349, 18, 4752, 982, 596, 979, 949, 225, 88, 76, 73, 34065, 385, 25646, 423, 2563, 1434, 1136, 4638, 292, 225, 88, 76, 73, 7296, 326, 1136, 806, 6468, 544, 644, 633, 1797, 3055, 9443, 18, 8240, 16, 6981, 286, 11338, 442, 9070, 385, 47349, 18, 203, 203, 6685, 8394, 292, 225, 88, 76, 73, 3408, 203, 203, 8897, 9141, 314, 203, 521, 3408, 385, 27427, 346, 891, 21616, 291, 225, 88, 76, 73, 1172, 5727, 292, 9141, 526, 13306, 18, 601, 783, 761, 339, 345, 383, 724, 225, 88, 76, 73, 2764, 5425, 6951, 345, 26023, 277, 21390, 703, 339, 279, 11734, 3125, 286, 225, 88, 76, 73, 6402, 2163, 396, 441, 385, 3629, 286, 339, 2938, 3988, 314, 526, 1629, 1708, 4922, 691, 541, 544, 2678, 2891, 345, 289, 1239, 341, 5844, 643, 3046, 18, 6420, 926, 2764, 26225, 619, 2046, 1133, 1583, 13041, 290, 1958, 6834, 16, 292, 5334, 225, 88, 76, 73, 891, 4889, 643, 21390, 16, 5200, 225, 88, 76, 73, 5425, 526, 15569, 345, 786, 554, 385, 961, 2880, 26327, 11542 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 325, 2047, 292, 519, 9214, 18, 409, 30619, 326, 19389, 10761, 292, 225, 88, 76, 73, 28650, 385, 345, 1154, 225, 88, 76, 73, 2391, 346, 7139, 16, 225, 88, 76, 73, 13320, 292, 479, 2764, 26225, 16, 290, 2276, 21390, 16, 1381, 339, 11848, 359, 11265, 18, 1790, 16, 225, 88, 76, 73, 10136, 292, 225, 88, 76, 73, 5706, 9121, 2439, 291, 1583, 6280, 979, 449, 16, 359, 1380, 427, 652, 3855, 16, 1083, 286, 14072, 292, 225, 88, 76, 73, 32249, 16, 359, 225, 88, 76, 73, 2391, 346, 7139, 25177, 325, 698, 225, 88, 76, 73, 1358, 13306, 18, 203, 203, 6661, 225, 88, 76, 73, 2215, 413, 596, 8792, 811, 225, 88, 76, 73, 3408, 292, 1583, 13041, 16, 2613, 225, 88, 76, 73, 910, 1712, 318, 14306, 1273, 2012, 330, 292, 2229, 18, 2781, 1857, 291, 1583, 10526, 346, 24064, 277, 21390, 16, 396, 40906, 624, 5485, 11877, 296, 1553, 13, 780, 10973, 286, 46461, 286, 633, 45168, 396, 33300, 286, 12230, 633, 1528, 423, 961, 26777, 532, 388, 35242, 873, 290, 385, 12328, 431, 225, 88, 76, 73, 648, 48881, 1149, 292, 656, 622, 326, 476, 1844, 294, 420, 396, 6957, 15412, 286, 2371, 859, 9146, 21616, 2986, 225, 69, 2759, 982, 16, 2276, 225, 69, 3259, 16, 385, 9106, 18, 1078, 1953, 16, 660, 318, 786, 1514, 292, 654, 3497, 16648, 961, 2498, 1584, 10664, 16, 8925, 957, 594, 468, 16, 23458, 292, 7661, 2212, 957, 594, 468, 292, 15776, 341, 425, 16, 326, 24064, 277, 225, 88, 76, 73, 6402, 44862, 9589, 2212, 48027, 16, 596, 385, 12328, 291, 1583, 12886, 30, 8925, 957, 594, 468, 33983, 522, 1657, 286, 1422, 950, 225, 69, 1497, 21262, 18, 203, 203, 2856, 9141, 314, 203, 203, 2856, 225, 88, 76, 73, 2371, 292, 9141, 314, 291, 1958, 6834, 225, 88, 76, 73, 28650, 10802, 5161, 698, 617, 3187, 18, 409, 18681, 19592, 573, 13663, 633, 385, 291, 2639, 33100, 286, 6556, 10347, 342, 16, 290, 225, 88, 76, 73, 22601, 292, 3023, 292, 1958, 6788, 573, 4810, 225, 88, 76, 73, 23831, 17, 21159, 2446, 5674, 554, 6911, 30619, 326, 32249, 16, 359, 357, 882, 786, 2736, 339, 13941, 345, 2764, 26225, 643, 2778, 8007, 326, 225, 69, 23697, 5193, 1420, 18, 203, 203, 6910, 3988, 314, 3110, 357, 21856, 38617, 286, 1422, 522, 865, 300, 286, 225, 88, 76, 73, 3408, 292, 1958, 6788, 16, 573, 25234, 225, 88, 76, 73, 28650, 292, 1583, 13041, 16, 290, 359, 225, 69, 1873, 16, 225, 69, 1319, 292, 21390, 643, 1353, 286, 2371, 16, 292, 5334, 2613, 225, 88, 76, 73, 910, 1712, 318, 9589, 2212, 16237, 16, 225, 88, 76, 73, 2938, 431, 522, 884, 12707, 385, 9476, 286, 225, 88, 76, 73, 10843, 292, 21390, 18, 1238, 385, 225, 69, 5090, 22152, 292, 5096, 17, 34983, 18869, 4835, 431, 225, 88, 76, 73, 10206, 292, 225, 88, 76, 73, 10517, 48678, 38187, 291, 1958, 6257, 16, 517, 357, 3093, 286, 427, 8052, 3904, 1576, 431, 1958, 1996, 18, 5358, 33859, 16, 377, 334, 15152, 292, 34309, 16, 225, 88, 76, 73, 14484, 4429, 291, 225, 88, 76, 73, 2764, 2151, 423, 1958, 6834, 286, 1958, 1996, 16, 1152, 8761, 225, 88, 76, 73, 4841, 5624, 16, 517, 10582, 345, 458, 644, 3195, 903, 581, 39948, 225, 88, 76, 73, 28650, 292, 1583, 13041, 1584, 609, 21390, 16, 745, 292, 5334, 458, 2004, 643, 8344, 1796, 383, 2328, 18, 2938, 3988, 4034, 803, 713, 3351, 749, 16, 3902, 345, 458, 2004, 280, 4234, 433, 225, 69, 7927, 17663, 18, 203, 203, 18272, 2424, 677, 292, 1592, 292, 225, 88, 76, 73, 6402, 2215, 413, 326, 24064, 277, 21390, 22953, 819, 581, 1958, 2455, 18, 25251, 22627, 12335, 290, 715, 810, 292, 225, 88, 76, 73, 4304, 643, 15131, 27362, 286, 22048, 225, 88, 76, 73, 1690, 1584, 519, 6402, 22716, 16, 874, 291, 955, 48587, 3104, 359, 225, 88, 76, 73, 15941, 2892, 559, 5442, 10517, 350, 292, 10517, 350, 32985, 16, 332, 4628, 3073, 1540, 16, 596, 16, 291, 1958, 7928, 16, 2705, 225, 88, 76, 73, 1491, 43947, 12586, 2202, 345, 689, 76, 73, 644, 4325, 225, 69, 13208, 291, 15714, 46823, 526, 595, 16, 290, 703, 1209, 554, 915, 2656, 738, 36754, 9001, 959, 357, 6979, 286, 22048, 225, 88, 76, 73, 4554, 274, 22825, 1584, 225, 88, 76, 73, 6440, 4120, 30, 291, 1958, 2721, 225, 88, 76, 73, 715, 810, 292, 225, 88, 76, 73, 4304, 292, 2217, 753, 6120, 4238, 28485, 31540, 345, 1966, 286, 519, 864, 2672, 326, 7661, 5442, 1291, 457, 270, 468, 396, 23682, 225, 88, 76, 73, 377, 334, 15152, 292, 6038, 5327, 873, 544, 644, 14526, 17973, 7176, 292, 661, 308, 3601, 1584, 950, 290, 4129, 1592, 292, 522, 1201, 18, 203, 203, 3595, 21390, 643, 12328, 291, 225, 88, 76, 73, 2223, 1958, 1758, 17, 2455, 3021, 16, 770, 554, 385, 12328, 291, 225, 88, 76, 73, 2223, 1958, 3021, 17, 2455, 3475, 16, 290, 819, 225, 69, 5090, 22152, 292, 30431, 32249, 1154, 225, 88, 76, 73, 2764, 8087, 2446, 16, 770, 797, 543, 643, 12328, 1133, 1958, 6427, 290, 1958, 3456, 18, 203, 203, 521, 7233, 562, 38187, 1563, 203, 10776, 225, 88, 76, 73, 23360, 292, 6130, 3299, 16, 811, 225, 88, 76, 73, 36754, 5686, 292, 225, 69, 25460, 596, 385, 3544, 21008, 286, 225, 88, 76, 73, 6402, 9214, 16, 225, 88, 76, 73, 5425, 385, 2094, 286, 23479, 2809, 6133, 326, 479, 21390, 286, 2819, 3994, 16, 1342, 654, 18489, 345, 225, 88, 76, 73, 6133, 703, 339, 49366, 346, 18, 409, 28650, 292, 1583, 13041, 385, 11848, 359, 5895, 225, 69, 3830, 4964, 16, 1535, 225, 88, 76, 73, 15836, 292, 225, 88, 76, 73, 7233, 562, 38187, 291, 225, 88, 76, 73, 14728, 292, 1958, 7928, 3119, 286, 709, 8948, 22152, 18, 8035, 225, 88, 76, 73, 2938, 526, 1712, 6402, 4419, 902, 426, 16, 225, 88, 76, 73, 1502, 6783, 292, 29996, 567, 385, 955, 345, 458, 644, 786, 2947, 517, 286, 41810, 286, 8238, 10761, 292, 225, 88, 76, 73, 4554, 274, 22825, 18, 4837 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 225, 69, 980, 35400, 292, 452, 2636, 1958, 7928, 479, 21390, 643, 286, 339, 9859, 18, 1108, 643, 286, 339, 13010, 225, 88, 76, 73, 6456, 3303, 1477, 292, 10277, 286, 2819, 225, 88, 76, 73, 1868, 30, 3043, 16, 544, 643, 286, 339, 2404, 291, 6442, 689, 77, 82, 1374, 286, 519, 4972, 2656, 1099, 478, 18, 52, 18, 4784, 20818, 19127, 16, 803, 2176, 2204, 2824, 5292, 225, 69, 29371, 283, 533, 2472, 1584, 225, 88, 76, 73, 6402, 47629, 573, 3838, 326, 225, 88, 76, 73, 1358, 797, 806, 18, 2309, 1668, 596, 644, 652, 1376, 772, 32230, 2121, 291, 3994, 326, 5727, 8075, 1100, 2939, 6954, 225, 88, 76, 73, 2371, 12338, 18, 203, 203, 829, 6229, 16, 29559, 290, 6982, 21390, 643, 28291, 423, 225, 88, 76, 73, 28650, 16, 691, 544, 882, 984, 345, 519, 4933, 291, 3994, 385, 8958, 18, 3747, 1154, 225, 88, 76, 73, 7233, 562, 38187, 16, 225, 69, 1319, 292, 21390, 643, 49638, 325, 345, 2625, 16, 3851, 225, 88, 76, 73, 6982, 49475, 9589, 6130, 8121, 19269, 385, 12328, 291, 1958, 8950, 16, 5200, 522, 29591, 345, 383, 225, 88, 76, 73, 595, 292, 522, 6658, 458, 385, 7076, 754, 3994, 325, 522, 836, 286, 4409, 18, 1294, 6982, 13208, 1380, 568, 339, 1316, 286, 46461, 345, 458, 644, 4862, 225, 88, 76, 73, 4374, 3618, 575, 292, 1958, 10575, 16, 431, 573, 458, 3269, 522, 4218, 41904, 286, 225, 88, 76, 73, 2938, 16, 449, 225, 88, 76, 73, 14946, 18, 1783, 21390, 16, 1712, 359, 225, 88, 76, 73, 4374, 3618, 1251, 16, 643, 1736, 291, 4304, 874, 383, 225, 88, 76, 73, 6481, 292, 225, 88, 76, 73, 38187, 29996, 567, 18, 203, 203, 6910, 357, 385, 449, 17030, 225, 69, 14448, 811, 225, 88, 76, 73, 28650, 292, 1583, 13041, 16, 225, 69, 13208, 596, 882, 7912, 345, 458, 644, 2498, 225, 88, 76, 73, 453, 902, 292, 28869, 37438, 286, 225, 88, 76, 73, 13932, 385, 571, 3149, 30460, 9430, 286, 225, 69, 1026, 49318, 30, 6130, 25242, 16, 7300, 29858, 7545, 290, 37088, 10532, 643, 2196, 1059, 596, 6189, 32386, 345, 544, 644, 2498, 225, 88, 76, 73, 453, 902, 18, 4150, 225, 88, 76, 73, 38187, 4464, 326, 1163, 81, 1505, 643, 4176, 13079, 524, 292, 1032, 16, 517, 291, 225, 69, 1162, 3104, 16, 955, 359, 3906, 33636, 818, 290, 5169, 43402, 16, 225, 88, 76, 73, 11601, 385, 37253, 225, 88, 76, 73, 2371, 12338, 325, 225, 88, 76, 73, 9603, 292, 8017, 1367, 2184, 18, 3747, 225, 88, 76, 73, 1751, 604, 1440, 5096, 17, 34983, 5528, 6208, 8381, 7661, 5169, 1399, 306, 3585, 87, 6339, 292, 225, 88, 76, 73, 13932, 5203, 22129, 291, 955, 3104, 16, 291, 1374, 689, 344, 225, 88, 76, 73, 1004, 783, 449, 1335, 345, 408, 371, 5990, 45275, 484, 290, 291, 13565, 1780, 2656, 203, 203, 3595, 4375, 3605, 385, 959, 286, 30494, 47697, 677, 292, 225, 88, 76, 73, 2215, 413, 326, 24064, 277, 21390, 18, 409, 5425, 979, 2809, 797, 372, 1756, 321, 587, 25924, 225, 88, 76, 73, 1502, 345, 442, 385, 225, 69, 30851, 573, 291, 6229, 18772, 624, 21306, 286, 225, 88, 76, 73, 2371, 12338, 16, 517, 786, 2797, 385, 2498, 1584, 1059, 2759, 4063, 16, 664, 5442, 10517, 350, 16, 421, 599, 33739, 10604, 10996, 701, 16, 7661, 2212, 2027, 71, 1595, 290, 7661, 3988, 42754, 16, 377, 334, 33418, 16, 291, 4214, 5631, 21390, 643, 9859, 18, 203, 203, 27556, 17, 34983, 18869, 10802, 3904, 1576, 16, 543, 3554, 794, 291, 225, 88, 76, 73, 19853, 827, 798, 292, 225, 88, 76, 73, 21390, 596, 3904, 643, 35622, 545, 290, 13654, 1491, 7227, 18, 557, 2262, 1958, 8950, 225, 88, 76, 73, 2938, 7133, 279, 1374, 345, 479, 21390, 26516, 811, 225, 88, 76, 73, 28650, 292, 1583, 13041, 819, 832, 2262, 905, 339, 1026, 19783, 1535, 522, 2314, 459, 385, 1712, 18, 4784, 20818, 8407, 345, 225, 88, 76, 73, 5425, 383, 442, 1570, 2454, 644, 786, 2251, 670, 286, 502, 1358, 18, 557, 225, 88, 76, 73, 1465, 16, 225, 88, 76, 73, 1026, 49318, 326, 21390, 26516, 819, 345, 2777, 2154, 7428, 18, 738, 2375, 385, 1248, 2775, 286, 3450, 1059, 1850, 26516, 16, 290, 658, 225, 88, 76, 73, 2779, 292, 1958, 8950, 16, 5200, 17819, 1502, 17948, 611, 16, 383, 2070, 22677, 21390, 643, 12328, 388, 3904, 291, 6442, 18, 9411, 14981, 3838, 286, 268, 1780, 291, 1958, 3819, 30, 383, 2070, 2769, 543, 21390, 643, 42792, 811, 225, 88, 76, 73, 28650, 292, 1583, 13041, 16, 517, 357, 3093, 345, 479, 292, 624, 643, 49638, 388, 1026, 19783, 18, 203, 203, 2856, 225, 88, 76, 73, 38187, 203, 8897, 225, 88, 76, 73, 18743, 6402, 2938, 3988, 3299, 16, 479, 32249, 292, 26225, 22953, 1846, 291, 1958, 10721, 18, 332, 22152, 292, 5096, 17, 34983, 3371, 819, 225, 88, 76, 73, 3396, 281, 747, 10724, 292, 1958, 6280, 4835, 225, 88, 76, 73, 5425, 286, 1290, 554, 2243, 4554, 274, 3569, 16, 225, 88, 76, 73, 7233, 1663, 3408, 1958, 9527, 18, 738, 9039, 286, 7181, 225, 88, 76, 73, 28650, 292, 1583, 13041, 431, 3047, 345, 2978, 596, 3698, 50202, 225, 69, 6402, 13208, 905, 2834, 225, 69, 6533, 292, 4576, 4884, 30, 291, 1664, 16, 442, 385, 225, 69, 33753, 326, 14804, 21390, 18, 409, 21616, 292, 442, 11985, 385, 11356, 29083, 431, 11964, 8571, 16, 38454, 225, 88, 76, 73, 2371, 10574, 326, 21390, 286, 33619, 27133, 18, 203, 203, 1926, 318, 1308, 4840, 345, 225, 88, 76, 73, 1958, 9527, 3408, 385, 27427, 15380, 18, 4784, 20818, 8407, 345, 225, 88, 76, 73, 6911, 11040, 291, 4074, 292, 225, 88, 76, 73, 2764, 6402, 1504, 291, 225, 88, 76, 73, 38040, 3503, 385, 1966, 286, 2772, 18509, 16, 955, 359, 225, 88, 76, 73, 4452, 2171, 2666, 17658, 325, 26225, 291, 1958, 12721, 16, 2655, 720, 286, 46034, 32249, 18, 203, 203, 521, 991, 292, 225, 88, 76, 73, 4554, 274, 22825, 203, 521, 689, 70, 1936, 6, 15450, 292, 225, 88, 76, 73, 1958, 9527, 3408 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 643, 4983, 4400, 431, 225, 88, 76, 73, 724, 6402, 7400, 4369, 16, 225, 88, 76, 73, 13272, 1131, 3408, 1946, 7928, 18, 1790, 16, 225, 88, 76, 73, 1946, 7928, 3408, 3689, 225, 69, 22152, 292, 5096, 17, 34983, 6781, 573, 36864, 291, 225, 88, 76, 73, 12622, 13555, 1665, 292, 49367, 16, 291, 573, 6177, 292, 717, 3904, 18, 738, 8401, 783, 427, 14689, 2314, 7400, 5844, 16, 517, 431, 1946, 12979, 225, 88, 76, 73, 5425, 3110, 357, 2703, 286, 3579, 3497, 814, 225, 88, 76, 73, 6402, 47629, 18, 4837, 225, 88, 76, 73, 5250, 6402, 23114, 3408, 1946, 12979, 225, 88, 76, 73, 6443, 94, 7224, 593, 22825, 643, 4983, 4400, 16, 290, 357, 2154, 35705, 16, 3851, 811, 15380, 8522, 3189, 16, 286, 838, 359, 225, 69, 13208, 291, 3994, 290, 286, 6608, 5142, 18, 203, 203, 16324, 3696, 1715, 203, 521, 10843, 292, 225, 69, 6402, 13208, 811, 225, 88, 76, 73, 3408, 291, 1583, 12886, 2154, 225, 88, 76, 73, 3508, 292, 225, 69, 3696, 1715, 28909, 806, 1708, 18, 557, 7601, 225, 69, 3042, 5395, 286, 225, 88, 76, 73, 782, 293, 862, 3696, 291, 21446, 326, 225, 69, 6752, 396, 49700, 9443, 13, 286, 3385, 225, 69, 13927, 21200, 325, 225, 88, 76, 73, 3042, 3210, 16, 291, 4923, 292, 225, 88, 76, 73, 3830, 13208, 18, 3747, 1155, 225, 88, 76, 73, 1583, 13041, 3408, 644, 652, 4983, 4400, 941, 2376, 16, 225, 88, 76, 73, 13208, 526, 19314, 644, 449, 652, 608, 9822, 16, 290, 541, 225, 88, 76, 73, 3696, 882, 449, 9015, 357, 30, 203, 203, 829, 3486, 225, 88, 76, 73, 9656, 3246, 293, 862, 4368, 396, 16678, 2136, 658, 431, 225, 88, 76, 73, 1150, 8259, 13, 15087, 286, 1085, 345, 1715, 359, 225, 69, 34812, 16, 325, 225, 88, 76, 73, 9603, 345, 689, 344, 3196, 644, 6449, 286, 949, 2047, 292, 225, 88, 76, 73, 48711, 292, 2764, 28747, 290, 11229, 30607, 292, 225, 88, 76, 73, 43968, 7099, 291, 225, 88, 76, 73, 3536, 292, 3994, 526, 8449, 292, 12378, 18, 1099, 955, 225, 69, 48711, 385, 12875, 291, 279, 34630, 1310, 16, 357, 703, 427, 652, 29274, 449, 286, 9015, 48711, 292, 2608, 8487, 431, 225, 69, 13927, 1556, 203, 203, 3591, 568, 203, 2720, 47349, 291, 225, 88, 76, 73, 1851, 6248, 203, 25620, 3408, 1583, 3819, 203, 8737, 292, 225, 88, 76, 73, 7296, 16, 2674, 18, 3408, 1583, 13041, 396, 4219, 6443, 94, 18, 21, 16, 271, 18, 377, 13, 203, 4554, 274, 1690, 396, 12808, 13, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 6657, 375, 292, 225, 88, 76, 73, 8572, 292, 3994, 9129, 9214, 203, 2173, 13041, 291, 1690, 203, 2173, 13041, 291, 3994, 203, 18214, 998, 291, 3994, 203, 27556, 17, 34983, 1486, 291, 3994, 2, 0, 35869, 4488, 45237, 225, 318, 225, 69, 7797, 292, 45237, 2307, 16, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 42, 9201, 4488, 225, 318, 225, 69, 7797, 292, 45237, 2307, 16, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 17577, 27590, 7646, 4488, 16, 45237, 225, 318, 225, 69, 7797, 292, 45237, 2307, 16, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 41024, 18572, 396, 5616, 19330, 393, 611, 16, 1383, 42, 13, 318, 225, 69, 28365, 1434, 225, 88, 76, 73, 9170, 4771, 396, 12613, 873, 225, 69, 3506, 2839, 291, 5963, 18, 203, 203, 521, 1565, 292, 225, 88, 76, 73, 28365, 385, 5904, 286, 5095, 225, 88, 76, 73, 631, 3232, 292, 1736, 17, 13442, 26225, 291, 5224, 7676, 16, 225, 88, 76, 73, 724, 1220, 961, 1434, 225, 88, 76, 73, 5224, 4433, 526, 4771, 396, 31825, 1180, 32795, 873, 225, 88, 76, 73, 4570, 26836, 396, 30275, 1180, 16810, 13, 290, 225, 88, 76, 73, 5224, 4433, 526, 4771, 9450, 16, 290, 225, 88, 76, 73, 5837, 225, 88, 76, 73, 1474, 554, 16, 346, 225, 88, 76, 73, 9170, 4771, 16, 225, 69, 2839, 291, 573, 26225, 371, 225, 69, 15345, 18, 738, 6652, 16, 3060, 286, 225, 88, 76, 73, 28365, 526, 1622, 16, 1698, 346, 225, 88, 76, 73, 6085, 292, 26836, 318, 14045, 696, 409, 30290, 396, 28022, 873, 345, 1353, 1511, 19640, 87, 346, 717, 2563, 423, 1046, 3506, 11171, 18, 203, 203, 521, 38774, 292, 225, 88, 76, 73, 1736, 17, 13442, 292, 225, 88, 76, 73, 2775, 4570, 26836, 290, 1708, 225, 88, 76, 73, 5224, 4433, 526, 4771, 396, 16810, 1180, 13452, 873, 225, 69, 4570, 17, 45686, 1944, 2839, 292, 225, 88, 76, 73, 4570, 1736, 16, 6331, 2939, 1434, 29927, 359, 409, 19640, 87, 18, 12485, 5725, 290, 3868, 225, 88, 76, 73, 19640, 87, 16, 3119, 431, 25472, 1104, 6577, 290, 33168, 9909, 83, 1466, 351, 5354, 16, 1434, 29927, 18, 557, 225, 88, 76, 73, 3868, 9170, 4771, 4218, 5028, 1060, 11617, 19640, 87, 643, 6413, 286, 225, 88, 76, 73, 2839, 43002, 300, 8793, 18, 203, 203, 1624, 225, 88, 76, 73, 19640, 87, 6449, 286, 942, 225, 69, 2078, 2625, 291, 225, 88, 76, 73, 631, 2839, 16, 544, 6971, 291, 1046, 3074, 18, 409, 11316, 292, 225, 88, 76, 73, 28365, 396, 39187, 2166, 16, 389, 5340, 17862, 30069, 16, 40139, 393, 1409, 9267, 16, 9917, 5737, 17556, 83, 290, 10604, 2473, 7992, 6399, 356, 1724, 2018, 13, 5350, 13475, 14434, 343, 9267, 359, 4467, 292, 225, 88, 76, 73, 2839, 18, 6340, 93, 361, 36095, 290, 2433, 39415, 3783, 4395, 5583, 1584, 14434, 343, 9267, 290, 917, 527, 519, 33849, 16, 13360, 15299, 290, 12630, 3693, 9450, 18, 6480, 3173, 2260, 16, 33168, 9909, 83, 1466, 351, 5354, 16, 11138, 225, 88, 76, 73, 17231 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 658, 42988, 346, 14434, 343, 9267, 291, 1846, 3486, 18, 409, 6981, 292, 409, 19640, 87, 286, 339, 225, 69, 15327, 28365, 3119, 393, 1409, 9267, 16, 17862, 30069, 290, 17556, 83, 16, 12680, 431, 1104, 6577, 16, 286, 917, 20272, 18572, 18, 203, 203, 1624, 292, 2494, 3384, 225, 88, 76, 73, 3084, 292, 225, 88, 76, 73, 631, 28365, 385, 3500, 30, 9917, 5737, 48068, 298, 11733, 385, 6413, 4115, 292, 225, 88, 76, 73, 28365, 16, 573, 14175, 2340, 5000, 20224, 19463, 18, 1790, 568, 17862, 30069, 290, 393, 1409, 9267, 16, 596, 318, 225, 88, 76, 73, 1229, 4467, 292, 225, 88, 76, 73, 1275, 290, 225, 88, 76, 73, 21460, 292, 1104, 6577, 16, 644, 519, 7639, 16, 225, 88, 76, 73, 724, 961, 225, 69, 10536, 20966, 292, 13475, 14434, 343, 9267, 290, 225, 88, 76, 73, 1361, 543, 3357, 291, 49914, 2677, 4570, 13360, 290, 26225, 291, 2639, 1434, 225, 88, 76, 73, 2839, 16, 1315, 225, 88, 76, 73, 2228, 391, 1561, 16, 225, 88, 76, 73, 29296, 1131, 16, 225, 88, 76, 73, 9855, 292, 361, 36095, 16, 225, 88, 76, 73, 3783, 88, 30653, 290, 225, 88, 76, 73, 5049, 13333, 18, 203, 203, 2856, 225, 88, 76, 73, 23404, 292, 14434, 343, 9267, 359, 2839, 13324, 290, 709, 7276, 346, 17862, 30069, 16, 20272, 18572, 7208, 286, 1118, 17862, 30069, 291, 225, 88, 76, 73, 3384, 9170, 4771, 4749, 5028, 18, 17862, 30069, 2970, 286, 10604, 42323, 361, 366, 3166, 517, 225, 88, 76, 73, 19640, 87, 292, 20272, 18572, 16, 596, 33765, 581, 225, 88, 76, 73, 4099, 9, 292, 225, 88, 76, 73, 1592, 6413, 286, 225, 88, 76, 73, 2839, 526, 2763, 10336, 431, 225, 88, 76, 73, 17862, 30069, 1241, 16, 643, 449, 10987, 286, 27378, 361, 366, 3166, 16, 1027, 17862, 30069, 385, 543, 4800, 983, 18, 1108, 2375, 3989, 7649, 11707, 16, 225, 88, 76, 73, 15327, 15345, 28365, 3119, 431, 17862, 30069, 18, 203, 203, 18812, 3557, 19055, 968, 291, 3283, 2987, 650, 17862, 30069, 1698, 286, 307, 17, 16441, 579, 346, 361, 366, 3166, 290, 393, 1409, 9267, 2154, 823, 4293, 292, 225, 88, 76, 73, 2839, 526, 3506, 1695, 3043, 18, 1605, 14434, 343, 9267, 6331, 225, 69, 689, 37211, 433, 6, 2573, 9170, 7649, 16, 357, 385, 3989, 431, 393, 1409, 9267, 290, 5742, 19640, 87, 1060, 950, 18, 738, 4835, 225, 69, 6971, 1133, 442, 1275, 290, 225, 88, 76, 73, 19640, 87, 8344, 286, 17862, 30069, 18, 409, 1924, 292, 20272, 18572, 16, 573, 318, 2375, 291, 225, 88, 76, 73, 2988, 292, 393, 1409, 9267, 16, 318, 4722, 18141, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 41024, 18572, 203, 203, 39226, 4771, 396, 31316, 13, 33849, 2, 0, 41430, 23962, 8221, 318, 225, 69, 5407, 325, 225, 88, 76, 73, 46785, 19, 4139, 33929, 7164, 291, 3994, 16, 1689, 225, 88, 76, 73, 2364, 292, 17920, 734, 18, 601, 6258, 44328, 14878, 16, 1315, 225, 88, 76, 73, 1638, 25513, 292, 2720, 5630, 4991, 4760, 16, 8882, 286, 1913, 203, 203, 6355, 203, 41430, 23962, 8221, 385, 279, 6306, 10147, 5407, 16, 2608, 286, 2172, 1315, 361, 2054, 341, 8599, 18, 5502, 286, 37749, 3994, 16, 357, 318, 225, 69, 48612, 292, 225, 88, 76, 73, 6306, 41715, 10147, 12992, 292, 44858, 4233, 16, 25075, 15296, 290, 16461, 32314, 18, 4374, 1438, 292, 442, 1866, 752, 1098, 5269, 2503, 11, 1706, 225, 69, 12005, 32427, 345, 385, 5890, 431, 4014, 1104, 4388, 40111, 16, 596, 644, 10849, 35335, 15146, 383, 33863, 3599, 290, 17920, 734, 18, 409, 1565, 292, 225, 88, 76, 73, 5407, 32821, 423, 225, 88, 76, 73, 12223, 355, 366, 16, 596, 643, 1104, 4388, 40111, 18, 203, 203, 19882, 2084, 2626, 823, 1367, 1931, 19912, 290, 400, 1707, 8154, 968, 431, 225, 88, 76, 73, 4831, 629, 8428, 2372, 806, 2376, 18, 203, 203, 13403, 203, 41430, 23962, 8221, 318, 2558, 325, 225, 88, 76, 73, 6820, 15868, 292, 46785, 290, 2894, 33929, 16, 291, 225, 88, 76, 73, 2699, 27825, 3442, 292, 3994, 18, 409, 9501, 17461, 318, 30, 11977, 40756, 27, 1878, 16, 357, 318, 1689, 225, 88, 76, 73, 2364, 292, 17920, 734, 16, 573, 318, 325, 225, 88, 76, 73, 332, 5932, 2441, 18, 203, 203, 27801, 203, 41430, 23962, 8221, 504, 6342, 5407, 5306, 16, 346, 3151, 17, 711, 17, 36984, 1598, 3265, 290, 225, 69, 5352, 15374, 5140, 18, 601, 318, 568, 291, 225, 69, 44328, 641, 292, 3994, 16, 3769, 357, 504, 225, 69, 15335, 5306, 18, 203, 203, 7310, 1253, 203, 521, 1931, 19912, 290, 400, 1707, 292, 12223, 23962, 8221, 371, 1060, 8428, 2372, 806, 1367, 16, 1482, 624, 2806, 225, 88, 76, 73, 5086, 45770, 19, 31492, 440, 4633, 2184, 18, 35526, 4658, 371, 2078, 291, 225, 88, 76, 73, 12223, 23962, 8221, 16, 2276, 47208, 16, 439, 299, 768, 2526, 290, 20599, 18, 738, 11130, 345, 383, 554, 595, 225, 88, 76, 73, 1389, 292, 12223, 23962, 8221, 385, 19669, 18, 203, 203, 46560, 203, 41430, 23962, 8221, 318, 5890, 431, 37749, 3994, 16, 573, 504, 1772, 225, 69, 1319, 292, 1228, 286, 10535, 11664, 16, 1315, 225, 69, 1622, 16, 20074, 16, 225, 16936, 6558, 16, 936, 10168, 16, 290, 16248, 524, 5179, 6374, 326, 1046, 7090, 8647, 18, 203, 203, 9937, 24230, 6465, 5557, 10919, 9609, 754, 16, 509, 5557, 1133, 17920, 734, 290, 1254, 3096, 2667, 18, 3728, 7076, 754, 225, 88, 76, 73, 1389, 318, 225, 88, 76, 73, 12223, 23962, 9205, 16, 225, 69, 941, 17, 24218, 43627, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 37749, 3994, 526, 2111, 325, 409, 12223, 23962, 8221, 203, 203, 16715, 11077, 290, 45815, 292, 46785, 203, 16715, 11077, 290, 45815, 292, 2894, 33929, 203, 48, 457, 734, 2, 0, 12175, 4488, 396, 50, 9385, 22725, 13, 225, 318, 225, 69, 7797, 292, 3388, 35792, 562, 2307, 16, 16486, 22725, 16, 3522, 18, 601, 318, 13059, 431, 225, 88, 76, 73, 2217, 4488, 6102, 290, 34573, 698, 4426, 526, 4254, 291, 225, 88, 76, 73, 10024, 9416, 18, 203, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 4327, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 10371, 4488, 16, 3388, 35792, 562, 225, 318, 225, 69, 7797, 292, 3388, 35792, 562, 2307, 16, 291, 225, 88, 76, 73, 3620, 292, 16486, 22725, 16, 3522, 18, 4992, 524, 5820, 318, 2152, 698, 225, 88, 76, 73, 8399, 8713, 27282, 225, 88, 76, 73, 21096, 423, 10423, 44254, 4404, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 521, 1397, 1618, 272, 2049, 9412, 1695, 396, 12144, 1712, 359, 225, 88, 76, 73, 14865, 20717, 9412, 1695, 13, 318, 225, 69, 617, 3759, 8030, 9412, 291, 2027, 3551, 13294, 16, 3610, 18, 409, 724, 3512, 3909, 291, 25549, 16, 225, 88, 76, 73, 1695, 385, 3500, 291, 25536, 290, 8001, 359, 225, 69, 13294, 5425, 30714, 396, 53, 12251, 13, 1695, 1535, 7196, 396, 16721, 7396, 1310, 22953, 291, 13356, 859, 332, 9253, 5185, 385, 17780, 326, 225, 69, 1700, 2223, 291, 5452, 18, 409, 1594, 1828, 1428, 9412, 1695, 4737, 383, 20717, 9062, 1133, 18196, 290, 14417, 16, 290, 225, 88, 76, 73, 1397, 1618, 272, 2049, 37271, 35276, 1530, 4737, 346, 225, 88, 76, 73, 11080, 1133, 21797, 290, 12896, 18, 332, 2621, 385, 17780, 291, 2987, 431, 225, 88, 76, 73, 13294, 2151, 9129, 225, 69, 2778, 34309, 17, 273, 17, 3111, 1618, 272, 2049, 5036, 22401, 359, 225, 69, 941, 17, 4690, 2778, 8980, 18, 203, 203, 34673, 225, 203, 521, 12332, 3059, 36621, 964, 264, 17, 7124, 1695, 21767, 383, 4764, 593, 567, 9412, 3505, 9069, 225, 3686, 292, 17148, 18, 601, 10907, 706, 225, 88, 76, 73, 29251, 23711, 7479, 383, 225, 69, 34258, 21714, 3856, 3686, 292, 4764, 593, 567, 3505, 9069, 857, 27435, 4176, 3686, 17, 5448, 286, 5857, 1571, 41981, 290, 857, 4176, 3686, 286, 709, 32209, 383, 1397, 1618, 272, 2049, 16, 325, 225, 88, 76, 73, 1737, 5557, 18, 203, 203, 6355, 203, 829, 29501, 16, 225, 69, 1695, 385, 6624, 423, 374, 301, 335, 286, 20717, 9062, 16, 1397, 1618, 272, 2049, 290, 12805, 306, 477, 410, 18, 332, 4972, 5949, 385, 2498, 1060, 26964, 346, 225, 88, 76, 73, 5557, 41350, 423, 4366, 1069, 18, 738, 1695, 6624, 377, 17, 77, 82, 17, 1878, 43885, 23, 18, 23, 10827, 12579, 16, 225, 88, 76, 73, 11446, 386, 325, 225, 88, 76, 73, 1383, 12251, 1056, 383, 225, 88, 76, 73, 595, 16, 359, 761, 359, 12569, 225, 69, 6640, 658, 225, 88, 76, 73, 20717, 3703, 18, 203, 203, 521, 1695, 359, 2387, 21767, 383, 4764, 593, 567, 325, 225, 88, 76, 73, 29251, 23711, 9412, 1695, 16, 3686, 292, 225, 88, 76, 73, 20717, 3703, 290, 644, 225, 88, 76, 73, 4248, 292, 961, 225, 69, 11564, 5061, 292, 631, 3344, 18, 409, 3512, 423, 4764, 593, 567, 286, 20717, 9062, 385, 3909, 325, 2967, 2427, 25549, 16, 346, 225, 88, 76, 73, 20717, 9062, 286, 1397, 1618, 272, 2049, 3512, 3909, 325, 1958, 1589, 25536, 18, 203, 203, 32523, 11481, 643, 1866, 44787, 11, 396, 77, 18, 73, 18, 12537, 292, 1119, 11708, 48188, 290, 6148, 40342, 13, 1535, 17003, 16, 423, 650, 11708, 1382, 1013, 5036, 18171, 18, 203, 203, 8276, 292, 225, 88, 76, 73, 11708, 1382, 15087, 346, 225, 88, 76, 73, 3923, 9632, 292, 4834, 1737, 2107, 2446, 3299, 16, 3173, 286, 225, 88, 76, 73, 26565, 292, 225, 88, 76, 73, 11708, 1382, 291, 13356, 18, 1790, 225, 88, 76, 73, 1397, 1618, 272, 2049, 475, 9153, 347, 290, 225, 88, 76, 73, 14204, 8741, 3838, 286, 787, 225, 88, 76, 73, 16006, 1382, 325, 225, 88, 76, 73, 1695, 1535, 16006, 1382, 28369, 325, 452, 1589, 7196, 18, 203, 203, 521, 1695, 385, 23948, 1535, 1397, 1618, 272, 2049, 9412, 15864, 7484, 279, 5070, 5425, 5093, 286, 3847, 1397, 1618, 272, 2049, 7030, 286, 6691, 225, 88, 76, 73, 1695, 359, 225, 69, 9253, 10912, 1310, 18, 203, 203, 3111, 1618, 272, 2049, 7030, 203, 829, 5755, 16, 225, 69, 5093, 2758, 431, 225, 88, 76, 73, 5620, 2151, 385, 2123, 286, 225, 69, 1491, 1275, 292, 1397, 1618, 272, 2049, 717, 596, 16521, 359, 1397, 1618, 272, 2049, 7030, 396, 13427, 859, 409, 1275, 917, 581, 17090, 10132, 4146, 290, 25556, 18, 409, 1695, 385, 16033, 286, 331, 2419, 787, 18, 1605, 1383, 12251, 1382, 1146, 8001, 325, 225, 88, 76, 73, 1397, 1618, 272, 2049, 16200, 16, 770, 27002, 2173, 526, 16, 361, 2721, 526, 16, 361, 2173, 526, 290, 4099, 88, 10357, 1067, 643, 1013, 18, 557, 1374, 326, 1397, 1618, 272, 2049, 7030, 286, 23140, 10404, 1382, 325, 225, 88, 76, 73, 1695, 16, 544, 2318, 286, 8870, 519, 2414, 286, 3501, 225, 88, 76, 73, 3137, 292, 519, 331, 2419, 18, 409, 724, 1397, 1618, 272, 2049, 5036, 1310, 385, 2404, 325, 1124, 2698, 5725, 346, 225, 69, 1177, 423, 1397, 1618, 272, 2049, 286, 20717, 9062, 290, 2877, 18, 1507, 1188, 2209, 5452, 16, 1397, 1618, 272, 2049, 7030, 21767, 10404, 17, 41048, 282, 1382, 18, 1397, 1618, 272, 2049, 7030, 526, 10404, 29550, 385, 279, 403, 17, 53, 54, 331, 2419, 1970, 10266, 27, 18, 20941, 431, 7018, 366, 11763, 291, 4210, 13422, 16, 1260, 12125, 385, 291, 1310, 326, 591, 806, 981, 961, 4265, 291, 225, 69, 2711, 383, 2259, 508, 1428, 18, 557, 9644, 16, 225, 88, 76, 73, 421, 593, 9412, 5287, 1260, 12125, 359, 225, 69, 8570, 3637, 18, 557, 4597, 16, 1260, 12125, 385, 5996, 290, 2441, 17, 41048, 282, 286, 1397, 1618, 272, 2049, 18, 1397, 1618, 272, 2049, 5036, 857, 21767, 1382, 286, 4764, 593, 567, 325, 832, 2355, 5452, 18, 409, 1172, 1310, 286, 4764, 593, 567, 1837, 1128, 325, 3436, 2262, 5452, 18, 1507, 345, 2777, 16, 1397, 1618, 272, 2049, 7030, 526, 403, 17, 11525, 89, 4254, 16203, 15513, 25, 5290, 10554, 581, 225, 3686, 292, 4764, 593, 567, 16, 1133, 225, 88, 76, 73, 30267, 7900, 4085, 290, 12181 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 323, 3568, 1398, 38555, 18, 1397, 1618, 272, 2049, 5036, 3731, 2772, 2579, 290, 225, 88, 76, 73, 1275, 32445, 291, 4589, 18, 557, 4109, 16, 225, 88, 76, 73, 43059, 27085, 11583, 7808, 225, 88, 76, 73, 2677, 1397, 1618, 272, 2049, 7030, 48188, 326, 787, 325, 519, 4995, 13361, 1056, 18, 203, 203, 7969, 1438, 203, 27926, 225, 88, 76, 73, 2414, 504, 449, 652, 19451, 5674, 16, 798, 1398, 38555, 427, 652, 5674, 290, 23077, 658, 18, 409, 22401, 318, 48052, 290, 798, 8250, 371, 35103, 326, 20209, 30548, 18, 1456, 20717, 9062, 16, 770, 225, 88, 76, 73, 2517, 4819, 290, 318, 4434, 346, 3017, 16, 225, 88, 76, 73, 3505, 1389, 318, 9553, 288, 762, 290, 26814, 427, 21903, 18, 1456, 225, 88, 76, 73, 44219, 774, 316, 2475, 281, 622, 2441, 12407, 225, 88, 76, 73, 12110, 290, 20074, 427, 3077, 652, 5674, 819, 14704, 15721, 18, 1456, 5857, 1571, 41981, 16, 479, 345, 4819, 318, 225, 88, 76, 73, 2414, 18, 1294, 5430, 286, 4844, 225, 88, 76, 73, 3512, 292, 1695, 1036, 385, 959, 16, 517, 449, 3500, 18, 1456, 1397, 1618, 272, 2049, 225, 88, 76, 73, 3505, 1848, 16, 1257, 10157, 1449, 290, 225, 88, 76, 73, 3602, 292, 225, 88, 76, 73, 6148, 12233, 4819, 18, 31429, 3686, 292, 225, 88, 76, 73, 3505, 1848, 16, 225, 88, 76, 73, 1695, 504, 652, 4434, 346, 9976, 290, 318, 915, 225, 69, 936, 2711, 18, 1790, 16, 225, 88, 76, 73, 3505, 1848, 504, 652, 1026, 15968, 290, 225, 69, 631, 3505, 1565, 3136, 5515, 18, 203, 203, 24819, 7340, 34309, 774, 1397, 1618, 272, 2049, 1695, 203, 829, 2987, 225, 69, 13294, 5425, 2621, 6624, 225, 69, 631, 11708, 5036, 1695, 286, 1397, 1618, 272, 2049, 38155, 396, 387, 8595, 15050, 779, 290, 2258, 4326, 13, 225, 88, 76, 73, 10906, 15518, 1695, 423, 34309, 286, 556, 18551, 89, 16, 857, 225, 69, 631, 15273, 286, 5927, 272, 10594, 16, 827, 225, 88, 76, 73, 2243, 9572, 29, 3059, 7748, 2536, 15273, 286, 1397, 1618, 272, 2049, 703, 339, 35103, 18, 203, 203, 829, 2636, 2153, 225, 88, 76, 73, 13294, 5425, 290, 5070, 5425, 6672, 286, 1938, 225, 69, 1175, 1537, 49, 932, 1715, 286, 11940, 3344, 292, 797, 2258, 1632, 7476, 17, 75, 13305, 11708, 6374, 423, 34309, 286, 1397, 1618, 272, 2049, 290, 797, 10906, 17, 75, 13305, 16006, 6374, 1133, 2452, 29405, 14600, 290, 556, 18551, 89, 16, 225, 69, 22401, 573, 318, 961, 6624, 326, 225, 88, 76, 73, 43671, 7030, 1512, 18, 203, 203, 3591, 568, 203, 203, 18177, 3766, 291, 13294, 203, 203, 1987, 203, 203, 3257, 2477, 24405, 203, 23224, 3882, 3909, 291, 25536, 203, 46627, 9412, 3882, 291, 13294, 203, 10213, 261, 2086, 203, 23, 13521, 1025, 291, 15518, 32758, 291, 3610, 203, 45425, 9011, 291, 3610, 203, 4564, 18520, 32559, 10236, 203, 16117, 34583, 291, 3610, 203, 23224, 3882, 4595, 291, 7196, 203, 12891, 9011, 291, 3610, 203, 12353, 34583, 291, 3610, 2, 0, 2346, 3408, 1584, 225, 88, 76, 73, 5486, 291, 290, 5283, 291, 10843, 292, 37037, 19411, 388, 8853, 290, 609, 39469, 28787, 1228, 423, 225, 88, 76, 73, 5750, 292, 9269, 16, 568, 1712, 359, 27586, 16, 2674, 2562, 423, 9269, 3408, 1583, 10575, 16, 396, 2721, 6443, 94, 18, 377, 16, 271, 18, 384, 13, 385, 279, 3408, 292, 225, 88, 76, 73, 8572, 292, 3994, 1154, 225, 88, 76, 73, 2764, 43968, 18, 409, 3408, 30577, 346, 864, 47349, 1059, 596, 3179, 18030, 274, 37037, 290, 5250, 6402, 21390, 290, 519, 28639, 18, 738, 3408, 385, 225, 69, 3918, 286, 14946, 47592, 603, 526, 2534, 82, 555, 291, 19426, 1067, 293, 18, 203, 203, 12317, 3086, 225, 88, 76, 73, 3408, 22953, 286, 339, 225, 69, 7284, 291, 35355, 16, 517, 6497, 33367, 1535, 225, 88, 76, 73, 3408, 385, 4983, 4400, 18, 203, 203, 829, 18620, 16, 14946, 47592, 2128, 1281, 15589, 2741, 19832, 13198, 415, 423, 225, 88, 76, 73, 6402, 3536, 18, 409, 6320, 4001, 325, 442, 1281, 33070, 290, 2765, 279, 2764, 3162, 10143, 292, 225, 88, 76, 73, 8131, 3162, 3235, 573, 4184, 13198, 415, 16, 2196, 609, 1228, 16, 359, 225, 69, 689, 84, 15732, 83, 17, 19681, 2656, 13198, 415, 526, 8385, 13941, 16, 291, 225, 88, 76, 73, 19101, 4972, 13198, 415, 414, 18, 689, 521, 6320, 6, 15837, 1773, 2562, 8423, 2562, 345, 8491, 292, 225, 88, 76, 73, 1281, 33070, 431, 409, 6320, 291, 2764, 385, 864, 47349, 811, 442, 1690, 18, 409, 4972, 385, 16, 3060, 286, 225, 69, 17704, 2983, 291, 409, 41163, 16, 225, 88, 76, 73, 1172, 595, 442, 10280, 385, 46210, 290, 225, 88, 76, 73, 8259, 16, 6130, 37422, 16, 377, 334, 15419, 37422, 16, 689, 14883, 345, 357, 385, 449, 33367, 286, 9969, 225, 69, 13272, 274, 11839, 291, 225, 69, 8450, 2454, 326, 225, 88, 76, 73, 1216, 292, 225, 88, 76, 73, 1502, 1556, 203, 203, 9824, 203, 203, 3257, 2477, 203, 21629, 292, 225, 88, 76, 73, 3408, 16, 5897, 1553, 11333, 1675, 16, 409, 7266, 1774, 383, 15411, 16, 1946, 12691, 16, 2103, 18, 1025, 16, 12357, 18, 3059, 3021, 27, 396, 8494, 3549, 3949, 9273, 13, 203, 203, 6657, 375, 292, 225, 88, 76, 73, 8572, 292, 3994, 9129, 9214, 203, 2173, 10575, 291, 1690, 203, 2173, 10575, 291, 3994, 203, 46118, 274, 37037, 2, 0, 47329, 689, 50, 1672, 6, 16301, 2049, 396, 3640, 2355, 1124, 16, 8587, 13, 318, 279, 1644, 2677, 1968, 9780, 2946, 596, 2533, 359, 225, 69, 26002, 18, 731, 2533, 291, 225, 88, 76, 73, 2217, 1644, 16756, 3556, 1133, 11124, 290, 10858, 326, 225, 88, 76, 73, 9573, 332, 5153, 18, 1728, 3198, 5075, 318, 568, 225, 69, 1968, 12796, 18, 203, 203, 59, 277, 2049, 5801, 10889, 12000, 3049, 827, 458, 2533, 9780, 423, 11153, 286, 11262, 18, 731, 857, 2533, 326, 225, 88, 76, 73, 9573, 332, 5153, 292, 225, 88, 76, 73, 2217, 1644, 16756, 3556, 423, 11124, 286, 10858, 18, 557, 10687, 16, 458, 2533, 326, 225, 88, 76, 73, 1063, 2229, 23793, 292 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 225, 88, 76, 73, 1644, 16756, 3556, 18, 203, 203, 50, 1672, 318, 225, 88, 76, 73, 3223, 292, 5075, 16301, 2049, 596, 2533, 359, 225, 69, 19934, 326, 5710, 13722, 4488, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 11590, 48, 2269, 17571, 203, 203, 4387, 9780, 1865, 203, 4387, 16756, 3556, 396, 31070, 1180, 20345, 13, 1865, 203, 43847, 12000, 25709, 1673, 526, 9780, 1865, 203, 3532, 2229, 23793, 1865, 203, 12175, 1644, 16756, 3556, 396, 23181, 1180, 19712, 13, 1865, 203, 40774, 332, 5153, 1865, 203, 21009, 4686, 203, 6004, 717, 203, 15684, 2746, 2717, 23408, 2, 0, 12392, 6333, 11674, 4083, 675, 16, 7169, 1712, 359, 1731, 12003, 16, 318, 225, 69, 3860, 292, 23602, 3068, 345, 318, 23394, 286, 10054, 3610, 18, 601, 318, 225, 69, 5427, 17, 10045, 286, 7095, 34242, 4435, 346, 7476, 32924, 16802, 286, 1327, 7124, 4878, 290, 2899, 4312, 292, 2660, 5879, 325, 225, 88, 76, 73, 6352, 292, 8030, 5908, 16, 3938, 431, 36227, 1731, 21013, 18, 203, 203, 10683, 225, 203, 12392, 6333, 11674, 4083, 675, 318, 225, 69, 4435, 345, 4887, 11166, 286, 225, 69, 6481, 292, 527, 286, 225, 346, 225, 69, 294, 45898, 292, 527, 286, 1913, 601, 504, 225, 69, 4830, 16, 3780, 16, 10806, 562, 388, 278, 6201, 17, 41296, 18737, 345, 318, 18943, 3723, 383, 225, 88, 76, 73, 3039, 292, 4438, 24091, 18, 409, 4878, 371, 10538, 291, 7895, 13528, 16, 7476, 32924, 16802, 286, 1327, 7124, 16, 225, 941, 290, 225, 2874, 325, 225, 69, 36363, 3924, 989, 296, 225, 941, 18, 409, 6440, 4017, 292, 225, 88, 76, 73, 4878, 318, 27542, 3387, 290, 225, 88, 76, 73, 3151, 4017, 318, 4843, 262, 346, 225, 69, 4895, 3283, 17, 26727, 18, 409, 5879, 371, 33165, 291, 2899, 4312, 325, 225, 88, 76, 73, 6352, 292, 8030, 5908, 16, 225, 88, 76, 73, 2899, 4312, 11564, 720, 225, 88, 76, 73, 4878, 18, 409, 2176, 39247, 886, 371, 39211, 383, 225, 88, 76, 73, 3039, 12475, 225, 69, 12977, 17, 13644, 15381, 4090, 581, 225, 291, 12743, 346, 16146, 20346, 272, 18, 409, 2176, 29198, 371, 2660, 16, 543, 388, 1490, 1327, 7124, 290, 225, 941, 346, 19126, 11056, 18, 10288, 1675, 8277, 423, 2636, 286, 2698, 290, 225, 88, 76, 73, 5714, 318, 225, 69, 3411, 8325, 286, 1731, 16, 36227, 286, 25704, 33548, 16, 225, 941, 16, 225, 291, 12743, 9204, 225, 69, 2013, 7966, 9308, 431, 2660, 16937, 18, 203, 203, 35855, 203, 9103, 12003, 385, 724, 16364, 4184, 291, 25892, 431, 6130, 11467, 291, 44532, 292, 225, 88, 76, 73, 9574, 290, 12834, 10709, 292, 1063, 2027, 8184, 16, 17167, 291, 225, 88, 76, 73, 1925, 292, 4950, 431, 225, 88, 76, 73, 3211, 19107, 32887, 290, 385, 2123, 225, 88, 76, 73, 1565, 428, 303, 285, 6446, 4083, 675, 423, 279, 43083, 7535, 431, 31556, 12299, 39385, 18, 557, 8973, 16, 12622, 363, 18, 13889, 615, 290, 16939, 5126, 944, 3716, 225, 88, 76, 73, 1565, 286, 2452, 4063, 69, 4083, 675, 291, 225, 88, 76, 73, 4272, 39385, 567, 16, 225, 69, 1565, 345, 318, 6241, 431, 225, 88, 76, 73, 2090, 2325, 7283, 1795, 292, 1063, 2027, 8184, 18, 203, 203, 829, 4109, 16, 46490, 1473, 2525, 3073, 290, 9317, 640, 3809, 361, 47921, 3716, 11467, 526, 1565, 428, 303, 285, 6446, 4083, 675, 286, 2120, 6333, 11674, 4083, 675, 291, 225, 88, 76, 73, 4272, 1450, 2560, 69, 16, 225, 88, 76, 73, 1565, 6241, 431, 225, 88, 76, 73, 5070, 12034, 18370, 203, 203, 28862, 290, 13764, 203, 9103, 12003, 11166, 325, 26007, 6559, 423, 1689, 18321, 537, 694, 291, 3686, 10054, 13294, 286, 10617, 291, 7716, 1063, 2027, 8184, 18, 203, 203, 29979, 1253, 203, 40040, 2194, 5369, 225, 88, 76, 73, 5714, 292, 442, 3860, 1706, 268, 18012, 3447, 5714, 35940, 16, 3387, 3632, 11377, 16, 10054, 20802, 5284, 16, 283, 920, 1097, 37577, 518, 290, 1174, 79, 2063, 39457, 18, 203, 203, 8276, 291, 50232, 203, 26310, 14110, 318, 13331, 431, 10384, 225, 88, 76, 73, 7966, 423, 225, 88, 76, 73, 16937, 16, 290, 28886, 326, 225, 69, 927, 388, 797, 286, 6719, 654, 18981, 30036, 18, 9499, 14110, 318, 17615, 290, 5800, 18, 11600, 12572, 568, 9056, 761, 18, 203, 203, 1987, 203, 203, 2943, 86, 1607, 272, 292, 3610, 203, 56, 5889, 292, 3610, 203, 27069, 292, 1063, 2027, 8184, 203, 27069, 292, 13294, 203, 2943, 38842, 20373, 203, 28874, 3249, 431, 16939, 5126, 944, 2, 0, 44, 533, 4488, 225, 783, 3188, 286, 225, 88, 76, 73, 1737, 6787, 292, 1257, 30, 203, 203, 21103, 30, 203, 30456, 4488, 16, 39633, 296, 16, 16486, 22725, 1563, 30456, 4488, 16, 10236, 292, 9798, 21622, 16, 16486, 22725, 1563, 30456, 4488, 16, 1689, 40916, 1630, 16, 8808, 203, 203, 11871, 2198, 30, 203, 30456, 4488, 16, 1689, 389, 1707, 16, 3470, 203, 30456, 4488, 396, 29463, 13, 1563, 30456, 4488, 16, 7365, 1860, 13087, 16, 14013, 2307, 16, 8073, 203, 30456, 4488, 16, 3523, 13270, 73, 2307, 16, 9880, 203, 30456, 4488, 16, 3988, 3675, 13087, 16, 3011, 38342, 2307, 16, 9880, 203, 30456, 4488, 16, 1689, 4026, 866, 16, 10472, 16, 26329, 291, 18620, 203, 30456, 16202, 4488, 16, 568, 1712, 359, 30456, 4488, 16, 36474, 2307, 16, 4365, 2, 0, 521, 37913, 35489, 43842, 1099, 367, 1969, 9012, 318, 225, 69, 9915, 6721, 345, 385, 2404, 291, 1099, 367, 1969, 9012, 16, 41032, 423, 4109, 286, 2987, 18, 409, 1465, 318, 641, 292, 225, 88, 76, 73, 31795, 39682, 4928, 290, 385, 2533, 325, 5569, 13327, 10857, 18, 203, 203, 27701, 16120, 203, 203, 28016, 203, 203, 15072, 7228, 203, 203, 3257, 2477, 28815, 203, 2860, 42, 2247, 203, 203, 2053, 52, 39682, 4928, 203, 43953, 14719, 291, 41032, 203, 43479, 3696, 9915, 14719, 2, 0, 16166, 432, 284, 11004, 458, 3145, 2166, 77, 318, 225, 69, 3860, 292, 23602, 3068, 291, 225, 88, 76, 73, 1201, 37370, 20373, 1712, 431, 225, 88, 76, 73, 2078, 1565, 731, 47923, 526, 2886, 26743, 18, 225, 601, 318, 23394, 286, 3470, 18, 203, 203, 28862, 203, 16166, 432, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 11004, 458, 3145, 2166, 77, 11166, 291, 225, 88, 76, 73, 11473, 16, 8480, 16, 290, 27360, 292, 225, 88, 76, 73, 4574, 290, 7445, 641, 292, 3470, 18, 601, 318, 745, 2078, 291, 225, 88, 76, 73, 25141, 6532, 395, 7449, 291, 225, 88, 76, 73, 10054, 3024, 7175, 4254, 7649, 16, 225, 88, 76, 73, 7445, 17742, 14005, 41979, 16, 290, 225, 88, 76, 73, 2228, 76, 579, 34906, 13361, 18, 601, 318, 568, 1100, 291, 225, 88, 76, 73, 6758, 34639, 3470, 6532, 395, 7449, 290, 7984, 3826, 7277, 395, 7449, 18, 203, 203, 10683, 203, 16166, 432, 284, 11004, 458, 3145, 2166, 77, 318, 279, 4230, 16727, 3496, 4794, 18873, 423, 225, 286, 658, 225, 291, 6481, 18, 409, 11696, 318, 39362, 31395, 870, 290, 20476, 291, 1700, 290, 941, 24430, 18, 409, 4878, 371, 527, 286, 225, 941, 1689, 225, 88, 76, 73, 3039, 292, 225, 88, 76, 73, 3068, 290, 1059, 1509, 225, 88, 76, 73, 11696, 371, 4762, 18, 203, 203, 521, 8921, 41735, 318, 225, 69, 14508, 8837, 292, 10907, 15168, 22837, 292, 8845, 7780, 18, 4313, 8845, 1357, 318, 14522, 346, 283, 21040, 3428, 573, 371, 20476, 291, 1648, 22820, 484, 19660, 33102, 18, 1108, 371, 38880, 290, 19624, 291, 9568, 18, 409, 1357, 4730, 798, 6659, 1041, 1086, 399, 375, 9308, 431, 1220, 286, 1136, 9449, 6659, 25895, 1086, 399, 375, 18, 203, 203, 521, 25895, 290, 28809, 1041, 1086, 399, 375, 3896, 456, 610, 272, 292, 1046, 9274, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 46, 455, 2822, 20151, 15020, 30, 3694, 432, 284, 11004, 458, 3145, 2166, 77, 203, 10273, 27069, 21958, 30, 3694, 432, 284, 11004, 458, 3145, 2166, 77, 396, 2177, 47923, 526, 2886, 26743, 13, 203, 4221, 5760, 25702, 15666, 30, 3694, 432, 284, 11004, 458, 3145, 2166, 77, 396, 2177, 47923, 526, 2886, 26743, 13, 203, 16166, 432, 284, 11004, 458, 3145, 2166, 77, 1641, 528, 18, 39, 18, 16888, 8673, 203, 203, 16536, 694, 3014, 203, 42929, 23787, 292, 3470, 203, 27069, 292, 225, 88, 76, 73, 17742, 14005, 396, 11871, 2198, 13, 203, 19882, 2084, 292, 225, 88, 76, 73, 3470, 8842, 1971, 274, 290, 45815, 203, 19882, 2084, 292, 225, 88, 76, 73, 3470, 6532, 395, 7449, 203, 19882, 2084, 292, 225, 88, 76, 73, 3826, 7277, 395, 7449, 203, 98, 203, 27069, 1342, 3855, 316, 10875, 10714, 4709, 2, 0, 43078, 25869, 33739, 396, 281, 17721, 4652, 627, 13, 318, 279, 5224, 17, 4387, 4712, 292, 8217, 17, 72, 790, 1857, 16, 5302, 17, 72, 7636, 16, 43124, 282, 7307, 2150, 5908, 346, 225, 69, 11419, 17, 5856, 350, 290, 2660, 4522, 8640, 18, 409, 4712, 318, 2220, 291, 225, 88, 76, 73, 3442, 5919, 21817, 16, 1063, 2229, 16, 827, 357, 318, 1712, 359, 17721, 3395, 16, 286, 225, 88, 76, 73, 1570, 345, 629, 427, 7262, 225, 88, 76, 73, 4712, 339, 1740, 17721, 21817, 18, 1605, 5224, 15582, 5459, 291, 21817, 16, 544, 3459, 519, 9117, 346, 624, 16, 1315, 1751, 274, 37215, 627, 16, 517, 544, 38802, 7307, 326, 225, 88, 76, 73, 543, 5150, 1751, 274, 18, 2682, 203, 6050, 3481, 1723, 345, 603, 2549, 4652, 627, 644, 652, 2220, 291, 225, 88, 76, 73, 3442, 1364, 225, 88, 76, 73, 8587, 87, 16, 517, 650, 6387, 3435, 24088, 728, 1751, 274, 291, 225, 88, 76, 73, 6799, 87, 16, 1389, 21234, 664, 3988, 331, 666, 1969, 5205, 292, 225, 88, 76, 73, 5635, 19419, 14866, 6189, 38802, 7307, 18, 331, 666, 1969, 5205, 10424, 21234, 9506, 24687, 1010, 83, 290, 6632, 26176, 346, 5486, 225, 88, 76, 73, 4712, 423, 1063, 2229, 2086, 18, 203, 203, 10608, 961, 955, 225, 69, 761, 17, 4873, 4712, 291, 5224, 17, 4387, 3354, 16, 37215, 627, 318, 449, 225, 69, 9850, 4712, 388, 8640, 18, 1238, 371, 786, 3055, 9117, 345, 1031, 225, 88, 76, 73, 6489, 292, 442, 4712, 18, 203, 203, 6709, 498, 11322, 3395, 318, 225, 69, 2078, 14019, 1249, 953, 498, 2908, 10040, 3043, 292, 7307, 18, 2398, 498, 11322, 3395, 318, 1541, 3220, 359, 279, 45462, 18, 203, 203, 3591, 568, 203, 13746, 71, 1181, 203, 5174, 292, 7307, 8481, 203, 5224, 17, 4387, 13299, 203, 203, 1987, 203, 203, 13937, 203, 19392, 17, 4387, 13299, 203, 28296, 292, 21817, 16, 1063, 2229, 203, 39, 11912, 292, 1063, 2229, 396, 5337, 13, 2, 0, 27911, 1473, 361, 18, 17197, 396, 7751, 2272, 16, 10754, 696, 2636, 452, 16, 2730, 13, 385, 225, 88, 76, 73, 7754, 292, 14086, 47352, 16, 554, 292, 225, 88, 76, 73, 4104, 12465, 3882, 291, 225, 88, 76, 73, 2107, 18, 203, 203, 10449, 203, 13788, 291, 14733, 16, 3522, 290, 11007, 383, 23398, 2720, 1925, 291, 9953, 290, 225, 88, 76, 73, 1495, 292, 4365, 16, 8010, 17197, 3989, 225, 88, 76, 73, 1851, 2198, 8220, 3062, 10956, 18, 203, 203, 2856, 2107, 2446, 3299, 16, 8010, 17197, 5141, 3062, 4095, 16, 225, 69, 1863, 8162, 932, 18, 3062, 4095, 2758, 479, 225, 88, 76, 73, 2625, 7478, 3091, 326, 225, 88, 76, 73, 2107, 526, 6852, 291, 9953, 30, 17197, 568, 38697, 225, 69, 2913, 286, 1875, 5177, 286, 225, 88, 76, 73, 6852, 18, 203, 203, 829, 11995, 16, 1653, 325, 522, 1185, 423, 225, 88, 76, 73, 2107, 526, 6852, 16, 458, 5141, 14086, 47352, 573, 458, 8412, 698, 554, 292, 225, 88, 76, 73, 4104, 12465, 3882, 291, 225, 88, 76, 73, 2107, 18, 203, 203, 2177, 16675, 3062, 4095, 698, 35127, 9653, 291, 11153, 290, 3168, 14086, 47352, 286, 4554, 1448, 870, 954, 26537, 19614, 31111, 4108, 291, 10858, 30, 458, 6497, 11687, 292, 225, 88, 76, 73, 7641, 932, 1535, 6336, 18, 203, 203, 829, 11086, 16, 1511, 346, 797, 609, 3176, 16, 458, 5996, 225, 88, 76, 73, 1229, 4463, 6562, 292, 37403, 9653, 290, 10102, 5401, 640, 14566, 3211, 16, 225, 69, 1229, 4463, 932, 18, 203, 203, 10220, 969, 203, 13770, 12372, 4308, 13285, 291, 12896, 30, 1511, 544, 1981, 325, 286, 427, 554, 3198, 290, 554, 4159, 18, 731, 3904, 2636, 452, 16, 2730, 16, 291, 9953, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9453, 19586, 18, 203, 203, 1987, 203, 203, 11244, 292, 4365, 7692, 203, 23845, 4686, 203, 9227, 5850, 203, 15685, 29857, 286, 225, 88, 76, 73, 1851, 2198, 203, 15685, 1250, 16198, 203, 11871, 2198, 8220, 7765, 292, 2107, 2446, 3299, 2, 0, 6, 8097, 431, 225, 88, 76, 73, 8236, 6, 396, 12144, 1712, 359, 689, 8097, 383, 225, 88, 76, 73, 8236, 9530, 318, 225, 69, 2220, 1963, 3055, 431, 3833, 18503, 290, 30901, 16768, 37021, 290, 724, 4997, 431, 409, 30901, 16768, 37021, 32125, 291, 14186, 18, 409, 1963, 385, 745, 30318, 4997, 431, 18080, 26039, 471, 291, 13499, 18, 203, 203, 15924, 203, 521, 1963, 4819, 2220, 1660, 359, 225, 69, 1528, 526, 1452, 3163, 18, 409, 4140, 3882, 292, 225, 88, 76, 73, 1963, 371, 30, 5785, 431, 225, 88, 76, 73, 3505, 16, 1846, 291, 225, 88, 76, 73, 2980, 16, 821, 225, 88, 76, 73, 1308, 283, 3792, 8316, 426, 479, 291, 225, 69, 6020, 18, 601, 318, 225, 69, 2204, 1963, 581, 225, 69, 15756, 3505, 3997, 4243, 225, 88, 76, 73, 10404, 25556, 706, 286, 548, 18, 225, 409, 1963, 3020, 318, 940, 4438, 720, 13499, 31, 357, 504, 652, 2194, 291, 225, 69, 18189, 20377, 6444, 18, 203, 203, 8270, 21304, 22553, 388, 449, 16, 225, 88, 76, 73, 11101, 318, 823, 6733, 3305, 286, 225, 88, 76, 73, 19914, 292, 225, 88, 76, 73, 3395, 17, 15685, 9906, 1963, 689, 2282, 275, 4723, 2656, 225, 4536, 225, 88, 76, 73, 724, 1695, 318, 2608, 286, 689, 2282, 275, 4723, 2995, 357, 318, 543, 6733, 3305, 286, 225, 88, 76, 73, 11101, 292, 689, 521, 4992, 93, 17, 38, 907, 93, 18414, 2670, 346, 225, 88, 76, 73, 724, 797, 3882, 961, 2608, 18, 409, 2630, 1695, 292, 689, 8097, 2519, 225, 88, 76, 73, 8236, 6, 318, 2930, 291, 6605, 720, 225, 88, 76, 73, 1361, 16, 290, 225, 88, 76, 73, 5837, 1695, 7465, 286, 225, 88, 76, 73, 6605, 292, 225, 88, 76, 73, 724, 1695, 396, 22661, 326, 225, 69, 2930, 20896, 388, 325, 33511, 404, 83, 3401, 689, 56, 1178, 5, 316, 1178, 7137, 859, 203, 203, 5962, 6963, 203, 521, 7701, 2732, 1874, 4997, 225, 69, 2693, 292, 689, 8097, 2519, 225, 88, 76, 73, 8236, 6, 291, 13811, 16, 6650, 279, 6233, 1046, 917, 292, 10410, 431, 1275, 1592, 12369, 8746, 387, 290, 15321, 40062, 18, 601, 23079, 383, 1970, 2721, 325, 225, 88, 76, 73, 16816, 4662, 2313, 18, 203, 203, 28056, 3354, 203, 44911, 445, 5276, 2867, 14251, 23880, 783, 427, 652, 5166, 431, 225, 88, 76, 73, 2824, 292, 225, 88, 76, 73, 1963, 286, 3279, 522, 724, 11583, 6108, 1806, 16, 9317, 526, 2976, 3685, 18, 203, 203, 3591, 568, 203, 203, 7521, 292, 3637, 3943, 203, 203, 1987, 1563, 203, 28554, 3943, 203, 26798, 8396, 203, 16881, 526, 3943, 203, 46386, 26039, 471, 3943, 203, 21131, 581, 11481, 203, 21131, 3055, 431, 30901, 16768, 37021, 2, 0, 3111, 2509, 4488, 13330, 48044, 225, 318, 225, 69, 7797, 292, 21622, 292, 225, 88, 76, 73, 4010, 292, 15876, 8415, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 38, 454, 330, 694, 79, 9069, 318, 279, 11138, 4227, 291, 351, 1169, 7127, 5074, 17, 58, 12216, 298, 615, 82, 16, 4681, 18, 601, 7689, 291, 225, 88, 76, 73, 9133, 292, 225, 88, 76, 73, 12478, 12767, 903, 37574, 18, 203, 203, 6355, 203, 521, 12944, 16781, 1514, 292, 31132, 330, 694, 79, 318, 291, 225, 88, 76, 73, 16605, 2467, 38316, 378, 1717, 270, 29342, 290, 6833, 423, 1519, 12721, 18, 409, 2364, 385, 9488, 9489, 1154, 225, 88, 76, 73, 34117, 11068, 2446, 16, 517, 385, 20271, 819, 225, 88, 76, 73, 2391, 352, 87, 991, 291, 1958, 5777, 18, 28815, 203, 5733, 225, 88, 76, 73, 1846, 806, 292, 225, 88, 76, 73, 3911, 9170, 4321, 660, 643, 1146, 5699, 15409, 4848, 18, 1790, 16, 31132, 330, 694, 79, 1100, 3020, 291, 225, 88, 76, 73, 2176, 11425, 264, 2874, 4595, 7702, 16, 225, 69, 9425, 292, 2171, 15200, 431, 225, 88, 76, 73, 2151, 3274, 286, 225, 88, 76, 73, 5898, 292, 225, 88, 76, 73, 25141, 3911, 7164, 18, 557, 7423, 16, 479, 225, 88, 76, 73, 3558, 22334, 87, 643, 11395, 698, 225, 88, 76, 73, 12042, 9871, 292, 3853, 40988, 18, 44599, 1949, 292, 225, 88, 76, 73, 2677, 13863, 2483, 291, 11086, 290, 385, 3500, 770, 291, 8694, 18, 1979, 225, 88, 76, 73, 13139, 2634, 16, 16781, 2677, 4848, 9039, 286, 18522, 225, 88, 76, 73, 4227, 18, 1790, 16, 519, 22440, 427, 652, 38588, 282, 431, 225, 69, 21424, 292, 3497, 18557, 18, 203, 203, 3302, 4546, 292, 31132, 330, 694, 79, 526, 12938, 203, 829, 225, 88, 76, 73, 4521, 292, 2217, 17, 5448, 351, 1169, 7127, 5074, 3976, 16, 786, 10069, 720, 22616, 5008, 11048, 643, 9489, 1154, 225, 88, 76, 73, 1708, 5727, 292, 225, 88, 76, 73, 3551, 3911, 1627, 291, 1374, 286, 2017, 225, 69, 9425, 292, 2171, 14213, 225, 88, 76, 73, 25141, 3911, 7164, 18, 738, 385, 1772, 286, 1582, 225, 69, 4196, 9133, 292, 225, 69, 689, 1325, 17, 2336, 1389, 6, 12971, 286, 225, 88, 76, 73, 7164, 286, 2699, 4681, 819, 225, 88, 76, 73, 5898, 2154, 6765, 581, 225, 88, 76, 73, 9063, 292, 1145, 15174, 286, 225, 88, 76, 73, 7984, 1627, 18, 4168, 6665, 9489, 11048, 2765, 35027, 354, 330, 16, 37521, 5351, 483, 74, 396, 48, 5011, 12838, 37574, 873, 12993, 330, 396, 49, 8086, 13, 290, 30997, 26492, 396, 43, 719, 14163, 354, 859, 203, 203, 1987, 1563, 203, 15720, 21258, 3152, 291, 4681, 203, 18800, 45163, 292, 351, 1169, 7127, 5074, 17, 13588, 80, 4596, 2, 0, 521, 25620, 3408, 1583, 3819, 396, 3859, 6443, 94, 18, 21, 271, 18, 377, 13, 385, 279, 3408, 292, 225, 88, 76, 73, 8572, 292, 3994, 1154, 225, 88, 76, 73, 2764, 43968, 18, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 203, 521, 3408, 959, 357, 864, 47349, 286, 27622, 2764, 8591, 286, 8989, 519, 41904, 286, 225, 88, 76, 73, 7296, 16, 388, 423, 225, 88, 76, 73, 3536, 292, 3994, 286, 9269, 16, 388, 286, 8153, 31482, 286, 225, 69, 5193, 7704, 18, 203, 203, 521, 3408, 568, 4179, 225, 88, 76, 73, 3778, 326, 45122, 1486, 423, 3536, 286, 4576, 825, 225, 69, 1285, 388, 27133, 1535, 544, 379, 12947, 18, 9514, 16, 225, 88, 76, 73, 3408, 35115, 290, 25976, 1059, 596, 9858, 225, 88, 76, 73, 2885, 290, 5801, 225, 69, 2885, 18, 203, 203, 3591, 568, 203, 52, 1428, 353, 367, 559, 203, 8197, 47349, 291, 225, 88, 76, 73, 1851, 6248, 203, 203, 9824, 203, 203, 3257, 2477, 48528, 203, 6657, 375, 292, 225, 88, 76, 73, 8572, 292, 3994, 9129, 9214, 203, 2173, 3819, 291, 1690, 203, 2173, 3819, 291, 3994, 203, 18214, 998, 291, 3994, 203, 2173, 3819, 291, 7676, 203, 2173, 3819, 291, 9214, 203, 2173, 3819, 291, 17342, 2, 0, 12404, 13892, 318, 225, 69, 3911, 4824, 2774, 345, 6725, 292, 1220, 6400, 4824, 6463, 30, 1388, 15054, 10902, 2160, 574, 12246, 291, 37298, 17, 59, 49837, 16, 1388, 15054, 4662, 4107, 7741, 291, 25690, 3642, 387, 17, 10470, 5391, 405, 290, 1388, 15054, 8946, 284, 944, 291, 8946, 284, 944, 18, 409, 5253, 318, 35325, 295, 8440, 54, 16, 290, 225, 88, 76, 73, 2774, 35465, 291, 1346, 16, 3539, 16, 4770, 16, 9415, 17, 7311, 290, 4733, 18, 10411, 2719, 371, 568, 5346, 2775, 383, 1876, 345, 6069, 8130, 325, 1840, 717, 526, 2148, 290, 3457, 16, 290, 7707, 1302, 82, 1426, 423, 17479, 774, 384, 714, 396, 25686, 41840, 11022, 13, 290, 3990, 423, 1136, 30, 4425, 3242, 774, 17479, 396, 25686, 10411, 859, 203, 203, 22442, 4094, 203, 7236, 1388, 15054, 318, 225, 88, 76, 73, 4609, 2879, 4824, 3505, 326, 1840, 717, 291, 4681, 346, 384, 18, 25, 2372, 7100, 18436, 18, 557, 1408, 16, 1814, 2372, 717, 371, 3293, 292, 225, 88, 76, 73, 3505, 526, 8016, 18, 203, 203, 15054, 34865, 30, 19531, 18, 25, 203, 15054, 11376, 674, 73, 299, 30, 11572, 18, 20, 203, 15054, 603, 3219, 270, 17, 13582, 18075, 636, 270, 30, 11572, 18, 25, 203, 15054, 30995, 30, 26847, 18, 29, 203, 15054, 24399, 30, 26847, 18, 25, 203, 15054, 29163, 7127, 94, 30, 26847, 18, 20, 203, 15054, 3710, 262, 30, 27738, 18, 24, 203, 15054, 430, 397, 303, 30, 27738, 18, 26, 203, 15054, 6129, 5351, 12045, 76, 73, 30, 22709, 18, 22, 203, 15054, 556, 6083, 366, 80, 947, 1655, 30, 28792, 18, 26, 203, 15054, 8946, 284, 5074, 30, 17170, 18, 25, 203, 15054, 363, 2567, 287, 675, 30, 17170, 18, 27, 203, 15054, 37298, 17, 20959, 270, 30, 26821, 18, 28, 203, 15054, 23018, 10110, 30, 19376, 18, 28, 203, 15054, 44288, 30, 5000, 18, 29, 203, 15054, 319, 1448, 10110, 30, 17890, 18, 22, 203, 15054, 6694, 81, 30, 11572, 18, 27, 203, 15054, 5526, 570, 8671, 30, 25689, 18, 28, 203, 15054, 316, 5011, 4172, 270, 30, 19531, 18, 27, 203, 15054, 731, 299, 39843, 82, 30, 26847, 18, 27, 203, 15054, 332, 45482, 30, 22709, 18, 21, 203, 15054, 30306, 84, 1713, 270, 30, 2313, 18, 23, 203, 15054, 31700, 1485, 501, 270, 30, 27738, 18, 27, 203, 15054, 8946, 284, 966, 38994, 270, 30, 19586, 18, 22, 203, 15054, 5079, 24963, 30, 18645, 18, 26, 203, 15054, 640, 18, 11877, 2867, 30, 17170, 18, 28, 203, 203, 3286, 49801, 225, 203, 521, 15869, 292, 1388, 15054, 644, 1230, 652, 1249, 4847, 345, 643, 12708, 431, 29848, 359, 26534, 388, 35984, 18, 557, 554, 1715, 291, 2489, 442, 568, 3119, 286, 225, 69, 12942, 292, 225, 88, 76, 73, 2763, 18225, 326, 4215, 37298, 17, 59, 89, 2049, 88, 43682, 383, 225, 88, 76, 73, 2715, 2651, 292, 225, 88, 76, 73, 30274, 18, 203, 203, 3134, 292, 225, 88, 76, 73, 3505, 526, 745, 14647, 5148, 1837, 1128, 291, 2779, 2451, 18, 19945, 9099, 4517, 3866, 11107, 286, 3433, 225, 69, 20246, 3798, 286, 1104, 7127, 1233, 5551, 1323, 16, 596, 458, 3855, 286, 339, 225, 69, 2587, 45379, 326, 389, 2902, 40, 3535, 18, 4992, 2094, 5586, 345, 691, 780, 882, 2819, 225, 88, 76, 73, 4822, 3856, 874, 650, 780, 385, 2576, 524, 225, 88, 76, 73, 2587, 325, 345, 3505, 16, 780, 703, 623, 225, 69, 1616, 325, 689, 26758, 526, 4609, 2980, 984, 2656, 1666, 3798, 385, 3579, 2632, 383, 1148, 30, 6078, 321, 345, 927, 18, 203, 203, 521, 3798, 385, 359, 6244, 396, 47315, 291, 3911, 4922, 11319, 1104, 7127, 16, 268, 3479, 6756, 14212, 43326, 28614, 268, 6713, 76, 26987, 486, 9997, 428, 579, 6082, 831, 289, 1448, 354, 2019, 77, 21120, 88, 16, 4789, 265, 354, 309, 270, 13349, 29726, 294, 498, 291, 41332, 3524, 1388, 75, 2667, 14650, 20180, 2098, 74, 4780, 15054, 5, 374, 347, 289, 5551, 960, 294, 498, 16871, 719, 5, 1266, 3557, 524, 345, 225, 88, 76, 73, 982, 596, 987, 225, 88, 76, 73, 2587, 3180, 383, 225, 88, 76, 73, 595, 325, 389, 2902, 40, 3535, 385, 13681, 73, 5373, 24199, 438, 1385, 16, 449, 1104, 7127, 18, 557, 1408, 16, 1104, 7127, 644, 1850, 3846, 633, 4013, 346, 389, 2902, 40, 3535, 326, 2365, 629, 595, 290, 385, 915, 1376, 383, 4780, 15054, 18, 203, 203, 521, 4824, 3505, 526, 2551, 962, 5381, 279, 3363, 292, 225, 88, 76, 73, 838, 359, 709, 7446, 16, 2375, 357, 4835, 629, 1864, 37552, 16, 346, 3814, 2798, 6185, 225, 88, 76, 73, 838, 689, 74, 512, 2587, 2995, 689, 2714, 321, 6, 290, 20265, 225, 88, 76, 73, 3505, 526, 4272, 2744, 25878, 18, 9741, 16, 37298, 17, 59, 49837, 5031, 2891, 286, 9985, 225, 88, 76, 73, 2155, 6511, 346, 4780, 15054, 326, 279, 1465, 1584, 11458, 2587, 16, 10008, 4593, 290, 11458, 1216, 18, 409, 4824, 3505, 1708, 7133, 279, 30611, 3902, 544, 643, 9905, 326, 442, 18264, 16, 517, 11267, 357, 385, 3190, 581, 689, 2944, 24539, 225, 69, 631, 877, 11430, 6, 3976, 16, 290 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 13941, 345, 225, 88, 76, 73, 3463, 292, 689, 74, 512, 2587, 6, 385, 3067, 26980, 16, 1364, 4517, 3866, 526, 984, 385, 6560, 17, 13648, 16, 449, 1406, 2587, 17, 13648, 18, 557, 225, 88, 76, 73, 3465, 3512, 811, 629, 292, 225, 88, 76, 73, 1465, 526, 4593, 16, 629, 2798, 928, 225, 88, 76, 73, 2797, 385, 449, 877, 16, 517, 4184, 225, 88, 76, 73, 10241, 359, 689, 1339, 11054, 532, 1556, 601, 385, 568, 6246, 345, 1104, 7127, 1233, 5551, 1323, 882, 449, 987, 4517, 526, 3798, 23096, 1154, 225, 88, 76, 73, 1766, 2587, 3180, 18, 1979, 17375, 442, 1629, 385, 7295, 431, 225, 88, 76, 73, 6065, 22176, 334, 844, 29726, 556, 15589, 1365, 342, 37298, 17, 59, 49837, 396, 48, 29139, 859, 1238, 318, 568, 786, 18283, 292, 225, 88, 76, 73, 1627, 2155, 1690, 18, 409, 411, 29139, 11601, 225, 88, 76, 73, 2155, 12942, 1622, 4761, 255, 529, 2690, 270, 18, 3150, 326, 689, 44150, 2044, 323, 6, 7937, 581, 225, 88, 76, 73, 1388, 15054, 2797, 18, 203, 203, 988, 966, 317, 4422, 225, 203, 829, 1408, 286, 225, 88, 76, 73, 1560, 1179, 4780, 15054, 13632, 16, 4780, 15054, 568, 2418, 3143, 408, 966, 317, 4422, 1315, 30, 4327, 4780, 15054, 44044, 203, 4780, 15054, 20369, 17, 29246, 203, 4780, 15054, 9963, 203, 4780, 15054, 34956, 406, 203, 4780, 15054, 4739, 714, 14699, 203, 4780, 15054, 27155, 24165, 203, 4780, 15054, 1727, 10537, 954, 20369, 17, 29246, 203, 4780, 15054, 5504, 13250, 10537, 954, 20369, 17, 29246, 203, 4780, 15054, 41332, 1681, 203, 4780, 15054, 1466, 327, 2714, 341, 20369, 17, 29246, 44044, 203, 4780, 15054, 5504, 13250, 41332, 1681, 203, 4780, 15054, 12722, 8370, 474, 203, 4780, 15054, 12592, 3586, 43398, 203, 4780, 15054, 2107, 43398, 203, 4780, 15054, 30109, 306, 60, 48622, 954, 26410, 203, 4780, 15054, 30109, 306, 60, 12148, 954, 9113, 3010, 203, 4780, 15054, 8131, 43398, 203, 4780, 15054, 9963, 17514, 954, 2534, 17848, 40865, 9325, 203, 4780, 38, 39950, 2301, 203, 4780, 55, 2180, 316, 13584, 48944, 203, 4780, 54, 39941, 5859, 203, 4780, 2662, 45, 6094, 203, 203, 1987, 203, 203, 3257, 2477, 203, 11301, 1388, 15054, 1830, 22904, 4172, 9599, 203, 1388, 47, 2254, 8352, 9608, 774, 13349, 6131, 4119, 292, 4780, 15054, 396, 14211, 13, 203, 203, 22306, 6463, 291, 4681, 203, 22306, 6463, 3178, 291, 4597, 2, 0, 31623, 3070, 5373, 10217, 396, 3640, 2209, 1872, 16, 10858, 13, 318, 225, 69, 12504, 17, 14211, 7063, 18, 203, 203, 30366, 203, 203, 19162, 203, 203, 15603, 1563, 4988, 14572, 284, 1325, 3211, 6741, 5288, 16, 361, 3489, 6741, 30, 2433, 9378, 73, 203, 3486, 3211, 6741, 17703, 34827, 10785, 16, 3829, 6741, 30, 689, 1624, 3377, 6, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 22157, 4686, 203, 14211, 717, 292, 12504, 12107, 203, 14211, 4062, 1782, 7907, 203, 14211, 4062, 4239, 7907, 203, 6004, 717, 2, 0, 28817, 4517, 2822, 318, 225, 88, 76, 73, 1565, 292, 30, 203, 203, 28817, 4517, 2822, 396, 72, 17338, 2946, 13, 396, 3640, 11488, 873, 2764, 43945, 2946, 203, 28817, 4517, 2822, 396, 37611, 262, 13, 396, 3640, 11995, 873, 2764, 12796, 203, 28817, 389, 18, 4517, 2822, 396, 3640, 13853, 873, 1644, 2411, 2, 0, 19572, 4488, 16, 16532, 225, 318, 225, 69, 7797, 292, 16532, 12478, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 37, 25229, 86, 2659, 4283, 318, 225, 69, 16735, 4283, 9414, 431, 1778, 291, 12652, 3317, 18, 225, 409, 39078, 2659, 4283, 318, 225, 88, 76, 73, 9906, 15015, 292, 21273, 16, 11597, 3271, 290, 24158, 18, 601, 318, 1712, 431, 225, 69, 1046, 1565, 291, 1040, 1868, 18, 409, 4283, 318, 3839, 9414, 1154, 225, 88, 76, 73, 39078, 2659, 4770, 16, 517, 568, 609, 9792, 18, 203, 203, 46, 2512, 3271, 203, 829, 21273, 16, 225, 88, 76, 73, 39078, 2659, 4283, 318, 959, 292, 9355, 18, 601, 526, 1740, 225, 69, 2804, 2571, 17409, 18, 225, 409, 17409, 318, 9414, 346, 225, 69, 394, 38069, 18034, 36819, 290, 225, 69, 10847, 1357, 9323, 18, 1563, 203, 521, 39078, 2659, 318, 770, 28665, 291, 21273, 290, 30756, 1660, 359, 225, 69, 2719, 1563, 203, 521, 17452, 12273, 318, 11291, 3222, 18, 225, 601, 385, 4974, 326, 3506, 3872, 291, 225, 88, 76, 73, 6799, 87, 18, 1563, 203, 3134, 703, 449, 2649, 286, 821, 225, 88, 76, 73, 9906, 15015, 383, 225, 69, 3782, 18, 225, 409, 13224, 703, 3934, 225, 69, 10094, 3353, 16, 225, 88, 76, 73, 12731, 225, 69, 20797, 2660, 5990, 18, 15717, 203, 521, 770, 5560, 827, 225, 69, 563, 703, 3934, 225, 69, 10990, 3971, 10078, 290, 2660, 28035, 703, 339, 691, 458, 643, 6541, 325, 225, 88, 76, 73, 3232, 16, 2459, 8204, 3222, 9906, 3943, 388, 629, 3879, 292, 2326, 93, 84, 538, 388, 1673, 273, 291, 225, 88, 76, 73, 10909, 10328, 18, 203, 203, 44, 5060, 77, 203, 829, 24158, 16, 225, 88, 76, 73, 39078, 2659, 4283, 318, 1740, 225, 88, 76, 73, 26799, 349, 7060, 4283, 291, 40954, 951, 3977, 18, 225, 19350, 4062, 25328, 326, 21867, 16, 14227, 16, 290, 609, 7635, 3934, 318, 225, 88, 76, 73, 21057, 10078, 12273, 18, 203, 203, 24710, 33565, 203, 829, 7529, 33565, 16, 225, 88, 76, 73, 1565, 292, 225, 88, 76, 73, 4283, 318, 31299, 21743, 317, 22166, 4283, 18, 203, 203, 3591, 568, 203, 38, 1742, 12273, 203, 20066, 31902, 3353, 203, 16536, 3971, 396, 16623, 2560, 13, 203, 9937, 15015, 203, 203, 1987, 203, 203, 6620, 570, 10795, 6942, 203, 46, 2512, 5957, 3354, 203, 44, 5060, 666, 3354, 203, 6620, 570, 10795, 3354, 203, 40, 16276, 203, 42, 10374, 17839, 203, 43, 4864, 2, 0, 35768, 4488, 16, 16486, 22725, 225, 318, 225, 69, 7797, 292, 1351, 6720, 2307, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 35869, 4488, 318, 225, 69, 7797, 292, 1351, 6720, 2307, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 19421, 1064, 50084, 396, 3640, 40612, 28128, 9773, 274, 31, 2427, 377, 16, 16667, 696, 1589, 2357, 16, 11777, 13, 385, 279, 1644, 3232, 290, 7071, 3921, 7944, 290, 6693, 18, 203, 203, 9035, 969, 203, 14702, 33282, 385, 3157, 2427, 377, 16, 16667, 16, 291, 1063, 2229, 16, 346, 8091, 290, 3395, 32076, 359, 225, 88, 76, 73, 4159, 292, 29289, 9773, 446, 16, 225, 69, 8091, 13221, 16635, 16, 290, 522, 3564, 18, 203, 203, 10449, 203, 32070, 383, 2184, 1814, 16, 780, 2406, 359, 225, 69, 2609, 16, 290, 359, 225, 69, 20435, 291, 864, 1204, 780, 15403, 286, 1876, 4120, 541, 345, 780, 882, 2609, 1154, 225, 88, 76, 73, 927, 18, 1236, 21076, 326, 3702, 2212, 3523, 421, 17835, 290, 15405, 9317, 3011, 36323, 16, 16489, 45956, 25076, 16, 2212, 27309, 1448, 16, 290, 1761, 18, 1236, 4938, 291, 19295, 345, 643, 3179, 15865, 16, 290, 780, 644, 225, 88, 76, 73, 745, 17, 19038, 2191, 9543, 2988, 290, 7246, 291, 1063, 2229, 18, 1605, 225, 69, 1782, 6678, 2897, 633, 3363, 325, 225, 69, 44357, 16, 345, 3119, 225, 88, 76, 73, 836, 286, 633, 548, 291, 7071, 4322, 18, 203, 203, 14702, 33282, 385, 5346, 325, 1119, 4824, 290, 4239, 3064, 291, 7996, 18, 1236, 7157, 6291, 3596, 383, 395, 21860, 16, 1376, 359, 40612, 9773, 274, 16, 290, 959, 633, 18200, 5856, 291, 4532, 5274, 526, 31553, 393, 21435, 396, 23668, 859, 3728, 291, 10679, 16, 780, 385, 4792, 431, 395, 21860, 359, 345, 4822, 526, 7944, 745, 2648, 286, 6675, 291, 225, 69, 1782, 2269, 18, 203, 203, 8714, 1358, 3648, 16, 528, 46039, 21604, 396, 29340, 873, 385, 5782, 431, 5409, 50084, 16, 596, 568, 5782, 633, 291, 225, 88, 76, 73, 8911, 19521, 48919, 431, 6763, 291, 13525, 18, 2325, 548, 291, 528, 46039, 21604, 9144, 291, 633, 9649, 225, 69, 941, 17, 4690, 4013, 346, 395, 21860, 1846, 291, 13525, 18, 1236, 2483, 1376, 359, 40612, 50084, 291, 3392, 291, 24456, 396, 29131, 859, 203, 203, 5733, 2107, 2446, 3299, 16, 780, 290, 633, 4252, 22332, 9893, 346, 15217, 7193, 2719, 345, 544, 1353, 325, 754, 225, 88, 76, 73, 1727, 51, 18, 1236, 3838, 1376, 291, 1240, 6460, 16, 955, 359, 43234, 35324, 1007, 291, 26711, 431, 6763, 396, 29022, 873, 291, 573, 780, 4624, 282, 225, 69, 3839, 18749, 90, 2005, 277, 2764, 14132, 16, 290, 8431, 18, 3011, 8908, 1448, 291, 15445, 41193, 526, 557, 341, 285, 225, 88, 76, 73, 4128, 18, 1236, 2406, 698, 225, 88, 76, 73, 7423, 87, 16, 13570, 291, 1594, 17, 4883, 290, 45791, 1498, 225, 88, 76, 73, 6763, 18, 203, 203, 1905, 225, 88, 76, 73, 745, 641, 16, 2375, 16, 50084, 385, 524, 292, 1629, 18, 2325, 3962, 17, 43186, 16, 596, 644, 39917, 325, 2723, 87, 3282, 16, 385, 291, 2923, 1489, 431, 225, 88, 76, 73, 991, 292, 225, 88, 76, 73, 7134, 18, 15527, 4939, 33567, 290, 1229, 4463, 4120, 286, 723, 1118, 225, 88, 76, 73, 1201, 4526, 16, 50084, 3867, 1482, 225, 69, 22844, 292, 10052, 16, 4396, 1889, 6460, 291, 225, 88, 76, 73, 3596, 18, 1236, 385, 568, 225, 69, 5985, 2946, 325, 955, 2719, 359, 16072, 14275, 16, 31724, 16, 409, 22957, 18493, 5549, 290, 47800, 12531, 18, 203, 203, 10220, 969, 203, 829, 15894, 16, 780, 1981, 286, 3023, 326, 225, 69, 8204, 6595, 290, 1112, 225, 88, 76, 73, 7063, 19, 30232, 19, 10788, 9516, 5409, 50084, 16, 5334, 780, 4308, 325, 2429, 1025, 16, 13918, 18, 731, 385, 2340, 452, 806, 633, 5012, 18, 1591, 4218, 1635, 325, 9299, 633, 1220, 1528, 396, 5834, 2765, 225, 69, 917, 292, 22558, 873, 780, 385, 2194, 770, 33275, 317, 1300, 325, 3282, 1154, 225, 88, 76, 73, 8587, 87, 346, 5985, 6460, 325, 3064, 7462, 431, 411, 10282, 4395, 6299, 290, 10100, 10407, 1010, 18, 203, 203, 16417, 203, 4290, 3904, 291, 5511, 5894, 16, 3470, 16, 325, 2357, 1589, 11777, 423, 225, 88, 76, 73, 3912, 292, 5026, 18, 1236, 385, 10919, 806, 1367, 18, 2325, 2243, 2358, 291, 225, 88, 76, 73, 1782, 16, 7105, 5915, 330, 597, 385, 2740, 44628, 18, 2325, 1657, 385, 11002, 383, 49003, 526, 8221, 28216, 9292, 2409, 14197, 18, 203, 203, 30366, 203, 203, 12158, 6460, 203, 31553, 393, 21435, 396, 23668, 13, 774, 7444, 16693, 291, 29118, 1258, 396, 33086, 13, 203, 3783, 526, 4851, 4107, 396, 29340, 13, 774, 16090, 16, 38952, 6706, 396, 33086, 13, 203, 26449, 24644, 396, 29340, 13, 774, 24040, 396, 33086, 13, 203, 10312, 732, 16, 12567, 16, 10312, 732, 396, 29340, 13, 774, 45127, 10065, 1473, 396, 287, 40612, 9773, 274, 13, 203, 528, 46039, 21604, 396, 29340, 13, 774, 5062, 2699, 396, 287, 40612, 9773, 274, 13, 203, 374, 2481, 282, 44326, 396, 28860, 13, 774, 396, 287, 40612, 9773, 274, 13, 203, 1113, 3214, 9589, 396, 28860, 13, 774, 4210, 12762, 396, 287, 40612, 9773, 274, 13, 203, 48919, 431, 6763, 396, 28860, 13, 774, 20285, 46823, 203, 3392, 291, 24456, 396, 29131, 13, 774, 4162, 24146, 6706, 396, 33086, 13, 203, 10461, 1677, 1524, 866, 396, 24516, 13, 774, 29981, 36633, 203, 26711, 431, 6763, 396, 29022, 13, 774, 43234, 35324, 1007, 203, 8745, 36776, 396, 29146, 13, 774, 46054, 22093, 203, 5785, 10472, 6187, 396, 29022, 13, 774, 30546, 37350, 203, 3395, 9829, 396, 28554, 13, 774, 351, 3132, 203, 409, 24045, 292, 13805, 18549, 396, 28554, 13, 774, 35312, 16, 26422, 291, 3844, 396, 33086, 13, 203, 1594, 17, 4883, 396, 19441, 13, 774, 16749, 3499, 396, 33086, 13, 203, 557, 341, 285, 225, 88, 76, 73, 4128, 396, 19441, 13, 774, 8431, 18, 3011, 8908, 1448, 203, 45791, 1498, 225, 88, 76, 73, 6763, 396, 25814, 13, 774, 24040, 396, 33086, 13, 203, 7105, 5915, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 597, 396, 24662, 13, 774, 9492, 28131, 2435, 396, 33086, 13, 396, 18559, 1782, 2450, 13, 203, 203, 19162, 6460, 203, 44272, 526, 36164, 396, 21, 5268, 16, 14732, 13, 774, 40612, 203, 1900, 18, 15770, 526, 6326, 6697, 396, 21, 5268, 16, 14417, 13, 774, 24040, 203, 409, 4790, 290, 225, 88, 76, 73, 8029, 396, 21, 5268, 16, 13698, 13, 774, 4538, 44462, 203, 15183, 5042, 16, 8402, 18, 396, 22, 9199, 16, 13698, 13, 774, 15858, 30640, 203, 17885, 286, 411, 10282, 4395, 396, 21, 5268, 16, 13698, 13, 774, 1009, 642, 17896, 1618, 203, 10100, 10407, 1010, 39942, 409, 46044, 514, 7603, 396, 22, 9199, 16, 14106, 13, 774, 25440, 2030, 8431, 18, 389, 4422, 83, 203, 1343, 1780, 14279, 13647, 396, 22, 9199, 16, 7423, 13, 774, 34311, 203, 409, 4648, 319, 931, 82, 5549, 396, 21, 5268, 16, 13356, 13, 774, 20642, 18786, 203, 30246, 31141, 396, 21, 5268, 16, 12902, 13, 774, 29981, 203, 31724, 396, 21, 5268, 16, 12902, 13, 774, 4538, 10071, 203, 409, 22957, 18493, 5549, 396, 21, 5268, 16, 12902, 13, 774, 30546, 203, 16072, 14275, 396, 22, 9199, 16, 7423, 1180, 25814, 13, 774, 8925, 50243, 2030, 4538, 26367, 734, 203, 4138, 12918, 13647, 396, 21, 5268, 16, 12902, 13, 774, 48103, 203, 409, 16866, 42625, 18128, 396, 21, 5268, 16, 12902, 13, 774, 10889, 1010, 526, 8312, 203, 203, 1987, 203, 203, 3257, 2477, 24405, 40612, 50084, 383, 2343, 687, 18, 1633, 203, 27276, 383, 1063, 2229, 6320, 1344, 203, 203, 31825, 4686, 203, 24879, 5850, 203, 31581, 423, 5026, 291, 3470, 203, 10080, 16276, 423, 1063, 2229, 396, 5337, 13, 203, 55, 8263, 423, 1063, 2229, 396, 5337, 13, 203, 4387, 3232, 19121, 203, 4387, 4239, 19121, 203, 4387, 1782, 19121, 203, 825, 88, 76, 17, 4577, 1644, 19121, 203, 825, 88, 76, 17, 4577, 1644, 14314, 203, 825, 88, 76, 17, 4577, 1644, 1778, 14314, 203, 40857, 383, 8221, 28216, 9292, 2409, 396, 15456, 34199, 13, 2, 0, 521, 7233, 562, 2511, 308, 1251, 3408, 1583, 12721, 225, 396, 4665, 6443, 94, 18, 314, 16, 271, 18, 384, 13, 385, 279, 3408, 292, 225, 88, 76, 73, 8572, 292, 3994, 18, 409, 3408, 17536, 719, 5250, 6402, 661, 308, 1251, 423, 225, 3427, 543, 720, 2176, 4638, 423, 519, 1577, 388, 5523, 544, 703, 43776, 479, 519, 2646, 18, 203, 203, 9824, 203, 203, 6657, 375, 292, 225, 88, 76, 73, 8572, 292, 3994, 9129, 9214, 203, 2173, 12721, 291, 1690, 203, 2173, 12721, 291, 3994, 203, 44390, 290, 7676, 203, 27556, 17, 34983, 1486, 291, 3994, 203, 2173, 12721, 291, 17342, 2, 0, 42, 9201, 4488, 318, 225, 69, 7797, 292, 1351, 6720, 2307, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 22662, 675, 23437, 28818, 44274, 523, 34808, 314, 3691, 20229, 375, 826, 636, 20729, 1712, 359, 7559, 675, 23437, 21963, 16, 318, 225, 69, 14785, 7798, 2746, 2595, 2558, 291, 225, 88, 76, 73, 12478, 292, 7559, 675, 23437, 16, 573, 5066, 291, 225, 88, 76, 73, 5911, 6108, 18, 28225, 325, 1025, 2262, 19611, 16, 357, 318, 554, 292, 225, 88, 76, 73, 9379, 7126, 291, 14785, 2746, 18, 601, 11904, 291, 225, 88, 76, 73, 5452, 290, 3384, 14785, 4236, 14719, 18, 203, 203, 1744, 7058, 203, 521, 12626, 318, 1013, 431, 7559, 675, 23437, 21963, 290, 7559, 675, 23437, 332, 39451, 1365, 4801, 636, 34808, 11238, 274, 267, 296, 350, 425, 16, 225, 88, 76, 73, 7559, 675, 23437, 41601, 11, 290, 27040, 1131, 4668, 18, 601, 6019, 384, 16, 1318, 24720, 16, 2313, 292, 573, 371, 2758, 346, 8083, 18, 1099, 292, 2775, 3486, 16, 225, 88, 76, 73, 5530, 1319, 292, 24720, 383, 554, 2200, 504, 652, 377, 16, 25, 2455, 717, 18, 203, 203, 32986, 366, 203, 20166, 12982, 203, 8878, 1540, 45946, 270, 203, 203, 40422, 12982, 203, 7559, 7814, 556, 726, 426, 203, 203, 46586, 203, 3829, 2763, 11652, 30, 3846, 832, 88, 76, 291, 225, 88, 76, 73, 9403, 13795, 6108, 203, 203, 3257, 2477, 203, 42, 9509, 17, 38, 765, 16, 3131, 1622, 225, 203, 22662, 675, 23437, 21963, 225, 383, 14785, 7202, 3693, 203, 203, 18406, 7126, 291, 13795, 203, 22662, 675, 23437, 21622, 203, 15684, 2746, 7126, 3178, 291, 19611, 203, 37801, 9011, 291, 13795, 2, 0, 1833, 2335, 828, 5367, 315, 225, 69, 22316, 4669, 10124, 35, 385, 225, 69, 5251, 4418, 4174, 4239, 1909, 345, 15905, 325, 30531, 14739, 18, 601, 18454, 325, 2262, 1583, 16, 3486, 383, 1188, 3288, 33533, 16, 290, 11929, 325, 2382, 3436, 16, 3486, 18, 409, 984, 318, 1653, 325, 225, 88, 76, 73, 1909, 292, 225, 88, 76, 73, 1150, 1565, 573, 15905, 325, 9817, 2060, 291, 225, 88, 76, 73, 1851, 6248, 291, 4109, 18, 409, 5251, 2693, 385, 14226, 819, 554, 1569, 18, 203, 203, 521, 20639, 292, 225, 88, 76, 73, 7059, 385, 286, 942, 225, 69, 5281, 8681, 17203, 286, 748, 225, 88, 76, 73, 1083, 2450, 292, 10124, 12299, 1129, 495, 291, 225, 88, 76, 73, 3486, 7300, 17873, 48627, 290, 3906, 7880, 90, 562, 22152, 292, 31497, 290, 25424, 8116, 526, 409, 9131, 292, 4107, 383, 225, 88, 76, 73, 14086, 292, 8184, 7603, 291, 8041, 18, 32252, 41026, 643, 2404, 291, 4266, 5251, 5394, 18, 409, 984, 385, 7462, 431, 30462, 24793, 290, 5346, 10560, 6472, 16, 32997, 4020, 3995, 88, 16, 290, 2212, 43469, 1010, 359, 225, 88, 76, 73, 12866, 326, 225, 88, 76, 73, 984, 18, 203, 203, 521, 724, 5268, 292, 225, 88, 76, 73, 984, 5346, 225, 88, 76, 73, 1174, 2723, 21416, 366, 383, 225, 88, 76, 73, 984, 526, 10124, 1925, 961, 2150, 286, 452, 18, 409, 1361, 5268, 644, 225, 88, 76, 73, 1104, 10999, 6541, 291, 2290, 292, 17873, 48627, 291, 3023, 16, 290, 857, 225, 88, 76, 73, 452, 643, 2150, 286, 1136, 346, 522, 6692, 18, 24215, 2262, 3143, 16, 225, 88, 76, 73, 1104, 10999, 4604, 1766, 291, 8041, 760, 3990 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1876, 346, 225, 69, 1766, 16269, 18, 409, 11586, 2241, 15905, 325, 225, 88, 76, 73, 1737, 1876, 18, 203, 203, 13624, 1131, 203, 17655, 26906, 959, 357, 754, 225, 88, 76, 73, 21416, 11341, 290, 4604, 1154, 225, 88, 76, 73, 1766, 2719, 18, 203, 203, 14, 383, 225, 88, 76, 73, 894, 292, 225, 88, 76, 73, 7059, 203, 203, 15663, 11190, 203, 203, 14584, 2719, 203, 521, 1766, 2719, 2897, 225, 88, 76, 73, 29827, 15410, 554, 431, 554, 1737, 1119, 1682, 290, 1275, 7568, 18, 4121, 15410, 16, 225, 88, 76, 73, 4721, 33296, 4810, 225, 88, 76, 73, 1167, 431, 3173, 225, 69, 2358, 292, 689, 2628, 5656, 16, 39352, 4736, 6, 423, 409, 9131, 292, 4107, 346, 225, 88, 76, 73, 6097, 26906, 18, 203, 203, 15150, 377, 396, 7077, 3143, 16, 3486, 13, 203, 10776, 225, 88, 76, 73, 724, 1302, 292, 225, 88, 76, 73, 4174, 16, 27919, 385, 225, 88, 76, 73, 724, 10124, 286, 339, 15410, 423, 225, 88, 76, 73, 4174, 18, 409, 984, 7568, 643, 30, 203, 203, 14459, 7568, 30, 203, 6, 1833, 2335, 828, 5367, 315, 332, 22316, 4669, 10124, 6144, 396, 8494, 225, 88, 76, 73, 5281, 409, 9131, 292, 4107, 13, 203, 6, 45, 6451, 40579, 6, 396, 8494, 225, 88, 76, 73, 5281, 409, 9131, 292, 4107, 13, 203, 203, 26386, 17, 8072, 203, 203, 15150, 384, 396, 7077, 3843, 16, 3486, 13, 203, 1624, 225, 88, 76, 73, 3929, 326, 442, 1302, 16, 225, 88, 76, 73, 2778, 1104, 10999, 644, 286, 7912, 708, 2265, 544, 371, 431, 2158, 641, 291, 225, 69, 6696, 10046, 18, 203, 203, 1905, 519, 1682, 7568, 16, 225, 88, 76, 73, 26906, 16469, 3943, 431, 5251, 3852, 286, 6608, 3522, 2976, 18, 203, 203, 521, 984, 7568, 643, 30, 203, 203, 14459, 7568, 30, 203, 6, 2943, 27917, 9714, 6, 396, 8494, 225, 88, 76, 73, 5281, 409, 9131, 292, 4107, 13, 203, 6, 45095, 82, 985, 1911, 7876, 2720, 30674, 6, 396, 3672, 8287, 15820, 73, 954, 12805, 1038, 4153, 8561, 13, 203, 203, 26386, 17, 8072, 203, 203, 15150, 685, 396, 7322, 1025, 16, 3486, 13, 203, 1905, 519, 1682, 7568, 16, 225, 88, 76, 73, 26906, 16469, 3943, 423, 225, 88, 76, 73, 36935, 18, 203, 203, 521, 984, 7568, 643, 30, 203, 203, 14459, 7568, 30, 203, 6, 4193, 17, 1356, 17, 8141, 6, 396, 8494, 225, 88, 76, 73, 5281, 409, 9131, 292, 4107, 13, 203, 6, 4899, 2807, 292, 5004, 6, 396, 8494, 225, 88, 76, 73, 5281, 17788, 13, 203, 203, 26386, 17, 8072, 203, 203, 15150, 832, 396, 7322, 2272, 16, 3486, 13, 203, 1624, 225, 88, 76, 73, 3929, 326, 442, 1302, 16, 225, 88, 76, 73, 26906, 838, 346, 225, 88, 76, 73, 1528, 286, 723, 5008, 1133, 225, 88, 76, 73, 2778, 1104, 10999, 18, 203, 203, 521, 984, 7568, 643, 30, 203, 203, 14459, 7568, 30, 203, 6, 521, 42888, 2144, 1016, 72, 6, 396, 8494, 225, 88, 76, 73, 5281, 409, 9131, 292, 4107, 13, 203, 6, 4331, 985, 10984, 325, 1832, 23603, 6, 396, 8494, 225, 88, 76, 73, 5281, 31454, 6706, 13, 203, 203, 26386, 17, 8072, 203, 203, 15150, 848, 396, 7322, 452, 16, 3486, 13, 203, 1200, 1302, 16, 715, 664, 225, 88, 76, 73, 3194, 2693, 16, 225, 88, 76, 73, 3929, 385, 225, 69, 13690, 1735, 346, 2212, 43469, 1010, 16, 573, 2912, 522, 3267, 225, 88, 76, 73, 1104, 10999, 225, 69, 6683, 11103, 18, 203, 203, 521, 984, 7568, 643, 30, 203, 203, 14459, 7568, 30, 203, 6, 45, 6451, 40579, 6, 396, 8494, 225, 88, 76, 73, 5281, 409, 9131, 292, 4107, 13, 203, 6, 1266, 526, 225, 69, 4622, 6763, 326, 40264, 6, 396, 8494, 225, 88, 76, 73, 5281, 2361, 6852, 13, 203, 6, 55, 1530, 6, 396, 521, 363, 1262, 2238, 267, 47951, 13, 203, 203, 26386, 17, 8072, 203, 203, 15150, 1025, 396, 7322, 3498, 16, 3486, 13, 203, 1905, 519, 1682, 7568, 16, 225, 88, 76, 73, 26906, 16469, 3943, 431, 7300, 17873, 48627, 18, 203, 203, 521, 984, 7568, 643, 30, 203, 203, 14459, 7568, 30, 203, 13624, 1131, 30, 689, 39909, 828, 1594, 2335, 6, 396, 8494, 225, 88, 76, 73, 5281, 20450, 4217, 2097, 10517, 13, 203, 13624, 1131, 30, 689, 2943, 27917, 9714, 6, 396, 8494, 225, 88, 76, 73, 5281, 409, 9131, 292, 4107, 13, 203, 13624, 1131, 290, 2677, 1104, 10999, 30, 689, 1833, 2335, 828, 5367, 315, 332, 22316, 4669, 10124, 6144, 396, 8494, 225, 88, 76, 73, 5281, 409, 9131, 292, 4107, 13, 203, 41, 767, 567, 290, 2011, 1069, 30, 689, 521, 9131, 292, 4107, 6, 396, 8494, 409, 9131, 292, 4107, 13, 203, 203, 2856, 961, 3823, 359, 225, 88, 76, 73, 1569, 6651, 16, 430, 767, 567, 11929, 225, 88, 76, 73, 1569, 346, 225, 69, 2358, 292, 689, 521, 9131, 292, 4107, 2656, 203, 203, 2856, 225, 88, 76, 73, 984, 203, 41, 767, 567, 4095, 47, 21768, 1825, 225, 88, 76, 73, 745, 10362, 16, 359, 3823, 44129, 325, 225, 88, 76, 73, 5251, 5362, 6289, 383, 1148, 30, 1878, 3288, 16, 2382, 3436, 16, 2333, 279, 3597, 981, 225, 88, 76, 73, 984, 15905, 291, 225, 88, 76, 73, 8041, 1389, 18, 203, 203, 2091, 2429, 2116, 16, 3486, 357, 385, 3823, 345, 13623, 17, 406, 16, 2011, 1069, 2345, 38453, 16, 644, 652, 4078, 359, 279, 689, 43873, 405, 10124, 6, 326, 225, 88, 76, 73, 8041, 3232, 2551, 18, 2011, 1069, 2533, 10124, 6273, 225, 69, 1302, 396, 17261, 17809, 290, 4201, 3418, 622, 272, 873, 1027, 430, 767, 567, 459, 1312, 225, 88, 76, 73, 2450, 2701, 1631, 7100, 396, 17077, 17809, 16, 5903, 3418, 622, 272, 16, 5691, 754, 4201, 17809, 290, 3990, 3418, 622, 272, 859, 203, 203, 4664, 11349, 292, 225, 88, 76, 73, 984, 427, 8021, 345, 225, 88, 76, 73, 5929, 290, 17873, 48627, 39092, 2011, 1069, 658, 225, 88, 76, 73, 609, 14970, 291, 225, 88, 76, 73, 4174, 18, 1790, 16, 430, 767, 567, 4095, 47, 21768, 4810, 527 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 13860, 2011, 1069, 291, 225, 88, 76, 73, 2243, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 16679, 3850, 9599, 383, 271, 46130, 18, 5991, 203, 6977, 16, 38777, 35, 9664, 203, 9578, 87, 5251, 4418, 4239, 1909, 203, 10592, 5251, 4239, 1909, 28905, 203, 10592, 5251, 4239, 1909, 28751, 203, 39, 3886, 14739, 2536, 6927, 203, 11780, 11031, 291, 3522, 203, 55, 13797, 4514, 2719, 203, 521, 9131, 292, 4107, 203, 19162, 1909, 431, 10918, 3568, 18295, 2, 0, 521, 3194, 1925, 291, 225, 88, 76, 73, 9711, 396, 6669, 50, 13, 318, 279, 25113, 17, 6553, 1632, 1275, 292, 4885, 3621, 10002, 291, 409, 33771, 1389, 18, 1238, 371, 2176, 24280, 345, 1511, 1139, 554, 1204, 30, 19213, 50, 8213, 1925, 11890, 816, 354, 329, 270, 16, 19213, 50, 10456, 1925, 1254, 1757, 14337, 315, 270, 16, 19213, 50, 10456, 1925, 603, 80, 2105, 753, 16, 19213, 50, 10456, 1925, 12226, 438, 1479, 334, 290, 3909, 527, 291, 2427, 2286, 30, 8213, 1925, 1254, 1757, 14337, 315, 270, 18, 4020, 3275, 564, 1463, 423, 658, 4920, 42972, 371, 14663, 18, 203, 203, 521, 1204, 318, 1227, 286, 1463, 423, 685, 286, 1124, 806, 292, 2184, 16, 290, 568, 2221, 927, 1028, 326, 1669, 17, 23, 87, 290, 819, 1204, 1028, 325, 709, 10456, 1925, 1254, 1757, 14337, 315, 270, 5671, 754, 1343, 7078, 3211, 4898, 4276, 18, 203, 203, 521, 3621, 479, 1085, 225, 88, 76, 73, 2764, 9764, 16, 573, 1817, 345, 1463, 949, 47121, 87, 291, 11068, 1136, 290, 1814, 396, 505, 1583, 290, 1958, 873, 8434, 225, 88, 76, 73, 30858, 6648, 291, 11068, 1519, 290, 2272, 396, 505, 1946, 290, 1124, 13, 827, 1463, 783, 2395, 286, 949, 24721, 291, 2459, 3194, 332, 17, 20677, 87, 388, 225, 88, 76, 73, 25113, 25820, 16509, 18, 203, 203, 521, 1925, 385, 5141, 291, 409, 33771, 291, 18189, 431, 40095, 12499, 1077, 17, 29666, 16, 290, 385, 1740, 409, 2764, 1925, 774, 357, 504, 3838, 286, 1405, 290, 504, 1620, 2214, 526, 4104, 2818, 1204, 346, 1463, 423, 658, 4920, 42972, 7167, 18, 203, 203, 31236, 203, 521, 3194, 1925, 291, 225, 88, 76, 73, 9711, 318, 2750, 10538, 1808, 848, 3345, 16, 1653, 291, 290, 1060, 409, 33771, 290, 11890, 816, 354, 329, 270, 18, 409, 1220, 10345, 3621, 9759, 1528, 423, 685, 286, 1814, 16, 1027, 225, 88, 76, 73, 8213, 10765, 371, 326, 1528, 423, 1814, 286, 1124, 18, 203, 203, 30600, 1925, 12226, 438, 1479, 334, 203, 203, 30600, 1925, 12226, 438, 1479, 334, 43931, 1060, 8428, 1528, 9453, 685, 286, 1814, 18, 601, 318, 10002, 291, 225, 88, 76, 73, 10124, 923, 9192, 1389, 292, 409, 33771, 18, 409, 1474, 1357, 318, 13805, 374, 1016, 82, 18, 203, 203, 30600, 1925, 1254, 1757, 14337, 315, 270, 203, 203, 30600, 1925, 1254, 1757, 14337, 315, 270, 318, 225, 69, 5671, 291, 225, 88, 76, 73, 1254, 1757, 14337, 315, 270, 1389, 292, 409, 33771, 16, 3047, 832, 4472, 225, 3152, 326, 1528, 9453, 685, 286, 1814, 806, 18, 601, 385, 3909, 291, 2987, 431, 14086, 6429, 8676, 18, 409, 5671, 2626, 4797, 326, 524, 292, 1204, 1028, 16, 225, 69, 927, 1028, 5399, 326, 1669, 17, 286, 685, 17, 2996, 17, 10762, 290, 225, 69, 3304, 290, 1504, 5399, 18, 409, 1474, 1357, 318, 6129, 960, 5809, 27883, 386, 18, 203, 203, 30600, 1925, 603, 80, 2105, 753, 203, 203, 30600, 1925, 603, 80, 2105, 753, 2418, 10975, 326, 5699, 6052, 1528, 9453, 685, 286, 1814, 18, 738, 3325, 17, 10466, 1848, 385, 3909, 291, 7248, 18, 409, 1474, 1357, 318, 19179, 49950, 18, 203, 203, 20138, 1925, 11890, 816, 354, 329, 270, 203, 203, 47217, 291, 11890, 816, 354, 329, 270, 16, 715, 2573, 409, 33771, 16, 225, 88, 76, 73, 19213, 50, 8213, 1925, 504, 4767, 326, 527, 286, 377, 16, 4884, 1463, 423, 479, 658, 225, 88, 76, 73, 1004, 18, 409, 8213, 1925, 504, 3304, 5690, 16, 10006, 25390, 290, 9915, 10857, 18, 409, 17801, 1706, 7908, 2172, 955, 359, 946, 290, 2216, 31, 27294, 31, 1518, 2216, 31, 953, 290, 1452, 31, 290, 225, 88, 76, 73, 1220, 15193, 18, 7773, 371, 1316, 286, 2621, 3395, 16, 3911, 16, 8091, 16, 5706, 16, 4497, 290, 609, 7442, 359, 641, 292, 225, 88, 76, 73, 5910, 8863, 6831, 18, 1238, 318, 225, 69, 5532, 290, 3169, 1389, 16, 225, 69, 1204, 6582, 346, 3232, 290, 1968, 20486, 6551, 31, 225, 69, 36161, 290, 3304, 6582, 18, 409, 1474, 1357, 318, 10329, 731, 1725, 18, 203, 203, 20138, 1925, 1254, 1757, 14337, 315, 270, 203, 203, 521, 3194, 1204, 291, 225, 88, 76, 73, 9711, 427, 3909, 225, 69, 631, 5012, 1204, 325, 225, 88, 76, 73, 1150, 3053, 359, 225, 88, 76, 73, 10456, 1204, 291, 1254, 1757, 14337, 315, 270, 16, 5237, 16260, 286, 519, 609, 8635, 1204, 18, 409, 1474, 1357, 318, 3988, 8202, 80, 719, 18, 203, 203, 13288, 8429, 203, 521, 19213, 50, 318, 225, 69, 1928, 17, 7014, 8429, 6233, 11680, 325, 5388, 4526, 290, 11963, 786, 38222, 423, 2459, 225, 88, 76, 73, 8091, 388, 3194, 10768, 18, 409, 1204, 318, 4642, 431, 225, 69, 2928, 292, 2255, 16, 31933, 431, 225, 88, 76, 73, 9784, 290, 8772, 292, 5012, 7403, 1434, 225, 88, 76, 73, 1204, 352, 87, 3958, 290, 1118, 2246, 18, 738, 2928, 318, 3466, 545, 286, 225, 88, 76, 73, 2928, 292, 32319, 16, 573, 318, 4246, 326, 7019, 15348, 290, 16, 291, 2410, 16, 4593, 286, 225, 88, 76, 73, 1925, 3693, 18, 203, 203, 6355, 203, 521, 1204, 385, 5141, 291, 409, 33771, 291, 18189, 431, 225, 69, 1063, 5849, 3828, 16, 40095, 12499, 1077, 17, 29666, 16, 290, 385, 1740, 409, 2764, 1925, 18, 1238, 643, 1560, 5105, 290, 581, 452, 14082, 290, 544, 643, 42050, 291, 225, 69, 1204, 325, 225, 88, 76, 73, 5809, 4504, 455, 270, 70, 1215, 17877, 267, 18, 409, 1204, 4595, 291, 10679, 346, 225, 88, 76, 73, 14778, 292, 225, 88, 76, 73, 9711, 290, 385, 307, 17, 35378, 291, 13499, 431, 16134, 4095, 72, 4102, 16, 225, 69, 3529, 2260 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
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
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 76, 73, 17531, 16, 290, 225, 88, 76, 73, 1204, 2928, 1837, 225, 88, 76, 73, 3196, 345, 279, 6233, 631, 8213, 1925, 2318, 286, 339, 2387, 18, 1009, 541, 291, 2262, 5755, 548, 1698, 325, 442, 1512, 18, 409, 631, 4700, 643, 3909, 431, 7296, 1397, 33876, 291, 2485, 5452, 18, 203, 203, 10776, 225, 88, 76, 73, 4140, 292, 225, 88, 76, 73, 631, 8213, 1925, 225, 88, 76, 73, 19213, 50, 3838, 286, 1209, 709, 3326, 1227, 326, 1924, 8164, 16, 290, 4642, 286, 9502, 225, 69, 1648, 7913, 292, 2171, 291, 225, 88, 76, 73, 631, 1254, 1757, 14337, 315, 270, 1389, 292, 409, 33771, 827, 357, 3909, 225, 69, 631, 5671, 291, 2494, 2987, 16, 1511, 346, 2976, 4547, 326, 225, 88, 76, 73, 1669, 1180, 23, 87, 290, 1979, 1925, 4547, 18, 203, 203, 829, 225, 88, 76, 73, 543, 3051, 1843, 16, 225, 69, 631, 12817, 377, 17, 273, 17, 21, 1167, 385, 4974, 346, 6478, 10595, 1808, 225, 88, 76, 73, 2928, 18, 3728, 16, 225, 88, 76, 73, 1204, 4774, 286, 1118, 225, 69, 1866, 45976, 7496, 11, 290, 279, 5443, 7057, 573, 504, 2387, 225, 69, 1648, 4531, 286, 1419, 225, 88, 76, 73, 1866, 13130, 8891, 11, 3325, 18, 203, 203, 19818, 7692, 203, 45650, 11729, 15230, 1067, 2518, 16, 2677, 3194, 2341, 34007, 16, 5801, 225, 88, 76, 73, 19213, 50, 1133, 7423, 290, 10547, 18, 203, 25790, 32251, 16, 9399, 278, 11555, 290, 685, 1631, 2763, 8924, 16, 1736, 225, 88, 76, 73, 19213, 50, 291, 6485, 18, 203, 30226, 2515, 876, 16, 29027, 290, 3962, 16, 5801, 225, 88, 76, 73, 19213, 50, 423, 4597, 286, 4589, 18, 203, 32487, 3694, 9383, 16, 9817, 3023, 11430, 16, 5801, 225, 88, 76, 73, 19213, 50, 1133, 8694, 290, 8338, 18, 203, 24420, 453, 11, 2160, 370, 16, 25679, 290, 1928, 17, 15534, 5103, 16, 5801, 225, 88, 76, 73, 19213, 50, 423, 6799, 286, 10584, 18, 203, 14940, 8213, 16, 6176, 292, 8946, 919, 77, 290, 8946, 919, 77, 16, 5801, 225, 88, 76, 73, 19213, 50, 423, 11086, 286, 10584, 18, 203, 25790, 12310, 16, 2764, 4239, 23748, 16, 5801, 225, 88, 76, 73, 19213, 50, 423, 10307, 286, 10584, 18, 203, 4877, 297, 93, 22913, 16, 7944, 16, 5801, 225, 88, 76, 73, 19213, 50, 423, 5755, 286, 3486, 203, 203, 1987, 203, 203, 24420, 1291, 2422, 261, 12180, 286, 6799, 203, 203, 3257, 2477, 4327, 11301, 1622, 203, 203, 31236, 291, 409, 33771, 203, 11705, 3621, 291, 225, 88, 76, 73, 9711, 203, 11705, 361, 12801, 4753, 420, 405, 3621, 291, 225, 88, 76, 73, 9711, 203, 32240, 9011, 291, 225, 88, 76, 73, 9711, 203, 27379, 6297, 3178, 291, 18189, 203, 50, 9334, 203, 58, 16775, 354, 329, 270, 2, 0, 50, 10597, 4488, 1351, 6720, 225, 318, 225, 69, 7797, 292, 1351, 6720, 2307, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 18644, 3676, 4488, 225, 318, 225, 69, 7797, 292, 45237, 2307, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 35839, 505, 14823, 318, 225, 69, 5475, 4725, 291, 225, 88, 76, 73, 2086, 292, 3023, 16, 9467, 2525, 327, 5589, 20061, 1239, 291, 225, 88, 76, 73, 3620, 286, 16473, 9357, 291, 225, 88, 76, 73, 3686, 16, 12407, 23043, 1330, 3568, 18, 601, 385, 641, 17, 1732, 15305, 1548, 291, 3008, 16, 346, 225, 88, 76, 73, 936, 417, 356, 14645, 6097, 1133, 23043, 1330, 3568, 290, 16473, 9357, 18, 203, 203, 521, 1577, 292, 7661, 5442, 28880, 385, 1036, 291, 225, 88, 76, 73, 1946, 88, 76, 3503, 16, 819, 5334, 225, 88, 76, 73, 4725, 318, 3249, 18, 203, 203, 521, 14262, 3023, 26407, 3505, 318, 12538, 5180, 18, 332, 1179, 945, 32209, 318, 568, 2405, 431, 383, 25506, 23106, 3568, 16, 359, 318, 225, 69, 20287, 3524, 5682, 11583, 3505, 383, 12538, 25220, 18, 203, 203, 1987, 203, 203, 13588, 1138, 291, 225, 88, 76, 73, 2086, 292, 3023, 2, 0, 9346, 11578, 4488, 783, 3188, 286, 30, 4327, 332, 7797, 291, 1351, 6720, 2307, 16, 16486, 22725, 203, 17432, 15692, 396, 45, 8682, 923, 873, 225, 69, 6017, 292, 14533, 203, 332, 7797, 291, 4941, 16, 554, 292, 225, 88, 76, 73, 5178, 292, 3260, 7900, 2, 0, 10467, 4861, 8690, 643, 2404, 291, 225, 88, 76, 73, 4321, 292, 225, 88, 76, 73, 23956, 325, 1519, 2382, 3384, 18, 5656, 17, 2378, 3296, 31332, 45731, 275, 428, 5175, 376, 83, 1825, 1378, 4266, 17, 2996, 3463, 346, 225, 69, 1648, 4889, 292, 225, 88, 76, 73, 6158, 16, 517, 225, 88, 76, 73, 8690, 643, 1638, 790, 431, 29547, 292, 47633, 290, 10257, 423, 225, 88, 76, 73, 9867, 31, 2701, 9867, 6941, 7208, 286, 41636, 225, 88, 76, 73, 8690, 18, 203, 203, 15924, 203, 829, 2355, 3384, 16, 225, 69, 10558, 1740, 9550, 41293, 385, 2404, 286, 5173, 326, 225, 88, 76, 73, 5028, 18, 332, 17782, 292, 581, 452, 9867, 5046, 1740, 225, 88, 76, 73, 1851, 10553, 292, 38592, 29494, 396, 42, 57, 14954, 13, 2891, 286, 41636, 225, 88, 76, 73, 10558, 18, 39885, 11872, 30501, 17, 49, 349, 463, 69, 16, 225, 88, 76, 73, 8312, 17, 9813, 292, 15867, 44260, 290, 22881, 326, 393, 57, 14954, 16, 26516, 225, 88, 76, 73, 20867, 326, 225, 88, 76, 73, 5028, 16, 3902, 345, 689, 48138, 3227, 955, 359, 13900, 16, 225, 88, 76, 73, 20963, 292, 8556, 16, 290, 3622, 326, 225, 88, 76, 73, 9867, 371, 449, 2267, 326, 442, 5028, 31, 357, 459, 339, 9590, 1324, 6202, 12156, 16, 290, 408, 459, 7059, 345, 1556, 203, 203, 55, 588, 275, 428, 5175, 376, 83, 4862, 225, 69, 30285, 325, 1188, 1589, 3384, 396, 5834, 385, 3823, 325, 1814, 1589, 13, 2948, 225, 88, 76, 73, 5028, 2777, 359 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1519, 2382, 3384, 18, 409, 2090, 31769, 27420, 5143, 396, 12437, 4130, 13, 35643, 225, 88, 76, 73, 5028, 31, 225, 88, 76, 73, 9867, 18951, 357, 326, 17804, 2507, 277, 225, 88, 76, 73, 2151, 18, 203, 203, 38080, 203, 37, 11022, 2426, 275, 454, 49605, 276, 4551, 16, 596, 385, 8517, 5604, 423, 9483, 286, 8694, 16, 385, 5904, 359, 225, 88, 76, 73, 6944, 292, 225, 88, 76, 73, 4104, 9867, 2839, 16, 225, 88, 76, 73, 5280, 17, 23260, 4970, 326, 5049, 26836, 396, 16226, 44260, 873, 1027, 5905, 448, 287, 389, 29327, 16, 596, 385, 5604, 292, 10637, 423, 7248, 286, 5725, 16, 385, 5904, 359, 225, 88, 76, 73, 6944, 292, 225, 88, 76, 73, 11366, 326, 225, 88, 76, 73, 4321, 290, 26836, 396, 14424, 873, 225, 69, 17782, 292, 9867, 5046, 18, 409, 24169, 3296, 16, 31332, 45731, 275, 428, 5175, 376, 83, 292, 225, 88, 76, 73, 4952, 335, 627, 4771, 292, 13803, 396, 52, 6271, 873, 385, 7303, 3855, 286, 1177, 31, 458, 4619, 3823, 522, 41437, 383, 225, 69, 15005, 291, 1291, 4906, 48765, 325, 1025, 2262, 3384, 18, 203, 203, 2091, 3275, 2827, 3384, 16, 225, 88, 76, 73, 9221, 292, 279, 18089, 1133, 225, 88, 76, 73, 5277, 56, 290, 225, 88, 76, 73, 9867, 24469, 326, 26836, 290, 4691, 396, 54, 25639, 13, 385, 3823, 18, 409, 5046, 6672, 286, 1552, 225, 69, 2013, 6944, 291, 225, 88, 76, 73, 3384, 12561, 5028, 16, 290, 225, 88, 76, 73, 395, 25639, 6672, 286, 3630, 225, 88, 76, 73, 2151, 691, 519, 6231, 6944, 396, 16678, 8765, 286, 339, 31332, 45731, 275, 428, 5175, 376, 83, 13, 1825, 225, 88, 76, 73, 5028, 18, 203, 203, 37, 11022, 2426, 275, 454, 49605, 276, 4551, 385, 5904, 359, 225, 88, 76, 73, 15867, 44260, 6944, 431, 225, 88, 76, 73, 2839, 526, 2090, 3721, 291, 225, 69, 4218, 5028, 325, 1872, 2636, 3486, 18, 1728, 7002, 11886, 326, 225, 88, 76, 73, 16807, 16, 7804, 556, 569, 275, 81, 1636, 37274, 40072, 275, 276, 275, 396, 10250, 385, 225, 88, 76, 73, 15867, 44260, 6944, 291, 225, 88, 76, 73, 5725, 12561, 5028, 873, 25555, 423, 225, 88, 76, 73, 6158, 16, 24059, 292, 689, 80, 482, 292, 13900, 291, 225, 88, 76, 73, 1149, 2995, 290, 49605, 276, 4551, 16, 359, 225, 88, 76, 73, 770, 6944, 16, 2524, 581, 12905, 9, 292, 225, 88, 76, 73, 6158, 18, 203, 203, 37, 2914, 292, 1946, 6941, 9067, 3812, 286, 1177, 16, 290, 225, 88, 76, 73, 31285, 4368, 6339, 2272, 292, 624, 325, 1124, 2262, 18, 7701, 4080, 14046, 643, 13079, 30, 1059, 292, 49605, 276, 4551, 16, 27370, 2167, 4981, 3070, 3186, 275, 16, 395, 11951, 2867, 22428, 275, 335, 5909, 16, 325, 225, 88, 76, 73, 9603, 345, 544, 644, 6449, 286, 3847, 519, 9154, 18422, 291, 23956, 17, 4877, 4906, 48765, 326, 383, 2070, 797, 806, 16, 290, 345, 292, 15867, 44260, 5617, 1221, 39405, 73, 30019, 79, 275, 73, 373, 16, 325, 225, 88, 76, 73, 9603, 345, 458, 20795, 225, 88, 76, 73, 5392, 17, 2996, 2184, 4813, 326, 6941, 18, 15867, 44260, 22881, 8639, 17, 48754, 22693, 3186, 275, 276, 275, 48112, 225, 88, 76, 73, 27164, 292, 49605, 276, 4551, 526, 41437, 290, 8021, 345, 357, 385, 21856, 11530, 16, 22096, 345, 689, 1153, 225, 88, 76, 73, 1172, 797, 806, 16, 479, 225, 88, 76, 73, 6941, 3230, 1060, 16, 286, 2403, 1201, 9218, 16, 286, 3778, 17, 10381, 519, 3407, 2656, 2519, 41323, 49605, 276, 4551, 526, 41437, 16, 225, 88, 76, 73, 31285, 4368, 526, 3196, 5674, 225, 69, 1957, 9867, 6944, 423, 225, 88, 76, 73, 5028, 290, 1736, 5905, 42876, 389, 29327, 359, 225, 88, 76, 73, 1179, 9867, 6944, 18, 203, 203, 3302, 16823, 203, 2091, 1136, 2382, 16, 2701, 6941, 1641, 40, 29327, 16, 13889, 8697, 392, 9923, 10228, 36909, 567, 16, 27650, 351, 1385, 40375, 16, 8609, 466, 36623, 30636, 13432, 23410, 275, 73, 4197, 16, 8639, 17, 25882, 12920, 46394, 570, 15848, 43723, 700, 275, 16, 290, 23842, 5905, 94, 355, 6358, 430, 9376, 15075, 1641, 11314, 326, 225, 88, 76, 73, 5028, 286, 339, 14689, 16, 14156, 345, 225, 88, 76, 73, 19348, 8556, 643, 8348, 31105, 290, 2765, 717, 596, 643, 449, 8861, 286, 6158, 16, 359, 761, 359, 717, 596, 979, 449, 2431, 383, 479, 18, 1456, 279, 9867, 15005, 1708, 325, 225, 88, 76, 73, 1150, 927, 16, 389, 29327, 16, 9923, 10228, 36909, 567, 16, 351, 1385, 40375, 16, 290, 23410, 275, 73, 4197, 1740, 326, 225, 88, 76, 73, 717, 286, 41636, 225, 88, 76, 73, 5028, 18, 46394, 570, 15848, 43723, 700, 275, 290, 430, 9376, 15075, 643, 449, 1552, 383, 225, 88, 76, 73, 15005, 16, 517, 9923, 10228, 36909, 567, 928, 345, 544, 568, 12680, 225, 88, 76, 73, 1015, 326, 225, 69, 41636, 18, 389, 29327, 9911, 325, 225, 88, 76, 73, 5560, 345, 689, 561, 443, 16, 225, 88, 76, 73, 5028, 318, 449, 2158, 1128, 325, 2382, 1519, 4466, 601, 459, 949, 1128, 325, 225, 88, 76, 73, 927, 225, 88, 76, 73, 4952, 335, 627, 717, 371, 2123, 225, 69, 1229, 2947, 1556, 203, 203, 34604, 13831, 4478, 11006, 19762, 16, 225, 88, 76, 73, 1357, 292, 225, 88, 76, 73, 4952, 335, 627, 29028, 326, 6751, 9712, 396, 6809, 49598, 873, 18951, 225, 88, 76, 73, 19348, 8556, 359, 689, 32520, 7837, 3673, 6, 325, 1814, 2382, 16, 3902, 345, 357, 385, 6979, 345, 660, 882, 339, 541, 798, 717, 596, 643, 9430, 286, 6158, 18, 23956, 526, 3650, 385, 8192, 383, 581, 685, 18, 26, 2372, 16, 290, 384, 18, 22, 2372, 717, 643, 8172, 6581, 286, 6158, 31, 2375, 16, 13831, 4478, 11006, 19762, 928, 345, 279, 5082, 368, 20266, 292, 9256, 423, 609, 3317, 703, 9679, 770, 581, 377, 18, 26, 2372, 6581, 12176, 291, 225, 69, 3650, 292, 685, 18, 26, 2372, 18, 203, 203, 55, 588, 275, 428, 5175, 376, 83, 16, 596, 385, 3855, 286, 1419, 225, 88, 76, 73, 5028, 2801, 291, 225, 88 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 76, 73, 11062, 292, 654, 4375, 9686, 16, 4078, 522, 6158, 1846, 291, 225, 88, 76, 73, 927, 291, 7716, 1291, 4906, 48765, 18, 11158, 4130, 3296, 23237, 13831, 4478, 8021, 225, 69, 689, 33491, 437, 6158, 291, 225, 88, 76, 73, 6003, 6, 290, 928, 345, 16, 16474, 286, 225, 88, 76, 73, 9867, 526, 6000, 16, 225, 88, 76, 73, 19348, 8556, 643, 689, 30576, 5069, 2656, 203, 203, 521, 2701, 3435, 24088, 669, 6941, 2740, 225, 69, 5212, 325, 5028, 927, 865, 21387, 345, 658, 5000, 9, 292, 8861, 12176, 644, 449, 8979, 291, 225, 88, 76, 73, 5028, 18, 5502, 286, 225, 88, 76, 73, 5212, 16, 689, 1553, 442, 1977, 3270, 292, 43011, 1355, 16, 225, 88, 76, 73, 4952, 335, 627, 596, 1246, 7576, 290, 4304, 427, 8985, 519, 22404, 292, 442, 2914, 12116, 16, 37232, 290, 24200, 13206, 1556, 409, 5212, 568, 19418, 689, 2652, 290, 2818, 6237, 286, 14183, 225, 88, 76, 73, 8617, 285, 355, 1941, 292, 31332, 45731, 275, 428, 5175, 376, 83, 2995, 290, 357, 1740, 326, 225, 88, 76, 73, 3084, 292, 225, 69, 631, 5028, 689, 5414, 225, 88, 76, 73, 6010, 292, 479, 3506, 5508, 291, 225, 88, 76, 73, 1868, 2656, 13381, 16, 225, 88, 76, 73, 2587, 5439, 3022, 566, 4409, 17, 10467, 583, 4001, 3981, 423, 7780, 292, 29383, 6463, 291, 573, 544, 4184, 29542, 359, 823, 2110, 16, 290, 357, 17762, 279, 5028, 28212, 359, 13728, 345, 689, 13814, 371, 543, 29848, 720, 12176, 1556, 203, 203, 29795, 325, 5028, 927, 16, 45292, 9023, 275, 4753, 1456, 546, 4318, 16, 225, 88, 76, 73, 5604, 292, 14001, 16, 17973, 225, 88, 76, 73, 9867, 6000, 359, 689, 2005, 281, 9838, 6, 290, 928, 345, 225, 88, 76, 73, 4933, 292, 23869, 2818, 29848, 27070, 1194, 225, 88, 76, 73, 29547, 292, 10257, 18, 731, 17973, 225, 88, 76, 73, 9867, 526, 2731, 345, 29542, 385, 1490, 720, 1136, 9, 359, 689, 742, 295, 26951, 2995, 865, 21387, 345, 29542, 385, 1977, 2573, 292, 1291, 4906, 48765, 18, 409, 4958, 4970, 290, 225, 88, 76, 73, 12117, 4804, 292, 4795, 4958, 2198, 16, 1119, 292, 573, 644, 28212, 3201, 1552, 16, 24815, 225, 88, 76, 73, 5028, 359, 689, 15794, 16, 1324, 290, 12156, 6, 291, 225, 69, 6231, 5212, 16, 290, 544, 16224, 225, 88, 76, 73, 689, 13607, 81, 290, 31745, 6783, 6, 291, 573, 225, 88, 76, 73, 3224, 1837, 1128, 18, 203, 203, 15663, 203, 2793, 46730, 2241, 643, 7157, 5812, 326, 3216, 325, 2116, 2382, 16, 517, 5604, 292, 46645, 9434, 21362, 40072, 3186, 275, 3823, 345, 544, 703, 339, 14689, 286, 1583, 2382, 952, 1444, 2241, 423, 629, 29383, 6463, 644, 449, 2162, 652, 2524, 18, 203, 203, 49, 70, 3186, 275, 3823, 225, 88, 76, 73, 37814, 2241, 325, 1583, 2382, 18, 1783, 2241, 5471, 31332, 45731, 275, 428, 5175, 376, 83, 4499, 225, 88, 76, 73, 5028, 346, 17141, 18, 12872, 9, 292, 225, 88, 76, 73, 6158, 16, 1027, 7804, 556, 569, 275, 81, 1636, 37274, 40072, 275, 276, 275, 396, 10250, 644, 39315, 9039, 225, 88, 76, 73, 15867, 44260, 16807, 290, 857, 5583, 359, 279, 4885, 13, 4265, 1361, 346, 1148, 18, 6427, 9, 290, 17062, 9550, 4771, 6944, 10740, 5353, 399, 47531, 18465, 486, 7529, 17, 41, 9970, 4265, 2630, 346, 1025, 18, 9527, 8159, 7710, 1740, 325, 522, 11666, 286, 41636, 16, 389, 29327, 2524, 384, 18, 1878, 9, 292, 225, 88, 76, 73, 6158, 18, 40072, 3186, 275, 928, 345, 23790, 29542, 385, 14852, 18, 7122, 8159, 45731, 275, 428, 5175, 376, 83, 3269, 225, 69, 6912, 6579, 383, 522, 3224, 11703, 16, 28724, 345, 689, 77, 82, 4304, 16, 6132, 290, 13900, 16, 291, 225, 88, 76, 73, 4933, 292, 2818, 29848, 16, 313, 427, 346, 225, 88, 76, 73, 1519, 2382, 6158, 16404, 398, 5612, 291, 530, 2656, 731, 568, 928, 345, 225, 88, 76, 73, 1868, 385, 689, 2063, 11870, 225, 88, 76, 73, 6912, 292, 554, 28365, 658, 1378, 16, 292, 554, 23956, 658, 1378, 23956, 2995, 517, 2655, 689, 88, 76, 73, 6912, 292, 14285, 291, 4304, 290, 15210, 2656, 203, 203, 2856, 16062, 203, 47, 569, 275, 81, 1636, 37274, 40072, 275, 276, 275, 6241, 225, 88, 76, 73, 2241, 31, 3851, 458, 928, 660, 1380, 427, 652, 33966, 16, 458, 568, 6246, 225, 88, 76, 73, 12275, 6783, 345, 385, 8791, 1154, 225, 88, 76, 73, 5028, 18, 1591, 2672, 286, 29542, 16, 458, 928, 345, 225, 88, 76, 73, 41636, 1380, 427, 6438, 357, 16, 359, 761, 359, 23790, 2589, 8390, 18, 9923, 10228, 36909, 567, 16, 2375, 16, 4184, 225, 88, 76, 73, 3131, 29542, 3270, 359, 689, 273, 26564, 10008, 2656, 430, 9376, 15075, 568, 13079, 225, 88, 76, 73, 2241, 290, 928, 345, 225, 88, 76, 73, 9867, 882, 8595, 949, 225, 88, 76, 73, 2669, 286, 225, 88, 76, 73, 31285, 4368, 16, 3851, 458, 928, 345, 225, 88, 76, 73, 4368, 385, 8522, 431, 45731, 275, 428, 5175, 376, 83, 18, 409, 45746, 44, 8021, 345, 29542, 385, 786, 2930, 720, 452, 10924, 290, 45746, 44, 1357, 13831, 4478, 11006, 19762, 13941, 345, 225, 88, 76, 73, 2110, 29542, 1740, 45731, 275, 428, 5175, 376, 83, 526, 34935, 698, 2537, 18, 203, 203, 2598, 225, 69, 2587, 4975, 325, 1946, 2382, 16, 389, 29327, 290, 1560, 609, 6941, 10037, 345, 225, 88, 76, 73, 3131, 2241, 643, 225, 69, 30818, 19525, 31, 325, 225, 88, 76, 73, 1150, 927, 16, 2325, 315, 41817, 814, 4152, 32360, 16, 7398, 359, 225, 69, 8128, 326, 389, 29327, 16, 10511, 279, 5610, 383, 225, 88, 76, 73, 31285, 4368, 6322, 225, 88, 76, 73, 18264, 292, 225, 88, 76, 73, 5028, 325, 225, 88, 76, 73, 9603, 292, 10037, 19348, 10257, 18, 203, 203, 47, 569, 275, 81, 1636, 37274, 40072, 275, 276, 275, 1112, 346, 45731, 275, 428, 5175, 376, 83, 325, 1946, 2382, 31, 12534, 458, 928, 345, 544, 7544, 708, 286, 1651, 2540, 16, 2147, 2151, 16, 290, 12309, 225, 88, 76, 73, 10605, 292, 225, 88, 76, 73, 717 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 16, 290, 458, 928, 345, 225, 88, 76, 73, 717, 644, 8985, 5612, 291, 45731, 275, 428, 5175, 376, 83, 754, 225, 88, 76, 73, 5028, 18, 5458, 5475, 4885, 6941, 16, 3841, 18816, 363, 14037, 22428, 275, 2829, 290, 3109, 89, 4422, 22428, 2106, 567, 1554, 2475, 1812, 16, 6405, 45731, 275, 428, 5175, 376, 83, 526, 6912, 290, 17211, 3937, 950, 18, 203, 203, 829, 225, 69, 5212, 325, 1124, 2382, 16, 225, 88, 76, 73, 5143, 286, 29318, 49024, 396, 11444, 46, 13, 928, 345, 1579, 2818, 14077, 644, 652, 4826, 264, 532, 431, 225, 88, 76, 73, 4060, 1154, 279, 9867, 10868, 325, 1583, 2382, 18, 22012, 326, 225, 88, 76, 73, 2151, 16, 9023, 275, 4753, 1456, 546, 4318, 13010, 442, 16, 3902, 345, 225, 88, 76, 73, 2818, 2274, 385, 4516, 31, 458, 9174, 345, 225, 88, 76, 73, 14077, 643, 1552, 689, 267, 225, 88, 76, 73, 2328, 292, 225, 69, 16373, 827, 629, 1863, 3878, 385, 4835, 18, 2060, 1380, 1033, 345, 629, 39150, 3197, 643, 2578, 803, 7856, 1556, 731, 385, 568, 4293, 292, 225, 88, 76, 73, 3395, 17, 11345, 2155, 526, 5987, 292, 225, 88, 76, 73, 5028, 16, 3902, 345, 357, 689, 583, 353, 282, 12687, 431, 225, 88, 76, 73, 2066, 345, 442, 5028, 1837, 1128, 291, 7934, 290, 37666, 1556, 203, 203, 43004, 3179, 291, 225, 88, 76, 73, 4885, 4952, 335, 627, 2274, 819, 225, 88, 76, 73, 5028, 10037, 345, 1840, 1673, 643, 9174, 291, 1291, 4906, 48765, 2922, 286, 5028, 927, 346, 3080, 23790, 4249, 16, 14156, 345, 544, 5984, 286, 4078, 1579, 10362, 1040, 18, 203, 203, 521, 31285, 4368, 7295, 225, 88, 76, 73, 2241, 325, 2399, 2382, 16, 14209, 345, 45731, 275, 428, 5175, 376, 83, 644, 1825, 225, 88, 76, 73, 5028, 346, 17141, 18, 12872, 9, 292, 225, 88, 76, 73, 6158, 396, 21, 16, 20, 5592, 16, 38003, 10362, 859, 9023, 275, 4753, 1456, 546, 4318, 928, 345, 45731, 275, 428, 5175, 376, 83, 703, 339, 30296, 291, 326, 522, 631, 3463, 325, 2116, 2429, 3384, 18, 203, 203, 55, 588, 275, 428, 5175, 376, 83, 385, 30296, 291, 383, 225, 69, 7742, 291, 1291, 4906, 48765, 325, 2116, 2429, 31, 1952, 4958, 2828, 643, 1552, 326, 225, 88, 76, 73, 5560, 18, 731, 928, 345, 522, 307, 17, 18636, 4544, 3838, 689, 36448, 16, 9886, 290, 2848, 2995, 290, 458, 1740, 326, 279, 991, 286, 689, 25357, 664, 4466, 12491, 83, 16945, 6, 291, 6287, 286, 2818, 4902, 2524, 431, 225, 88, 76, 73, 1868, 18, 45731, 275, 428, 5175, 376, 83, 568, 959, 279, 1263, 11257, 383, 522, 37554, 16, 3902, 345, 458, 703, 917, 291, 7071, 279, 714, 36194, 5313, 286, 42536, 39885, 411, 818, 275, 6358, 16, 596, 385, 3296, 292, 23956, 17, 4877, 4906, 48765, 423, 7884, 1535, 961, 269, 16331, 431, 45731, 275, 428, 5175, 376, 83, 291, 7248, 31, 819, 411, 818, 275, 6358, 385, 269, 16331, 16, 458, 1981, 698, 27296, 290, 385, 17728, 292, 13182, 291, 16573, 567, 18, 45731, 275, 428, 5175, 376, 83, 928, 345, 458, 2421, 225, 88, 76, 73, 714, 36194, 5313, 286, 339, 4650, 286, 8572, 431, 225, 88, 76, 73, 991, 292, 3384, 18, 203, 203, 1987, 203, 203, 15328, 83, 203, 10467, 4861, 5028, 203, 10467, 4861, 8690, 291, 225, 88, 76, 73, 4321, 292, 225, 88, 76, 73, 23956, 2, 0, 50, 349, 445, 89, 16954, 9801, 396, 4219, 2209, 16566, 696, 1583, 2698, 3868, 13, 385, 279, 3550, 2411, 291, 36836, 8049, 16, 290, 31862, 18, 731, 504, 3055, 3025, 29313, 292, 4908, 28180, 6014, 664, 16, 8375, 78, 1181, 16, 8018, 6577, 16, 6315, 72, 287, 16, 14490, 76, 487, 8968, 77, 16, 2790, 76, 8676, 261, 290, 2228, 272, 417, 19163, 321, 18, 731, 504, 3055, 3457, 326, 6014, 664, 10430, 368, 4764, 77, 16, 37640, 9497, 78, 16, 34130, 2011, 77, 18, 731, 504, 568, 15498, 12556, 291, 2335, 361, 402, 69, 1343, 558, 270, 16, 2228, 272, 417, 19163, 321, 290, 27974, 7524, 11931, 18, 9365, 291, 522, 2269, 16, 458, 5782, 1560, 6014, 359, 761, 18, 203, 203, 15731, 203, 50, 349, 445, 89, 16954, 9801, 385, 3157, 3498, 2209, 16566, 291, 38242, 396, 16678, 1440, 291, 16016, 859, 1456, 225, 88, 76, 73, 2184, 292, 1519, 458, 2154, 225, 69, 2220, 7063, 325, 3232, 18, 1099, 279, 18417, 18220, 291, 528, 887, 46810, 2296, 16, 458, 1825, 1579, 18095, 1133, 14123, 290, 11577, 18, 16954, 9801, 2970, 225, 69, 2151, 1616, 291, 12896, 326, 2484, 12594, 4504, 5928, 17325, 382, 16, 917, 1584, 225, 88, 76, 73, 45862, 3350, 14664, 5292, 431, 3550, 2090, 6377, 18, 409, 4738, 48929, 282, 950, 286, 15123, 290, 458, 3230, 286, 39369, 291, 11577, 18, 731, 2415, 10451, 2196, 225, 88, 76, 73, 745, 11988, 1840, 6146, 291, 36836, 8049, 18, 203, 203, 2856, 22762, 16, 43028, 385, 9911, 225, 88, 76, 73, 1627, 3162, 292, 3551, 9061, 31, 13876, 37285, 479, 36836, 8049, 290, 3596, 18, 601, 385, 442, 3506, 7053, 345, 17336, 32998, 445, 89, 16954, 9801, 286, 3630, 361, 4905, 10364, 291, 15360, 16, 650, 458, 1736, 1063, 49999, 465, 291, 30287, 16, 286, 744, 3596, 326, 33409, 10411, 426, 18, 13926, 291, 225, 88, 76, 73, 962, 596, 568, 16624, 643, 378, 6446, 26759, 8400, 25981, 341, 27850, 16, 1099, 285, 5122, 16, 3833, 8121, 30817, 16, 12781, 274, 46111, 290, 1708, 4342, 299, 755, 1618, 76, 1384, 18, 1979, 361, 4905, 10364, 526, 2371, 16, 16954, 9801, 2406, 16097, 346, 378, 6446, 26759, 8400, 25981, 341, 27850, 18, 203, 203, 50, 349, 445, 89, 16954, 9801, 504, 3055, 325, 479, 5939, 43500, 466, 886, 292, 10679, 87, 696, 42088, 16, 32796, 16, 22762, 696, 359, 761, 359, 1246, 18, 1728, 269, 73, 10841, 264, 14527, 225, 88, 76, 73, 6240, 12142, 292, 522, 17670, 2986, 969, 18, 1728, 11476, 4320, 371, 1866, 6262, 277, 10044, 10317, 1238, 318, 225, 69, 4891, 17, 41296, 2692, 16, 225, 69, 2413, 19247, 326, 2219, 7859, 16, 13986, 9230, 292, 3769, 16, 10599, 35034, 16, 7535, 292, 42895, 969, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5004, 326, 12257, 318, 568, 12836, 291, 522, 19411, 18, 731, 504, 286, 522, 3410, 3538, 11169, 290, 2116, 9618, 292, 1700, 1806, 18, 731, 5782, 225, 88, 76, 73, 1782, 1129, 562, 356, 2166, 396, 18988, 873, 1653, 325, 5839, 317, 695, 89, 8018, 404, 317, 766, 328, 526, 5939, 1700, 1806, 1104, 89, 453, 3024, 43608, 18, 203, 203, 2177, 3904, 325, 1583, 2698, 3868, 18, 731, 318, 11181, 431, 797, 10851, 16, 1900, 27908, 1012, 284, 290, 21934, 781, 523, 593, 14920, 16, 290, 4159, 16605, 2063, 88, 2512, 50138, 31456, 396, 23622, 6822, 27566, 16, 2411, 16, 290, 2677, 409, 6320, 292, 3350, 1782, 11430, 859, 1728, 3564, 14714, 480, 80, 1181, 644, 3904, 291, 6485, 18, 1728, 33854, 16, 430, 4478, 428, 893, 14920, 478, 9774, 225, 385, 3179, 291, 2209, 3486, 18, 1728, 4159, 17, 77, 82, 17, 7454, 16, 1900, 319, 4448, 16954, 9801, 318, 279, 18417, 9850, 22240, 16, 290, 385, 42542, 346, 225, 88, 76, 73, 13817, 3662, 781, 642, 3325, 291, 2489, 18, 203, 203, 2428, 26672, 522, 2420, 1235, 22766, 16, 279, 2764, 10143, 292, 522, 4038, 7188, 4738, 16, 332, 2119, 269, 332, 2119, 396, 14646, 873, 385, 2740, 325, 2399, 2209, 2451, 18, 731, 644, 2406, 325, 225, 88, 76, 73, 10143, 346, 522, 22032, 16, 6315, 2435, 321, 50138, 31456, 18, 409, 1184, 318, 1712, 359, 2339, 290, 314, 291, 2764, 18, 203, 203, 30366, 203, 28649, 9516, 203, 10187, 622, 13935, 396, 28149, 13, 203, 35022, 1286, 361, 18344, 396, 28298, 13, 203, 10430, 317, 6358, 261, 396, 28298, 13, 203, 39342, 11576, 284, 396, 28298, 13, 203, 19294, 72, 287, 396, 27573, 13, 203, 61, 1021, 26188, 396, 26953, 13, 203, 5634, 261, 17325, 356, 8214, 3192, 396, 26798, 13, 203, 55, 18933, 1181, 396, 26798, 13, 203, 29072, 6577, 396, 25759, 13, 203, 2228, 272, 417, 19163, 321, 396, 24743, 13, 6171, 14490, 76, 487, 8968, 77, 396, 24004, 13, 203, 16931, 501, 267, 396, 17518, 13, 203, 30000, 34699, 7402, 396, 23154, 13, 203, 2790, 76, 8676, 261, 396, 22711, 13, 203, 478, 45468, 7040, 2812, 11576, 284, 396, 22711, 13, 203, 2335, 1294, 6775, 1780, 396, 22324, 13, 203, 421, 14788, 9923, 319, 7138, 387, 76, 396, 21834, 13, 203, 556, 20132, 448, 396, 21202, 13, 203, 17970, 203, 2407, 622, 13935, 396, 28149, 13, 396, 40422, 3962, 13, 203, 1129, 562, 356, 2166, 396, 18988, 13, 203, 3933, 24554, 5246, 319, 5521, 448, 396, 17308, 13, 203, 13114, 2518, 4568, 261, 396, 15786, 13, 203, 1294, 49116, 16605, 261, 30, 7212, 477, 21227, 396, 26446, 578, 19, 7601, 13, 203, 203, 15603, 203, 203, 28814, 578, 6924, 203, 23737, 355, 8888, 2105, 284, 423, 225, 88, 76, 73, 7662, 4880, 5029, 16, 48015, 18, 292, 2699, 19057, 203, 13656, 368, 3971, 317, 16954, 9801, 13423, 423, 7662, 35314, 21438, 41761, 15014, 317, 203, 38, 570, 76, 18946, 361, 3038, 593, 21438, 41761, 957, 469, 4568, 203, 38, 4905, 23046, 1428, 8888, 2105, 284, 203, 6123, 769, 69, 8888, 2105, 284, 203, 203, 15963, 6924, 203, 7248, 30, 13089, 293, 49249, 69, 42542, 431, 6741, 290, 14739, 4339, 292, 3350, 326, 522, 689, 10896, 21660, 8781, 11869, 286, 3550, 20416, 6, 203, 8973, 30, 2090, 6741, 4385, 326, 3829, 3440, 6741, 292, 225, 69, 4136, 696, 1129, 562, 356, 2166, 203, 11153, 30, 6741, 14563, 3829, 14290, 2539, 4385, 16, 14490, 76, 487, 8968, 77, 396, 23342, 13, 203, 48794, 32631, 4385, 326, 3829, 14290, 2539, 30, 14490, 76, 487, 8968, 77, 396, 23342, 13, 203, 48794, 32631, 4385, 326, 3829, 14290, 2539, 30, 2228, 272, 417, 19163, 321, 396, 24004, 13, 6171, 6741, 2107, 4385, 326, 3829, 14290, 2539, 396, 4193, 1294, 6775, 1780, 13, 203, 203, 1987, 24405, 25981, 362, 396, 8766, 873, 452, 17, 10291, 9518, 431, 5081, 593, 14920, 16954, 9801, 18, 203, 203, 3257, 2477, 6171, 203, 50, 349, 445, 89, 16954, 9801, 5437, 383, 14865, 28505, 203, 203, 33341, 4686, 203, 10978, 5850, 203, 38, 1423, 5909, 17, 11345, 6146, 203, 5013, 423, 38242, 203, 38, 1423, 5909, 34057, 203, 38, 1423, 5909, 6146, 203, 16610, 4062, 48550, 203, 15963, 14563, 6894, 8934, 203, 38, 1423, 274, 6741, 49024, 11, 3693, 4385, 8934, 203, 16610, 25002, 26680, 203, 44, 36095, 17, 11345, 1782, 10488, 203, 30745, 80, 43379, 48550, 203, 825, 88, 76, 17, 4577, 14667, 43379, 6146, 203, 825, 88, 76, 17, 4577, 3550, 34565, 1131, 290, 47063, 203, 825, 88, 76, 17, 4577, 3550, 1782, 10488, 203, 825, 88, 76, 17, 4577, 14667, 43379, 4062, 6146, 203, 14173, 303, 1131, 423, 2699, 19057, 203, 28649, 18009, 423, 30287, 203, 825, 88, 76, 17, 4577, 3550, 34057, 203, 15963, 10488, 423, 30287, 203, 17970, 4214, 1782, 1825, 225, 88, 76, 73, 3829, 1466, 5856, 23666, 6741, 2090, 6741, 4385, 203, 17069, 366, 596, 1825, 225, 88, 76, 73, 3829, 1466, 5856, 23666, 6741, 292, 225, 69, 4136, 2090, 6741, 4385, 203, 825, 88, 76, 17, 4577, 3550, 48550, 2, 0, 27696, 25099, 7472, 396, 3640, 3538, 2636, 11995, 13, 318, 279, 5070, 4443, 14670, 16, 2913, 42578, 16048, 16, 2411, 290, 28790, 18, 557, 5725, 458, 22652, 670, 2154, 1712, 359, 225, 88, 76, 73, 689, 13064, 2156, 36217, 2995, 573, 10102, 3119, 286, 225, 88, 76, 73, 43961, 311, 728, 2067, 292, 225, 88, 76, 73, 2900, 3998, 6984, 11041, 332, 8008, 1645, 2156, 961, 19538, 18, 7472, 318, 225, 88, 76, 73, 28790, 292, 225, 88, 76, 73, 1866, 27038, 17084, 11, 2970, 14670, 3053, 1056, 16, 290, 279, 2411, 325, 225, 88, 76, 73, 3508, 292, 18351, 14128, 18, 203, 203, 13064, 2156, 11005, 203, 203, 32801, 644, 50118, 225, 88, 76, 73, 10824, 292, 225, 88, 76, 73, 5070, 5425, 526, 2536, 10644, 326, 629, 595, 981, 458, 290, 1063, 5911, 14670, 16, 1900, 10560, 14869, 16, 5350, 431, 225, 69, 962, 292, 1583, 785, 17, 406, 11997, 16, 22652, 225, 69, 1004, 1514, 34903, 11005, 286, 11940, 225, 88, 76, 73, 1637, 18, 409, 11005, 1837, 1128, 1689, 17148, 325, 2116, 1589, 5725, 16, 819, 4093, 225, 69, 602, 292, 3247, 18, 1456 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 225, 69, 7523, 292, 2836, 225, 88, 76, 73, 11005, 385, 225, 88, 76, 73, 23776, 34903, 11005, 286, 225, 69, 18351, 17780, 383, 225, 88, 76, 73, 595, 16, 225, 69, 1004, 1514, 573, 2404, 326, 1579, 806, 18, 332, 4543, 385, 2498, 286, 225, 88, 76, 73, 4183, 431, 7472, 517, 3946, 3305, 3091, 10393, 4544, 345, 786, 24871, 12544, 385, 33983, 18, 8035, 225, 88, 76, 73, 3900, 292, 379, 16303, 7446, 16, 225, 88, 76, 73, 4927, 6497, 40001, 438, 326, 1579, 806, 345, 225, 88, 76, 73, 18351, 544, 644, 2194, 325, 225, 88, 76, 73, 11005, 385, 1248, 1240, 286, 339, 225, 88, 76, 73, 1645, 2156, 18, 7472, 385, 17762, 325, 225, 88, 76, 73, 4099, 2239, 1474, 11785, 1167, 30, 689, 441, 3461, 985, 225, 69, 18351, 292, 225, 88, 76, 73, 12413, 345, 225, 88, 76, 73, 1645, 2156, 385, 573, 16, 313, 688, 16, 385, 2313, 81, 941, 18, 601, 385, 225, 69, 940, 4762, 909, 2656, 1563, 1108, 17186, 345, 225, 88, 76, 73, 18351, 385, 225, 69, 1240, 2025, 5838, 1740, 225, 88, 76, 73, 11846, 3033, 16, 29079, 291, 15360, 431, 225, 88, 76, 73, 5138, 5070, 3062, 7044, 18, 16481, 519, 45997, 17336, 17498, 431, 225, 88, 76, 73, 2155, 290, 225, 88, 76, 73, 5138, 5070, 8220, 18, 601, 385, 10102, 4350, 345, 225, 88, 76, 73, 1645, 2156, 385, 449, 827, 357, 644, 652, 12589, 18, 557, 3384, 225, 88, 76, 73, 13294, 5425, 6339, 5538, 326, 225, 69, 16404, 2247, 326, 225, 88, 76, 73, 2970, 4959, 2913, 18, 409, 2792, 18787, 1128, 292, 225, 88, 76, 73, 1645, 2156, 385, 5476, 291, 2698, 292, 345, 602, 18, 203, 203, 21761, 42578, 23848, 203, 20560, 6890, 290, 4988, 7472, 385, 3274, 4246, 326, 225, 88, 76, 73, 4720, 10206, 292, 383, 2070, 591, 2913, 91, 264, 6804, 291, 225, 88, 76, 73, 29287, 7304, 18, 1783, 8521, 2765, 225, 88, 76, 73, 8091, 41610, 1323, 556, 3746, 1286, 82, 34017, 16, 225, 88, 76, 73, 1727, 10590, 45361, 16, 225, 88, 76, 73, 8926, 33440, 16, 290, 225, 88, 76, 73, 23417, 4538, 694, 18, 409, 7641, 10076, 225, 69, 6897, 3208, 292, 591, 88, 76, 3503, 3706, 3873, 290, 318, 915, 225, 69, 9911, 6947, 2913, 42578, 18, 3531, 292, 803, 32723, 6804, 2759, 291, 21706, 761, 3785, 225, 88, 76, 73, 3944, 8264, 326, 15371, 34903, 14128, 18, 557, 4589, 458, 1825, 225, 88, 76, 73, 453, 62, 44553, 12898, 45047, 292, 225, 88, 76, 73, 4575, 3325, 326, 522, 1382, 286, 18351, 11662, 18, 7472, 526, 1734, 698, 225, 88, 76, 73, 2853, 2067, 290, 21706, 292, 2913, 91, 264, 6804, 318, 2750, 961, 11146, 431, 225, 88, 76, 73, 5070, 21116, 30800, 4778, 326, 631, 18497, 292, 47843, 702, 11352, 326, 13294, 18, 409, 5070, 21116, 30800, 4778, 568, 5674, 225, 88, 76, 73, 6488, 7702, 423, 1060, 225, 88, 76, 73, 1866, 765, 11, 1645, 2156, 2067, 18, 203, 203, 829, 2494, 3384, 7472, 385, 2912, 291, 225, 88, 76, 73, 5070, 2090, 25706, 4680, 526, 10206, 290, 4720, 5949, 35090, 292, 225, 88, 76, 73, 591, 88, 76, 3503, 5939, 5070, 2913, 42578, 16, 378, 9031, 55, 48461, 1858, 1758, 4457, 12398, 290, 225, 88, 76, 73, 13294, 4680, 526, 10206, 292, 225, 88, 76, 73, 23417, 374, 2509, 1473, 1858, 45354, 65, 1689, 364, 19528, 9131, 16, 1383, 412, 16, 291, 2209, 1708, 345, 602, 18, 203, 203, 11110, 203, 27696, 7472, 318, 225, 88, 76, 73, 2411, 292, 797, 2929, 325, 225, 88, 76, 73, 3508, 292, 18351, 14128, 30, 48199, 42433, 291, 6758, 13294, 290, 36217, 12957, 30, 374, 264, 6804, 291, 6836, 13294, 18, 731, 318, 279, 3577, 5103, 326, 1579, 11005, 10395, 290, 5211, 18, 203, 203, 29360, 14670, 776, 17413, 203, 5733, 3384, 16, 7472, 23256, 225, 69, 1056, 292, 1249, 13357, 2389, 776, 17413, 286, 11401, 11997, 2970, 325, 225, 88, 76, 73, 4017, 18, 409, 1056, 504, 652, 8367, 431, 11005, 11023, 291, 225, 88, 76, 73, 1727, 16, 1063, 5911, 290, 3610, 18, 203, 521, 1056, 13147, 2971, 225, 88, 76, 73, 1866, 72, 3776, 529, 405, 7143, 6229, 9098, 11146, 431, 1727, 8220, 17876, 1154, 2107, 2446, 3299, 286, 28590, 519, 6889, 17022, 18, 1997, 6523, 16, 357, 2912, 225, 88, 76, 73, 1750, 292, 776, 17413, 7548, 290, 30139, 286, 3578, 25442, 225, 88, 76, 73, 24951, 8492, 292, 1928, 17, 2142, 15100, 11997, 325, 225, 88, 76, 73, 4017, 292, 225, 88, 76, 73, 8399, 16, 290, 225, 88, 76, 73, 787, 292, 31069, 290, 11628, 12656, 43008, 465, 18, 203, 203, 1987, 203, 203, 3257, 2477, 21246, 38324, 15892, 19003, 18, 40928, 18, 3735, 19, 19003, 19, 2253, 4979, 12979, 1996, 45971, 5959, 19, 32440, 15892, 21519, 18, 72, 437, 9747, 37516, 18, 1633, 18, 893, 19, 9301, 4508, 18, 31151, 203, 31129, 15892, 21519, 18, 594, 2379, 322, 1261, 18, 3735, 19, 11385, 614, 19, 43522, 19, 7717, 29360, 40, 992, 2253, 4979, 25, 18, 1485, 38071, 203, 38324, 15892, 19003, 18, 40928, 18, 3735, 19, 19003, 19, 10427, 1537, 11819, 25, 2173, 7836, 19, 32440, 15892, 21519, 18, 72, 437, 9747, 18, 1633, 18, 893, 19, 15794, 67, 43522, 19, 14659, 18, 6779, 35, 14659, 33, 23, 1563, 38324, 15892, 19003, 18, 40928, 18, 3735, 19, 19003, 19, 10427, 17633, 27, 47273, 23764, 19, 32440, 15892, 21519, 18, 40575, 2436, 72, 992, 18, 1633, 19, 24961, 7116, 18, 2751, 35, 2490, 13870, 33, 16840, 10, 15310, 33, 43522, 203, 31129, 15892, 21519, 18, 25126, 18, 1633, 18, 893, 19, 71, 9283, 1739, 552, 19, 16764, 19, 20, 16, 3859, 27, 5858, 16, 3732, 1758, 8285, 8285, 17, 1791, 2419, 27, 4979, 16, 564, 18, 31151, 203, 203, 5962, 2155, 21246, 203, 24662, 4686, 203, 6004, 717, 203, 16745, 38359, 203, 16745, 1928, 17, 15534, 6146, 203, 16745, 19669, 11997, 203, 15311, 292, 2420, 5071, 396, 14899, 717, 13, 2, 0, 44, 5102, 18863, 385, 225, 69, 2977, 17, 76, 34672, 9980, 18029, 2913, 16, 290, 1708, 5636, 807, 16, 12989, 225, 88, 76, 73, 26346, 2913 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 13057, 32564, 2387, 291, 29803, 291, 36332, 18, 225, 1236, 385, 5996, 291, 29859, 326, 225, 88, 76, 73, 3194, 19926, 28783, 292, 28675, 1180, 1758, 8612, 290, 1708, 3220, 359, 225, 69, 2803, 2913, 18, 225, 18863, 385, 3168, 291, 22163, 16, 15125, 669, 286, 225, 88, 76, 73, 1565, 13057, 32564, 290, 633, 3529, 26346, 4194, 18, 409, 2913, 385, 44759, 291, 29950, 291, 16566, 18, 203, 203, 11189, 290, 10646, 203, 521, 10404, 2237, 3673, 13057, 32564, 385, 2387, 359, 23899, 1911, 18, 7988, 291, 519, 5280, 81, 420, 48292, 383, 36332, 431, 9763, 9580, 954, 23327, 326, 29950, 26346, 4471, 18, 1236, 385, 5292, 325, 384, 2429, 29225, 290, 3500, 291, 2209, 29803, 18, 1236, 11628, 225, 290, 2836, 290, 385, 225, 291, 4980, 16, 225, 16541, 290, 225, 7523, 18, 409, 2913, 385, 47392, 359, 225, 69, 685, 17, 81, 9084, 2237, 3673, 290, 633, 3866, 1070, 3957, 732, 4108, 30679, 13984, 10404, 2396, 8828, 685, 1996, 10974, 29901, 290, 10675, 225, 69, 2013, 9980, 42672, 18, 203, 203, 3532, 28602, 26346, 203, 31263, 32564, 385, 5292, 326, 40650, 954, 26781, 292, 3866, 1070, 16, 4214, 3529, 13057, 32564, 644, 3077, 652, 2970, 1689, 34674, 291, 225, 88, 76, 73, 4746, 291, 2355, 29225, 18, 1236, 385, 6581, 325, 1519, 2209, 29803, 383, 640, 2212, 526, 16, 29950, 291, 225, 88, 76, 73, 9632, 292, 13475, 361, 18, 421, 49318, 292, 345, 2603, 18, 203, 203, 21094, 8220, 203, 203, 12808, 19926, 28783, 203, 829, 29859, 16, 225, 88, 76, 73, 49850, 643, 6322, 225, 69, 5648, 11662, 12656, 326, 225, 88, 76, 73, 28675, 3194, 19926, 28783, 16, 290, 3285, 13057, 32564, 20989, 12160, 18, 1236, 385, 5996, 325, 848, 2698, 29859, 290, 11033, 326, 11662, 16, 31920, 359, 33173, 18863, 325, 2272, 2355, 28675, 18, 203, 27696, 4426, 16596, 428, 6362, 385, 4265, 291, 5464, 292, 225, 88, 76, 73, 28675, 3194, 19926, 28783, 16, 573, 9870, 286, 2124, 225, 88, 76, 73, 2217, 26815, 2726, 5110, 9131, 16, 225, 88, 76, 73, 4831, 12571, 1133, 34999, 290, 3522, 526, 7716, 1885, 5144, 16, 8917, 272, 26768, 4404, 18, 16952, 4528, 26680, 6624, 345, 660, 882, 339, 279, 5255, 30697, 7304, 16, 290, 345, 691, 225, 88, 76, 73, 5594, 6940, 292, 4746, 5919, 357, 643, 9445, 16, 1496, 286, 225, 88, 76, 73, 2217, 26815, 431, 4831, 1380, 339, 1634, 18, 9302, 1364, 9317, 38179, 11877, 296, 3676, 644, 13652, 532, 5110, 9131, 291, 33844, 16, 357, 644, 652, 225, 69, 2648, 5557, 286, 225, 88, 76, 73, 2217, 18, 428, 6362, 23333, 225, 88, 76, 73, 11033, 266, 33155, 33173, 30407, 16, 290, 346, 950, 1981, 18863, 16, 23333, 431, 9803, 6949, 17131, 46622, 18, 33173, 2915, 9372, 5642, 2709, 5636, 290, 10261, 225, 88, 76, 73, 18029, 359, 1856, 359, 2203, 12009, 82, 18, 203, 203, 10608, 4396, 19298, 17, 711, 17, 8711, 4746, 16, 225, 88, 76, 73, 18029, 15412, 325, 18, 34387, 18863, 286, 4357, 383, 8925, 14360, 4254, 16, 30407, 5642, 325, 225, 69, 2314, 225, 754, 225, 88, 76, 73, 4517, 32199, 10805, 16, 11999, 633, 4357, 17759, 383, 12313, 73, 4628, 5660, 18, 6598, 28379, 2897, 10849, 3754, 431, 266, 2133, 46515, 225, 88, 76, 73, 42933, 292, 8917, 272, 26768, 4404, 290, 34999, 16, 517, 713, 322, 8278, 644, 10963, 286, 949, 1914, 16, 346, 30407, 7881, 225, 88, 76, 73, 5935, 13482, 18, 1507, 685, 2355, 16, 225, 88, 76, 73, 1361, 17, 77, 82, 17, 10391, 387, 292, 30407, 16, 8677, 31950, 2694, 3032, 16, 1837, 225, 69, 2839, 3620, 286, 5430, 225, 88, 76, 73, 26815, 18, 2519, 1814, 1589, 16, 1597, 959, 3174, 3360, 16, 544, 4872, 519, 5935, 39620, 383, 19546, 8253, 452, 11, 3538, 6, 50, 18, 225, 319, 45833, 423, 4993, 40006, 16, 713, 322, 8278, 290, 31345, 16, 544, 3557, 785, 18, 15717, 18975, 203, 521, 18029, 4415, 286, 225, 88, 76, 73, 3261, 291, 22137, 28379, 290, 385, 761, 20290, 31, 428, 6362, 385, 26732, 282, 16, 2694, 3032, 385, 10224, 286, 9939, 18, 409, 22545, 292, 7716, 3522, 290, 34999, 318, 1080, 4673, 346, 225, 88, 76, 73, 4590, 292, 1059, 4737, 346, 225, 88, 76, 73, 18029, 31, 10423, 18863, 9069, 325, 225, 88, 76, 73, 7716, 5330, 292, 8917, 272, 26768, 4404, 318, 3249, 326, 225, 88, 76, 73, 2913, 18, 203, 203, 55, 25148, 807, 383, 28872, 203, 521, 18863, 2897, 786, 2314, 473, 3745, 277, 1310, 819, 633, 2877, 423, 225, 88, 76, 73, 19926, 18, 1236, 385, 9343, 359, 225, 69, 5636, 807, 291, 28872, 22189, 423, 19976, 16, 2613, 527, 1535, 225, 88, 76, 73, 595, 292, 633, 2243, 14812, 18, 203, 203, 9692, 31469, 203, 44345, 385, 3168, 286, 389, 14395, 291, 2827, 22163, 18, 203, 203, 32014, 203, 63, 63, 22720, 30, 54, 8644, 18863, 18, 34555, 96, 13960, 96, 3206, 96, 44345, 32195, 87, 38253, 16, 395, 8644, 18863, 1227, 286, 225, 88, 76, 73, 1502, 291, 36332, 20294, 65, 203, 521, 21556, 1734, 12656, 16, 2387, 326, 225, 88, 76, 73, 3194, 2090, 31196, 28783, 396, 39730, 1180, 40323, 873, 11395, 798, 292, 225, 88, 76, 73, 2134, 292, 18863, 16, 359, 761, 359, 2158, 633, 1565, 18, 395, 8644, 18863, 385, 23333, 431, 5358, 27262, 5040, 290, 1837, 641, 291, 225, 88, 76, 73, 18863, 44984, 423, 18010, 286, 18189, 18, 1236, 318, 915, 325, 7428, 3385, 383, 36332, 18, 203, 203, 8997, 39157, 5138, 4666, 43448, 16, 5292, 291, 17003, 290, 12902, 16, 427, 568, 33165, 225, 88, 76, 73, 1565, 16, 359, 504, 8009, 38673, 18863, 18, 4327, 361, 14787, 1563, 45820, 292, 225, 69, 24332, 286, 225, 88, 76, 73, 30697, 7304, 1154, 28675, 1180, 8612, 291, 378, 18, 49, 18, 8521, 1392, 2282, 2049, 352, 290, 1392, 44345, 352, 11, 9098, 431, 9803, 4426, 16596, 428, 6362, 16, 291, 797, 12907, 16, 3023, 28780, 31, 1344, 1184, 16492, 377, 954, 16492, 384, 203, 203, 1987, 203, 203, 3257, 2477, 6286, 203, 1758, 9946, 8521, 203, 3268, 13390, 11662, 12259, 203, 38245, 2387, 291, 36332, 203, 12841, 3545, 12259, 292, 225, 88, 76, 73 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5138, 8220, 203, 16992, 28745, 17, 7354, 30679, 8521, 292, 225, 88, 76, 73, 1851, 6248, 2, 0, 49886, 4488, 318, 225, 69, 7797, 292, 27768, 10175, 21622, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 28817, 4517, 2822, 396, 3640, 1025, 2382, 11995, 13, 318, 279, 2764, 2677, 1968, 12796, 596, 2533, 359, 225, 69, 22902, 18, 17372, 291, 18706, 17, 296, 17, 29735, 16, 2307, 21446, 16, 458, 2533, 291, 225, 88, 76, 73, 7202, 3556, 1133, 10201, 290, 7196, 326, 2699, 29858, 7545, 35951, 290, 26461, 2086, 16, 1482, 4093, 7070, 5717, 10402, 18, 203, 203, 14137, 2822, 1708, 2533, 1928, 17, 36432, 2746, 326, 21462, 4513, 6300, 3845, 13862, 4517, 2822, 18, 731, 1981, 325, 286, 1620, 4547, 28263, 6086, 292, 21462, 4513, 16, 4721, 225, 88, 76, 73, 2595, 819, 35537, 18, 1728, 609, 3845, 318, 2677, 3994, 9939, 18508, 4517, 2822, 18, 12322, 4517, 2822, 396, 287, 292, 3008, 13, 318, 10529, 6086, 383, 21446, 11366, 526, 4367, 11197, 393, 18, 39, 18, 203, 203, 3257, 2477, 9664, 834, 20919, 21462, 4513, 7202, 3586, 19098, 21958, 203, 203, 24662, 4686, 203, 6004, 717, 203, 17869, 423, 18706, 17, 296, 17, 29735, 203, 32210, 423, 2307, 21446, 203, 9327, 9038, 203, 11693, 29858, 7545, 35951, 393, 18, 39, 18, 1865, 203, 27355, 1978, 2086, 332, 18, 42, 18, 39, 18, 1865, 203, 43, 775, 4513, 393, 18, 39, 18, 1865, 203, 43, 775, 4513, 393, 18, 39, 18, 7403, 203, 9327, 7202, 3556, 1865, 203, 15684, 2746, 32779, 203, 9327, 2746, 7403, 2, 0, 7890, 22336, 768, 277, 20581, 3157, 2382, 1519, 16, 9644, 13, 318, 225, 69, 18524, 2946, 423, 3671, 18, 1236, 385, 6081, 431, 393, 19393, 225, 88, 76, 73, 3525, 292, 13322, 4622, 11950, 396, 59, 17103, 13, 291, 5452, 18, 203, 203, 7890, 11904, 291, 225, 88, 76, 73, 5134, 526, 2107, 25194, 6263, 291, 5755, 290, 2862, 18, 203, 203, 4290, 385, 291, 225, 88, 76, 73, 393, 19393, 5051, 452, 10836, 6825, 1241, 423, 2494, 5452, 286, 2494, 4988, 18, 203, 203, 4290, 6892, 225, 88, 76, 73, 22042, 2505, 326, 225, 88, 76, 73, 374, 17103, 3525, 291, 225, 88, 76, 73, 5134, 526, 1343, 17328, 685, 18, 23, 6263, 291, 5755, 16, 5755, 2107, 10456, 10836, 6263, 290, 5134, 526, 4497, 25194, 6263, 291, 5725, 18, 203, 203, 7890, 3846, 13623, 17, 406, 286, 39106, 363, 6713, 14903, 94, 291, 225, 88, 76, 73, 2107, 10456, 10836, 6263, 4589, 291, 21982, 16, 9778, 18, 203, 829, 2494, 2489, 16, 2167, 1825, 225, 88, 76, 73, 5070, 5134, 526, 12497, 16, 225, 69, 2806, 17, 306, 7162, 6721, 2404, 291, 9799, 16, 3610, 18, 203, 4290, 318, 225, 88, 76, 73, 3962, 292, 17539, 24683, 25608, 76, 73, 25194, 5029, 1364, 2855, 18, 203, 203, 3591, 568, 203, 2300, 376, 291, 3671, 203, 203, 1987, 203, 203, 3257, 2477, 203, 16679, 2535, 203, 203, 7890, 22336, 768, 277, 18524, 1823, 383, 17895, 2300, 376, 18, 1633, 203, 60, 567, 768, 277, 2167, 18524, 1823, 383, 17895, 2300, 376, 18, 1633, 203, 203, 19677, 4686, 203, 6004, 717, 203, 2300, 376, 3259, 3891, 33235, 203, 2300, 376, 1865, 423, 32272, 8405, 89, 203, 5013, 423, 8930, 24683, 16, 32272, 8405, 89, 203, 2866, 334, 17, 4577, 4497, 1778, 2, 0, 49, 605, 27915, 1214, 396, 3640, 2357, 2209, 10547, 13, 318, 4383, 326, 961, 225, 88, 76, 73, 6651, 292, 7996, 526, 16596, 386, 1524, 7059, 291, 4589, 18, 731, 318, 225, 88, 76, 73, 3845, 292, 6552, 1977, 1010, 290, 2677, 15175, 292, 225, 88, 76, 73, 3525, 689, 11039, 392, 526, 16596, 386, 1524, 2995, 6476, 27915, 1214, 18, 203, 203, 1744, 18304, 21410, 16596, 1010, 203, 829, 3868, 24353, 27915, 1214, 12581, 25395, 20458, 3721, 291, 1374, 286, 1934, 286, 5242, 225, 69, 1977, 1010, 4174, 291, 225, 88, 76, 73, 1389, 290, 286, 5891, 709, 5437, 8889, 225, 88, 76, 73, 1840, 18, 409, 1873, 385, 225, 88, 76, 73, 25395, 21410, 16596, 1010, 3868, 2404, 383, 11682, 1473, 2409, 16, 25395, 18, 409, 1465, 385, 761, 2524, 290, 761, 5801, 431, 629, 292, 225, 88, 76, 73, 17326, 3194, 1977, 4063, 292, 225, 88, 76, 73, 595, 18, 1238, 643, 1124, 9686, 16, 629, 1673, 1597, 11904, 383, 1843, 2107, 526, 16596, 386, 1524, 11031, 955, 359, 2694, 26967, 396, 10250, 1825, 225, 88, 76, 73, 1465, 873, 2694, 2699, 3112, 290, 39878, 16195, 80, 3014, 77, 18, 409, 1604, 292, 225, 88, 76, 73, 1465, 385, 2314, 11108, 431, 961, 42066, 431, 225, 88, 76, 73, 2677, 3194, 16, 3690, 290, 2107, 526, 16596, 386, 1524, 16, 21942, 4022, 272, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 3261, 16596, 1010, 286, 316, 42259, 25395, 15622, 20305, 203, 203, 22549, 4686, 203, 6004, 717, 203, 9327, 4634, 8633, 203, 5013, 423, 1594, 39011, 2, 0, 19572, 4488, 318, 225, 69, 7797, 292, 29572, 13422, 4010, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 38, 47111, 4488, 225, 318, 225, 69, 7797, 292, 29572, 13422, 4010, 16, 291, 16486, 22725, 16, 3522, 18, 601, 568, 15362, 698, 27768, 2307, 18, 225, 738, 2401, 1389, 318, 15147, 431, 761, 17, 27430, 11897, 9383, 346, 11355, 286, 45771, 1367, 17, 29619, 5481, 22061, 16, 6659, 42484, 16, 290, 339, 2615, 12992, 16, 345, 1331, 291, 225, 69, 18545, 292, 761, 17, 3691, 1798, 379, 41444, 1590, 81, 1070, 93, 14878, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 4327, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 13955, 225, 88, 76, 73, 2976, 318, 225, 88, 76, 73, 724, 1444, 17, 17455, 2353, 431, 225, 88, 76, 73, 3194, 26410, 4679, 2804, 35250, 5841, 18, 203, 203, 13339, 8483, 17951, 689, 11953, 1300, 32864, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 2682, 696, 685, 30, 7933, 6171, 689, 14702, 14093, 6, 225, 696, 685, 30, 5959, 6171, 689, 5089, 2560, 19841, 399, 6, 225, 696, 685, 30, 3475, 6171, 689, 14564, 14097, 6, 225, 696, 685, 30, 7122, 6171, 689, 13955, 225, 88, 76, 73, 2976, 6, 225, 696, 685, 30, 7068, 6171, 689, 6976, 562, 291, 225, 88, 76, 73, 41801, 6, 225, 696, 685, 30, 5777, 6171, 689, 1356, 315, 274, 24548, 6, 225, 696, 685, 30, 3859, 6171, 689, 8391, 292, 40308, 6, 225, 696, 832, 30, 7122, 6171, 689, 34976, 6763, 6, 225, 696, 832, 30, 3021, 6171, 689, 22744, 286, 13669, 6, 225, 696, 1025, 30, 1878, 203, 203, 39636, 4327, 9078, 3537, 1010, 225, 774, 46443, 203, 18681, 34839, 774, 20954, 16, 12655, 8566, 203, 6632, 13211, 774, 20954, 203, 3988, 34839, 225, 774, 15334, 203, 5075, 34839, 225, 774, 44142, 203, 2694, 6642, 225, 774, 14085, 203, 203, 26400, 3918, 203, 203, 521, 2353, 2524, 225, 69, 689, 30120, 30120, 6, 396, 6686, 35264, 286, 832, 19, 25, 13, 6825, 291, 29523, 700, 5, 6444, 18, 4931, 262, 7280, 19296, 24388, 4184, 225, 88, 76, 73, 2353, 359, 689, 69, 22177, 3709, 25221, 1032, 45178, 2995, 1417, 1214, 524, 225, 88, 76, 73, 6374, 3784, 1300, 32864, 290, 42910, 19841, 399, 326, 1883, 13828, 290, 16515, 345, 225, 88, 76, 73, 2353, 1380, 5610, 286, 4329, 292, 5638, 29419, 290, 8892, 4374, 1438, 18, 203, 203, 1987, 203, 203, 1893, 285, 5841, 6847, 2, 0, 34075, 4488, 318, 225, 69, 7797, 292, 29572, 13422, 4010, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 56, 11305, 94, 35766, 262, 396, 3640, 11262, 13, 318, 225, 69, 10624, 4352, 3702, 3357, 291, 6301, 8944, 743, 359, 761, 359, 379, 10320, 34266, 325, 1324, 3354, 16, 1670, 290, 3506, 2148, 18, 203, 203, 829, 7248, 16, 458, 385, 2123, 225, 69, 22188, 290, 225, 69, 6533, 326, 522, 8668, 548, 383, 225, 88, 76, 73, 5029, 292, 12536, 4950, 291, 374, 20084, 31634, 396, 12639, 387, 859, 409, 3702, 504, 652, 225, 69, 797, 17, 2378, 5093, 15175, 292, 225, 88, 76, 73, 7738, 292, 10669, 290, 279, 3702, 17, 77, 82, 17, 465, 2400, 291, 17747, 2895, 16, 7871, 270, 16, 3012, 588, 31990, 16, 17743, 290, 19100, 396, 12823, 5507, 11925, 326, 225, 88, 76, 73, 25497, 3014, 293, 2329, 21447, 3871, 5290, 361, 639, 49378, 15077, 270, 12827, 291, 8769, 18, 1728, 8668, 2580, 6425, 18109, 953, 16, 2797, 953, 16, 3162, 953, 16, 5244, 16, 6462, 16, 13942, 16, 23085, 290, 4067, 18, 203, 203, 829, 522, 2016, 16, 225, 88, 76, 73, 3702, 15010, 225, 88, 76, 73, 2148, 292, 3363, 16, 12846, 292, 4418, 290, 709, 10696, 10017, 291, 2155, 18, 731, 2697, 524, 286, 41443, 6566, 291, 7676, 396, 31057, 13251, 2208, 873, 5303, 290, 2219, 3993, 18, 2519, 1249, 225, 88, 76, 73, 1150, 1817, 290, 6395, 8022, 4131, 388, 431, 28343, 11743, 225, 88, 76, 73, 2890, 16, 458, 6625, 279, 953, 548, 16, 573, 3769, 318, 3578, 225, 88, 76, 73, 7895, 292, 225, 88, 76, 73, 2536, 554, 18, 203, 203, 3257, 2477, 1563, 36079, 7688, 4846, 3261, 203, 7940, 7217, 7697, 69, 16, 34324, 22183, 203, 1645, 19944, 395, 2467, 134, 123, 1553, 2345, 10519, 694, 78, 39571, 21492, 87, 7329, 203, 37839, 94, 35766, 262, 16, 3702, 526, 2343, 203, 7940, 1343, 4102, 22181, 5513, 2518, 9023, 88, 735, 425, 78, 291, 41220, 46440, 134, 123, 203, 1645, 19944, 27467, 301, 6435, 1294, 5768, 472, 2238, 94, 425, 78, 203, 6535, 7813, 361, 13177, 14251, 700, 454, 69, 374, 20084, 31634, 203, 203, 31897, 3852, 203, 23154, 4686, 203, 6004, 717, 2, 0, 9813, 8690, 643, 2404, 291, 3612, 2615, 46887, 325, 1188, 2827, 3384, 18, 2776, 21876, 290, 46020, 907, 16647, 1162, 2684, 16, 225, 88, 76, 73, 4570, 17319, 14717, 6001, 4970, 396, 58, 57, 13, 7345, 279, 24443, 4889, 291, 225, 88, 76, 73, 6065, 7195, 16, 7709, 225, 88, 76, 73, 2763, 13646, 26410, 21459, 11, 4771, 396, 32215, 52, 13, 290, 225, 88, 76, 73, 3387, 1670, 17319, 5052, 5174, 396, 5986, 13, 1119, 8792, 10316, 18, 203, 203, 15663, 203, 203, 3462, 19348, 4521, 203, 203, 1987, 203, 203, 12758, 2615, 46887, 203, 41618, 291, 3612, 2615, 46887, 203, 10427, 291, 3612, 2615, 46887, 203, 8079, 3384, 2141, 291, 2214, 2, 0, 1200, 318, 225, 69, 6312, 1241, 292, 1864, 1452, 6924, 2524, 431, 20220, 43974, 7075, 555, 16, 279, 1644, 17251, 6693, 18, 203, 203, 15603, 203, 203, 1987, 203, 203, 15906, 555, 16, 331, 5080, 2, 0, 10187, 6161, 578, 8690, 643, 2404, 291, 40997, 325, 848, 2355, 3384, 18, 409, 4771, 292, 3244, 1131, 292, 225, 88, 76, 73, 4321, 292, 40997, 396, 7391, 32867, 13, 1825, 225, 69, 4889, 292, 8083, 396, 3456, 524, 292, 14935, 13, 326, 225, 88, 76, 73, 2630, 12563, 5560, 18, 13594, 447, 385, 15916, 10924, 25149, 225, 88, 76, 73, 2723, 9, 3046, 326, 225, 88, 76, 73, 5028, 286, 339, 5972, 18, 203, 203, 10776, 225, 88, 76, 73, 8690, 16, 8572, 385, 2505, 286, 18753, 225, 69, 631, 3296, 292, 40997, 359, 225, 88, 76, 73, 24169, 23660, 36938, 23714, 644, 286, 1449, 968, 819, 9592, 797, 3245, 18, 23814, 8690, 2505, 225, 88, 76, 73, 4499, 6944, 286, 2834, 383, 2070, 17237, 10362, 16, 517, 225, 88, 76, 73, 9867, 5046, 10973, 286, 6158, 326, 225, 88, 76, 73, 1220, 5277, 32867, 17, 47259, 6941, 291, 1220, 11341, 292, 11586, 1133, 1589, 290, 2262, 3384, 16, 3769, 786, 4115, 385, 6413, 18, 1099, 225, 69, 1873, 16, 1846, 21177, 8690, 643, 2404, 291, 2382, 18, 203, 203, 15924, 203, 521, 3690, 4970, 1740, 325, 40997, 286, 8266, 709, 19348, 1690, 16, 573, 8806, 279, 19348, 18668, 292, 1025, 10924, 3267, 4762, 5046, 1308, 3122, 292, 8434, 8572, 18, 1790, 16, 3296, 36938, 23714, 13079, 803, 4914, 18, 203, 203, 15663, 203, 13624, 2241 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 643, 3823, 325, 1188, 2355, 3384, 31, 225, 88, 76, 73, 14209, 5277, 32867, 6449, 286, 4715, 225, 88, 76, 73, 17237, 8083, 2505, 286, 18753, 225, 88, 76, 73, 4115, 16, 4721, 225, 88, 76, 73, 9867, 5046, 346, 225, 88, 76, 73, 7091, 292, 16501, 225, 69, 631, 5028, 18, 332, 18801, 29349, 4604, 325, 2967, 2355, 7295, 225, 88, 76, 73, 2241, 18, 203, 203, 1356, 3755, 203, 521, 3211, 20384, 12686, 4428, 9866, 16, 7167, 431, 10917, 587, 423, 225, 88, 76, 73, 9501, 6633, 31837, 8793, 16, 4778, 326, 9170, 36372, 290, 6751, 9712, 396, 7663, 45, 17311, 873, 31837, 8793, 292, 225, 88, 76, 73, 3721, 292, 2214, 396, 52, 15788, 873, 290, 225, 88, 76, 73, 3690, 8572, 17892, 225, 88, 76, 73, 8690, 359, 3314, 325, 225, 88, 76, 73, 2178, 16, 346, 629, 18637, 449, 13914, 225, 88, 76, 73, 8739, 388, 225, 88, 76, 73, 3758, 4720, 7119, 18, 409, 6237, 21876, 981, 225, 88, 76, 73, 8690, 644, 5471, 225, 69, 3974, 1419, 326, 225, 88, 76, 73, 18398, 4771, 16, 346, 225, 88, 76, 73, 770, 14159, 961, 225, 88, 76, 73, 2637, 292, 225, 88, 76, 73, 4499, 13867, 18, 203, 203, 521, 9501, 6633, 28212, 3929, 504, 7133, 225, 69, 17249, 1891, 28724, 225, 88, 76, 73, 8690, 4176, 1324, 290, 3492, 290, 15041, 40997, 359, 279, 689, 1153, 446, 32122, 2744, 2038, 16, 4009, 12176, 225, 69, 6240, 3506, 5190, 290, 2945, 798, 292, 225, 88, 76, 73, 453, 18, 55, 18, 39, 18, 41, 18, 290, 3721, 292, 2214, 18471, 1556, 4553, 4949, 430, 1211, 766, 1038, 275, 16, 1357, 292, 225, 88, 76, 73, 23833, 292, 225, 88, 76, 73, 9501, 6633, 31837, 8793, 290, 5510, 1773, 17, 49776, 292, 225, 88, 76, 73, 9501, 6633, 1700, 17, 4690, 29848, 16, 928, 345, 458, 385, 11434, 383, 225, 88, 76, 73, 3360, 292, 14285, 291, 40997, 18, 689, 4280, 8690, 643, 823, 877, 290, 544, 3269, 530, 891, 5612, 291, 225, 88, 76, 73, 1924, 292, 442, 1868, 2670, 430, 1211, 766, 355, 275, 928, 18, 203, 203, 5632, 16, 554, 2260, 292, 225, 88, 76, 73, 33743, 17, 16014, 14606, 962, 16, 15658, 38923, 16, 15419, 376, 38923, 292, 8745, 8291, 16, 4214, 14606, 1244, 385, 1689, 225, 88, 76, 73, 7164, 292, 225, 88, 76, 73, 3237, 267, 472, 22033, 292, 3826, 1992, 7654, 16, 26304, 6866, 658, 442, 9282, 16, 14156, 345, 780, 644, 225, 69, 689, 534, 16, 823, 1977, 3371, 6, 345, 660, 427, 652, 629, 22909, 16, 517, 780, 689, 38329, 82, 985, 942, 654, 7446, 6, 292, 357, 18, 1236, 8021, 345, 225, 88, 76, 73, 27591, 423, 225, 88, 76, 73, 3084, 10650, 442, 1891, 18, 1236, 568, 9911, 345, 383, 225, 88, 76, 73, 15543, 292, 225, 88, 76, 73, 10362, 345, 383, 377, 30, 564, 225, 88, 76, 73, 5277, 32867, 644, 5742, 9, 292, 225, 88, 76, 73, 10362, 290, 225, 88, 76, 73, 1583, 1180, 2455, 5046, 423, 225, 88, 76, 73, 9867, 3303, 1180, 4425, 9, 15961, 1027, 9805, 1708, 16, 383, 1188, 30, 564, 225, 88, 76, 73, 3343, 3716, 31605, 290, 225, 88, 76, 73, 5277, 32867, 644, 2723, 8159, 1238, 427, 568, 652, 6000, 292, 23790, 10257, 16, 346, 19535, 290, 1928, 2311, 445, 438, 8487, 14847, 11586, 18, 203, 203, 10776, 225, 88, 76, 73, 29349, 16, 357, 385, 2891, 431, 225, 88, 76, 73, 31285, 4368, 345, 225, 88, 76, 73, 12561, 5028, 703, 427, 286, 949, 1128, 431, 1148, 2382, 3384, 18, 16124, 12169, 703, 339, 22769, 290, 1846, 8690, 2404, 18, 409, 9867, 5046, 5586, 345, 544, 703, 41636, 12169, 16, 22547, 19348, 10257, 359, 225, 88, 76, 73, 2157, 16, 290, 3867, 286, 4260, 631, 8690, 18, 409, 12561, 5028, 385, 1708, 917, 326, 452, 1589, 3384, 18, 203, 203, 2856, 16062, 203, 203, 10776, 225, 88, 76, 73, 11257, 292, 17249, 5028, 2241, 325, 1025, 2355, 3384, 16, 573, 5471, 225, 88, 76, 73, 4771, 292, 3244, 1131, 292, 225, 88, 76, 73, 4321, 292, 40997, 396, 7391, 32867, 13, 32606, 16, 4499, 5699, 2723, 9, 292, 225, 88, 76, 73, 10362, 16, 225, 88, 76, 73, 9867, 13079, 225, 88, 76, 73, 2241, 16, 40312, 225, 88, 76, 73, 7655, 292, 29066, 2634, 291, 225, 88, 76, 73, 1619, 292, 15543, 225, 88, 76, 73, 10362, 290, 18017, 631, 8690, 18, 38592, 290, 20158, 15373, 427, 6331, 10868, 21474, 291, 225, 88, 76, 73, 3313, 292, 1836, 19718, 77, 82, 18581, 89, 325, 2355, 1025, 88, 76, 290, 1148, 88, 76, 18, 1563, 203, 521, 16373, 28588, 524, 292, 1945, 290, 48507, 698, 225, 69, 29797, 325, 2355, 1148, 88, 76, 16, 346, 24868, 17575, 225, 88, 76, 73, 12169, 1848, 290, 225, 88, 76, 73, 12561, 17400, 16, 12742, 11698, 383, 225, 88, 76, 73, 4700, 16, 346, 225, 88, 76, 73, 29797, 4060, 11933, 286, 3613, 225, 88, 76, 73, 4700, 18, 557, 225, 88, 76, 73, 6213, 292, 1148, 2355, 225, 88, 76, 73, 29797, 366, 8267, 698, 225, 88, 76, 73, 12169, 1848, 16, 26032, 282, 357, 290, 917, 357, 325, 2883, 18, 7073, 5508, 644, 35829, 1945, 292, 225, 88, 76, 73, 1830, 3313, 431, 1188, 2355, 16, 49926, 1579, 4110, 24868, 18, 9931, 225, 88, 76, 73, 32582, 16, 4129, 3104, 292, 12135, 4260, 8306, 16, 1315, 13860, 87, 290, 22780, 431, 225, 88, 76, 73, 4060, 16, 643, 4001, 431, 225, 88, 76, 73, 48690, 18, 203, 203, 33012, 746, 21474, 325, 225, 88, 76, 73, 4574, 5238, 3838, 326, 225, 88, 76, 73, 16074, 292, 225, 88, 76, 73, 1302, 18, 409, 2151, 290, 9867, 5046, 427, 11601, 1040, 609, 292, 7909, 750, 13111, 1493, 286, 589, 576, 225, 88, 76, 73, 17008, 18, 203, 203, 4639, 758, 203, 2091, 1136, 2355, 3384, 16, 36938, 23714, 1740, 325, 225, 88, 76, 73, 31285, 4368, 286, 2411, 814, 225, 69, 29349, 292, 225, 88, 76, 73, 10362, 16, 359, 18017, 431, 225, 88, 76, 73, 24868, 18, 1507, 1519, 2355, 225, 88, 76, 73, 3696, 13785, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 2507, 292, 13413, 225, 69, 29349, 16, 573, 385, 6931, 286, 949, 1128, 325, 1583, 2355, 18, 1507, 2116, 2355, 16, 3129, 501, 355, 528, 264, 354, 4727, 3823, 345, 225, 88, 76, 73, 1220, 1179, 9867, 5046, 703, 41636, 225, 88, 76, 73, 29349, 16, 22547, 13342, 345, 225, 88, 76, 73, 2151, 703, 787, 357, 286, 2688, 709, 4889, 286, 225, 88, 76, 73, 17237, 8083, 2505, 286, 18753, 225, 88, 76, 73, 1358, 4115, 18, 203, 203, 521, 2241, 292, 225, 88, 76, 73, 29349, 643, 3179, 325, 2967, 2355, 18, 1911, 4375, 10021, 643, 6601, 290, 225, 88, 76, 73, 2536, 5028, 1873, 385, 7295, 18, 203, 203, 39927, 292, 225, 69, 631, 4115, 203, 203, 3134, 292, 225, 88, 76, 73, 724, 5692, 292, 225, 88, 76, 73, 7495, 6413, 12169, 318, 286, 18753, 225, 69, 631, 4115, 18, 3726, 19283, 4115, 23660, 36938, 23714, 385, 291, 41795, 326, 1378, 3463, 16, 359, 458, 644, 1850, 3220, 797, 3245, 16, 225, 88, 76, 73, 5530, 1319, 3842, 811, 225, 88, 76, 73, 17586, 18, 1728, 19066, 2318, 286, 339, 6413, 981, 1188, 2262, 3384, 346, 225, 69, 1220, 17, 74, 1807, 3126, 4889, 396, 12872, 292, 14935, 10362, 859, 996, 786, 6944, 6892, 225, 69, 4889, 6158, 981, 345, 2777, 16, 225, 69, 631, 21177, 5028, 703, 339, 2404, 18, 409, 1220, 9867, 5046, 3823, 345, 544, 703, 479, 6158, 1584, 225, 88, 76, 73, 5277, 32867, 526, 25025, 326, 4115, 16, 326, 573, 17237, 10362, 524, 292, 14935, 643, 2505, 31, 691, 8572, 6449, 286, 18753, 225, 69, 6944, 1220, 1631, 16, 442, 703, 1873, 291, 631, 21177, 8690, 961, 2505, 18, 203, 203, 521, 18398, 4771, 11925, 2677, 8517, 5604, 32635, 82, 44601, 7592, 5328, 30926, 77, 359, 519, 12561, 6944, 18, 409, 3529, 12169, 6449, 286, 18753, 225, 69, 631, 4115, 33939, 1846, 21177, 8690, 573, 643, 2404, 325, 3843, 2382, 3384, 18, 203, 203, 521, 8572, 644, 286, 18753, 16, 346, 225, 69, 4889, 292, 1220, 17, 74, 1807, 3126, 225, 88, 76, 73, 3296, 292, 40997, 18, 409, 14209, 4771, 292, 3244, 1131, 292, 225, 88, 76, 73, 4321, 292, 40997, 396, 7391, 32867, 13, 11925, 32635, 82, 44601, 7592, 5328, 30926, 77, 16, 290, 225, 69, 26612, 17, 71, 387, 43169, 16, 225, 69, 10611, 423, 1836, 19718, 77, 82, 18581, 89, 18, 1099, 225, 88, 76, 73, 5277, 32867, 2404, 770, 4099, 292, 14935, 8083, 291, 12169, 16, 517, 17237, 10362, 643, 2505, 286, 18753, 225, 88, 76, 73, 4115, 16, 383, 2070, 554, 6158, 423, 225, 88, 76, 73, 9867, 385, 2505, 18, 409, 9867, 396, 12947, 431, 225, 88, 76, 73, 1220, 14548, 17, 13648, 5046, 225, 88, 76, 73, 17062, 4771, 16, 225, 88, 76, 73, 17062, 9170, 4771, 292, 40997, 16, 290, 225, 88, 76, 73, 1867, 40997, 11366, 13, 3435, 24088, 728, 225, 88, 76, 73, 724, 2806, 292, 225, 88, 76, 73, 5028, 2404, 325, 452, 1589, 3384, 16, 4722, 16501, 8548, 21177, 8690, 35949, 409, 1361, 2806, 385, 917, 326, 3436, 1589, 3384, 16, 517, 357, 385, 23100, 286, 685, 2262, 3384, 31, 225, 88, 76, 73, 5277, 32867, 8021, 345, 357, 385, 1966, 286, 49620, 5691, 8754, 345, 927, 18, 1507, 685, 2262, 3384, 16, 225, 88, 76, 73, 1361, 2806, 396, 264, 901, 532, 5028, 13, 385, 2404, 16, 225, 88, 76, 73, 2241, 961, 225, 88, 76, 73, 1150, 30, 4099, 10362, 326, 32635, 82, 44601, 7592, 5328, 30926, 77, 16, 16501, 24169, 23660, 36938, 23714, 286, 32092, 225, 88, 76, 73, 8572, 18, 10492, 8690, 643, 917, 326, 3843, 2382, 3384, 819, 36938, 23714, 22769, 12169, 325, 1583, 2262, 3384, 18, 203, 203, 41, 2847, 37506, 203, 521, 1241, 292, 37506, 6413, 291, 225, 88, 76, 73, 848, 2355, 3384, 21177, 8690, 30, 203, 203, 32214, 292, 3244, 1131, 292, 225, 88, 76, 73, 4321, 292, 40997, 203, 203, 48707, 4771, 203, 203, 48707, 9170, 4771, 292, 40997, 203, 203, 2058, 40997, 11366, 203, 203, 19315, 203, 203, 1987, 203, 203, 3257, 2477, 203, 7065, 3384, 21177, 8690, 310, 28041, 1941, 203, 203, 10427, 8690, 291, 40997, 203, 10427, 291, 40997, 203, 47722, 9385, 203, 10427, 14055, 203, 7065, 3384, 2141, 291, 2214, 2, 0, 14940, 17131, 10100, 396, 1758, 2698, 17003, 696, 3436, 2427, 2286, 13, 385, 279, 5070, 3593, 936, 5380, 290, 8833, 10821, 290, 932, 1197, 39920, 18, 225, 332, 1560, 17, 2378, 6651, 292, 225, 88, 76, 73, 21882, 6052, 16, 225, 88, 76, 73, 3593, 345, 2154, 225, 88, 76, 73, 13091, 12682, 38882, 10030, 290, 225, 69, 1560, 17, 2378, 5070, 41395, 1697, 13376, 16, 10100, 385, 761, 1712, 326, 522, 6017, 292, 30227, 12390, 16, 6092, 10100, 316, 17, 3672, 375, 18, 10100, 385, 25871, 698, 225, 88, 76, 73, 603, 28, 44582, 1239, 3757, 292, 13412, 291, 4597, 18, 203, 203, 9035, 969, 203, 18143, 10100, 5789, 527, 291, 22594, 16, 279, 7309, 17, 16493, 21634, 292, 9799, 18, 1728, 3707, 326, 7766, 2483, 291, 225, 88, 76, 73, 1846, 8587, 87, 359, 225, 69, 8924, 15704, 16277, 16, 5736, 798, 1627, 5187, 981, 6774, 286, 1560, 10581, 18, 557, 225, 88, 76, 73, 1708, 8587, 87, 16, 458, 1698, 6092, 10100, 9125, 944, 16, 225, 69, 1250, 345, 9471, 2994, 326, 35041, 290, 46615, 31035, 18, 6034, 442, 10032, 16, 225, 69, 1246, 292, 4834, 290, 4951, 4624, 18476, 10895, 290, 458, 724, 6291, 6057, 7766, 291, 3610, 291, 13698, 31, 431, 7423, 16, 458, 385, 7766, 346, 629, 292, 3610, 526, 1174, 33576, 6813, 18, 203, 203, 42907, 2269, 203, 203, 829, 13356, 16, 10100, 290, 795, 17, 33011, 9560, 393, 2118, 1825, 225, 88, 76, 73, 21882, 6052, 383, 27377, 4404, 16, 8469, 16, 4586, 225, 69, 18588, 17, 31838, 23251, 7084, 18, 10100, 290, 393, 2118, 16, 4586, 225, 69, 8771, 27262, 23548, 16, 1825, 225, 88, 76, 73, 3593, 1001, 225, 88, 76, 73, 1737, 602, 16, 225, 88, 76, 73, 1172, 981, 225, 88, 76, 73, 1465, 3230, 286, 4207, 5280, 41151, 383, 12682, 38882, 16, 1063, 2027, 8184, 16, 19016, 225, 88, 76, 73, 21882, 6052 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1565, 18, 10100, 16, 4586, 326, 225, 88, 76, 73, 8771, 2016, 962, 16, 1825, 225, 69, 2314, 797, 21882, 6052, 87, 383, 225, 88, 76, 73, 631, 7706, 16, 225, 88, 76, 73, 724, 346, 393, 2118, 291, 12812, 290, 225, 88, 76, 73, 1361, 291, 11777, 346, 4426, 22239, 359, 795, 17, 33011, 18, 8035, 225, 88, 76, 73, 1626, 292, 7706, 16, 10100, 318, 8172, 16769, 346, 4499, 3610, 526, 745, 4383, 20119, 3593, 1560, 1631, 291, 225, 69, 6020, 16, 1334, 786, 609, 5380, 16, 449, 874, 6196, 17, 2378, 3593, 6651, 5409, 24458, 16, 504, 1801, 1772, 18, 203, 203, 29415, 1825, 225, 88, 76, 73, 5070, 41395, 1697, 6263, 396, 614, 1712, 359, 225, 88, 76, 73, 603, 28, 44582, 1239, 6263, 13, 291, 12902, 16, 12812, 16, 11262, 290, 10547, 18, 1728, 11262, 8838, 4676, 1419, 385, 291, 225, 69, 28662, 5790, 10939, 1343, 48, 17, 21, 346, 225, 69, 832, 4219, 26508, 10234, 2396, 18, 10100, 385, 5981, 431, 225, 69, 5686, 1626, 286, 6500, 225, 88, 76, 73, 832, 4219, 2396, 346, 225, 69, 15134, 26508, 10234, 2396, 326, 225, 88, 76, 73, 10547, 9287, 517, 225, 88, 76, 73, 5790, 10939, 1146, 4642, 286, 5419, 225, 88, 76, 73, 9867, 16, 573, 2765, 24038, 46633, 267, 526, 8771, 20258, 1872, 22, 31923, 16, 13477, 31508, 44715, 880, 526, 8771, 2128, 61, 27262, 421, 7211, 51, 18572, 8571, 16, 290, 14811, 1397, 320, 540, 526, 37229, 22472, 2962, 10939, 421, 4846, 20659, 18, 2924, 225, 88, 76, 73, 8821, 8712, 458, 1698, 291, 225, 88, 76, 73, 8838, 4676, 16, 458, 3846, 325, 225, 88, 76, 73, 23578, 2967, 1631, 18, 203, 203, 29415, 568, 1825, 225, 88, 76, 73, 12812, 5070, 15209, 6263, 383, 225, 88, 76, 73, 6512, 292, 225, 69, 35041, 430, 17, 9182, 16, 290, 225, 88, 76, 73, 35922, 16901, 6610, 21672, 261, 6108, 16, 291, 1119, 10945, 290, 10858, 16, 383, 522, 884, 34478, 2409, 49732, 4586, 225, 69, 37229, 2962, 10939, 421, 4846, 15134, 396, 267, 1631, 458, 568, 10675, 522, 2000, 1720, 603, 28, 11492, 37229, 411, 46, 4808, 2571, 421, 11030, 2128, 57, 17, 21, 573, 385, 4794, 8135, 431, 2212, 18150, 859, 203, 203, 29415, 8187, 423, 6057, 4951, 7766, 383, 225, 88, 76, 73, 991, 292, 10584, 1966, 286, 22379, 34498, 18, 1456, 225, 88, 76, 73, 595, 292, 522, 8592, 458, 644, 652, 4586, 225, 69, 1025, 18, 20, 40734, 28662, 2962, 4197, 291, 225, 88, 76, 73, 5070, 6610, 21672, 261, 6263, 18, 1979, 3267, 527, 4586, 16, 10100, 2745, 14835, 936, 2592, 5409, 24458, 286, 3054, 225, 88, 76, 73, 2962, 4197, 291, 225, 88, 76, 73, 307, 17, 12947, 5070, 15209, 6263, 18, 24458, 26021, 225, 88, 76, 73, 936, 291, 10201, 290, 10156, 981, 10100, 3168, 225, 88, 76, 73, 936, 291, 1846, 9483, 286, 1043, 17, 6620, 4372, 24038, 39826, 18, 203, 203, 18143, 10100, 316, 17, 3672, 375, 203, 829, 11995, 16, 10100, 3909, 225, 88, 76, 73, 724, 6092, 10100, 316, 17, 3672, 375, 2803, 291, 9799, 18, 409, 1250, 4819, 279, 4885, 16, 1201, 17, 11868, 932, 286, 442, 927, 31, 6092, 526, 3198, 16, 33757, 10100, 16, 318, 225, 88, 76, 73, 1474, 6176, 18, 557, 3008, 16, 19557, 17, 2996, 17, 765, 10100, 17614, 359, 12143, 292, 316, 17, 3672, 375, 22547, 10393, 291, 225, 88, 76, 73, 2168, 346, 522, 3198, 33757, 18, 203, 203, 4379, 9483, 1542, 7248, 6092, 10100, 5401, 225, 69, 3254, 1877, 29370, 6511, 346, 13477, 46954, 270, 18, 6092, 10100, 8001, 291, 13294, 290, 13477, 6476, 46954, 270, 8001, 13477, 46954, 270, 526, 2107, 292, 4518, 465, 290, 351, 1725, 6421, 291, 5201, 3610, 18, 203, 203, 4379, 5725, 286, 4988, 16, 6092, 10100, 316, 17, 3672, 375, 2404, 225, 88, 76, 73, 20279, 3993, 19243, 326, 225, 88, 76, 73, 12682, 38882, 10030, 16, 225, 88, 76, 73, 3593, 10100, 15198, 1846, 291, 522, 2269, 18, 409, 1250, 568, 2404, 225, 88, 76, 73, 20279, 3993, 286, 225, 88, 76, 73, 2677, 6092, 10100, 10855, 16, 965, 292, 2027, 9799, 10130, 18, 203, 203, 18143, 10100, 316, 17, 3672, 375, 318, 225, 88, 76, 73, 770, 1864, 30227, 17982, 291, 3610, 596, 502, 449, 3289, 2380, 1160, 26561, 18, 10100, 526, 1797, 2157, 326, 442, 318, 345, 522, 1361, 22779, 4159, 22493, 21581, 644, 3904, 291, 225, 69, 936, 5561, 291, 8338, 1966, 286, 225, 69, 2380, 1160, 282, 30227, 19591, 524, 18, 203, 203, 10020, 2970, 1945, 292, 6092, 10100, 316, 17, 3672, 375, 16, 10100, 11107, 286, 1582, 225, 69, 631, 30227, 932, 1249, 522, 1565, 18, 601, 385, 14043, 431, 3198, 33757, 291, 3696, 573, 568, 13785, 10100, 1386, 3497, 3356, 18, 557, 1589, 2616, 16, 522, 14901, 5325, 9290, 3558, 385, 21998, 431, 225, 88, 76, 73, 1627, 30573, 291, 1374, 286, 5792, 225, 88, 76, 73, 7177, 3356, 18, 203, 203, 19825, 35211, 286, 5070, 18171, 651, 203, 203, 16745, 4622, 16015, 203, 4379, 6336, 286, 9483, 16, 225, 88, 76, 73, 5070, 4622, 16015, 385, 2404, 383, 522, 34478, 2409, 49732, 291, 225, 88, 76, 73, 11596, 22080, 292, 9799, 16, 10100, 2158, 658, 225, 88, 76, 73, 8902, 290, 23343, 292, 225, 88, 76, 73, 4622, 16015, 291, 225, 88, 76, 73, 2374, 292, 34478, 2409, 961, 8740, 225, 69, 2806, 292, 225, 88, 76, 73, 17903, 2060, 2107, 6263, 396, 261, 15167, 1095, 383, 910, 359, 34478, 385, 225, 69, 377, 18, 26, 3059, 7748, 941, 10328, 573, 225, 88, 76, 73, 5751, 4834, 304, 4793, 291, 1490, 720, 3303, 6042, 859, 409, 6336, 4622, 16015, 385, 1227, 286, 17903, 22846, 16, 17903, 7290, 290, 17903, 2060, 4834, 290, 385, 1825, 431, 3610, 526, 6336, 17903, 2060, 2107, 13376, 12185, 6906, 4586, 522, 2107, 6263, 4499, 6642, 393, 59, 6688, 38, 17, 38317, 18, 6116, 965, 385, 6552, 393, 21, 5380, 26659, 48068, 298, 11733, 4586, 522, 46615, 31035, 1946, 29, 16, 346, 33247, 1385, 393, 21, 5380, 8968, 1385, 27614, 9267, 8743, 685, 4263, 16, 4586, 279, 3006, 19971, 25020, 28, 17903, 22846, 326, 3173, 5070, 962 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 12545, 5593, 4585, 3006, 19971, 18, 203, 203, 4379, 10584, 1535, 9483, 225, 88, 76, 73, 8712, 643, 1177, 811, 17903, 22486, 463, 7384, 290, 10100, 13663, 291, 19026, 798, 292, 225, 88, 76, 73, 910, 17903, 2060, 6813, 292, 225, 88, 76, 73, 7099, 18, 4313, 3593, 423, 10584, 286, 9483, 385, 1825, 431, 1059, 4586, 225, 88, 76, 73, 2220, 395, 844, 18806, 24, 17, 38317, 18, 203, 203, 521, 10584, 5070, 4622, 16015, 385, 1825, 431, 1924, 393, 21, 5380, 30171, 40958, 423, 6933, 18, 2813, 12811, 1361, 16, 568, 291, 279, 18806, 24, 385, 10584, 2107, 13376, 13237, 363, 1278, 311, 396, 23996, 13, 346, 5070, 21942, 1291, 349, 3032, 8743, 685, 4263, 291, 522, 18806, 24, 18, 12185, 6906, 290, 33247, 1385, 526, 25290, 411, 1387, 576, 568, 8979, 291, 225, 88, 76, 73, 3593, 16, 1155, 1119, 6449, 286, 3647, 18, 409, 10584, 3593, 385, 225, 88, 76, 73, 724, 595, 1364, 10842, 345, 225, 88, 76, 73, 14007, 52, 644, 797, 388, 543, 16, 1474, 388, 1843, 2107, 4004, 16, 325, 225, 88, 76, 73, 3300, 11491, 18, 1507, 345, 5560, 16, 5857, 10775, 396, 21, 334, 873, 13930, 5180, 396, 23, 4263, 873, 43607, 27666, 2019, 396, 29, 88, 76, 873, 290, 3610, 526, 884, 15208, 2107, 13376, 5541, 1291, 349, 3032, 396, 40, 35582, 13, 8979, 359, 225, 88, 76, 73, 3593, 385, 641, 292, 225, 88, 76, 73, 2220, 706, 17, 10358, 21420, 6108, 18, 203, 203, 1905, 225, 88, 76, 73, 10201, 5070, 4622, 16015, 16, 10100, 1001, 12402, 393, 21, 6813, 291, 363, 1278, 311, 16, 411, 1387, 576, 16, 225, 88, 76, 73, 857, 8187, 6906, 16, 4552, 1924, 17903, 2060, 2107, 13376, 45292, 41659, 18, 3395, 1010, 41659, 1825, 225, 88, 76, 73, 2313, 5868, 3593, 423, 411, 1387, 576, 290, 10584, 6651, 30171, 40958, 18, 1605, 41659, 1708, 1825, 522, 1361, 14007, 52, 291, 18254, 291, 9463, 286, 1419, 522, 1361, 292, 1560, 17903, 2060, 2107, 8914, 16, 458, 2154, 225, 88, 76, 73, 770, 5380, 286, 1801, 1419, 225, 88, 76, 73, 5070, 4622, 16015, 291, 1119, 2107, 6263, 290, 1928, 17, 354, 2941, 807, 13002, 18, 203, 203, 521, 10156, 3593, 16, 1027, 770, 19026, 554, 1474, 393, 21, 5380, 291, 25290, 411, 1387, 576, 16, 359, 761, 359, 12185, 6906, 16, 596, 644, 959, 279, 13684, 437, 393, 21, 22844, 4164, 291, 225, 88, 76, 73, 602, 16, 979, 5603, 2357, 12415, 396, 30576, 225, 88, 76, 73, 8771, 11492, 18806, 24, 873, 1315, 2677, 6651, 40958, 16, 21942, 1291, 349, 3032, 290, 1924, 393, 21, 5380, 10498, 19477, 18, 40958, 1825, 522, 1361, 14007, 52, 423, 1491, 6813, 2212, 5110, 290, 411, 1387, 576, 18, 21942, 1291, 349, 3032, 3846, 832, 88, 76, 346, 6906, 291, 848, 88, 76, 290, 12567, 453, 11, 23390, 18, 40598, 277, 5070, 31229, 11, 13376, 16866, 83, 6959, 261, 11210, 3119, 225, 88, 76, 73, 3593, 1846, 291, 522, 316, 11074, 9523, 13604, 981, 7881, 225, 69, 25289, 6981, 325, 5868, 2399, 18, 40958, 703, 1708, 2731, 345, 644, 1866, 2282, 74, 694, 11, 449, 8187, 857, 458, 703, 2648, 427, 1825, 359, 458, 1919, 985, 2466, 458, 703, 427, 6089, 225, 88, 76, 73, 5070, 18, 409, 10156, 3593, 385, 225, 88, 76, 73, 1172, 595, 225, 88, 76, 73, 4622, 16015, 385, 2765, 359, 225, 69, 2806, 292, 225, 88, 76, 73, 5070, 31229, 11, 6263, 18, 203, 203, 5733, 9483, 357, 385, 3823, 345, 423, 9644, 16, 225, 88, 76, 73, 5070, 4622, 16015, 703, 339, 2404, 325, 225, 88, 76, 73, 26184, 292, 18254, 290, 703, 339, 225, 88, 76, 73, 1958, 88, 76, 290, 2243, 2806, 292, 225, 88, 76, 73, 9644, 17903, 2060, 1569, 16, 3267, 225, 88, 76, 73, 4622, 16015, 689, 10571, 6263, 6, 4709, 326, 225, 88, 76, 73, 724, 595, 291, 709, 2084, 18, 8035, 442, 16, 10100, 385, 1146, 1316, 286, 6189, 5603, 1474, 17903, 2060, 6813, 286, 5770, 291, 225, 88, 76, 73, 9483, 5070, 4622, 16015, 18, 5900, 12657, 225, 88, 76, 73, 1866, 355, 3800, 11, 385, 1220, 595, 396, 9288, 9483, 13, 2107, 13376, 428, 8822, 24597, 69, 16, 290, 10201, 2107, 13376, 7040, 373, 6340, 4628, 18, 43950, 624, 643, 9483, 33247, 1385, 6813, 19544, 486, 42647, 20668, 290, 34062, 37612, 1069, 634, 290, 10584, 290, 10156, 14007, 52, 6651, 30171, 40958, 286, 2245, 706, 1584, 1491, 6222, 6959, 261, 11210, 290, 9483, 4162, 4790, 8924, 2212, 6649, 73, 18, 40958, 703, 1419, 522, 685, 4263, 14007, 52, 291, 832, 806, 423, 6340, 4628, 16, 596, 11145, 785, 423, 225, 69, 2618, 894, 290, 225, 69, 19927, 1378, 936, 16, 346, 486, 42647, 20668, 5283, 291, 225, 88, 76, 73, 3054, 292, 225, 88, 76, 73, 3593, 286, 3647, 685, 4263, 819, 3300, 1846, 423, 225, 88, 76, 73, 7874, 16121, 290, 961, 2340, 2333, 225, 69, 5868, 968, 650, 458, 1837, 225, 88, 76, 73, 3387, 8891, 18, 203, 203, 37033, 19867, 203, 29415, 318, 16769, 346, 5486, 4146, 936, 7766, 286, 3610, 18, 5656, 13739, 286, 25704, 7766, 396, 5816, 277, 357, 359, 16422, 290, 1158, 23039, 484, 650, 4809, 286, 10328, 7766, 16, 3851, 3554, 1530, 396, 40, 1326, 2414, 7766, 873, 2404, 325, 4762, 38260, 388, 3526, 232, 246, 7802, 25704, 6374, 16, 504, 652, 2220, 291, 3610, 1364, 225, 88, 76, 73, 10754, 87, 873, 5070, 18171, 651, 4329, 3579, 644, 519, 884, 27894, 17, 8504, 864, 3290, 282, 29365, 901, 282, 1530, 650, 10100, 3413, 332, 8, 7836, 2372, 1848, 225, 88, 76, 73, 16798, 72, 450, 325, 225, 88, 76, 73, 9603, 292, 34478, 2409, 49732, 18, 409, 377, 18, 3819, 21, 3059, 7748, 396, 21, 18, 39203, 3059, 1038, 13, 16798, 72, 450, 16, 346, 2357, 8253, 10499, 291, 225, 88, 76, 73, 6138, 16, 385, 2387, 359, 225, 69, 16346, 17, 17838, 346, 10100, 23558, 225, 88, 76, 73, 2414, 325, 225, 88, 76, 73, 4383, 12676, 11844, 28916, 18, 203, 203, 7131, 3863, 325, 685, 2429, 9403, 16, 225, 88, 76, 73, 16798, 72, 450, 2533, 2737, 286, 225, 88, 76, 73, 724 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1801, 27894, 1465, 2404, 2573, 2217, 3146, 325, 3436, 2827, 8973, 346, 225, 88, 76, 73, 4366, 2996, 27894, 6052, 18, 11605, 8833, 6813, 423, 225, 88, 76, 73, 1851, 2198, 1882, 286, 3610, 326, 442, 3593, 1315, 11224, 19980, 1592, 17427, 26342, 290, 16311, 8609, 11547, 16, 1509, 346, 17082, 40392, 16, 4584, 6656, 30075, 16, 9219, 9627, 293, 16, 290, 1761, 423, 225, 88, 76, 73, 25583, 2699, 6108, 18, 8609, 11547, 16, 596, 644, 1825, 225, 88, 76, 73, 25583, 4236, 526, 21674, 9909, 19426, 9904, 8428, 383, 225, 88, 76, 73, 15055, 3211, 49732, 225, 88, 76, 73, 3529, 4178, 16, 290, 26342, 16, 596, 644, 1825, 225, 88, 76, 73, 8973, 36634, 6052, 715, 554, 1302, 2922, 286, 345, 16, 15198, 225, 88, 76, 73, 3593, 16, 40227, 225, 88, 76, 73, 1083, 1579, 1631, 325, 225, 69, 2069, 2779, 6213, 291, 573, 9134, 9284, 643, 4001, 286, 2124, 658, 15126, 8253, 36704, 396, 32545, 8253, 37926, 859, 8609, 11547, 1825, 225, 88, 76, 73, 33743, 5868, 3593, 423, 26342, 346, 9219, 9627, 293, 8743, 685, 4263, 18, 203, 203, 521, 3593, 385, 1638, 790, 431, 279, 1846, 4891, 17, 7183, 7785, 291, 6138, 685, 290, 832, 8505, 1188, 4834, 1315, 225, 88, 76, 73, 8771, 16798, 11377, 292, 1491, 14835, 936, 8924, 11418, 6875, 16, 290, 225, 88, 76, 73, 5504, 9440, 2627, 292, 24038, 1233, 525, 596, 16, 819, 2681, 524, 292, 20702, 16, 4222, 985, 3174, 968, 2563, 706, 225, 88, 76, 73, 785, 3780, 290, 5583, 698, 225, 88, 76, 73, 18351, 383, 3554, 18, 1233, 525, 16, 4214, 936, 385, 225, 69, 3279, 17, 3149, 16, 8792, 225, 69, 6073, 17196, 15235, 290, 385, 2498, 286, 4959, 326, 3636, 17, 24415, 18, 203, 203, 29415, 568, 5890, 225, 88, 76, 73, 18254, 3211, 49732, 573, 2134, 225, 88, 76, 73, 770, 609, 23077, 27894, 2181, 25704, 291, 3610, 346, 709, 2333, 7802, 28916, 4803, 11661, 16, 573, 16, 10356, 225, 88, 76, 73, 16798, 72, 450, 16, 318, 225, 69, 7428, 641, 292, 225, 88, 76, 73, 2441, 10328, 18, 203, 203, 829, 7884, 16, 10100, 290, 8258, 1653, 3554, 1530, 34249, 290, 10805, 1148, 4239, 34393, 6359, 21362, 568, 3823, 3407, 286, 2410, 225, 88, 76, 73, 1367, 2333, 7802, 15949, 7766, 2414, 345, 9308, 225, 88, 76, 73, 30665, 321, 17835, 28916, 291, 8258, 698, 225, 69, 23077, 25704, 326, 27894, 290, 225, 88, 76, 73, 5070, 332, 4221, 19867, 6298, 16, 3267, 3610, 225, 69, 2630, 23077, 25704, 3554, 1530, 18, 1790, 16, 225, 88, 76, 73, 1512, 1411, 1427, 1843, 225, 88, 76, 73, 3247, 3232, 18, 203, 203, 10220, 969, 203, 2091, 3275, 2827, 3868, 16, 10100, 385, 8740, 225, 69, 1519, 17, 10309, 12472, 1374, 1584, 522, 36285, 10123, 3564, 16, 411, 40962, 10100, 396, 3640, 11488, 859, 1456, 225, 88, 76, 73, 595, 16, 780, 385, 10502, 290, 544, 644, 652, 4308, 326, 452, 806, 18, 731, 11601, 633, 292, 18470, 286, 3991, 950, 290, 18470, 950, 346, 225, 69, 4123, 11976, 18, 557, 225, 69, 15333, 2307, 4368, 16, 325, 3143, 2494, 3384, 16, 225, 69, 15291, 1100, 411, 40962, 10100, 449, 11959, 292, 2176, 7176, 16, 1315, 11318, 16, 3305, 286, 225, 88, 76, 73, 7231, 14917, 18, 203, 203, 29415, 1112, 411, 40962, 650, 458, 4604, 4622, 34066, 10373, 326, 225, 88, 76, 73, 9463, 3988, 7615, 694, 10030, 383, 12682, 38882, 18, 203, 203, 29415, 9911, 16842, 325, 1188, 2382, 2489, 18, 203, 203, 2091, 3436, 2427, 2286, 16, 10100, 3904, 423, 26298, 5026, 16, 2967, 806, 819, 522, 11194, 18, 731, 385, 16927, 18, 203, 203, 10449, 2241, 203, 203, 21371, 5070, 41395, 1697, 6263, 2241, 203, 12, 3128, 13, 396, 54, 1578, 291, 9254, 9458, 14651, 2067, 13, 396, 54, 1578, 291, 40554, 869, 9458, 11820, 5868, 13, 203, 203, 21371, 3194, 4342, 4142, 1697, 6263, 2241, 203, 12, 3128, 13, 396, 54, 1578, 291, 9254, 9458, 14651, 2067, 31, 8712, 291, 40554, 869, 9458, 11820, 5868, 3155, 203, 203, 21371, 27377, 4404, 19, 33023, 38882, 6052, 19, 16883, 2241, 203, 203, 1987, 1563, 203, 10106, 8397, 423, 9799, 203, 31394, 4686, 203, 8454, 5850, 203, 33023, 38882, 10030, 8934, 203, 49537, 1010, 6108, 6813, 203, 16745, 41395, 1697, 6263, 6813, 203, 42907, 6813, 423, 9799, 203, 56, 559, 1950, 717, 203, 31581, 423, 26298, 5026, 203, 31581, 423, 5026, 291, 8469, 396, 22210, 13, 2, 0, 49520, 18802, 47333, 399, 45257, 8759, 702, 48105, 20581, 3538, 2355, 18255, 696, 1958, 2355, 2153, 873, 568, 5537, 7850, 532, 359, 8759, 702, 47567, 16, 8759, 702, 47567, 77, 16, 388, 38049, 41552, 2788, 16, 385, 225, 69, 8670, 290, 5316, 35220, 16, 17953, 290, 2411, 292, 2220, 18609, 2929, 290, 5488, 18, 225, 731, 385, 910, 1712, 326, 522, 2929, 325, 43922, 16, 2665, 82, 21752, 20686, 290, 15604, 2867, 526, 2630, 2163, 18, 203, 203, 15731, 225, 203, 32638, 702, 48105, 385, 3157, 291, 12041, 18, 731, 3220, 291, 225, 88, 76, 73, 8670, 7733, 1154, 2107, 2446, 3299, 16, 650, 458, 385, 225, 69, 1151, 32869, 325, 225, 88, 76, 73, 384, 348, 3614, 281, 43375, 10553, 18, 731, 7640, 423, 12041, 1495, 291, 13499, 16, 827, 522, 14083, 385, 16587, 22718, 939, 23684, 18, 225, 731, 21901, 522, 689, 40, 477, 483, 309, 36812, 291, 13591, 290, 15758, 6, 396, 76, 2738, 27220, 13, 3658, 291, 14417, 16, 2154, 225, 69, 7682, 291, 13811, 18, 203, 203, 32638, 702, 48105, 385, 6081, 225, 88, 76, 73, 44300, 10304, 396, 561, 225, 88, 76, 73, 548, 3119, 431, 22718, 939, 23684, 16, 5788, 890, 16212, 79, 3813, 333, 2467, 16, 290, 7747, 326, 3812, 292, 25289, 26261, 286, 11025, 1945, 16, 827, 458, 385, 554, 292, 225, 88, 76, 73, 2957, 366, 292, 225, 88, 76, 73, 5530, 10280, 18, 557, 11488, 458, 2524, 33687, 8926, 54, 8858, 326, 225, 88, 76, 73, 548, 325, 7392, 12027, 18, 225, 731, 5633, 383, 331, 4888, 2053, 18, 203, 203, 2177, 385, 225, 88, 76, 73, 12909, 2260, 292, 225, 88, 76, 73, 5316, 5029, 292, 4582, 18, 731, 385, 225, 88 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 76, 73, 2411, 292, 658, 926, 2929, 290, 18609, 5488, 18, 203, 203, 1987, 203, 203, 3257, 2477, 6286, 8759, 702, 48105, 526, 19284, 16, 291, 5316, 18, 203, 203, 32454, 4686, 203, 8145, 5850, 203, 30862, 423, 12041, 203, 825, 88, 76, 17, 4577, 5316, 44038, 203, 48, 33759, 10304, 8934, 203, 33098, 11042, 2361, 1495, 7692, 203, 18773, 11457, 203, 18773, 4038, 6146, 203, 2866, 334, 17, 4577, 5316, 44038, 203, 10468, 7115, 277, 8245, 292, 225, 88, 76, 73, 31084, 5029, 292, 11238, 356, 22498, 9448, 203, 20278, 4820, 292, 225, 88, 76, 73, 5316, 5029, 292, 4582, 203, 30047, 11457, 203, 30047, 44038, 203, 30047, 4223, 7765, 292, 2107, 2446, 3299, 2, 0, 39, 3787, 5202, 396, 10958, 281, 286, 1589, 1025, 16, 3486, 28193, 486, 7120, 9564, 225, 24067, 77, 3246, 353, 1069, 36693, 77, 21918, 16, 517, 1850, 1712, 857, 359, 331, 3787, 873, 318, 225, 69, 1627, 17, 11868, 21589, 10499, 9080, 18, 203, 203, 829, 5969, 16, 9805, 819, 225, 88, 76, 73, 21589, 10724, 292, 8694, 16, 331, 3787, 644, 225, 69, 7410, 18, 29, 9, 1877, 292, 225, 88, 76, 73, 21589, 1297, 326, 10499, 31, 431, 4109, 442, 644, 12276, 286, 832, 18, 6834, 8159, 1456, 225, 88, 76, 73, 991, 292, 3384, 16, 331, 3787, 5202, 644, 377, 16, 4665, 21, 10907, 16, 543, 720, 11911, 292, 573, 643, 291, 7613, 17349, 16, 798, 346, 770, 554, 388, 797, 3419, 18, 1099, 292, 2429, 3384, 16, 225, 88, 76, 73, 3290, 644, 384, 18, 27, 2372, 2024, 18, 203, 203, 6355, 203, 39, 3787, 385, 5141, 291, 26031, 1641, 15425, 806, 819, 225, 88, 76, 73, 7970, 292, 225, 88, 76, 73, 797, 5897, 523, 666, 12705, 15047, 16, 290, 543, 720, 225, 69, 7134, 981, 225, 88, 76, 73, 21589, 1627, 359, 955, 1641, 287, 225, 88, 76, 73, 28193, 486, 2602, 367, 18327, 225, 24067, 77, 3246, 353, 1069, 36693, 77, 21918, 396, 39701, 689, 10771, 380, 907, 290, 3246, 45884, 3010, 6, 517, 5895, 689, 10771, 380, 907, 290, 3246, 45884, 5202, 18970, 225, 88, 76, 73, 21589, 1544, 69, 318, 1013, 17440, 3773, 286, 225, 88, 76, 73, 3395, 271, 6083, 583, 31, 1119, 371, 3305, 286, 225, 88, 76, 73, 2764, 3950, 859, 557, 19976, 16, 225, 88, 76, 73, 1565, 385, 3716, 286, 28193, 486, 2602, 367, 18327, 16, 3246, 353, 1069, 36693, 77, 21918, 225, 24067, 77, 7120, 694, 9623, 10771, 380, 907, 16, 3246, 45884, 290, 28850, 3010, 18223, 557, 26964, 16, 225, 88, 76, 73, 15315, 4885, 28193, 486, 7120, 694, 9623, 55, 21005, 5202, 18696, 385, 917, 527, 811, 709, 47242, 46838, 18, 203, 203, 829, 26234, 16, 225, 88, 76, 73, 32682, 292, 225, 88, 76, 73, 331, 3787, 12436, 385, 917, 31, 225, 88, 76, 73, 1848, 3909, 359, 225, 88, 76, 73, 3290, 526, 11703, 291, 14569, 18, 1099, 292, 2862, 16, 331, 3787, 5202, 318, 1146, 27029, 660, 16, 3851, 225, 88, 76, 73, 1848, 504, 652, 3168, 286, 225, 88, 76, 73, 12478, 292, 38295, 326, 279, 22029, 5977, 31, 331, 3787, 5202, 318, 24700, 225, 88, 76, 73, 1848, 1535, 544, 1127, 388, 5523, 3681, 279, 4646, 2875, 11703, 18, 203, 203, 18814, 567, 6291, 2107, 2446, 2060, 1017, 532, 323, 325, 225, 88, 76, 73, 23781, 388, 11535, 19801, 1752, 16, 290, 385, 8052, 44544, 431, 225, 88, 76, 73, 5508, 292, 225, 88, 76, 73, 4795, 25949, 18, 332, 7125, 292, 225, 88, 76, 73, 3290, 526, 2255, 6497, 291, 12038, 38295, 16, 1027, 1378, 7125, 19604, 286, 314, 69, 24067, 77, 16, 291, 22599, 17349, 18, 8517, 8953, 42345, 314, 18, 331, 18, 1291, 18581, 88, 666, 89, 2891, 286, 3433, 225, 88, 76, 73, 5202, 526, 40661, 16, 359, 761, 359, 609, 6562, 1315, 225, 88, 76, 73, 40661, 292, 225, 88, 76, 73, 2090, 5202, 292, 17349, 16, 286, 314, 69, 24067, 77, 290, 1708, 286, 12041, 18, 203, 203, 829, 10480, 16, 225, 88, 76, 73, 28193, 486, 7120, 694, 385, 28588, 706, 359, 279, 9080, 291, 709, 884, 1054, 16, 225, 88, 76, 73, 28193, 4138, 69, 486, 7120, 9564, 9623, 9813, 28850, 3010, 6, 388, 689, 9813, 28850, 5202, 18696, 573, 291, 17704, 2154, 225, 88, 76, 73, 28193, 12940, 36693, 1120, 69, 486, 7120, 9564, 1005, 21176, 11931, 3797, 1081, 9623, 55, 21005, 290, 35284, 755, 6686, 272, 2090, 3010, 2995, 689, 9937, 5202, 326, 28850, 290, 35284, 755, 6686, 272, 2995, 2674, 15784, 409, 797, 14252, 643, 3989, 785, 1511, 383, 225, 88, 76, 73, 894, 292, 225, 88, 76, 73, 18398, 7099, 16, 291, 13499, 18, 203, 203, 829, 18398, 17349, 16, 331, 3787, 2267, 225, 69, 1319, 292, 2884, 292, 5983, 16, 1315, 1290, 2009, 8720, 5983, 346, 1952, 15656, 292, 1418, 290, 12882, 16, 290, 3909, 10907, 2453, 17349, 18, 2952, 6799, 286, 9644, 16, 331, 3787, 959, 5896, 7388, 359, 761, 18, 1979, 225, 88, 76, 73, 8694, 8302, 16, 331, 3787, 2483, 2580, 955, 359, 30344, 7388, 286, 609, 8038, 290, 7247, 291, 2151, 23935, 18, 557, 7196, 16, 3569, 1911, 18, 14852, 49119, 331, 3787, 359, 225, 69, 6231, 17, 26256, 1250, 346, 225, 88, 76, 73, 10637, 7738, 359, 709, 7002, 29896, 18, 24215, 291, 4589, 16, 7505, 643, 959, 5098, 30579, 1574, 18, 332, 4109, 5430, 383, 30579, 1574, 385, 2150, 1700, 650, 225, 88, 76, 73, 2151, 385, 40875, 346, 225, 88, 76, 73, 27637, 18, 409, 7091, 292, 30579, 1574, 504, 652, 291, 748, 359, 3077, 359, 2494, 3008, 18, 203, 203, 9824, 203, 203, 3257, 2477, 4327, 15717, 2764, 17, 11345, 7125, 292, 1637, 203, 203, 46496, 292, 17349, 203, 22552, 1653, 291, 38295, 203, 46496, 3178, 291, 25323, 203, 47148, 5343, 2, 0, 9342, 8066, 1918, 70, 4212, 396, 521, 14091, 40995, 13, 318, 225, 69, 20004, 431, 225, 88, 76, 73, 795, 17, 14806, 290, 20004, 3997, 292, 1063, 2229, 2086, 21152, 16, 4426, 5198, 3205, 622, 16, 959, 286, 12474, 2572, 83, 395, 1003, 77, 526, 1452, 1249, 8819, 423, 225, 88, 76, 73, 37376, 292, 13197, 270, 11210, 8746, 6577, 1315 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3523, 8066, 1918, 70, 4212, 16, 48241, 16, 314, 8888, 285, 3166, 290, 314, 4022, 46014, 77, 310, 265, 4990, 320, 10372, 396, 1758, 1878, 1180, 4665, 859, 203, 203, 521, 20004, 18454, 359, 409, 6763, 18893, 225, 346, 225, 88, 76, 73, 21152, 21671, 583, 486, 17283, 26663, 325, 5903, 16, 3498, 2827, 14164, 16, 383, 2086, 2916, 292, 4107, 290, 20868, 16, 1063, 2229, 16, 346, 5455, 290, 17839, 2389, 431, 10448, 812, 10226, 9402, 636, 290, 17839, 12328, 431, 6129, 1448, 4478, 18, 601, 385, 724, 4604, 431, 225, 88, 76, 73, 1063, 2229, 2086, 21152, 325, 1025, 2494, 7423, 383, 2086, 2916, 292, 4107, 290, 20868, 18, 15717, 203, 521, 20004, 6180, 225, 88, 76, 73, 1806, 292, 225, 69, 1773, 416, 4723, 16, 225, 69, 40471, 16, 290, 225, 69, 2089, 14091, 40995, 18, 409, 2536, 14164, 1167, 9616, 225, 88, 76, 73, 1806, 359, 6244, 30, 43588, 225, 88, 76, 73, 30031, 529, 5786, 292, 225, 69, 846, 8666, 12005, 225, 69, 36571, 3144, 504, 715, 10963, 18, 225, 409, 2737, 16, 279, 28754, 16038, 1010, 16, 11963, 522, 4694, 16, 2196, 624, 225, 69, 6432, 290, 225, 69, 30184, 795, 416, 4723, 18, 225, 409, 6432, 16, 9642, 17991, 431, 633, 35357, 16, 21867, 346, 633, 359, 225, 88, 76, 73, 4694, 10802, 2819, 225, 88, 76, 73, 4573, 16, 857, 780, 1248, 4878, 18, 225, 1099, 225, 88, 76, 73, 6432, 6138, 286, 1085, 16, 458, 8827, 225, 69, 6090, 2660, 21664, 584, 1580, 3181, 1808, 225, 88, 76, 73, 20841, 5098, 950, 18, 225, 601, 1822, 38030, 290, 458, 8827, 345, 357, 318, 225, 69, 2089, 30031, 1918, 9782, 472, 18, 225, 731, 19117, 522, 2328, 286, 633, 383, 1912, 16, 21490, 345, 780, 318, 225, 88, 76, 73, 3564, 292, 225, 88, 76, 73, 2737, 596, 6386, 633, 11908, 1576, 423, 225, 88, 76, 73, 1004, 18, 225, 1108, 4770, 16, 290, 458, 8827, 286, 3630, 633, 291, 633, 15206, 292, 22935, 3400, 18, 225, 1218, 544, 371, 2194, 18, 225, 409, 795, 416, 4723, 16, 45349, 346, 36736, 16, 31628, 524, 286, 1880, 225, 88, 76, 73, 2737, 4904, 3001, 1248, 2415, 225, 88, 76, 73, 32949, 3400, 17, 40995, 1061, 5273, 1576, 18, 225, 409, 6432, 703, 1085, 633, 517, 225, 88, 76, 73, 4694, 307, 11157, 290, 519, 9868, 4341, 225, 69, 13367, 18, 225, 9514, 16, 458, 9630, 754, 290, 31026, 517, 225, 88, 76, 73, 2737, 6244, 1248, 290, 369, 10634, 950, 18, 225, 1099, 458, 7689, 21702, 2196, 225, 88, 76, 73, 29506, 4694, 225, 88, 76, 73, 2660, 4429, 292, 522, 1246, 5272, 1912, 543, 16, 11560, 17406, 950, 290, 1511, 544, 41074, 1576, 18, 203, 203, 521, 20004, 385, 14070, 3523, 8066, 1918, 70, 4212, 291, 13356, 16, 290, 504, 652, 29247, 4129, 1631, 18, 203, 203, 23799, 4078, 203, 12921, 12809, 5897, 299, 9385, 203, 29100, 18598, 21066, 203, 54, 327, 29337, 26325, 203, 22662, 17147, 14360, 225, 203, 32719, 8732, 666, 225, 203, 27062, 17, 22238, 425, 203, 48446, 3684, 446, 8062, 203, 45800, 556, 919, 284, 3149, 203, 203, 1987, 28815, 24589, 1065, 347, 3850, 326, 225, 88, 76, 73, 21152, 21671, 583, 486, 17283, 26663, 14164, 17, 6036, 1569, 18, 225, 1063, 2229, 30, 4138, 3850, 9653, 16, 14164, 18, 203, 3844, 32086, 16, 1063, 2229, 2086, 21152, 16, 4061, 16, 452, 2262, 3486, 203, 2000, 262, 862, 6168, 16, 1063, 2229, 2086, 21152, 16, 6598, 9300, 16, 3486, 17049, 862, 16, 1302, 1188, 203, 203, 20427, 225, 203, 7187, 6330, 16, 689, 45074, 2301, 5429, 9926, 389, 19427, 5019, 38407, 27239, 11622, 9608, 31, 1866, 25686, 18893, 11, 4305, 31616, 431, 21152, 21671, 583, 383, 2086, 2916, 4525, 11780, 2952, 5676, 287, 2995, 1063, 2229, 6320, 16, 3436, 2827, 14164, 203, 38243, 18751, 16, 689, 19487, 1517, 30, 1866, 9342, 8066, 1918, 70, 4212, 48464, 2086, 1129, 27575, 4900, 87, 225, 69, 5198, 3205, 622, 9963, 286, 2000, 262, 862, 383, 2361, 13647, 2995, 1063, 2229, 6320, 16, 1148, 2494, 11995, 203, 2282, 506, 726, 4095, 2583, 328, 16, 7701, 13385, 5076, 10421, 29692, 16, 26625, 225, 88, 76, 73, 20323, 11910, 292, 24544, 21152, 16, 1063, 2229, 6320, 16, 591, 2494, 3486, 203, 5496, 24825, 478, 330, 6076, 16, 2072, 16, 9062, 14692, 16, 848, 2827, 3486, 203, 203, 3257, 2477, 2682, 203, 41013, 326, 3523, 8066, 1918, 70, 4212, 383, 225, 88, 76, 73, 5198, 3205, 622, 7779, 1622, 203, 203, 19487, 5908, 431, 4426, 5198, 3205, 622, 203, 3532, 2229, 2086, 21152, 17049, 862, 203, 29022, 20004, 49966, 203, 19487, 5908, 431, 12474, 2572, 83, 395, 1003, 77, 203, 19487, 5908, 2389, 431, 13285, 6129, 1448, 4478, 203, 19487, 5908, 286, 225, 88, 76, 73, 1452, 292, 13197, 270, 11210, 8746, 6577, 203, 48504, 587, 292, 2016, 431, 17974, 37228, 319, 10350, 2, 0, 521, 428, 45327, 10295, 16, 568, 1712, 359, 225, 88, 76, 73, 428, 45327, 4855, 6426, 295, 6108, 16, 371, 11446, 48795, 11473, 292, 12230, 42191, 375, 325, 225, 88, 76, 73, 3686, 1752, 292, 225, 88, 76, 73, 4404, 292, 12890, 18, 225, 23052, 1415, 8407, 345, 803, 11473, 371, 2459, 225, 88, 76, 73, 29855, 292, 1648, 4122, 5562, 820, 345, 673, 17, 7206, 225, 88, 76, 73, 351, 18685, 4754, 69, 29061, 396, 88, 76, 73, 4104, 3577, 29061, 291, 225, 88, 76, 73, 1004, 873, 388, 527, 80, 9226, 8054, 423, 225, 88, 76, 73, 9379, 2994, 292, 225, 88, 76, 73, 351, 18685, 4754, 69, 11574, 1056, 18, 203, 203, 521, 428, 45327, 10295, 371, 4819, 292, 225, 88, 76, 73, 1174, 21757, 292, 225, 69, 1388, 2413, 22614, 1736, 650, 225, 88, 76, 73, 37170, 14343, 39460, 68, 89, 48621, 31545, 1576, 18, 409, 21757, 658, 595, 48795, 698, 2413, 48938, 743, 359, 31060, 423, 351, 18685, 4754, 69, 5583, 968, 698, 225, 88, 76, 73, 22614, 290, 6837, 5162, 357, 3043, 292, 2520, 1255, 225, 88, 76, 73, 21757, 1389, 16, 1535, 915, 2994, 292, 225, 88, 76, 73, 15668, 292, 225, 88, 76, 73, 684, 17, 71, 15618, 41249, 371, 1146, 571, 2951, 920, 18, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 203, 1266, 318, 6710, 423, 225, 88, 76, 73, 21865, 637, 292, 225, 88, 76, 73, 48795, 11473, 345, 544, 371, 940, 4438, 720, 225, 88, 76, 73, 5919, 6234, 18, 3531, 292, 225, 88, 76, 73, 4017, 292, 351, 18685, 4754, 69, 318, 2004, 286, 427, 5401, 1434, 225, 88, 76, 73, 1172, 832, 16, 1318, 806, 16, 517, 225, 88, 76, 73, 428, 45327, 10295, 371, 8192, 286, 339, 1133, 2313, 16, 1318, 290, 926, 16, 1318, 806, 1367, 18, 4150, 442, 2223, 660, 2471, 286, 427, 652, 6452, 17855, 291, 225, 88, 76, 73, 1118, 292, 225, 88, 76, 73, 3686, 2832, 292, 351, 18685, 4754, 69, 16, 7226, 291, 14405, 3931, 47403, 345, 5674, 26086, 524, 292, 225, 88, 76, 73, 29061, 16, 17001, 29855, 292, 225, 88, 76, 73, 4438, 8250, 292, 351, 18685, 4754, 69, 18, 203, 203, 41851, 203, 203, 18456, 24934, 292, 12890, 396, 293, 944, 13, 203, 44, 1451, 292, 225, 88, 76, 73, 1851, 2198, 2, 0, 47, 753, 74, 2186, 354, 91, 10164, 3538, 396, 49711, 3538, 13, 689, 48, 5551, 91, 23127, 354, 91, 10164, 6, 32195, 396, 77, 82, 2764, 25980, 529, 16301, 3538, 19966, 689, 48, 677, 11, 16301, 6, 431, 22986, 292, 709, 26921, 567, 13, 385, 225, 69, 3911, 1593, 4260, 49054, 674, 14882, 33587, 10210, 4411, 1154, 2107, 2446, 3299, 18, 203, 15965, 5014, 8979, 325, 479, 292, 225, 88, 76, 73, 30208, 291, 225, 88, 76, 73, 3690, 7603, 1535, 225, 88, 76, 73, 991, 292, 225, 88, 76, 73, 2391, 18, 601, 8001, 1220, 292, 225, 88, 76, 73, 1864, 3911, 6889, 5427, 33587, 2884, 31, 225, 88, 76, 73, 731, 2437, 303, 731, 29065, 16, 32649, 366, 11659, 16927, 290, 225, 88, 76, 73, 32649, 366, 11659, 7052, 18, 409, 4411, 7220, 291, 1119, 7019, 24335, 16, 2405, 1593, 1118, 16, 5096, 17, 47570, 290, 19116, 684, 72, 2830, 4471, 18, 409, 4889, 292, 709, 9622, 969, 696, 449, 6233, 10356, 1378, 49054, 674, 14882, 10210, 10237, 49093, 3303, 1608, 385, 3413, 325, 5096, 17, 47570, 13415, 18, 203, 203, 6355, 203, 47, 753, 74, 2186, 354, 91, 10164, 3538, 385, 5401, 325, 377, 1589, 14123, 383, 46069, 425, 5074, 346, 640, 349, 33453, 49711, 3538, 290, 314, 18, 1233, 406, 901, 396, 14459, 859, 3299, 18, 1233, 406, 901, 385, 5401, 1689, 46069, 24841, 3059, 4403, 1012, 1522, 73, 18, 8571, 1233, 406, 901, 385, 449, 5401, 1535, 377, 2636, 14123, 1689, 4841, 893, 396, 47, 5909, 636, 11729, 24936, 859, 601, 385, 32445, 359, 19608, 532, 556, 18, 4742, 18, 37029, 18, 409, 1233, 406, 901, 1361, 9221, 1837, 1128, 325, 452, 2827, 10679, 383, 46069, 24841, 18, 203, 203, 14564, 4903, 3849, 203, 203, 12639, 387, 203, 5733, 225, 88, 76, 73, 10624, 14330, 225, 640, 349, 33453, 49711, 3538, 8001, 423, 25196, 2867, 811, 377, 18, 393, 5741, 1323, 25479, 396, 21, 334, 18, 3062, 5669, 873, 11646, 1211, 7389, 37594, 377, 396, 12476, 17952, 377, 859, 1507, 1148, 2427, 225, 88, 76, 73, 4411, 385, 4265, 811, 225, 88, 76, 73, 5464, 292, 384, 18, 393, 5741, 1323, 25479, 16, 11646, 1211, 7389, 37594, 832, 18, 640, 349, 33453, 49711, 3538, 385, 7392, 286, 46069, 24841, 17, 4403, 1012, 1522, 73, 291, 2217, 2699, 4681, 325, 1519, 2427, 286, 1922, 4471, 291, 225, 88, 76, 73, 2217, 7304, 18, 203, 5826, 18, 1233, 406, 901, 644, 5742, 731, 2437, 303, 731, 29065, 87, 346, 4600, 1310, 545, 325, 377, 2427, 14123, 18, 11531, 383, 25196, 2867, 17, 52, 12785, 12943, 811, 377, 18, 393, 5741, 1323, 25479, 16, 11646, 1211, 7389, 37594, 377, 18, 601, 12489, 10268, 1060, 47396, 1069, 21492, 2453, 225, 88, 76, 73, 3224, 16, 17575, 9412, 10268, 290, 10624, 5349, 34745, 24647, 291, 225, 88, 76, 73, 3243, 292, 225, 88, 76, 73, 3911, 20272, 5349, 526, 5461, 1133, 384, 1180, 24, 2427, 18, 225, 13350, 16624, 286, 1593, 23928, 325, 832, 1180, 25, 2427, 291, 225, 88, 76, 73, 41220, 46440, 134, 123, 290, 22943, 1389, 18, 1507, 1148, 2427, 225, 88, 76, 73, 5014, 37254, 5036, 10268, 291, 225, 88, 76, 73, 411, 90, 628, 1389, 291, 1118, 292, 225, 88, 76, 73, 3911, 7701, 18868, 5349, 18, 314, 33453, 49711, 3538, 385, 24986, 423, 4471, 658, 9732, 325, 1519, 2427, 18, 203, 203, 12175, 7304, 4471, 203, 1744, 349, 33453, 49711, 3538, 2483, 4471, 423, 225, 88, 76, 73, 46069, 24841, 3039, 811, 225, 88, 76, 73, 5464, 292, 1136, 18, 393, 5741, 1323, 25479, 325, 1519, 2427, 18, 314, 33453, 49711, 3538, 644, 2533, 786, 641, 291, 225, 88, 76, 73, 10624, 14330, 18, 601, 644, 652, 7392, 286, 46069, 24841, 346, 7629, 731, 29065, 87, 16, 7410, 1310, 545, 16, 811, 225, 88, 76, 73, 5464, 292, 832, 18, 393, 5741, 1323, 25479, 11646, 1211, 7389, 37594, 384, 326, 5096, 17, 47570, 4471, 18, 1507, 377, 2427, 225, 88, 76, 73, 4411, 6653, 225, 69, 38017, 658, 225, 88, 76, 73, 26934, 8114, 1360, 18, 377, 18, 24511, 303, 12489, 225, 88, 76, 73, 5138, 8220, 6889, 12403, 225, 325, 3538, 2427, 18, 685, 18, 9718, 303, 6653, 5096, 17, 47570, 13415, 1584, 7996, 526, 5898, 5403, 346, 629, 1476, 18, 203, 203, 2091, 3436, 2485, 14123, 16, 225, 69, 731, 2437, 303, 731, 29065, 44, 33587, 423, 49093, 3538, 16, 15168, 225, 88, 76, 73, 421, 32296, 91, 10164, 79, 3479, 1828, 292, 377, 44, 15, 32631, 396, 88, 76, 73, 689, 37, 6, 4740, 9849, 225, 88, 76, 73, 421, 32296, 91, 10164, 334, 349, 388, 5464, 6062, 873, 8172, 2154, 225, 88, 76, 73, 724, 3911, 6889, 286, 339, 4126, 968, 325, 3194, 6559, 431, 225, 88, 76, 73, 5138, 3062, 7044, 18, 225, 1099, 357, 4415, 423, 225, 69, 38017, 658, 225, 88, 76, 73, 393, 2118, 292, 32350, 16, 2279, 1739, 34652, 42736, 10375, 18341, 292, 4099, 22, 290, 4099, 23, 17329, 43351, 225, 88, 76, 73, 33587, 658, 41086, 373, 338, 18, 601, 7785, 12949, 1689, 225, 88, 76, 73, 1240, 35676, 292, 36234, 694, 16, 1689, 225, 88, 76, 73, 2364, 292, 14180 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 373, 338, 291, 3551, 12385, 26787, 16, 8076, 16, 290, 318, 1541, 7035, 286, 359, 225, 88, 76, 73, 1866, 44, 2394, 694, 731, 2437, 303, 8904, 39184, 11681, 14566, 385, 16769, 346, 225, 88, 76, 73, 6912, 18, 203, 203, 2091, 3143, 2827, 10679, 16, 225, 69, 731, 2437, 303, 731, 29065, 33587, 423, 49093, 3538, 46113, 290, 30741, 225, 88, 76, 73, 2836, 596, 2970, 33743, 292, 633, 5643, 290, 385, 11181, 431, 4099, 18, 4150, 4471, 286, 3450, 225, 88, 76, 73, 5643, 16, 225, 88, 76, 73, 225, 568, 30741, 650, 357, 2843, 225, 69, 6505, 16, 6627, 479, 2988, 18, 332, 1244, 17, 7467, 8051, 6601, 345, 780, 644, 41813, 698, 225, 69, 7495, 8154, 3194, 6505, 3676, 18, 22694, 7392, 225, 69, 3696, 292, 16463, 286, 339, 42562, 286, 11940, 225, 88, 76, 73, 3028, 292, 225, 88, 76, 73, 10316, 290, 357, 11929, 345, 1119, 8521, 345, 652, 29079, 431, 21457, 423, 225, 88, 76, 73, 731, 29065, 18, 409, 556, 5876, 8405, 19148, 644, 6449, 286, 19478, 709, 45424, 345, 225, 88, 76, 73, 49054, 674, 14882, 385, 1482, 5096, 17, 47570, 42592, 383, 345, 595, 290, 644, 568, 6449, 286, 1075, 225, 88, 76, 73, 49054, 674, 14882, 345, 709, 45424, 703, 339, 383, 4831, 18, 203, 203, 23, 18, 9718, 303, 30741, 2176, 1240, 12259, 1689, 225, 88, 76, 73, 393, 2118, 292, 393, 1199, 325, 1148, 2698, 14123, 18, 1507, 1958, 2209, 10679, 685, 18, 24511, 303, 12489, 1399, 21554, 10288, 290, 2843, 225, 290, 554, 609, 2913, 16, 1155, 225, 88, 76, 73, 7641, 385, 449, 6523, 8343, 18, 203, 203, 15907, 3803, 290, 12070, 203, 521, 4411, 979, 5770, 291, 16990, 16503, 262, 5011, 70, 1828, 1913, 640, 349, 33453, 49711, 3538, 385, 4265, 811, 2128, 393, 5741, 1323, 37091, 1874, 18, 4150, 225, 88, 76, 73, 5670, 1025, 3597, 3911, 14778, 292, 13795, 396, 23668, 13, 225, 88, 76, 73, 4411, 3230, 286, 332, 274, 23437, 8956, 16, 13795, 325, 1519, 2355, 10679, 18, 601, 19604, 1154, 225, 88, 76, 73, 14168, 14330, 286, 640, 466, 7308, 16, 857, 1129, 649, 10110, 359, 225, 88, 76, 73, 707, 606, 81, 12065, 22638, 3620, 925, 18, 225, 203, 45, 33453, 49711, 3538, 385, 1653, 383, 22044, 16, 1689, 5276, 12603, 903, 28032, 290, 959, 3254, 17, 6307, 7509, 1584, 14168, 8220, 12779, 11739, 383, 15151, 1947, 387, 290, 1689, 26438, 74, 34614, 18, 1507, 1136, 2355, 225, 88, 76, 73, 4411, 959, 279, 3727, 325, 1399, 21554, 10288, 286, 18798, 2778, 3194, 16694, 43000, 286, 43080, 18, 30243, 314, 18, 1233, 406, 901, 16887, 325, 2152, 2625, 11318, 325, 23781, 9121, 426, 291, 15533, 37310, 1180, 13656, 19015, 18, 1507, 1946, 2355, 16, 1689, 640, 466, 7308, 16, 225, 385, 12489, 18, 1507, 1583, 1589, 314, 33453, 49711, 3538, 30741, 279, 39150, 3766, 12656, 291, 2927, 19015, 22189, 18, 1507, 1148, 2262, 10679, 959, 709, 1172, 3727, 325, 15533, 37310, 24064, 16, 573, 385, 13684, 282, 18, 203, 5826, 33453, 49711, 3538, 5642, 524, 5096, 17, 47570, 4471, 1133, 7996, 290, 12070, 16, 2494, 696, 2429, 10679, 18, 4150, 225, 88, 76, 73, 3224, 291, 12070, 225, 88, 76, 73, 1233, 406, 901, 959, 1579, 7509, 325, 23781, 39533, 366, 16, 2525, 38223, 290, 38357, 1342, 1476, 18, 1507, 1124, 2355, 10679, 225, 385, 8343, 5352, 431, 3299, 33453, 49711, 3538, 18, 409, 4411, 32261, 22059, 15759, 1584, 14168, 5349, 6269, 291, 225, 88, 76, 73, 3686, 292, 225, 88, 76, 73, 1868, 1535, 377, 1589, 10679, 18, 1979, 225, 69, 2769, 17, 887, 1716, 16, 2483, 15759, 1584, 3194, 16694, 5508, 18, 1507, 1260, 2262, 357, 30741, 797, 38357, 290, 12489, 33173, 10865, 5138, 16, 5696, 292, 21030, 12057, 18, 409, 1233, 406, 901, 2970, 770, 1560, 388, 2176, 6889, 291, 14168, 4471, 18, 11006, 277, 286, 4471, 658, 12070, 16, 225, 88, 76, 73, 4411, 979, 449, 5770, 291, 225, 88, 76, 73, 1846, 8976, 292, 7996, 4471, 396, 7077, 696, 2429, 10679, 859, 203, 15155, 18, 1233, 406, 901, 2483, 4471, 658, 12070, 325, 1260, 2355, 290, 6497, 1535, 225, 88, 76, 73, 991, 292, 225, 88, 76, 73, 3224, 18, 601, 8001, 8987, 731, 29065, 87, 16, 3538, 1310, 545, 5930, 291, 2625, 290, 22651, 4471, 18, 557, 31972, 2979, 5187, 984, 345, 49093, 3538, 2970, 383, 2070, 3303, 6889, 396, 4472, 9, 388, 4316, 3878, 13, 423, 2355, 1260, 286, 2262, 1260, 16, 10679, 18, 203, 203, 32128, 292, 7996, 203, 1744, 349, 33453, 49711, 3538, 2483, 4471, 346, 2701, 731, 29065, 87, 16, 479, 9622, 18, 314, 33453, 49711, 644, 1872, 290, 3843, 18, 225, 3299, 33453, 49711, 3538, 2483, 4471, 325, 377, 2427, 10679, 346, 3498, 731, 29065, 87, 290, 770, 4266, 9622, 18, 8571, 33453, 49711, 3538, 644, 3538, 731, 29065, 87, 16, 479, 9622, 1846, 291, 225, 88, 76, 73, 8976, 18, 601, 8979, 291, 479, 4471, 1535, 225, 88, 76, 73, 6598, 16, 13918, 18, 601, 8792, 4281, 10316, 325, 1583, 2429, 10679, 16, 650, 225, 88, 76, 73, 1233, 406, 901, 385, 43351, 524, 286, 4831, 650, 11933, 286, 14427, 33452, 29655, 6627, 4266, 6889, 18, 557, 2698, 10679, 357, 959, 787, 292, 225, 88, 76, 73, 9671, 34750, 9756, 325, 32189, 1584, 3023, 18, 203, 203, 27556, 17, 47570, 4471, 203, 203, 49711, 3538, 8979, 291, 225, 88, 76, 73, 8976, 292, 225, 88, 76, 73, 13792, 16, 8976, 292, 225, 88, 76, 73, 10024, 290, 4471, 325, 225, 88, 76, 73, 7942, 10553, 16, 1584, 225, 88, 76, 73, 19926, 34774, 17413, 290, 225, 88, 76, 73, 8670, 8220, 658, 225, 88, 76, 73, 3260, 7304, 18, 203, 45, 33453, 49711, 3538, 8001, 706, 225, 88, 76, 73, 1851, 6248, 526, 5898, 5403, 423, 15146, 1689, 332, 274, 23437, 291, 13795, 18, 1507, 3498, 2355, 357, 30741, 225, 88, 76, 73, 48929, 2913, 225, 706, 225, 88, 76, 73, 5465, 292, 225, 88, 76, 73, 3703, 49349, 18, 2519, 1583, 2262, 13918, 225, 88, 76, 73, 1233, 406, 901, 8021, 554, 2525, 24217, 16, 554, 39533, 262, 16, 2967, 4762, 8521, 290, 832, 5805, 16, 1758, 26, 15264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 56, 292, 16635, 6477, 18, 203, 2856, 16990, 2349, 7283, 43113, 225, 88, 76, 73, 4411, 385, 7220, 291, 4471, 658, 2625, 1509, 225, 88, 76, 73, 6115, 10279, 79, 9412, 16, 225, 88, 76, 73, 2603, 292, 6115, 10279, 79, 290, 10865, 14246, 1067, 79, 16, 290, 361, 13436, 7304, 18, 225, 685, 18, 9718, 303, 290, 384, 18, 9718, 303, 25555, 286, 5963, 286, 3637, 291, 34974, 3727, 4049, 291, 2827, 13525, 18, 557, 2209, 1180, 7322, 13525, 225, 88, 76, 73, 5014, 43351, 1429, 28195, 363, 53, 1814, 16, 363, 53, 1583, 16, 225, 363, 53, 1958, 16, 363, 53, 1946, 290, 363, 53, 1124, 18, 18601, 363, 53, 1814, 290, 1583, 797, 8521, 643, 8021, 29079, 290, 554, 8343, 18, 18601, 363, 53, 1958, 357, 8021, 554, 29079, 290, 797, 8343, 18, 3624, 38689, 363, 53, 1946, 797, 8521, 643, 8021, 29079, 290, 554, 8343, 18, 24756, 277, 363, 53, 1124, 16, 225, 88, 76, 73, 1275, 5642, 524, 225, 69, 2885, 282, 34974, 3727, 1712, 359, 225, 88, 76, 73, 8541, 912, 70, 16, 3118, 359, 279, 5096, 17, 1373, 28195, 4369, 18, 11605, 8521, 643, 8021, 29079, 16, 517, 326, 225, 88, 76, 73, 2979, 292, 1519, 731, 29065, 87, 290, 4266, 19489, 18, 409, 4411, 644, 286, 339, 20271, 24807, 286, 10316, 290, 385, 4265, 811, 225, 88, 76, 73, 5464, 292, 11646, 1211, 7389, 37594, 848, 325, 452, 2427, 13525, 18, 203, 203, 5826, 33453, 49711, 3538, 19604, 286, 31367, 291, 2494, 13918, 359, 641, 292, 393, 5741, 1323, 37091, 1874, 2128, 18, 1979, 13780, 16, 357, 2970, 2701, 731, 29065, 87, 286, 279, 9531, 1593, 14427, 325, 1188, 2494, 13918, 18, 1507, 225, 88, 76, 73, 1876, 292, 1946, 19, 1758, 2494, 13918, 1519, 731, 29065, 87, 643, 2632, 286, 9756, 225, 88, 76, 73, 17644, 94, 18293, 18, 409, 2080, 9377, 1248, 891, 290, 314, 18, 1233, 406, 901, 2970, 4266, 5930, 286, 5708, 45449, 18, 557, 225, 88, 76, 73, 1737, 2754, 22199, 7509, 643, 959, 325, 3194, 14516, 3207, 291, 225, 88, 76, 73, 13792, 18, 1507, 4600, 2494, 357, 30741, 225, 88, 76, 73, 2025, 5838, 319, 2482, 410, 290, 19323, 804, 25361, 8067, 46049, 18, 203, 521, 4411, 568, 1837, 641, 291, 13415, 658, 22164, 16, 6627, 709, 724, 6889, 325, 1188, 2827, 13918, 18, 4150, 225, 88, 76, 73, 46009, 14330, 225, 88, 76, 73, 4411, 3230, 286, 393, 16821, 567, 291, 7716, 5963, 290, 6653, 32189, 1584, 29716, 359, 641, 292, 29674, 18, 393, 5741, 1323, 37091, 1874, 18, 203, 26, 18, 9718, 303, 16, 3299, 18, 43, 3351, 901, 16, 49093, 3538, 396, 26, 18, 5826, 33453, 49711, 3538, 13, 385, 307, 2959, 383, 319, 7427, 16, 291, 225, 88, 76, 73, 47120, 290, 2483, 4471, 658, 225, 88, 76, 73, 3260, 7304, 1584, 225, 88, 76, 73, 8670, 8220, 18, 409, 4411, 8021, 452, 16, 1318, 15264, 56, 29079, 291, 2485, 1180, 8324, 13918, 18, 203, 203, 15155, 33453, 49711, 3538, 8792, 225, 69, 1319, 292, 19608, 587, 290, 385, 39423, 1560, 1631, 18, 409, 724, 9221, 385, 4810, 325, 452, 2827, 10679, 16, 819, 961, 5401, 326, 225, 88, 76, 73, 724, 595, 325, 377, 2636, 14123, 18, 314, 33453, 49711, 3538, 385, 14070, 556, 18, 4742, 18, 3538, 325, 452, 2827, 10679, 18, 314, 33453, 49711, 3538, 385, 39423, 325, 452, 2827, 385, 225, 69, 3040, 9221, 326, 225, 88, 76, 73, 1361, 595, 18, 1507, 1583, 2698, 13918, 16, 225, 88, 76, 73, 4411, 385, 14070, 3299, 33453, 49711, 2313, 18, 1666, 1150, 927, 225, 88, 76, 73, 2630, 9221, 292, 8571, 33453, 49711, 3538, 385, 959, 16, 346, 3040, 7765, 18, 557, 2262, 13525, 225, 88, 76, 73, 5014, 385, 1912, 1001, 14070, 16, 290, 709, 5837, 9221, 385, 286, 2554, 1535, 225, 88, 76, 73, 27358, 277, 292, 32044, 74, 2186, 354, 91, 10164, 3538, 383, 225, 88, 76, 73, 991, 292, 225, 88, 76, 73, 2391, 18, 203, 15155, 33453, 49711, 3538, 8052, 32261, 5349, 1118, 13415, 5014, 13525, 650, 357, 8001, 1952, 2246, 303, 359, 5096, 17, 47570, 5014, 291, 4409, 290, 12070, 18, 203, 203, 45, 33453, 49711, 3538, 1736, 3911, 12038, 12070, 291, 2636, 13525, 18, 409, 1233, 406, 901, 385, 7392, 286, 421, 22107, 273, 286, 5033, 16990, 46139, 16, 225, 88, 76, 73, 1644, 44616, 291, 21370, 290, 32601, 325, 1188, 2636, 13525, 18, 314, 33453, 49711, 3538, 12489, 23781, 6477, 290, 2970, 1814, 731, 29065, 87, 291, 2636, 18, 1507, 3143, 2698, 13525, 16, 11659, 16927, 87, 423, 8571, 1233, 406, 901, 16, 49093, 3538, 34974, 282, 290, 8343, 225, 88, 76, 73, 3194, 9893, 807, 9964, 9303, 18, 3012, 5553, 643, 959, 479, 1509, 225, 88, 76, 73, 4958, 5403, 18, 23781, 1593, 7509, 1432, 225, 88, 76, 73, 4411, 1560, 6889, 325, 1188, 2827, 14063, 650, 225, 88, 76, 73, 5014, 3039, 383, 47825, 487, 2829, 17, 9152, 3484, 16, 44204, 11306, 385, 46113, 18, 203, 829, 2382, 14063, 225, 88, 76, 73, 4411, 568, 22561, 16990, 15427, 2788, 16, 225, 88, 76, 73, 23781, 14778, 292, 31367, 18, 1507, 1519, 2429, 225, 88, 76, 73, 4411, 10432, 383, 23781, 6477, 291, 225, 88, 76, 73, 7984, 13792, 6627, 1136, 5930, 326, 1308, 1873, 18, 1507, 1188, 2427, 314, 33453, 49711, 3538, 12489, 225, 88, 76, 73, 23781, 11406, 383, 4342, 262, 1325, 1342, 1476, 18, 557, 2775, 2429, 1846, 2427, 225, 88, 76, 73, 4411, 3230, 286, 7445, 4409, 383, 24243, 17, 270, 17, 11944, 566, 18, 1507, 3538, 2636, 14063, 225, 88, 76, 73, 4411, 14637, 709, 1172, 3929, 706, 2217, 4523, 18, 14890, 2382, 12896, 314, 33453, 49711, 3538, 3838, 286, 6104, 279, 285, 17, 47570, 13415, 706, 1294, 43056, 290, 7984, 5963, 18, 203, 829, 2382, 357, 19604, 286, 13795, 286, 307, 1170, 346, 32649, 366, 11659, 16927, 37, 17, 24, 6889, 18, 601, 5401, 225, 69, 430, 1448, 27791, 26183, 303, 573, 385, 7392, 286, 2206, 527, 28926, 2931, 423, 2297, 675, 5074, 326, 4471, 291, 225, 88, 76, 73, 47120, 18, 1790, 1027, 509, 5557, 16, 225, 88, 76, 73, 4411, 5583, 698, 1851, 2198, 5349 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3062, 7044, 363, 17, 7933, 12399, 25512, 290, 2970, 6196, 6889, 18, 314, 33453, 49711, 3538, 979, 10344, 4353, 225, 88, 76, 73, 11659, 16927, 16, 517, 24807, 286, 5708, 27509, 225, 88, 76, 73, 4411, 385, 16675, 698, 314, 18, 290, 8571, 33453, 47, 753, 74, 2186, 354, 91, 10164, 17333, 291, 1846, 2262, 18, 203, 203, 5826, 33453, 49711, 3538, 8001, 291, 225, 88, 76, 73, 47120, 290, 13792, 658, 225, 88, 76, 73, 1150, 2223, 18, 557, 2355, 696, 2427, 13525, 357, 32261, 13415, 658, 225, 88, 76, 73, 12660, 354, 1389, 18, 10067, 225, 88, 76, 73, 8521, 12489, 290, 29079, 16, 225, 88, 76, 73, 745, 10218, 1476, 385, 225, 69, 8670, 5081, 19148, 418, 5916, 16, 29079, 325, 1025, 2382, 18, 332, 1319, 292, 7509, 643, 4001, 1584, 8670, 39533, 366, 290, 2525, 38223, 291, 2429, 18, 409, 4411, 383, 442, 595, 385, 38938, 18, 1025, 2246, 303, 396, 281, 1025, 18, 5826, 33453, 49711, 3538, 13, 8001, 811, 3299, 18, 393, 5741, 1323, 37091, 1874, 16, 11646, 1211, 7389, 37594, 384, 291, 225, 88, 76, 73, 47120, 16, 1027, 848, 2246, 303, 396, 25, 18, 5826, 33453, 49711, 3538, 13, 11145, 811, 11646, 1211, 7389, 37594, 848, 18, 203, 829, 2429, 13525, 1025, 18, 5826, 33453, 49711, 3538, 3230, 286, 421, 22107, 273, 16, 31367, 18, 1507, 1136, 2429, 13525, 357, 30741, 797, 2025, 11502, 423, 225, 88, 76, 73, 34141, 11238, 386, 274, 18, 1025, 2246, 303, 3838, 4471, 706, 2217, 4523, 1535, 1589, 12896, 18, 4168, 5014, 16, 955, 359, 832, 2246, 303, 6497, 1653, 291, 225, 88, 76, 73, 47120, 290, 12489, 8670, 6477, 1154, 225, 88, 76, 73, 3911, 29429, 292, 225, 88, 76, 73, 47120, 18, 5794, 832, 290, 1025, 2246, 303, 82, 19604, 286, 4681, 286, 9680, 392, 325, 225, 88, 76, 73, 13084, 43, 926, 5096, 17, 47570, 17158, 291, 2355, 12896, 18, 203, 829, 2262, 12896, 832, 16, 848, 290, 1025, 18, 5826, 33453, 49711, 3538, 643, 2558, 286, 4409, 18, 1783, 5014, 643, 5802, 3230, 16, 9248, 291, 7509, 1584, 225, 88, 76, 73, 23781, 44616, 291, 6758, 4409, 811, 16990, 1294, 36073, 18, 3299, 33453, 49711, 3538, 568, 12489, 23781, 19540, 291, 225, 88, 76, 73, 2764, 10805, 290, 706, 225, 88, 76, 73, 20836, 292, 43954, 383, 1876, 819, 225, 88, 76, 73, 23781, 36707, 6065, 805, 18, 557, 2429, 12896, 3299, 33453, 49711, 3538, 40087, 698, 34367, 16, 4681, 819, 225, 88, 76, 73, 10136, 291, 4409, 18, 203, 203, 15155, 33453, 49711, 3538, 8001, 291, 225, 88, 76, 73, 13792, 16, 4409, 290, 12070, 1154, 2382, 13525, 696, 2429, 12896, 18, 4992, 745, 10218, 2797, 385, 17575, 1429, 28195, 363, 53, 1124, 291, 2427, 13525, 16, 7709, 5237, 423, 9636, 480, 16, 12070, 18, 8571, 18, 1233, 406, 901, 2970, 1188, 731, 29065, 87, 325, 345, 3929, 18, 40683, 3838, 1584, 225, 88, 76, 73, 46139, 16, 1294, 43056, 290, 36707, 44616, 18, 2519, 2262, 12896, 8571, 33453, 49711, 3538, 644, 8792, 2723, 9, 10316, 290, 6277, 13415, 286, 685, 388, 832, 619, 1302, 292, 225, 69, 1162, 6889, 18, 557, 2429, 12896, 357, 385, 24986, 286, 4681, 286, 307, 1170, 346, 225, 88, 76, 73, 11659, 16927, 37, 17, 23, 291, 2427, 696, 2485, 12896, 18, 557, 2698, 225, 88, 76, 73, 4411, 385, 19604, 286, 9378, 30392, 270, 16, 12070, 18, 203, 203, 45, 33453, 49711, 3538, 385, 2632, 286, 12070, 1001, 819, 1478, 10287, 291, 13795, 18, 225, 601, 12489, 1579, 23781, 4103, 17413, 1342, 1873, 18, 225, 1507, 1136, 2494, 11577, 357, 385, 7392, 286, 27358, 18, 225, 2591, 17876, 643, 2632, 286, 16451, 5014, 286, 9680, 392, 326, 12936, 292, 225, 88, 76, 73, 25550, 10373, 18, 4168, 7765, 643, 34784, 698, 7591, 49275, 291, 13795, 291, 2827, 696, 2209, 11577, 18, 203, 5826, 33453, 49711, 3538, 19604, 286, 9636, 480, 16, 12070, 325, 2399, 2485, 12896, 18, 601, 32261, 5096, 17, 47570, 13415, 1584, 34141, 478, 59, 19, 5258, 10528, 3686, 292, 11269, 4404, 325, 1148, 1180, 1537, 2827, 11577, 18, 601, 8021, 1188, 8395, 18, 409, 1358, 927, 357, 8021, 8395, 325, 1814, 2025, 11502, 16, 797, 2525, 38223, 290, 797, 45424, 18, 409, 3194, 2375, 5586, 345, 786, 8395, 643, 959, 18, 1507, 3275, 2827, 11577, 357, 14637, 709, 1172, 8817, 3929, 28017, 225, 88, 76, 73, 17164, 2913, 1913, 557, 1589, 11577, 357, 2483, 286, 10613, 41104, 1047, 3911, 8931, 423, 225, 88, 76, 73, 3509, 944, 9490, 359, 225, 88, 76, 73, 3537, 5349, 4595, 291, 18, 409, 1233, 406, 901, 526, 1172, 5185, 16, 325, 1260, 1589, 11577, 16, 385, 6339, 431, 225, 88, 76, 73, 5201, 38238, 18, 8571, 33453, 49711, 3538, 568, 13331, 291, 803, 4471, 18, 409, 797, 1233, 406, 12783, 21097, 286, 23781, 5508, 383, 9378, 30392, 270, 290, 1129, 649, 10110, 16, 12070, 325, 1260, 1589, 11577, 18, 203, 203, 6453, 23425, 7106, 203, 521, 1737, 35695, 14864, 225, 88, 76, 73, 421, 32296, 91, 10164, 30, 203, 203, 17668, 17, 9813, 11905, 38797, 8671, 396, 21, 1589, 14123, 696, 2427, 14123, 13, 51, 529, 334, 5358, 393, 41505, 396, 4457, 2427, 14123, 696, 2262, 10679, 13, 51, 529, 334, 296, 327, 48957, 16454, 5526, 77, 341, 86, 12299, 374, 2615, 5326, 396, 7322, 10679, 696, 591, 2636, 10679, 13, 556, 2093, 291, 2797, 51, 529, 334, 5358, 393, 41505, 396, 8209, 10679, 696, 7398, 13, 51, 529, 334, 43166, 3571, 1325, 17065, 354, 396, 3021, 2636, 10679, 696, 1814, 2827, 13918, 13, 51, 529, 334, 9763, 3694, 296, 396, 8324, 10679, 696, 2262, 13918, 13, 9813, 17, 17668, 32104, 17, 7552, 22161, 396, 2173, 2698, 13918, 696, 384, 2827, 13525, 13, 51, 529, 334, 16454, 9371, 8627, 396, 8209, 13525, 696, 4600, 2494, 14063, 13, 51, 529, 334, 43166, 37006, 14496, 5011, 81, 520, 396, 21, 2827, 14063, 696, 2636, 12896, 13, 51, 529, 334, 43166, 30725, 45386, 81, 2268, 396, 8209, 12896, 696, 2494, 11577, 13, 51, 529, 334, 43166, 6210, 15103, 373, 396, 8079, 11577, 696, 1260, 1589, 11577, 13, 203, 203, 1987, 203, 203, 18008, 203, 3011, 270, 24841, 16, 9763, 396, 9611, 4922 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 7439, 45620, 697, 411, 5551, 18075, 18, 10902, 707, 75, 697, 411, 5551, 91, 23127, 354, 91, 16945, 294, 1215, 30589, 18, 46069, 24841, 1913, 203, 19477, 25982, 16, 1506, 1896, 396, 10978, 859, 2349, 7283, 43113, 696, 409, 3062, 8976, 30, 2382, 1180, 8324, 13918, 18, 3023, 30, 17542, 2113, 19, 30562, 24038, 18, 1913, 203, 19477, 43693, 16, 1506, 1896, 16, 396, 10978, 873, 640, 3992, 11729, 696, 409, 3062, 8976, 30, 13525, 754, 2494, 14063, 16, 17542, 2113, 15837, 11763, 1563, 19477, 43693, 16, 1506, 1896, 396, 10978, 859, 556, 1493, 79, 696, 409, 3062, 8976, 30, 2382, 14063, 11, 8904, 17542, 2113, 19, 30562, 24038, 18, 1913, 203, 19477, 25982, 16, 1506, 1896, 18, 396, 10592, 859, 11553, 41462, 286, 8769, 696, 409, 10023, 3062, 46026, 291, 225, 88, 76, 73, 3551, 30, 12896, 696, 11577, 16, 13477, 24038, 18, 1563, 486, 1343, 1423, 16, 378, 18, 48, 31, 640, 1012, 311, 16, 389, 18, 43, 31, 7900, 16, 430, 18, 46, 18, 25980, 529, 28849, 292, 225, 88, 76, 73, 49054, 674, 14882, 17138, 1180, 24516, 31, 332, 24713, 12519, 16, 16492, 377, 18, 13477, 24038, 15837, 16, 3868, 18, 6286, 40062, 16, 8735, 327, 23809, 18905, 1154, 10880, 22, 16, 2555, 1148, 16, 25980, 1144, 49093, 4299, 18, 21246, 203, 47, 753, 74, 2186, 354, 91, 10164, 1669, 4299, 203, 19207, 5014, 290, 21373, 3178, 291, 14123, 203, 19207, 5014, 290, 21373, 29606, 291, 11577, 2, 0, 19785, 378, 18, 26669, 3010, 318, 225, 69, 6947, 1577, 325, 46704, 8427, 225, 291, 22254, 16, 21172, 4404, 16, 1851, 2198, 16, 345, 318, 641, 292, 225, 88, 76, 73, 46704, 8427, 9715, 4010, 16, 517, 318, 12991, 4842, 325, 225, 88, 76, 73, 2090, 8506, 292, 9715, 11585, 396, 24849, 11388, 859, 203, 203, 10683, 203, 521, 1577, 318, 225, 69, 774, 16764, 2977, 17, 16701, 3834, 16, 3846, 325, 225, 88, 76, 73, 10463, 291, 10767, 16, 585, 368, 9468, 16, 290, 27772, 18, 601, 385, 2389, 431, 5169, 5500, 1077, 18768, 290, 5358, 10532, 290, 2387, 291, 29501, 1180, 7928, 16, 290, 318, 279, 3281, 1953, 292, 225, 69, 32108, 2296, 1133, 225, 88, 76, 73, 7296, 10664, 290, 45891, 296, 6542, 18, 409, 1848, 2134, 225, 88, 76, 73, 30311, 28630, 290, 5322, 2885, 277, 16, 346, 798, 312, 2564, 16, 279, 6219, 18031, 346, 3557, 15109, 16, 290, 10767, 17685, 8513, 346, 15219, 15668, 18, 225, 409, 1577, 385, 2387, 326, 1851, 2198, 8220, 21650, 6130, 378, 18, 26669, 359, 225, 69, 2779, 1577, 18, 203, 203, 521, 1577, 385, 4842, 325, 225, 88, 76, 73, 24967, 11388, 2698, 1188, 16, 11262, 18, 203, 203, 3591, 568, 4327, 2090, 8506, 292, 9715, 11585, 15547, 291, 22254, 2307, 16, 21172, 4404, 203, 203, 1987, 203, 203, 3257, 2477, 4327, 6286, 203, 31977, 291, 22254, 16, 21172, 4404, 203, 31977, 3500, 291, 29501, 203, 31977, 325, 225, 88, 76, 73, 2090, 8506, 292, 9715, 11585, 291, 21172, 4404, 203, 34193, 1644, 29564, 11822, 291, 21172, 4404, 203, 16177, 5500, 1077, 18768, 4700, 203, 55, 507, 296, 14152, 5631, 203, 55, 507, 296, 14152, 6564, 291, 21172, 4404, 203, 9937, 8506, 292, 9715, 11585, 291, 22254, 16, 21172, 4404, 203, 34193, 4521, 12330, 5119, 291, 21172, 4404, 203, 23976, 10664, 6564, 291, 21172, 4404, 203, 1758, 7147, 9011, 291, 21172, 4404, 203, 43, 46536, 9927, 30253, 677, 2, 0, 1926, 371, 658, 1260, 16, 9367, 14054, 314, 4842, 4700, 291, 3994, 18, 225, 738, 2111, 318, 225, 69, 1241, 292, 803, 4700, 291, 225, 88, 76, 73, 6820, 292, 20836, 292, 43954, 18, 203, 203, 829, 225, 88, 76, 73, 1851, 6248, 16, 225, 88, 76, 73, 3463, 4842, 1848, 10004, 286, 225, 69, 1848, 388, 609, 3834, 8172, 10237, 359, 961, 292, 1403, 11263, 16, 5939, 16, 388, 5068, 12375, 31, 14054, 314, 6495, 371, 1059, 3285, 286, 339, 689, 16480, 805, 292, 8071, 1418, 2656, 38705, 385, 10963, 431, 225, 69, 11985, 291, 225, 88, 76, 73, 6350, 290, 8243, 10235, 3408, 14186, 18, 4121, 4842, 16, 8238, 12250, 371, 17658, 325, 225, 88, 76, 73, 17241, 3842, 286, 225, 69, 1848, 526, 3834, 388, 25770, 18, 557, 3994, 16, 225, 88, 76, 73, 7704, 326, 8483, 811, 225, 88, 76, 73, 10235, 396, 45453, 29564, 290, 16107, 22380, 13, 3408, 5969, 27758, 346, 2764, 11018, 16, 225, 69, 1928, 17, 16275, 2075, 274, 1502, 1657, 12587, 431, 225, 88, 76, 73, 3625, 326, 10669, 16, 5739, 290, 10549, 31, 1491, 7655, 427, 225, 69, 5810, 286, 19183, 290, 22048, 225, 88, 76, 73, 3247, 7384, 18, 203, 203, 21912, 203, 203, 26341, 203, 203, 3591, 568, 203, 31353, 3299, 14, 4842, 4700, 325, 225, 88, 76, 73, 20836, 292, 43954, 203, 203, 9824, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 9937, 11018, 5174, 326, 3994, 17951, 203, 3987, 296, 292, 43954, 203, 40639, 292, 4842, 4700, 325, 225, 88, 76, 73, 20836, 292, 43954, 2, 0, 521, 19502, 1980, 21240, 318, 279, 9454, 431, 25416, 389, 4870, 22240, 10434, 30377, 18, 738, 9454, 318, 2750, 770, 1349, 383, 18479, 24122, 18, 1633, 290, 10434, 40, 21435, 18, 1633, 18, 738, 9454, 385, 5758, 4997, 359, 689, 38, 8107, 1980, 4169, 380, 6, 811, 225, 88, 76, 73, 2804, 1565, 689, 6685, 343, 565, 47262, 2656, 203, 203, 13339, 8483, 203, 6, 27, 4575, 601, 354, 6, 774, 832, 30, 825, 203, 6, 4883, 985, 3628, 47112, 6, 774, 384, 30, 1791, 203, 6, 7148, 27155, 6, 774, 832, 30, 6181, 203, 6, 59, 6779, 6, 774, 685, 30, 2173, 203, 6, 521, 31214, 262, 396, 7158, 5458, 20503, 774, 685, 30, 6011, 203, 6, 521, 28424, 2115, 6, 774, 685, 30, 3859, 203, 6, 1200, 1498, 409, 3888, 6, 774, 685, 30, 5805, 203, 6, 521, 3703, 6, 774, 1025, 30, 6181, 203, 203, 39636, 203, 46443, 954, 5054, 431, 10434, 30377, 203, 20954, 431, 2694, 11581, 203, 15334, 431, 6476, 2212, 6609, 203, 44142, 431, 28435, 12443, 203, 44142, 431, 3571, 203, 203, 13452, 4796, 44447, 203, 24552, 30377, 6847, 2, 0, 17844, 38679, 34838, 14688, 318, 225, 69, 591, 17, 10291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9454, 9204, 225, 69, 2013, 1963, 16, 4997, 431, 225, 88, 76, 73, 3395, 2532, 4679, 2804, 11089, 1755, 468, 25279, 18, 5142, 38679, 34838, 14688, 385, 2740, 754, 48241, 23746, 1795, 4504, 349, 7025, 325, 1188, 2698, 3486, 18, 601, 385, 568, 307, 34450, 346, 4504, 34270, 308, 15379, 48138, 21914, 325, 225, 69, 12518, 15501, 291, 3008, 18, 203, 203, 521, 1963, 689, 17844, 38679, 34838, 14688, 6, 385, 5758, 2740, 359, 225, 88, 76, 73, 2243, 2414, 292, 225, 88, 76, 73, 1560, 17, 1530, 6971, 2353, 2952, 225, 88, 76, 73, 32281, 1642, 286, 225, 88, 76, 73, 40578, 16, 573, 385, 2740, 291, 4589, 18, 203, 203, 521, 1963, 526, 2814, 337, 3026, 318, 2498, 423, 225, 88, 76, 73, 19411, 292, 225, 88, 76, 73, 3395, 6432, 290, 14651, 18425, 472, 32771, 25891, 76, 719, 18, 203, 203, 13339, 8483, 12088, 689, 17844, 38679, 34838, 14688, 6, 3059, 1180, 591, 30, 7298, 203, 203, 16417, 1755, 468, 25279, 6847, 203, 10592, 44447, 2, 0, 19761, 694, 9317, 3694, 9383, 225, 396, 7675, 3498, 16, 6799, 696, 2382, 1260, 16, 3384, 13, 385, 225, 69, 1968, 8286, 2946, 596, 385, 225, 69, 19999, 291, 225, 88, 76, 73, 9198, 48566, 291, 7884, 18, 731, 2533, 326, 225, 88, 76, 73, 5402, 27558, 18, 3694, 9383, 526, 1657, 385, 14232, 13825, 291, 4488, 36633, 325, 2382, 1136, 16, 3384, 819, 458, 385, 4001, 5071, 325, 2382, 1260, 1027, 6626, 346, 522, 3198, 16, 3845, 290, 31436, 18, 34435, 385, 225, 69, 3223, 292, 1560, 396, 47, 445, 6285, 16, 11647, 16, 34435, 8402, 18, 954, 49901, 13, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 17518, 4686, 203, 10427, 5850, 203, 23260, 17, 4387, 8286, 1865, 203, 5013, 423, 1429, 18068, 16, 4278, 203, 24574, 27558, 1865, 203, 4849, 39372, 5850, 291, 4278, 203, 31581, 431, 34493, 291, 225, 88, 76, 73, 1851, 2198, 203, 17668, 3556, 13751, 31940, 203, 32555, 1865, 423, 4278, 203, 37634, 20211, 1865, 203, 10049, 1077, 69, 27558, 1865, 203, 43, 7677, 6532, 23212, 1865, 203, 35031, 6516, 27558, 1865, 203, 4381, 18048, 24557, 1865, 203, 43673, 6284, 14486, 1039, 1865, 203, 15906, 4111, 17, 49622, 37477, 1865, 203, 59, 24310, 23017, 27558, 1865, 203, 825, 88, 76, 17, 4577, 4958, 17, 4387, 21468, 203, 2866, 334, 17, 4577, 4958, 17, 4387, 21468, 2, 0, 34667, 423, 225, 69, 12512, 7947, 318, 225, 69, 797, 838, 748, 431, 12225, 49127, 18, 601, 385, 49127, 526, 2630, 3232, 748, 290, 18454, 383, 225, 88, 76, 73, 30020, 22334, 7603, 16, 3023, 325, 1148, 2355, 7752, 18, 409, 641, 292, 22294, 27396, 385, 2533, 431, 225, 88, 76, 73, 12319, 16, 9850, 7063, 2212, 5274, 16, 326, 573, 458, 2524, 2639, 27972, 290, 225, 385, 11925, 326, 1866, 7146, 23440, 11, 383, 225, 88, 76, 73, 7752, 24692, 11137, 20868, 6894, 18, 409, 2551, 385, 225, 88, 76, 73, 2630, 5960, 1133, 49127, 290, 3962, 10663, 17873, 16, 596, 644, 5782, 479, 292, 49127, 526, 3529, 3232, 5066, 290, 703, 499, 325, 286, 2152, 49127, 526, 1358, 748, 326, 5975, 16289, 3703, 291, 4597, 18, 203, 203, 521, 748, 318, 225, 88, 76, 73, 2630, 290, 2243, 40340, 433, 291, 49127, 526, 571, 3149, 30460, 9706, 689, 17480, 6575, 25183, 46598, 2995, 1597, 652, 21458, 431, 409, 30763, 45585, 8823, 290, 409, 12831, 386, 29910, 557, 409, 17234, 18, 203, 203, 521, 748, 4835, 225, 69, 891, 2101, 292, 16908, 383, 709, 15706, 1966, 286, 225, 69, 4573, 827, 279, 1367, 3551, 3023, 49067, 16, 2533, 431, 5274, 16, 318, 35242, 431, 225, 69, 11449, 292, 4469, 18, 409, 8681, 6474, 292, 409, 17404, 16, 4584, 37618, 1077, 16, 4184, 225, 88, 76, 73, 748, 359, 689, 3150, 662, 4495, 290, 40014, 17, 84, 1157, 8022, 1556, 1099, 346, 745, 292, 49127, 526, 548, 16, 2375, 16, 225, 88, 76, 73, 4293, 3918, 385, 8348, 8553, 16, 346, 36013, 3584, 1473, 15041, 357, 359, 689, 69, 22480, 6, 290, 2212, 5409, 16, 292, 409, 3990, 6320, 16, 28724, 16, 689, 54, 333, 1473, 526, 548, 318, 279, 7808, 4994, 290, 357, 3218, 664, 314, 2383, 1792, 357, 1556, 203, 203, 521, 748, 1509, 346, 49127, 526, 409, 30763, 45585, 8823, 290, 409, 12831, 386, 29910, 557, 409, 17234, 5789, 291, 6956, 806, 819, 519, 4720, 15452, 326, 961, 39977, 2016, 291, 225, 88, 76, 73, 1750, 292, 291, 17, 5759, 17, 2742, 8681, 18, 409, 24032, 326, 442, 20486, 44400, 290, 2296, 385, 2220, 1548, 431, 34566, 319, 1385, 94, 291, 522, 5755, 1184, 557, 17, 61, 262, 17, 32806, 7603, 30, 3194, 20868, 5383, 16, 573, 568, 2134, 225, 69, 3512, 345, 19903, 15895, 423, 225, 69, 12512, 7947, 290, 709, 4720, 9232, 18, 319, 1385, 94, 504, 568, 15506, 225, 88, 76, 73, 748, 359, 554, 292, 225, 88, 76, 73, 724, 286, 339, 28434, 1740, 689, 77, 82, 17, 5759, 17, 2742, 6, 431, 225, 69, 6474, 16, 346, 3833, 8379, 291, 522, 2072, 326, 409, 13159, 15041, 225, 88, 76, 73, 2448, 11449, 291, 225, 88, 76, 73, 748, 359, 689, 88, 76, 73, 291, 17, 5759, 17, 2742, 1544, 343, 779, 16966, 2656, 203, 203, 43877, 203, 203, 18711, 354, 694, 40201, 696, 39390, 93, 2701, 806, 1367, 16, 633, 1532, 504, 652, 17868, 8343, 326, 798, 806, 359, 1873, 292, 225, 69, 2883, 573, 22732, 754, 633, 5299, 18, 1236, 504, 644, 286, 21969, 798, 19096, 2141, 291, 633, 969, 517, 14989, 225, 69, 2925, 292, 22328, 581, 633, 45375, 18, 1236, 318, 823, 29269, 2986, 969, 291, 3023, 526, 3551, 17, 13714, 1154, 225, 88, 76, 73, 7423, 87, 573, 780, 10004, 286, 359, 616, 88, 76, 73, 19815, 8590, 3291, 203, 203, 2989, 28848, 27396, 696, 39390, 93, 3815, 806, 292, 2184, 18, 22294, 385, 1912, 225, 69, 24414, 11449, 4467, 596, 5044, 290, 8001, 291, 13116, 763, 3866, 1154, 225, 88, 76, 73, 7423, 87, 18, 731, 504, 652, 1576, 423, 3023, 326, 2399, 806, 517, 504, 2891, 286, 2877, 286, 225, 88, 76, 73, 3551, 17, 13714, 18, 203, 203, 54, 989, 40201, 696, 332, 1857 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 7191, 17, 15425, 16, 780, 318, 225, 69, 50225, 290, 4467, 292, 225, 69, 2448, 17, 26642, 1740, 1392, 521, 6699, 37964, 6364, 1236, 2654, 346, 633, 14096, 46139, 694, 18, 203, 203, 16300, 23659, 41268, 774, 332, 1857, 31177, 16, 780, 318, 225, 69, 2260, 292, 1392, 521, 6699, 37964, 6364, 1236, 1541, 10101, 286, 1209, 225, 88, 76, 73, 4304, 1133, 1592, 292, 225, 88, 76, 73, 11449, 18, 203, 203, 16300, 12660, 380, 1982, 774, 332, 1857, 11472, 16, 780, 318, 225, 88, 76, 73, 745, 2069, 17, 21470, 290, 12962, 292, 225, 88, 76, 73, 1220, 6699, 37964, 18, 203, 203, 19818, 18295, 203, 203, 10571, 38369, 203, 203, 27, 2355, 7752, 383, 30020, 22334, 7603, 16, 3023, 18, 48357, 431, 10663, 411, 323, 391, 18, 203, 18711, 354, 694, 40201, 774, 39485, 16188, 203, 2989, 28848, 27396, 774, 2212, 5274, 203, 54, 989, 40201, 774, 5382, 90, 3905, 28612, 32875, 203, 16300, 23659, 41268, 774, 14816, 5263, 203, 16300, 12660, 380, 1982, 774, 18808, 42603, 8561, 203, 203, 15490, 22152, 396, 32638, 1077, 13, 203, 203, 2598, 409, 31206, 24144, 4511, 16, 14053, 10211, 18, 48357, 431, 13166, 26945, 18, 203, 18711, 354, 694, 40201, 774, 4648, 45083, 203, 2989, 28848, 27396, 774, 13805, 39462, 203, 54, 989, 40201, 774, 21749, 1218, 899, 203, 16300, 23659, 41268, 774, 225, 203, 16300, 12660, 380, 1982, 774, 203, 203, 14646, 3023, 22152, 203, 203, 916, 1589, 6485, 383, 4367, 11269, 7603, 16, 3023, 18, 48357, 4584, 12261, 7194, 18, 203, 203, 2989, 28848, 27396, 774, 2212, 29965, 203, 18711, 354, 694, 40201, 774, 11967, 13930, 203, 6976, 9155, 774, 21003, 30462, 203, 6976, 9155, 774, 10710, 88, 4395, 30462, 203, 6976, 9155, 774, 351, 10128, 27086, 203, 203, 9227, 3023, 25773, 203, 203, 2288, 2427, 2730, 383, 225, 88, 76, 73, 957, 3089, 69, 7603, 16, 3023, 18, 48357, 431, 13119, 8759, 321, 18, 203, 18711, 354, 694, 40201, 774, 35312, 22046, 203, 2989, 28848, 27396, 774, 4584, 37897, 203, 54, 989, 40201, 774, 17564, 3757, 203, 16300, 23659, 41268, 774, 47918, 7364, 272, 203, 16300, 12660, 380, 1982, 774, 14816, 3537, 1978, 203, 203, 9758, 2576, 9664, 12592, 16, 4784, 396, 10978, 859, 15895, 87, 423, 279, 13878, 1295, 7947, 30, 12225, 49127, 526, 46464, 12071, 567, 9664, 26342, 16, 25484, 290, 9492, 3012, 878, 93, 18295, 396, 9227, 859, 15895, 423, 225, 69, 12512, 7947, 30, 32055, 10027, 8098, 18, 203, 203, 1987, 203, 203, 3482, 597, 431, 12225, 49127, 203, 16810, 5066, 203, 3482, 597, 917, 291, 3023, 2, 0, 521, 32516, 5255, 318, 225, 69, 9915, 6721, 2404, 291, 17283, 22443, 16, 32516, 1364, 4589, 18, 409, 1465, 318, 641, 292, 225, 88, 76, 73, 31795, 39682, 4928, 290, 318, 2533, 325, 5569, 13327, 10857, 18, 203, 203, 27701, 16120, 203, 203, 28016, 203, 203, 15072, 7228, 203, 203, 3591, 568, 203, 17283, 22443, 5255, 203, 203, 1987, 203, 203, 3257, 2477, 225, 203, 16679, 1622, 203, 2860, 42, 2247, 17951, 203, 2053, 52, 39682, 4928, 203, 43479, 3696, 9915, 14719, 203, 43953, 14719, 291, 32516, 203, 21430, 291, 17283, 22443, 203, 18644, 396, 10358, 13, 2141, 291, 32516, 203, 4639, 13658, 12136, 2141, 3178, 291, 4589, 2, 0, 22710, 17887, 49204, 945, 893, 396, 49859, 696, 1519, 2494, 18196, 383, 755, 31951, 1618, 367, 13, 385, 225, 69, 3395, 8868, 39165, 472, 16, 49357, 290, 430, 1256, 6217, 9315, 472, 18, 225, 1728, 25461, 6956, 385, 3178, 359, 279, 7042, 292, 4977, 43083, 8868, 16802, 11783, 18, 225, 1218, 522, 6956, 385, 9489, 431, 522, 548, 359, 225, 69, 2108, 1323, 383, 44573, 42214, 16, 819, 393, 5992, 366, 4553, 5876, 307, 17, 27706, 466, 532, 225, 88, 76, 73, 1637, 290, 5471, 708, 940, 12938, 49204, 945, 893, 644, 39298, 18, 203, 203, 10449, 203, 6123, 1812, 945, 893, 2483, 522, 2269, 431, 7960, 24162, 290, 385, 27670, 359, 225, 69, 13208, 2922, 286, 28780, 18, 12485, 28780, 290, 28166, 458, 7051, 430, 1256, 6217, 33245, 290, 8868, 16802, 383, 5438, 811, 225, 88, 76, 73, 4519, 292, 421, 28432, 10931, 520, 83, 290, 17974, 37228, 1233, 1812, 70, 947, 18, 557, 28166, 458, 385, 225, 69, 2260, 292, 225, 88, 76, 73, 3395, 22739, 3929, 383, 26176, 16, 290, 32643, 13478, 522, 6133, 18, 557, 26234, 458, 9067, 522, 12760, 16, 325, 16059, 312, 14479, 1486, 18, 50130, 458, 2404, 225, 69, 1319, 292, 5267, 5225, 291, 4409, 18, 203, 203, 6123, 1812, 945, 893, 3179, 891, 15964, 292, 8868, 16802, 8049, 18, 731, 385, 4324, 225, 88, 76, 73, 5935, 8868, 16802, 17279, 292, 522, 5260, 18, 203, 203, 2177, 32261, 279, 15167, 1512, 286, 10125, 225, 88, 76, 73, 11476, 4819, 292, 17904, 23934, 16, 225, 88, 76, 73, 7754, 292, 8868, 16802, 46012, 1486, 18, 731, 724, 3179, 225, 69, 3208, 292, 8868, 16802, 290, 16825, 11783, 16, 479, 543, 388, 1490, 3305, 286, 442, 3508, 396, 45425, 1180, 6188, 873, 290, 857, 225, 69, 42794, 292, 17904, 23934, 526, 884, 2016, 396, 39431, 1180, 2566, 859, 3953, 325, 225, 88, 76, 73, 7641, 385, 22425, 431, 522, 2371, 18, 9580, 28173, 303, 504, 928, 345, 522, 8491, 292, 803, 11783, 385, 689, 22281, 1444, 292, 10021, 286, 339, 22464, 325, 326, 4375, 6864, 2995, 517, 345, 786, 554, 2935, 504, 17780, 225, 88, 76, 73, 4506, 18, 203, 203, 6123, 1812, 945, 893, 568, 41540, 291, 7953, 16, 383, 225, 69, 2223, 650, 37418, 644, 2162, 286, 1620, 225, 69, 6398, 3508, 17825, 545, 423, 21624, 14427, 277, 388, 14503, 10147, 18, 225, 11165, 292, 522, 548, 385, 325, 225, 88, 76, 73, 10492, 389, 3905, 2491, 2223, 292, 19150, 7953, 18, 557, 23836, 458, 5476, 225, 69, 369, 1718, 37724, 346, 225, 88, 76, 73, 1565, 292, 1470, 43868, 20771, 311, 18, 738, 3670, 318, 915, 325, 3385, 383, 225, 88, 76, 73, 49726, 18, 731, 385, 225, 88, 76, 73, 724, 49357, 286, 16398, 405, 225, 88, 76, 73, 44569, 292, 225, 88, 76, 73, 3440, 26954, 1470, 2895, 83, 3126, 292, 19150, 7953, 383, 225, 88, 76, 73, 528, 2975, 1513, 17, 53, 69, 11, 349, 3512 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 292, 44573, 42214, 16, 522, 10644, 16869, 291, 1579, 12907, 292, 1863, 3179, 291, 225, 88, 76, 73, 1846, 806, 292, 225, 88, 76, 73, 452, 88, 76, 3503, 18, 203, 203, 3018, 522, 548, 359, 279, 16398, 1258, 504, 12402, 1977, 12942, 16, 449, 2070, 423, 393, 5992, 366, 4553, 5876, 16, 225, 88, 76, 73, 7754, 292, 2875, 6398, 430, 1256, 6217, 33245, 18, 22710, 17887, 49204, 945, 893, 21305, 383, 44573, 42214, 16, 7953, 423, 25374, 286, 23142, 18, 4553, 5876, 385, 6081, 225, 88, 76, 73, 33316, 286, 2108, 660, 431, 421, 28432, 10931, 520, 83, 16, 1357, 292, 225, 88, 76, 73, 40231, 788, 3849, 16, 819, 49204, 945, 893, 644, 9911, 345, 660, 385, 2896, 543, 286, 339, 1100, 660, 18, 225, 4553, 5876, 385, 592, 6510, 383, 670, 644, 652, 1772, 16, 290, 979, 449, 861, 872, 522, 2824, 18, 225, 731, 3972, 30, 203, 203, 6, 5733, 1560, 806, 660, 644, 652, 225, 88, 76, 73, 20286, 292, 1898, 5332, 893, 526, 548, 383, 225, 88, 76, 73, 5138, 4838, 967, 292, 44573, 42214, 18, 225, 731, 644, 652, 2123, 225, 69, 33316, 286, 548, 660, 326, 2176, 806, 31, 786, 3407, 643, 4325, 396, 69, 1162, 14568, 2960, 643, 959, 1708, 873, 660, 385, 786, 1514, 292, 827, 1228, 643, 1100, 16, 786, 4189, 8491, 18, 225, 731, 49478, 345, 458, 644, 6277, 286, 10603, 225, 88, 76, 73, 3927, 292, 5870, 43509, 573, 458, 979, 449, 1028, 286, 4844, 16, 290, 22732, 527, 225, 88, 76, 73, 4819, 292, 225, 88, 76, 73, 49810, 292, 225, 88, 76, 73, 377, 334, 19592, 291, 522, 4123, 1556, 203, 203, 6123, 1812, 945, 893, 385, 541, 761, 4737, 345, 357, 385, 3110, 286, 339, 24925, 286, 1880, 950, 345, 225, 88, 76, 73, 33316, 644, 652, 13400, 7170, 291, 1715, 458, 1882, 785, 16, 290, 458, 979, 449, 2957, 670, 644, 4527, 1535, 629, 806, 1708, 18, 203, 203, 6123, 5332, 893, 11324, 286, 225, 88, 76, 73, 12942, 291, 522, 225, 88, 37556, 8491, 292, 522, 7922, 18, 225, 1218, 225, 88, 76, 73, 2066, 385, 345, 522, 548, 9422, 3689, 225, 69, 1909, 292, 7922, 292, 44569, 290, 42871, 16, 1027, 4553, 5876, 16, 431, 266, 8244, 225, 88, 76, 73, 43599, 345, 49204, 945, 893, 1736, 2578, 16, 385, 1316, 286, 3847, 225, 88, 76, 73, 2178, 7714, 1253, 292, 225, 88, 76, 73, 3440, 19592, 18, 225, 4553, 5876, 526, 548, 1249, 6398, 4049, 3178, 4553, 5876, 526, 6956, 16, 290, 3346, 598, 17868, 8343, 345, 292, 49204, 945, 893, 18, 225, 10100, 332, 18, 5180, 504, 928, 345, 689, 6123, 5332, 893, 385, 449, 279, 49357, 290, 7463, 451, 594, 2584, 225, 88, 76, 73, 18449, 291, 2247, 292, 6148, 458, 882, 3289, 286, 25797, 788, 20099, 1556, 203, 203, 3134, 1953, 292, 225, 88, 76, 73, 12250, 292, 49204, 945, 893, 526, 548, 318, 345, 1124, 292, 225, 88, 76, 73, 452, 35884, 290, 40174, 1818, 11386, 15041, 1957, 2141, 291, 225, 88, 76, 73, 13306, 292, 225, 88, 76, 73, 1470, 43868, 4901, 1712, 286, 1303, 423, 345, 6199, 526, 21624, 643, 1100, 431, 393, 5992, 366, 4553, 5876, 291, 225, 88, 76, 73, 22878, 42281, 1736, 431, 49204, 945, 893, 526, 4164, 30987, 292, 345, 21624, 18, 203, 203, 829, 20567, 49204, 945, 893, 11558, 225, 69, 7125, 292, 522, 3208, 286, 225, 88, 76, 73, 4668, 292, 39432, 292, 755, 31951, 1618, 367, 16, 573, 318, 915, 325, 3385, 383, 709, 4680, 292, 12536, 4950, 290, 9574, 5695, 18, 203, 203, 13796, 203, 40169, 820, 2786, 7837, 6756, 29161, 42634, 20927, 43354, 461, 5861, 320, 476, 225, 88, 76, 1812, 70, 392, 16, 2511, 574, 299, 486, 5821, 10166, 937, 267, 41060, 22764, 2215, 5318, 42979, 16, 603, 396, 49030, 873, 12357, 18, 3059, 27929, 1180, 44122, 18, 203, 40169, 820, 486, 2215, 2693, 225, 88, 76, 16752, 4125, 486, 304, 11, 320, 769, 420, 396, 30134, 7225, 20927, 873, 2511, 574, 299, 486, 5821, 10166, 937, 267, 41060, 22764, 2215, 5318, 42979, 16, 603, 396, 47692, 873, 12357, 18, 3059, 1537, 278, 74, 18, 203, 7871, 382, 997, 461, 312, 14479, 1486, 73, 30723, 7461, 7225, 16, 266, 272, 18200, 868, 84, 3191, 1844, 3198, 1753, 622, 30723, 7461, 38259, 16, 430, 18, 32285, 20146, 16, 5438, 16, 26234, 18, 203, 2480, 272, 1844, 5965, 555, 486, 304, 11, 22710, 1256, 84, 476, 418, 40975, 44484, 396, 30151, 16, 25536, 13, 203, 3523, 312, 1812, 2249, 2095, 486, 304, 11, 41, 1256, 84, 476, 22764, 304, 11, 1812, 6151, 3673, 2786, 476, 396, 30151, 16, 24775, 13, 203, 7871, 382, 997, 304, 11, 1812, 90, 1777, 10660, 3673, 1844, 18100, 448, 3673, 697, 976, 37584, 2397, 1707, 43354, 304, 11, 752, 38259, 18827, 1256, 84, 476, 16, 430, 18, 32285, 20146, 16, 5438, 16, 23836, 18, 203, 9655, 309, 275, 90, 24770, 49214, 19854, 294, 11, 37, 1553, 42214, 16, 23854, 17, 44661, 16, 500, 476, 17, 26987, 89, 291, 403, 831, 538, 697, 49214, 19854, 1143, 16, 430, 18, 32285, 20146, 16, 5438, 16, 22163, 18, 203, 20529, 697, 14030, 71, 769, 87, 2786, 7837, 486, 2215, 44458, 812, 7628, 3673, 2090, 73, 396, 30151, 30, 23836, 13, 203, 14880, 71, 332, 18, 10949, 83, 622, 16, 9655, 309, 275, 90, 24770, 49214, 19854, 294, 11, 37, 1553, 42214, 16, 24238, 17, 42823, 16, 500, 476, 17, 26987, 89, 291, 403, 831, 538, 697, 49214, 19854, 1143, 16, 430, 18, 32285, 20146, 16, 5438, 16, 21386, 17, 38439, 18, 1563, 980, 30938, 17699, 7628, 975, 22764, 304, 11, 19691, 3090, 486, 2215, 9214, 30723, 7461, 38259, 16, 2085, 382, 997, 2215, 12751, 42979, 486, 304, 11, 22710, 1256, 84, 476, 16, 309, 8253, 2866, 16, 44458, 812, 7628, 3673, 486, 304, 11, 1812, 33862, 697, 289, 947, 272, 225, 19691, 9970, 16, 430, 18, 32285, 20146, 16, 5438, 16, 19611, 18, 203, 203, 9824, 203, 203, 1987, 203, 52, 4863, 1081, 21152, 16, 3806, 22710, 45810, 8774, 57, 16, 18827, 17887, 16, 46763, 2090, 294, 11, 419, 18450, 486, 304, 11, 407, 2983, 291, 3395 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 346, 5936, 39947, 290, 225, 69, 1046, 1629, 423, 345, 292, 4553, 5876, 18, 203, 203, 3257, 2477, 21246, 203, 49859, 4686, 203, 35239, 5850, 203, 26396, 39165, 1131, 203, 13937, 430, 1256, 6217, 9315, 1131, 203, 5013, 423, 430, 420, 17, 311, 17, 48, 8890, 2, 0, 33335, 37612, 79, 2476, 225, 396, 4309, 2636, 12896, 696, 1136, 2429, 2451, 13, 385, 279, 2764, 2107, 4236, 4499, 1968, 13243, 5717, 12796, 596, 2533, 291, 225, 88, 76, 73, 7423, 87, 290, 6799, 87, 18, 731, 2533, 383, 8886, 1398, 326, 3677, 7996, 16, 3994, 290, 28718, 225, 359, 225, 69, 2836, 290, 383, 2595, 1398, 326, 48493, 290, 4342, 1978, 16, 359, 225, 69, 2836, 388, 2836, 265, 18, 73, 18, 1319, 685, 388, 832, 16, 388, 1025, 18, 203, 203, 15924, 203, 12633, 37612, 79, 2476, 385, 3157, 291, 48493, 16, 28718, 16, 3994, 16, 290, 458, 3904, 9453, 13366, 18, 203, 203, 25156, 2269, 203, 203, 11705, 27107, 203, 44, 43784, 2476, 1825, 10937, 326, 3994, 1027, 383, 4342, 1978, 291, 10842, 1584, 8184, 16, 291, 11153, 1584, 8184, 16, 290, 4409, 16, 290, 1825, 10937, 326, 3677, 7996, 1027, 383, 4342, 1978, 291, 6799, 1584, 1063, 5911, 16, 291, 225, 88, 76, 73, 6799, 17013, 3556, 2107, 4236, 1584, 4409, 396, 16287, 873, 1063, 5911, 396, 21, 17, 939, 873, 290, 3610, 396, 16287, 5507, 291, 11262, 1584, 4409, 16, 4409, 396, 16287, 873, 290, 1063, 5911, 396, 23, 6537, 5507, 291, 225, 88, 76, 73, 10547, 17013, 3556, 2107, 4236, 1584, 3610, 16, 4409, 16, 1063, 5911, 396, 21, 17, 939, 873, 290, 3610, 31, 291, 11124, 1584, 3610, 396, 23, 6537, 5507, 290, 291, 10945, 1584, 4409, 396, 22, 6537, 873, 3610, 396, 23, 6537, 873, 290, 1063, 5911, 396, 23, 6537, 859, 1078, 225, 88, 76, 73, 10945, 3677, 7996, 16826, 2226, 286, 3610, 290, 1063, 5911, 16, 37612, 79, 2476, 385, 3249, 359, 9939, 18, 203, 203, 31458, 3556, 2269, 203, 44, 43784, 2476, 1698, 522, 2269, 383, 48493, 291, 12902, 16, 290, 1737, 225, 88, 76, 73, 5686, 1626, 286, 1234, 292, 3935, 25036, 16, 1509, 346, 31326, 10516, 29987, 1007, 458, 21787, 2154, 48493, 526, 724, 13537, 325, 4201, 2116, 2636, 11777, 18, 731, 3230, 286, 4342, 1978, 291, 11488, 16, 346, 5334, 458, 6497, 1535, 22000, 291, 10307, 18, 37612, 79, 2476, 2406, 359, 225, 69, 38711, 981, 22000, 291, 4109, 18, 225, 1728, 2371, 385, 3823, 291, 2429, 2451, 18, 203, 203, 32807, 4236, 10023, 10402, 203, 12633, 37612, 79, 2476, 2533, 1736, 29334, 265, 18, 73, 18, 1319, 832, 16, 291, 4342, 1978, 526, 2399, 1180, 2288, 6912, 658, 2633, 28810, 291, 225, 88, 76, 73, 10547, 1180, 10530, 28718, 2307, 4236, 10023, 1154, 225, 88, 76, 73, 10547, 1180, 10530, 1569, 383, 6284, 366, 9231, 10855, 16, 40118, 8415, 325, 4201, 2967, 2485, 10547, 16, 458, 2533, 1736, 17, 291, 225, 88, 76, 73, 1260, 1180, 916, 10136, 431, 48493, 291, 225, 88, 76, 73, 11124, 1180, 10559, 225, 28718, 2307, 4236, 10023, 383, 1858, 20930, 366, 9231, 325, 4201, 2272, 2485, 11124, 16, 290, 2533, 1736, 17, 291, 225, 88, 76, 73, 1148, 1180, 2455, 10136, 431, 21779, 975, 291, 225, 88, 76, 73, 10858, 1180, 8612, 225, 28718, 2307, 4236, 10023, 383, 4795, 2409, 16, 48493, 325, 4201, 832, 2485, 10858, 18, 203, 203, 35144, 22, 27396, 17353, 19622, 10023, 10402, 203, 12633, 37612, 79, 2476, 2533, 1054, 29334, 265, 18, 73, 18, 1319, 685, 16, 291, 4342, 1978, 526, 1669, 1180, 20, 2502, 346, 40118, 8415, 291, 225, 88, 76, 73, 10945, 9817, 22, 27396, 17353, 19622, 2243, 383, 409, 2474, 2014, 16, 4342, 1978, 325, 5855, 1946, 2698, 10945, 16, 290, 2533, 1054, 17, 291, 225, 88, 76, 73, 1136, 1180, 25, 6912, 291, 225, 88, 76, 73, 32103, 383, 6284, 366, 9231, 325, 5855, 3436, 2494, 10858, 18, 203, 203, 29642, 526, 1911, 18, 26, 19622, 10023, 10402, 203, 12633, 37612, 79, 2476, 2533, 1736, 29334, 265, 18, 73, 18, 1319, 832, 16, 291, 4342, 1978, 526, 1148, 1180, 1996, 10136, 431, 18334, 291, 225, 88, 76, 73, 10547, 1180, 10530, 12951, 526, 1911, 18, 26, 19622, 10023, 1154, 225, 88, 76, 73, 10547, 1180, 10530, 1569, 383, 6729, 3675, 15657, 16, 378, 48801, 325, 4201, 2357, 2209, 11124, 18, 203, 203, 14738, 11520, 2200, 203, 12633, 37612, 79, 2476, 526, 6328, 11520, 2200, 383, 4342, 1978, 1837, 1128, 291, 11086, 18, 225, 557, 225, 88, 76, 73, 10687, 1063, 4575, 37703, 37612, 79, 2476, 385, 6568, 225, 69, 8082, 292, 225, 88, 76, 73, 6759, 292, 225, 88, 76, 73, 3194, 8918, 396, 49, 13730, 13, 326, 522, 1382, 286, 13243, 5717, 18, 203, 203, 1987, 203, 203, 9758, 2576, 203, 203, 3257, 2477, 203, 12, 5768, 1581, 431, 2343, 18, 40928, 18, 3735, 13, 2107, 4236, 6799, 203, 12, 5768, 1581, 431, 2343, 18, 40928, 18, 3735, 13, 2107, 4236, 10547, 203, 1989, 3677, 7996, 1825, 225, 88, 76, 73, 2107, 4236, 203, 2989, 6838, 968, 225, 88, 76, 73, 14826, 292, 10547, 203, 6948, 16084, 689, 16684, 35151, 5508, 522, 836, 658, 6, 383, 394, 80, 26213, 18, 1720, 18, 3070, 203, 203, 29131, 4686, 203, 8727, 5850, 203, 33258, 2763, 13243, 5717, 962, 1865, 203, 9327, 13243, 5717, 1865, 203, 9083, 7996, 2763, 13243, 5717, 962, 37541, 203, 9083, 7996, 2763, 13243, 5717, 962, 1865, 203, 48, 752, 27537, 13243, 5717, 962, 1865, 203, 9807, 292, 225, 88, 76, 73, 6759, 292, 225, 88, 76, 73, 3194, 8918, 203, 31458, 5717, 14248, 203, 31458, 5717, 2176, 17, 21165, 3126, 203, 31458, 5717, 1865, 423, 48493, 203, 15059, 1978, 3537, 30308, 37541, 203, 15059, 1978, 3537, 30308, 1865, 203, 59, 5327, 19808, 1865, 2, 0, 49520, 18802, 689, 58, 80, 2439, 6, 603, 3070, 710, 13195, 15267, 20581, 3157, 384, 2262, 11124, 13, 318, 225, 69, 23383, 6882, 3561, 326, 225, 88, 76, 73, 25124, 72, 5967, 16595, 292, 225, 88, 76, 73, 4497, 16893, 3693, 18, 203, 203, 33976, 2269, 203, 58, 3070, 710, 13195, 15267, 385, 591, 806, 1367, 291, 7752, 650, 458, 2483, 1376, 359, 3561, 291, 556, 47 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 393, 7108, 526, 4957, 1056, 18, 731, 3838, 660, 1535, 5452, 650, 458, 1427, 10224, 286, 225, 88, 76, 73, 2067, 292, 724, 962, 7964, 3561, 18, 731, 2406, 811, 1357, 8995, 332, 1720, 35489, 4594, 10179, 16, 603, 80, 719, 40043, 1684, 4594, 10179, 16, 290, 2127, 11420, 7329, 40043, 477, 15267, 18, 203, 203, 42, 7108, 40960, 1718, 94, 16136, 203, 58, 3070, 710, 13195, 15267, 526, 724, 1357, 7385, 5994, 1882, 291, 4589, 383, 393, 7108, 827, 458, 4810, 527, 5192, 797, 290, 225, 69, 2333, 6806, 18, 731, 1825, 225, 88, 76, 73, 4589, 1180, 6731, 26535, 1944, 3556, 3525, 346, 225, 88, 76, 73, 2595, 18, 7219, 602, 458, 3119, 225, 88, 76, 73, 962, 286, 225, 88, 76, 73, 34711, 292, 225, 88, 76, 73, 4109, 1180, 6688, 528, 4879, 38, 4236, 290, 568, 1825, 225, 88, 76, 73, 23383, 4236, 18, 731, 1736, 225, 88, 76, 73, 2067, 325, 2116, 2494, 3486, 18, 203, 203, 44, 353, 1586, 1170, 290, 453, 460, 32533, 291, 2286, 203, 2091, 452, 2209, 3486, 556, 47, 17911, 1586, 1170, 3459, 603, 3070, 710, 13195, 15267, 291, 286, 6500, 1680, 4949, 13563, 11191, 7025, 10179, 18, 603, 3070, 710, 13195, 15267, 3846, 524, 225, 88, 76, 73, 3868, 1180, 6643, 1569, 383, 225, 88, 76, 73, 2595, 981, 3427, 325, 18, 557, 225, 88, 76, 73, 2779, 292, 3486, 16, 458, 385, 9899, 431, 17258, 962, 8625, 453, 460, 32533, 16, 517, 1736, 291, 2485, 18, 203, 203, 42724, 1069, 203, 829, 1846, 2636, 3486, 16, 603, 3070, 710, 13195, 15267, 6672, 325, 3245, 346, 556, 47, 12605, 1069, 16, 2701, 1477, 819, 225, 88, 76, 73, 962, 526, 3529, 1357, 3561, 995, 270, 2790, 890, 17614, 291, 2775, 2485, 1737, 225, 69, 2979, 383, 556, 47, 14887, 89, 10179, 11272, 11311, 7166, 3271, 291, 225, 88, 76, 73, 26535, 1944, 3556, 18, 17026, 261, 26083, 22700, 628, 301, 12589, 8958, 3914, 326, 554, 1305, 981, 603, 3070, 710, 13195, 15267, 1837, 658, 346, 522, 12605, 1069, 4796, 2158, 1128, 291, 28894, 1576, 383, 556, 47, 2525, 1065, 69, 2303, 38609, 8682, 18, 203, 203, 58, 3070, 710, 13195, 15267, 3119, 225, 88, 76, 73, 5839, 48367, 962, 286, 225, 88, 76, 73, 1148, 88, 76, 1128, 26535, 1944, 3556, 3647, 346, 279, 1814, 1180, 2173, 3758, 1419, 1180, 23611, 1569, 1514, 18, 4837, 603, 3070, 710, 13195, 15267, 526, 5464, 16, 556, 47, 12605, 1069, 644, 225, 69, 1260, 1180, 2288, 1514, 18, 1507, 1519, 2355, 3384, 16, 1737, 225, 69, 27350, 17, 8714, 30839, 5717, 2979, 1576, 383, 8699, 301, 9636, 6775, 411, 16415, 16, 603, 3070, 710, 13195, 15267, 3884, 522, 23404, 18, 601, 385, 449, 6241, 16, 290, 458, 3838, 325, 359, 1357, 3561, 18, 557, 2775, 1589, 3384, 16, 1154, 225, 88, 76, 73, 48952, 7231, 5717, 16120, 1909, 16, 458, 4862, 225, 69, 832, 17, 2996, 4013, 7898, 346, 225, 88, 76, 73, 2595, 18, 556, 47, 12605, 1069, 4810, 527, 6627, 225, 88, 76, 73, 2243, 1909, 10913, 28932, 47, 26083, 8530, 2518, 1669, 1180, 22, 18, 203, 203, 58, 3070, 710, 13195, 15267, 1698, 225, 88, 76, 73, 3384, 1180, 1537, 1569, 359, 1357, 3561, 517, 385, 11843, 291, 1846, 2698, 3384, 1737, 225, 69, 377, 1180, 29, 894, 291, 225, 88, 76, 73, 26535, 1944, 3556, 16, 1315, 225, 69, 2723, 17, 6262, 2979, 286, 556, 47, 1343, 47355, 18, 203, 203, 6179, 4759, 40740, 7054, 203, 829, 2987, 16, 603, 3070, 710, 13195, 15267, 2154, 1357, 3561, 292, 556, 47, 24071, 40740, 7054, 423, 28894, 16, 291, 225, 88, 76, 73, 16893, 3556, 292, 19819, 18, 557, 522, 724, 1569, 346, 225, 88, 76, 73, 2595, 16, 24071, 40740, 7054, 3846, 225, 88, 76, 73, 1569, 526, 4720, 3232, 291, 832, 88, 76, 3527, 346, 1583, 17, 2288, 1514, 4722, 15132, 326, 225, 88, 76, 73, 2243, 3232, 396, 14379, 26434, 13, 292, 225, 88, 76, 73, 4174, 18, 1666, 602, 16, 24071, 40740, 7054, 3846, 291, 1172, 1128, 346, 685, 17, 2288, 1514, 18, 203, 203, 8663, 1065, 69, 2303, 38609, 8682, 203, 2091, 832, 2485, 2862, 458, 2154, 1357, 3561, 292, 225, 88, 76, 73, 23383, 962, 2525, 1065, 69, 2303, 38609, 8682, 16, 11534, 3077, 11843, 4481, 19202, 13077, 22858, 15267, 18, 957, 9672, 286, 2525, 1065, 69, 2303, 38609, 8682, 326, 603, 3070, 710, 13195, 15267, 4544, 1792, 31089, 346, 2160, 1571, 78, 11420, 69, 35746, 24948, 5334, 458, 2406, 326, 658, 225, 69, 7134, 291, 1952, 22371, 383, 393, 7108, 40960, 1718, 94, 16136, 18, 203, 203, 2091, 1583, 2355, 16, 1477, 819, 225, 69, 2979, 286, 24071, 40740, 7054, 16, 603, 3070, 710, 13195, 15267, 526, 17645, 385, 3823, 1027, 1466, 11879, 5261, 263, 6435, 10179, 596, 22483, 26535, 1944, 3556, 19081, 556, 47, 14887, 89, 10179, 11272, 1427, 3249, 359, 7276, 346, 2595, 4115, 35746, 24948, 22547, 689, 768, 4625, 33071, 292, 1139, 6, 359, 225, 88, 76, 73, 2157, 326, 225, 88, 76, 73, 1626, 18, 203, 203, 49, 62, 56, 5413, 404, 13077, 203, 2091, 2357, 2262, 2855, 458, 2154, 1357, 3561, 292, 225, 88, 76, 73, 46352, 6882, 8924, 351, 62, 56, 5413, 404, 13077, 18, 557, 2698, 2855, 458, 17614, 290, 385, 6096, 346, 1343, 36264, 6111, 13195, 18, 203, 203, 9937, 962, 7385, 203, 203, 13321, 16832, 4957, 3201, 203, 829, 3868, 16, 16893, 11228, 292, 19819, 396, 47, 5228, 13, 3249, 603, 3070, 710, 13195, 15267, 396, 267, 225, 88, 76, 73, 595, 7385, 393, 7108, 40960, 1718, 94, 16136, 383, 2595, 1398, 13, 1357, 3561, 292, 225, 88, 76, 73, 23383, 811, 17, 825, 2763, 962, 326, 225, 88, 76, 73, 6612, 3690, 811, 17, 825, 6263, 291, 27251, 290, 5963, 18, 203, 203, 10608, 6627, 519, 4140, 1305, 10913, 795, 17, 7069, 87, 27251, 16, 603, 3070, 710, 13195, 15267, 526, 962, 2678, 1427, 325, 2414, 16, 4499, 479, 519, 1823, 1535, 225, 88, 76, 73, 991, 16, 1315, 225, 88, 76, 73, 2243, 10913, 7139, 290, 16634, 225, 88, 76, 73, 3525, 18, 203, 203, 17672, 806, 1708, 291, 3008, 16, 603, 3070, 710, 13195, 15267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 16, 915, 7385, 24071, 40740, 7054, 383, 2595, 1398, 16, 385, 2745, 286, 3561, 225, 88, 76, 73, 23383, 811, 17, 1758, 962, 383, 225, 88, 76, 73, 2068, 18469, 291, 9732, 18, 203, 203, 13321, 16832, 1444, 9161, 7964, 3561, 203, 829, 2775, 2779, 2862, 16, 4208, 292, 225, 88, 76, 73, 2068, 38, 10680, 2855, 15132, 6537, 16, 603, 3070, 710, 13195, 15267, 3989, 225, 88, 76, 73, 2763, 962, 526, 7385, 8342, 359, 554, 292, 225, 88, 76, 73, 1220, 23144, 286, 19819, 2763, 962, 526, 1357, 3561, 10245, 11420, 261, 22693, 18240, 15267, 18, 19819, 4642, 286, 11521, 5200, 6627, 848, 6537, 1315, 286, 225, 88, 76, 73, 1072, 614, 87, 16, 26514, 18, 203, 203, 3591, 568, 1563, 5174, 292, 5261, 19202, 78, 556, 6343, 10179, 4236, 17, 10466, 1357, 8995, 203, 203, 1987, 203, 203, 3257, 2477, 203, 15666, 325, 14748, 70, 10680, 18, 1633, 203, 203, 22711, 4686, 203, 6004, 717, 203, 37, 4934, 3556, 17, 10466, 8995, 203, 3886, 453, 460, 32533, 8995, 203, 30120, 12605, 1069, 5138, 8995, 203, 30120, 2525, 1065, 69, 2303, 38609, 8682, 1357, 8995, 203, 30120, 393, 7108, 396, 17802, 1180, 9786, 13, 8995, 203, 30120, 17911, 1586, 1170, 8995, 203, 30120, 24071, 37038, 8995, 203, 45680, 16078, 6882, 717, 291, 12952, 203, 45680, 16078, 6882, 717, 291, 27350, 290, 32151, 203, 45680, 16078, 6882, 717, 291, 21147, 203, 45680, 16078, 6882, 717, 291, 3671, 203, 45680, 16078, 6882, 717, 291, 2217, 31052, 203, 45680, 16078, 6882, 717, 291, 18859, 203, 45680, 1673, 526, 6882, 8995, 2, 0, 49973, 3703, 318, 225, 69, 554, 838, 3232, 748, 431, 12225, 49127, 18, 601, 385, 49127, 526, 5837, 3232, 748, 326, 5975, 290, 18454, 383, 225, 88, 76, 73, 30020, 22334, 7603, 16, 3023, 325, 1025, 2427, 4597, 18, 409, 2551, 385, 225, 88, 76, 73, 1172, 1864, 5960, 1133, 49127, 290, 3962, 13198, 415, 17873, 16, 596, 644, 4977, 5782, 225, 88, 76, 73, 4889, 292, 49127, 526, 609, 20486, 2016, 18, 203, 203, 1266, 318, 6951, 345, 225, 88, 76, 73, 748, 291, 641, 13147, 423, 49127, 526, 43083, 4824, 748, 2485, 1399, 1239, 225, 88, 76, 73, 15665, 573, 385, 7707, 325, 9817, 7741, 832, 325, 1958, 2494, 8694, 18, 409, 1806, 664, 16289, 3703, 2912, 225, 69, 2974, 292, 225, 69, 19025, 29244, 596, 339, 21745, 522, 3198, 526, 12727, 290, 568, 5346, 225, 69, 2449, 1740, 16289, 18, 203, 203, 20078, 203, 203, 521, 1806, 5066, 524, 291, 1229, 2378, 290, 318, 917, 291, 225, 69, 38264, 5299, 291, 389, 8942, 3032, 18, 203, 203, 1926, 225, 69, 3259, 1740, 31866, 318, 3427, 291, 1737, 225, 88, 76, 73, 2371, 292, 16289, 16, 633, 3198, 596, 385, 5588, 291, 225, 69, 4755, 46808, 3727, 573, 9144, 291, 633, 15590, 345, 458, 385, 225, 69, 29244, 291, 225, 88, 76, 73, 22412, 292, 522, 6958, 18, 203, 203, 829, 225, 88, 76, 73, 748, 408, 821, 633, 7587, 346, 9219, 93, 16, 225, 69, 3435, 596, 6000, 286, 427, 652, 225, 88, 76, 73, 724, 286, 942, 16289, 526, 35313, 290, 596, 4042, 286, 688, 359, 940, 359, 458, 424, 581, 16289, 423, 31866, 18, 203, 203, 19818, 13964, 18295, 203, 203, 2091, 6741, 203, 829, 4589, 44513, 430, 12018, 290, 23045, 2659, 364, 275, 1065, 77, 82, 18394, 291, 225, 88, 76, 73, 748, 383, 225, 88, 76, 73, 46674, 6404, 1321, 6756, 1104, 6083, 291, 5438, 16, 573, 385, 568, 16217, 290, 2740, 359, 225, 69, 4239, 3648, 18, 601, 318, 1349, 325, 3442, 384, 10406, 18, 203, 203, 521, 748, 504, 652, 4809, 286, 225, 88, 76, 73, 2730, 1782, 16, 18129, 669, 16, 13483, 3571, 19087, 12498, 16, 28670, 2590, 77, 2590, 77, 290, 7300, 1254, 1828, 290, 3055, 290, 5782, 431, 8199, 556, 3192, 275, 18, 409, 1806, 2608, 286, 225, 88, 76, 73, 748, 318, 581, 225, 69, 563, 596, 8315, 225, 88, 76, 73, 2974, 292, 522, 19535, 10577, 12727, 286, 1934, 290, 3534, 290, 1545, 519, 2979, 18, 203, 203, 1987, 203, 203, 9758, 2576, 203, 203, 3257, 2477, 203, 16544, 423, 2987, 346, 12225, 49127, 326, 4903, 3685, 3023, 581, 16289, 3703, 290, 4755, 46808, 6991, 291, 3023, 1563, 203, 9578, 5066, 203, 3482, 597, 431, 12225, 49127, 203, 3134, 17, 572, 5066, 203, 8749, 17, 5920, 366, 203, 34237, 17, 6769, 5066, 203, 3482, 597, 917, 291, 3023, 2, 0, 521, 6049, 22, 72, 13350, 3348, 396, 4425, 22, 40895, 13, 318, 225, 88, 76, 73, 8122, 7622, 292, 225, 88, 76, 73, 6049, 22, 72, 3062, 32206, 16301, 16, 8356, 286, 225, 88, 76, 73, 1851, 2198, 3062, 7044, 12414, 18, 409, 1275, 318, 25716, 383, 2209, 3062, 12414, 8996, 16, 3470, 18, 203, 203, 5733, 2107, 2446, 3299, 16, 709, 21746, 4411, 16, 225, 88, 76, 73, 6049, 22, 72, 18546, 38097, 3348, 396, 34757, 13, 385, 279, 47068, 3062, 7044, 361, 17, 2419, 20400, 40644, 4411, 291, 3994, 16, 25716, 383, 23769, 1466, 404, 3032, 3866, 18, 377, 334, 17691, 11196, 478, 18, 33391, 290, 384, 348, 17691, 5169, 430, 18, 44135, 1323, 16, 8402, 643, 1119, 6081, 225, 88, 76, 73, 13423, 292, 13089, 326, 519, 30098, 5148, 18, 203, 203, 521, 1552, 927, 6049, 22, 72, 2016, 286, 2734, 225, 69, 1403, 2168, 346, 225, 88, 76, 73, 6049, 22, 72, 18546, 3348, 9292, 3693, 286, 1209, 709, 9253, 8207, 18, 203, 203, 21959, 203, 521, 6049, 22, 40895, 3929, 318, 286, 11217, 16, 3637, 290, 2501, 1593, 71, 32604, 286, 1369, 1593, 1478, 31918, 290, 7019, 1593, 18796, 654, 595, 16, 654, 1128, 18, 409, 3348, 526, 6889, 6691, 811, 7303, 13925, 6375, 9674, 423, 1240, 9090, 291, 5269, 286, 1648, 9090, 658, 941, 18792, 18, 203, 203, 521, 3348, 568, 504, 225, 69, 3009, 24744, 573, 16403, 820, 6231, 5508, 346, 9229, 26932, 29429, 1593, 71, 32604, 596, 1369, 3009, 1028, 326, 7258, 290, 9311, 3533, 17568, 431, 1593, 18, 203, 203, 3627, 907, 203, 521, 1275, 2626, 225, 69, 331, 17, 2419, 14249, 70, 353, 1557, 8571, 8122, 24744, 290, 225, 69, 28386, 17, 32545, 54, 24028, 329, 1012, 262, 8122 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 24744, 359, 761, 359, 279, 9229, 26932, 29429, 24744, 30, 4327, 685, 5805, 88, 76, 3062, 8493, 31918, 17329, 396, 39474, 17, 32545, 54, 13, 203, 1148, 4457, 88, 76, 332, 1888, 1807, 17329, 396, 39, 17, 2419, 13, 203, 6049, 22, 72, 14551, 26932, 4096, 301, 2189, 17329, 203, 6049, 22, 72, 13350, 6764, 17329, 203, 6049, 22, 72, 1429, 669, 1505, 19682, 17329, 203, 1260, 1996, 7688, 55, 17, 3683, 14414, 8122, 28386, 17, 32545, 54, 203, 203, 6355, 203, 1078, 3305, 2084, 290, 30770, 16, 821, 6049, 22, 72, 3062, 32206, 16301, 203, 203, 10571, 2446, 3299, 203, 203, 521, 6049, 22, 18546, 38097, 3348, 396, 34757, 13, 385, 3178, 325, 2116, 1589, 14063, 290, 16565, 325, 377, 2262, 14063, 383, 2408, 4423, 7591, 16, 4365, 18, 409, 4411, 385, 9583, 286, 24462, 2086, 332, 7845, 16, 2027, 14322, 325, 1583, 2262, 14063, 290, 6025, 660, 1535, 1846, 2485, 14063, 18, 601, 644, 652, 19608, 532, 359, 6049, 22, 18546, 38097, 3348, 16, 17611, 325, 452, 2429, 14063, 18, 409, 4411, 385, 3230, 286, 28307, 13858, 7591, 9002, 325, 1814, 2485, 14063, 290, 286, 6785, 69, 6785, 69, 332, 8239, 72, 4365, 325, 832, 2636, 14063, 18, 203, 203, 33227, 4411, 1736, 326, 4250, 7801, 729, 1063, 2229, 325, 3275, 2698, 14063, 290, 22987, 325, 225, 88, 76, 73, 7296, 9141, 325, 384, 2494, 12896, 16, 290, 5459, 291, 32350, 325, 1188, 2494, 12896, 18, 409, 1593, 25265, 38225, 2483, 11595, 3968, 291, 1846, 2698, 14063, 2726, 225, 88, 76, 73, 7445, 18183, 5557, 18, 3531, 292, 225, 88, 76, 73, 6889, 4872, 3994, 225, 69, 1162, 1477, 981, 225, 88, 76, 73, 2625, 5014, 5459, 18, 409, 6049, 22, 72, 385, 8356, 286, 225, 88, 76, 73, 6049, 88, 76, 26278, 18546, 38097, 16301, 16, 290, 225, 88, 76, 73, 1275, 5598, 3414, 385, 225, 69, 689, 47533, 17, 48, 2656, 203, 203, 88, 76, 73, 6049, 22, 72, 6291, 8817, 325, 848, 2827, 346, 279, 3727, 1584, 6889, 10336, 4406, 383, 22594, 18, 15972, 8817, 16, 7220, 7021, 291, 9756, 38097, 292, 7019, 10268, 16, 1315, 29933, 12462, 8132, 383, 24399, 16, 6889, 10336, 4406, 383, 2534, 675, 5074, 16, 6889, 7622, 2016, 383, 38877, 303, 16, 225, 88, 76, 73, 3144, 17, 30511, 1950, 383, 45607, 11299, 3809, 16, 225, 69, 15337, 10959, 3068, 383, 34941, 16, 290, 2508, 14735, 383, 2127, 76, 7127, 18, 203, 203, 829, 1408, 286, 7019, 13415, 16, 225, 88, 76, 73, 6049, 22, 72, 5350, 2625, 5508, 290, 5642, 524, 684, 72, 295, 862, 4471, 18, 6792, 1732, 5173, 326, 225, 88, 76, 73, 14778, 292, 36707, 431, 11029, 1593, 23928, 16, 603, 17, 804, 368, 263, 3345, 16, 14795, 16, 290, 609, 9336, 291, 4409, 18, 409, 1275, 10432, 12779, 29709, 325, 389, 17, 10049, 16, 1025, 2262, 12896, 18, 25980, 2121, 9531, 6269, 291, 1118, 292, 225, 88, 76, 73, 18803, 383, 7529, 17, 48, 15676, 291, 2382, 290, 225, 88, 76, 73, 11898, 1584, 361, 3495, 291, 2429, 290, 2427, 12896, 18, 9365, 291, 2427, 16, 13331, 225, 88, 76, 73, 32814, 3727, 325, 225, 88, 76, 73, 9711, 18, 14341, 9531, 8310, 291, 290, 1689, 225, 88, 76, 73, 8817, 7702, 1154, 225, 88, 76, 73, 8976, 292, 225, 88, 76, 73, 7386, 497, 16, 2698, 12896, 696, 2494, 11577, 18, 25980, 2121, 279, 39615, 291, 1118, 292, 225, 88, 76, 73, 32814, 11318, 1808, 225, 88, 76, 73, 31407, 291, 2209, 11577, 18, 203, 203, 521, 1275, 2524, 225, 69, 25795, 12159, 31927, 326, 2797, 325, 1148, 2355, 11577, 650, 16, 5200, 33046, 16451, 7509, 290, 4281, 1086, 480, 16, 357, 13630, 46113, 225, 69, 14212, 17, 74, 5838, 3039, 383, 11192, 831, 46791, 14337, 18, 409, 6049, 22, 72, 18546, 3348, 14637, 709, 1172, 8817, 3929, 292, 2107, 2446, 3299, 1858, 77, 82, 2214, 65, 325, 2967, 2355, 16, 12075, 29933, 12462, 8132, 383, 11877, 335, 29650, 18, 203, 203, 521, 1275, 14637, 225, 69, 2914, 292, 10397, 13415, 423, 1466, 404, 3032, 3866, 1154, 225, 88, 76, 73, 2391, 16, 6627, 15513, 292, 709, 38305, 291, 225, 88, 76, 73, 1619, 292, 803, 4471, 18, 14765, 16, 225, 88, 76, 73, 1275, 8792, 3839, 4281, 10316, 1154, 225, 88, 76, 73, 4618, 292, 12896, 16, 383, 345, 595, 31665, 554, 292, 225, 88, 76, 73, 4021, 4713, 292, 2979, 292, 654, 40644, 7482, 4411, 291, 225, 88, 76, 73, 47068, 3062, 7044, 18, 203, 203, 9103, 455, 1445, 282, 286, 225, 88, 76, 73, 1727, 2262, 19, 7552, 11577, 18, 409, 1593, 25265, 38225, 22435, 225, 88, 76, 73, 1851, 6248, 2775, 2262, 11577, 18, 15657, 25265, 38225, 22987, 325, 225, 88, 76, 73, 7296, 9141, 423, 3866, 1070, 325, 848, 2429, 11577, 16, 290, 5459, 291, 1063, 2229, 325, 1814, 2429, 11577, 18, 409, 4411, 3178, 383, 33684, 11856, 332, 8239, 72, 16, 2027, 14322, 827, 225, 88, 76, 73, 3348, 385, 291, 33204, 325, 3436, 2429, 11577, 18, 203, 203, 30704, 2446, 203, 203, 9103, 38477, 532, 6049, 22, 18546, 38097, 3348, 16, 9654, 17611, 325, 1814, 2209, 14186, 18, 3408, 16884, 291, 225, 88, 76, 73, 12414, 325, 591, 2355, 14186, 18, 3537, 38477, 532, 6049, 22, 18546, 38097, 3348, 16, 5682, 325, 3498, 2262, 14933, 18, 1129, 1798, 359, 225, 69, 9756, 38097, 1275, 811, 15348, 292, 225, 88, 76, 73, 3275, 6036, 88, 76, 3062, 7044, 12414, 6953, 2916, 18, 6759, 282, 286, 3577, 8414, 3044, 1136, 2429, 8587, 326, 8414, 291, 225, 88, 76, 73, 9126, 2446, 811, 225, 88, 76, 73, 848, 88, 76, 3062, 7044, 18, 351, 7637, 286, 2961, 16, 2485, 1180, 8209, 8587, 16, 290, 6291, 8817, 346, 361, 17, 4299, 12712, 10164, 1598, 38305, 1584, 26773, 5508, 2775, 291, 9588, 16, 5237, 724, 423, 15146, 291, 2961, 290, 1708, 423, 2027, 8185, 18, 9992, 91, 12166, 38017, 16, 5883, 33055, 16, 290, 684, 72, 2830, 13415, 16, 290, 2758, 1118, 326, 2625, 9893, 18, 25980, 2121, 290, 730, 501, 282, 4700, 16, 26724, 16, 5036, 3882, 16, 15500, 8626, 16, 14795, 16, 5542, 16, 3760, 11968, 87, 16, 290, 1593, 23928, 1535, 1589, 14541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 650, 709, 3929, 385, 2498, 658, 431, 225, 88, 76, 73, 2497, 5377, 42, 1946, 88, 76, 18546, 38097, 3348, 396, 14737, 859, 409, 1275, 2524, 797, 25795, 12159, 331, 12006, 396, 10467, 4861, 12159, 331, 12006, 13, 561, 709, 5148, 1154, 225, 88, 76, 73, 9126, 2446, 18, 203, 203, 32510, 799, 286, 225, 88, 76, 73, 1851, 2198, 290, 4265, 785, 291, 10058, 4709, 18, 409, 4411, 385, 867, 261, 799, 290, 6025, 359, 225, 69, 22059, 38017, 1275, 16, 396, 4425, 22, 38124, 2511, 30486, 3348, 13, 14541, 1180, 27573, 31, 359, 225, 69, 22059, 9756, 38097, 1275, 396, 4425, 22, 18546, 38097, 3348, 16, 38124, 873, 14417, 1180, 27175, 31, 290, 359, 225, 69, 34745, 12403, 1275, 16, 396, 4425, 22, 42983, 33488, 3348, 16, 20321, 13, 14106, 1180, 26798, 18, 203, 203, 19647, 7099, 203, 2091, 377, 2429, 7884, 16, 225, 88, 76, 73, 6049, 22, 72, 13350, 3348, 396, 4425, 22, 40895, 13, 385, 16565, 359, 225, 69, 1873, 292, 225, 88, 76, 73, 6049, 22, 72, 8493, 31918, 16301, 11587, 225, 88, 76, 73, 5377, 42, 8624, 10210, 3084, 18, 13100, 19737, 16, 225, 88, 76, 73, 6049, 22, 40895, 385, 39214, 225, 88, 76, 73, 30770, 290, 2084, 292, 225, 88, 76, 73, 6049, 22, 3062, 8493, 31918, 3348, 290, 479, 21746, 4057, 18, 225, 88, 76, 73, 6049, 22, 40895, 385, 8356, 225, 88, 76, 73, 8122, 45414, 292, 225, 88, 76, 73, 6049, 22, 72, 8493, 31918, 16301, 18, 203, 203, 829, 8169, 16, 2209, 20643, 38, 385, 4792, 326, 1229, 19665, 18, 1099, 641, 292, 225, 88, 76, 73, 3062, 7044, 526, 1229, 19665, 225, 88, 76, 73, 6049, 22, 72, 7688, 59, 2154, 225, 88, 76, 73, 6049, 22, 72, 3062, 32206, 16301, 325, 377, 2355, 7752, 18, 1507, 377, 2355, 7196, 16, 2209, 8172, 2154, 2209, 3062, 12414, 8996, 18, 557, 4589, 16, 225, 88, 76, 73, 3348, 8187, 709, 331, 17, 45972, 10668, 18, 332, 602, 1708, 16, 225, 88, 76, 73, 10210, 2483, 286, 2834, 709, 3815, 331, 17, 2419, 87, 18, 203, 203, 20018, 505, 203, 34785, 359, 6049, 22, 18546, 38097, 3348, 396, 34757, 13, 325, 2116, 1589, 14063, 203, 3408, 16884, 325, 377, 2262, 14063, 203, 3537, 38477, 532, 6049, 22, 18546, 38097, 3348, 16, 17611, 325, 452, 2429, 14063, 203, 557, 33204, 325, 3436, 2429, 11577, 203, 3537, 38477, 532, 6049, 22, 18546, 38097, 3348, 16, 9654, 17611, 325, 1814, 2209, 14186, 203, 3408, 16884, 291, 225, 88, 76, 73, 12414, 325, 591, 2355, 14186, 203, 3537, 38477, 532, 6049, 22, 18546, 38097, 3348, 16, 5682, 325, 3498, 2262, 14933, 203, 6759, 282, 286, 16938, 24901, 325, 1136, 2429, 8587, 203, 557, 33204, 325, 1136, 1589, 14541, 203, 3537, 38477, 532, 6049, 22, 38124, 2511, 30486, 3348, 325, 1025, 2262, 14541, 203, 3408, 16884, 291, 225, 88, 76, 73, 12414, 325, 2272, 2262, 14541, 203, 3537, 38477, 532, 30, 6049, 22, 18546, 38097, 3348, 16, 38124, 325, 3143, 1589, 14417, 203, 3537, 38477, 532, 30, 6049, 22, 42983, 33488, 3348, 16, 20321, 325, 377, 2382, 14106, 203, 557, 33204, 325, 2116, 2355, 13811, 203, 3537, 38477, 532, 30, 6049, 22, 3062, 8493, 31918, 3348, 16, 17611, 325, 4600, 2382, 9644, 396, 7969, 1798, 31080, 13, 203, 3537, 38477, 532, 30, 6049, 22, 13350, 3348, 325, 377, 2429, 7884, 290, 16565, 291, 225, 88, 76, 73, 12414, 18, 203, 203, 7097, 45884, 4327, 3299, 25980, 529, 12237, 16, 377, 2262, 14063, 203, 6116, 3062, 7044, 16, 1025, 2485, 14063, 203, 47068, 3062, 7044, 16, 271, 18, 1188, 2494, 12896, 203, 29674, 25980, 529, 12237, 16, 2494, 12896, 203, 685, 72, 18546, 38097, 5669, 16, 2494, 12896, 203, 6049, 88, 76, 26278, 18546, 38097, 16301, 16, 2494, 12896, 203, 452, 88, 76, 18546, 38097, 16301, 16, 1124, 2262, 11577, 4327, 6116, 3062, 7044, 16, 271, 18, 1519, 1180, 1758, 2429, 11577, 203, 48407, 88, 76, 18546, 38097, 16301, 396, 23682, 16, 48407, 3062, 5669, 873, 591, 2355, 14186, 203, 6049, 22, 72, 18546, 38097, 16301, 16, 3498, 2262, 14933, 696, 1136, 1589, 14541, 203, 6049, 22, 72, 38124, 2511, 30486, 396, 23682, 16, 6049, 22, 18546, 38097, 31, 6049, 22, 42983, 33488, 13, 16301, 16, 2272, 2262, 14541, 696, 2116, 2355, 13811, 203, 6049, 22, 72, 3062, 8493, 31918, 396, 23682, 16, 6049, 22, 3062, 32206, 13, 16301, 16, 377, 2429, 7884, 1180, 15511, 203, 203, 2854, 40620, 203, 19449, 88, 76, 3062, 8493, 31918, 17329, 30, 377, 2429, 7884, 696, 377, 2355, 7601, 203, 685, 5805, 88, 76, 3062, 8493, 31918, 17329, 30, 377, 2429, 7884, 1180, 15511, 203, 5392, 23, 72, 18546, 38097, 17329, 30, 3436, 1589, 13499, 696, 3498, 2262, 14933, 203, 1148, 4309, 88, 76, 18546, 38097, 396, 23682, 332, 1888, 1807, 13, 17329, 396, 29, 62, 13, 3037, 377, 2262, 14063, 696, 3436, 2429, 11577, 31, 591, 2355, 14186, 696, 1136, 1589, 14541, 31, 2272, 2262, 14541, 696, 2116, 2355, 13811, 203, 1148, 4457, 88, 76, 18546, 38097, 396, 23682, 16, 1148, 4457, 38124, 2511, 30486, 31, 1148, 4457, 18546, 38097, 31, 1148, 4457, 42983, 33488, 31, 1148, 4457, 332, 1888, 1807, 13, 17329, 396, 49, 23, 4922, 377, 2262, 14063, 696, 3436, 2429, 11577, 31, 1519, 2382, 14186, 696, 1136, 1589, 14541, 31, 2272, 2262, 14541, 696, 2116, 2355, 13811, 31, 377, 1589, 7752, 1180, 15511, 203, 1148, 1878, 18546, 38097, 396, 23682, 16, 1148, 1878, 38124, 2511, 30486, 31, 1148, 1878, 18546, 38097, 31, 1148, 1878, 42983, 33488, 31, 1148, 1878, 332, 1888, 1807, 13, 17329, 396, 26, 47, 13, 3037, 377, 2262, 14063, 696, 3436, 2429, 11577, 31, 377, 2429, 14186, 696, 1136, 1589, 14541, 31, 2272, 2262, 14541, 696, 2116, 2355, 13811, 31, 377, 1589, 7752, 696, 377, 2355, 4589, 203, 1148, 6078, 334, 18546, 38097, 17329, 396, 27, 40, 4922, 377, 2262, 14063, 696, 3436, 2429, 11577, 31, 1519, 2382, 14186, 696, 2399, 2262, 15360, 396, 26049, 11436, 2636, 8587, 17, 3021, 2262, 15360, 859, 203, 1148, 5234, 72, 18546, 38097, 17329, 30, 1958, 2636, 14106, 696, 2116, 2355, 13811, 18, 203, 203, 1744, 587, 4327, 2408, 4423, 7591, 16, 4365, 16, 377, 2262, 14063, 203, 24462 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 2086, 5349, 3062, 8996, 16, 2027, 14322, 16, 271, 18, 2272, 2262, 14063, 203, 28307, 13858, 7591, 16, 9002, 16, 1136, 2485, 14063, 203, 6785, 69, 6785, 69, 5349, 3062, 8996, 16, 4365, 16, 271, 18, 832, 2636, 1180, 8324, 14063, 203, 23769, 1466, 404, 3032, 3866, 396, 17185, 8239, 8236, 44556, 873, 3994, 16, 271, 18, 1188, 2494, 12896, 696, 1025, 2429, 11577, 203, 33684, 11856, 5349, 3062, 7591, 16, 2027, 14322, 16, 271, 18, 1519, 1180, 4309, 2429, 11577, 4327, 5656, 5660, 332, 8239, 412, 396, 23682, 16, 5656, 5660, 10518, 77, 14856, 88, 873, 3470, 16, 591, 2355, 14186, 203, 4426, 20643, 38, 16, 3470, 16, 1136, 2429, 1180, 7751, 8587, 203, 601, 890, 5689, 3062, 8996, 16, 2961, 16, 3538, 2485, 8587, 203, 1680, 923, 3062, 8996, 16, 2961, 16, 271, 18, 1136, 2698, 8587, 203, 363, 308, 261, 3551, 396, 47, 17, 29, 13, 3062, 8996, 16, 2027, 8185, 16, 1946, 1589, 15360, 696, 1136, 1589, 14541, 203, 5656, 5660, 8956, 16, 3470, 16, 2272, 2262, 14541, 696, 2116, 2355, 13811, 203, 2209, 20643, 38, 396, 23682, 16, 7688, 38, 873, 3470, 16, 377, 2429, 7884, 1180, 15511, 203, 203, 46230, 8356, 4327, 361, 17, 2419, 20400, 40644, 16, 14063, 1180, 24516, 203, 331, 17, 4425, 23604, 2331, 16, 271, 18, 13499, 1180, 28633, 203, 331, 17, 6036, 7525, 29048, 16, 271, 18, 13499, 1180, 28633, 31, 14106, 1180, 26953, 203, 361, 19, 26097, 19, 32215, 17, 4299, 12712, 10164, 16, 13499, 1180, 27175, 203, 393, 19, 27714, 17, 7933, 31923, 16, 14923, 1180, 28298, 203, 393, 19, 27714, 17, 3819, 34198, 4790, 16, 14732, 1180, 27573, 203, 331, 17, 6427, 12237, 83, 16, 14106, 1180, 26953, 31, 14541, 1180, 28298, 4327, 331, 17, 39203, 20400, 8146, 7183, 16, 13853, 1180, 26798, 203, 331, 17, 4425, 23604, 2331, 16, 14923, 1180, 27573, 16, 14106, 1180, 26953, 203, 23069, 17, 3021, 14869, 16, 14732, 1180, 27573, 203, 28386, 17, 32545, 24028, 329, 1012, 262, 16, 7884, 1180, 15511, 203, 28386, 17, 1537, 10182, 2918, 16, 7884, 1180, 16324, 203, 331, 17, 45972, 4790, 26617, 350, 16, 7752, 1180, 11831, 203, 331, 17, 2419, 14249, 70, 353, 1557, 8571, 16, 4109, 1180, 15511, 203, 203, 1987, 4327, 38373, 16977, 16, 8969, 18, 1851, 2198, 3062, 7044, 12159, 3722, 587, 1364, 10708, 18, 378, 2437, 1473, 16, 3994, 30, 33716, 24590, 16, 4589, 18, 1913, 203, 203, 3257, 2477, 203, 6049, 22, 72, 13350, 3348, 22862, 38520, 203, 203, 47643, 3074, 292, 225, 88, 76, 73, 1851, 2198, 3062, 7044, 2, 0, 30089, 4488, 318, 225, 69, 7797, 292, 33147, 2307, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 50, 10597, 4488, 378, 1251, 225, 318, 225, 69, 7797, 292, 3551, 378, 1251, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 521, 3949, 292, 2398, 397, 3358, 396, 349, 4845, 4594, 532, 359, 2127, 37, 13, 318, 225, 69, 34319, 3481, 2009, 286, 225, 88, 76, 73, 4674, 4105, 292, 225, 88, 76, 73, 1361, 6175, 292, 225, 88, 76, 73, 12669, 389, 35743, 954, 25719, 10812, 2450, 17, 19515, 1305, 18, 225, 738, 1184, 16, 3179, 431, 316, 15613, 16, 3726, 18, 291, 8169, 16, 2840, 2723, 1046, 20420, 16, 1403, 7193, 2890, 1100, 1434, 225, 88, 76, 73, 1305, 383, 225, 88, 76, 73, 389, 27942, 5432, 526, 2724, 18, 409, 1184, 385, 2389, 7021, 431, 3906, 689, 62, 16752, 6, 8653, 16, 346, 629, 2917, 946, 431, 4117, 13936, 16, 38446, 361, 2156, 16, 7280, 290, 3396, 9549, 20947, 16, 5042, 10673, 816, 16, 20618, 689, 14540, 719, 6, 378, 18833, 16, 19678, 2553, 2854, 70, 16, 5442, 351, 18, 22046, 16, 290, 3906, 28791, 18, 12990, 953, 318, 431, 7559, 23022, 290, 6003, 953, 290, 17414, 643, 2389, 431, 8732, 1113, 39340, 18, 203, 203, 23579, 203, 521, 1184, 526, 1188, 17, 7910, 7840, 325, 4503, 685, 1180, 1537, 2418, 279, 10723, 292, 225, 88, 76, 73, 11500, 290, 225, 88, 76, 73, 12375, 292, 20420, 1434, 225, 88, 76, 73, 1305, 18, 2060, 2111, 318, 3413, 291, 279, 5430, 286, 2017, 527, 629, 39592, 4160, 20420, 16, 1315, 689, 6709, 397, 3358, 371, 1248, 4014, 326, 225, 69, 3224, 2670, 689, 3001, 20420, 427, 16957, 1097, 4251, 345, 1209, 624, 423, 961, 4189, 2670, 689, 6709, 397, 3358, 371, 715, 9618, 292, 7152, 9460, 2670, 689, 6709, 397, 3358, 371, 479, 2267, 431, 16921, 345, 8433, 985, 339, 2912, 291, 225, 88, 76, 73, 3224, 2670, 689, 6709, 397, 3358, 371, 1100, 770, 291, 225, 88, 76, 73, 14279, 27660, 3224, 2670, 689, 1371, 225, 88, 76, 73, 4190, 35750, 1808, 279, 39916, 16, 357, 882, 19020, 225, 88, 76, 73, 3224, 2670, 689, 37, 2449, 346, 279, 39916, 459, 19020, 225, 88, 76, 73, 6737, 2670, 290, 689, 6709, 397, 3358, 371, 2896, 517, 225, 69, 20505, 1556, 409, 1358, 1560, 4503, 292, 225, 88, 76, 73, 7840, 1369, 279, 11246, 292, 225, 88, 76, 73, 1184, 526, 11500, 431, 7904, 16, 17956, 670, 1767, 279, 39916, 1046, 423, 609, 7193, 2890, 396, 261, 39916, 318, 2190, 16, 504, 225, 69, 1403, 2084, 16, 290, 2418, 279, 42593, 326, 225, 69, 1806, 286, 339, 15696, 325, 357, 13, 290, 2626, 225, 69, 917, 292, 7451, 325, 708, 225, 69, 389, 27942, 5432, 424, 1582, 225, 69, 631, 39916, 326, 225, 88, 76, 73, 3224, 18, 203, 203, 521, 6097, 1220, 4503, 292, 225, 88, 76, 73, 7840, 3665, 286, 5942, 708, 225, 88, 76, 73, 1883, 20420, 4184, 1434, 225, 88, 76, 73, 1184, 6691, 18, 601, 8248, 225, 88, 76, 73, 2078, 4131, 292, 708, 479, 20420, 2575, 1434, 225, 69, 1305, 16, 290, 2840, 797, 2078, 2884, 292, 1403, 1097, 4251, 279, 39916, 1380, 3028, 30, 39916, 12860, 16, 827, 279, 39916, 526, 459, 424, 5396, 225, 69, 2449, 1249, 225, 88 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 76, 73, 5182, 16, 290, 39916, 9382, 16, 827, 225, 88, 76, 73, 39916, 8068, 26608, 225, 69, 2449, 9877, 290, 15544, 658, 595, 698, 1334, 2935, 6233, 18, 409, 5253, 326, 225, 88, 76, 73, 39916, 15917, 1100, 291, 225, 88, 76, 73, 1358, 3512, 318, 568, 6846, 18, 4313, 39916, 318, 2123, 225, 69, 5936, 291, 17, 11752, 2084, 12537, 292, 554, 388, 543, 29155, 16, 290, 1040, 554, 2418, 225, 69, 3512, 292, 4027, 325, 708, 225, 88, 76, 73, 389, 27942, 5432, 783, 787, 225, 88, 76, 73, 5182, 1434, 225, 69, 3224, 18, 4313, 39916, 504, 709, 745, 2645, 9460, 5936, 16, 1040, 292, 573, 9026, 698, 554, 292, 2176, 8069, 30, 6962, 396, 37878, 291, 1664, 873, 46210, 396, 33204, 21839, 431, 225, 88, 76, 73, 2449, 873, 7152, 396, 72, 25762, 431, 225, 88, 76, 73, 389, 27942, 5432, 388, 431, 7152, 3478, 873, 13017, 779, 396, 10445, 13160, 650, 797, 388, 543, 3927, 292, 225, 69, 15610, 917, 371, 3989, 873, 290, 26142, 396, 12380, 359, 39916, 12860, 16, 39916, 9382, 16, 388, 1334, 2935, 859, 26171, 16, 225, 88, 76, 73, 7840, 9616, 708, 1040, 39916, 504, 225, 69, 7262, 1817, 292, 12938, 16, 7049, 292, 573, 905, 339, 1709, 326, 225, 69, 2449, 286, 7325, 18, 203, 203, 6709, 397, 3358, 203, 42, 20189, 1682, 20420, 371, 4184, 325, 4503, 1814, 1180, 35209, 18, 3531, 15917, 949, 527, 554, 1444, 2111, 16, 517, 225, 69, 1162, 1937, 543, 720, 554, 2111, 16, 290, 479, 371, 16130, 18, 3791, 292, 803, 20420, 427, 13659, 1364, 225, 88, 76, 73, 1305, 526, 1846, 1477, 16, 290, 643, 5758, 1100, 291, 225, 88, 76, 73, 10687, 8801, 15136, 769, 354, 27811, 732, 30, 15908, 73, 292, 225, 88, 76, 73, 389, 7467, 90, 562, 24651, 16, 35609, 577, 9316, 526, 29834, 16, 21180, 1339, 292, 225, 88, 76, 73, 37753, 4315, 272, 16, 17094, 292, 225, 88, 76, 73, 430, 4036, 37610, 16, 7268, 290, 14142, 292, 603, 320, 1069, 16, 29093, 454, 526, 44948, 607, 5913, 16, 16674, 292, 10415, 16, 12712, 362, 49195, 37572, 292, 957, 348, 16, 11014, 2297, 2105, 292, 316, 9057, 1540, 225, 88, 76, 73, 11943, 43764, 16, 7526, 13871, 292, 557, 386, 355, 545, 14273, 16, 351, 565, 292, 331, 3311, 2867, 16, 12427, 292, 27895, 225, 88, 76, 73, 4682, 16, 34855, 2232, 438, 292, 1254, 3070, 17, 83, 16, 1515, 967, 292, 13213, 11619, 16, 7296, 430, 17213, 11518, 526, 15052, 484, 6763, 44648, 16, 2534, 10311, 292, 19918, 396, 6588, 10311, 292, 4366, 16, 2534, 10311, 292, 2160, 327, 35713, 16, 2534, 10311, 292, 23618, 873, 14699, 292, 421, 1018, 92, 16, 8205, 292, 14990, 21336, 16, 28191, 292, 19163, 16, 290, 16150, 582, 292, 225, 88, 76, 73, 25316, 18, 2591, 292, 225, 88, 76, 73, 20420, 291, 225, 88, 76, 73, 3949, 292, 2398, 397, 3358, 5758, 4938, 291, 225, 88, 76, 73, 724, 6175, 389, 27942, 5432, 526, 7626, 396, 23475, 346, 225, 88, 76, 73, 2960, 724, 1100, 291, 15136, 769, 354, 27811, 732, 13, 291, 10307, 16, 1315, 30, 4236, 290, 8453, 35784, 292, 995, 11, 29381, 7283, 16, 1460, 766, 72, 1064, 526, 23557, 16, 47870, 88, 76, 526, 2570, 370, 16, 2511, 4072, 292, 15541, 11, 39, 695, 16, 290, 36653, 292, 42867, 15540, 17, 50, 284, 18, 203, 203, 5997, 292, 225, 88, 76, 73, 20420, 291, 442, 1184, 18265, 1434, 609, 1646, 290, 6444, 5488, 16, 4794, 326, 1883, 3224, 6259, 16, 1315, 30, 2452, 1157, 292, 26926, 17, 49, 382, 396, 521, 378, 21529, 30, 9172, 5370, 14330, 26720, 873, 4437, 284, 12013, 396, 54, 3073, 687, 1211, 3299, 30, 3010, 325, 49836, 1813, 263, 5180, 873, 2398, 397, 6634, 565, 396, 3541, 468, 39750, 615, 3224, 917, 873, 15908, 73, 292, 225, 88, 76, 73, 3446, 46267, 396, 39660, 25135, 30, 29927, 54, 22, 8453, 29424, 774, 409, 1680, 2063, 26933, 873, 3260, 39750, 615, 526, 11600, 10276, 396, 3541, 468, 39750, 615, 30, 13213, 1970, 46031, 873, 3949, 346, 1911, 6575, 396, 40, 27942, 1970, 23, 873, 11089, 4739, 396, 47, 2895, 17, 13827, 873, 25424, 292, 42409, 270, 396, 521, 378, 21529, 30, 9172, 5370, 14330, 26720, 873, 11014, 6649, 292, 42409, 270, 396, 521, 378, 21529, 30, 9172, 5370, 14330, 26720, 873, 290, 3710, 317, 292, 4764, 4470, 274, 396, 39660, 25135, 30, 24249, 292, 225, 88, 76, 73, 28506, 859, 2591, 292, 225, 88, 76, 73, 6097, 20420, 959, 519, 724, 5132, 291, 225, 88, 76, 73, 3949, 292, 2398, 397, 3358, 16, 1315, 30, 1558, 17, 30757, 14142, 292, 31325, 2789, 7661, 69, 396, 2282, 17, 53, 317, 355, 873, 25296, 292, 478, 12618, 225, 88, 76, 73, 361, 758, 1923, 396, 2282, 17, 53, 317, 355, 873, 22585, 292, 35171, 39952, 16, 37807, 20012, 292, 363, 5967, 16, 2962, 7047, 292, 11553, 26811, 380, 396, 1905, 33676, 5710, 903, 873, 12686, 22108, 1524, 292, 528, 13928, 396, 25206, 4857, 873, 8988, 964, 2113, 292, 32013, 317, 396, 25206, 4857, 873, 8205, 292, 36653, 396, 25206, 4857, 873, 319, 2904, 350, 292, 225, 88, 76, 73, 17556, 1313, 262, 17, 37965, 396, 1905, 33676, 5710, 903, 873, 26014, 292, 478, 38887, 358, 17, 13448, 274, 396, 2282, 17, 53, 317, 355, 873, 290, 5086, 11555, 292, 21030, 579, 396, 25206, 4857, 859, 203, 203, 19099, 46366, 22253, 203, 1200, 3512, 16, 423, 4503, 28792, 17, 39183, 16, 9616, 225, 88, 76, 73, 4049, 345, 225, 69, 2449, 3667, 286, 1582, 10169, 7193, 2890, 396, 2063, 20420, 13, 359, 4184, 291, 225, 88, 76, 73, 1361, 6175, 389, 27942, 5432, 526, 7626, 290, 316, 450, 292, 12339, 18, 738, 3512, 2840, 708, 864, 291, 1398, 225, 69, 2449, 1381, 339, 286, 1582, 225, 69, 1935, 5182, 16, 9616, 225, 88, 76, 73, 3572, 292, 225, 88, 76, 73, 548, 1389, 225, 69, 2449, 1381, 427, 286, 1582, 279, 5182, 396, 69, 28178, 526, 12303, 388, 225, 69, 13208, 526, 23244, 16, 359, 225, 88, 76, 73, 1715, 783, 339, 873, 225, 88, 76, 73, 9556, 292, 1482, 225, 69, 1935, 5182, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 290, 670, 3879, 292, 10770, 3156, 783, 339, 2318, 18, 601, 568, 9616, 345, 291, 1374, 286, 1582, 279, 12267, 7193, 5182, 16, 225, 88, 76, 73, 12858, 19680, 526, 969, 17, 6351, 318, 9583, 698, 225, 88, 76, 73, 5182, 16, 4721, 225, 88, 76, 73, 1544, 350, 526, 1657, 225, 69, 48271, 4048, 79, 18, 203, 203, 54, 2615, 284, 2386, 46366, 22253, 203, 1200, 3512, 16, 423, 4503, 16443, 17, 46966, 16, 9616, 708, 225, 69, 12858, 19680, 2449, 424, 23040, 279, 5182, 573, 3667, 7176, 16, 955, 359, 268, 1352, 16, 25351, 16, 369, 2687, 16, 290, 629, 12027, 18, 601, 9616, 708, 442, 1149, 318, 3500, 290, 670, 318, 2505, 16, 1119, 326, 28178, 2890, 290, 13208, 2890, 18, 203, 203, 10188, 445, 810, 203, 521, 1184, 6352, 346, 225, 69, 917, 292, 1220, 29765, 810, 18, 4437, 44282, 332, 16, 325, 2111, 41857, 318, 225, 69, 1241, 292, 2078, 46155, 10770, 2890, 16, 14475, 286, 225, 88, 76, 73, 1184, 526, 3529, 3512, 18, 4437, 44282, 361, 16, 325, 4503, 39990, 17, 2173, 28, 16, 318, 225, 69, 917, 292, 7152, 1420, 6558, 345, 629, 20420, 783, 5396, 18, 4437, 44282, 331, 16, 325, 2111, 49459, 16, 318, 2454, 225, 69, 8346, 7690, 326, 225, 88, 76, 73, 389, 27942, 5432, 286, 4461, 524, 286, 4581, 225, 69, 1241, 292, 3943, 16, 290, 519, 3912, 16, 326, 225, 88, 76, 73, 29093, 454, 526, 44948, 607, 5913, 39916, 18, 203, 203, 20427, 203, 10904, 30, 4367, 10914, 1970, 7272, 396, 16810, 13, 203, 7023, 334, 349, 1970, 2173, 203, 203, 1987, 203, 203, 40, 35743, 954, 25719, 3481, 9557, 203, 41516, 17, 19515, 1305, 11815, 4974, 291, 8169, 2, 0, 44, 5102, 430, 23, 385, 225, 88, 76, 73, 2630, 430, 17, 6553, 25120, 286, 339, 8568, 16, 2387, 383, 43469, 431, 27131, 366, 291, 18620, 17, 34766, 18, 20941, 346, 23853, 274, 4432, 290, 20119, 449, 4977, 31005, 16, 803, 643, 225, 88, 76, 73, 910, 36101, 291, 225, 88, 76, 73, 5138, 8220, 383, 225, 88, 76, 73, 894, 292, 225, 88, 76, 73, 3440, 2107, 2446, 18, 1236, 385, 29079, 291, 225, 88, 76, 73, 724, 1801, 3141, 3727, 325, 554, 25120, 431, 1378, 16, 650, 780, 385, 34974, 282, 325, 1124, 2485, 16382, 431, 1913, 203, 203, 11189, 203, 521, 1846, 3194, 430, 17, 6553, 36101, 16, 423, 430, 21, 286, 430, 28, 16, 644, 225, 69, 28600, 292, 225, 383, 225, 88, 76, 73, 4017, 290, 225, 1027, 33646, 18, 1108, 644, 225, 69, 4980, 3758, 292, 225, 290, 225, 69, 16541, 292, 2836, 290, 643, 11492, 431, 797, 225, 27131, 366, 3815, 17, 33900, 797, 17, 26355, 16203, 8707, 290, 797, 225, 4180, 18171, 18, 409, 1284, 644, 225, 69, 5530, 4017, 3554, 292, 225, 290, 225, 69, 33646, 3554, 292, 2836, 346, 225, 69, 5708, 4767, 292, 225, 292, 16203, 4039, 277, 225, 69, 2080, 292, 225, 650, 11917, 383, 2836, 1027, 33646, 544, 644, 225, 69, 2080, 292, 225, 383, 1913, 203, 203, 521, 1846, 1866, 14459, 377, 11, 430, 1284, 10837, 643, 12166, 346, 1560, 1124, 10234, 396, 25681, 10921, 13, 34974, 17697, 16, 554, 291, 225, 88, 76, 73, 4587, 16, 554, 2459, 1752, 714, 1757, 3207, 16, 290, 554, 291, 225, 88, 76, 73, 27246, 31, 225, 69, 2914, 292, 3815, 28926, 2931, 643, 5642, 18, 3348, 377, 10837, 643, 449, 12020, 346, 225, 69, 7711, 4960, 1154, 3344, 16, 517, 1059, 2912, 291, 225, 88, 76, 73, 389, 454, 261, 24770, 3224, 644, 11131, 12348, 2540, 292, 225, 88, 76, 73, 379, 636, 10157, 1027, 383, 22164, 20287, 6589, 18, 203, 203, 41, 17, 11726, 36101, 644, 11223, 2557, 346, 225, 1420, 14558, 31, 291, 629, 36101, 16, 803, 643, 1708, 16033, 286, 225, 2557, 431, 10384, 225, 69, 36292, 807, 34974, 11127, 18, 4631, 5530, 946, 7523, 385, 225, 3851, 291, 1310, 629, 4872, 21706, 292, 2130, 1913, 2591, 36101, 10076, 393, 376, 49378, 26373, 1258, 2557, 18, 203, 203, 39, 1972, 203, 8714, 9853, 385, 1220, 7106, 290, 3436, 1673, 18, 203, 203, 16787, 2084, 203, 1989, 2391, 385, 9911, 346, 4681, 325, 848, 2429, 16382, 16, 430, 23, 385, 1653, 383, 2927, 7545, 16, 291, 225, 88, 76, 73, 1188, 88, 76, 5081, 19148, 2297, 329, 5064, 292, 225, 88, 76, 73, 4023, 9992, 1138, 18, 203, 203, 37337, 203, 41, 23, 22987, 423, 2927, 7545, 325, 1958, 2485, 286, 17992, 706, 361, 924, 410, 291, 225, 88, 76, 73, 2217, 7304, 18, 1507, 1124, 2485, 16, 780, 15531, 629, 3911, 45424, 4208, 517, 385, 6708, 286, 623, 698, 225, 69, 2067, 286, 949, 225, 69, 4126, 383, 624, 18, 834, 545, 286, 1290, 624, 16, 16365, 46744, 81, 1473, 40087, 698, 225, 88, 76, 73, 11782, 286, 3764, 326, 624, 286, 47428, 18, 1099, 458, 979, 541, 16, 458, 6449, 286, 821, 345, 225, 88, 76, 73, 11782, 385, 568, 12038, 431, 2836, 811, 16034, 285, 6713, 82, 296, 327, 48957, 3841, 348, 707, 10084, 18, 203, 203, 988, 10084, 385, 34924, 290, 1396, 21299, 1133, 225, 88, 76, 73, 430, 903, 290, 361, 924, 410, 650, 383, 1814, 30, 3021, 16, 279, 3670, 33855, 225, 69, 32184, 385, 15531, 827, 786, 32184, 905, 339, 18, 29894, 14745, 225, 69, 3194, 25120, 16, 528, 17, 4219, 3856, 294, 1581, 290, 4595, 225, 88, 76, 73, 3670, 18, 4536, 1866, 1373, 799, 968, 9098, 225, 88, 76, 73, 1319, 19546, 385, 5424, 7721, 325, 225, 88, 76, 73, 379, 636, 10157, 292, 225, 88, 76, 73, 3194, 5499, 16, 915, 6884, 359, 955, 3785, 8095, 5926, 18, 707, 10084, 21964, 225, 88, 76, 73, 25120, 326, 797, 2021, 1535, 1316, 286, 2295, 1866, 406, 2900, 8904, 731, 6246, 345, 225, 88, 76, 73, 764, 17, 5129, 643, 19495, 1264, 1440, 291, 225, 88, 76, 73, 609, 4519, 16, 2986, 225, 88, 76, 73, 430, 903, 18, 1605, 225, 88, 76, 73, 5061, 644, 4595, 286, 2836, 225, 69, 2013, 34974, 385, 11843, 431, 528, 17, 4219, 18, 5715, 263, 342, 3938, 9805, 819, 16, 290, 430, 23, 30741, 3856, 18, 31984, 816, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 643, 7721, 291, 225, 88, 76, 73, 1257, 517, 43689, 225, 69, 1361, 3194, 25120, 1380, 427, 652, 39327, 6665, 16, 528, 17, 4219, 294, 1581, 290, 25555, 18, 1872, 2239, 1708, 16, 225, 88, 76, 73, 528, 17, 16970, 4415, 286, 225, 88, 76, 73, 4573, 286, 2247, 326, 4840, 290, 1634, 17111, 517, 1342, 1476, 18, 1558, 4600, 1592, 292, 430, 23, 87, 5643, 643, 2970, 18, 203, 203, 521, 48199, 203, 203, 829, 5969, 16, 225, 88, 76, 73, 27246, 3512, 385, 3139, 5842, 431, 225, 69, 6626, 5499, 16, 573, 291, 2410, 40083, 11997, 423, 1343, 2385, 350, 18, 409, 18351, 292, 430, 23, 385, 5476, 325, 2116, 2485, 7752, 18, 409, 27246, 292, 430, 23, 644, 652, 17389, 706, 291, 225, 88, 76, 73, 17626, 290, 385, 1100, 286, 339, 3190, 27851, 18, 409, 27246, 3512, 1641, 225, 1315, 225, 88, 76, 73, 27246, 34974, 12961, 1608, 385, 1708, 4895, 18, 409, 27246, 23182, 385, 1227, 16, 517, 225, 88, 76, 73, 3263, 292, 225, 88, 76, 73, 17626, 11130, 345, 1673, 291, 225, 88, 76, 73, 2396, 1628, 290, 4951, 37389, 703, 427, 3904, 9901, 18, 409, 4951, 290, 2396, 5139, 371, 3399, 8436, 290, 427, 20879, 652, 26032, 282, 292, 479, 24716, 25770, 16, 1315, 225, 88, 76, 73, 12977, 18, 203, 203, 521, 379, 636, 10157, 504, 652, 5674, 431, 6626, 30325, 290, 225, 88, 76, 73, 6073, 619, 2753, 1534, 4728, 371, 1146, 12435, 18, 409, 379, 636, 10157, 18729, 318, 928, 286, 427, 652, 11558, 286, 225, 88, 76, 73, 5081, 19148, 4680, 517, 318, 449, 8172, 4842, 1434, 519, 9618, 18, 430, 23, 87, 34974, 13849, 23182, 318, 1227, 290, 225, 88, 76, 73, 4587, 3512, 318, 8052, 18405, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 37, 3648, 581, 225, 88, 76, 73, 10206, 292, 225, 88, 76, 73, 430, 23, 346, 2764, 37443, 203, 11, 8997, 19148, 10316, 21386, 286, 1552, 927, 11, 774, 5138, 8220, 5081, 19148, 4680, 203, 203, 12808, 430, 17, 6553, 36101, 292, 225, 88, 76, 73, 5138, 8220, 203, 38245, 2387, 291, 43469, 17, 77, 82, 17, 37325, 637, 203, 34766, 8521, 203, 10571, 2446, 314, 36101, 292, 225, 88, 76, 73, 1851, 6248, 203, 3672, 14562, 14214, 291, 2485, 16382, 203, 38245, 29079, 431, 3911, 36101, 291, 2107, 2446, 314, 203, 10571, 2446, 314, 2913, 91, 264, 6804, 291, 225, 88, 76, 73, 2217, 7304, 203, 29360, 36101, 292, 225, 88, 76, 73, 1851, 6248, 203, 21094, 8220, 2913, 4590, 2, 0, 10371, 4488, 318, 225, 69, 7797, 292, 2699, 378, 1251, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 47, 6977, 783, 3188, 286, 30, 203, 1294, 7024, 3463, 326, 225, 69, 41239, 2770, 203, 203, 6923, 4588, 203, 556, 88, 19, 58, 16, 225, 69, 4369, 292, 11063, 353, 391, 463, 3438, 203, 11137, 1159, 556, 88, 19, 58, 16, 225, 225, 69, 4369, 292, 11063, 353, 391, 463, 3438, 16, 1046, 423, 556, 88, 19, 58, 203, 203, 19162, 203, 203, 24788, 27977, 203, 8185, 3282, 16, 8185, 203, 556, 555, 382, 23248, 5947, 9653, 16, 2961, 203, 7457, 14739, 16, 26632, 16, 225, 3261, 203, 22110, 466, 1298, 16, 225, 69, 31867, 3282, 3505, 203, 556, 6977, 8423, 2562, 30850, 944, 10033, 203, 28069, 5517, 3282, 16, 9662, 203, 28912, 3282, 203, 203, 10791, 17045, 203, 556, 6977, 396, 20226, 873, 16885, 17, 11345, 203, 10390, 954, 45902, 3282, 16, 225, 4941, 16, 5377, 203, 556, 17, 56, 18, 58, 18, 388, 10390, 3282, 16, 2027, 4523, 203, 203, 45633, 203, 29516, 2908, 14739, 16, 36748, 1452, 4174, 203, 203, 13242, 26873, 203, 34244, 274, 17828, 11, 4970, 16, 225, 69, 2677, 18097, 4194, 7970, 203, 203, 3591, 568, 24405, 556, 396, 20404, 13, 203, 47210, 396, 20404, 13, 203, 29516, 2908, 396, 20404, 13, 2, 0, 521, 3551, 5062, 15137, 318, 225, 88, 76, 73, 5671, 8450, 292, 3551, 6422, 1495, 291, 34786, 16, 2217, 6422, 16, 1851, 2198, 16, 290, 318, 6233, 2863, 17, 10338, 18, 409, 3551, 5062, 15137, 6833, 785, 286, 18255, 18, 409, 13884, 57, 9033, 5739, 4119, 689, 18232, 1906, 22450, 290, 4519, 286, 225, 88, 76, 73, 2863, 8450, 6, 409, 8450, 504, 225, 69, 14104, 292, 1260, 16, 1318, 9626, 619, 2809, 291, 225, 88, 76, 73, 6598, 290, 8503, 44845, 290, 848, 16, 1318, 9626, 619, 2809, 291, 225, 88, 76, 73, 5652, 18, 225, 409, 8450, 1822, 524, 325, 35113, 290, 34801, 291, 225, 88, 76, 73, 6598, 290, 8503, 290, 325, 34581, 291, 225, 88, 76, 73, 5652, 18, 203, 203, 47643, 203, 521, 3551, 5062, 15137, 28731, 554, 2148, 619, 1302, 291, 225, 88, 76, 73, 8503, 290, 6598, 44845, 290, 4774, 10395, 1154, 225, 88, 76, 73, 5652, 18, 225, 409, 8450, 318, 7619, 431, 38953, 12565, 2217, 6422, 16, 10808, 291, 34786, 16, 11147, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 521, 3551, 5062, 15137, 3131, 1622, 203, 203, 32454, 9011, 291, 2217, 6422, 203, 26923, 3178, 291, 18255, 203, 17480, 6422, 1495, 203, 13130, 3445, 16, 2217, 6422, 203, 19948, 13910, 3179, 291, 2217, 6422, 203, 29252, 13910, 3179, 291, 2217, 6422, 2, 0, 6, 16499, 1030, 6, 318, 225, 69, 13811, 1963, 346, 1452, 290, 10410, 431, 20940, 20717, 290, 17873, 9115, 18, 601, 385, 2740, 359, 225, 69, 2013, 431, 9115, 16, 290, 2154, 554, 292, 17873, 9115, 526, 745, 2220, 27727, 8395, 18, 225, 409, 2013, 4872, 1319, 384, 326, 1220, 2754, 325, 225, 88, 76, 73, 16816, 4662, 2313, 16, 4325, 423, 225, 88, 76, 73, 1319, 377, 3527, 431, 689, 521, 8976, 292, 1063, 12717, 6, 431, 14582, 40333, 18, 225, 409, 1963, 385, 568, 225, 69, 1319, 377, 528, 18, 55, 18, 395, 10, 38, 2843, 16, 7810, 225, 88, 76, 73, 1174, 3527, 326, 1560, 2754, 18, 225, 16816, 10451, 357, 359, 225, 88, 76, 73, 1319, 685, 1963, 326, 13811, 16, 346, 225, 88, 76, 73, 1319, 377, 6134 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1191, 286, 689, 521, 8976, 292, 1063, 12717, 2656, 409, 1963, 4872, 1319, 1260, 291, 225, 88, 76, 73, 3261, 23310, 17896, 18, 203, 203, 25791, 6963, 203, 37, 2693, 431, 10993, 1063, 1473, 4872, 1319, 1025, 291, 225, 88, 76, 73, 1851, 6248, 291, 2262, 13811, 18, 203, 1624, 689, 10220, 285, 15225, 2995, 4604, 431, 23443, 2192, 12325, 73, 16, 357, 385, 225, 69, 1864, 5224, 2843, 291, 7423, 18, 203, 829, 11488, 16, 12007, 40670, 1427, 286, 1319, 19376, 346, 225, 69, 1766, 44850, 292, 442, 1963, 290, 689, 2300, 438, 6790, 46162, 2656, 203, 829, 10945, 16, 22646, 14067, 16, 1083, 6693, 292, 409, 23196, 366, 16, 2740, 225, 69, 38825, 2693, 291, 225, 88, 76, 73, 3261, 325, 46463, 6920, 11, 19074, 5694, 15307, 18, 203, 37284, 6472, 10071, 2740, 225, 69, 1868, 290, 7984, 2693, 325, 522, 10307, 2353, 16, 14774, 6472, 10071, 18, 203, 203, 25346, 291, 2220, 3354, 203, 37, 2693, 292, 225, 88, 76, 73, 1963, 318, 3606, 291, 225, 69, 2987, 3282, 3513, 326, 10145, 13705, 18, 1633, 18, 225, 88, 76, 73, 10145, 526, 1344, 17982, 290, 568, 5272, 325, 225, 88, 76, 73, 16119, 292, 3008, 1782, 409, 8961, 18, 203, 203, 1987, 203, 203, 26798, 8396, 203, 21131, 3055, 431, 17873, 9115, 203, 48, 11833, 9115, 3943, 203, 29580, 1063, 1473, 3943, 203, 37284, 6472, 10071, 3943, 203, 44127, 40670, 3943, 203, 39, 683, 2192, 12325, 73, 3943, 203, 26798, 3943, 203, 35040, 6920, 8396, 2, 0, 3111, 2509, 4488, 9798, 225, 318, 225, 69, 7797, 292, 225, 88, 76, 73, 10236, 292, 9798, 21622, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 521, 7233, 562, 2511, 308, 1251, 3408, 1958, 6257, 396, 23, 7526, 18, 21, 16, 271, 18, 832, 13, 385, 279, 838, 292, 225, 88, 76, 73, 8572, 292, 3994, 573, 2678, 3938, 225, 88, 76, 73, 10517, 48678, 38187, 292, 225, 88, 76, 73, 1150, 602, 16, 279, 5430, 431, 2764, 5250, 26225, 286, 865, 16535, 18480, 2938, 3988, 314, 290, 798, 292, 225, 88, 76, 73, 8572, 18, 203, 203, 521, 3408, 17536, 719, 5250, 26225, 423, 38891, 225, 88, 76, 73, 27740, 292, 1690, 290, 6853, 290, 423, 7398, 359, 225, 69, 24346, 388, 31131, 31, 290, 357, 3842, 2264, 7179, 775, 286, 2247, 519, 5631, 326, 6728, 18, 409, 3408, 568, 2758, 225, 69, 631, 34065, 292, 41904, 16, 573, 13010, 225, 88, 76, 73, 1420, 292, 225, 88, 76, 73, 14946, 286, 1164, 618, 49581, 18, 409, 661, 308, 438, 385, 286, 339, 35115, 4576, 3456, 388, 286, 43776, 797, 17, 29003, 292, 522, 2171, 691, 458, 979, 449, 2834, 225, 88, 76, 73, 39553, 300, 292, 225, 88, 76, 73, 5528, 526, 47363, 383, 2070, 1912, 225, 69, 602, 291, 522, 3536, 292, 3994, 9389, 3042, 18, 203, 203, 521, 3408, 568, 959, 357, 864, 47349, 286, 27970, 225, 88, 76, 73, 7704, 292, 9269, 2655, 720, 225, 88, 76, 73, 2938, 18, 203, 203, 3591, 568, 203, 52, 1428, 353, 367, 559, 203, 8197, 47349, 291, 225, 88, 76, 73, 1851, 6248, 203, 203, 1987, 203, 203, 6657, 375, 292, 225, 88, 76, 73, 8572, 292, 3994, 9129, 9214, 203, 2455, 6257, 291, 1690, 203, 2455, 6257, 291, 2764, 1690, 203, 27556, 17, 34983, 1486, 291, 3994, 203, 27556, 17, 34983, 1486, 291, 8184, 203, 2455, 6257, 291, 17342, 2, 0, 7187, 12310, 5274, 3409, 396, 4309, 2494, 27156, 2721, 2209, 14417, 13, 385, 279, 25627, 5925, 86, 9987, 19338, 423, 11577, 1535, 14923, 18, 203, 203, 2177, 385, 3157, 325, 3436, 2494, 27156, 290, 11007, 383, 21093, 3409, 290, 1495, 3049, 16, 9656, 981, 38634, 325, 279, 45457, 2269, 346, 225, 69, 1097, 1941, 383, 640, 3059, 12919, 16, 23730, 16, 28872, 18, 731, 385, 959, 486, 8932, 291, 10129, 17007, 396, 1758, 2698, 873, 431, 2212, 36394, 16, 11614, 5925, 86, 9987, 292, 16865, 1978, 16, 383, 6729, 82, 3032, 15014, 3536, 290, 27670, 13208, 325, 640, 3059, 18190, 11, 2976, 18620, 396, 2866, 2698, 873, 431, 9317, 40254, 16, 11614, 292, 31225, 16, 383, 8600, 16473, 3536, 16, 16865, 1978, 18, 731, 385, 225, 69, 43329, 9862, 20829, 286, 225, 88, 76, 73, 14984, 423, 18196, 286, 16667, 18, 731, 3220, 383, 2938, 4426, 6984, 291, 3023, 16, 326, 225, 69, 1700, 2223, 346, 225, 88, 76, 73, 28039, 5669, 291, 18196, 16, 857, 785, 286, 3023, 981, 279, 1188, 17, 10309, 17415, 286, 603, 5349, 291, 4409, 290, 1025, 2039, 346, 225, 88, 76, 73, 23769, 18, 1979, 1310, 359, 225, 69, 2107, 2446, 314, 42567, 458, 385, 857, 4640, 284, 292, 640, 3059, 7187, 526, 16, 30927, 4085, 16, 17269, 2476, 290, 819, 345, 640, 3059, 16178, 352, 87, 16, 19100, 2971, 49349, 18, 2952, 13525, 286, 11577, 458, 385, 17379, 11312, 292, 378, 48801, 290, 3579, 11614, 292, 364, 311, 1978, 396, 387, 568, 4468, 3150, 8932, 292, 19239, 423, 14164, 13, 423, 11577, 286, 14923, 18, 731, 385, 41172, 225, 69, 19338, 325, 640, 3059, 12919, 526, 2976, 11577, 396, 3021, 2382, 873, 431, 35463, 14839, 16, 24488, 292, 26632, 16, 383, 23076, 19432, 18, 731, 3904, 325, 2272, 2209, 14417, 819, 225, 69, 1700, 8592, 18, 203, 203, 1987, 203, 203, 49030, 4686, 203, 5013, 11007, 383, 21093, 3409, 1925, 203, 23454, 292, 1495, 3049, 16, 9656, 203, 17243, 526, 9852, 5138, 14700, 7106, 203, 12847, 3150, 33333, 292, 19239, 203, 38, 18468, 292, 364, 311, 1978, 203, 825, 88, 76, 17, 4577, 3536, 292, 3994, 26712, 203, 27573, 5850, 203, 10571, 2446, 314, 8842, 80, 1438, 203, 21094, 5349, 9862, 80, 1438, 11, 3625, 7106, 203, 12808, 5349, 7765, 292, 2107, 2446, 314, 2, 0, 23976, 8919, 11467, 396, 3640, 6506, 1473, 11467, 31, 2382, 3498, 16, 23142, 696, 1589, 384, 16, 7248, 13, 385, 279, 4958, 17, 4387, 4967, 3993, 4467, 290, 225, 69, 2532, 34375, 596, 385, 1907, 346, 955, 4967, 3993, 2828, 359, 19461, 5625, 3545, 16, 13237, 45152, 16, 19873, 694, 45152 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 16, 22978, 15195, 16, 290, 20622, 7472, 18, 1236, 385, 225, 69, 4429, 291, 225, 88, 76, 73, 1644, 8087, 9712, 14664, 290, 225, 69, 7754, 292, 225, 88, 76, 73, 4321, 292, 1063, 1340, 22034, 18, 1900, 18, 4782, 12920, 1450, 480, 598, 385, 633, 7964, 326, 452, 806, 18, 1450, 480, 598, 385, 1708, 1748, 33835, 282, 291, 16670, 359, 225, 69, 40393, 396, 23976, 8919, 859, 203, 203, 15731, 225, 203, 4290, 385, 3157, 6506, 1473, 11467, 291, 1063, 35084, 567, 16, 12494, 16, 286, 31256, 290, 640, 18, 23045, 11467, 325, 2382, 3498, 16, 23142, 18, 5794, 633, 3029, 3904, 981, 780, 3500, 225, 88, 76, 73, 5837, 6445, 16, 633, 2974, 31256, 6875, 12815, 291, 21386, 650, 6506, 1473, 385, 2701, 18, 225, 2325, 14096, 16, 37384, 6949, 16, 644, 652, 41124, 383, 2420, 16, 225, 88, 76, 73, 4159, 292, 279, 4958, 3259, 596, 385, 36501, 431, 633, 32722, 2509, 16, 596, 385, 225, 69, 4956, 18, 6506, 1473, 11467, 526, 14233, 385, 304, 3905, 5589, 16, 4721, 633, 14096, 346, 2176, 1528, 346, 11467, 526, 2974, 359, 225, 88, 76, 73, 14423, 18, 11467, 2154, 225, 69, 44904, 262, 383, 225, 88, 76, 73, 2184, 292, 1583, 18, 203, 203, 11503, 399, 1708, 644, 279, 8367, 3198, 16, 5442, 453, 18, 17814, 18, 203, 203, 2856, 10450, 225, 69, 6579, 431, 19461, 5625, 3545, 16, 11467, 3230, 286, 32966, 16, 1063, 2229, 16, 290, 1708, 2154, 225, 69, 4467, 290, 969, 2260, 292, 225, 88, 76, 73, 6826, 5859, 16, 5141, 291, 16382, 431, 19461, 5625, 3545, 18, 1236, 8979, 291, 5625, 3545, 526, 724, 2818, 13729, 291, 1063, 2229, 2086, 290, 385, 225, 69, 4146, 4372, 291, 225, 88, 76, 73, 3260, 4790, 7479, 18, 11003, 346, 4242, 225, 69, 3173, 4429, 291, 225, 88, 76, 73, 8087, 9712, 14664, 16, 11467, 2406, 326, 225, 69, 2692, 292, 5950, 326, 658, 4099, 806, 18, 2325, 1172, 1502, 5132, 385, 383, 225, 88, 76, 73, 19450, 1524, 2209, 6300, 20622, 7472, 1154, 2485, 7601, 18, 203, 203, 11503, 399, 385, 225, 88, 76, 73, 7754, 290, 4115, 292, 225, 88, 76, 73, 15271, 3693, 292, 32302, 5134, 359, 761, 359, 225, 88, 76, 73, 7754, 292, 225, 88, 76, 73, 5143, 326, 2000, 17280, 326, 2725, 10243, 1251, 292, 528, 18, 55, 18, 4198, 2687, 18, 1236, 385, 225, 69, 11303, 2260, 292, 225, 88, 76, 73, 4321, 292, 1063, 1340, 22034, 286, 3373, 326, 2271, 17, 72, 36734, 16, 2171, 16, 290, 1026, 17280, 18, 203, 203, 829, 11777, 16, 11467, 5141, 225, 88, 76, 73, 430, 687, 814, 11467, 3049, 292, 4958, 7625, 16, 16288, 18, 4900, 293, 2790, 15646, 291, 15195, 3445, 16, 1063, 2229, 18, 409, 3559, 385, 9489, 431, 2883, 291, 225, 88, 76, 73, 2775, 6799, 87, 18, 203, 203, 1905, 745, 292, 225, 88, 76, 73, 8587, 87, 290, 7423, 87, 16, 11467, 385, 225, 88, 76, 73, 910, 17, 4873, 12252, 292, 4958, 17, 4387, 1026, 17280, 18, 24289, 524, 292, 32966, 290, 633, 3084, 16, 225, 88, 76, 73, 15271, 3693, 292, 32302, 5134, 16, 11467, 9058, 10224, 1026, 17280, 423, 8587, 1535, 633, 2371, 18, 203, 203, 6910, 4895, 6402, 16, 11467, 617, 1387, 31640, 1154, 225, 88, 76, 73, 6116, 3327, 83, 17, 41, 15976, 666, 2446, 16, 1154, 573, 11467, 3110, 14946, 47592, 43170, 1837, 23795, 5148, 291, 5602, 225, 88, 76, 73, 5224, 7733, 18, 1236, 1708, 2154, 19338, 292, 225, 88, 76, 73, 45839, 17796, 3536, 292, 29811, 69, 18, 1236, 385, 568, 225, 69, 11303, 2260, 292, 225, 88, 76, 73, 5357, 286, 3006, 36419, 17919, 1486, 16, 3721, 292, 29948, 292, 14053, 1063, 2229, 18, 557, 13163, 442, 6045, 16, 780, 22652, 225, 69, 2357, 17, 9591, 1331, 17, 77, 82, 326, 1220, 2754, 18, 203, 203, 4290, 385, 568, 225, 69, 795, 17, 14806, 292, 225, 88, 76, 73, 4958, 1644, 14141, 5031, 16, 3726, 2562, 573, 3119, 225, 88, 76, 73, 3373, 1584, 8306, 292, 225, 88, 76, 73, 17972, 3463, 689, 4685, 32520, 2656, 203, 203, 829, 14106, 16, 11467, 4650, 225, 69, 15330, 286, 225, 88, 76, 73, 1851, 10001, 290, 225, 69, 1361, 291, 13811, 16, 22096, 326, 2271, 17, 72, 36734, 16, 1584, 32769, 16, 326, 2171, 290, 1026, 17280, 16, 1482, 633, 279, 2818, 12252, 18, 16544, 282, 431, 430, 18, 5525, 303, 1365, 15700, 273, 16, 11467, 6846, 225, 88, 76, 73, 15330, 16, 291, 573, 780, 2745, 326, 926, 5256, 6514, 286, 26850, 3788, 24411, 326, 8428, 806, 292, 21130, 18, 409, 15330, 568, 1740, 326, 7860, 587, 286, 339, 2123, 286, 4958, 7218, 596, 3229, 286, 2877, 286, 4523, 290, 1059, 596, 3229, 286, 4458, 291, 3146, 18, 7296, 8919, 11467, 385, 225, 88, 76, 73, 724, 1151, 262, 292, 225, 88, 76, 73, 1063, 4958, 6010, 203, 203, 18915, 225, 88, 76, 73, 724, 292, 798, 8275, 286, 4523, 291, 10547, 16, 780, 385, 2123, 225, 88, 76, 73, 6715, 876, 4351, 3525, 689, 23976, 8919, 6, 431, 1592, 292, 225, 88, 76, 73, 7212, 10098, 717, 291, 16670, 16, 279, 6338, 830, 573, 2154, 633, 16055, 1565, 291, 225, 88, 76, 73, 1851, 2198, 18, 203, 203, 829, 5969, 16, 1450, 480, 598, 1837, 633, 286, 1446, 13237, 45152, 819, 522, 3216, 423, 6442, 291, 2027, 4523, 16, 383, 225, 88, 76, 73, 8957, 292, 3296, 23828, 14766, 25071, 291, 37791, 6471, 16, 33273, 18, 557, 7196, 1450, 480, 598, 13331, 11467, 291, 1748, 33835, 277, 19873, 694, 45152, 291, 225, 88, 76, 73, 4933, 292, 225, 88, 76, 73, 29823, 284, 29823, 311, 4668, 3211, 383, 225, 88, 76, 73, 8558, 272, 8469, 13647, 396, 3532, 2229, 2086, 13, 848, 383, 18718, 88, 76, 3568, 16, 32966, 18, 203, 203, 521, 724, 4958, 1644, 11687, 292, 225, 88, 76, 73, 389, 10875, 396, 39226, 2090, 5143, 13, 290, 528, 18, 55, 18, 8312, 292, 13724, 8525, 5635, 396, 57, 18, 55, 18, 9696, 873, 528, 18, 55, 18, 37846, 6130, 395, 11071, 16, 13832, 11582, 3906, 389, 2437, 1448, 290, 528, 18, 55, 18, 23814, 35816, 20622, 7472 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 12956, 16, 5350, 16, 16374, 16, 13654, 290, 19204, 225, 88, 76, 73, 761, 17, 6957, 292, 11467, 359, 225, 69, 5138, 22257, 291, 225, 88, 76, 73, 32966, 1504, 18, 203, 203, 55, 9303, 31813, 16, 3857, 292, 225, 88, 76, 73, 27555, 7352, 292, 225, 69, 717, 385, 225, 69, 2203, 17, 21260, 38813, 431, 11467, 18, 203, 203, 23976, 8919, 11467, 3904, 291, 225, 69, 12140, 11079, 965, 423, 2401, 5950, 383, 225, 88, 76, 73, 2184, 292, 16668, 18, 203, 203, 1987, 203, 203, 9758, 2576, 203, 203, 3257, 2477, 1563, 689, 11, 23976, 8919, 352, 11467, 31, 2532, 34375, 4467, 2656, 203, 689, 23976, 8919, 6, 11467, 16, 3260, 5695, 15553, 18, 203, 1866, 23976, 8919, 11, 11467, 8140, 581, 4243, 19461, 5625, 3545, 290, 961, 291, 225, 88, 76, 73, 6826, 5859, 291, 442, 4824, 9518, 18, 203, 7296, 8919, 11467, 16, 3260, 2090, 1486, 16, 290, 225, 88, 76, 73, 1645, 5038, 17, 13676, 15709, 326, 2000, 17280, 346, 2411, 17879, 27599, 290, 225, 88, 76, 73, 1343, 8467, 4582, 5314, 18, 203, 203, 42823, 4686, 203, 15786, 5850, 203, 10080, 440, 1131, 326, 4958, 17, 4387, 4967, 3993, 203, 5013, 423, 1063, 35084, 567, 16, 12494, 203, 4387, 3260, 3237, 267, 472, 15373, 203, 11854, 4967, 3993, 15373, 203, 23260, 17, 4387, 15373, 203, 825, 88, 76, 17, 4577, 4958, 17, 4387, 1778, 203, 4387, 1778, 15373, 203, 10080, 440, 1131, 423, 12494, 203, 4387, 1026, 5811, 1131, 203, 23260, 17, 4387, 26225, 2, 0, 521, 14417, 1180, 27405, 7529, 5348, 25709, 1569, 385, 225, 88, 76, 73, 1136, 88, 76, 1569, 326, 225, 88, 76, 73, 10623, 18, 1979, 832, 1172, 17, 4294, 6806, 291, 18623, 16, 225, 88, 76, 73, 25709, 19604, 286, 640, 18, 5348, 18, 409, 1830, 644, 1912, 652, 965, 286, 225, 88, 76, 73, 640, 18, 5348, 25980, 1144, 16, 279, 1846, 361, 8654, 10623, 345, 20241, 291, 8587, 18, 409, 25709, 643, 325, 225, 88, 76, 73, 33386, 292, 4242, 554, 292, 225, 88, 76, 73, 1174, 3201, 291, 225, 88, 76, 73, 12192, 16, 3119, 431, 1361, 602, 2540, 6092, 4553, 2125, 16, 596, 703, 6319, 225, 88, 76, 73, 823, 724, 22731, 3325, 291, 12192, 2084, 18, 409, 25709, 703, 3647, 291, 2630, 1128, 346, 225, 69, 8987, 1180, 5858, 1514, 18, 203, 203, 829, 225, 88, 76, 73, 17767, 1584, 225, 88, 76, 73, 20755, 31156, 16, 225, 88, 76, 73, 25709, 643, 45119, 291, 6614, 377, 431, 225, 69, 2013, 1570, 18, 6614, 384, 385, 2533, 291, 20755, 16, 290, 225, 88, 76, 73, 25709, 643, 17389, 524, 431, 15292, 2697, 291, 6614, 384, 18, 409, 2630, 1305, 385, 22561, 291, 640, 18, 5348, 18, 4121, 1001, 16, 225, 88, 76, 73, 25709, 703, 1419, 431, 377, 1570, 286, 5461, 286, 225, 88, 76, 73, 5201, 23393, 18, 557, 225, 88, 76, 73, 1220, 1823, 16, 225, 88, 76, 73, 25709, 643, 524, 2714, 2126, 431, 14359, 2697, 18, 557, 225, 88, 76, 73, 5201, 23393, 16, 225, 88, 76, 73, 25709, 703, 1419, 225, 88, 76, 73, 724, 384, 1823, 1584, 225, 88, 76, 73, 5218, 13491, 47454, 743, 18, 1790, 16, 225, 88, 76, 73, 47454, 743, 703, 31027, 286, 949, 225, 88, 76, 73, 1358, 685, 1823, 290, 1419, 225, 88, 76, 73, 1909, 18, 203, 203, 20721, 1569, 203, 203, 18533, 23909, 203, 203, 25218, 5951, 18, 13674, 203, 203, 18615, 2529, 203, 203, 9977, 10852, 203, 203, 4173, 4220, 4259, 8923, 6, 7531, 26826, 39074, 1176, 6, 203, 96, 377, 203, 96, 2209, 1958, 203, 96, 20755, 203, 96, 411, 17890, 1180, 33568, 203, 96, 6092, 4553, 2125, 396, 2905, 13, 203, 96, 48553, 38078, 203, 96, 1669, 1180, 21, 203, 4173, 203, 203, 4173, 4220, 4259, 8923, 6, 7531, 26826, 49924, 6, 203, 96, 377, 203, 96, 2209, 1946, 203, 96, 20755, 203, 96, 374, 33360, 1180, 29964, 203, 96, 6092, 4553, 2125, 396, 3021, 13, 203, 96, 48553, 38078, 203, 96, 377, 1180, 20, 203, 4173, 4220, 4259, 8923, 6, 7531, 26826, 39074, 1176, 6, 203, 96, 384, 203, 96, 2209, 591, 203, 96, 4549, 20755, 203, 96, 411, 8451, 1180, 44490, 203, 96, 6092, 4553, 2125, 396, 2566, 13, 203, 96, 20755, 38078, 203, 96, 377, 1180, 21, 203, 4173, 4220, 4259, 8923, 6, 7531, 26826, 49924, 6, 203, 96, 685, 203, 96, 2209, 2967, 203, 96, 4549, 20755, 203, 96, 374, 33360, 1180, 29964, 203, 96, 6092, 4553, 2125, 396, 7272, 13, 203, 96, 20755, 38078, 203, 96, 384, 1180, 21, 203, 4173, 203, 203, 4173, 4220, 4259, 8923, 6, 7531, 26826, 49924, 6, 203, 96, 377, 203, 96, 2209, 3143, 203, 96, 4549, 5218, 13491, 203, 96, 374, 18990, 1180, 10721, 203, 96, 995, 24161, 396, 2419, 13, 203, 96, 2446, 9292, 44995, 203, 96, 377, 1180, 20, 203, 4173, 4220, 4259, 8923, 6, 7531, 26826, 49924, 6, 203, 96, 384, 203, 96, 2209, 2357, 203, 96, 5218, 13491, 203, 96, 374, 18693, 1180, 10559, 203, 96, 995, 24161, 396, 2866, 13, 203, 96, 48553, 38078, 203, 96, 384, 1180, 20, 203, 4173, 4220, 4259, 8923, 6, 7531, 26826, 39074, 1176, 6, 203, 96, 685, 203, 96, 2209, 2399, 203, 96, 4549, 5218, 13491, 203, 96, 411, 18693, 1180, 36830, 203, 96, 4621, 26238, 410, 396, 1758, 13, 203, 96, 2446, 9292, 44995, 203, 96, 384, 1180, 21, 203, 4173, 4220, 4259, 8923, 6, 7531, 26826, 39074, 1176, 6, 203, 96, 832, 203, 96, 2209, 3498, 203, 96, 5218, 13491, 203, 96, 411, 18693, 1180, 13141, 203, 96, 5541, 25494, 396, 916, 13, 203, 96, 48553, 38078, 203, 96, 384, 1180, 22, 203, 4173, 4220, 4259, 8923, 6, 7531, 26826, 39074, 1176, 6, 203, 96, 848, 203, 96, 2209, 3843, 203, 96, 4549, 5218, 13491, 203, 96, 411, 17890, 1180, 32338, 203, 96, 5541, 25494, 396, 825, 13, 203, 96, 2446, 9292, 44995, 203, 96, 384, 1180, 23, 203, 4173, 203, 203, 15603, 290, 15877, 203, 18143, 4553, 2125, 16, 12192, 3531, 46253, 12951, 4385, 203, 18143, 4553, 2125, 16, 1558, 17, 33839, 3440, 4585, 203, 203, 1987, 203, 203, 24995, 729, 325, 16893, 24713 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 203, 203, 42338, 25709, 6806, 203, 1744, 18, 5348, 203, 1744, 18, 5348, 25709, 203, 1744, 18, 5348, 25709, 2, 0, 46501, 13971, 318, 225, 69, 3600, 17, 282, 584, 396, 49727, 9626, 13, 1560, 17, 8814, 2353, 431, 38895, 48765, 16, 8772, 292, 631, 1863, 359, 761, 203, 287, 4706, 290, 867, 14125, 6374, 16, 290, 1220, 1702, 6963, 9623, 4193, 225, 88, 76, 73, 39171, 6, 431, 1710, 7260, 4107, 16, 689, 22744, 6, 431, 4426, 16394, 2995, 290, 689, 35058, 5964, 3514, 25235, 6, 431, 2882, 3260, 290, 2212, 15196, 859, 601, 526, 3285, 286, 339, 225, 69, 17317, 286, 225, 88, 76, 73, 3815, 17, 8814, 2353, 22582, 71, 5137, 16, 290, 359, 955, 225, 88, 76, 73, 25640, 371, 22506, 423, 1260, 286, 1519, 18, 203, 203, 20560, 2485, 4597, 290, 2485, 5755, 16, 38895, 48765, 2740, 696, 1324, 292, 3914, 696, 279, 3661, 292, 554, 2414, 619, 1285, 325, 519, 3131, 1622, 18, 1558, 292, 1059, 6374, 4810, 527, 325, 25548, 13971, 16, 1155, 629, 643, 867, 14125, 18, 409, 3298, 9982, 643, 30, 689, 4564, 410, 292, 225, 88, 76, 73, 5803, 2995, 689, 34846, 22353, 2995, 689, 34846, 28015, 2995, 689, 3591, 2339, 364, 12045, 2995, 689, 13136, 32234, 9714, 2995, 689, 2702, 359, 326, 5004, 2995, 689, 6811, 1677, 5785, 2995, 689, 10187, 39717, 6706, 94, 396, 16299, 20540, 13, 2995, 225, 203, 6, 1759, 13274, 1236, 26389, 396, 51, 615, 4395, 13, 2995, 689, 5548, 4886, 396, 77, 82, 225, 88, 76, 73, 602, 20610, 13, 2995, 689, 12, 49895, 326, 225, 88, 76, 73, 13, 1063, 5682, 2995, 689, 24232, 7047, 21637, 2995, 689, 62, 3447, 6, 290, 689, 2091, 225, 88, 76, 73, 5660, 2656, 203, 203, 37, 2013, 5578, 14266, 2693, 292, 225, 88, 76, 73, 917, 1740, 25548, 13971, 1461, 1313, 8117, 385, 568, 2740, 18, 203, 203, 13339, 8483, 203, 3001, 6374, 431, 10984, 262, 36245, 290, 24508, 4162, 6337, 827, 6246, 18, 203, 203, 8814, 1260, 696, 409, 14116, 963, 16889, 6420, 21632, 4327, 689, 14560, 292, 22582, 6, 396, 4403, 1441, 16, 17366, 44272, 16, 4162, 13, 696, 1025, 30, 6011, 1563, 689, 21761, 292, 393, 23150, 6, 696, 832, 30, 4665, 1563, 689, 62, 3447, 6, 396, 4403, 1441, 16, 2694, 14075, 569, 83, 16, 4162, 13, 696, 848, 30, 7836, 1563, 689, 3591, 2339, 364, 12045, 6, 696, 685, 30, 5777, 1563, 689, 6811, 1677, 5785, 6, 696, 848, 30, 6755, 1563, 689, 2702, 359, 326, 5004, 6, 696, 832, 30, 1537, 1563, 689, 22353, 2952, 46137, 301, 46577, 6, 396, 14950, 16, 6330, 411, 1896, 13, 696, 832, 30, 1537, 1563, 689, 6620, 732, 2097, 20374, 6, 696, 848, 30, 7298, 1563, 689, 34846, 22353, 6, 696, 848, 30, 6688, 1563, 689, 25083, 286, 21632, 2555, 384, 6, 696, 1148, 30, 5601, 1563, 689, 13136, 32234, 9714, 6, 396, 4403, 1012, 1047, 262, 16, 36245, 16, 4162, 16, 42788, 434, 36516, 13, 696, 848, 30, 2419, 1563, 689, 2091, 225, 88, 76, 73, 5660, 6, 696, 1136, 30, 4299, 203, 203, 8814, 1136, 696, 6766, 5652, 325, 5803, 203, 689, 33819, 8602, 6, 696, 685, 30, 5959, 1563, 689, 37257, 13389, 6, 696, 848, 30, 7264, 1563, 689, 4193, 225, 88, 76, 73, 39171, 6, 396, 43865, 26796, 13, 696, 848, 30, 2173, 1563, 689, 16252, 11856, 225, 88, 76, 73, 10984, 6, 396, 5902, 471, 14742, 16, 4162, 16, 411, 1896, 13, 696, 832, 30, 3732, 1563, 689, 43257, 6, 396, 14950, 16, 411, 1896, 13, 696, 848, 30, 7055, 1563, 689, 521, 3299, 6706, 94, 6, 396, 4403, 1441, 16, 4162, 16, 19789, 5114, 13, 696, 832, 30, 5592, 1563, 689, 24122, 31546, 6, 396, 4403, 1441, 16, 4162, 16, 411, 1896, 13, 696, 384, 30, 6257, 1563, 689, 49895, 832, 225, 88, 76, 73, 22592, 32135, 6, 696, 1025, 30, 6036, 1563, 689, 1759, 13274, 1236, 26389, 6, 696, 832, 30, 5234, 1563, 689, 46501, 13971, 6, 396, 14950, 16, 40005, 36184, 2467, 13, 696, 1260, 30, 6163, 1563, 689, 34846, 28015, 396, 6412, 828, 20503, 696, 832, 30, 7068, 1563, 689, 24232, 7047, 21637, 6, 696, 832, 30, 7068, 203, 203, 8814, 1814, 696, 39324, 18070, 22582, 4327, 689, 7977, 7308, 720, 22582, 6, 696, 685, 30, 5777, 1563, 689, 43, 9480, 6, 396, 54, 18423, 26414, 10489, 16, 4162, 16, 8927, 11475, 17873, 13, 696, 832, 30, 6257, 1563, 689, 45099, 828, 23288, 10189, 19, 45099, 746, 22118, 6, 396, 41, 10354, 10489, 16, 4162, 16, 17873, 13, 696, 832, 30, 6181, 1563, 689, 5270, 225, 69, 8840, 6, 396, 14950, 16, 411, 1896, 13, 696, 832, 30, 7122, 1563, 689, 1905, 225, 88, 76, 73, 319, 512, 292, 5004, 6, 696, 685, 30, 7933, 1563, 689, 34442, 4669, 225, 69, 41689, 396, 20670, 60, 92, 24556, 526, 4920, 526, 32140, 20503, 396, 14950, 16, 8927, 11475, 17873, 16, 5308, 351, 2049, 675, 13, 696, 832, 30, 825, 1563, 689, 22744, 6, 396, 16178, 16394, 13, 696, 685, 30, 7055, 1563, 689, 8848, 292, 528, 6, 696, 832, 30, 1878, 1563, 689, 24450, 3685, 396, 485, 275, 1759, 844, 3804, 32140, 20503, 396, 41, 10354, 10489, 16, 4162, 16, 17873, 13, 696, 832, 30, 3021, 1563, 689, 521, 3052, 1795, 4901, 6, 396, 14950, 16, 36184, 2467, 13, 696, 1025, 30, 7933, 1563, 689, 7148, 5652, 325, 5803, 6, 696, 832, 30, 5601, 1563, 689, 35058, 5964, 371, 832, 26252, 6, 396, 7187, 15196, 16, 2882, 3260, 13, 696, 685, 30, 2721, 203, 203, 8814, 1519, 696, 5067, 22759, 25848, 4327, 689, 25083, 286, 21632, 2555, 377, 6, 696, 685, 30, 6788, 1563, 689, 14560, 292, 22582, 6, 696, 832, 30, 3859, 1563, 689, 4564, 410, 292, 225, 88, 76, 73, 5803, 6, 696, 685, 30, 6181, 1563, 689, 6811, 1677, 5785, 6, 696, 848, 30, 7836, 1563, 689, 1759, 13274, 1236, 26389, 6, 696, 832, 30, 1878, 1563, 689, 5548, 4886, 291, 225, 88, 76, 73, 577, 23, 47, 6, 696, 685, 30, 6788, 1563, 689, 34846, 22353, 6, 696, 832, 30, 6011, 1563, 689, 49895, 832, 225, 88, 76, 73, 22592, 32135, 6, 696, 832, 30, 916 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1563, 689, 13136, 32234, 9714, 6, 396, 4403, 1012, 1047, 262, 16, 36245, 16, 4162, 16, 42788, 434, 36516, 13, 696, 832, 30, 7764, 1563, 689, 39, 2339, 364, 12045, 6, 696, 685, 30, 6011, 1563, 689, 34846, 28015, 6, 696, 832, 30, 916, 1563, 689, 24232, 7047, 21637, 6, 696, 2967, 30, 2905, 203, 203, 26157, 225, 203, 2282, 1813, 48765, 696, 24033, 203, 43, 4158, 36094, 696, 46443, 203, 54, 19381, 36245, 696, 27051, 3951, 8260, 16, 27232, 7308, 16, 6662, 9468, 16, 40659, 16, 50191, 203, 33924, 393, 2031, 2518, 696, 24033, 16, 32140, 277, 203, 3672, 666, 4162, 696, 27232, 7308, 16, 25757, 16, 24033, 16, 50191, 203, 40, 9207, 12722, 8166, 1540, 696, 12297, 16, 25922, 203, 22668, 411, 1896, 696, 27051, 3951, 8260, 16, 27232, 7308, 16, 6662, 9468, 16, 40659, 16, 50191, 16, 27776, 203, 19584, 13164, 301, 696, 20954, 396, 6657, 12401, 873, 20954, 16, 24033, 203, 17095, 17197, 696, 20954, 203, 54, 47158, 8303, 10597, 696, 20954, 16, 430, 17, 34321, 203, 12921, 18493, 696, 29482, 16, 17444, 36829, 16, 24033, 16, 32140, 277, 203, 47883, 718, 36184, 2467, 696, 27232, 7308, 16, 24033, 16, 50191, 16, 39504, 342, 203, 203, 521, 13237, 2720, 13791, 2607, 1110, 203, 521, 1963, 689, 4564, 410, 292, 225, 88, 76, 73, 5803, 6, 318, 568, 7035, 286, 359, 689, 521, 13237, 2720, 13791, 24688, 7701, 30, 409, 1399, 410, 292, 225, 88, 76, 73, 5803, 1556, 738, 318, 225, 88, 76, 73, 5837, 292, 832, 3943, 345, 38895, 48765, 427, 10237, 225, 69, 689, 50, 10597, 2720, 13791, 24688, 30, 6, 203, 409, 13237, 2720, 13791, 24688, 377, 318, 689, 521, 29118, 1258, 2670, 225, 88, 76, 73, 361, 17, 1677, 286, 9483, 526, 2013, 16, 689, 34442, 4669, 225, 69, 41689, 6, 203, 409, 13237, 2720, 13791, 24688, 384, 318, 689, 521, 4168, 12341, 292, 528, 2670, 225, 88, 76, 73, 361, 17, 1677, 286, 9463, 526, 2013, 689, 31819, 1591, 2339, 6, 203, 409, 13237, 2720, 13791, 24688, 685, 318, 689, 521, 23211, 2670, 225, 88, 76, 73, 361, 17, 1677, 286, 9463, 526, 8396, 16, 689, 25092, 14792, 6, 290, 689, 35245, 587, 6, 203, 203, 12891, 6847, 203, 2282, 1813, 48765, 396, 3376, 13, 6847, 2, 0, 38, 4745, 303, 78, 2815, 2192, 1515, 1021, 31620, 13195, 4478, 318, 225, 69, 4227, 291, 3620, 17, 13289, 27659, 9303, 16, 10002, 291, 12478, 2364, 292, 1515, 1021, 628, 3271, 16, 5630, 16963, 285, 3271, 17, 25406, 86, 466, 2192, 2307, 16, 19465, 18, 203, 203, 35370, 203, 203, 829, 8338, 10887, 16, 2994, 292, 46959, 303, 78, 2815, 2192, 1515, 1021, 31620, 13195, 4478, 9513, 371, 11704, 16, 290, 2154, 2994, 292, 19764, 35746, 69, 13195, 2005, 77, 290, 389, 24266, 2339, 133, 244, 69, 18, 203, 203, 1987, 203, 5578, 17, 2472, 30, 689, 50, 287, 303, 6775, 265, 369, 47419, 2166, 11420, 88, 11548, 45883, 14228, 31239, 17, 13398, 18, 8463, 622, 2995, 30276, 25959, 13077, 1900, 21335, 466, 82, 533, 2303, 466, 9932, 2303, 69, 2043, 472, 1365, 89, 2000, 523, 3381, 45929, 90, 1538, 373, 16, 35107, 16, 4589, 18, 203, 203, 18844, 3152, 291, 5630, 16963, 285, 3271, 17, 25406, 86, 466, 2192, 2307, 2, 0, 14859, 21566, 762, 12436, 318, 225, 69, 6485, 1644, 7440, 1782, 431, 13687, 44380, 18, 203, 203, 14859, 21566, 762, 12436, 783, 568, 3188, 286, 30, 203, 2306, 21566, 762, 12436, 396, 2342, 303, 873, 225, 69, 4738, 431, 14756, 1291, 493, 203, 2306, 21566, 762, 12436, 30, 4107, 423, 225, 88, 76, 73, 16612, 20624, 17778, 9131, 9345, 203, 689, 14859, 21566, 762, 12436, 2995, 225, 69, 1963, 431, 225, 88, 76, 73, 1233, 7356, 10189, 423, 1644, 14273, 2, 0, 1624, 80, 13098, 30306, 2788, 17550, 19718, 396, 3640, 3538, 2485, 11086, 13, 318, 225, 69, 12504, 6693, 18, 203, 203, 9794, 290, 2269, 203, 203, 9035, 1185, 346, 4107, 225, 203, 1624, 80, 13098, 30306, 2788, 17550, 19718, 16, 596, 318, 568, 1712, 359, 1099, 80, 13098, 385, 3157, 325, 3538, 2485, 11086, 291, 21982, 18, 2325, 548, 291, 1452, 2483, 346, 225, 88, 76, 73, 2804, 345, 780, 3682, 1139, 1154, 633, 806, 383, 864, 1204, 16, 573, 385, 1740, 689, 46098, 2656, 409, 1275, 1698, 706, 664, 654, 609, 8171, 3376, 16, 573, 644, 519, 1592, 1870, 519, 884, 909, 290, 6541, 25960, 383, 519, 864, 1204, 7321, 1634, 18, 9931, 519, 864, 1204, 806, 16, 225, 69, 1162, 292, 225, 88, 76, 73, 11303, 1592, 292, 225, 88, 76, 73, 2804, 1736, 290, 770, 286, 339, 6096, 431, 631, 3357, 1592, 18, 2924, 1619, 16, 1099, 80, 13098, 8669, 359, 780, 3838, 6541, 290, 1376, 346, 633, 2804, 24886, 18, 1591, 225, 88, 76, 73, 631, 1275, 1592, 961, 2657, 16, 225, 88, 76, 73, 2804, 2891, 286, 1626, 519, 4590, 286, 345, 292, 16, 689, 15919, 10100, 2656, 4631, 1452, 7463, 14295, 292, 30963, 4317, 1702, 8395, 290, 6541, 383, 1491, 19674, 16, 8411, 290, 11437, 544, 644, 652, 6800, 286, 1312, 18, 203, 203, 14119, 346, 609, 12504, 3852, 225, 203, 15505, 724, 2358, 8448, 383, 225, 88, 76, 73, 24373, 83, 24875, 2473, 20954, 2349, 18, 1108, 857, 1981, 325, 286, 1312, 383, 225, 88, 76, 73, 4383, 33636, 752, 13098, 3539, 2237, 326, 1220, 806, 291, 21982, 18, 1099, 80, 13098, 504, 2406, 346, 4761, 255, 1555, 27870, 43326, 13584, 79, 396, 267, 5054, 13, 291, 225, 88, 76, 73, 2353, 32013, 272, 695, 471, 355, 31, 319, 376, 10028, 360, 1963, 318, 4761, 255, 1555, 526, 1963, 291, 225, 88, 76, 73, 2353, 18, 601, 385, 1154, 442, 2223, 345, 1099, 80, 13098, 526, 22378, 290, 15123, 2483, 286, 5880, 18, 2325, 1977, 9077, 2358, 346, 225, 88, 76, 73, 2804, 3682, 633, 5891, 629, 27760, 290, 541, 357, 385, 449, 941, 981, 780, 1100, 6200, 961, 3884, 286, 339, 225, 69, 785, 22240, 326, 4383, 12504, 3539, 3702, 16, 9925, 3070, 1254, 2373, 18, 1099, 80, 13098, 644, 2406, 346, 9925, 3070, 326, 1700, 2223, 292, 595, 18, 1236, 857, 3230, 325, 290, 6672, 286, 339, 225, 69, 785, 22240, 326, 2162 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1378, 4383, 12504, 3702, 16, 2228, 2035, 18, 1099, 80, 13098, 644, 2406, 346, 2228, 2035, 326, 225, 69, 2736, 2223, 292, 595, 290, 754, 803, 3901, 16, 780, 2483, 286, 4715, 2314, 2479, 291, 225, 88, 76, 73, 1452, 1950, 18, 9741, 16, 1154, 225, 88, 76, 73, 1150, 2223, 359, 780, 385, 961, 225, 69, 785, 22240, 16, 780, 1837, 5003, 291, 8204, 290, 1852, 74, 43263, 573, 7555, 8412, 633, 2479, 291, 1452, 291, 2639, 18, 203, 203, 50, 262, 272, 695, 471, 355, 954, 8375, 14034, 77, 225, 203, 10776, 479, 803, 3901, 290, 3942, 2479, 780, 6892, 16, 1099, 80, 13098, 2891, 286, 1788, 527, 290, 1514, 633, 884, 2353, 346, 225, 88, 76, 73, 1118, 292, 633, 1907, 16, 3129, 21283, 41414, 303, 1365, 5551, 94, 290, 12767, 355, 27870, 43326, 13584, 79, 596, 371, 1592, 292, 225, 88, 76, 73, 4383, 12504, 1275, 16, 6129, 2336, 18, 1099, 80, 13098, 703, 499, 325, 290, 1151, 225, 69, 4013, 346, 14347, 4107, 9778, 290, 16887, 633, 2949, 383, 1376, 698, 14041, 633, 724, 2353, 18, 8537, 16, 1228, 979, 449, 2471, 359, 1709, 359, 4164, 359, 3855, 290, 541, 225, 88, 76, 73, 1737, 602, 780, 22464, 325, 225, 88, 76, 73, 723, 292, 4383, 17748, 16, 3129, 21283, 290, 12767, 355, 286, 2152, 633, 2949, 359, 761, 359, 3796, 633, 754, 442, 724, 7182, 3603, 698, 14041, 279, 2353, 18, 1979, 479, 225, 88, 76, 73, 15043, 548, 383, 225, 88, 76, 73, 4822, 326, 10593, 1220, 806, 16, 1099, 80, 13098, 644, 3579, 652, 1316, 286, 3216, 633, 724, 2353, 291, 4597, 573, 385, 9706, 16, 689, 50, 262, 272, 695, 471, 355, 6, 291, 4597, 18, 2591, 292, 225, 88, 76, 73, 8396, 2740, 423, 442, 2353, 2626, 689, 44120, 80, 5011, 81, 16034, 13098, 81, 13098, 41414, 274, 3484, 69, 14437, 2995, 689, 20997, 19718, 74, 352, 77, 13662, 81, 6, 290, 689, 55, 376, 553, 360, 2656, 409, 2353, 644, 629, 9703, 1476, 383, 225, 88, 76, 73, 3352, 16, 1155, 357, 385, 449, 225, 69, 2220, 3289, 17, 447, 2353, 18, 9528, 286, 345, 16, 1099, 80, 13098, 1837, 225, 69, 1308, 2182, 423, 225, 88, 76, 73, 2178, 1452, 1950, 290, 3579, 4810, 527, 2563, 524, 346, 633, 1361, 2353, 1740, 689, 29624, 14034, 77, 6, 291, 4988, 18, 2591, 292, 225, 88, 76, 73, 8396, 2740, 706, 423, 442, 2353, 1706, 16, 689, 29624, 14034, 77, 2995, 689, 56, 5011, 81, 11983, 257, 73, 15222, 332, 24875, 11845, 13098, 2995, 290, 689, 47, 5551, 4263, 5011, 24875, 5011, 81, 2656, 1558, 292, 225, 88, 76, 73, 6374, 291, 442, 2353, 644, 652, 8772, 431, 1099, 80, 13098, 6200, 18, 203, 203, 40, 555, 10348, 81, 20047, 38865, 76, 2018, 93, 301, 13098, 81, 10255, 225, 203, 829, 2355, 3868, 16, 1099, 80, 13098, 1981, 325, 286, 3216, 633, 2630, 2353, 573, 318, 9706, 16, 689, 55, 5551, 93, 1047, 77, 24875, 355, 11983, 257, 620, 13098, 80, 454, 69, 20355, 80, 13098, 2656, 43737, 16, 357, 504, 4642, 286, 3140, 225, 69, 1171, 292, 2949, 290, 1476, 4722, 1856, 18, 2325, 724, 2013, 2740, 16, 689, 40, 555, 10348, 81, 20047, 38865, 76, 2018, 93, 301, 13098, 81, 10255, 6, 396, 5834, 1817, 689, 45, 659, 286, 4770, 9530, 318, 5980, 2533, 325, 12504, 4824, 290, 3282, 6463, 18, 332, 1162, 2039, 12534, 16, 1099, 80, 13098, 1981, 325, 286, 3216, 633, 1361, 2013, 1740, 16, 689, 61, 454, 13098, 48182, 13098, 7102, 81, 13392, 281, 6, 396, 5834, 1817, 689, 1266, 2087, 985, 723, 18223, 601, 1248, 504, 4642, 286, 2834, 225, 69, 1171, 292, 2949, 290, 1593, 2539, 2453, 12504, 7741, 290, 3282, 6463, 359, 761, 18, 203, 203, 28159, 203, 203, 26767, 1563, 32013, 272, 695, 471, 355, 396, 9578, 13, 203, 8375, 14034, 77, 396, 12353, 13, 203, 319, 5551, 93, 1047, 77, 24875, 355, 11983, 257, 620, 13098, 80, 454, 69, 20355, 80, 13098, 396, 10978, 13, 203, 389, 5011, 47073, 396, 8454, 13, 203, 203, 28016, 1563, 361, 5011, 93, 5011, 72, 5011, 79, 396, 8766, 13, 203, 30306, 2788, 5011, 94, 5011, 348, 73, 577, 274, 82, 13098, 94, 2408, 5874, 577, 13098, 412, 13098, 94, 8963, 396, 9611, 13, 203, 4761, 255, 8999, 331, 353, 264, 396, 8859, 13, 203, 203, 1987, 1563, 203, 22058, 4686, 203, 6004, 717, 203, 11854, 4281, 4679, 14314, 203, 35780, 3539, 14314, 203, 35780, 6693, 17, 16513, 18009, 203, 2866, 334, 17, 4577, 12504, 14314, 203, 2866, 334, 17, 4577, 12504, 1778, 14314, 2, 0, 14247, 355, 33516, 19627, 1814, 2827, 8587, 696, 1814, 2485, 5725, 13, 385, 279, 12525, 9696, 596, 3220, 359, 225, 69, 2260, 292, 225, 88, 76, 73, 556, 637, 311, 326, 42409, 341, 290, 2060, 6600, 1133, 7196, 290, 5725, 16, 359, 761, 359, 13535, 292, 32847, 1133, 10156, 290, 7196, 18, 203, 203, 15731, 203, 13788, 291, 12893, 267, 291, 21370, 16, 33516, 959, 358, 17841, 1021, 286, 6600, 291, 14106, 16, 290, 2406, 359, 279, 9229, 16847, 1780, 18066, 18, 203, 203, 829, 11124, 458, 2154, 225, 69, 2260, 292, 2325, 327, 526, 4574, 34428, 16, 290, 1133, 10708, 290, 10156, 458, 31933, 225, 88, 76, 73, 2090, 17828, 3721, 292, 225, 88, 76, 73, 3062, 10264, 17828, 291, 6600, 18, 557, 10201, 458, 2154, 14071, 11582, 292, 32847, 16, 290, 225, 88, 76, 73, 1737, 602, 2154, 13535, 16, 5050, 1535, 7196, 18, 203, 203, 829, 225, 88, 76, 73, 3283, 17, 13981, 87, 33516, 3989, 42409, 341, 16, 225, 69, 631, 2839, 3178, 431, 522, 3845, 16, 3906, 18, 26744, 385, 724, 6413, 286, 225, 88, 76, 73, 556, 637, 311, 325, 225, 88, 76, 73, 37979, 457, 17, 56, 94, 964, 17, 43, 272, 341, 1241, 291, 7196, 18, 4150, 522, 724, 3463, 16, 458, 31933, 225, 88, 76, 73, 13803, 290, 27996, 5143, 18, 203, 203, 1905, 225, 88, 76, 73, 6485, 8690, 16, 42409, 341, 6291, 225, 88, 76, 73, 2060, 6600, 18089, 1511, 346, 225, 88, 76, 73, 9271, 4771, 290, 2339, 355, 317, 18, 33516, 385, 4265, 1124, 88, 76, 325, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 88, 76, 73, 18089, 526, 1241, 16, 290, 15838, 522, 5457, 359, 2060, 6600, 8021, 3538, 31797, 18, 731, 385, 568, 6568, 14071, 18479, 292, 225, 88, 76, 73, 556, 637, 311, 18, 203, 203, 2091, 1148, 2209, 5755, 16, 33516, 16, 3906, 33516, 290, 39386, 2615, 382, 32976, 3166, 8267, 1576, 423, 2060, 6600, 286, 307, 17, 23497, 42409, 341, 359, 279, 4885, 28365, 18, 33516, 17614, 522, 5457, 325, 848, 2262, 5725, 16, 290, 385, 6096, 431, 2339, 355, 317, 526, 48436, 14235, 10516, 317, 396, 287, 225, 88, 76, 73, 2060, 6600, 1241, 7719, 1146, 5395, 286, 28526, 859, 731, 3904, 1560, 2039, 1708, 18, 203, 203, 10776, 522, 2371, 16, 225, 88, 76, 73, 50056, 378, 32205, 303, 32847, 2746, 2595, 385, 14070, 689, 44, 32205, 303, 26744, 32847, 6, 291, 522, 13665, 18, 203, 203, 1987, 203, 203, 3257, 2477, 9664, 203, 21009, 4686, 203, 13452, 5850, 203, 45894, 49078, 292, 3152, 291, 6600, 203, 45894, 35771, 292, 225, 88, 76, 73, 556, 637, 311, 203, 43, 272, 341, 396, 34190, 2839, 13, 9834, 203, 8714, 327, 9834, 203, 24629, 12525, 9834, 203, 35344, 717, 292, 32474, 17, 24629, 12107, 203, 4644, 816, 292, 3152, 291, 6600, 203, 5013, 423, 32847, 203, 9807, 292, 225, 88, 76, 73, 2116, 88, 76, 556, 637, 311, 396, 16117, 1180, 14646, 13, 203, 9807, 292, 225, 88, 76, 73, 1583, 88, 76, 556, 637, 311, 396, 14646, 1180, 12891, 13, 203, 18085, 432, 6426, 29857, 286, 6600, 203, 825, 88, 76, 17, 4577, 32474, 11457, 203, 3134, 6600, 9834, 203, 5013, 423, 12893, 267, 2, 0, 7822, 293, 4488, 9798, 225, 318, 225, 69, 7797, 292, 225, 88, 76, 73, 10236, 292, 9798, 21622, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 55, 5431, 16, 291, 15118, 16, 783, 3188, 286, 30, 4327, 409, 28191, 396, 1633, 869, 873, 279, 13596, 18184, 1909, 423, 225, 88, 76, 73, 28805, 13457, 203, 319, 18, 59, 18, 51, 18, 54, 18, 40, 18, 396, 1633, 869, 873, 225, 69, 15052, 18184, 8429, 345, 7665, 346, 14446, 11741, 203, 28191, 396, 20930, 87, 16538, 873, 225, 69, 6284, 87, 16538, 2449, 596, 724, 4938, 291, 225, 88, 76, 73, 5606, 2952, 15915, 27727, 16, 458, 318, 279, 14653, 9881, 2693, 292, 4970, 203, 28191, 16, 225, 88, 76, 73, 9743, 20394, 292, 28911, 13903, 16, 225, 69, 8541, 9927, 24990, 596, 4938, 291, 38014, 18184, 290, 7073, 18184, 203, 28191, 292, 17556, 30764, 16, 225, 69, 3525, 6650, 393, 501, 606, 72, 290, 225, 88, 76, 73, 14753, 50137, 262, 203, 203, 3591, 568, 203, 2633, 3202, 396, 20404, 13, 203, 2633, 3202, 1010, 396, 1633, 869, 13, 203, 5086, 699, 5431, 396, 1633, 869, 13, 2, 0, 521, 43407, 380, 47830, 16, 568, 1712, 359, 2160, 7334, 388, 3933, 7334, 47830, 16, 385, 225, 69, 18258, 292, 14886, 295, 2532, 17, 34264, 32267, 4067, 18, 225, 731, 318, 3285, 286, 339, 225, 88, 76, 73, 724, 13681, 666, 286, 12197, 225, 88, 76, 73, 36885, 26787, 2296, 596, 1981, 325, 286, 970, 522, 884, 2296, 290, 4974, 16052, 18, 409, 43407, 380, 47830, 318, 1541, 1712, 286, 339, 554, 292, 225, 88, 76, 73, 2536, 18078, 292, 2532, 17, 34264, 18, 731, 770, 2406, 291, 442, 2296, 16, 573, 318, 4350, 325, 522, 1565, 32267, 291, 225, 88, 76, 73, 2090, 43341, 4680, 291, 17015, 18, 3531, 292, 225, 88, 76, 73, 1712, 43407, 380, 47830, 28138, 643, 1100, 291, 40511, 578, 6259, 955, 359, 44470, 290, 6088, 89, 3428, 18, 203, 203, 13870, 32267, 225, 203, 2091, 225, 88, 76, 73, 6032, 292, 279, 17756, 17795, 291, 225, 88, 76, 73, 2090, 43341, 4680, 292, 17015, 16, 225, 88, 76, 73, 13005, 19905, 43407, 380, 7064, 2325, 9748, 18, 409, 4429, 318, 568, 7473, 346, 225, 88, 76, 73, 1565, 1866, 4685, 7334, 9098, 225, 88, 76, 73, 14886, 295, 25743, 1139, 292, 225, 88, 76, 73, 1565, 43407, 380, 18, 2212, 389, 18, 1397, 890, 1473, 16, 225, 88, 76, 73, 7704, 325, 14886, 295, 32267, 4067, 16, 16686, 225, 88, 76, 73, 1565, 1866, 521, 43407, 380, 47830, 11, 286, 442, 3702, 18, 9365, 16, 819, 631, 7922, 291, 17015, 290, 291, 225, 69, 18449, 2573, 225, 88, 76, 73, 1830, 16, 8650, 292, 17685, 7354, 643, 6884, 346, 442, 13005, 290, 1397, 890, 1473, 10102, 3867, 286, 787, 225, 88, 76, 73, 1565, 1866, 2300, 355, 7354, 47830, 17300, 517, 357, 6449, 286, 942, 2639, 13042, 18, 4536, 798, 7417, 44880, 4862, 519, 548, 325, 38863, 390, 694, 8013, 16, 1849, 18078, 979, 449, 1541, 1151, 519, 548, 16, 6097, 8061, 1535, 19901, 955, 359, 1397, 890, 1473, 3689, 2875, 4590, 18, 203, 203, 28483, 290, 8819, 1563, 203, 5997, 292, 225, 88, 76, 73, 3702, 526, 1712, 2016, 2443, 4190, 423, 7417, 23524, 290, 22073, 18, 1507, 225, 88, 76, 73, 6032, 292, 225, 69, 6707, 17501, 2311, 295, 32267, 423, 225, 88, 76, 73, 1148, 88, 76, 3503, 33356, 16, 2558, 291, 2090, 43341, 4680, 292, 17015, 16, 225, 88, 76, 73, 13005, 19905, 43407, 380, 7064, 2325, 9748, 18, 557, 442, 31904, 2325, 9748, 318, 3427, 423, 1736, 286, 1054, 16, 7895, 225, 88, 76, 73, 4519, 345, 225, 69, 3337, 483, 703, 949, 16, 31488, 225, 88, 76, 73, 6585, 345, 745, 292, 225, 88, 76, 73, 43407, 380, 47830, 12259, 371, 1100, 291, 40511, 578, 6259, 18, 225, 409, 13005, 526, 1846, 2016, 371, 22031, 292, 225, 88, 76, 73, 6100, 17, 10468, 2944, 26787, 8504, 16, 1249, 1803, 17, 48875, 28974, 342, 664, 345, 292, 225, 88, 76, 73, 8769, 47830, 18, 409, 1866, 50, 376, 380, 11, 32267, 2719, 225, 88, 76, 73, 3702, 11999, 225, 69, 2296, 6240, 423, 225, 88, 76, 73, 36885, 26787, 2296, 16, 573, 383, 442, 3232, 396, 18539, 1148, 88, 76, 3503, 33356, 13, 385, 7473, 431, 2017, 13327, 5690, 290, 37919, 7144, 18, 409, 28974, 342, 290, 37919, 7144, 385 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 225, 88, 76, 73, 4293, 15153, 292, 225, 88, 76, 73, 631, 2532, 17, 34264, 2296, 18, 3531, 292, 522, 548, 9026, 291, 225, 88, 76, 73, 1172, 5127, 292, 225, 88, 76, 73, 1148, 88, 76, 3503, 16, 1154, 225, 88, 76, 73, 6166, 423, 225, 88, 76, 73, 6100, 17, 10468, 2944, 26787, 286, 36885, 26787, 18, 4150, 442, 595, 458, 979, 449, 3190, 8331, 37919, 7144, 16, 517, 431, 1249, 797, 388, 543, 39410, 3882, 458, 4974, 225, 69, 631, 7842, 637, 290, 14870, 292, 1139, 774, 745, 3839, 346, 32519, 16, 24344, 290, 4618, 5115, 18, 203, 203, 521, 43407, 380, 47830, 568, 11146, 225, 88, 76, 73, 2532, 17, 34264, 2296, 1509, 346, 3852, 955, 359, 1461, 1000, 10999, 16, 290, 319, 5106, 299, 380, 18, 738, 2296, 783, 427, 225, 10057, 2986, 13681, 666, 29143, 18, 3260, 17, 34264, 2296, 18265, 291, 2811, 13871, 16, 517, 2154, 823, 2220, 2196, 13681, 1947, 18, 13681, 666, 29143, 783, 568, 427, 10963, 346, 2532, 17, 34264, 4067, 18, 409, 4067, 325, 225, 88, 76, 73, 43407, 380, 47830, 526, 1565, 32267, 3667, 7859, 18105, 754, 225, 88, 76, 73, 1806, 292, 2325, 9748, 9990, 43407, 380, 18, 225, 203, 6005, 286, 6330, 24282, 16, 409, 43407, 380, 47830, 318, 3285, 431, 19901, 286, 339, 225, 88, 76, 73, 3437, 1547, 1133, 9850, 14886, 295, 32267, 4067, 290, 225, 88, 76, 73, 631, 36885, 26787, 2296, 16, 573, 3667, 5684, 29947, 290, 49330, 7227, 290, 7825, 18, 601, 318, 43090, 291, 709, 787, 292, 2660, 37431, 16, 517, 1541, 3667, 1731, 32019, 286, 50188, 225, 88, 76, 73, 1731, 2647, 292, 225, 88, 76, 73, 13327, 18, 601, 318, 225, 88, 76, 73, 8002, 431, 2212, 4119, 1010, 345, 16059, 4429, 4067, 783, 427, 10650, 225, 88, 76, 73, 43407, 380, 47830, 290, 522, 40395, 16, 359, 225, 88, 76, 73, 43619, 1013, 2660, 286, 40446, 345, 225, 69, 2245, 19498, 286, 225, 69, 4750, 290, 1731, 286, 9458, 345, 357, 19498, 286, 225, 69, 4062, 18, 378, 18, 44, 18, 1399, 993, 454, 20604, 345, 11123, 979, 449, 3896, 2532, 17, 34264, 24109, 16, 12330, 286, 225, 88, 76, 73, 3890, 292, 16632, 12259, 291, 225, 69, 2296, 345, 504, 1620, 2220, 2196, 6316, 345, 427, 12516, 286, 17015, 18, 23990, 385, 11123, 1712, 326, 7368, 24109, 345, 4632, 325, 6556, 3508, 2669, 16, 1482, 17015, 290, 3852, 955, 359, 225, 88, 76, 73, 43407, 380, 47830, 874, 543, 2220, 2196, 5193, 16243, 18, 203, 203, 39377, 3126, 292, 2325, 9748, 18265, 346, 225, 88, 76, 73, 430, 343, 14389, 555, 596, 643, 21349, 431, 225, 88, 76, 73, 1640, 337, 391, 290, 3457, 292, 522, 13082, 286, 225, 88, 76, 73, 47012, 290, 34355, 286, 4207, 47261, 286, 1766, 346, 225, 88, 76, 73, 16921, 819, 522, 2371, 18, 409, 12751, 18105, 325, 225, 88, 76, 73, 12656, 2719, 2325, 9748, 2586, 286, 10613, 1466, 666, 9306, 423, 225, 88, 76, 73, 1235, 2156, 43407, 380, 5334, 458, 19543, 346, 522, 18850, 18, 409, 1806, 7560, 1466, 666, 9306, 290, 2325, 9748, 22906, 277, 225, 88, 76, 73, 1235, 2156, 43407, 380, 286, 3254, 225, 88, 76, 73, 5428, 3747, 308, 291, 1374, 286, 8032, 453, 622, 308, 596, 385, 12178, 581, 522, 19025, 22546, 18, 2325, 9748, 21183, 225, 88, 76, 73, 5428, 724, 16, 4721, 1466, 666, 9306, 346, 43407, 380, 596, 9139, 286, 19731, 633, 18, 2325, 9748, 16, 961, 541, 1856, 1576, 424, 770, 787, 522, 4587, 290, 18850, 286, 3991, 43407, 380, 18, 2776, 43407, 380, 27898, 12815, 16, 458, 2221, 1466, 666, 9306, 629, 292, 522, 3695, 286, 787, 359, 225, 69, 1246, 1849, 297, 326, 2325, 9748, 18, 834, 19289, 614, 10131, 286, 633, 16, 522, 3695, 318, 35503, 18, 16481, 16, 1466, 666, 9306, 16, 19593, 292, 2325, 9748, 526, 798, 5490, 21609, 1668, 16, 863, 3560, 43407, 380, 526, 3695, 325, 2325, 9748, 526, 41716, 16, 10435, 522, 2680, 16, 4586, 950, 10990, 16, 290, 9990, 950, 18, 409, 12656, 568, 504, 225, 69, 31904, 292, 1466, 666, 9306, 8200, 1576, 291, 225, 69, 1092, 10267, 346, 1560, 8703, 16, 225, 69, 4573, 345, 8277, 819, 2325, 9748, 504, 8151, 1466, 666, 9306, 290, 7465, 286, 9056, 225, 88, 76, 73, 1235, 2156, 1912, 543, 286, 744, 1336, 458, 318, 3830, 18, 738, 12751, 385, 541, 2220, 346, 225, 88, 76, 73, 430, 343, 14389, 555, 345, 544, 4810, 527, 8289, 798, 12259, 24432, 225, 88, 76, 73, 4573, 18, 203, 203, 6050, 12229, 2443, 292, 225, 88, 76, 73, 43407, 380, 47830, 385, 225, 88, 76, 73, 5259, 292, 629, 292, 522, 548, 16, 573, 4872, 658, 225, 69, 14995, 291, 6481, 18, 203, 203, 28020, 292, 548, 1563, 203, 829, 225, 88, 76, 73, 1565, 32267, 17756, 17795, 24432, 43407, 380, 7064, 2325, 9748, 16, 225, 225, 88, 76, 73, 13005, 20632, 6395, 3645, 955, 359, 225, 69, 31904, 292, 2325, 9748, 346, 225, 69, 1381, 7382, 18, 738, 22726, 423, 9459, 345, 4887, 2719, 2325, 9748, 346, 225, 69, 21498, 290, 522, 6456, 25328, 292, 225, 69, 20992, 2680, 41716, 290, 20992, 8055, 18, 409, 4590, 292, 1119, 43407, 380, 290, 2325, 9748, 371, 3055, 2304, 624, 16, 16805, 345, 2459, 225, 88, 76, 73, 3702, 388, 2170, 291, 522, 6994, 385, 3656, 405, 18, 409, 1716, 292, 225, 88, 76, 73, 15999, 2134, 11918, 6342, 326, 2775, 667, 3700, 7837, 18, 13517, 427, 6246, 345, 225, 88, 76, 73, 4573, 783, 427, 652, 19905, 811, 1257, 1966, 286, 11918, 5346, 2304, 225, 88, 76, 73, 3363, 774, 30335, 16, 46077, 2303, 2985, 16, 290, 11339, 886, 18, 409, 32267, 526, 9459, 9373, 279, 10614, 325, 2325, 9748, 290, 1071, 449, 2443, 1466, 666, 9306, 291, 225, 88, 76, 73, 3313, 16, 1334, 345, 19901, 955, 359, 395, 18, 49, 18, 8235, 366, 6951, 385, 1772, 286, 20422, 2325, 9748, 1412, 8666, 225, 88, 76, 73, 1235, 2156, 43407, 380, 18, 6480, 4706, 1953, 292, 522, 2016, 703, 1706, 14886, 295, 2532, 17, 34264, 24485, 20192, 17795, 40169, 433, 16, 5476, 291, 14886, 3271, 16, 11123, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 581, 1025, 825, 33356, 18, 203, 203, 1987, 1563, 203, 27, 88, 76, 17, 4577, 8625, 5850, 203, 38486, 7417, 32267, 18078, 203, 15124, 3852, 292, 44809, 203, 5013, 423, 14886, 3271, 203, 10884, 292, 2420, 8061, 2, 0, 22238, 90, 297, 577, 13590, 17, 19797, 19516, 396, 3640, 848, 2494, 9463, 13, 318, 225, 69, 17258, 12796, 346, 4952, 335, 627, 8615, 596, 1172, 2533, 326, 21589, 2595, 453, 36693, 303, 362, 29800, 36693, 77, 359, 225, 69, 26444, 18, 203, 203, 10449, 203, 203, 28645, 2269, 225, 203, 61, 13590, 17, 19797, 19516, 1698, 522, 2269, 383, 225, 88, 76, 73, 1240, 962, 292, 395, 18, 12545, 393, 18, 39, 18, 517, 385, 5476, 431, 23587, 10681, 3556, 962, 395, 18, 41, 18, 50137, 71, 2113, 827, 458, 3989, 225, 88, 76, 73, 4957, 962, 18, 731, 3118, 2314, 346, 3586, 1291, 736, 497, 16, 827, 458, 504, 6189, 4642, 225, 88, 76, 73, 1788, 423, 225, 88, 76, 73, 4957, 962, 286, 225, 88, 76, 73, 724, 962, 18, 203, 203, 17076, 1291, 736, 497, 556, 18, 58, 18, 225, 203, 2856, 1560, 806, 291, 225, 88, 76, 73, 4957, 962, 16, 577, 13590, 17, 19797, 19516, 1698, 2561, 326, 225, 88, 76, 73, 724, 962, 292, 3586, 1291, 736, 497, 291, 4589, 18, 731, 6925, 225, 69, 2717, 326, 3586, 1291, 736, 497, 291, 225, 88, 76, 73, 24296, 4004, 3556, 1584, 44395, 18, 203, 203, 54, 9932, 39535, 225, 203, 829, 225, 88, 76, 73, 2779, 292, 3868, 16, 458, 3230, 423, 3586, 1291, 736, 497, 286, 8205, 69, 39535, 18, 203, 203, 39806, 15711, 27510, 225, 203, 2091, 1872, 2494, 3008, 16, 357, 385, 3823, 345, 16587, 15711, 27510, 644, 4862, 577, 13590, 17, 19797, 19516, 18, 203, 203, 47, 18, 58, 18, 39, 18, 33475, 687, 225, 203, 2091, 1188, 2427, 3008, 16, 458, 4415, 286, 1689, 12952, 16, 7171, 556, 18, 58, 18, 39, 18, 33475, 687, 290, 9649, 225, 69, 554, 17, 2996, 4013, 18, 203, 203, 38, 1384, 10130, 225, 203, 2091, 1814, 2827, 2855, 16, 8639, 90, 297, 577, 13590, 17, 19797, 19516, 4862, 326, 857, 3556, 377, 10194, 45169, 10130, 325, 1928, 17, 1373, 17674, 3245, 819, 225, 69, 1220, 17, 11028, 4972, 18, 1218, 819, 2561, 291, 225, 69, 10058, 1305, 1584, 31206, 42354, 16, 458, 385, 1424, 499, 431, 4651, 9640, 50135, 18, 203, 203, 27582, 203, 17076, 1291, 736, 497, 203, 43744, 4236, 30, 4109, 1180, 6688, 203, 203, 1987, 203, 203, 3257, 2477, 4327, 15666, 383, 16587, 15711, 20351, 567, 18, 26402, 203, 203, 19554, 4686, 203, 6004, 717, 203, 32210, 423, 37051, 5136, 69, 203, 43744, 9038, 203, 48647, 4957, 2818, 9038, 203, 39226, 4321, 292, 225, 88, 76, 73, 23956, 9038, 203, 43744, 717, 292, 9170, 4321, 292, 225, 88, 76, 73, 23956, 12107, 203, 39226, 4321, 292, 225, 88, 76, 73, 23956, 29857, 286, 12952, 203, 17076, 1291, 736, 497, 556, 58, 1865, 203, 54, 9932, 39535, 12660, 5639, 719, 1865, 203, 38, 1384, 393, 18, 39, 18, 1865, 203, 52, 6761, 16587, 15711, 27510, 1865, 203, 47, 18, 58, 18, 39, 18, 33475, 687, 1865, 203, 48039, 453, 36693, 303, 362, 29800, 36693, 77, 1865, 203, 43744, 3440, 5669, 332, 1865, 203, 41, 790, 440, 293, 694, 1865, 203, 5548, 8642, 7202, 3556, 396, 22591, 19522, 13, 1865, 203, 42316, 314, 1865, 203, 43744, 16078, 9038, 203, 43744, 16078, 21468, 291, 21147, 203, 43744, 16078, 21468, 291, 3994, 203, 43744, 16078, 21468, 291, 225, 88, 76, 73, 9711, 203, 43744, 16078, 21468, 291, 17349, 203, 22590, 9038, 291, 21147, 203, 22590, 9038, 291, 7953, 203, 22590, 9038, 291, 3994, 203, 22590, 9038, 291, 225, 88, 76, 73, 9711, 203, 22590, 9038, 291, 17349, 203, 15684, 2746, 21557, 2, 0, 521, 1737, 318, 225, 69, 1241, 292, 12378, 290, 5068, 2141, 291, 46361, 7232, 16, 225, 69, 1830, 291, 225, 88, 76, 73, 9555, 292, 14733, 16, 3522, 18, 225, 738, 1241, 2626, 12378, 292, 6107, 2884, 16, 1315, 6400, 12378, 16, 19467, 12378, 16, 28996, 16, 1518, 12378, 16, 6079, 12378, 16, 6556, 12378, 16, 9906, 12378, 16, 290, 18490, 12378, 325, 8965, 18, 203, 203, 29794, 8435, 431, 1569, 203, 203, 21897, 203, 12937, 17703, 396, 8324, 4600, 13, 203, 6620, 425, 36591, 1623, 10931, 3673, 396, 7675, 13, 203, 18763, 46271, 28758, 396, 8079, 13, 203, 21897, 20885, 396, 8079, 13, 203, 203, 18644, 203, 18644, 10555, 17703, 396, 6974, 13, 203, 30482, 7983, 293, 4107, 5288, 396, 7065, 13, 203, 48, 2476, 7232, 3211, 6741, 5288, 396, 7065, 13, 203, 203, 16718, 203, 31686, 3844, 2976, 396, 7077, 13, 203, 50, 17706, 79, 6945, 37625, 5288, 396, 7077, 13, 203, 14824, 19106, 2976, 396, 24306, 4061, 291, 2262, 13, 203, 14121, 2254, 35101, 16950, 5288, 396, 7077, 13, 203, 13064, 1232, 4107, 29794, 396, 7322, 13, 203, 29735, 15754, 366, 396, 7322, 13, 203, 48, 2476, 7232, 13213, 19071, 5288, 396, 7322, 13, 2682, 203, 46011, 2976, 396, 14081, 4886, 291, 2429, 13, 203, 7315, 404, 17, 6811, 11515, 396, 7552, 13, 203, 48, 2476, 7232, 19864, 4107, 5288, 396, 7552, 13, 203, 33326, 69, 3211, 3062, 5549, 396, 7552, 13, 203, 203, 44019, 203, 11239, 954, 6920, 396, 7800, 13, 203, 48, 2476, 7232, 4950, 11515, 396, 7800, 19, 7751, 13, 203, 6143, 325, 225, 88, 76, 73, 3568, 5288, 396, 7800, 13, 203, 33531, 19621, 5288, 396, 8209, 13, 203, 203, 3591, 568, 48532, 203, 7521, 292, 12378, 291, 14733, 203, 7521, 292, 12378, 291, 3522, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 16679, 1830, 1637, 774, 46361, 7232, 2141, 203, 203, 387, 203, 29794, 8435, 203, 5626, 606, 7232, 2, 0, 28455, 33347, 4421, 20301, 2829, 396, 3640, 384, 1589, 10945, 13, 318, 225, 69, 24191, 2677, 1968, 12796, 596, 2533, 359, 225, 69, 19934, 18, 731, 385, 32524, 689, 38, 890, 535, 69, 6, 1966, 286, 522, 4014, 1324, 17, 79, 4191, 18, 203, 203, 10449, 203, 203, 23699, 5340, 4795, 203, 13788, 291, 7365, 27838, 16, 225, 69, 2364, 291, 225, 88, 76, 73, 7445, 991, 292, 7365, 1860, 9879, 16, 20301, 2829, 2483 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 522, 2269, 383, 47959, 4795, 18, 225, 1728, 4796, 383, 225, 88, 76, 73, 724, 7053, 385, 291, 8169, 18, 557, 225, 88, 76, 73, 10332, 15137, 2595, 16, 458, 1825, 225, 88, 76, 73, 7601, 37913, 11158, 9685, 38, 4569, 290, 385, 225, 88, 76, 73, 4174, 526, 6231, 1174, 31198, 346, 1560, 3203, 16, 1597, 6925, 6273, 291, 225, 88, 76, 73, 1361, 1532, 292, 225, 88, 76, 73, 2243, 1584, 5450, 43804, 19744, 8530, 18, 2952, 8169, 286, 6890, 16, 20301, 2829, 2533, 225, 69, 2914, 292, 28450, 24191, 45399, 35331, 6537, 16, 9919, 3538, 3203, 18, 203, 203, 33258, 203, 42775, 2829, 385, 4862, 431, 19419, 2307, 291, 225, 88, 76, 73, 2779, 292, 6890, 326, 4576, 23, 2372, 431, 2677, 19419, 4651, 5857, 5110, 18, 20301, 2829, 385, 225, 88, 76, 73, 724, 10332, 15137, 1801, 286, 748, 291, 225, 88, 76, 73, 10135, 3556, 6300, 14309, 17623, 77, 13225, 16, 596, 385, 383, 21857, 5903, 18, 731, 2678, 2154, 225, 69, 4329, 6967, 290, 1825, 13828, 423, 225, 88, 76, 73, 4329, 819, 9919, 6273, 1584, 19081, 26588, 8221, 291, 225, 88, 76, 73, 6890, 17, 4271, 10135, 3556, 18, 203, 203, 829, 5725, 16, 1027, 2212, 21024, 385, 4651, 16, 20301, 2829, 2154, 524, 17, 1586, 17, 74, 23805, 383, 225, 88, 76, 73, 2595, 290, 644, 225, 69, 1700, 4630, 12858, 383, 35399, 2086, 16, 981, 961, 2740, 431, 19419, 291, 225, 88, 76, 73, 1150, 602, 18, 20301, 2829, 2533, 225, 69, 2914, 292, 5000, 5717, 6537, 326, 225, 88, 76, 73, 16175, 16, 9919, 6196, 1631, 18, 203, 203, 25083, 286, 47959, 4795, 290, 8592, 203, 42775, 2829, 4415, 286, 47959, 4795, 291, 5452, 16, 827, 458, 8792, 423, 11214, 7474, 18, 731, 3682, 225, 88, 76, 73, 2595, 286, 11521, 326, 225, 88, 76, 73, 4988, 37913, 3612, 2867, 317, 5796, 16, 827, 522, 2595, 2970, 286, 25501, 23612, 291, 225, 88, 76, 73, 11221, 292, 1958, 819, 225, 88, 76, 73, 12338, 47110, 16, 346, 20301, 2829, 9919, 423, 225, 88, 76, 73, 3527, 18, 731, 2891, 286, 7041, 291, 4589, 819, 225, 69, 11214, 5516, 4810, 522, 1569, 18, 203, 203, 2598, 225, 88, 76, 73, 3352, 4109, 1180, 6688, 1569, 16, 458, 385, 6568, 225, 88, 76, 73, 2639, 4651, 292, 47959, 4795, 18, 203, 203, 27582, 203, 23699, 5340, 4795, 203, 37913, 1429, 2019, 27402, 30, 7601, 203, 203, 1987, 203, 203, 3257, 2477, 9664, 203, 22366, 4686, 203, 6004, 717, 203, 5013, 423, 7723, 285, 26865, 9012, 3625, 203, 17869, 423, 7365, 1860, 9879, 203, 41522, 9038, 203, 15684, 2746, 21395, 203, 41522, 45399, 35331, 1865, 203, 42390, 3556, 1865, 203, 9327, 7202, 3556, 1865, 203, 23699, 5340, 4795, 9038, 203, 33422, 1553, 2307, 393, 18, 39, 18, 1865, 203, 39, 628, 15940, 2086, 393, 18, 39, 18, 1865, 203, 41522, 2746, 7403, 203, 41522, 16078, 9038, 203, 41522, 16078, 21468, 291, 3994, 203, 22590, 9038, 291, 3994, 2, 0, 521, 40945, 5606, 954, 18491, 318, 225, 88, 76, 73, 5439, 345, 2418, 2883, 4399, 290, 5864, 3009, 1382, 326, 40945, 16, 3470, 18, 203, 203, 6355, 225, 203, 829, 31239, 225, 88, 76, 73, 2086, 292, 40945, 385, 11395, 290, 225, 88, 76, 73, 2086, 526, 8138, 2883, 1056, 385, 3178, 18, 21346, 225, 88, 76, 73, 8138, 4932, 14295, 292, 7191, 1673, 18, 601, 3461, 985, 1535, 18196, 345, 225, 88, 76, 73, 4932, 5996, 519, 724, 45212, 18729, 6279, 18, 1456, 442, 595, 225, 88, 76, 73, 40945, 2086, 3721, 14138, 225, 88, 76, 73, 7492, 292, 797, 1444, 17, 2378, 2883, 4063, 18, 1783, 797, 1673, 2406, 2357, 2021, 225, 69, 927, 16, 4266, 1477, 225, 69, 1302, 16, 290, 5044, 383, 225, 88, 76, 73, 40945, 5606, 8236, 18, 203, 203, 47976, 3838, 286, 1369, 2883, 1382, 1535, 7423, 16, 650, 225, 88, 76, 73, 1319, 292, 4230, 4914, 4872, 4093, 225, 69, 8620, 290, 357, 385, 3110, 345, 225, 88, 76, 73, 3625, 905, 339, 959, 527, 292, 13188, 6025, 2883, 7765, 18, 203, 203, 45656, 19746, 5606, 11378, 225, 203, 2346, 37511, 5606, 954, 18491, 318, 641, 292, 225, 88, 76, 73, 13184, 19746, 5606, 11378, 573, 2418, 5864, 8310, 326, 3080, 10901, 291, 290, 1060, 11861, 2307, 18, 409, 1015, 3313, 16, 1712, 359, 13184, 3933, 5606, 25612, 919, 16, 318, 2558, 291, 40945, 290, 2418, 1260, 17, 21, 17, 21, 2883, 290, 32375, 29039, 286, 658, 377, 18, 22, 2372, 4848, 16, 8224, 279, 1389, 292, 1913, 4168, 10901, 2765, 291, 13184, 3933, 1706, 4806, 69, 5606, 3625, 16, 33270, 5158, 16, 27269, 1077, 5606, 3625, 16, 32822, 5660, 5606, 3625, 16, 22254, 5660, 5606, 3625, 16, 290, 11861, 5606, 3625, 18, 203, 203, 1744, 587, 954, 4437, 284, 12013, 225, 203, 2346, 37511, 5606, 954, 18491, 318, 8553, 698, 797, 43031, 31, 17989, 377, 12537, 292, 2701, 2883, 6463, 16, 290, 17989, 384, 346, 2176, 6463, 18, 203, 203, 1987, 1563, 203, 16788, 10901, 291, 3470, 203, 30966, 1382, 291, 11861, 2307, 16, 3470, 203, 27136, 362, 575, 1382, 291, 225, 88, 76, 73, 1851, 2198, 203, 16788, 3625, 203, 20680, 292, 40945, 16, 3470, 203, 19979, 290, 1489, 4057, 1653, 291, 3470, 2, 0, 39, 15957, 31635, 396, 3640, 2399, 2382, 14063, 13, 318, 279, 2764, 2677, 2609, 596, 504, 1364, 1620, 1712, 359, 225, 69, 3224, 262, 1584, 1699, 290, 326, 9102, 1675, 292, 9420, 286, 1945, 225, 88, 76, 73, 49066, 3650, 18, 203, 203, 9035, 969, 203, 44, 3869, 649, 385, 3157, 286, 2764, 3029, 290, 4895, 291, 3610, 290, 12130, 16, 827, 633, 3223, 385, 225, 69, 5934, 43551, 18, 203, 203, 9885, 2332, 2269, 203, 44, 3869, 649, 2483, 633, 23558, 2269, 383, 225, 88, 76, 73, 6832, 694, 28605, 39865, 5029, 291, 7423, 290, 385, 225, 69, 13633, 43927, 292, 8639, 25491, 355, 21588, 18, 203, 4290, 385, 568, 225, 88, 76, 73, 6967, 2609, 292, 9036, 16381, 29711, 290, 16769, 225, 88, 76, 73, 5880, 292, 633, 2269, 286, 950, 18, 1236, 385, 724, 811, 4013, 346, 7296, 9065, 290, 857, 33714, 286, 23558, 5438, 9618, 10994, 346, 16381, 29711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 326, 225, 69, 602, 18, 9365, 780, 2483, 1376, 326, 34430, 16, 12475, 225, 69, 2405, 1376, 2168, 346, 9036, 4153, 566, 37348, 18, 1456, 724, 2675, 286, 2609, 1699, 16, 780, 1708, 2154, 6765, 581, 225, 88, 76, 73, 30090, 292, 225, 88, 76, 73, 1699, 4194, 290, 1837, 225, 69, 1449, 1584, 1699, 18, 25757, 19, 25346, 9516, 37348, 3972, 689, 39, 15957, 2924, 409, 1776, 886, 6, 359, 225, 69, 13882, 286, 633, 9001, 18, 1236, 644, 225, 69, 941, 2168, 346, 225, 88, 76, 73, 16353, 7150, 11589, 1060, 10842, 98, 17308, 18, 203, 203, 39, 15957, 31635, 14384, 7779, 203, 829, 9463, 780, 5141, 225, 88, 76, 73, 331, 15957, 31635, 14384, 7779, 346, 225, 88, 76, 73, 3382, 292, 4140, 225, 69, 2110, 17, 16623, 9102, 1675, 10693, 286, 1945, 225, 88, 76, 73, 49066, 5684, 3650, 18, 225, 557, 7601, 16, 225, 88, 76, 73, 3277, 3909, 3023, 526, 724, 2110, 17, 16623, 503, 8871, 10693, 291, 8679, 48907, 18, 332, 1361, 10693, 3909, 291, 1594, 636, 6350, 291, 6485, 18, 225, 409, 331, 15957, 31635, 14384, 7779, 568, 4614, 225, 69, 20338, 291, 49439, 73, 16, 3551, 22465, 16, 326, 4839, 573, 659, 631, 4354, 18, 557, 1408, 286, 9102, 1675, 4839, 16, 225, 88, 76, 73, 17454, 396, 387, 20338, 13, 568, 723, 286, 10613, 290, 307, 11337, 4839, 16, 290, 915, 942, 4354, 326, 5191, 292, 9420, 1040, 602, 18, 203, 203, 3591, 568, 203, 5174, 292, 5684, 3993, 18015, 203, 203, 1987, 203, 203, 3257, 2477, 1563, 8440, 2053, 16, 409, 331, 15957, 31635, 14384, 7779, 203, 203, 29340, 4686, 203, 35365, 13859, 4540, 203, 9327, 4750, 4257, 203, 6004, 717, 203, 15311, 292, 2420, 5071, 396, 14899, 717, 13, 2, 0, 16536, 558, 361, 628, 578, 318, 225, 69, 14933, 1644, 8911, 7440, 16, 225, 69, 1782, 14441, 292, 225, 88, 76, 73, 4908, 31239, 4738, 292, 225, 88, 76, 73, 1150, 1565, 431, 22863, 401, 37316, 39301, 18, 601, 6222, 14297, 6906, 16, 3988, 14275, 16, 6872, 731, 74, 2417, 16, 5348, 5641, 25959, 16, 11759, 556, 78, 11733, 82, 396, 70, 2093, 359, 13805, 7457, 873, 12486, 13076, 23594, 16, 5308, 10498, 1553, 290, 22200, 1330, 10625, 18, 203, 203, 1266, 385, 5782, 431, 16289, 73, 4019, 82, 11733, 290, 3689, 431, 20034, 306, 319, 18, 361, 3145, 16, 423, 225, 69, 28495, 431, 5358, 27784, 3996, 1653, 325, 225, 88, 76, 73, 37316, 39301, 4738, 18, 409, 1452, 3954, 385, 431, 19722, 80, 48655, 395, 4954, 94, 17807, 16, 225, 88, 76, 73, 42018, 431, 5358, 378, 18, 1341, 49858, 290, 225, 88, 76, 73, 953, 4519, 431, 39678, 1232, 14034, 21149, 290, 5541, 6330, 5110, 18, 203, 203, 521, 1782, 385, 225, 69, 1512, 292, 225, 88, 76, 73, 13184, 17, 14950, 24146, 17, 4644, 262, 15482, 290, 44381, 16188, 385, 917, 286, 2592, 16, 517, 650, 9999, 5981, 633, 286, 8989, 16, 6906, 12527, 698, 225, 88, 76, 73, 3525, 2450, 18, 14085, 5583, 423, 3283, 17, 8324, 13499, 286, 3283, 17, 6974, 14933, 290, 225, 88, 76, 73, 1782, 18454, 225, 88, 76, 73, 1737, 2429, 18, 203, 203, 521, 1806, 292, 225, 69, 390, 45750, 484, 290, 43261, 350, 484, 3564, 4650, 34501, 2148, 346, 225, 88, 76, 73, 20624, 17778, 14085, 8384, 18, 332, 7913, 3692, 573, 13776, 225, 88, 76, 73, 1806, 1060, 2411, 37316, 39301, 526, 23846, 27644, 4972, 385, 3118, 286, 29295, 405, 225, 88, 76, 73, 21368, 816, 18, 2060, 4383, 10305, 292, 225, 88, 76, 73, 1782, 318, 279, 14114, 1375, 43891, 3144, 10305, 917, 286, 11394, 19722, 80, 48655, 395, 4954, 94, 17807, 526, 1782, 3954, 18, 203, 203, 521, 1782, 2524, 279, 5029, 4385, 16807, 326, 3829, 2398, 32289, 17, 10782, 2050, 8273, 291, 8587, 326, 39678, 1232, 14034, 21149, 16, 5541, 6330, 5110, 16, 30722, 361, 18, 29335, 290, 6476, 363, 33457, 296, 18, 203, 203, 20078, 203, 829, 279, 23456, 87, 5438, 33513, 16, 2411, 22863, 401, 37316, 39301, 9139, 286, 3349, 225, 88, 76, 73, 37285, 292, 522, 4738, 37053, 361, 628, 578, 18, 1728, 14631, 366, 427, 4184, 225, 88, 76, 73, 1184, 526, 3525, 2449, 359, 21676, 290, 3212, 9096, 18, 37316, 39301, 26281, 346, 225, 69, 36402, 292, 361, 628, 578, 526, 1806, 423, 522, 884, 1229, 472, 5976, 18, 7985, 16, 408, 371, 4974, 286, 452, 17, 2996, 17, 765, 15658, 16, 225, 69, 18851, 3259, 596, 26487, 3540, 225, 69, 1819, 969, 326, 6200, 18, 1236, 9026, 291, 1246, 346, 1900, 18, 6130, 361, 628, 578, 18, 409, 797, 371, 4308, 290, 1651, 698, 225, 69, 1240, 1577, 291, 36707, 573, 15658, 307, 17, 18219, 281, 775, 29517, 323, 16, 589, 13658, 940, 7222, 18, 15658, 16, 339, 8196, 7117, 633, 3900, 292, 1670, 4709, 16, 6180, 6130, 780, 4042, 225, 69, 4035, 3435, 16, 2170, 449, 21850, 291, 12155, 346, 10881, 4409, 526, 1026, 27963, 5068, 22042, 18, 6466, 16, 15658, 3158, 2420, 286, 225, 69, 2448, 16, 361, 13830, 73, 18, 1236, 2415, 13736, 292, 633, 2450, 359, 2974, 290, 4878, 361, 13830, 73, 526, 35819, 286, 633, 42258, 18, 834, 37620, 346, 633, 969, 16, 15658, 4620, 9646, 325, 225, 69, 2168, 346, 10556, 24491, 5878, 16, 517, 522, 2974, 10301, 272, 950, 286, 1651, 286, 5438, 290, 8064, 291, 1690, 1204, 18, 203, 203, 2856, 6130, 14052, 286, 2200, 633, 42767, 6663, 292, 689, 18576, 295, 1868, 4956, 2995, 15658, 20300, 26143, 286, 225, 88, 76, 73, 15057, 292, 30097, 267, 8205, 20570, 73, 40847, 7308, 16, 596, 857, 475, 387, 743, 633, 18, 332, 2328, 28950, 15658, 9139, 13013, 16, 517, 6130, 20666, 272, 18, 1236, 991, 883, 1579, 2039, 292, 7728, 9114, 16, 517, 4619, 661, 14450, 18, 319, 44653, 819, 16, 15658, 290, 6130, 3818, 279, 13319, 291, 6665, 14371, 270, 18, 1238, 16, 544, 8787, 10556, 16, 596, 504, 4415, 423, 5438, 18, 10556, 716, 2985, 292, 39197, 522, 1690, 17257, 290, 11728, 225, 69, 1171, 292, 1621, 18, 1456, 724, 15658, 41916, 10556, 526, 9895, 9139, 286, 6563, 519, 14760, 16, 517, 780, 3579, 782, 590, 18, 1605, 15658, 7465 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 965, 16, 780, 7922, 345, 225, 88, 76, 73, 361, 628, 578, 87, 11, 7177, 20067, 20020, 427, 1303, 785, 286, 40664, 624, 650, 519, 1577, 318, 1353, 527, 326, 4556, 286, 12309, 28380, 18, 2060, 292, 624, 2221, 286, 23008, 15658, 526, 20020, 291, 5697, 326, 5490, 30749, 18, 1236, 23004, 16, 12515, 3043, 286, 2295, 10556, 326, 1621, 18, 1790, 16, 10556, 24740, 458, 504, 786, 1621, 286, 21181, 633, 16, 24735, 277, 345, 458, 318, 770, 225, 69, 1690, 23433, 18, 9514, 16, 15658, 6138, 286, 8205, 20570, 73, 16, 517, 458, 5299, 323, 23004, 286, 723, 18, 13839, 720, 21969, 13181, 326, 670, 780, 504, 4835, 16, 15658, 9630, 698, 225, 88, 76, 73, 4227, 2589, 812, 320, 578, 290, 1643, 31705, 48018, 295, 18, 4536, 6130, 9139, 286, 3450, 633, 16, 15658, 10357, 18, 409, 1782, 857, 7465, 286, 37316, 39301, 290, 225, 88, 76, 73, 33513, 18, 557, 225, 88, 76, 73, 991, 16, 357, 318, 2891, 225, 88, 76, 73, 2411, 526, 4738, 459, 449, 339, 14043, 423, 8491, 18, 203, 203, 14126, 4327, 14297, 6906, 359, 15658, 361, 628, 578, 203, 6872, 731, 74, 2417, 359, 6130, 361, 628, 578, 203, 5348, 5641, 25959, 359, 8205, 20570, 73, 40847, 7308, 203, 3988, 14275, 359, 22863, 401, 37316, 39301, 203, 11759, 556, 78, 11733, 82, 396, 70, 2093, 359, 13805, 7457, 13, 359, 10556, 24491, 5878, 1563, 12486, 13076, 23594, 359, 225, 478, 18, 378, 4448, 293, 203, 5308, 10498, 1553, 359, 411, 76, 73, 420, 2982, 203, 22200, 1330, 10625, 359, 37053, 24491, 5878, 203, 2212, 30640, 359, 11582, 316, 10841, 7382, 203, 9560, 11647, 359, 5126, 25763, 4012, 476, 203, 4426, 1343, 36964, 359, 6952, 432, 505, 203, 20285, 2811, 1553, 359, 40245, 767, 31121, 203, 29508, 454, 26547, 359, 14371, 4318, 203, 23237, 3783, 649, 274, 359, 2167, 5064, 5572, 203, 32705, 22165, 359, 37053, 38281, 9497, 8999, 12920, 203, 3833, 331, 13753, 15319, 359, 37993, 389, 11, 2702, 599, 370, 5199, 1563, 14857, 3469, 903, 359, 13862, 203, 26356, 34839, 359, 27249, 203, 203, 18842, 203, 48, 2571, 16188, 1723, 357, 385, 225, 88, 76, 73, 770, 1782, 780, 3557, 968, 383, 38787, 291, 633, 595, 660, 18, 1236, 1723, 780, 689, 18163, 3000, 13510, 18, 1009, 357, 385, 225, 69, 42104, 262, 7137, 203, 203, 20689, 203, 20427, 423, 12958, 643, 6478, 18, 12605, 1473, 19468, 436, 292, 409, 1063, 2229, 6320, 385, 4794, 3314, 16, 6185, 357, 225, 69, 689, 42113, 746, 27640, 6, 292, 225, 88, 76, 73, 4738, 346, 279, 3542, 292, 225, 88, 76, 73, 20449, 689, 36097, 49266, 290, 11454, 323, 1353, 7948, 291, 225, 88, 76, 73, 4323, 36213, 292, 225, 88, 76, 73, 1806, 573, 225, 69, 27321, 292, 12077, 504, 1421, 1581, 1556, 19468, 436, 7262, 16, 2375, 16, 345, 6906, 385, 689, 69, 1308, 1889, 1598, 326, 5602, 225, 88, 76, 73, 46722, 292, 442, 4908, 294, 558, 1556, 30921, 1740, 225, 88, 76, 73, 1782, 689, 7301, 10971, 286, 2029, 517, 1406, 286, 1156, 18, 601, 318, 225, 69, 1097, 2294, 571, 45451, 2047, 292, 629, 2655, 3907, 7859, 290, 442, 6981, 286, 451, 2394, 12046, 709, 4190, 1490, 675, 225, 88, 76, 73, 3416, 16, 2639, 5610, 7722, 18, 1790, 16, 225, 88, 76, 73, 4017, 2898, 292, 16289, 73, 4019, 82, 11733, 526, 4519, 318, 28036, 290, 5603, 1721, 4650, 1556, 203, 6476, 411, 18, 1773, 73, 292, 409, 4365, 3797, 1740, 357, 225, 69, 689, 6491, 89, 14107, 3921, 2995, 346, 6906, 689, 32531, 225, 69, 7523, 292, 7398, 40234, 1440, 2194, 325, 225, 88, 76, 73, 3025, 290, 225, 69, 2358, 345, 1856, 33216, 87, 654, 292, 633, 3529, 2960, 1556, 30722, 2850, 446, 2049, 292, 225, 88, 76, 73, 5511, 5894, 6320, 3972, 16, 689, 1371, 554, 318, 4323, 346, 225, 88, 76, 73, 3174, 637, 292, 1866, 16536, 558, 361, 628, 578, 11, 458, 388, 780, 459, 942, 2190, 1418, 291, 442, 3921, 952, 291, 2898, 290, 2449, 357, 318, 761, 706, 225, 88, 76, 73, 16412, 3243, 291, 9424, 15452, 1556, 1790, 16, 2850, 446, 2049, 1100, 6906, 286, 339, 689, 5518, 1944, 291, 225, 88, 76, 73, 1604, 292, 633, 6594, 18, 1236, 318, 49018, 325, 479, 9792, 16, 14736, 3778, 383, 1631, 16, 823, 9181, 290, 2240, 336, 277, 291, 633, 43650, 342, 383, 1761, 1556, 16394, 526, 17815, 3179, 225, 69, 5546, 2072, 16, 6185, 225, 88, 76, 73, 4519, 689, 31213, 17, 19254, 6, 290, 225, 88, 76, 73, 1806, 689, 534, 20932, 290, 3174, 17, 32166, 16, 290, 449, 554, 292, 225, 88, 76, 73, 9784, 4190, 8335, 654, 26257, 16, 449, 874, 225, 88, 76, 73, 35770, 526, 2923, 17, 21464, 4252, 16, 225, 69, 6742, 1214, 596, 1590, 15535, 19822, 633, 11017, 636, 1556, 12225, 19303, 322, 1323, 292, 409, 1063, 35356, 1740, 357, 689, 69, 16422, 17, 91, 19359, 14441, 292, 225, 88, 76, 73, 37316, 39301, 4908, 18, 1099, 21771, 431, 4538, 6906, 16, 351, 2019, 18, 361, 628, 578, 882, 339, 351, 2019, 18, 2128, 388, 351, 2019, 18, 5638, 5778, 16, 388, 351, 2019, 18, 34462, 923, 333, 4210, 16, 541, 15217, 562, 290, 1086, 12801, 333, 385, 633, 7398, 1556, 203, 203, 6005, 286, 38787, 5187, 225, 88, 76, 73, 1782, 6228, 1175, 21, 16, 45779, 16, 1318, 291, 225, 88, 76, 73, 1727, 290, 3522, 290, 1175, 6280, 24, 16, 1318, 11595, 7226, 291, 225, 69, 2979, 292, 1175, 29, 1537, 16, 1318, 18, 203, 203, 521, 1782, 318, 6405, 431, 1644, 6741, 4339, 291, 803, 8556, 30, 203, 4589, 30, 332, 15243, 526, 2313, 11068, 292, 6741, 1399, 5796, 696, 428, 23979, 203, 203, 1987, 4327, 47350, 16, 9317, 478, 18, 396, 16324, 859, 225, 28596, 292, 14297, 18, 1063, 2229, 16, 10560, 954, 2850, 8003, 18, 225, 1913, 203, 4019, 82, 11733, 16, 16289, 73, 396, 13981, 859, 314, 9676, 601, 3865, 18, 1063, 2229, 16, 14828, 3395, 1913, 203, 203, 3257, 2477, 4327, 17395, 203, 28633, 3596, 203, 28554, 8911, 7440, 3596, 203, 28554, 3596, 203, 2527, 362, 8127, 291, 3596, 203, 4387, 2532, 17, 387, 17, 13417, 3596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 203, 12158, 1653, 325, 37053, 361, 628, 578, 203, 12158, 5782, 431, 16289, 73, 4019, 82, 11733, 203, 12158, 346, 3025, 29313, 431, 5358, 27784, 3996, 203, 45656, 17, 14950, 24146, 17, 4644, 262, 3596, 203, 12158, 6925, 431, 19722, 80, 48655, 395, 4954, 94, 17807, 203, 12158, 581, 1359, 24263, 203, 12158, 917, 291, 225, 88, 76, 73, 591, 88, 76, 3503, 203, 28633, 7440, 3596, 2, 0, 24819, 19378, 832, 16, 388, 225, 88, 76, 73, 2790, 34541, 35112, 19422, 290, 15969, 274, 47045, 17628, 16, 568, 1712, 286, 709, 11666, 359, 9492, 526, 3569, 16, 385, 279, 8574, 1627, 19344, 22112, 291, 225, 88, 76, 73, 3486, 3470, 2639, 5028, 18, 203, 203, 521, 8574, 703, 33525, 16876, 326, 571, 17, 353, 752, 546, 532, 31412, 1535, 8048, 2021, 819, 11816, 449, 8223, 5475, 526, 5441, 16, 3497, 24346, 388, 16, 691, 25403, 8241, 504, 652, 4001, 16, 279, 5190, 5679, 1201, 2260, 18, 203, 203, 24819, 19378, 832, 385, 13079, 431, 12176, 325, 2636, 832, 16, 3486, 18, 203, 203, 29329, 15450, 225, 203, 521, 6624, 8574, 16, 691, 27849, 359, 225, 69, 19344, 22112, 16, 703, 30, 4327, 26269, 18541, 326, 3009, 5864, 388, 25403, 30013, 18, 203, 35675, 10857, 286, 16784, 315, 4427, 1653, 325, 2017, 290, 20996, 4840, 292, 5475, 526, 21539, 388, 910, 5912, 18, 203, 11275, 405, 7937, 3572, 16, 1315, 4593, 423, 16168, 4160, 44482, 325, 31412, 18, 203, 7037, 1140, 15233, 13287, 1584, 16168, 326, 18283, 18, 203, 48226, 5475, 526, 12258, 286, 16876, 16, 346, 18541, 18, 203, 35675, 21648, 7400, 691, 5475, 526, 12258, 318, 795, 262, 1435, 18, 203, 203, 42, 13747, 15215, 1563, 3308, 290, 5049, 3817, 28704, 18, 10370, 3356, 291, 225, 88, 76, 73, 2080, 292, 1175, 24, 2372, 286, 1175, 25, 2372, 326, 225, 88, 76, 73, 1627, 290, 581, 1175, 22, 2372, 326, 14372, 16, 290, 2778, 554, 17, 2378, 40035, 17, 10273, 11483, 3356, 12208, 286, 8687, 225, 69, 1162, 2372, 6514, 18, 203, 28704, 286, 8501, 3569, 28338, 290, 28203, 18, 10370, 3356, 291, 225, 88, 76, 73, 2080, 292, 1175, 25, 2372, 286, 1175, 26, 2372, 619, 602, 18, 203, 31595, 2619, 36178, 28850, 18, 29127, 16, 2778, 8720, 286, 225, 88, 76, 73, 1627, 291, 1489, 1028, 290, 1502, 5275, 3356, 423, 23112, 291, 21295, 21042, 8418, 290, 6840, 9999, 18, 203, 203, 6645, 32376, 1563, 409, 10185, 292, 9492, 16, 225, 88, 76, 73, 15969, 274, 388, 23779, 5595, 8082, 47045, 3408, 18, 318, 225, 88, 76, 73, 3131, 18801, 7057, 18, 203, 19006, 18, 19832, 36434, 20356, 1323, 203, 203, 3268, 75, 3316, 291, 2507, 292, 22399, 18, 832, 225, 203, 19818, 14433, 345, 427, 652, 959, 291, 2507, 292, 22399, 18, 832, 1706, 30, 4327, 9710, 609, 528, 18, 55, 18, 2198, 427, 644, 15733, 5249, 291, 1128, 326, 359, 941, 359, 2399, 806, 18, 203, 1605, 225, 69, 5475, 3681, 87, 279, 16876, 1342, 225, 88, 76, 73, 2479, 292, 225, 69, 1201, 2260, 388, 24346, 16, 633, 1489, 424, 339, 23102, 691, 1489, 15301, 13012, 819, 225, 88, 76, 73, 16876, 18, 203, 996, 225, 69, 5475, 4515, 10743, 952, 292, 5490, 6991, 388, 3651, 342, 16, 225, 69, 5490, 38979, 783, 339, 6893, 16, 952, 225, 88, 76, 73, 16876, 10693, 783, 449, 1891, 225, 88, 76, 73, 5490, 7284, 18, 203, 203, 4331, 816, 225, 203, 1624, 292, 2427, 3498, 16, 3486, 16, 225, 88, 76, 73, 2701, 4104, 17180, 286, 22399, 18, 832, 371, 30, 4327, 5857, 3694, 1010, 16, 1175, 21, 16, 25, 3021, 16, 25, 4979, 18, 396, 6661, 442, 16, 1175, 21, 18, 4665, 2372, 318, 4842, 359, 225, 69, 4630, 3155, 203, 2882, 24093, 77, 16, 1175, 25, 1878, 16, 1318, 18, 203, 20211, 292, 16772, 16, 1175, 2253, 16, 1318, 18, 203, 4277, 13168, 12936, 5031, 16, 1175, 1791, 16, 1318, 18, 203, 409, 15443, 560, 1064, 7779, 16, 1175, 4884, 16, 1318, 18, 203, 409, 331, 1557, 5595, 7779, 16, 1175, 4884, 16, 1318, 18, 203, 203, 32797, 286, 18801, 290, 2922, 9139, 383, 12571, 225, 203, 521, 9690, 17, 49779, 277, 3054, 286, 11521, 225, 88, 76, 73, 3486, 15969, 274, 47045, 15330, 326, 225, 88, 76, 73, 18801, 385, 6653, 431, 15330, 2255, 3709, 8194, 262, 954, 17202, 16, 3726, 18, 383, 225, 69, 1432, 292, 1175, 22, 16, 5592, 25, 16, 1318, 18, 203, 203, 24819, 19378, 832, 7705, 225, 88, 76, 73, 2630, 595, 345, 3470, 12176, 459, 427, 3285, 225, 88, 76, 73, 2809, 292, 225, 69, 25403, 15733, 19, 9108, 1614, 2223, 326, 16876, 18, 409, 797, 3529, 16, 22199, 16, 9532, 643, 3470, 980, 11599, 12905, 396, 11283, 13, 290, 3470, 980, 11599, 18337, 396, 11831, 859, 203, 203, 1989, 22399, 18337, 2970, 291, 4589, 16, 629, 11666, 2004, 345, 225, 69, 2608, 4369, 703, 15520, 1317, 291, 225, 69, 2639, 5028, 18, 1790, 16, 22399, 12905, 979, 6908, 18, 12154, 12905, 388, 18337, 16, 980, 11599, 832, 2743, 279, 5679, 9703, 292, 225, 88, 76, 73, 5475, 6322, 279, 16876, 286, 339, 17541, 16, 691, 225, 88, 76, 73, 5475, 526, 3029, 371, 27693, 18, 203, 203, 20485, 2659, 42058, 989, 16, 225, 69, 45675, 326, 225, 88, 76, 73, 372, 17, 24, 3224, 928, 345, 225, 88, 76, 73, 2636, 3486, 5028, 7705, 225, 69, 1317, 2516, 326, 25403, 15733, 9043, 952, 30, 4327, 1238, 459, 339, 225, 69, 2930, 23790, 29542, 291, 2636, 3486, 720, 650, 12905, 290, 18337, 643, 11307, 325, 18, 203, 2644, 1293, 13646, 12176, 459, 339, 11530, 286, 1303, 286, 225, 88, 76, 73, 21876, 286, 6158, 291, 2507, 292, 225, 88, 76, 73, 940, 2930, 5437, 980, 11599, 1188, 18, 2776, 383, 225, 88, 76, 73, 21876, 16, 544, 371, 2648, 286, 568, 6158, 291, 2507, 292, 832, 18, 203, 409, 797, 3529, 8529, 7167, 7476, 33877, 291, 2110, 3738, 8529, 18, 203, 203, 7131, 11599, 286, 22399, 18, 832, 225, 203, 521, 14330, 326, 20875, 8737, 318, 225, 88, 76, 73, 3131, 18801, 7057, 1584, 225, 88, 76, 73, 22187, 18, 4327, 1644, 5029, 292, 48793, 16, 3470, 4010, 203, 1644 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3049, 292, 45021, 17732, 1947, 290, 421, 32646, 9972, 16, 4010, 30657, 203, 3470, 5029, 292, 5595, 38022, 203, 3470, 5595, 3308, 3721, 203, 3470, 38540, 3693, 203, 3470, 1925, 21205, 816, 3693, 203, 3470, 18499, 3693, 203, 41250, 49438, 7379, 3932, 775, 292, 3470, 203, 3470, 14520, 203, 35632, 3470, 203, 409, 3783, 3470, 14699, 17782, 203, 203, 3268, 75, 3316, 1584, 22399, 18, 832, 225, 203, 19818, 14433, 345, 427, 652, 959, 1584, 22399, 18, 832, 1706, 30, 4327, 11275, 532, 25403, 15733, 5249, 502, 449, 548, 18, 1911, 1690, 424, 19638, 1201, 4215, 18, 203, 2591, 17618, 424, 985, 499, 286, 519, 3029, 326, 4969, 292, 961, 5981, 286, 2819, 519, 965, 16, 8241, 16, 388, 6908, 18, 203, 22399, 832, 783, 4260, 803, 14276, 286, 7574, 3009, 1028, 16, 2410, 286, 2271, 17, 31000, 44482, 16, 388, 1425, 13013, 18, 203, 409, 2157, 660, 371, 10069, 6840, 45215, 291, 3984, 7569, 779, 25403, 15733, 318, 345, 543, 18118, 4469, 2395, 286, 499, 12149, 290, 427, 24925, 44482, 573, 499, 13649, 18484, 18, 203, 20866, 292, 3029, 961, 17541, 291, 225, 88, 76, 73, 1465, 292, 279, 16876, 318, 3067, 12208, 286, 20448, 14276, 286, 2651, 475, 43940, 566, 18, 203, 738, 22187, 318, 3895, 7681, 17, 31501, 18, 601, 318, 12208, 345, 654, 1690, 703, 19638, 225, 88, 76, 73, 15733, 292, 225, 88, 76, 73, 3223, 526, 3029, 18, 203, 409, 6158, 459, 339, 31138, 359, 1059, 6438, 431, 225, 88, 76, 73, 5313, 16, 15564, 31412, 16, 371, 6708, 286, 6158, 325, 357, 18, 203, 996, 225, 69, 6840, 13372, 225, 88, 76, 73, 1118, 292, 1378, 5679, 16, 633, 3029, 703, 6164, 339, 4001, 286, 7655, 16, 290, 279, 8051, 703, 1748, 574, 18, 203, 203, 26634, 1251, 225, 203, 521, 1911, 325, 832, 3224, 504, 9899, 225, 88, 76, 73, 47306, 9357, 3348, 359, 225, 69, 11342, 18, 203, 203, 4331, 816, 286, 9867, 225, 203, 1624, 292, 2427, 3498, 16, 629, 292, 225, 88, 76, 73, 1174, 17180, 286, 225, 88, 76, 73, 9867, 3224, 643, 30, 4327, 332, 1319, 292, 1046, 41250, 49438, 26840, 16, 1315, 225, 88, 76, 73, 5511, 5894, 16, 1104, 17283, 16, 11861, 16, 26173, 16, 3024, 45415, 16, 3024, 9534, 16, 7365, 13285, 16, 781, 32373, 45873, 290, 37499, 7459, 16, 1175, 24, 16, 5777, 25, 16, 1318, 203, 3470, 18499, 3693, 16, 1175, 25681, 16, 1318, 18, 203, 3470, 5595, 3308, 3721, 16, 1175, 3819, 16, 1318, 18, 203, 5143, 326, 225, 69, 1063, 21051, 16, 1175, 3021, 16, 1318, 18, 203, 33465, 57, 16, 6836, 3470, 16, 1175, 1791, 16, 1318, 18, 203, 33465, 57, 16, 6758, 3470, 16, 1175, 1537, 16, 1318, 18, 203, 13585, 1515, 86, 16, 1175, 4884, 16, 1318, 18, 203, 2212, 3584, 662, 2612, 16, 1175, 4884, 16, 1318, 18, 203, 203, 48, 9171, 1481, 10511, 658, 22399, 18, 832, 3162, 225, 203, 14058, 799, 49438, 7379, 3932, 775, 292, 3470, 290, 1761, 10511, 225, 69, 15764, 346, 225, 88, 76, 73, 21182, 2307, 21410, 4368, 291, 1846, 2429, 286, 9056, 524, 479, 10813, 286, 689, 20145, 6, 290, 689, 20145, 526, 3569, 6, 290, 689, 931, 27317, 3162, 291, 225, 88, 76, 73, 23790, 526, 3796, 6, 326, 980, 11599, 832, 18, 409, 3525, 689, 20145, 526, 3569, 6, 10004, 286, 225, 88, 76, 73, 1715, 292, 1583, 17, 2996, 17, 765, 689, 20145, 6, 596, 3904, 359, 225, 69, 1873, 292, 279, 16876, 291, 7752, 18, 980, 11599, 832, 526, 18801, 3162, 291, 225, 88, 76, 73, 3131, 23790, 526, 3796, 8407, 345, 689, 20145, 6, 1380, 427, 652, 8151, 644, 633, 3029, 1712, 581, 633, 16876, 18, 3052, 40620, 292, 980, 11599, 832, 12924, 345, 689, 20145, 6, 385, 449, 3285, 225, 69, 5475, 291, 4278, 16, 827, 225, 88, 76, 73, 16876, 385, 4604, 16, 290, 345, 780, 1850, 644, 225, 69, 1103, 346, 225, 69, 563, 596, 8021, 286, 339, 633, 2078, 17, 7454, 4252, 18, 996, 442, 318, 225, 88, 76, 73, 1715, 16, 225, 88, 76, 73, 6624, 1690, 16, 980, 11599, 832, 16, 703, 449, 427, 3682, 633, 16, 1364, 357, 5120, 985, 427, 5395, 286, 633, 18, 11531, 325, 442, 20113, 16, 13674, 2745, 345, 225, 88, 76, 73, 10813, 286, 9492, 339, 730, 5672, 18, 203, 203, 48152, 4584, 22847, 292, 225, 88, 76, 73, 21182, 21410, 4368, 7004, 13785, 1584, 225, 88, 76, 73, 13674, 16, 5048, 225, 88, 76, 73, 2536, 6624, 18801, 3162, 290, 14433, 16, 1315, 10813, 286, 9492, 16, 286, 2037, 291, 225, 88, 76, 73, 3131, 3470, 23790, 526, 46436, 18, 203, 203, 12639, 1214, 1216, 225, 203, 521, 7591, 21681, 504, 6653, 290, 2740, 225, 88, 76, 73, 2241, 292, 1560, 1502, 6237, 21876, 325, 980, 11599, 832, 16, 291, 2382, 16, 2429, 16, 2427, 16, 290, 2485, 18, 203, 203, 8323, 4504, 20485, 13735, 16, 3962, 292, 225, 88, 76, 73, 29383, 5439, 16, 928, 458, 8392, 225, 88, 76, 73, 1474, 2693, 318, 2681, 8249, 952, 411, 3451, 3398, 35875, 2507, 357, 290, 371, 3855, 286, 6158, 291, 2930, 17, 711, 17, 42811, 4074, 291, 2636, 18, 203, 203, 3532, 1755, 1879, 47966, 203, 203, 7161, 14751, 9278, 291, 2507, 1563, 3024, 9534, 4970, 26361, 203, 11861, 2307, 8506, 203, 203, 7161, 14751, 9278, 9476, 1563, 5511, 5894, 6320, 203, 3024, 7175, 27547, 203, 203, 15663, 203, 203, 1987, 203, 203, 9758, 2576, 1563, 1542, 10136, 10638, 16, 37637, 949, 225, 88, 76, 73, 8574, 203, 14839, 30, 15416, 17, 349, 34541, 18801, 4369, 1146, 225, 69, 2618, 2251, 203, 203, 3257, 2477, 1563, 3470, 526, 3131, 23790, 3796, 325, 980, 11599, 832, 203, 13975, 292, 8574, 203, 30605, 20317, 3360, 8181, 16, 423, 225, 88, 76, 73, 3470, 8312, 292, 2361, 18, 203, 3470, 24819, 380, 3227, 18, 3735, 22399, 832, 1216, 2111, 203, 3470, 603, 32007, 5184, 3796, 286, 980, 11599, 832, 203, 9187, 603, 32007, 7626, 286, 980, 11599, 832, 203, 14330, 9633, 445, 285, 883, 326, 980, 11599, 832, 16, 15969, 274, 47045, 203, 203, 6645, 32376, 1563, 9492, 526, 3569, 203, 5938, 325, 832, 203, 17028, 11, 7618 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 286, 6419, 3470, 203, 203, 7131, 40620, 1563, 1911, 325, 980, 11599, 832, 203, 203, 24, 203, 3894, 34541, 3188, 445, 4870, 203, 42, 10554, 26660, 286, 225, 88, 76, 73, 14928, 292, 3470, 203, 829, 7989, 3130, 291, 225, 88, 76, 73, 1851, 2198, 203, 11871, 2198, 1627, 16876, 9043, 203, 11854, 291, 3470, 2, 0, 13917, 8927, 12271, 396, 12144, 16, 8927, 12271, 13, 318, 225, 69, 2364, 290, 5457, 292, 225, 88, 76, 73, 12478, 292, 3024, 8927, 12271, 291, 225, 88, 76, 73, 1627, 292, 9719, 15075, 291, 5865, 18, 1099, 292, 2987, 16, 225, 88, 76, 73, 2364, 644, 225, 69, 3650, 292, 15621, 18, 203, 203, 1987, 203, 203, 44015, 7334, 486, 17018, 7334, 486, 3024, 8927, 12271, 16, 9719, 15075, 203, 203, 18844, 3152, 291, 9719, 15075, 2, 0, 38690, 22945, 225, 69, 5413, 30080, 31591, 318, 225, 69, 2532, 17, 387, 17, 13417, 11730, 2498, 325, 2427, 452, 16, 17704, 16, 292, 16479, 6986, 21425, 5673, 325, 225, 69, 5479, 16541, 225, 2304, 225, 88, 76, 73, 2625, 325, 225, 88, 76, 73, 23696, 17, 2166, 464, 76, 3602, 292, 225, 88, 76, 73, 35127, 7713, 291, 14537, 16, 1063, 2229, 2086, 18, 601, 385, 10538, 359, 225, 69, 22378, 31736, 16, 641, 292, 225, 69, 3224, 8902, 225, 88, 76, 73, 36854, 31591, 18, 409, 11730, 385, 724, 3179, 291, 2485, 17704, 1154, 225, 88, 76, 73, 3344, 292, 42881, 2916, 18, 601, 385, 1708, 7808, 431, 2811, 70, 293, 12973, 291, 7601, 18, 203, 203, 521, 3363, 318, 1541, 4384, 34765, 13553, 286, 10071, 378, 622, 31, 225, 88, 76, 73, 5966, 292, 225, 88, 76, 73, 9036, 4819, 8061, 18, 29730, 12560, 16805, 357, 783, 427, 652, 2498, 431, 6130, 331, 18, 430, 8908, 1138, 16, 517, 357, 385, 1708, 1100, 345, 609, 15405, 644, 652, 1552, 383, 225, 88, 76, 73, 3991, 359, 761, 18, 3791, 6000, 427, 652, 959, 4160, 225, 88, 76, 73, 21640, 292, 225, 88, 76, 73, 1673, 291, 225, 88, 76, 73, 3363, 16, 1155, 770, 225, 69, 1162, 427, 652, 2114, 47549, 6884, 18, 4784, 26781, 16, 4651, 292, 225, 88, 76, 73, 6947, 9618, 292, 2811, 70, 293, 16, 7035, 286, 225, 88, 76, 73, 3363, 359, 689, 69, 3142, 292, 1644, 2084, 2656, 409, 2862, 9518, 1782, 5525, 383, 20803, 318, 1653, 325, 225, 88, 76, 73, 11730, 18, 203, 203, 21959, 1563, 203, 521, 11730, 23712, 16479, 1673, 5369, 5489, 1027, 5673, 325, 225, 69, 5479, 16541, 225, 2304, 225, 88, 76, 73, 2625, 325, 225, 88, 76, 73, 23696, 17, 2166, 464, 76, 3602, 292, 225, 88, 76, 73, 1689, 17, 39563, 728, 35127, 7713, 396, 614, 1712, 359, 1872, 42881, 18728, 13, 383, 42881, 2916, 291, 14537, 16, 1063, 2229, 2086, 16, 325, 2427, 452, 16, 17704, 18, 1783, 1673, 643, 22062, 6986, 21425, 9343, 383, 225, 88, 76, 73, 35127, 7713, 1154, 225, 88, 76, 73, 3344, 292, 42881, 2916, 18, 1108, 643, 23210, 286, 5179, 1509, 225, 88, 76, 73, 312, 1521, 366, 18, 409, 11730, 385, 2498, 359, 641, 292, 225, 69, 3224, 8902, 225, 88, 76, 73, 36854, 31591, 18, 4168, 8805, 2498, 29249, 225, 88, 76, 73, 4540, 12742, 225, 69, 2746, 290, 30936, 286, 3400, 325, 225, 88, 76, 73, 30453, 1007, 18, 4795, 2409, 318, 7721, 291, 225, 88, 76, 73, 3942, 18, 203, 203, 521, 11730, 385, 724, 3179, 291, 225, 88, 76, 73, 3990, 8801, 292, 225, 88, 76, 73, 1063, 2229, 22585, 26361, 325, 2485, 384, 16, 17704, 16, 346, 225, 88, 76, 73, 25415, 30, 689, 38690, 332, 2552, 225, 69, 5413, 30080, 31591, 2656, 203, 203, 6355, 1563, 203, 829, 7601, 16, 2811, 70, 293, 12973, 16, 225, 69, 1250, 345, 2418, 36985, 3762, 286, 1968, 15405, 16, 5287, 225, 69, 3208, 292, 658, 16479, 2372, 3762, 1740, 225, 88, 76, 73, 4764, 88, 8627, 19053, 18, 409, 20803, 22945, 225, 69, 5413, 30080, 31591, 11730, 385, 291, 225, 88, 76, 73, 2452, 2019, 30141, 1190, 883, 15679, 16, 225, 69, 641, 292, 225, 88, 76, 73, 4764, 88, 8627, 19053, 3208, 16, 3851, 357, 385, 5651, 11818, 18, 5502, 286, 4784, 26781, 16, 4651, 292, 225, 88, 76, 73, 6947, 9618, 292, 2811, 70, 293, 16, 225, 88, 76, 73, 3363, 385, 7157, 2524, 291, 225, 69, 23533, 2794, 19892, 18, 409, 2536, 5546, 292, 225, 88, 76, 73, 11730, 385, 959, 292, 3706, 16, 573, 644, 6073, 698, 2176, 3927, 18, 601, 318, 8702, 291, 225, 69, 17025, 290, 5140, 17, 24782, 16916, 5209, 383, 225, 88, 76, 73, 11014, 7876, 4476, 5209, 291, 8170, 18, 203, 203, 19986, 2634, 203, 203, 6948, 40730, 225, 203, 521, 5966, 292, 225, 88, 76, 73, 9036, 318, 8061, 18, 601, 385, 1541, 4384, 34765, 13553, 286, 10071, 378, 622, 16, 225, 69, 7237, 14905, 9434, 9036, 16, 423, 225, 88, 76, 73, 21010, 21110, 345, 225, 88, 76, 73, 3834, 318, 225, 88, 76, 73, 8918, 2361, 7713, 18, 557, 6890, 16, 316, 2119, 430, 8908, 1138, 46037, 16, 225, 69, 9596, 292, 34939, 16, 2217, 6422, 16, 6674, 225, 69, 12205, 292, 225, 88, 76, 73, 3363, 290, 41118, 345, 357, 385, 554, 292, 633, 3223, 526, 396, 19785, 331, 18, 430, 8908, 1138, 31, 20567, 1180, 21834, 13, 8805, 18, 557, 5452, 16, 780, 13715, 26781, 18, 2811, 70, 293, 9899, 29960, 4063, 3726, 2562, 225, 69, 2879, 8051, 3709, 16, 286, 942, 225, 88, 76, 73, 9036, 18, 1294, 30264, 5476, 279, 2983, 423, 409, 4365, 3797, 16, 573, 16769, 225, 88, 76, 73, 3363, 286, 11581, 13775, 18, 409, 13775, 1201, 16, 2375, 16, 385, 449, 5375, 346, 225, 88, 76, 73, 11730, 18, 601, 385, 2078, 326, 13775, 286, 2834, 3410, 326, 8805, 2498, 431, 1059, 1376, 326, 950, 31, 46037, 526, 3223, 644, 2406, 326, 225, 88, 76, 73, 11581, 13775, 13490, 11593, 3455, 18, 557, 17704, 16, 430, 8908, 1138, 644, 652, 6568, 225, 88, 76, 73, 20828, 3962, 292, 42881, 2916, 16, 4246, 326, 1502, 2614, 225, 88, 76, 73, 631, 36854, 31591, 18, 46037, 1100, 633, 3223, 526, 33622, 292 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1175, 21, 18, 1791, 619, 3597, 396, 6686, 35264, 286, 1175, 619, 3597, 291, 27731, 225, 88, 76, 73, 6986, 21425, 11730, 16, 290, 279, 3363, 292, 633, 3223, 346, 225, 69, 4543, 16, 573, 4938, 286, 339, 292, 225, 88, 76, 73, 1150, 1128, 290, 595, 18, 30775, 8500, 225, 88, 76, 73, 4840, 16, 26781, 928, 30, 689, 1624, 1856, 359, 314, 2383, 6765, 16, 458, 526, 225, 88, 76, 73, 9036, 1556, 2811, 70, 293, 1708, 16374, 430, 8908, 1138, 526, 8471, 807, 18, 601, 385, 1708, 5476, 345, 15405, 5442, 35575, 16, 5169, 38281, 674, 498, 16, 290, 430, 8908, 1138, 643, 1552, 660, 325, 345, 927, 18, 9528, 286, 225, 88, 76, 73, 9181, 5966, 292, 225, 88, 76, 73, 9036, 16, 225, 88, 76, 73, 3363, 318, 1001, 1342, 3410, 18, 203, 203, 28494, 21425, 225, 203, 6005, 286, 225, 69, 1063, 2229, 3797, 5949, 16, 4129, 6000, 427, 652, 959, 4160, 225, 88, 76, 73, 21640, 292, 225, 88, 76, 73, 1673, 291, 225, 88, 76, 73, 3363, 18, 409, 1782, 5525, 383, 20803, 16, 1653, 325, 225, 88, 76, 73, 11730, 16, 19836, 629, 292, 225, 88, 76, 73, 1673, 286, 339, 292, 1634, 6982, 6489, 16, 290, 225, 88, 76, 73, 3962, 4001, 291, 2855, 345, 458, 5812, 286, 1085, 527, 325, 609, 6000, 423, 11057, 14292, 18, 409, 1782, 26322, 225, 88, 76, 73, 21640, 292, 797, 1673, 30, 7804, 34371, 866, 16, 2630, 423, 225, 88, 76, 73, 1736, 16, 290, 6632, 22515, 16, 2630, 423, 225, 88, 76, 73, 1054, 16, 431, 3254, 17, 43139, 5320, 346, 609, 4322, 2498, 225, 88, 76, 73, 1150, 927, 16, 291, 573, 544, 643, 3249, 383, 225, 88, 76, 73, 595, 18, 409, 724, 563, 423, 225, 88, 76, 73, 1054, 16, 5736, 225, 69, 7627, 16, 504, 652, 6884, 359, 20817, 10600, 22863, 3889, 90, 396, 43, 7991, 13, 7233, 31620, 13195, 18, 409, 11730, 385, 1100, 291, 522, 4463, 16, 346, 225, 88, 76, 73, 3639, 689, 4331, 985, 313, 4874, 16, 551, 11549, 15827, 11420, 4478, 16, 359, 313, 424, 821, 314, 2383, 1146, 346, 7627, 6, 3055, 325, 225, 88, 76, 73, 785, 18, 203, 203, 32014, 1563, 203, 521, 11730, 504, 652, 7035, 286, 359, 225, 88, 76, 73, 689, 1885, 4383, 3921, 292, 225, 69, 5489, 2182, 291, 1063, 2229, 2084, 6, 431, 17879, 6525, 16, 225, 69, 29824, 292, 225, 88, 76, 73, 1063, 2229, 3797, 18, 601, 504, 652, 1013, 16, 1023, 17884, 16, 290, 11417, 291, 798, 23757, 18, 601, 504, 652, 2647, 1159, 290, 225, 69, 225, 16211, 292, 225, 88, 76, 73, 11730, 504, 652, 2267, 431, 36826, 42998, 2829, 16, 573, 385, 8954, 1689, 225, 88, 76, 73, 2107, 10964, 2916, 1637, 819, 225, 88, 76, 73, 2427, 1814, 7509, 326, 581, 2176, 2039, 18, 409, 3363, 504, 652, 225, 69, 910, 13161, 326, 2811, 70, 293, 18, 4536, 12958, 427, 7035, 286, 225, 88, 76, 73, 11730, 359, 225, 69, 22378, 31736, 16, 26781, 7035, 357, 286, 359, 689, 69, 3142, 292, 1644, 2084, 2656, 42002, 1154, 225, 88, 76, 73, 3677, 22292, 16, 225, 88, 76, 73, 11730, 2154, 279, 10696, 28671, 292, 1063, 2229, 2086, 290, 357, 504, 1541, 652, 307, 17, 33068, 431, 3344, 4540, 18, 4903, 2765, 225, 88, 76, 73, 3363, 291, 709, 2489, 1241, 292, 225, 88, 76, 73, 2313, 745, 14224, 3762, 292, 479, 595, 18, 34287, 277, 225, 88, 76, 73, 12375, 292, 225, 88, 76, 73, 3363, 291, 2862, 16, 26781, 928, 30, 203, 1926, 526, 225, 88, 76, 73, 589, 518, 12045, 413, 1133, 225, 88, 76, 73, 2797, 696, 5489, 696, 290, 225, 88, 76, 73, 1128, 696, 11911, 3779, 291, 225, 88, 76, 73, 1593, 696, 290, 345, 803, 5041, 371, 541, 8674, 581, 357, 18, 601, 526, 43828, 30, 314, 2463, 644, 717, 1880, 530, 544, 427, 6726, 1536, 383, 357, 524, 292, 4969, 292, 18230, 18, 1009, 803, 1673, 696, 313, 1156, 313, 623, 225, 69, 823, 1977, 2925, 292, 519, 4190, 754, 519, 17323, 16, 6414, 290, 18625, 18, 203, 203, 3591, 568, 1563, 5174, 292, 8805, 3285, 225, 88, 76, 73, 745, 1263, 203, 203, 37092, 203, 203, 13796, 15506, 1563, 203, 9327, 5178, 4327, 42311, 17395, 1563, 203, 14614, 17, 9327, 5178, 4327, 17395, 203, 31675, 2016, 203, 31675, 291, 953, 203, 31675, 291, 1063, 2229, 2086, 203, 24198, 87, 8805, 203, 24198, 87, 291, 14537, 203, 10363, 17, 387, 17, 13417, 8805, 203, 38690, 203, 6948, 35532, 292, 225, 88, 76, 73, 1851, 2198, 203, 11348, 413, 47006, 203, 54, 432, 41280, 2916, 203, 7800, 17704, 2141, 203, 13796, 292, 8061, 8471, 807, 203, 13796, 5758, 3179, 291, 225, 88, 76, 73, 1063, 2229, 22585, 26361, 2, 0, 21823, 290, 24491, 487, 17, 14486, 318, 225, 69, 11488, 4838, 290, 14774, 1700, 3689, 431, 19412, 6906, 290, 38787, 27858, 19, 28226, 4950, 326, 13184, 17, 14950, 24146, 17, 4644, 262, 18, 601, 385, 5782, 431, 19412, 6906, 290, 26139, 24820, 16, 3055, 431, 6906, 290, 4584, 43862, 16, 290, 12849, 431, 11418, 13045, 16, 3571, 19954, 321, 16, 4784, 11222, 16, 2882, 316, 2014, 1473, 290, 4838, 7791, 18, 203, 203, 20078, 203, 521, 17000, 4918, 346, 4838, 19290, 325, 225, 88, 76, 73, 11056, 292, 6681, 7369, 16, 689, 12803, 6, 8889, 629, 34706, 1249, 225, 69, 44136, 13991, 16, 811, 225, 69, 271, 26116, 10249, 18, 731, 318, 8204, 225, 88, 76, 73, 34221, 689, 30746, 33565, 6, 359, 225, 88, 76, 73, 3525, 2601, 290, 10424, 371, 4350, 18, 1099, 458, 12265, 225, 88, 76, 73, 34706, 16, 458, 7922, 14774, 31831, 225, 69, 1240, 4090, 346, 225, 69, 18836, 290, 18502, 10009, 950, 18, 203, 203, 49467, 325, 225, 69, 46870, 2573, 225, 69, 6665, 42944, 16, 4838, 31628, 629, 5934, 290, 5481, 423, 225, 69, 2603, 13854, 291, 225, 88, 76, 73, 42944, 290, 283, 1494, 624, 479, 658, 14774, 291, 225, 88, 76, 73, 4090, 18, 1099, 458, 5795, 36527, 16, 279, 9350, 3632, 396, 88, 76, 73, 689, 40, 406, 487, 17, 14486, 9530, 19171, 325, 4838 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 526, 5598, 754, 225, 69, 2603, 13854, 16, 2697, 383, 279, 7756, 23374, 262, 290, 6019, 522, 1032, 524, 359, 691, 286, 1335, 16, 689, 49, 622, 1556, 4838, 39815, 3158, 950, 225, 88, 76, 73, 2055, 406, 18, 24491, 487, 17, 14486, 19171, 325, 4838, 526, 5598, 1001, 16, 290, 4838, 857, 7465, 225, 88, 76, 73, 18836, 18, 4838, 857, 12987, 1440, 11392, 325, 225, 88, 76, 73, 46870, 1535, 458, 30188, 24491, 487, 17, 14486, 7981, 225, 88, 76, 73, 5934, 16, 290, 857, 819, 225, 69, 1162, 6042, 4838, 26959, 522, 1174, 18, 203, 203, 13104, 16013, 225, 88, 76, 73, 2913, 526, 11182, 1473, 754, 225, 88, 76, 73, 2603, 13854, 290, 8827, 225, 88, 76, 73, 7756, 2055, 406, 18, 731, 8712, 754, 225, 88, 76, 73, 2913, 16, 290, 857, 8827, 24491, 487, 17, 14486, 2681, 754, 279, 1227, 30536, 16, 12442, 291, 11569, 286, 3544, 18, 4838, 4774, 5179, 785, 290, 7948, 16, 290, 225, 88, 76, 73, 797, 9420, 28156, 1040, 609, 18, 1605, 4838, 21183, 1001, 1023, 23322, 225, 69, 3637, 16, 24491, 487, 17, 14486, 1071, 11231, 1482, 225, 69, 3637, 25128, 1986, 18, 4030, 1066, 1548, 16, 4838, 36415, 225, 88, 76, 73, 1986, 16, 857, 12447, 24491, 487, 17, 14486, 698, 4140, 522, 5465, 30, 14774, 318, 2593, 357, 18, 4838, 9819, 1576, 290, 857, 20840, 325, 18, 203, 203, 13104, 418, 2224, 24491, 487, 17, 14486, 706, 225, 88, 76, 73, 2913, 290, 1509, 225, 69, 15472, 16, 827, 24491, 487, 17, 14486, 318, 5058, 282, 290, 9356, 366, 16, 5736, 524, 14774, 326, 4838, 286, 949, 18, 1099, 4838, 12265, 524, 16, 24491, 487, 17, 14486, 36115, 87, 1227, 225, 69, 15401, 17, 11117, 16, 7485, 4838, 286, 9026, 754, 357, 698, 225, 88, 76, 73, 1257, 18, 4838, 49748, 31852, 527, 225, 88, 76, 73, 18729, 16, 517, 24491, 487, 17, 14486, 11642, 225, 88, 76, 73, 15401, 17, 11117, 16, 26654, 4838, 785, 968, 18, 225, 24491, 487, 17, 14486, 857, 4614, 785, 1509, 225, 88, 76, 73, 15472, 290, 4838, 318, 4350, 286, 339, 1870, 225, 88, 76, 73, 1150, 325, 225, 88, 76, 73, 15472, 12046, 18, 731, 31916, 225, 69, 9761, 2928, 291, 24491, 487, 17, 14486, 526, 15472, 16, 11029, 24491, 487, 17, 14486, 290, 42059, 950, 785, 698, 1378, 46870, 18, 23338, 4172, 14774, 16, 596, 318, 1482, 786, 5430, 286, 9491, 522, 44691, 383, 225, 88, 76, 73, 3343, 16, 4838, 857, 4614, 1509, 225, 88, 76, 73, 15472, 16, 517, 14052, 286, 821, 1378, 46870, 290, 4614, 698, 357, 18, 24491, 487, 17, 14486, 31628, 14774, 290, 12547, 950, 286, 522, 5598, 16, 290, 857, 12547, 4838, 526, 10044, 1511, 1060, 225, 88, 76, 73, 46870, 18, 4838, 13228, 286, 3517, 524, 225, 88, 76, 73, 46870, 290, 2859, 357, 325, 1174, 292, 24491, 487, 17, 14486, 16, 596, 9026, 754, 225, 88, 76, 73, 15472, 290, 6837, 28867, 698, 225, 88, 76, 73, 1257, 359, 4838, 28411, 14774, 18, 203, 203, 13104, 3177, 17554, 225, 69, 2913, 291, 3652, 17, 41548, 345, 318, 581, 286, 339, 5292, 18, 24491, 487, 17, 14486, 26521, 225, 69, 7627, 292, 25857, 6969, 1013, 326, 13430, 383, 522, 11886, 3043, 16, 11029, 950, 291, 225, 88, 76, 73, 1357, 290, 7485, 225, 88, 76, 73, 7627, 286, 1227, 18, 2591, 292, 225, 88, 76, 73, 25857, 32716, 325, 14774, 290, 291, 16752, 417, 775, 950, 18, 409, 797, 9420, 857, 1476, 1721, 6549, 225, 88, 76, 73, 12235, 16, 517, 14774, 318, 39757, 527, 286, 225, 69, 8313, 1170, 325, 225, 88, 76, 73, 22367, 18, 225, 557, 279, 838, 292, 36207, 38858, 4392, 16, 225, 88, 76, 73, 915, 17, 2422, 802, 282, 14774, 27892, 1119, 9420, 286, 3630, 950, 16, 12547, 225, 88, 76, 73, 797, 9420, 11, 8300, 1511, 431, 519, 22763, 366, 290, 1060, 225, 88, 76, 73, 22367, 431, 519, 30479, 18, 14774, 32563, 8204, 689, 30746, 33565, 6, 1912, 1001, 16, 1027, 36207, 323, 289, 295, 27567, 277, 16, 346, 22830, 10161, 1040, 595, 458, 289, 36750, 5217, 16, 290, 3579, 12475, 225, 88, 76, 73, 2824, 689, 11351, 44938, 2656, 203, 203, 39, 1972, 203, 7291, 17, 17970, 954, 16191, 5129, 30, 26139, 24820, 203, 25848, 30, 19412, 6906, 954, 4584, 43862, 203, 33693, 342, 30, 11418, 13045, 16, 3571, 19954, 321, 16, 4784, 11222, 16, 2882, 316, 2014, 1473, 954, 4838, 7791, 203, 15924, 87, 30, 12225, 1466, 29552, 203, 58, 3743, 22068, 30, 5024, 21666, 954, 5169, 36513, 203, 42, 886, 34992, 30, 20618, 11681, 25233, 203, 10601, 31309, 30, 4153, 566, 2962, 1572, 203, 18842, 6086, 30, 15152, 34041, 203, 11780, 30, 23542, 363, 6943, 847, 203, 18842, 19158, 1548, 431, 9655, 34186, 203, 17069, 282, 954, 40609, 431, 19412, 6906, 203, 203, 3257, 2477, 203, 203, 24004, 12849, 3596, 203, 24004, 3596, 203, 24004, 1700, 3596, 203, 24004, 5281, 8308, 3596, 203, 19441, 87, 12849, 1700, 3596, 203, 13104, 290, 14774, 1700, 3596, 203, 16162, 3596, 5782, 431, 19412, 6906, 203, 12158, 5782, 431, 26139, 24820, 203, 12158, 6925, 431, 23542, 363, 6943, 847, 203, 19441, 87, 1644, 12849, 3596, 203, 4387, 5281, 8308, 3596, 203, 45656, 17, 14950, 24146, 17, 4644, 262, 1700, 3596, 203, 45656, 17, 14950, 24146, 17, 4644, 262, 12849, 1700, 3596, 203, 49, 17103, 27858, 19, 28226, 4950, 1700, 3596, 203, 12158, 346, 3025, 29313, 431, 4584, 43862, 203, 19441, 87, 2764, 17, 11345, 3596, 2, 0, 1624, 487, 783, 3188, 286, 30, 203, 4591, 700, 1099, 487, 16, 225, 88, 76, 73, 14660, 717, 291, 11990, 203, 1624, 80, 13098, 16, 225, 69, 12504, 18338, 2123, 1565, 203, 1624, 487, 396, 87, 6634, 558, 13, 203, 1624, 487, 4169, 347, 75, 434, 17, 47, 3893, 396, 3640, 13356, 873, 12504, 29561, 203, 1624, 487, 33030, 2790, 719, 16, 43783, 9093, 2, 0, 10369, 12699, 2268, 396, 2721, 2827, 18317, 696, 848, 2209, 2730, 13, 385, 225, 69, 3194, 21297, 6680, 596, 385, 4246, 326, 225, 69, 1319, 292, 4908, 2551, 34523, 1154, 225, 88, 76, 73, 2223, 423, 7423, 286, 6336, 18, 1728, 5115, 1706, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 88, 76, 73, 2480, 16114, 3538, 16, 225, 88, 76, 73, 2480, 16114, 7410, 16, 225, 88, 76, 73, 12699, 2268, 2399, 16, 225, 88, 76, 73, 12699, 2268, 3843, 225, 290, 225, 88, 76, 73, 12699, 2268, 7410, 18, 409, 2480, 16114, 7410, 318, 522, 745, 3141, 946, 16, 346, 658, 23270, 2387, 18, 203, 203, 1987, 203, 203, 33079, 4686, 203, 9227, 5850, 203, 12808, 21297, 8380, 2, 0, 2300, 611, 6949, 40075, 88, 396, 3640, 2429, 3843, 16, 6336, 13, 318, 279, 1644, 1782, 16, 4239, 16, 290, 3232, 7063, 18, 203, 203, 15731, 1563, 203, 44, 802, 88, 385, 3157, 291, 27408, 16, 8850, 286, 15144, 5062, 13146, 322, 960, 290, 5358, 44807, 40075, 88, 18, 40075, 88, 5801, 18053, 1204, 383, 13166, 5029, 291, 12722, 1077, 16, 9318, 18, 557, 522, 5012, 602, 16, 952, 357, 385, 14381, 286, 6973, 16, 40075, 88, 1837, 522, 724, 10322, 1284, 18, 225, 1979, 13633, 16, 458, 4415, 965, 16, 827, 458, 5801, 225, 88, 76, 73, 1495, 292, 8850, 16, 42000, 291, 932, 18, 203, 203, 829, 5755, 16, 40075, 88, 1736, 3559, 286, 2621, 10322, 383, 225, 88, 76, 73, 5138, 5029, 292, 47919, 2398, 291, 3023, 16, 3994, 18, 225, 731, 385, 43827, 431, 9180, 486, 2345, 28936, 16, 290, 4938, 291, 797, 17123, 261, 5066, 16, 2938, 2212, 16, 290, 1558, 526, 3865, 345, 6575, 87, 3865, 18, 225, 1979, 522, 2003, 16, 731, 3230, 286, 5511, 5894, 290, 7051, 811, 3561, 9580, 3949, 18, 203, 203, 44, 802, 88, 724, 2406, 359, 279, 2709, 325, 225, 88, 76, 73, 3282, 2719, 1644, 22582, 16, 290, 14858, 396, 57, 18, 55, 18, 3282, 1909, 859, 225, 731, 568, 795, 17, 8593, 790, 325, 225, 88, 76, 73, 3282, 2719, 16, 4790, 19341, 30, 14390, 16, 290, 428, 2394, 23, 12242, 18, 225, 2776, 21416, 277, 326, 225, 69, 3757, 3803, 3648, 16, 458, 385, 2745, 286, 987, 326, 1378, 641, 16, 290, 1100, 3544, 2561, 225, 88, 76, 73, 3198, 292, 3988, 421, 3869, 263, 291, 225, 88, 76, 73, 3757, 3803, 959, 326, 3282, 3648, 16, 1838, 314, 979, 1078, 5004, 18, 225, 40075, 88, 385, 291, 225, 88, 76, 73, 4885, 1782, 16, 32270, 13683, 16, 7895, 35062, 9992, 818, 18, 203, 203, 44, 802, 88, 504, 568, 4938, 291, 4129, 1700, 290, 2443, 3596, 16, 1315, 689, 8391, 292, 225, 88, 76, 73, 38051, 2670, 689, 2856, 5087, 2670, 290, 689, 521, 13880, 33461, 2670, 573, 504, 1825, 7231, 290, 2818, 6924, 18, 225, 20957, 423, 20486, 548, 16, 557, 4589, 16, 40075, 88, 4938, 325, 225, 88, 76, 73, 2220, 984, 16, 20866, 27736, 16, 827, 458, 290, 522, 25187, 1825, 225, 88, 76, 73, 4174, 819, 5369, 658, 554, 4110, 1766, 4958, 42104, 38736, 290, 461, 2615, 272, 16, 290, 27301, 797, 5790, 284, 380, 325, 225, 69, 5511, 5894, 3593, 2414, 18, 203, 203, 30366, 1563, 364, 2031, 396, 8766, 13, 774, 7612, 18, 1233, 4091, 16, 1773, 17, 38729, 203, 1838, 314, 8968, 326, 5004, 396, 11283, 13, 774, 14992, 70, 40670, 203, 20866, 27736, 396, 11831, 13, 774, 21000, 438, 19, 44, 355, 1269, 203, 1900, 18, 23939, 520, 396, 11831, 13, 774, 39604, 203, 428, 2394, 23, 12242, 396, 11831, 13, 774, 13272, 284, 41572, 1970, 21, 203, 4790, 19341, 30, 14390, 396, 11831, 13, 774, 4790, 46499, 17691, 203, 21247, 292, 225, 88, 76, 73, 10189, 396, 11831, 13, 774, 13862, 203, 409, 39050, 1258, 396, 12353, 13, 774, 2812, 341, 203, 32270, 13683, 396, 12353, 13, 774, 10611, 8988, 768, 6790, 203, 14858, 396, 57, 18, 55, 18, 3282, 1909, 13, 396, 12891, 13, 774, 24165, 1900, 3655, 203, 1644, 22582, 396, 12891, 13, 774, 49098, 9803, 203, 1644, 1129, 2461, 93, 396, 9578, 13, 774, 13080, 203, 409, 37453, 1258, 396, 9578, 13, 774, 20287, 6215, 203, 203, 1987, 1563, 20866, 27736, 4931, 19, 7301, 1196, 203, 203, 3257, 2477, 9664, 8850, 10061, 4790, 12574, 203, 1838, 314, 8968, 326, 5004, 2072, 203, 332, 46424, 8738, 6763, 526, 10421, 4385, 203, 18793, 40075, 88, 11301, 9599, 203, 203, 15929, 4686, 203, 4387, 4062, 7907, 203, 6004, 717, 203, 11244, 292, 8850, 7692, 2, 0, 521, 20843, 3568, 11984, 3010, 396, 12144, 1712, 359, 225, 88, 76, 73, 6116, 49953, 3536, 22254, 2307, 388, 4795, 13886, 3536, 13, 318, 279, 6947, 2677, 2945, 1577, 290, 40137, 4570, 3042, 1848, 383, 2272, 17, 2419, 20843, 3568, 291, 22254, 16, 21172, 4404, 18, 20941, 291, 1946, 4665, 16, 225, 88, 76, 73, 3834, 318, 4842, 325, 225, 88, 76, 73, 2090, 8506, 292, 9715, 11585, 18, 203, 203, 6355, 225, 203, 521, 2945, 1577, 385, 2387, 291, 1946, 4665, 290, 3220, 359, 225, 69, 8715, 1128, 326, 225, 88, 76, 73, 6116, 49953, 3536, 16, 5758, 225, 69, 26887, 472, 17487, 18, 2952, 1946, 5592, 286, 1946, 10526, 16, 41677, 640, 3790, 16, 225, 69, 761, 17, 4873, 8953, 596, 1708, 2154, 4115, 292, 19628, 1495, 16, 6225, 10184, 225, 88, 76, 73, 3042, 290, 5044, 291, 225, 88, 76, 73, 41677, 640, 3790, 3010, 1808, 225, 88, 76, 73, 4725, 18, 4150, 225, 88, 76, 73, 1644, 26740, 2446, 16, 3194, 5508, 12038, 225, 88, 76, 73, 2945, 1577, 290, 8953, 526, 1577, 326, 787, 359, 225, 69, 41769, 290, 4959, 423, 46750, 286, 1946, 8950, 18, 1979, 225, 88, 76, 73, 2391, 16, 225, 69, 7057, 292, 6116, 3536, 1592, 16, 1315, 5169, 8917, 1663, 16, 6949, 2209, 438, 16, 5358, 17432, 290, 5169, 4118, 636, 3972, 286, 2212, 12762, 291, 2214, 20511, 345, 458, 1976, 40137, 34560, 660, 326, 5275, 291, 22482, 225, 88, 76, 73, 3042, 1966, 286, 225, 88, 76, 73, 3194, 7733, 526, 3878, 286, 225, 88, 76, 73, 1848, 18, 12762, 11324, 345, 458, 703, 339, 6708, 286, 723, 952, 292, 7639, 291, 3690, 18285, 5098, 21217, 1614, 326, 5006, 18, 16410, 292, 225, 88, 76, 73, 10393, 16, 225, 88, 76, 73, 1848, 385, 16097, 18548, 291, 1946, 10721, 18, 203, 203, 521, 17487, 1708, 1736, 225, 88, 76, 73, 1848, 290, 16675, 346, 22254, 526, 3440, 49953, 3536, 286, 1620 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1851, 49953, 3536, 286, 573, 225, 88, 76, 73, 1848, 385, 3168, 291, 38751, 18, 557, 34596, 225, 88, 76, 73, 4795, 13886, 4668, 16, 573, 8267, 706, 423, 225, 88, 76, 73, 6116, 13886, 3536, 291, 22254, 16, 5996, 290, 16097, 11198, 225, 88, 76, 73, 1848, 18, 409, 4795, 13886, 3536, 1708, 31089, 346, 225, 88, 76, 73, 6116, 13886, 3536, 290, 857, 291, 225, 88, 76, 73, 10679, 87, 31089, 346, 225, 88, 76, 73, 3440, 13886, 3536, 291, 22254, 286, 1139, 225, 88, 76, 73, 1851, 13886, 3536, 18, 409, 3042, 526, 2536, 11446, 296, 22612, 968, 291, 225, 88, 76, 73, 15894, 22331, 18, 203, 203, 829, 8587, 640, 18, 7804, 526, 3536, 292, 22254, 5996, 225, 88, 76, 73, 2945, 1577, 290, 2314, 19809, 225, 88, 76, 73, 3834, 18, 225, 409, 20843, 3568, 11984, 3010, 385, 2657, 286, 225, 88, 76, 73, 2090, 8506, 292, 9715, 11585, 291, 11262, 18, 14913, 225, 88, 76, 73, 6336, 87, 225, 88, 76, 73, 3834, 385, 11033, 698, 31033, 87, 18, 203, 203, 19818, 379, 26165, 880, 375, 225, 203, 16177, 26356, 16, 16635, 203, 23152, 2209, 438, 16, 528, 18, 55, 18, 4010, 14140, 203, 16177, 8917, 1663, 16, 1151, 262, 292, 29938, 292, 19001, 203, 203, 19315, 203, 203, 3591, 568, 1563, 203, 11871, 49953, 3536, 396, 20404, 13, 203, 9937, 8506, 292, 9715, 11585, 15547, 291, 22254, 2307, 16, 21172, 4404, 203, 203, 1987, 1563, 203, 44311, 3500, 291, 1946, 4665, 203, 44311, 325, 225, 88, 76, 73, 2090, 8506, 292, 9715, 11585, 291, 21172, 4404, 203, 11871, 3536, 292, 1895, 10012, 291, 21172, 4404, 203, 44311, 291, 22254, 16, 21172, 4404, 203, 9937, 8506, 292, 9715, 11585, 291, 22254, 16, 21172, 4404, 203, 1758, 88, 76, 17, 4577, 10012, 291, 225, 88, 76, 73, 1851, 2198, 203, 34193, 4521, 12330, 5119, 291, 21172, 4404, 2, 0, 2282, 17, 54, 501, 333, 392, 1495, 3049, 318, 225, 69, 2879, 5267, 9080, 291, 2930, 2528, 292, 1502, 1418, 3178, 325, 2636, 3275, 16, 8973, 18, 601, 385, 5141, 431, 409, 22989, 4668, 326, 36021, 9448, 18, 409, 4607, 548, 2621, 1698, 291, 8973, 19, 18313, 290, 318, 3285, 554, 292, 225, 88, 76, 73, 9379, 2879, 5267, 12049, 291, 9662, 18, 409, 3559, 6924, 15730, 526, 6919, 291, 1952, 6398, 15551, 290, 318, 3508, 286, 225, 88, 76, 73, 5249, 16, 7384, 16, 6918, 290, 7384, 292, 225, 88, 76, 73, 7738, 292, 16173, 4582, 290, 18924, 4666, 754, 2152, 6398, 290, 5650, 15348, 325, 709, 1952, 2580, 18, 42798, 431, 225, 88, 76, 73, 3559, 6405, 431, 345, 9462, 18, 203, 203, 2282, 17, 54, 501, 333, 392, 1495, 2750, 2626, 22616, 3009, 16, 5813, 290, 6398, 10901, 18, 409, 11247, 292, 225, 88, 76, 73, 2621, 291, 1040, 3232, 318, 1560, 806, 18, 409, 2863, 318, 6081, 225, 69, 15730, 526, 3658, 291, 5813, 290, 4038, 291, 522, 33162, 16, 6337, 326, 225, 88, 76, 73, 3625, 292, 27111, 290, 23941, 18, 409, 5267, 1056, 291, 225, 88, 76, 73, 3559, 318, 279, 4230, 1056, 12537, 292, 797, 44845, 6337, 326, 225, 88, 76, 73, 17273, 4932, 16, 573, 3228, 225, 88, 76, 73, 12376, 1056, 18, 409, 16956, 8740, 286, 225, 88, 76, 73, 2863, 371, 6339, 431, 225, 88, 76, 73, 7738, 292, 16173, 4582, 290, 18924, 4666, 290, 609, 5107, 25595, 326, 225, 88, 76, 73, 6864, 292, 13707, 290, 4206, 18, 409, 5400, 504, 225, 69, 1319, 292, 1046, 35862, 16, 1315, 1519, 3009, 22242, 16, 2399, 5813, 290, 6398, 25201, 16, 359, 761, 359, 4099, 17801, 290, 3303, 19674, 291, 1378, 1848, 18, 409, 3559, 568, 504, 8668, 16, 5068, 290, 9417, 2580, 359, 761, 359, 4230, 6398, 12196, 290, 17965, 359, 761, 359, 3304, 2580, 18, 203, 203, 21536, 29564, 1563, 203, 21536, 915, 504, 1220, 4700, 16, 225, 88, 76, 73, 1179, 1848, 2558, 291, 22972, 8427, 2030, 35327, 30164, 16, 573, 4730, 225, 88, 76, 73, 1466, 555, 807, 292, 225, 88, 76, 73, 3049, 290, 629, 5813, 290, 6398, 10901, 955, 359, 8310, 5813, 290, 3361, 2216, 5813, 16, 225, 88, 76, 73, 1361, 1848, 2558, 291, 6946, 17, 9636, 535, 8427, 2030, 35327, 4521, 573, 4730, 609, 5813, 290, 6398, 10901, 955, 359, 11399, 290, 1593, 13144, 5813, 16, 290, 225, 88, 76, 73, 1848, 292, 225, 88, 76, 73, 7129, 4959, 291, 225, 88, 76, 73, 26176, 8427, 2030, 35327, 1913, 203, 203, 17872, 32557, 1563, 203, 521, 3049, 2626, 2621, 291, 30, 4327, 11806, 290, 12565, 203, 11806, 7436, 203, 8087, 7436, 203, 45829, 7436, 203, 3569, 203, 12792, 1253, 203, 3729, 4343, 203, 11806, 4860, 203, 9434, 203, 21548, 203, 41371, 342, 290, 3062, 33149, 18, 203, 23941, 203, 27111, 1913, 203, 203, 21536, 3721, 1563, 203, 521, 3049, 3721, 396, 88, 76, 73, 4021, 6398, 290, 9168, 7704, 291, 225, 88, 76, 73, 3049, 13, 318, 5401, 3060, 286, 225, 88, 76, 73, 22989, 26207, 290, 29416, 3569, 18, 601, 3226, 292, 225, 88, 76, 73, 29175, 292, 225, 88, 76, 73, 3559, 16, 225, 88, 76, 73, 1592, 292, 225, 88, 76, 73, 7780, 292, 6398, 10901, 16, 225, 88, 76, 73, 29175, 526, 7964, 290, 225, 69, 8886, 292, 225, 88, 76, 73, 7738, 292, 16173, 4582, 290, 18924, 4666, 596, 8056, 225, 88, 76, 73, 3572, 292, 225, 88, 76, 73, 3559, 2260, 290, 554, 292, 225, 88, 76, 73, 9545, 4672, 5904, 431, 225, 88, 76, 73, 3721, 409, 3049, 318, 326, 225, 69, 2223, 292, 797, 806, 290, 318, 14549, 1912, 290, 554, 8886, 423, 225, 88, 76, 73, 9080, 292, 225, 88, 76, 73, 5400, 596, 8056, 225, 88, 76, 73, 3572, 292, 225, 88, 76, 73, 6752, 18, 409, 3049, 3721, 783, 22906, 16, 650, 3046, 16, 286, 3818, 709, 5241, 16, 225, 88, 76, 73, 6237, 292, 573, 318, 286, 787, 709, 34616, 290, 5108, 290, 504, 786, 1054, 286, 6158, 18, 203, 521, 3049, 3721, 4936, 17987, 225, 88, 76, 73, 7239, 292, 225, 88, 76, 73, 3049, 526, 6398, 290, 5650, 3488, 290, 4936, 18911, 225, 88, 76, 73, 9764, 290, 18723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 292, 225, 88, 76, 73, 5267, 8591, 290, 225, 88, 76, 73, 30344, 292, 16956, 290, 6919, 3060, 286, 225, 88, 76, 73, 5249, 290, 7384, 291, 4260, 18, 601, 459, 11217, 225, 88, 76, 73, 6398, 1734, 290, 1369, 709, 3572, 290, 225, 88, 76, 73, 787, 292, 43502, 423, 2593, 290, 2573, 225, 88, 76, 73, 1868, 203, 203, 3591, 568, 1563, 5174, 292, 9512, 291, 9662, 203, 203, 1987, 203, 203, 3257, 2477, 203, 7738, 292, 16173, 4582, 290, 18924, 4666, 1241, 292, 2879, 9512, 203, 995, 19657, 333, 392, 1495, 3049, 203, 203, 54, 501, 333, 392, 203, 13480, 291, 35327, 203, 27379, 6297, 3178, 291, 8973, 203, 18988, 9011, 291, 9662, 2, 0, 521, 3703, 1542, 3703, 5288, 318, 279, 4230, 6079, 6822, 2404, 291, 2779, 291, 14165, 14537, 291, 1063, 2229, 2086, 18, 409, 6822, 8382, 1766, 953, 290, 14735, 291, 1502, 5614, 290, 291, 6511, 346, 6297, 291, 14165, 14537, 18, 601, 318, 4650, 431, 225, 88, 76, 73, 14165, 14537, 14141, 3721, 18, 203, 203, 521, 6822, 2626, 4770, 16, 4352, 290, 2358, 953, 16, 9417, 16, 1782, 16, 1452, 16, 8681, 16, 290, 609, 2141, 345, 371, 1324, 290, 1227, 286, 225, 88, 76, 73, 1502, 18, 203, 203, 6355, 225, 203, 521, 3703, 1542, 3703, 369, 2188, 385, 5141, 291, 5725, 431, 1644, 10438, 16, 409, 3807, 11378, 292, 1063, 2229, 290, 1063, 7185, 16, 225, 88, 76, 73, 11366, 326, 18167, 1063, 2229, 16, 4950, 7364, 3676, 16, 22269, 2409, 2086, 11378, 16, 14165, 14537, 14141, 3721, 16, 290, 2027, 3568, 1776, 46470, 18, 601, 385, 2267, 359, 279, 3605, 286, 50177, 225, 88, 76, 73, 14165, 14537, 1504, 819, 225, 88, 76, 73, 2427, 1814, 7509, 431, 8902, 5068, 3754, 290, 1482, 14165, 14537, 279, 1263, 1185, 292, 1063, 2229, 2086, 526, 2084, 16, 953, 16, 290, 19467, 18, 203, 203, 521, 14165, 14537, 14141, 3721, 2154, 225, 88, 76, 73, 1083, 24600, 290, 7203, 292, 225, 88, 76, 73, 6822, 291, 3008, 18, 203, 203, 1987, 1563, 203, 26479, 12378, 291, 225, 88, 76, 73, 1851, 2198, 203, 29794, 8435, 3178, 291, 5725, 203, 29794, 8435, 291, 1063, 2229, 2086, 203, 13452, 9011, 291, 1063, 2229, 2086, 2, 0, 50, 1971, 356, 555, 5593, 225, 318, 279, 995, 14530, 416, 666, 3162, 12989, 11353, 291, 745, 292, 670, 318, 1660, 21172, 4404, 431, 225, 88, 76, 73, 29190, 356, 555, 5593, 717, 18, 601, 385, 6733, 3305, 286, 225, 88, 76, 73, 609, 995, 14530, 416, 666, 7442, 292, 7445, 1063, 3994, 664, 5142, 8752, 5593, 290, 22526, 73, 880, 17, 4381, 42834, 18, 409, 12944, 2621, 292, 225, 88, 76, 73, 3162, 291, 2764, 385, 431, 13769, 6642, 16, 7754, 292, 225, 88, 76, 73, 21172, 4404, 18663, 16, 291, 522, 1184, 332, 6662, 20288, 225, 88, 76, 73, 11910, 292, 3146, 396, 2455, 7298, 859, 203, 203, 13870, 203, 521, 1816, 29190, 356, 555, 5593, 1817, 16, 8068, 16, 689, 12, 5013, 13, 292, 225, 88, 76, 73, 8938, 8246, 1556, 409, 689, 6262, 6, 783, 339, 2558, 325, 225, 88, 76, 73, 13722, 25372, 291, 4365, 2307, 18, 396, 9083, 13722, 25372, 4468, 24803, 4010, 859, 203, 203, 6355, 203, 203, 48259, 225, 88, 76, 73, 16522, 7792, 225, 88, 76, 73, 29190, 356, 555, 5593, 3162, 16, 225, 69, 2260, 292, 225, 88, 76, 73, 995, 14530, 416, 666, 3162, 1201, 18, 409, 3162, 2154, 2340, 6233, 26631, 1154, 225, 88, 76, 73, 10227, 292, 3690, 46050, 291, 1063, 3994, 754, 5068, 29757, 9246, 18, 203, 203, 521, 16522, 504, 10963, 3162, 22152, 4320, 16, 1653, 325, 1846, 17, 825, 88, 76, 17, 4577, 2929, 290, 25804, 16, 290, 631, 3958, 3064, 18, 409, 29190, 356, 555, 5593, 7792, 225, 69, 689, 61, 17, 72, 463, 488, 2995, 2608, 1796, 286, 225, 88, 76, 73, 689, 50, 17, 72, 463, 1125, 6, 292, 225, 88, 76, 73, 5142, 8752, 5593, 290, 374, 753, 4717, 356, 286, 339, 26219, 5860, 878, 18, 225, 4168, 577, 17, 72, 463, 1125, 1706, 225, 88, 76, 73, 9007, 4991, 320, 1070, 290, 2590, 42834, 7442, 11353, 17276, 431, 18364, 325, 5656, 4404, 290, 291, 12837, 16, 9450, 18, 203, 203, 829, 225, 88, 76, 73, 1946, 88, 76, 3503, 16, 13769, 6642, 16, 225, 69, 795, 17, 14806, 292, 21172, 4404, 16, 4148, 225, 88, 76, 73, 16522, 526, 3162, 18, 731, 15244, 357, 291, 522, 1958, 7298, 548, 16, 332, 6662, 20288, 225, 88, 76, 73, 11910, 292, 3146, 18, 225, 6642, 3269, 225, 88, 76, 73, 16522, 526, 1565, 359, 16093, 76, 337, 880, 73, 1306, 18, 203, 203, 4387, 2764, 504, 18464, 225, 69, 1319, 292, 4630, 2824, 423, 29190, 356, 555, 5593, 290, 609, 6733, 3305, 7442, 16, 955, 359, 374, 753, 4717, 356, 290, 5142, 8752, 5593, 18, 225, 9146, 2824, 1706, 608, 1021, 533, 16, 45450, 16, 18030, 83, 618, 16, 5363, 38252, 16, 23291, 16, 290, 20300, 329, 1082, 18, 203, 203, 27961, 22152, 4320, 225, 203, 6005, 286, 1900, 18, 5308, 16873, 46848, 453, 11, 23390, 16, 596, 504, 5633, 225, 88, 76, 73, 3162, 326, 225, 88, 76, 73, 12596, 333, 26037, 3550, 3721, 16, 689, 50, 1971, 356, 555, 5593, 385, 8982, 2453, 1063, 3994, 1556, 731, 3984, 345, 689, 42238, 3188, 286, 5142, 8752, 5593, 290, 29190, 356, 555, 5593, 359, 37632, 292, 225, 88, 76, 73, 1150, 3162, 2670, 290, 504, 2267, 225, 69, 21378, 292, 225, 88, 76, 73, 4507, 1133, 225, 88, 76, 73, 7442, 359, 4184, 291, 519, 3481, 9548, 359, 761, 359, 24042, 3156, 18, 332, 3814, 2111, 9430, 689, 17923, 1867, 29190, 356, 555, 5593, 11910, 6, 504, 2758, 21620, 290, 18723, 292, 225, 88, 76, 73, 3162, 18, 203, 203, 4591, 88, 76, 3645, 203, 37, 16, 755, 16, 430, 16, 378, 16, 314, 16, 556, 16, 351, 16, 428, 16, 363, 16, 1383, 16, 319, 16, 781, 16, 316, 16, 4518, 16, 528, 16, 374, 16, 577, 4327, 225, 69, 774, 1858, 69, 65, 203, 4761, 101, 774, 1858, 12765, 65, 203, 418, 774, 1858, 88, 142, 99, 139, 230, 19, 88 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 142, 99, 139, 230, 141, 110, 65, 203, 310, 774, 1858, 41056, 65, 203, 289, 774, 1858, 76, 65, 203, 265, 774, 1858, 138, 108, 65, 203, 490, 774, 1858, 79, 19, 79, 141, 110, 65, 203, 288, 774, 1858, 81, 65, 203, 309, 774, 1858, 82, 65, 203, 283, 774, 1858, 84, 19, 84, 141, 110, 65, 203, 608, 774, 1858, 79, 139, 120, 19, 79, 141, 110, 139, 120, 65, 203, 266, 774, 1858, 87, 65, 203, 400, 774, 1858, 139, 230, 65, 203, 225, 88, 774, 1858, 88, 19, 88, 141, 110, 65, 203, 1197, 774, 1858, 88, 139, 115, 19, 88, 141, 110, 139, 115, 65, 203, 8977, 774, 1858, 89, 65, 203, 268, 774, 1858, 91, 65, 203, 305, 774, 1858, 78, 65, 203, 203, 4134, 263, 1253, 203, 203, 3591, 568, 203, 50, 1971, 356, 555, 5593, 717, 203, 31472, 995, 14530, 416, 666, 7442, 203, 521, 29190, 356, 555, 5593, 19618, 203, 203, 9824, 203, 203, 1987, 4327, 19076, 77, 82, 16, 4426, 5485, 18, 332, 14615, 2015, 263, 1253, 292, 29190, 356, 555, 5593, 18, 26059, 16, 21172, 4404, 30, 5635, 1495, 18, 396, 3627, 29786, 2015, 18, 40, 18, 26271, 16547, 16, 10547, 859, 203, 19076, 77, 82, 16, 4426, 5485, 18, 13769, 6642, 30, 6480, 7673, 18, 3211, 6697, 292, 1644, 37267, 3786, 2103, 18, 8821, 16, 12357, 18, 3059, 4299, 26, 1180, 4219, 27, 16, 10547, 18, 203, 19076, 77, 82, 16, 4426, 5485, 18, 689, 5099, 325, 29190, 356, 555, 5593, 556, 2385, 1306, 416, 387, 1556, 3211, 225, 6697, 292, 1644, 37267, 3786, 12405, 396, 22157, 4922, 3275, 29, 17, 3475, 18, 203, 19076, 77, 82, 16, 4426, 5485, 18, 396, 22157, 859, 332, 17501, 17, 2282, 14530, 416, 666, 26134, 18, 17044, 3037, 2090, 36786, 292, 3522, 18, 203, 19076, 77, 82, 16, 4426, 5485, 18, 29190, 356, 555, 5593, 6022, 18299, 18, 12357, 18, 3059, 27929, 1180, 38328, 291, 25728, 292, 225, 88, 76, 73, 1148, 88, 76, 995, 14530, 416, 666, 6654, 16, 10858, 16, 5169, 11427, 261, 16, 1084, 2562, 17044, 30, 1697, 13858, 1495, 18, 203, 19076, 77, 82, 16, 4426, 5485, 18, 2570, 303, 12575, 5124, 6756, 843, 334, 38821, 38653, 438, 1600, 6756, 6839, 356, 555, 5593, 18, 12357, 18, 3059, 44240, 1180, 40742, 291, 3408, 272, 6756, 1188, 73, 4952, 86, 27519, 697, 995, 14530, 23505, 472, 272, 16, 10687, 16, 5169, 11427, 261, 16, 1084, 2562, 17044, 30, 1697, 13858, 1495, 18, 203, 1291, 356, 9788, 16, 30781, 478, 18, 396, 16117, 859, 11621, 4433, 292, 6758, 1063, 3994, 16, 19192, 17, 2455, 1791, 18, 16381, 16, 10792, 30, 1495, 292, 11391, 5362, 18, 203, 1291, 356, 9788, 16, 30781, 478, 18, 396, 10427, 13, 11621, 4433, 292, 6758, 1063, 3994, 1958, 1791, 1180, 2419, 4946, 18, 16381, 16, 1495, 292, 11391, 5362, 18, 203, 361, 7833, 1473, 16, 5485, 18, 396, 30504, 859, 616, 44637, 361, 7833, 1473, 352, 87, 25331, 73, 45820, 292, 225, 88, 76, 73, 16093, 76, 36824, 311, 11509, 3996, 18, 24590, 292, 225, 88, 76, 73, 21172, 4404, 14615, 4668, 16, 1188, 12, 22, 4922, 11330, 34094, 10266, 18, 26059, 16, 34070, 18, 1563, 2781, 343, 387, 16, 10556, 18, 225, 396, 4644, 685, 16, 2451, 859, 616, 25206, 637, 12310, 1076, 16, 33982, 12310, 1608, 11269, 5367, 46413, 396, 43322, 9245, 343, 387, 18, 1633, 13, 203, 11427, 261, 16, 5169, 18, 689, 9813, 8875, 526, 26668, 16606, 292, 29190, 356, 555, 5593, 1556, 557, 25728, 292, 225, 88, 76, 73, 30567, 18868, 995, 14530, 416, 666, 6654, 18, 17044, 30, 1697, 13858, 1495, 16, 10201, 18, 203, 11427, 261, 16, 5169, 18, 689, 5472, 5331, 69, 16, 5331, 79, 290, 5331, 88, 291, 29190, 356, 555, 5593, 1556, 3211, 6697, 292, 1644, 37267, 3786, 5742, 396, 23342, 4922, 3436, 17, 5234, 18, 203, 11427, 261, 16, 5169, 18, 29190, 356, 555, 5593, 37029, 11068, 1979, 18, 3211, 6697, 292, 1644, 37267, 3786, 10502, 396, 22711, 13, 396, 21, 4922, 27, 17, 2721, 18, 203, 421, 1538, 21070, 16, 8677, 319, 18, 616, 50, 1971, 356, 555, 5593, 26668, 16606, 1351, 2847, 291, 29268, 3291, 3211, 6697, 292, 1644, 37267, 3786, 10502, 12, 21, 4922, 2116, 16, 396, 22711, 859, 6171, 24074, 454, 16, 314, 1276, 1913, 1109, 31472, 995, 14530, 416, 666, 7442, 1076, 557, 12369, 43833, 396, 282, 16792, 27182, 292, 2217, 1644, 15673, 16, 2103, 18, 1583, 396, 12175, 5752, 873, 396, 21834, 873, 4472, 17, 7147, 18, 6171, 24074, 454, 16, 314, 1276, 396, 36658, 13304, 16, 7196, 859, 27182, 292, 2217, 1644, 15673, 16, 4855, 18, 1946, 12, 48, 6808, 859, 4365, 16, 8133, 30, 35398, 25897, 18, 6171, 14753, 16, 19920, 18, 616, 37, 322, 1030, 291, 11512, 30, 1043, 4823, 1614, 13769, 6642, 526, 332, 6662, 698, 225, 88, 76, 73, 11910, 292, 3146, 1076, 3725, 6214, 19, 26923, 292, 225, 88, 76, 73, 10060, 11910, 3693, 292, 3146, 41295, 396, 8876, 4922, 10528, 774, 19546, 18, 203, 378, 8942, 893, 16, 13475, 363, 18, 332, 3584, 1813, 3034, 11044, 292, 29190, 356, 555, 5593, 3550, 5927, 967, 291, 13769, 6642, 352, 332, 6662, 698, 225, 88, 76, 73, 11910, 292, 3146, 18, 26059, 16, 34070, 30, 5635, 1495, 396, 3627, 29786, 351, 18, 37, 18, 47262, 16, 12902, 859, 203, 30020, 16, 9314, 363, 18, 689, 2091, 21506, 274, 1574, 291, 29190, 356, 555, 5593, 1556, 3211, 6697, 292, 1644, 37267, 3786, 7629, 396, 17518, 4922, 15292, 17, 29, 18, 203, 556, 8467, 11867, 88, 16, 12016, 18786, 396, 46653, 859, 17531, 641, 292, 13769, 6642, 1957, 286, 225, 88, 76, 73, 3550, 3162, 3037, 10538, 21620, 1300, 423, 4855, 18, 377, 16, 292, 225, 88, 76, 73, 21172, 4404, 14615, 4668, 18, 203, 3523, 28440, 287, 694, 16, 21179, 374, 2562, 1084, 18, 396, 18988, 859, 409, 38349, 566, 292, 13769, 6642, 18, 384, 2103, 87, 18, 26059, 16, 21172, 4404, 30, 5635, 1495, 5362, 18, 203, 10071, 16, 16144, 396, 44661, 859, 616, 521, 6766, 292, 225, 88, 76, 73, 29190, 356, 555, 8726, 3291, 39471, 292, 225, 88, 76, 73, 30284, 4668, 292, 40231 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 413, 18, 4855, 18, 23548, 45, 18, 203, 351, 1385, 296, 16, 35754, 18, 689, 9758, 29730, 34473, 225, 88, 76, 73, 29868, 9816, 21506, 274, 291, 29190, 356, 555, 5593, 1556, 3211, 6697, 292, 1644, 37267, 3786, 12405, 396, 22157, 4922, 17141, 17, 3819, 18, 203, 521, 29190, 356, 555, 5593, 19618, 18, 225, 41508, 29112, 5488, 325, 225, 88, 76, 73, 29190, 356, 555, 5593, 11910, 18, 203, 6, 46932, 5458, 291, 29190, 356, 555, 5593, 20716, 574, 1556, 409, 29190, 356, 555, 5593, 19618, 377, 396, 7077, 16875, 4922, 2116, 17, 25, 18, 203, 6, 46932, 1911, 18, 7870, 291, 29190, 356, 555, 5593, 20716, 574, 1556, 409, 29190, 356, 555, 5593, 19618, 377, 396, 7322, 16875, 4922, 1136, 18, 203, 6, 521, 29190, 356, 555, 5593, 20716, 574, 17, 33838, 832, 1076, 409, 29190, 356, 555, 5593, 19618, 377, 396, 7552, 16875, 4922, 16927, 17, 29, 18, 203, 6, 521, 29190, 356, 555, 5593, 20716, 574, 17, 33838, 848, 1556, 409, 29190, 356, 555, 5593, 19618, 377, 396, 7800, 16875, 4922, 36000, 17, 24, 18, 203, 6, 50, 1971, 356, 555, 5593, 33838, 1911, 18, 1025, 1556, 409, 29190, 356, 555, 5593, 19618, 377, 396, 7751, 16875, 4922, 39990, 17, 29, 18, 203, 6, 50, 1971, 356, 555, 5593, 20716, 574, 17, 24340, 1148, 290, 1188, 1556, 409, 29190, 356, 555, 5593, 19618, 377, 396, 8324, 16875, 4922, 39734, 17, 27, 18, 203, 6, 50, 1971, 356, 555, 5593, 20716, 574, 17, 33838, 1260, 1556, 409, 29190, 356, 555, 5593, 19618, 377, 396, 7675, 15810, 4922, 48796, 18, 203, 6, 50, 1971, 356, 555, 5593, 20716, 574, 17, 33838, 1136, 1556, 409, 29190, 356, 555, 5593, 19618, 377, 396, 8079, 15810, 4922, 3275, 22, 18, 203, 6, 50, 1971, 356, 555, 5593, 20716, 574, 17, 33838, 1814, 1556, 409, 29190, 356, 555, 5593, 19618, 377, 396, 6974, 15810, 4922, 2399, 29, 17, 3456, 18, 203, 6, 50, 1971, 356, 555, 5593, 20716, 574, 17, 33838, 1519, 1556, 409, 29190, 356, 555, 5593, 19618, 377, 396, 7065, 15810, 4922, 3436, 27, 18, 203, 6, 50, 1971, 356, 555, 5593, 20716, 574, 17, 33838, 2272, 1556, 409, 29190, 356, 555, 5593, 19618, 384, 396, 4644, 15810, 4922, 848, 18, 203, 6, 50, 1971, 356, 555, 5593, 20716, 574, 17, 33838, 2116, 1556, 409, 29190, 356, 555, 5593, 19618, 384, 396, 7077, 15810, 4922, 3843, 18, 203, 6, 50, 1971, 356, 555, 5593, 13843, 1556, 409, 29190, 356, 555, 5593, 19618, 384, 396, 7751, 15810, 4922, 1025, 18, 6171, 34956, 438, 1306, 311, 2590, 42834, 4666, 6437, 16, 2590, 42834, 290, 28043, 31117, 16, 332, 361, 14787, 203, 2610, 649, 7414, 290, 16596, 13322, 396, 9578, 859, 3550, 30230, 26134, 326, 428, 21987, 488, 30, 332, 11044, 292, 332, 6662, 698, 225, 88, 76, 73, 11910, 292, 3146, 431, 13769, 6642, 16, 1958, 7298, 18, 225, 22254, 16, 34070, 30, 12596, 333, 26037, 3550, 3721, 18, 1913, 203, 453, 11, 23390, 16, 5308, 16873, 46848, 396, 12353, 859, 361, 14787, 326, 7625, 292, 225, 1644, 15673, 225, 291, 290, 14913, 21172, 4404, 3037, 1958, 88, 76, 696, 2967, 334, 1645, 5038, 18, 1563, 28907, 16, 32495, 319, 18, 225, 396, 40323, 859, 10439, 292, 225, 88, 76, 73, 30873, 292, 21172, 4404, 30, 21643, 225, 88, 76, 73, 3550, 27823, 292, 35286, 225, 290, 225, 88, 76, 73, 35286, 292, 3677, 9752, 291, 3550, 5695, 346, 14167, 15950, 49275, 1345, 3455, 18, 557, 409, 13869, 292, 21172, 4404, 359, 1108, 23288, 26571, 286, 331, 5590, 773, 24685, 290, 1680, 267, 367, 26729, 89, 1605, 13769, 6642, 38731, 18, 26059, 16, 21172, 4404, 30, 32495, 319, 18, 28907, 18, 203, 27086, 16, 5169, 319, 18, 396, 21834, 859, 616, 50, 1971, 356, 555, 5593, 1076, 557, 12369, 43833, 396, 282, 16792, 27182, 292, 2217, 1644, 15673, 16, 4855, 18, 1583, 396, 12175, 5752, 859, 4365, 16, 8133, 30, 35398, 25897, 16, 12357, 18, 4921, 17, 5764, 18, 203, 16596, 8840, 290, 5606, 11641, 8311, 292, 225, 88, 76, 73, 4128, 36580, 267, 893, 18, 10654, 521, 38966, 1021, 337, 880, 7796, 15673, 2656, 27499, 300, 1562, 10687, 16, 12357, 18, 3059, 21, 1180, 2419, 18, 203, 6642, 16, 13769, 396, 2455, 7298, 859, 332, 6662, 698, 225, 88, 76, 73, 11910, 292, 3146, 30, 16, 388, 16, 279, 8961, 286, 225, 88, 76, 73, 11910, 292, 225, 88, 76, 73, 428, 3130, 291, 345, 2555, 292, 3146, 1740, 1063, 17, 33258, 18, 10717, 16, 346, 25331, 73, 12686, 9670, 292, 225, 88, 76, 73, 8782, 272, 16, 1524, 1703, 290, 374, 816, 3207, 16, 2674, 18, 292, 225, 88, 76, 73, 332, 826, 40758, 428, 3130, 16, 291, 11232, 290, 2446, 264, 16, 291, 4277, 290, 11089, 18, 1507, 479, 573, 371, 2657, 8497, 89, 446, 12686, 9670, 16, 4138, 290, 2555, 13720, 431, 225, 88, 76, 73, 7037, 292, 6715, 73, 290, 5510, 787, 396, 31401, 479, 9792, 13, 286, 479, 225, 88, 76, 73, 2764, 557, 5305, 1614, 1059, 2994, 31, 2162, 10140, 290, 13259, 286, 225, 88, 76, 73, 1629, 292, 479, 1673, 18, 3023, 30, 21024, 39704, 18, 1858, 2159, 4815, 282, 16, 26059, 30, 29190, 356, 555, 5593, 3586, 16, 29878, 16, 478, 18, 378, 18, 1129, 2394, 993, 1858, 7161, 20294, 954, 24018, 11504, 396, 264, 41527, 5500, 3341, 9405, 16, 309, 72, 3155, 10418, 203, 374, 19520, 1969, 2615, 16447, 16, 26547, 411, 18, 521, 9273, 326, 279, 3006, 9816, 1946, 5210, 29190, 356, 555, 5593, 11910, 43837, 6067, 18, 3211, 6697, 292, 1644, 37267, 3786, 8984, 12, 22, 4922, 2905, 28, 17, 42869, 396, 14646, 859, 203, 203, 3257, 2477, 203, 29190, 356, 555, 5593, 11910, 1216, 203, 29190, 700, 555, 5593, 26134, 9664, 2682, 396, 349, 8949, 13, 24405, 225, 202, 4569, 2710, 3169, 291, 290, 581, 225, 88, 76, 73, 29190, 356, 555, 5593, 3162, 203, 4945, 18, 5308, 16873, 46848, 453, 11, 23390, 16, 12596, 333, 26037, 3550, 3721, 18, 1063, 3994, 995, 14530, 416, 666, 11910, 25773, 18, 24628, 2451, 17, 6163, 17, 3732, 203, 203, 50, 1971, 356, 555, 5593, 16522, 203, 31472, 995, 14530, 416, 666, 7442, 203, 5236, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 7442, 292, 9318, 203, 18356, 5076, 7442, 292, 2217, 3146, 203, 5236, 9744, 7442, 292, 225, 88, 76, 73, 2217, 1644, 10054, 45815, 203, 48, 6808, 26631, 291, 225, 88, 76, 73, 1946, 88, 76, 3503, 2, 0, 34075, 4488, 16, 16486, 22725, 225, 318, 225, 69, 7797, 345, 318, 2558, 4794, 291, 13330, 48044, 4010, 16, 291, 16486, 22725, 16, 3522, 18, 4992, 32623, 7125, 21183, 698, 10236, 292, 9798, 21622, 18, 409, 7797, 7689, 18311, 292, 225, 88, 76, 73, 940, 4196, 4488, 9913, 569, 335, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 203, 18456, 24934, 292, 9798, 2307, 16, 16486, 22725, 203, 18456, 24934, 292, 13330, 48044, 2307, 16, 16486, 22725, 2, 0, 48, 794, 25372, 783, 3188, 286, 30, 4327, 22133, 25372, 16, 225, 69, 7797, 291, 16486, 22725, 16, 3522, 203, 22133, 25372, 16, 7271, 16, 279, 225, 32506, 1504, 291, 225, 88, 76, 73, 1851, 2198, 203, 22133, 25372, 8427, 16, 279, 32452, 291, 225, 88, 76, 73, 1063, 2229, 2086, 23179, 292, 46945, 4404, 203, 203, 3591, 568, 203, 22133, 52, 649, 16, 1452, 2597, 203, 22133, 4488, 396, 20404, 13, 203, 1890, 1012, 366, 25372, 16, 291, 319, 7138, 308, 16, 9318, 16, 568, 1712, 359, 22133, 25372, 203, 4894, 18129, 426, 396, 8830, 311, 1909, 873, 292, 573, 1579, 1706, 689, 48, 794, 25372, 6, 291, 519, 3525, 2, 0, 10470, 615, 4111, 17, 17577, 5963, 318, 225, 69, 17739, 291, 4574, 8041, 16, 8808, 16, 3522, 18, 4992, 10816, 16, 3060, 286, 225, 88, 76, 73, 2086, 292, 8041, 16, 371, 431, 12682, 38882, 3568, 286, 225, 88, 76, 73, 5898, 16, 10848, 281, 3568, 286, 225, 88, 76, 73, 3620, 16, 33440, 26133, 4085, 286, 225, 88, 76, 73, 5696, 290, 3049, 3568, 286, 225, 88, 76, 73, 3686, 18, 601, 318, 225, 69, 11355, 8758, 17739, 18, 11928, 442, 3131, 17739, 292, 225, 88, 76, 73, 2086, 292, 8041, 371, 797, 43662, 16, 19863, 4111, 290, 6736, 5963, 290, 225, 88, 76, 73, 3513, 12129, 401, 292, 7880, 90, 562, 9062, 18, 203, 203, 6355, 203, 203, 829, 225, 88, 76, 73, 8587, 87, 290, 7423, 87, 16, 225, 88, 76, 73, 8808, 16039, 290, 16516, 8041, 10768, 6624, 2681, 225, 69, 2701, 17, 22751, 3620, 1180, 25805, 5005, 1530, 286, 225, 88, 76, 73, 5898, 292, 12782, 3568, 18, 738, 385, 279, 7898, 292, 11012, 8428, 290, 703, 427, 4561, 423, 225, 69, 6624, 6525, 3675, 45456, 291, 225, 88, 76, 73, 22511, 292, 40346, 290, 24491, 701, 16, 3686, 286, 225, 88, 76, 73, 9378, 9997, 45456, 18, 557, 225, 88, 76, 73, 7423, 87, 16, 9867, 286, 225, 88, 76, 73, 1195, 317, 2192, 16, 6525, 3675, 290, 27227, 5005, 1530, 2547, 3119, 225, 88, 76, 73, 857, 2086, 292, 8041, 286, 27378, 225, 88, 76, 73, 27227, 290, 6525, 3675, 2547, 18, 1979, 225, 88, 76, 73, 18264, 292, 225, 88, 76, 73, 1195, 317, 2192, 45456, 431, 225, 88, 76, 73, 9555, 16, 225, 88, 76, 73, 6525, 3675, 290, 27227, 5005, 1530, 2547, 643, 11138, 359, 761, 18, 8066, 286, 5224, 15582, 16, 14582, 27730, 14331, 5141, 554, 292, 225, 88, 76, 73, 724, 40676, 4824, 6463, 291, 3522, 16, 8440, 1810, 291, 12180, 16, 291, 19863, 4111, 1180, 17577, 5963, 18, 203, 203, 521, 17739, 318, 7021, 6858, 16, 12537, 6069, 292, 6858, 1752, 7399, 1444, 292, 7935, 17, 26049, 11436, 4354, 16, 4794, 2387, 291, 225, 88, 76, 73, 1846, 452, 88, 76, 3503, 18, 203, 203, 521, 1864, 7399, 371, 10848, 281, 3568, 286, 225, 88, 76, 73, 3620, 16, 2681, 5898, 1180, 5448, 16, 225, 69, 1560, 17, 22751, 48683, 2441, 3513, 291, 3263, 18, 10848, 281, 3568, 504, 798, 3513, 2803, 74, 2113, 375, 290, 3251, 18, 1542, 225, 88, 76, 73, 5898, 318, 12682, 38882, 3568, 16, 2681, 3620, 1180, 25805, 16, 1378, 1560, 17, 22751, 48683, 2441, 346, 4794, 26366, 1509, 1119, 5941, 18, 19415, 5898, 17, 5448, 318, 2927, 70, 682, 3568, 16, 225, 69, 1560, 17, 22751, 48683, 2441, 346, 225, 69, 2940, 292, 26366, 290, 3513, 2803, 74, 2113, 375, 290, 6469, 18, 3728, 2681, 5898, 1180, 5448, 318, 3049, 3568, 225, 69, 1560, 17, 22751, 48683, 2441, 346, 225, 69, 10640, 3513, 9425, 3249, 6736, 5963, 16, 554, 292, 225, 88, 76, 73, 2536, 9657, 1300, 5224, 11067, 292, 8041, 18, 1542, 225, 88, 76, 73, 5696, 16, 3620, 1180, 25805, 7399, 1706, 40535, 8415, 8427, 16, 225, 69, 1560, 17, 22751, 48683, 2441, 16, 6069, 6858, 290, 33440, 26133, 4085, 16, 225, 69, 1560, 17, 22751, 2441, 16, 6233, 6858, 18, 203, 203, 26673, 203, 17753, 3650, 396, 8876, 4922, 2272, 16, 28, 4299, 203, 203, 17668, 12980, 13199, 396, 8876, 4922, 203, 17141, 18, 22, 9, 4367, 31, 3143, 18, 25, 9, 2764, 16, 591, 18, 28, 9, 6982, 16, 1124, 18, 23, 9, 9742, 16, 1946, 18, 25, 9, 23849, 16, 1814, 18, 27, 9, 5224, 16, 1136, 18, 23, 9, 3911, 16, 1136, 18, 20, 9, 14271, 203, 384, 18, 24, 9, 3260, 203, 384, 18, 28, 9, 2027, 7024, 203, 377, 18, 27, 9, 8131, 1644, 396, 1586, 654, 3593, 13, 203, 203, 17753, 3650, 396, 9786, 4922, 2272, 16, 27, 6427, 203, 203, 17668, 12980, 13199, 396, 9786, 4922, 203, 17333, 9, 4367, 31, 452, 18, 21, 9, 2764, 16, 1946, 18, 20, 9, 6982, 16, 1583, 18, 24, 9, 9742, 16, 2272, 18, 25, 9, 23849, 16, 2272, 18, 20, 9, 14271, 203, 384, 18, 29, 9, 3260, 203, 384, 18, 26, 9, 2027, 7024, 203, 377, 18, 29, 9, 8131, 1644, 396, 1586, 654, 3593, 13, 203, 203, 17753, 3650, 396, 13398, 4922, 2116, 16, 27, 3475, 203, 203, 17668, 12980, 13199, 396, 13398, 4922, 203, 17333, 18, 21, 9, 4367, 31, 1946, 18, 26, 9, 14271, 16, 1958, 18, 23, 9, 2764, 16, 1958, 18, 22, 9, 23849, 16, 2116, 18, 25, 9, 5224, 16, 1519, 18, 23, 9, 6982, 16, 1814, 18, 26, 9, 9742, 16 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1136, 18, 23, 9, 3911, 203, 384, 18, 28, 9, 3260, 203, 384, 18, 28, 9, 2027, 7024, 203, 377, 18, 27, 9, 8131, 1644, 396, 1586, 654, 3593, 13, 203, 203, 18456, 13539, 203, 203, 19818, 28151, 291, 225, 88, 76, 73, 17739, 1706, 30, 203, 48606, 2426, 526, 396, 27698, 2489, 13, 203, 12682, 38882, 3568, 7603, 203, 2927, 70, 682, 3568, 9104, 203, 203, 24232, 90, 562, 9062, 203, 203, 24232, 90, 562, 9062, 318, 225, 69, 3513, 12129, 401, 325, 2694, 3032, 3568, 16, 573, 318, 554, 3573, 5696, 292, 12682, 38882, 3568, 16, 290, 23706, 225, 88, 76, 73, 797, 5941, 292, 225, 88, 76, 73, 4725, 290, 785, 8167, 1330, 326, 554, 3573, 3686, 292, 10848, 281, 3568, 18, 409, 2218, 1830, 3573, 325, 1040, 1752, 318, 581, 286, 16518, 225, 69, 1864, 9382, 18, 203, 203, 521, 1389, 345, 1767, 527, 7880, 90, 562, 9062, 318, 959, 527, 292, 225, 69, 1909, 292, 2677, 15333, 4354, 325, 2694, 3032, 3568, 573, 18267, 13966, 5890, 7731, 16, 953, 15482, 16, 25287, 16, 49354, 16, 39754, 290, 16838, 18, 12485, 13811, 290, 12812, 16, 225, 88, 76, 73, 2775, 2426, 7880, 90, 562, 292, 48606, 2426, 526, 5287, 527, 225, 88, 76, 73, 5898, 1752, 292, 225, 88, 76, 73, 3573, 16, 3856, 3686, 292, 522, 2803, 16, 346, 225, 88, 76, 73, 8724, 292, 30048, 968, 225, 88, 76, 73, 5631, 290, 1848, 225, 69, 2605, 6218, 1171, 18, 8041, 526, 10321, 2151, 10973, 286, 2809, 225, 69, 1848, 9015, 31, 4477, 16, 7880, 90, 562, 11033, 225, 88, 76, 73, 4700, 698, 953, 15482, 290, 16838, 346, 225, 88, 76, 73, 723, 292, 522, 3564, 16, 10664, 16, 225, 69, 26910, 18, 9365, 16, 458, 5996, 225, 88, 76, 73, 5631, 325, 225, 88, 76, 73, 609, 1752, 292, 225, 88, 76, 73, 4725, 18, 1728, 3198, 5890, 225, 88, 76, 73, 3906, 7880, 90, 562, 7940, 16, 573, 3909, 291, 12812, 359, 554, 292, 7880, 90, 562, 9062, 526, 724, 7731, 290, 573, 3838, 326, 1583, 806, 31, 1509, 346, 3906, 7880, 90, 562, 9405, 573, 3838, 326, 1579, 543, 806, 18, 203, 203, 37, 631, 7904, 2483, 346, 225, 88, 76, 73, 48606, 2426, 526, 2030, 7880, 90, 562, 9062, 980, 3114, 3537, 20609, 433, 1512, 16, 2389, 431, 11592, 10835, 21024, 23237, 24320, 318, 6931, 286, 2315, 3344, 291, 14294, 18, 3275, 4700, 371, 3285, 9253, 290, 459, 339, 15227, 290, 19809, 2593, 18, 409, 4783, 2803, 74, 2113, 375, 459, 4458, 1240, 290, 11417, 18, 409, 9253, 4700, 325, 225, 88, 76, 73, 5898, 1752, 459, 427, 1119, 5885, 290, 1297, 8057, 7431, 4700, 2578, 624, 18, 332, 21625, 12761, 290, 616, 12073, 386, 2426, 352, 87, 33181, 550, 371, 6624, 325, 225, 88, 76, 73, 5898, 1752, 290, 225, 69, 2711, 290, 30884, 459, 339, 2765, 325, 225, 88, 76, 73, 5696, 1752, 18, 48606, 2426, 526, 385, 22180, 291, 2489, 18, 203, 203, 13480, 203, 203, 7377, 870, 2764, 17, 13648, 1502, 3621, 291, 19863, 4111, 1180, 17577, 5963, 371, 8001, 431, 225, 88, 76, 73, 8041, 4010, 1925, 4119, 18, 557, 1408, 286, 225, 88, 76, 73, 8041, 4010, 1925, 4119, 16, 1220, 609, 13067, 11643, 1204, 9278, 6691, 291, 8041, 18, 409, 13067, 11643, 2764, 17, 13648, 5008, 3621, 291, 8041, 371, 8001, 431, 225, 88, 76, 73, 8041, 6402, 4010, 1925, 4119, 18, 2607, 870, 3395, 17, 13648, 1502, 3621, 371, 2758, 431, 1429, 583, 299, 713, 335, 6879, 603, 3430, 14574, 16, 10698, 3395, 17, 13648, 1502, 5008, 1204, 371, 2758, 431, 1429, 583, 299, 713, 335, 6879, 14556, 335, 1600, 2962, 37, 1065, 347, 18, 1790, 16, 225, 88, 76, 73, 7641, 1204, 2928, 1071, 449, 6691, 225, 69, 1204, 291, 225, 88, 76, 73, 17739, 18, 4791, 3621, 291, 225, 88, 76, 73, 1389, 1706, 30, 203, 4795, 13724, 36866, 318, 2558, 325, 16818, 3568, 16, 2387, 291, 18168, 18, 203, 2927, 70, 682, 36866, 4339, 318, 2558, 325, 2927, 70, 682, 3568, 16, 2387, 291, 25049, 18, 1563, 2938, 9317, 4791, 1925, 318, 225, 69, 1502, 10456, 290, 31588, 1204, 325, 411, 4202, 2005, 2435, 3568, 18, 2938, 9317, 2221, 35413, 3395, 290, 3395, 43216, 297, 3064, 345, 318, 770, 1349, 431, 8659, 18, 557, 1374, 286, 339, 8861, 326, 225, 88, 76, 73, 421, 9226, 3850, 16, 1463, 371, 2505, 286, 1290, 279, 7967, 1735, 819, 6445, 685, 18, 2938, 9317, 2221, 225, 69, 2874, 2692, 292, 2709, 1097, 20926, 3064, 16, 1315, 8018, 16, 16893, 4585, 16, 25194, 3586, 16, 24141, 16, 46138, 16, 290, 35429, 4585, 18, 203, 203, 3591, 568, 203, 10470, 615, 4111, 22280, 203, 1266, 274, 1947, 291, 8041, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 10470, 615, 4111, 17, 17577, 5963, 17739, 5437, 203, 203, 37324, 44505, 87, 291, 8041, 2, 0, 60, 2509, 1113, 605, 396, 2905, 2827, 19101, 696, 1136, 2262, 3384, 13, 385, 225, 69, 3612, 2615, 831, 334, 5484, 866, 9399, 2414, 290, 1962, 13291, 290, 3254, 17, 16972, 43587, 18, 203, 203, 2177, 385, 3157, 291, 5198, 29789, 16, 3612, 2615, 46887, 18, 731, 11904, 291, 2414, 20513, 277, 2141, 291, 225, 88, 76, 73, 15810, 5652, 7835, 291, 8769, 290, 3254, 17, 16972, 16685, 383, 225, 88, 76, 73, 13499, 8745, 7835, 291, 640, 18, 3584, 4596, 18, 1113, 605, 318, 225, 88, 76, 73, 770, 3612, 2615, 46887, 13291, 286, 2777, 286, 427, 11904, 291, 1119, 225, 88, 76, 73, 5652, 290, 8745, 9399, 5503, 18, 203, 203, 5371, 605, 385, 225, 69, 11303, 2260, 292, 1119, 225, 88, 76, 73, 2090, 6610, 3693, 290, 225, 88, 76, 73, 724, 3612, 2615, 46887, 2090, 9399, 5143, 396, 50, 6809, 859, 731, 3220, 359, 225, 88, 76, 73, 8312, 292, 225, 88, 76, 73, 2090, 9399, 5143, 3352, 383, 709, 11303, 291, 16875, 18, 731, 1708, 8123, 225, 88, 76, 73, 1868, 526, 428, 6809, 359, 3296, 423, 12812, 1535, 6799, 18, 203, 203, 5371, 605, 3220, 359, 225, 88, 76, 73, 724, 4115, 292, 225, 88, 76, 73, 3612, 2615, 46887, 19302, 11228, 16, 568, 1712, 359, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 88, 76, 73, 225, 203, 12758, 2615, 831, 334, 5484, 866, 13594, 17, 772, 1254, 25320, 902, 1517, 1365, 336, 3376, 16, 225, 69, 3690, 19302, 8082, 11228, 16, 326, 5742, 806, 18, 7961, 16, 1113, 605, 3220, 325, 225, 88, 76, 73, 2928, 292, 10488, 292, 1579, 609, 3612, 2615, 46887, 4057, 1315, 225, 88, 76, 73, 28781, 3586, 16, 225, 88, 76, 73, 47343, 3586, 16, 290, 225, 88, 76, 73, 5198, 29789, 18186, 3586, 18, 203, 203, 2177, 385, 6081, 225, 69, 8541, 32047, 291, 5452, 431, 225, 88, 76, 73, 2151, 292, 3612, 2615, 46887, 326, 7177, 9176, 286, 4624, 18, 203, 203, 5371, 605, 3904, 325, 1136, 2262, 3384, 383, 225, 88, 76, 73, 2184, 292, 17170, 18, 203, 203, 3591, 568, 203, 12758, 2615, 46887, 383, 225, 88, 76, 73, 7835, 203, 203, 1987, 203, 203, 35497, 4686, 203, 10427, 5850, 203, 12758, 2615, 46887, 4062, 470, 7833, 1039, 203, 12758, 2615, 46887, 4062, 3254, 17, 16972, 32482, 203, 17035, 8633, 292, 3612, 2615, 46887, 203, 33780, 396, 9345, 290, 1962, 13, 383, 225, 88, 76, 73, 15810, 5652, 7835, 203, 17035, 3254, 17, 16972, 32482, 292, 3612, 2615, 46887, 203, 21799, 17, 16972, 32482, 383, 225, 88, 76, 73, 13499, 8745, 7835, 2, 0, 19438, 44085, 783, 3188, 286, 30, 4327, 7300, 44085, 16, 377, 334, 15152, 292, 2228, 4594, 329, 396, 21489, 1958, 9940, 873, 12470, 22766, 290, 9742, 12507, 203, 7300, 44085, 396, 9327, 17279, 13, 396, 31394, 1180, 15490, 873, 1043, 1116, 308, 7458, 292, 2764, 17799, 383, 225, 88, 76, 73, 1495, 292, 29200, 290, 374, 3292, 292, 47683, 87, 3049, 16, 1495, 292, 3023, 203, 7300, 44085, 396, 41638, 9270, 472, 13, 396, 49723, 1180, 46036, 873, 5070, 27112, 472, 290, 9696, 203, 7300, 44085, 396, 42004, 4633, 13, 396, 1758, 7122, 1180, 29747, 873, 1063, 5911, 14535, 35534, 290, 9696, 203, 7300, 44085, 396, 9145, 483, 13, 396, 7389, 18, 27453, 87, 873, 48592, 292, 225, 88, 76, 73, 1495, 292, 15989, 203, 7300, 44085, 396, 80, 7866, 472, 13, 396, 3640, 3278, 32498, 1644, 304, 7866, 472, 290, 304, 327, 10151, 203, 7300, 44085, 396, 2142, 13170, 13, 396, 3640, 10547, 873, 8199, 7828, 31759, 203, 203, 3591, 568, 203, 20109, 44085, 396, 28149, 1180, 11831, 873, 12796, 203, 19438, 41425, 74, 12078, 396, 20404, 13, 2, 0, 25881, 1294, 1393, 225, 318, 225, 69, 7797, 292, 577, 1170, 1242, 4010, 16, 291, 16486, 22725, 16, 3522, 18, 601, 318, 383, 279, 17067, 292, 581, 3303, 81, 2304, 4831, 1398, 290, 318, 325, 225, 88, 76, 73, 1294, 1393, 3703, 18, 409, 1240, 1504, 292, 4488, 1294, 1393, 12665, 286, 225, 88, 76, 73, 7797, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 203, 2346, 1393, 2, 0, 521, 377, 334, 10956, 292, 225, 88, 76, 73, 17258, 5349, 20729, 568, 1712, 359, 377, 12255, 10956, 16, 385, 225, 69, 17258, 7733, 23703, 3577, 1154, 2107, 2446, 314, 16, 2107, 2446, 3299, 16, 290, 225, 88, 76, 73, 13786, 2446, 18, 203, 203, 10571, 2446, 3299, 203, 5733, 225, 88, 76, 73, 17258, 14330, 292, 10679, 16, 357, 7157, 2404, 47312, 383, 3612, 43263, 517, 385, 5981, 286, 10691, 431, 225, 88, 76, 73, 3911, 47133, 5280, 6873, 10956, 18, 409, 8976, 292, 5218, 430, 15166, 17, 11525, 3425, 8448, 1509, 225, 88, 76, 73, 10956, 11, 11495, 1695, 18, 3911, 25755, 644, 14489, 225, 88, 76, 73, 659, 286, 10059, 5218, 430, 15166, 17, 11525, 3425, 691, 519, 7733, 385, 286, 2182, 698, 225, 88, 76, 73, 6003, 292, 12952, 18, 601, 2891, 286, 7490, 32814, 5508, 396, 42, 4760, 354, 2567, 78, 6713, 1323, 13, 286, 2171, 2593, 225, 88, 76, 73, 27512, 25785, 1249, 1580, 7936, 18, 7447, 1403, 40357, 290, 46779, 2476, 852, 366, 286, 24840, 225, 88, 76, 73, 47312, 16, 225, 88, 76, 73, 11856, 354, 2567, 78, 6713, 1323, 857, 6291, 225, 88, 76, 73, 27512, 18, 557, 225, 88, 76, 73, 1619, 292, 225, 88, 76, 73, 5269, 16, 3911, 23442, 43046, 225, 88, 76, 73, 21395, 292, 225, 88, 76, 73, 314, 17258, 10956, 11, 1148, 88, 76, 17832, 5669, 291, 2357, 2021, 18, 203, 203, 5956, 17, 7467, 1310, 203, 203, 5733, 225, 88, 76, 73, 13786, 2446, 16, 357, 3220, 7157, 359, 279, 7733, 292, 15234, 291, 4681, 290, 857, 359, 641, 292, 22153, 526, 6836, 5349, 3348, 396, 50, 2662, 7211, 7906, 859, 409, 23703, 11703, 385, 7157, 3178, 383, 577, 21705, 5582, 46429, 16, 46069, 72, 675, 6060, 333, 16, 325, 1583, 2485, 14164, 18, 17691, 4138, 8639, 17, 43985, 28284, 363, 25405, 1837, 5464, 291, 2636, 14164, 18, 10956, 11703, 3230, 286, 378, 3425, 270, 5582, 46429, 16, 32649, 366, 37574, 16, 8235, 39107, 16, 30995, 16, 291, 13499, 18, 203, 203, 5733, 22705, 8976, 5138, 291, 2427, 14732, 16, 225, 88, 76, 73, 10956, 14295, 292, 377, 396, 13730, 13, 17832, 5669, 290, 1958, 396, 13730, 13, 9121, 7413, 5669, 346, 377, 5251, 18157, 290, 11795, 2407, 34690, 18157, 396, 2455, 88, 76, 48866, 5669, 396, 11871, 6248, 18633, 811, 5464, 18, 203, 203, 521, 23703, 11, 2116, 88, 76, 290, 452, 88, 76, 21895, 43031, 643, 5350, 431, 225, 88, 76, 73, 832, 88, 76, 528, 18, 55, 18, 5349, 7591, 26766, 5715, 18575, 18, 225, 409, 36762, 385, 795, 17, 43635, 346, 225, 88, 76, 73, 17258, 43031, 16, 291, 17759, 1808, 225, 88, 76, 73, 4725, 423, 225, 88, 76, 73, 17258, 378, 1242, 362, 334, 556, 5916, 425, 16, 325, 13404, 270, 91, 920, 270, 804, 75, 3012, 24856, 16, 22838, 80, 16, 2699, 4681, 18, 203, 203, 829, 7423, 225, 88, 76, 73, 377, 334, 290, 1958, 88, 76, 15514, 643, 12510, 698, 4364, 1548, 15514, 292, 225, 88, 76, 73, 689, 18456, 1455, 6, 2181, 18, 1666, 602, 16, 377, 334, 5669, 383, 361, 675, 4628, 14295, 292, 377, 334, 17832, 18157, 396, 55, 694, 3978, 873, 1148, 88, 76, 18157, 396, 3541, 498, 873, 290, 1124, 88, 76, 9121, 7413, 18157, 396, 41, 19431, 347, 14337, 873, 290, 1958, 88 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 76, 9121, 7413, 5669, 14295, 292, 1946, 88, 76, 9121, 7413, 18157, 396, 40, 24759, 873, 1958, 88, 76, 17832, 18157, 396, 48, 457, 675, 6060, 333, 13, 290, 832, 88, 76, 17832, 18157, 396, 2628, 386, 859, 203, 203, 829, 12180, 225, 88, 76, 73, 17258, 5349, 526, 3577, 4260, 385, 4364, 1548, 16, 290, 225, 88, 76, 73, 4260, 385, 6277, 286, 797, 3577, 17, 25125, 797, 17, 966, 337, 719, 15514, 396, 77, 82, 9644, 16, 225, 88, 76, 73, 1958, 88, 76, 291, 4681, 346, 225, 88, 76, 73, 832, 88, 76, 16043, 1548, 18157, 383, 1366, 386, 16, 290, 225, 88, 76, 73, 1946, 88, 76, 9121, 7413, 18157, 383, 36188, 3978, 16, 290, 225, 88, 76, 73, 377, 334, 291, 12952, 346, 225, 88, 76, 73, 377, 334, 16043, 1548, 18157, 383, 15157, 75, 38640, 290, 225, 88, 76, 73, 1148, 88, 76, 16043, 1548, 18157, 383, 2209, 73, 16, 291, 225, 88, 76, 73, 39836, 975, 3442, 3155, 557, 9644, 660, 643, 568, 797, 10058, 21018, 2664, 16, 225, 88, 76, 73, 1136, 88, 76, 16043, 1548, 290, 1519, 88, 76, 11844, 1548, 18, 203, 203, 829, 7601, 16, 225, 88, 76, 73, 23703, 16675, 346, 225, 88, 76, 73, 377, 334, 16043, 1548, 5669, 290, 2407, 301, 1322, 13431, 18157, 286, 1620, 225, 88, 76, 73, 689, 7821, 6288, 7044, 2656, 409, 23703, 11, 26804, 385, 19604, 423, 4681, 785, 698, 12952, 291, 7196, 18, 203, 203, 3591, 568, 203, 203, 43744, 14984, 291, 4681, 203, 203, 1987, 203, 203, 9758, 2576, 203, 10369, 421, 18, 30841, 37395, 290, 7102, 501, 351, 3499, 396, 2658, 873, 378, 3840, 454, 5483, 35, 3037, 29227, 5508, 291, 225, 88, 76, 73, 631, 4681, 16, 2699, 1196, 5362, 16, 7884, 16, 1913, 203, 203, 3257, 2477, 203, 32440, 15892, 21519, 18, 48165, 17, 967, 72, 18, 3150, 19, 48165, 17, 967, 72, 19, 3150, 19, 36841, 18, 14903, 81, 203, 203, 49073, 5014, 290, 21373, 292, 12952, 203, 48647, 203, 19207, 5014, 290, 21373, 29606, 291, 7601, 203, 19207, 5014, 290, 21373, 292, 12952, 291, 2107, 2446, 3299, 2, 0, 521, 13445, 292, 34131, 10004, 286, 3596, 3689, 291, 34131, 291, 3620, 17, 11612, 3350, 18, 1783, 3596, 371, 3689, 291, 1952, 6400, 290, 19987, 7442, 1315, 9968, 506, 28099, 11620, 955, 359, 351, 415, 2829, 16, 1104, 45759, 16, 13205, 6347, 2674, 18, 203, 203, 21959, 203, 203, 521, 724, 9968, 506, 28099, 3648, 385, 11408, 86, 2571, 16, 225, 69, 1104, 45759, 1782, 5782, 431, 421, 18, 363, 18, 36686, 290, 2740, 291, 13525, 18, 11838, 14368, 13555, 13114, 487, 16, 3689, 431, 361, 18, 556, 18, 1283, 9071, 16, 385, 2740, 291, 13356, 290, 504, 652, 4184, 359, 225, 88, 76, 73, 724, 2843, 9968, 506, 28099, 3648, 18, 203, 203, 521, 10156, 1782, 351, 35670, 15432, 417, 4118, 82, 2571, 431, 7203, 290, 3962, 478, 267, 2437, 32955, 3022, 1971, 17918, 385, 225, 88, 76, 73, 724, 9004, 49968, 22541, 1782, 291, 9968, 506, 28099, 18, 203, 203, 20560, 9403, 290, 7601, 225, 69, 1319, 292, 9968, 506, 28099, 3596, 643, 3689, 16, 1315, 225, 88, 76, 73, 5281, 15069, 755, 5909, 34128, 2829, 5928, 423, 8973, 16, 573, 385, 4001, 286, 339, 225, 88, 76, 73, 770, 3141, 9968, 506, 28099, 17, 11345, 1782, 2551, 291, 225, 88, 76, 73, 6336, 87, 290, 5969, 87, 18, 203, 203, 5678, 225, 88, 76, 73, 3283, 17, 13981, 87, 16, 225, 88, 76, 73, 1319, 292, 3596, 3689, 291, 34131, 504, 652, 2110, 16, 326, 3872, 1315, 3900, 292, 8605, 290, 4436, 2551, 1604, 18, 1563, 203, 15963, 9991, 291, 9968, 506, 28099, 13445, 1706, 361, 18, 556, 18, 1283, 9071, 16, 7902, 9968, 38966, 4395, 16, 49674, 38966, 4395, 16, 361, 593, 89, 1890, 44297, 16605, 448, 16, 290, 19973, 382, 31554, 72, 76, 578, 16, 290, 10488, 1706, 39914, 274, 13198, 322, 292, 478, 391, 76, 9484, 16, 45593, 13852, 38414, 281, 16, 45593, 7079, 10966, 16, 19973, 285, 13852, 16, 290, 361, 593, 89, 1890, 44297, 16605, 448, 18, 2160, 303, 89, 603, 15319, 7060, 16, 421, 1286, 30817, 319, 18, 781, 306, 31382, 4568, 16, 290, 478, 267, 2437, 32955, 3022, 1971, 17918, 427, 652, 1119, 9991, 290, 10488, 18, 203, 203, 2428, 5422, 225, 88, 76, 73, 2551, 292, 9968, 506, 28099, 6014, 16, 225, 69, 2666, 5176, 326, 40729, 291, 9003, 290, 5394, 346, 10069, 720, 2313, 16, 1318, 14382, 385, 3823, 291, 225, 88, 76, 73, 3486, 3738, 292, 225, 88, 76, 73, 9968, 506, 28099, 5425, 16, 290, 225, 88, 76, 73, 6560, 2666, 385, 21537, 18, 203, 203, 3591, 568, 203, 7521, 292, 9968, 506, 28099, 3162, 3596, 203, 7521, 292, 3596, 4126, 291, 34131, 203, 203, 1987, 203, 203, 3257, 2477, 203, 9968, 506, 28099, 3162, 3596, 383, 5215, 15638, 21958, 17951, 203, 36887, 506, 28099, 3354, 203, 36887, 31443, 2, 0, 8460, 69, 47088, 428, 13850, 5051, 69, 9069, 318, 225, 88, 76, 73, 13613, 2693, 292, 15468, 388, 1911, 15468, 16, 7707, 291, 14271, 431, 319, 20080, 18, 601, 318, 7462, 431, 5086, 90, 989, 27268, 18, 1238, 371, 3538, 3104, 16, 9204, 8422, 423, 395, 8, 1669, 18, 1791, 396, 4221, 8, 20, 18, 2455, 13, 286, 395, 8, 21, 16, 1318, 16, 1318, 396, 4221, 8, 33025, 16, 1318, 859, 1507, 2429, 2399, 16, 2987, 16, 225, 88, 76, 73, 1823, 5408, 4415, 290, 225, 88, 76, 73, 2737, 318, 30171, 2864, 308, 517, 291, 2608, 917, 286, 225, 88, 76, 73, 1367, 2693, 18, 203, 203, 4256, 745, 5455, 292, 13613, 6963, 292, 1727, 1305, 2719, 16, 519, 917, 290, 9094, 371, 225, 69, 3830, 394, 4295, 286, 225, 88, 76, 73, 1644, 25576, 18, 203, 203, 521, 395, 8, 21, 16, 1318, 16, 1318, 3891, 8858, 385, 1825, 431, 225, 69, 563, 3249, 23612, 291, 2355, 3868, 18, 203, 203, 24134, 4654, 225, 203, 11283, 17, 9786, 203, 203, 8145, 1180, 15511, 203, 203, 3257, 2477, 1563, 319, 20080, 5051, 69, 47088, 428, 13850, 5051, 69, 11301, 1622, 203, 203, 43942, 388, 1911, 15468, 203, 11283, 13613, 4239, 1909, 28905 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 203, 8766, 13613, 4239, 1909, 28751, 2, 0, 3111, 2509, 4488, 577, 1170, 1242, 225, 318, 225, 69, 7797, 292, 577, 1170, 1242, 4010, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 49, 8942, 19627, 1080, 18, 19085, 13, 783, 3188, 286, 30, 203, 203, 11463, 292, 3906, 16, 1712, 291, 17695, 359, 225, 88, 76, 73, 3684, 270, 3906, 203, 49, 8942, 16, 6600, 16, 225, 69, 490, 570, 5856, 94, 291, 7445, 6600, 203, 49, 8942, 3906, 1283, 298, 16, 6600, 526, 5864, 3009, 16, 10893, 16, 26626, 290, 3695, 3290, 1310, 203, 26247, 49, 8942, 16, 225, 69, 7184, 7128, 3084, 3577, 1154, 2107, 2446, 314, 203, 6486, 37369, 396, 40123, 873, 225, 69, 2216, 345, 14705, 1845, 1415, 423, 961, 8954, 286, 31210, 717, 203, 49, 9306, 3684, 270, 396, 3640, 8587, 873, 12525, 2411, 203, 10369, 3684, 270, 396, 3640, 11577, 873, 2677, 12525, 9696, 203, 62, 4594, 3684, 270, 396, 3640, 11577, 873, 12525, 20193, 203, 203, 3591, 568, 2, 0, 521, 6575, 292, 20866, 318, 279, 9454, 431, 25416, 389, 4870, 22240, 10434, 30377, 18, 203, 203, 13339, 8483, 203, 6, 521, 6575, 292, 20866, 6, 774, 832, 30, 6937, 203, 6, 37, 1813, 20132, 576, 6, 774, 832, 30, 2721, 203, 6, 28015, 15404, 262, 6, 774, 848, 30, 6788, 203, 6, 55, 5207, 16538, 6, 774, 832, 30, 2173, 203, 6, 27920, 16259, 6, 774, 1148, 30, 5592, 203, 2480, 1438, 225, 88, 76, 73, 7513, 2414, 689, 28015, 15404, 262, 14699, 7387, 2656, 203, 203, 39636, 203, 26809, 431, 10434, 30377, 203, 39988, 431, 4532, 36655, 6607, 203, 1558, 18452, 290, 8566, 431, 10434, 30377, 203, 1558, 16186, 16, 7221, 290, 45919, 431, 4532, 36655, 6607, 203, 12297, 431, 10434, 30377, 954, 21351, 30377, 203, 5432, 282, 431, 6476, 40979, 203, 203, 1987, 203, 203, 24552, 30377, 6847, 203, 12353, 44447, 2, 0, 521, 3486, 12805, 10089, 20458, 3721, 5028, 1837, 1128, 325, 377, 1589, 3486, 286, 18753, 1592, 292, 12805, 10089, 20458, 3721, 291, 42540, 16, 3994, 18, 2060, 2630, 292, 225, 88, 76, 73, 7496, 385, 527, 326, 5028, 290, 225, 88, 76, 73, 19631, 4771, 8669, 291, 3758, 1945, 292, 225, 88, 76, 73, 7496, 18, 203, 203, 2856, 225, 88, 76, 73, 5028, 16, 225, 88, 76, 73, 9203, 292, 225, 88, 76, 73, 7496, 385, 30, 203, 7278, 9466, 2357, 203, 10209, 467, 848, 203, 32554, 377, 203, 203, 15924, 203, 7347, 225, 88, 76, 73, 5028, 225, 88, 76, 73, 39473, 2404, 3275, 8083, 16, 13803, 644, 1025, 290, 660, 385, 377, 4885, 43070, 18, 1136, 8083, 643, 961, 22561, 16, 346, 225, 88, 76, 73, 39473, 16634, 1188, 290, 13803, 384, 18, 10067, 225, 88, 76, 73, 37150, 16634, 8083, 643, 225, 88, 76, 73, 2677, 19631, 7496, 4467, 8525, 8653, 291, 42736, 1607, 10572, 290, 225, 88, 76, 73, 1589, 399, 837, 4210, 453, 775, 291, 5276, 82, 320, 1595, 18, 13803, 703, 427, 2318, 286, 4715, 760, 19631, 5457, 345, 385, 961, 22561, 291, 1374, 286, 1164, 5520, 225, 88, 76, 73, 39473, 292, 225, 69, 4889, 18, 203, 203, 39927, 1873, 203, 521, 2241, 291, 12805, 10089, 643, 554, 292, 225, 88, 76, 73, 724, 1491, 5028, 2241, 286, 339, 9911, 290, 2897, 715, 554, 5457, 1626, 2988, 18, 409, 19631, 2839, 7345, 421, 886, 71, 1595, 10572, 423, 225, 88, 76, 73, 13803, 286, 1914, 2357, 8083, 16, 4809, 286, 848, 326, 13803, 18, 421, 886, 71, 1595, 385, 2498, 431, 19631, 16, 37361, 4648, 387, 1081, 16, 596, 385, 225, 88, 76, 73, 47568, 73, 292, 225, 88, 76, 73, 4467, 292, 225, 88, 76, 73, 7496, 18305, 225, 453, 775, 18, 14469, 29542, 385, 3843, 18, 12388, 8159, 203, 203, 521, 19631, 4467, 292, 225, 88, 76, 73, 7496, 18305, 453, 775, 928, 345, 12176, 643, 689, 29987, 527, 292, 2839, 7676, 290, 427, 11307, 325, 225, 88, 76, 73, 4359, 292, 1382, 2656, 1790, 225, 88, 76, 73, 13803, 8082, 292, 8572, 326, 12805, 10089, 16, 8969, 24916, 928, 345, 717, 644, 2421, 689, 273, 1422, 225, 88, 76, 73, 5425, 225, 69, 20452, 6, 290, 345, 225, 88, 76, 73, 5028, 644, 652, 689, 446, 581, 2763, 2148, 2656, 203, 203, 45306, 2241, 203, 203, 1987, 203, 203, 10592, 203, 10592, 2764, 1491, 8690, 203, 9578, 87, 291, 42540, 2, 0, 52, 455, 1330, 3568, 318, 225, 69, 4725, 291, 225, 88, 76, 73, 2086, 292, 3023, 16, 18674, 1776, 46632, 12215, 291, 225, 88, 76, 73, 5696, 286, 10625, 526, 11682, 291, 225, 88, 76, 73, 5898, 18, 28880, 14823, 21183, 225, 88, 76, 73, 4725, 18, 203, 203, 1989, 225, 88, 76, 73, 3807, 292, 3023, 11378, 7713, 385, 20757, 291, 18672, 16, 1351, 6720, 3568, 385, 6219, 286, 1776, 46632, 12215, 290, 14070, 819, 225, 88, 76, 73, 1623, 284, 472, 14828, 23043, 1330, 16, 596, 5044, 660, 1154, 225, 88, 76, 73, 3677, 5606, 292, 3023, 18, 203, 203, 521, 2875, 23043, 1330, 3568, 318, 965, 286, 9869, 290, 7459, 18, 203, 203, 521, 14262, 3023, 26407, 3505, 318, 12538, 5180, 290, 225, 88, 76, 73, 14262, 20287, 3524, 5682, 11583, 3505, 318, 12538, 25220, 18, 409, 1179, 945, 9412, 32209, 25506, 23106, 3568, 318, 568, 2405, 431, 18, 203, 203, 3591, 568, 203, 5174, 292, 39742, 8268, 291, 3023, 203, 203, 1987, 203, 203, 13588, 1138, 291, 225, 88, 76, 73, 2086, 292, 3023, 2, 0, 3111, 2509, 4488, 13746, 49404, 225, 318, 225, 69, 7797, 292, 13746, 49404, 2307, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 521, 12699, 2268, 2399, 318, 225, 69, 1148, 18, 7122, 17, 27651, 396, 3732, 3059, 1211, 832, 3059, 77, 82, 13, 32308, 14445, 21297, 16, 2389, 291, 10945, 431, 3906, 12699, 2268, 292, 3677, 7996, 359, 279, 9406, 292, 522, 4164, 2480, 16114, 3538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 573, 385, 291, 2410, 279, 9406, 292, 225, 88, 76, 73, 23809, 20654, 16970, 18, 225, 4536, 1119, 225, 88, 76, 73, 20654, 16970, 290, 225, 88, 76, 73, 2480, 16114, 2399, 644, 6502, 7476, 941, 48249, 21753, 87, 16, 12699, 2268, 526, 631, 946, 35103, 225, 69, 9745, 21753, 286, 1422, 543, 1139, 9886, 290, 225, 88, 76, 73, 396, 817, 13, 631, 1068, 373, 303, 1511, 346, 225, 69, 10297, 75, 17, 29314, 27412, 1007, 18, 203, 203, 27674, 1133, 10945, 290, 10584, 16, 225, 88, 76, 73, 12699, 2268, 2399, 385, 6969, 47392, 359, 225, 69, 22367, 4513, 266, 33155, 16, 290, 385, 3884, 346, 225, 88, 76, 73, 2724, 292, 2413, 388, 16704, 1068, 851, 1067, 16, 13015, 38492, 497, 851, 1067, 388, 225, 69, 5399, 7080, 18, 203, 203, 829, 709, 2413, 17, 19971, 10496, 16, 225, 88, 76, 73, 12699, 2268, 2399, 385, 225, 69, 3141, 34346, 17, 15404, 262, 573, 2678, 2154, 2220, 291, 21297, 7126, 2453, 225, 88, 76, 73, 528, 18, 47, 2562, 290, 3500, 225, 11221, 7996, 290, 3826, 17, 31673, 19156, 1079, 18, 203, 203, 521, 12699, 2268, 2399, 318, 7303, 11848, 359, 554, 292, 225, 88, 76, 73, 4908, 2775, 17, 825, 88, 76, 17, 4577, 2551, 34523, 16, 290, 798, 6027, 371, 1146, 3267, 17472, 1310, 1119, 27423, 225, 290, 7766, 18, 203, 203, 41776, 203, 203, 9983, 37, 30, 1148, 18, 7122, 288, 396, 3732, 13521, 832, 291, 13, 203, 48, 45928, 30, 848, 18, 13041, 288, 396, 916, 13521, 384, 291, 13, 203, 3111, 321, 30, 384, 18, 12125, 288, 396, 28, 13521, 1260, 291, 13, 203, 4945, 2393, 396, 19971, 48249, 4922, 377, 18, 7122, 288, 396, 24, 13521, 1188, 291, 13, 203, 4945, 2393, 396, 1485, 10641, 1068, 4922, 377, 18, 2455, 288, 396, 23, 13521, 1136, 291, 13, 203, 4945, 2393, 396, 30393, 497, 48249, 4922, 1669, 18, 4271, 288, 396, 23, 13521, 685, 291, 13, 203, 4945, 2393, 396, 1455, 264, 7080, 4922, 1669, 18, 27, 288, 19, 21, 18, 25, 288, 2682, 203, 9692, 46940, 30, 43791, 17616, 396, 47449, 23161, 13, 203, 28157, 506, 49121, 30, 12969, 9, 203, 203, 1987, 203, 203, 55, 10484, 34523, 203, 17518, 87, 7083, 16970, 2181, 5115, 2, 0, 47713, 5635, 4488, 318, 225, 69, 7797, 292, 13746, 49404, 2307, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 47713, 5635, 4488, 318, 291, 225, 88, 76, 73, 1357, 35616, 292, 225, 88, 76, 73, 2699, 16200, 292, 640, 18, 4210, 526, 3703, 18, 203, 521, 7797, 7689, 715, 3620, 292, 225, 88, 76, 73, 13237, 3703, 16, 225, 69, 33527, 292, 225, 88, 76, 73, 640, 18, 4210, 526, 18, 203, 22550, 3522, 7679, 1257, 1604, 1415, 291, 225, 88, 76, 73, 7797, 291, 7248, 18, 203, 26051, 10644, 643, 44145, 5909, 5644, 384, 3059, 13298, 19, 48, 12804, 6015, 23, 16, 21815, 1025, 18, 4457, 16, 2914, 22954, 1669, 18, 32909, 3059, 13298, 19, 48, 290, 2914, 41224, 1669, 18, 564, 5932, 3059, 13298, 19, 48, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 203, 16741, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 34471, 33461, 9069, 318, 225, 69, 9463, 24191, 7440, 1782, 5782, 431, 11798, 13308, 80, 486, 2215, 48608, 18, 601, 385, 6291, 698, 225, 88, 76, 73, 9463, 33020, 6741, 5288, 18, 203, 203, 14126, 203, 1233, 16421, 7060, 8699, 2186, 359, 24632, 203, 411, 947, 10939, 6115, 13308, 69, 203, 23043, 73, 17556, 5738, 359, 781, 687, 1484, 203, 603, 5065, 15261, 17297, 14003, 359, 13115, 203, 361, 28881, 24897, 2822, 359, 9499, 343, 457, 203, 10245, 47755, 1104, 43056, 203, 331, 3453, 411, 2005, 25950, 359, 11659, 2571, 203, 25789, 14502, 13225, 46066, 50127, 203, 22530, 35549, 13746, 36516, 359, 3649, 3662, 203, 3671, 1343, 44999, 5064, 203, 331, 32255, 24102, 2571, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 19554, 3596, 203, 19554, 7440, 3596, 203, 12158, 5782, 431, 11798, 13308, 80, 486, 2215, 48608, 203, 41522, 7440, 3596, 203, 15929, 87, 5706, 17, 11345, 3596, 203, 15929, 87, 24191, 3596, 2, 0, 56, 1237, 1077, 7701, 9210, 366, 9715, 4010, 225, 23706, 225, 88, 76, 73, 1179, 4227, 3313, 292, 316, 1237, 1077, 16, 21172, 4404, 18, 409, 4521, 15362, 1509, 6150, 4085, 3620, 290, 3686, 423, 709, 21714, 346, 3551, 4085, 290, 14343, 14486, 386, 24485, 4085, 16, 388, 2699, 4085, 18, 409, 225, 1389, 6725, 292, 22576, 6947, 4700, 16, 20785, 1124, 88, 76, 290, 1846, 591, 88, 76, 17, 4577, 5631, 16, 359, 761, 359, 225, 88, 76, 73, 29520, 4970, 4791, 6437, 16, 5262, 17, 6769, 3169, 383, 225, 88, 76, 73, 8333, 25372, 573, 385, 10002, 715, 18695, 292, 225, 88, 76, 73, 1179, 14704, 16, 290, 225, 88, 76, 73, 332, 18, 363, 18, 4367, 8869, 18, 203, 203, 22484, 26985, 431, 225, 88, 76, 73, 41385, 588, 311, 16522, 16, 2212, 20843, 290, 5169, 331, 6943, 8415, 696, 596, 291, 1958, 5959, 644, 5996, 12596, 333, 26037, 4404, 1808, 225, 88, 76, 73, 20355, 263, 1724, 3703, 423, 1552, 17, 887, 316, 1237, 1077, 423, 225, 88, 76, 73, 29190, 356, 555, 5593, 16522, 696, 568, 7484, 423, 225, 88, 76, 73, 374, 753, 4717, 2985, 787, 292, 2171, 325, 225, 88, 76, 73, 10054, 1752, 292, 225, 88, 76, 73, 1257, 18, 6065, 12308, 643, 959, 431, 24665, 30873, 359, 1846, 359, 1958, 7068, 16, 517, 7635, 1750, 292, 225, 88, 76, 73, 1389, 979, 449, 1922, 1535, 1060, 1958, 8950, 18, 1979, 24665, 30873, 385, 18464, 431, 9318, 16, 225, 88, 76, 73, 2025, 13998, 292, 225, 88, 76, 73, 1389, 680, 17884, 326, 14439, 423, 357, 290, 286, 339, 3989, 286, 225, 88, 76, 73, 30873, 292, 21172, 4404, 18, 409, 14917, 385, 449, 9370, 1535, 1946, 6427, 18, 203, 203, 521, 4521, 385, 2657, 286, 225, 88, 76, 73, 2090, 8506, 292, 9715, 11585, 291, 10945, 18, 203, 203, 19315, 203, 203, 3591, 568, 203, 9937, 8506, 292, 9715, 11585, 15547, 291, 22254, 2307, 16, 21172, 4404, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 56, 1237, 1077, 14615, 4668, 16, 755, 565, 17, 39, 1612, 3010, 203, 203, 56, 1237, 1077, 16, 21172, 4404, 203, 34193, 11067, 291, 22254, 2307, 16, 21172, 4404, 203, 34193, 11067, 325, 225, 88, 76, 73, 2090, 8506, 292, 9715, 11585, 291, 21172, 4404, 2, 0, 17577, 27590, 7646, 4488, 318, 225, 69, 7797, 292, 14901, 1553, 4010, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 48, 1073, 292, 16486, 22725, 2, 0, 25881, 6949, 318, 225, 69, 7797, 291, 225, 88, 76, 73, 10321, 4521, 292, 640, 18, 4210, 526, 16, 291, 16486, 22725, 16, 3522, 18, 203, 203, 3591, 568, 203, 7521, 292, 14533, 291, 16486, 22725, 203, 203, 1987, 203, 2090, 10027, 3522, 203, 203, 23152, 2, 0, 521, 4941, 35458, 297, 27281, 318, 279, 1644, 1909, 292, 39096, 24009, 6226, 8712, 1177, 11717, 383, 34478, 13018, 11403, 291, 9533, 14823, 16, 4941, 18, 31403, 291, 10201, 286, 3734, 225, 88, 76, 73, 4941, 39096, 24009, 14580, 1950, 16, 357, 318, 1227, 286, 797, 17, 2996, 17, 10762, 266, 1282, 431, 225, 69, 11925, 4941, 50153, 290, 26021, 658, 1220, 2039, 383, 3923, 18792, 18, 203, 203, 829, 1374, 326, 225, 69, 6226, 286, 1177, 291, 225, 88, 76, 73, 4941, 35458, 297, 27281, 1909, 16, 519, 28101, 1381, 427, 652, 11925, 1040, 602, 326, 225, 69, 917, 5388, 573, 1767, 479, 292, 345, 20082, 677, 11, 7803, 886, 8861, 286, 5770, 18, 11513, 4291, 7243, 371, 2505, 658, 225, 69, 38240, 17, 10309, 2223, 291, 1374, 286, 2734, 225, 88, 76, 73, 7803, 886, 11, 225, 19928, 18, 203, 203, 829, 9483, 16, 30439, 2154, 225, 88, 76, 73, 724, 6226, 286, 1801, 1419, 479, 1220, 7246, 292, 225, 88, 76, 73, 4941, 35458, 297, 27281, 18, 203, 203, 829, 3384, 16, 1966, 286, 225, 88, 76, 73, 8882, 9310, 292, 225, 88, 76, 73, 4941, 35458, 297, 27281, 16, 225, 88, 76, 73, 4941, 39096, 24009, 33885, 366, 352, 290, 27082, 352, 3693, 16, 291, 6511, 346, 4941, 50153, 3848, 16, 3823, 279, 6010, 346, 225, 88, 76, 73, 4941, 20051, 13998, 352, 87, 35865, 14855, 300, 290, 47465, 3693, 290, 27689, 28822, 3726, 2562, 286, 1875, 2645, 2684, 286, 26474, 7766, 383, 34478, 13018, 11403, 18, 2060, 292, 225, 88, 76, 73, 4609, 2684, 961, 959, 318, 225, 88, 76, 73, 15058, 292, 225, 88, 76, 73, 8712, 18, 41228, 225, 88, 76, 73, 1172, 1532, 292, 1119, 225, 88, 76, 73, 740, 88, 290, 225, 88, 76, 73, 1105, 323, 8712, 427, 652, 2404, 823, 1689, 388, 325, 225, 88, 76, 73, 2777, 292, 225, 88, 76, 73, 4806, 2761, 526, 4236, 2107, 6263, 573, 1541, 5981, 18467, 286, 4785, 1133, 1191, 286, 225, 88, 76, 73, 4806, 2761, 526, 4236, 290, 225, 88, 76, 73, 4941, 35458, 297, 27281, 18, 689, 521, 1858, 4414, 65, 6010, 4914, 326, 225, 88, 76, 73, 7246, 286, 339, 6931, 383, 2070, 1220, 2754, 5423, 16, 1315, 225, 88, 76, 73, 595, 1133, 225, 88, 76, 73, 2243, 7246, 290, 225, 88, 76, 73, 33885, 366, 352, 4236, 1556, 6476, 33229, 16, 6678, 9936, 4115, 292, 225, 88, 76, 73, 32354, 9643, 37, 16, 8910, 345, 442, 459, 5422, 4941, 18467, 286, 787, 225, 88, 76, 73, 8712, 225, 69, 43908, 2141, 286, 623, 519, 8703, 2629, 286, 8835, 291, 225, 88, 76, 73, 4806, 2761, 352, 87, 4236, 18, 203, 203, 29463, 35458, 297, 27281, 203, 7957, 3593, 318, 3249, 291, 6338, 292, 225, 69, 6226, 25591, 291, 4941, 18, 203, 203, 8749, 17, 2996, 17, 765, 1105, 323, 15514, 30, 203, 18855, 603, 2436, 270, 27281, 774, 1025, 1699, 7124, 87, 291, 2429, 203, 13585, 526, 6706, 27281, 774, 1148, 1699, 7124, 87, 291, 2427, 203, 1832, 24865, 6706, 27281, 774, 1188, 18, 25, 1699, 7124, 87, 396, 2288, 19, 2455, 4638, 13, 291, 2485, 203, 203, 8749, 17, 2996, 17, 765, 740, 88, 15514, 30, 203, 1900, 18, 393, 3499, 27281, 774, 1025, 1699, 7124, 87, 291, 2429, 203, 7379, 23064, 27281, 774, 1148, 1699, 7124, 87, 291, 2427, 203, 557, 21385, 27281, 774, 1188, 18, 25, 1699, 7124, 87, 396, 2288, 19, 2455, 4638, 13, 291, 2485, 203, 203, 1987, 203, 409, 4941, 35458, 297, 27281, 383, 34478, 13018, 11403, 203, 203, 39113, 6226, 8712, 326, 797, 17, 2996, 17, 10762, 203, 44851, 8712, 291, 4941, 203, 4639, 13658, 12136, 2141, 3178, 291, 10201, 203, 10273, 1007, 13018, 11403, 203, 20684, 9011, 291, 4941, 2, 0, 12221, 1045, 1009, 28959, 1045, 318, 279, 9454, 431, 2677, 25416, 389, 4870, 22240, 10434, 30377, 18, 203, 203, 13339, 8483, 203, 6, 8197, 1925, 33554, 6, 774, 685, 30, 1791, 203, 6, 34667, 87, 4669, 828, 6, 774, 832, 30, 1758, 203, 6, 10223, 32805, 6, 774, 384, 30, 5592, 203, 6, 49895, 1078, 409, 5460, 3149, 6, 774, 832, 30, 6427, 203, 6, 45702, 9293, 6, 774, 832, 30, 6834, 203, 203, 29285, 3675, 18159, 35633, 203, 6, 29285, 3675, 6, 774, 685, 30, 3732, 203, 6, 8749, 22950, 6466, 2924, 2060, 6, 774, 685, 30, 5805, 203, 6, 1200, 3826, 10243, 438, 332, 6060, 6, 774, 685, 30, 3021, 203, 6, 2943, 15370, 6, 774, 685, 30, 7988, 203, 6, 49895, 1078, 409, 5460, 3149, 396, 6657, 12401, 20503, 774, 832, 30, 1758, 203, 6, 25092, 28252, 6, 774, 685, 30, 3732, 203, 6, 24153, 2461, 29908, 6, 774, 832, 30, 2419, 203, 6, 49073, 2924, 5458, 396, 6657, 12401, 20503, 774, 832, 30, 6643, 203, 6, 45702, 9293, 396, 6657, 12401, 20503, 774, 832, 30, 7055, 203, 203, 39636, 203, 26809, 431, 10434, 30377, 203, 12118, 384, 16, 832, 954, 848, 3689, 431, 13862, 36267, 203, 12118, 377, 954, 685, 3689, 290, 6478, 431, 6632, 18234, 20112, 203, 12118, 384, 16, 832, 954, 848, 6478, 431, 2212, 6399, 11733, 203, 5432, 282, 431, 7280, 9173, 203, 49753, 954, 946, 431, 36311, 12622, 203, 46443, 954, 5054, 431, 10434, 30377, 203, 17215, 18452, 431, 2694, 11581, 16, 13862, 36267, 954, 10505, 11467, 203, 15334, 431, 9981, 378 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3489, 16, 30305, 41825, 26094, 16, 9506, 6832, 12810, 954, 10434, 49550, 203, 44142, 431, 3833, 14455, 16, 389, 802, 26437, 954, 20628, 11467, 203, 5877, 277, 8566, 431, 10505, 11467, 203, 331, 5737, 431, 13862, 36267, 203, 203, 1987, 203, 203, 24552, 30377, 6847, 203, 10427, 44447, 2, 0, 37, 2492, 318, 225, 88, 76, 73, 1343, 17673, 17390, 666, 4175, 326, 689, 42442, 290, 571, 42442, 2883, 6, 290, 689, 47787, 290, 17421, 2883, 2656, 203, 203, 37, 2492, 783, 568, 3188, 286, 30, 203, 203, 5013, 203, 1456, 284, 396, 8466, 13, 203, 203, 35962, 203, 1456, 284, 3625, 203, 1456, 284, 3211, 8956, 203, 1456, 284, 16, 32727, 12943, 16, 225, 69, 1830, 291, 32727, 12943, 203, 1456, 284, 16, 13817, 700, 421, 21541, 16, 225, 69, 4227, 291, 12130, 203, 203, 5962, 3667, 203, 8838, 2254, 16, 279, 35581, 326, 5070, 4153, 31186, 30258, 21686, 203, 1456, 21160, 34479, 332, 1812, 2113, 947, 1600, 486, 395, 5672, 16208, 203, 8838, 2254, 17, 3859, 203, 18397, 3787, 6486, 1456, 284, 4855, 438, 203, 18397, 3787, 6486, 1456, 284, 16, 225, 69, 3395, 14212, 2396, 203, 8838, 17, 2254, 16, 225, 69, 2181, 292, 15575, 12310, 423, 225, 88, 76, 73, 4790, 9515, 17149, 9881, 203, 203, 3591, 568, 203, 12669, 38124, 48866, 2511, 30486, 4229, 396, 2053, 17392, 13, 203, 1456, 2492, 396, 20404, 13, 2, 0, 6, 6412, 828, 21567, 10242, 6, 318, 13811, 395, 10, 38, 19, 13777, 2843, 431, 7364, 38129, 18, 225, 409, 1963, 385, 3055, 431, 7364, 38129, 290, 32350, 45495, 18, 203, 203, 38379, 2358, 203, 521, 2013, 385, 225, 88, 76, 73, 1361, 3216, 326, 38129, 359, 7182, 3702, 286, 2124, 1319, 554, 325, 225, 88, 76, 73, 395, 10, 38, 11352, 18, 601, 2404, 225, 88, 76, 73, 1174, 3527, 326, 1560, 2754, 18, 225, 689, 6412, 828, 21567, 10242, 6, 385, 225, 69, 3141, 27727, 2843, 16, 42319, 383, 1319, 22576, 325, 225, 88, 76, 73, 16816, 4662, 2313, 18, 203, 203, 25791, 2693, 203, 521, 2414, 385, 4434, 431, 4825, 1473, 30667, 325, 522, 6485, 2353, 16, 25294, 286, 225, 88, 76, 73, 14539, 18, 203, 203, 1987, 203, 203, 26798, 8396, 203, 37777, 38129, 3943, 203, 21131, 3055, 431, 32350, 45495, 203, 26798, 3943, 203, 21131, 3055, 431, 7364, 38129, 2, 0, 30907, 431, 225, 88, 76, 73, 2160, 16847, 267, 3646, 4124, 426, 292, 1958, 88, 76, 290, 1946, 88, 76, 17, 4577, 5963, 16, 573, 5570, 23253, 346, 5281, 12162, 16, 225, 88, 76, 73, 4107, 292, 225, 88, 76, 73, 1195, 35625, 4668, 385, 5141, 291, 5755, 431, 709, 8668, 3962, 290, 39494, 16, 21749, 18793, 16, 290, 16979, 472, 4648, 8917, 30078, 18, 4992, 724, 7849, 1837, 1128, 291, 1063, 2229, 2086, 325, 2636, 377, 16, 5755, 16, 225, 88, 76, 73, 15844, 292, 573, 643, 11558, 286, 3366, 292, 29885, 423, 797, 6665, 6463, 596, 643, 5588, 383, 225, 88, 76, 73, 2107, 10964, 2916, 10893, 18, 203, 203, 521, 3929, 292, 225, 88, 76, 73, 4668, 318, 286, 5242, 9850, 1452, 754, 5658, 12961, 1452, 12976, 290, 673, 17, 1373, 20929, 15423, 573, 35570, 1452, 352, 87, 5939, 16, 21780, 290, 6398, 15818, 16, 291, 1374, 286, 1422, 4316, 6063, 326, 1452, 286, 225, 88, 76, 73, 3661, 3820, 2260, 18, 6171, 203, 521, 4107, 292, 225, 88, 76, 73, 1195, 35625, 4668, 2134, 225, 69, 4674, 1275, 292, 3852, 774, 21749, 18793, 396, 4594, 16491, 873, 378, 38063, 17, 61, 367, 32030, 396, 4594, 5205, 873, 290, 7145, 1524, 24856, 396, 1756, 28681, 13, 774, 4552, 5985, 3852, 345, 1706, 7182, 1131, 16, 12961, 7956, 16, 290, 9784, 1592, 292, 225, 88, 76, 73, 16516, 13748, 13107, 18, 4992, 12976, 2443, 2016, 8772, 326, 554, 286, 6196, 14970, 16, 4502, 423, 225, 88, 76, 73, 1958, 88, 76, 286, 2967, 334, 10227, 18, 3791, 292, 225, 88, 76, 73, 4668, 526, 3852, 15485, 291, 17276, 7348, 2358, 4847, 388, 6301, 1452, 18, 203, 203, 6661, 225, 69, 2358, 431, 225, 88, 76, 73, 4668, 292, 8844, 567, 270, 526, 29447, 326, 225, 88, 76, 73, 6575, 292, 4903, 16, 225, 69, 1063, 2229, 6320, 6474, 3972, 30, 689, 4280, 7956, 3459, 225, 88, 76, 73, 1452, 41831, 286, 969, 291, 760, 1935, 18, 1108, 905, 339, 2561, 357, 8230, 18, 1108, 905, 499, 325, 225, 88, 76, 73, 2441, 346, 357, 8368, 1556, 203, 203, 3302, 20929, 3064, 4650, 431, 225, 88, 76, 73, 4668, 4167, 225, 88, 76, 73, 22873, 292, 1452, 290, 1706, 12961, 1452, 3997, 17, 23387, 16, 16622, 17, 4873, 2016, 16, 290, 1004, 388, 1727, 49966, 18, 16952, 1452, 4604, 431, 225, 88, 76, 73, 4668, 504, 2765, 1004, 49966, 290, 2016, 431, 9317, 5500, 29105, 16, 2212, 2927, 70, 2284, 16, 4135, 16394, 16, 290, 13115, 23746, 9860, 18, 7237, 431, 1490, 17, 4873, 17748, 774, 955, 359, 14309, 44575, 9316, 16, 13606, 556, 90, 13558, 16, 16944, 11420, 2011, 3889, 13195, 1000, 16, 2011, 389, 308, 583, 79, 16, 1343, 5627, 1000, 35902, 498, 16, 290, 2127, 3038, 13563, 6330, 89, 774, 371, 25412, 6300, 17748, 955, 359, 23255, 903, 16, 2850, 39301, 16, 30389, 16, 395, 1855, 16, 33545, 16, 290, 980, 79, 1586, 12446, 18, 203, 203, 5678, 5755, 225, 88, 76, 73, 4668, 504, 4650, 225, 69, 1909, 292, 12961, 1452, 12976, 291, 1063, 2229, 2086, 774, 383, 10551, 345, 1706, 707, 370, 2511, 1202, 3757, 383, 27096, 3757, 16, 5079, 5114, 20252, 3757, 16, 225, 88, 76, 73, 4668, 326, 47438, 10669, 774, 290, 504, 652, 4650, 431, 7849, 4057, 345, 1706, 409, 16516, 4680, 292, 2398, 16, 10649, 10991, 4107, 290, 21187, 396, 16891, 13, 10185, 292, 4107, 18, 225, 409, 4668, 8382, 12976, 325, 1119, 2536, 290, 2875, 2296, 8853, 18, 203, 203, 48, 488, 883, 4650, 431, 225, 88, 76, 73, 4668, 1635, 7021, 325, 225, 69, 21780, 16, 6398, 16, 388, 6947, 6747, 292, 1452, 290, 9426, 629, 292, 225, 88, 76, 73, 6947, 22873, 292, 8772, 1452, 18, 18185, 43502, 427, 2765, 1452, 19901, 16, 279, 1223, 7312, 16, 225, 69, 37842, 666, 19399, 16, 1452 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 20853, 16, 290, 9657, 298, 308, 295, 9972, 18, 203, 203, 1109, 11780, 292, 225, 88, 76, 73, 1195, 35625, 550, 318, 225, 69, 3463, 5395, 286, 279, 2251, 1353, 7948, 431, 225, 88, 76, 73, 7417, 17279, 363, 24310, 356, 281, 287, 396, 26, 88, 76, 3503, 33356, 13, 290, 522, 9855, 16, 2196, 624, 42926, 290, 45956, 2268, 16, 345, 225, 88, 76, 73, 33029, 29364, 1013, 286, 7651, 5281, 20204, 568, 3188, 286, 1059, 292, 225, 88, 76, 73, 3287, 9881, 16, 1315, 225, 88, 76, 73, 22517, 1614, 7071, 292, 21151, 18, 363, 24310, 356, 281, 287, 6405, 225, 88, 76, 73, 28492, 4267, 1133, 5281, 1986, 16, 388, 709, 616, 84, 1472, 1395, 290, 225, 88, 76, 73, 3287, 8492, 292, 279, 3670, 7368, 345, 1986, 18, 731, 318, 16769, 346, 15590, 225, 88, 76, 73, 3287, 5249, 292, 5281, 1986, 754, 522, 15448, 345, 225, 88, 76, 73, 10412, 292, 2885, 774, 359, 291, 225, 69, 7039, 779, 8452, 4980, 22186, 279, 20518, 774, 292, 225, 69, 8511, 318, 384, 30, 23, 16, 345, 292, 279, 24144, 401, 318, 377, 30, 22, 16, 290, 345, 292, 225, 88, 76, 73, 5837, 318, 685, 30, 24, 18, 7985, 16, 458, 9377, 345, 660, 318, 225, 69, 24114, 1133, 225, 88, 76, 73, 30658, 292, 1986, 290, 225, 88, 76, 73, 3287, 1004, 16, 955, 359, 345, 292, 4074, 290, 14854, 18, 396, 3591, 4107, 290, 15758, 3155, 203, 203, 9427, 18328, 291, 2827, 5725, 16, 225, 88, 76, 73, 4107, 292, 225, 88, 76, 73, 1195, 35625, 4668, 318, 225, 69, 1928, 17, 7014, 16, 22911, 271, 12, 23, 13, 3084, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 521, 4107, 292, 225, 88, 76, 73, 1195, 35625, 4668, 3131, 1637, 203, 203, 13398, 9011, 291, 225, 88, 76, 73, 1851, 2198, 203, 2300, 6970, 1452, 3074, 203, 26999, 3074, 3178, 291, 5755, 203, 26999, 3074, 423, 1063, 2229, 2086, 2, 0, 15316, 22130, 6920, 385, 279, 1644, 1514, 5694, 1653, 291, 17235, 16, 7045, 16, 573, 2740, 6847, 431, 13613, 7956, 18, 28225, 431, 11199, 25040, 16, 225, 88, 76, 73, 5694, 2740, 581, 452, 6847, 981, 357, 22953, 5185, 18, 203, 203, 521, 5694, 526, 1565, 1882, 423, 225, 88, 76, 73, 14271, 1816, 8257, 30248, 356, 353, 16, 225, 69, 982, 596, 5044, 225, 69, 1845, 2181, 292, 1324, 6365, 18, 203, 203, 3001, 6420, 12509, 1740, 4152, 22130, 689, 88, 76, 73, 3173, 528, 18, 55, 18, 5694, 18440, 291, 6301, 13613, 1452, 2656, 203, 203, 28159, 203, 25218, 805, 271, 18, 7196, 696, 5755, 203, 203, 1987, 203, 203, 4387, 1514, 11386, 203, 32591, 1514, 11386, 6171, 203, 11780, 292, 17235, 2, 0, 31030, 383, 225, 88, 76, 73, 15660, 318, 225, 69, 15810, 3194, 7440, 1782, 5782, 431, 22001, 24816, 263, 290, 13483, 332, 32309, 1104, 2822, 16, 14080, 23730, 16, 22570, 1397, 1663, 16, 2212, 43415, 290, 9317, 26912, 18, 332, 11430, 1822, 527, 346, 225, 69, 8386, 286, 5657, 522, 2269, 431, 16236, 277, 225, 69, 11458, 6958, 517, 2415, 4515, 15694, 4757, 291, 6726, 650, 225, 69, 1229, 9990, 2569, 1128, 18, 601, 318, 1653, 325, 225, 69, 3141, 2699, 6575, 748, 431, 13755, 27227, 290, 522, 3564, 25440, 18, 203, 203, 20078, 203, 1989, 31873, 43764, 22081, 396, 37, 32309, 1104, 2822, 13, 8631, 907, 225, 69, 6293, 17955, 1868, 31843, 16, 12989, 633, 8100, 965, 16, 780, 7505, 291, 346, 633, 6711, 3845, 22419, 396, 36485, 23730, 859, 1294, 15167, 1840, 225, 11430, 16, 22419, 1822, 527, 346, 279, 524, 944, 562, 8386, 286, 623, 522, 724, 1388, 1806, 18, 731, 3407, 286, 9491, 22081, 291, 225, 88, 76, 73, 1577, 16, 286, 11458, 633, 2371, 16, 290, 857, 623, 3544, 9859, 326, 633, 6958, 18, 1605, 22081, 8075, 26034, 3560, 383, 522, 4972, 16, 357, 459, 7912, 522, 30608, 16, 290, 2819, 22419, 286, 3760, 522, 2794, 346, 279, 7460, 1806, 18, 1790, 16, 225, 88, 76, 73, 15549, 17931, 225, 69, 1229, 11344, 650, 544, 1620, 6478, 527, 346, 26615, 32588, 16, 4214, 26032, 318, 7513, 291, 519, 1577, 18, 203, 203, 14126, 203, 36485, 23730, 359, 22419, 6330, 2682, 202, 203, 37, 32309, 1104, 2822, 359, 22081, 6330, 225, 202, 6171, 202, 3595, 1021, 1397, 1663, 359, 9560, 16034, 303, 2682, 203, 31374, 26912, 359, 9115, 225, 203, 7187, 43415, 359, 5042, 22046, 28815, 202, 44, 1739, 7223, 421, 277, 765, 359, 8431, 5500, 1553, 225, 203, 19785, 12223, 23962, 359, 39418, 1195, 3105, 2682, 45804, 9317, 389, 25309, 359, 1366, 1114, 45804, 202, 48884, 9034, 4470, 359, 42754, 1563, 202, 36618, 2203, 5627, 359, 5277, 453, 11, 23390, 203, 203, 26400, 9232, 203, 521, 7741, 6320, 8188, 225, 88, 76, 73, 1782, 526, 8587, 27256, 16, 689, 18403, 16, 291, 442, 1715, 16, 345, 526, 449, 3902, 940, 16, 359, 225, 88, 76, 73, 8587, 2693, 292, 13755, 290, 25440, 27227, 526, 1367, 20486, 46342, 3461, 985, 823, 877, 2459, 18, 8781, 1581, 770, 3177, 641, 836, 286, 15041, 442, 951, 16165, 19521, 22337, 1027, 41264, 763, 20416, 4184, 225, 88, 76, 73, 1782, 359, 689, 69, 1308, 664, 225, 69, 1305, 292, 1273, 2028, 83, 1303, 286, 969, 2670, 290, 10479, 16, 689, 37, 1700, 2162, 11381, 19521, 423, 225, 88, 76, 73, 49780, 426, 2670, 33629, 16, 689, 38, 960, 263, 318, 3248, 811, 10479, 291, 225, 88, 76, 73, 2084, 292, 13445, 16, 18059, 383, 225, 88, 76, 73, 15660, 318, 225, 69, 38657, 12853, 292, 522, 4514, 1556, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 29465, 3596, 203, 29465, 7440, 3596, 203, 12158, 4126, 383, 3194, 3211, 16152, 12467, 203, 24198, 87, 2764, 17, 11345, 3596, 203, 12808, 7440, 3596, 203, 12808, 2532, 17, 387, 17, 13417, 3596, 203, 12808, 3596, 1653, 325, 5066, 203, 24198, 87, 3194, 3596, 2, 0, 22662, 13131, 33859, 1291, 20200, 396, 825, 2382, 26234, 696, 3436, 2209, 7423, 13, 225, 385, 279, 2764, 29404, 596, 2533, 724, 17, 6553, 10894, 326, 225, 40371, 423, 20718, 286, 16382, 203, 203, 4877, 20200, 385, 3157, 383, 36505, 404, 16, 40371, 18, 731, 959 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 522, 4796, 326, 40371, 291, 225, 88, 76, 73, 20718, 1569, 16, 291, 2262, 1584, 2217, 753, 6120, 4238, 650, 458, 770, 644, 225, 88, 76, 73, 3122, 286, 7923, 4266, 11374, 16, 290, 385, 1172, 563, 291, 16, 9919, 377, 291, 522, 1361, 16466, 18, 1790, 458, 1837, 1220, 29397, 291, 522, 1358, 2200, 1584, 2446, 46933, 290, 3838, 286, 748, 5514, 326, 40371, 1535, 20953, 27890, 384, 29397, 619, 2200, 18, 557, 225, 88, 76, 73, 20968, 1569, 16, 458, 1837, 848, 326, 25689, 1584, 225, 88, 76, 73, 2027, 32334, 16, 290, 857, 291, 554, 2200, 1584, 2217, 753, 6120, 4238, 1837, 848, 326, 1260, 291, 225, 88, 76, 73, 724, 16466, 290, 1025, 326, 7629, 291, 225, 88, 76, 73, 1361, 18, 557, 225, 88, 76, 73, 19611, 1569, 16, 458, 1837, 848, 326, 14852, 1584, 28718, 18, 731, 770, 2533, 2333, 225, 88, 76, 73, 17007, 1569, 16, 290, 979, 449, 748, 383, 479, 291, 18620, 18, 731, 26034, 4032, 326, 40371, 291, 225, 88, 76, 73, 17888, 1569, 16, 225, 7810, 522, 1139, 290, 291, 225, 88, 76, 73, 19101, 1569, 16, 225, 458, 1837, 1025, 326, 16161, 1584, 2217, 753, 6120, 4238, 18, 557, 225, 88, 76, 73, 16382, 1569, 16, 522, 2358, 385, 14672, 968, 16, 290, 225, 88, 76, 73, 3440, 2107, 2446, 3459, 225, 69, 23305, 286, 522, 724, 17, 6553, 10894, 2269, 18, 6171, 203, 4877, 20200, 385, 225, 69, 3174, 1736, 17, 1170, 41590, 43395, 596, 1837, 38547, 724, 17, 6553, 29397, 383, 279, 3661, 292, 3275, 18, 5210, 290, 225, 69, 910, 2358, 292, 1025, 17, 5805, 18, 731, 644, 2176, 848, 36089, 16466, 290, 554, 1136, 36089, 2200, 18, 731, 385, 225, 69, 1736, 17, 5920, 45602, 290, 2533, 38547, 16466, 291, 17333, 724, 17, 6553, 6537, 346, 279, 3661, 292, 1148, 18, 825, 290, 225, 69, 1174, 3954, 292, 3436, 18, 203, 203, 4877, 20200, 385, 568, 225, 69, 12796, 326, 26518, 393, 47024, 16, 26461, 2409, 8427, 290, 30119, 10594, 32, 17221, 1565, 33, 203, 203, 4877, 20200, 3904, 383, 19419, 383, 225, 88, 76, 73, 2184, 292, 13366, 18, 203, 203, 1987, 203, 203, 47846, 4686, 203, 19441, 5850, 203, 33422, 38009, 23118, 203, 9327, 23118, 2, 0, 521, 14330, 326, 5049, 8381, 396, 9354, 46, 13, 385, 279, 8429, 1653, 291, 6836, 6087, 573, 46781, 326, 4967, 3993, 291, 345, 3442, 18, 203, 203, 521, 10038, 46, 385, 31406, 325, 1946, 2494, 11777, 291, 389, 1828, 29147, 16, 2307, 50133, 16, 431, 24483, 30821, 308, 3128, 16, 596, 2154, 709, 724, 5309, 16943, 16, 290, 633, 4252, 16, 1491, 2639, 18362, 1900, 10673, 30821, 308, 3128, 18, 409, 2735, 644, 291, 12812, 3178, 225, 69, 42911, 21459, 11, 3556, 286, 3224, 1584, 15567, 291, 225, 88, 76, 73, 21866, 292, 1502, 5896, 18, 409, 10038, 46, 385, 3178, 16, 3060, 286, 225, 88, 76, 73, 11303, 5212, 16, 326, 689, 88, 76, 73, 3748, 292, 5486, 225, 88, 76, 73, 1598, 292, 22378, 286, 7274, 325, 225, 88, 76, 73, 15567, 573, 9339, 291, 531, 1504, 1584, 225, 88, 76, 73, 6402, 3512, 292, 345, 1504, 9854, 543, 720, 554, 17, 2523, 292, 225, 88, 76, 73, 2914, 3650, 2656, 203, 203, 1987, 203, 203, 521, 47742, 396, 27132, 6087, 13, 203, 29719, 3993, 9465, 291, 225, 88, 76, 73, 1851, 6248, 203, 21572, 15677, 3074, 291, 6836, 6087, 203, 36538, 3178, 291, 11777, 203, 24879, 9011, 291, 225, 88, 76, 73, 1851, 6248, 2, 0, 521, 41850, 4255, 30607, 22551, 15803, 9069, 292, 13662, 84, 6151, 16, 15922, 16, 318, 225, 69, 1583, 88, 76, 17, 4577, 22551, 45839, 3042, 2558, 291, 225, 88, 76, 73, 1367, 4570, 5127, 292, 478, 72, 471, 3150, 76, 18, 601, 318, 2645, 2196, 225, 88, 76, 73, 22551, 10012, 326, 961, 554, 292, 225, 88, 76, 73, 9379, 3577, 10012, 291, 225, 88, 76, 73, 22551, 39191, 290, 225, 88, 76, 73, 1830, 292, 13662, 84, 6151, 18, 601, 318, 225, 69, 1220, 17, 82, 401, 24935, 3271, 3042, 346, 786, 25129, 18, 4992, 12977, 10157, 292, 17888, 16, 318, 3285, 286, 339, 554, 292, 225, 88, 76, 73, 2190, 9699, 292, 225, 88, 76, 73, 46209, 6564, 291, 13662, 84, 6151, 18, 203, 203, 3268, 4063, 1947, 291, 13662, 84, 6151, 203, 203, 521, 724, 2645, 22551, 4933, 291, 225, 88, 76, 73, 1830, 292, 13662, 84, 6151, 6833, 286, 225, 88, 76, 73, 377, 334, 3503, 8625, 16, 650, 25765, 811, 316, 3460, 8062, 225, 88, 76, 73, 3677, 1011, 78, 33766, 15922, 16, 290, 7208, 44178, 359, 554, 292, 225, 88, 76, 73, 1560, 43144, 292, 225, 88, 76, 73, 1700, 5044, 22551, 8918, 18, 1979, 41501, 7650, 16, 650, 17342, 2154, 225, 88, 76, 73, 3131, 1627, 9214, 292, 25765, 290, 709, 3650, 16, 13662, 84, 6151, 2154, 279, 1263, 3313, 326, 22551, 39248, 325, 519, 836, 286, 15370, 18, 8621, 16, 225, 88, 76, 73, 14570, 1947, 979, 449, 1139, 698, 279, 6331, 1504, 291, 13662, 84, 6151, 1535, 225, 88, 76, 73, 22551, 4933, 5789, 38207, 1154, 225, 88, 76, 73, 1814, 88, 76, 3503, 383, 225, 88, 76, 73, 1631, 292, 225, 88, 76, 73, 22551, 6248, 292, 331, 299, 26646, 16, 650, 225, 69, 10849, 1319, 292, 22551, 3366, 290, 19802, 9370, 291, 225, 88, 76, 73, 1830, 3082, 519, 884, 3251, 290, 26366, 18, 1591, 225, 88, 76, 73, 6085, 292, 22551, 3621, 16, 10012, 290, 1708, 325, 225, 88, 76, 73, 673, 80, 1941, 16, 14570, 1947, 4650, 2939, 359, 225, 69, 761, 17, 28813, 1504, 1154, 225, 88, 76, 73, 2116, 88, 76, 3503, 18, 203, 203, 521, 22551, 3650, 292, 13662, 84, 6151, 3838, 286, 1405, 359, 13662, 84, 6151, 385, 35341, 698, 225, 88, 76, 73, 20711, 8918, 18, 409, 20711, 8918, 644, 225, 69, 1648, 14660, 22551, 3650, 291, 709, 7942, 24419, 16250, 3442, 16, 423, 827, 629, 14570, 1947, 3230, 286, 13662, 84, 6151, 291, 2247, 292, 4087, 2516, 18, 409, 22551, 4933, 291, 13662, 84, 6151, 5789, 32067, 819, 18196, 16, 650, 357, 2154, 279, 7514, 4865, 326, 15773, 292, 17111, 292 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 225, 88, 76, 73, 22551, 32769, 18, 316, 675, 292, 5191, 292, 22551, 15773, 16, 2648, 761, 658, 2313, 16, 1318, 16, 9370, 291, 13662, 84, 6151, 1154, 442, 2223, 18, 2519, 629, 13708, 16, 14570, 1947, 26138, 326, 225, 69, 5127, 292, 13662, 84, 6151, 526, 3650, 431, 225, 88, 76, 73, 3960, 292, 225, 88, 76, 73, 25096, 3503, 16, 431, 573, 595, 544, 644, 1620, 225, 69, 13654, 16, 22089, 323, 3494, 1504, 18, 9365, 16, 359, 225, 69, 1873, 292, 3506, 43500, 11532, 291, 15922, 16, 14570, 1947, 2483, 286, 19794, 405, 286, 18859, 290, 1708, 286, 2214, 16, 225, 88, 76, 73, 23412, 290, 3610, 16, 2276, 291, 225, 88, 76, 73, 6799, 87, 290, 6336, 87, 18, 20557, 16, 13662, 84, 6151, 6497, 225, 69, 3313, 292, 225, 88, 76, 73, 6622, 22551, 39191, 16, 9674, 1133, 2723, 16, 1318, 290, 5392, 16, 1318, 14570, 1947, 4848, 18, 316, 675, 292, 5191, 292, 14570, 1947, 1736, 1154, 225, 88, 76, 73, 4967, 2391, 16, 290, 357, 4819, 286, 339, 2194, 670, 459, 4458, 292, 225, 88, 76, 73, 1504, 650, 9886, 7465, 18, 203, 203, 6355, 203, 203, 521, 22551, 3042, 292, 225, 88, 76, 73, 41850, 4255, 30607, 291, 13662, 84, 6151, 385, 4718, 2116, 8612, 16, 291, 225, 88, 76, 73, 1361, 6175, 292, 225, 88, 76, 73, 1184, 409, 8854, 29522, 292, 225, 88, 76, 73, 8600, 8365, 16, 3055, 431, 9589, 351, 3776, 729, 2476, 291, 13662, 84, 6151, 18, 203, 203, 5632, 16, 225, 88, 76, 73, 1474, 1848, 292, 225, 88, 76, 73, 3042, 385, 2387, 290, 3500, 291, 2116, 12979, 286, 6500, 225, 69, 1240, 19333, 291, 225, 88, 76, 73, 1367, 4570, 18449, 292, 225, 88, 76, 73, 478, 72, 471, 3150, 76, 5127, 18, 409, 3042, 385, 3249, 291, 13665, 292, 225, 69, 1275, 292, 5250, 8931, 596, 8136, 44862, 3562, 1689, 225, 88, 76, 73, 1830, 292, 20491, 567, 291, 48733, 25765, 16, 290, 643, 479, 35622, 532, 291, 17342, 359, 225, 88, 76, 73, 41850, 4255, 30607, 292, 1776, 70, 12141, 18, 1456, 225, 88, 76, 73, 3352, 16, 225, 88, 76, 73, 3042, 385, 292, 225, 69, 1240, 2637, 346, 225, 69, 4767, 292, 770, 2313, 8083, 18, 557, 2116, 4271, 17, 34220, 16, 225, 88, 76, 73, 3042, 1981, 811, 1648, 17, 10413, 20995, 18, 11928, 384, 806, 16, 357, 385, 28047, 290, 225, 69, 631, 673, 80, 1941, 1848, 292, 225, 88, 76, 73, 22551, 22892, 292, 3841, 4636, 69, 385, 2387, 291, 225, 88, 76, 73, 3042, 8313, 16, 11643, 754, 225, 88, 76, 73, 10314, 292, 279, 22551, 13572, 3249, 12173, 293, 15419, 5938, 49687, 18, 4150, 225, 88, 76, 73, 1737, 806, 16, 41850, 4255, 30607, 15803, 5980, 2154, 225, 69, 8958, 5457, 292, 798, 22551, 14556, 4442, 710, 292, 225, 88, 76, 73, 8600, 5750, 292, 331, 299, 26646, 18, 203, 203, 21806, 1583, 8950, 16, 225, 88, 76, 73, 24451, 385, 9308, 346, 225, 88, 76, 73, 21624, 19549, 292, 225, 88, 76, 73, 22551, 18449, 16, 650, 225, 88, 76, 73, 18449, 385, 3230, 290, 770, 23591, 4063, 290, 225, 88, 76, 73, 42722, 292, 225, 88, 76, 73, 1504, 643, 3842, 286, 339, 11002, 291, 225, 88, 76, 73, 3042, 8313, 18, 203, 203, 521, 41850, 4255, 30607, 15803, 385, 19809, 1001, 291, 1958, 2455, 431, 225, 88, 76, 73, 10314, 292, 225, 88, 76, 73, 1504, 4467, 1145, 347, 556, 923, 6775, 10461, 337, 755, 1718, 1636, 290, 225, 88, 76, 73, 15348, 292, 522, 3845, 556, 923, 6775, 3024, 380, 755, 1718, 1636, 18, 2519, 225, 88, 76, 73, 991, 292, 225, 88, 76, 73, 1150, 602, 16, 225, 88, 76, 73, 3042, 385, 29436, 346, 225, 88, 76, 73, 4933, 292, 6402, 380, 378, 628, 593, 975, 10621, 292, 332, 2944, 349, 396, 44, 628, 593, 975, 832, 88, 76, 332, 2944, 349, 375, 77, 13, 290, 11614, 556, 301, 324, 322, 556, 620, 340, 375, 77, 18, 203, 203, 829, 1958, 3732, 16, 359, 225, 69, 1873, 292, 225, 88, 76, 73, 3496, 1319, 292, 22551, 4848, 290, 39248, 16, 225, 88, 76, 73, 22551, 673, 80, 1941, 1698, 286, 1127, 225, 69, 5127, 1689, 225, 88, 76, 73, 3042, 16, 573, 318, 1146, 1712, 346, 709, 2536, 1565, 689, 44, 9918, 773, 6, 396, 31903, 735, 3010, 859, 601, 385, 10237, 286, 3665, 359, 225, 69, 1716, 17, 3409, 346, 3275, 1648, 5139, 326, 225, 88, 76, 73, 22551, 39248, 325, 519, 836, 286, 15370, 18, 409, 378, 9918, 773, 385, 2387, 431, 225, 88, 76, 73, 10314, 292, 556, 923, 6775, 421, 7402, 570, 11879, 18, 203, 203, 521, 5224, 30703, 48888, 389, 5284, 37718, 596, 7089, 13662, 84, 6151, 291, 1958, 3021, 16, 504, 4184, 225, 88, 76, 73, 3042, 359, 554, 292, 225, 88, 76, 73, 1560, 10012, 345, 643, 2387, 12665, 286, 1040, 609, 291, 554, 8313, 346, 554, 8570, 16, 291, 225, 88, 76, 73, 7495, 2267, 478, 72, 471, 3150, 76, 4570, 5127, 18, 409, 609, 1220, 10012, 371, 225, 88, 76, 73, 7417, 17796, 3536, 292, 225, 88, 76, 73, 389, 1672, 584, 292, 1867, 8925, 16, 225, 88, 76, 73, 8600, 8919, 292, 2203, 22551, 3536, 396, 88, 76, 73, 1474, 1343, 340, 26787, 22920, 13, 290, 225, 88, 76, 73, 1367, 1104, 263, 576, 3536, 292, 7529, 40663, 18, 203, 203, 16766, 16, 225, 88, 76, 73, 24451, 504, 685, 26205, 1239, 16, 279, 6440, 1806, 2387, 291, 29859, 290, 225, 69, 31754, 274, 15746, 4265, 291, 25536, 18, 203, 203, 521, 3042, 1411, 644, 225, 69, 280, 822, 732, 1535, 17888, 16, 650, 225, 69, 12977, 10157, 385, 20757, 431, 225, 88, 76, 73, 10314, 292, 225, 88, 76, 73, 20214, 17, 3268, 4063, 666, 40397, 46136, 79, 42220, 31467, 593, 423, 6933, 18, 4150, 225, 88, 76, 73, 384, 348, 2333, 292, 225, 88, 76, 73, 452, 88, 76, 3503, 16, 225, 88, 76, 73, 6003, 292, 225, 88, 76, 73, 3042, 24937, 6452, 20995, 286, 1446, 346, 225, 88, 76, 73, 3572, 292, 3222, 22551, 10012, 18, 1507, 3436, 1589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 8338, 16, 431, 225, 88, 76, 73, 10314, 292, 556, 15237, 41232, 9127, 423, 13662, 84, 6151, 16, 225, 69, 36354, 579, 14920, 17, 40372, 8430, 385, 4265, 291, 225, 88, 76, 73, 3042, 6589, 47051, 225, 88, 76, 73, 9494, 292, 225, 88, 76, 73, 22551, 32769, 18, 203, 203, 2091, 3538, 2355, 4597, 16, 225, 88, 76, 73, 22551, 1504, 292, 13662, 84, 6151, 7473, 225, 88, 76, 73, 6052, 88, 76, 9018, 292, 225, 88, 76, 73, 724, 24737, 292, 225, 88, 76, 73, 3042, 811, 225, 88, 76, 73, 38671, 292, 6402, 380, 957, 321, 314, 16, 1154, 225, 88, 76, 73, 2223, 292, 24488, 24589, 960, 7079, 284, 802, 261, 18, 203, 203, 45, 6461, 203, 203, 521, 3042, 318, 4449, 326, 1119, 6306, 290, 2875, 17, 887, 17414, 16, 346, 543, 720, 1872, 9699, 30, 203, 409, 8919, 292, 2203, 396, 6426, 8165, 16, 17170, 92, 36034, 16, 1958, 12691, 431, 10902, 17, 6179, 1323, 72, 498, 13, 203, 5315, 4210, 346, 5194, 396, 6426, 8165, 16, 26074, 92, 38768, 10490, 16, 1958, 11330, 431, 279, 8061, 22551, 13005, 13, 203, 409, 12314, 1486, 292, 5194, 396, 6426, 8165, 16, 14852, 92, 4979, 10490, 16, 423, 225, 88, 76, 73, 1946, 88, 76, 3503, 13, 203, 409, 27065, 292, 225, 88, 76, 73, 3684, 77, 396, 6426, 8165, 16, 29469, 92, 44170, 10490, 16, 423, 225, 88, 76, 73, 1946, 88, 76, 3503, 431, 279, 8061, 22551, 13005, 13, 203, 7529, 2212, 409, 13886, 396, 3341, 5417, 16, 10502, 92, 8612, 10490, 16, 1946, 825, 431, 48231, 924, 1294, 12943, 13, 203, 7529, 7804, 396, 3341, 5417, 16, 10502, 92, 8612, 10490, 16, 1946, 825, 431, 48231, 924, 1294, 12943, 13, 203, 5315, 4210, 346, 5194, 396, 3341, 5417, 16, 11795, 92, 43570, 10490, 16, 1946, 4457, 431, 48231, 924, 1294, 12943, 13, 203, 409, 12314, 1486, 292, 5194, 1895, 396, 3341, 5417, 16, 18990, 92, 27929, 10490, 16, 1946, 7055, 431, 48231, 924, 1294, 12943, 13, 203, 5315, 4210, 9308, 431, 409, 31095, 749, 396, 6426, 8165, 16, 5392, 60, 3819, 10490, 16, 423, 225, 88, 76, 73, 2775, 1124, 88, 76, 3503, 431, 279, 8061, 22551, 13005, 13, 203, 409, 6766, 6434, 12001, 16, 554, 292, 225, 88, 76, 73, 745, 4383, 17414, 292, 225, 88, 76, 73, 13662, 84, 16064, 1204, 396, 6426, 8165, 16, 8428, 92, 12460, 10490, 16, 1946, 6834, 431, 2160, 6565, 267, 42220, 378, 628, 87, 455, 13, 203, 203, 2691, 225, 88, 76, 73, 8574, 292, 24488, 24589, 960, 7079, 284, 802, 261, 16, 225, 88, 76, 73, 4889, 292, 225, 88, 76, 73, 17414, 643, 19809, 1133, 8169, 290, 7196, 431, 225, 88, 76, 73, 22551, 3106, 1009, 9497, 1365, 45330, 261, 18, 203, 203, 23466, 292, 225, 88, 76, 73, 8600, 8919, 292, 2203, 203, 203, 521, 1367, 3042, 292, 225, 88, 76, 73, 8600, 8919, 292, 2203, 385, 2387, 2922, 286, 2116, 4457, 16, 383, 225, 69, 595, 650, 225, 88, 76, 73, 22551, 1504, 385, 5401, 359, 225, 69, 2645, 1504, 291, 13662, 84, 6151, 346, 709, 884, 23591, 4063, 16, 6586, 290, 225, 88, 76, 73, 673, 80, 1941, 18, 738, 1240, 3042, 504, 15262, 1579, 20995, 16, 291, 1583, 4665, 16, 1946, 13041, 16, 34567, 290, 14417, 9450, 18, 409, 3042, 6497, 3577, 1535, 225, 88, 76, 73, 22901, 292, 225, 88, 76, 73, 452, 88, 76, 3503, 16, 650, 357, 385, 3557, 698, 225, 69, 5532, 18, 557, 8338, 16, 225, 88, 76, 73, 1848, 385, 3557, 698, 5977, 290, 14070, 1343, 340, 26787, 22920, 292, 225, 88, 76, 73, 22551, 45839, 3536, 292, 13662, 84, 6151, 16, 291, 4923, 292, 6402, 380, 1343, 340, 76, 314, 292, 225, 88, 76, 73, 3677, 3010, 292, 331, 299, 26646, 16, 596, 644, 3220, 359, 2650, 19681, 292, 225, 88, 76, 73, 32358, 292, 13662, 84, 6151, 981, 961, 6413, 359, 14556, 4442, 380, 18, 203, 203, 16583, 4709, 203, 521, 41850, 4255, 30607, 15803, 318, 225, 88, 76, 73, 5457, 292, 225, 88, 76, 73, 22551, 22892, 292, 3841, 4636, 69, 290, 554, 292, 225, 88, 76, 73, 9379, 3577, 10012, 291, 225, 88, 76, 73, 1830, 18, 601, 318, 568, 554, 292, 225, 88, 76, 73, 9379, 13160, 10012, 291, 225, 88, 76, 73, 22551, 39191, 18, 409, 1367, 1848, 292, 225, 88, 76, 73, 673, 80, 1941, 1434, 225, 88, 76, 73, 3042, 6589, 318, 811, 13363, 286, 3665, 359, 279, 9168, 2347, 18, 409, 3042, 3255, 318, 568, 965, 286, 225, 88, 76, 73, 1343, 340, 26787, 22920, 16, 9233, 75, 890, 666, 22551, 1925, 16, 4984, 311, 293, 332, 7402, 22126, 8681, 6582, 290, 32964, 332, 469, 2195, 666, 8030, 292, 8675, 890, 6220, 77, 82, 18632, 290, 14141, 4668, 18, 409, 1474, 1848, 292, 225, 88, 76, 73, 673, 80, 1941, 6606, 291, 2290, 292, 225, 88, 76, 73, 24451, 18, 203, 203, 2091, 2355, 3436, 16, 2616, 16, 2994, 292, 225, 88, 76, 73, 41850, 4255, 30607, 3042, 13984, 643, 9489, 291, 225, 69, 17186, 24335, 388, 21895, 3727, 31, 225, 88, 76, 73, 3042, 3020, 290, 225, 88, 76, 73, 12977, 10157, 11181, 225, 88, 76, 73, 3727, 18, 1979, 225, 88, 76, 73, 1172, 5096, 17, 2676, 1484, 27463, 1736, 225, 88, 76, 73, 1830, 291, 2698, 2489, 16, 13363, 2016, 643, 3823, 291, 2382, 2451, 18, 409, 20842, 15795, 797, 806, 16, 1535, 2209, 4600, 16, 2153, 16, 650, 20842, 385, 6892, 18, 409, 3042, 385, 661, 743, 320, 14223, 431, 6402, 380, 957, 321, 314, 18, 203, 203, 19315, 203, 203, 3591, 568, 203, 7521, 292, 10012, 291, 13662, 84, 6151, 203, 3268, 4063, 666, 45839, 3536, 203, 41, 354, 1038, 317, 38453, 203, 7521, 292, 22551, 6402, 710, 292, 331, 299, 26646, 203, 23466, 292, 225, 88, 76, 73, 8600, 8919, 292, 2203, 396, 36238, 84, 6151, 13, 203, 32910, 5750, 292, 331, 299, 26646, 203, 3268, 4063, 666, 22892, 292, 3841, 4636, 69, 203, 203, 1987, 203, 203, 3257, 2477, 4327, 11301, 1637, 292, 225, 88, 76, 73, 22551, 6402, 380, 405, 292, 331, 299, 26646, 203, 22551, 2732, 80, 1941, 292 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3841, 4636, 69, 396, 36238, 84, 6151, 16, 15922, 13, 203, 203, 3268, 4063, 666, 45839, 10012, 291, 15922, 203, 19584, 4057, 3178, 291, 225, 88, 76, 73, 1583, 88, 76, 3503, 203, 44311, 9489, 431, 16824, 203, 26457, 282, 16703, 291, 13662, 84, 6151, 203, 46, 72, 471, 3150, 76, 5127, 203, 3268, 4063, 666, 45839, 14556, 282, 16703, 203, 44311, 3500, 291, 2116, 12979, 2, 0, 16178, 30081, 783, 3188, 286, 30, 203, 203, 16178, 30081, 396, 37611, 262, 16, 3157, 18255, 13, 396, 32454, 1180, 16810, 873, 2764, 12796, 203, 16178, 30081, 396, 16745, 12796, 13, 396, 1758, 8285, 1180, 31394, 873, 5070, 4105, 12796, 203, 16178, 16591, 30081, 396, 32795, 1180, 19554, 873, 34209, 625, 301, 3378, 203, 16178, 6949, 30081, 396, 1758, 4425, 1180, 29747, 873, 3194, 8082, 292, 8572, 326, 30284, 16, 20718, 203, 16178, 378, 18, 30081, 396, 1758, 9946, 1180, 29465, 873, 1644, 4166, 203, 16178, 351, 18, 30081, 396, 5768, 3467, 13, 396, 44634, 1180, 21029, 873, 1644, 4166, 203, 16178, 30081, 396, 72, 6507, 33511, 13, 396, 1758, 4457, 1180, 49591, 873, 1727, 20193, 203, 16178, 332, 18, 30081, 396, 3640, 15894, 873, 1644, 9696, 291, 225, 88, 76, 73, 1627, 292, 4941, 203, 16178, 30081, 396, 44467, 295, 13, 396, 42823, 1180, 23181, 873, 7682, 292, 2764, 203, 43, 18, 331, 18, 30081, 396, 16178, 6130, 30081, 16, 32790, 1180, 28860, 873, 3194, 953, 15648, 16, 25797, 5370, 16, 290, 2411, 203, 203, 3591, 568, 203, 16178, 351, 18, 30081, 396, 20404, 13, 2, 0, 62, 281, 49508, 3536, 424, 3188, 286, 30, 203, 62, 281, 9587, 4030, 84, 13885, 90, 1538, 1538, 77, 82, 3536, 16, 2775, 1946, 88, 76, 17, 4577, 1220, 17, 82, 401, 24935, 3271, 2181, 3042, 2558, 291, 577, 510, 4910, 16, 25765, 203, 43, 7402, 469, 466, 1012, 16, 2775, 1148, 88, 76, 17, 4577, 4574, 17, 13470, 21031, 1047, 40144, 1428, 17, 1373, 354, 396, 25913, 870, 13, 3042, 2558, 715, 2573, 1343, 281, 13753, 291, 225, 88, 76, 73, 27602, 328, 79, 9879, 292, 25765, 2, 0, 32231, 35883, 1343, 281, 2473, 396, 3640, 832, 1589, 11488, 291, 16454, 13098, 9385, 13, 318, 225, 69, 37496, 17, 14211, 7063, 18, 203, 203, 30366, 203, 203, 12158, 225, 203, 18988, 430, 622, 225, 88, 13584, 79, 30091, 40194, 2467, 285, 203, 16117, 10902, 27515, 203, 13398, 12198, 11156, 18070, 225, 88, 76, 73, 3829, 203, 12891, 2427, 203, 12891, 42121, 12463, 203, 10592, 9925, 70, 2467, 285, 203, 10592, 3614, 700, 34196, 203, 203, 6977, 225, 203, 17802, 17, 12721, 316, 13584, 48944, 774, 6065, 16, 1254, 1379, 772, 4558, 7382, 203, 17290, 16576, 425, 697, 319, 5011, 72, 675, 203, 17290, 21291, 422, 203, 16810, 7439, 17430, 1828, 11356, 5290, 351, 718, 203, 15786, 43470, 286, 10073, 21984, 272, 36746, 203, 15490, 21291, 422, 203, 15490, 1043, 814, 291, 6574, 428, 12065, 203, 15490, 17, 10592, 7439, 1294, 25631, 5484, 866, 203, 14646, 43470, 26427, 272, 4585, 203, 12891, 7439, 556, 1480, 303, 203, 13452, 2699, 300, 287, 14337, 1065, 308, 203, 12891, 225, 203, 12891, 319, 9025, 51, 848, 37515, 203, 12353, 1078, 334, 14345, 30850, 270, 893, 203, 12353, 17, 11831, 11464, 354, 27550, 203, 11831, 45878, 23157, 91, 7382, 203, 11283, 8608, 347, 11192, 25076, 203, 11283, 43470, 8503, 29726, 2303, 36005, 203, 11283, 11464, 354, 296, 84, 994, 774, 556, 7078, 707, 75, 2303, 322, 38994, 16, 2534, 694, 30, 11905, 78, 17883, 75, 364, 6634, 203, 11283, 17, 10592, 5723, 270, 8906, 425, 203, 10427, 5723, 270, 8906, 425, 774, 17661, 809, 27113, 5510, 689, 40, 57, 15529, 4181, 5474, 41, 428, 17047, 56, 6, 203, 203, 48252, 225, 203, 18313, 3584, 4596, 478, 6713, 1323, 291, 689, 33000, 27747, 6, 774, 39277, 6517, 10026, 24892, 33836, 203, 18313, 774, 17802, 26742, 1555, 75, 3256, 697, 10865, 29424, 13647, 68, 87, 29292, 80, 82, 203, 16324, 3022, 27343, 16, 2850, 38244, 77, 16, 11992, 262, 16, 1254, 19299, 16, 556, 701, 1483, 296, 322, 8977, 18, 69, 18, 291, 689, 12758, 8967, 377, 6, 774, 13647, 291, 5290, 1895, 446, 14909, 45283, 75, 588, 270, 203, 16117, 2927, 4142, 291, 689, 38, 4072, 945, 6, 774, 374, 34542, 13647, 203, 16117, 428, 1533, 291, 689, 58, 1739, 5456, 476, 6, 774, 374, 34542, 13647, 2030, 5526, 426, 374, 11051, 334, 2311, 17, 521, 683, 29292, 80, 82, 203, 11831, 6110, 876, 262, 16, 13275, 348, 93, 373, 16, 361, 13584, 1323, 2019, 1896, 8977, 18, 69, 18, 291, 689, 33000, 22044, 13457, 7741, 5549, 6, 774, 10865, 29424, 13647, 29292, 80, 82, 203, 10427, 46697, 16, 351, 455, 419, 273, 16, 28663, 14337, 8977, 18, 69, 18, 291, 689, 5773, 2476, 272, 46697, 6, 358, 87, 2850, 718, 5436, 1067, 11134, 774, 361, 5011, 76, 425, 5290, 556, 5797, 82, 29292, 80, 82, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 16679, 9599, 203, 203, 24004, 4686, 203, 6004, 717, 203, 5013, 423, 16454, 13098, 9385, 203, 14211, 717, 292, 12504, 12107, 203, 14211, 4062, 1782, 7907, 203, 14211, 4062, 3232, 7907, 203, 14211, 4062, 4239, 7907, 203, 35780, 4062, 1782, 7907, 203, 35780, 4062, 3232, 7907, 203, 35780, 4062, 4239, 7907, 2, 0, 521, 25620, 3408, 1583, 12721, 396, 4665, 6443, 94, 18, 314, 16, 271, 18, 377, 13, 385, 279, 3408, 292, 225, 88, 76, 73, 8572, 292, 3994, 18, 409, 3408, 25976, 1342, 19035, 1059, 658, 225, 88, 76, 73, 2184, 292, 22576, 596, 6449, 286, 3818, 3536, 31, 31410, 1761, 286, 502, 225, 88, 76, 73, 1150, 31, 13010, 7296, 9141, 314, 526, 7704, 291, 6556, 6403, 31, 290, 596, 5801, 33367, 6556, 5940, 18, 409, 3408, 385, 271, 10897, 545, 291, 225, 88, 76, 73, 4368, 292, 2720, 5357, 18, 225, 996, 16, 819, 45143, 16, 544, 979, 449, 19883, 291, 225, 88, 76, 73, 1358, 1220, 2039, 16, 544, 703, 339, 44689, 423, 3994, 7753, 18, 409, 3408, 35115, 1059, 596, 4563, 70, 7413, 661, 308, 1251, 4576, 1537, 326, 760, 1285, 7513, 18, 409, 3408, 5586, 345, 357, 703, 2554, 786, 2736, 720, 225, 88, 76, 73, 991, 292, 225, 88, 76 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 73, 1358, 4064, 292, 8572, 18, 1790, 16, 225, 88, 76, 73, 3408, 385, 1146, 291, 1664, 291, 1958, 12872, 16, 650, 2212, 17296, 5853, 385, 3867, 290, 17728, 326, 40744, 282, 845, 286, 357, 18, 203, 203, 36182, 1320, 225, 88, 76, 73, 991, 292, 1958, 3819, 16, 1154, 225, 88, 76, 73, 1461, 6482, 22449, 16, 8572, 4361, 225, 69, 5042, 326, 4983, 3992, 225, 88, 76, 73, 3408, 18, 1790, 16, 325, 225, 88, 76, 73, 927, 292, 225, 88, 76, 73, 657, 281, 533, 5740, 292, 8572, 396, 1537, 2494, 1958, 13604, 873, 650, 225, 88, 76, 73, 5042, 9536, 286, 427, 652, 4650, 286, 6130, 3299, 286, 1151, 16, 458, 21948, 225, 88, 76, 73, 28513, 292, 225, 88, 76, 73, 13932, 286, 8989, 225, 88, 76, 73, 5042, 18, 203, 203, 1624, 2775, 359, 1958, 13269, 225, 88, 76, 73, 838, 385, 961, 1013, 1584, 225, 69, 44162, 2945, 291, 1866, 4742, 267, 747, 11, 3568, 396, 4742, 301, 2615, 1215, 3568, 873, 3023, 18, 203, 203, 9824, 203, 203, 6657, 375, 292, 225, 88, 76, 73, 8572, 292, 3994, 9129, 9214, 203, 2173, 12721, 291, 1690, 203, 2173, 12721, 291, 3994, 203, 2173, 12721, 291, 17342, 2, 0, 50, 284, 78, 293, 9069, 318, 6951, 431, 225, 88, 76, 73, 2661, 303, 699, 286, 427, 652, 225, 88, 76, 73, 2974, 292, 519, 27554, 40259, 16, 19898, 358, 17, 22320, 7814, 18, 1728, 2420, 318, 928, 286, 427, 652, 1193, 4948, 28370, 431, 522, 3223, 16, 45156, 358, 17, 16724, 2829, 16, 524, 292, 4969, 292, 38070, 333, 32249, 359, 544, 9039, 286, 10059, 279, 3855, 1103, 292, 225, 88, 76, 73, 39351, 40259, 16, 5334, 19186, 21673, 4184, 359, 225, 69, 4289, 1409, 18, 1979, 225, 88, 76, 73, 2371, 292, 522, 3223, 291, 32819, 36232, 396, 28, 10530, 17, 28, 10559, 16982, 873, 358, 17, 22320, 7814, 318, 6951, 431, 225, 88, 76, 73, 2661, 303, 699, 286, 427, 6291, 225, 69, 1627, 292, 43808, 342, 573, 4774, 1535, 522, 5880, 291, 225, 88, 76, 73, 991, 292, 595, 286, 3847, 4304, 290, 7576, 325, 5301, 18, 409, 6489, 292, 15533, 78, 293, 318, 4997, 359, 225, 88, 76, 73, 28239, 19364, 388, 428, 523, 567, 290, 633, 21624, 318, 6951, 286, 339, 2558, 291, 225, 88, 76, 73, 358, 17, 16724, 2829, 30291, 291, 35047, 1428, 16, 9662, 18, 203, 203, 34754, 3942, 225, 203, 21806, 519, 5850, 16, 225, 88, 76, 73, 23165, 290, 39351, 319, 6224, 4298, 1811, 396, 25481, 358, 17, 44, 8978, 290, 45156, 358, 17, 16724, 2829, 16, 9450, 13, 643, 2404, 811, 2405, 17071, 291, 225, 88, 76, 73, 36522, 2364, 292, 35047, 1428, 431, 225, 88, 76, 73, 38070, 1757, 16, 596, 371, 1541, 4246, 291, 319, 6224, 5178, 326, 28833, 225, 88, 76, 73, 797, 4298, 1811, 18, 1563, 203, 42934, 286, 225, 88, 76, 73, 23165, 40259, 16, 225, 88, 76, 73, 38070, 333, 358, 17, 46166, 560, 32158, 299, 8945, 2880, 26327, 225, 88, 76, 73, 319, 6224, 16, 14567, 1966, 286, 225, 69, 16404, 1343, 328, 7814, 9867, 18, 409, 32587, 6106, 292, 358, 17, 46166, 560, 32158, 299, 2986, 225, 88, 76, 73, 23165, 40259, 643, 1708, 8367, 431, 522, 3198, 16, 358, 17, 32517, 985, 321, 333, 16, 596, 318, 4001, 286, 427, 4325, 225, 88, 76, 73, 39351, 40259, 811, 1577, 6658, 1342, 654, 5177, 18, 6466, 16, 358, 17, 16724, 2829, 318, 1712, 286, 427, 6069, 25692, 346, 522, 9855, 754, 225, 69, 2774, 292, 10392, 18, 10067, 624, 385, 8214, 33081, 35323, 8946, 11, 333, 16, 596, 318, 928, 286, 427, 40611, 3544, 359, 225, 69, 13161, 292, 6270, 4301, 286, 3307, 225, 88, 76, 73, 38070, 333, 8007, 16, 11175, 522, 21890, 358, 17, 13448, 1010, 18, 16841, 267, 349, 382, 8407, 345, 803, 8753, 643, 4265, 325, 358, 17, 16724, 2829, 952, 225, 88, 76, 73, 2326, 546, 19817, 644, 1303, 286, 688, 581, 11171, 2196, 225, 88, 76, 73, 319, 6224, 13572, 16, 31809, 345, 225, 88, 76, 73, 39351, 40259, 703, 3223, 225, 88, 76, 73, 4122, 324, 3034, 8121, 7814, 18, 203, 203, 16417, 292, 358, 17, 16724, 2829, 225, 203, 2282, 17, 16724, 2829, 3904, 291, 32819, 396, 28, 10530, 17, 28, 10559, 13, 1342, 279, 6911, 21460, 18, 31429, 819, 225, 88, 76, 73, 2371, 292, 225, 88, 76, 73, 39351, 40259, 16, 522, 1179, 8886, 16, 8214, 33081, 35323, 8946, 11, 333, 16, 8021, 345, 225, 88, 76, 73, 40259, 644, 279, 17859, 3198, 16, 3249, 19898, 16, 596, 385, 4325, 7513, 423, 225, 88, 76, 73, 1502, 524, 292, 4969, 292, 38070, 333, 32249, 16, 359, 544, 9039, 286, 10059, 279, 3855, 1103, 292, 358, 17, 16724, 2829, 16, 5334, 19186, 21673, 4184, 359, 225, 69, 4289, 1409, 18, 8214, 33081, 568, 8021, 345, 458, 644, 652, 6568, 286, 2432, 19898, 16, 596, 318, 543, 7169, 1712, 359, 19898, 358, 17, 22320, 7814, 31220, 1563, 203, 11801, 225, 88, 76, 73, 12971, 10935, 292, 358, 17, 16724, 2829, 16, 8214, 33081, 526, 865, 44463, 643, 8052, 6241, 431, 609, 10392, 292, 358, 17, 16724, 2829, 18, 7105, 596, 6241, 225, 88, 76, 73, 1023, 321, 405, 292, 442, 19898, 1708, 5401, 225, 88, 76, 73, 2661, 303, 699, 18, 409, 609, 793, 375, 2267, 658, 225, 88, 76, 73, 21424, 292, 358, 17, 16724, 2829, 15599, 1434, 225, 69, 4110, 806, 18, 203, 203, 27395, 634, 342, 225, 203, 22675, 2483, 225, 69, 2223, 292, 581, 31253, 806, 16, 1708, 28553, 225, 88, 76, 73, 17646, 13514, 634, 342, 19627, 32819, 17, 23, 4457, 36232, 16, 1188, 10559, 1180, 29, 7272, 16982, 873, 1154, 573, 357, 318, 6951, 345, 1560, 27171, 8007, 7167, 19898, 358, 17, 22320, 7814, 16, 225, 88, 76, 73, 27554, 40259, 18, 409, 5837, 6554, 16, 358, 17, 13448, 284, 417, 16, 318, 928, 286, 427, 2524, 225, 69, 4964, 423, 19898, 358, 17, 22320, 7814, 9805, 981, 522, 2371, 291, 1260, 7272, 16982, 18, 409, 4964, 16647, 225, 88, 76, 73, 2371, 292, 358, 17, 13448, 284, 417, 291, 2701, 1477, 290, 3823, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 88, 76, 73, 3352, 292, 225, 88, 76, 73, 2315, 43808, 342, 16, 1708, 1740, 225, 88, 76, 73, 9198, 13514, 634, 342, 16, 573, 4774, 286, 442, 927, 18, 409, 4964, 16, 359, 11152, 286, 19898, 358, 17, 22320, 7814, 16, 2657, 345, 225, 88, 76, 73, 2315, 43808, 342, 703, 2554, 1535, 2203, 8740, 950, 9443, 286, 14834, 3544, 1001, 291, 225, 69, 595, 650, 225, 88, 76, 73, 5301, 703, 339, 5162, 346, 1197, 47853, 18, 203, 203, 13870, 225, 203, 32517, 14955, 358, 17, 22320, 7814, 318, 928, 286, 427, 652, 3157, 286, 15533, 78, 293, 16, 1155, 629, 5178, 1422, 633, 1565, 10832, 359, 319, 9171, 261, 16, 7791, 12100, 16, 13669, 85, 274, 16, 290, 4210, 321, 18, 409, 724, 1220, 371, 4590, 292, 5879, 18, 1099, 225, 69, 17972, 16, 1059, 4590, 643, 2648, 2123, 286, 633, 431, 633, 4372, 16, 29697, 8676, 48934, 367, 16, 291, 4446, 346, 225, 88, 76, 73, 2651, 292, 225, 88, 76, 73, 927, 16, 1027, 13669, 85, 274, 1380, 427, 652, 633, 1229, 1565, 18, 203, 203, 41087, 1563, 203, 521, 6489, 292, 15533, 78, 293, 318, 4997, 431, 629, 5178, 359, 225, 88, 76, 73, 28239, 19364, 388, 428, 523, 567, 18, 409, 12944, 2047, 581, 633, 6489, 318, 2123, 431, 40804, 11838, 7407, 76, 20729, 1653, 325, 225, 69, 6017, 292, 7704, 3173, 286, 361, 562, 86, 35323, 23659, 328, 1010, 358, 17, 50, 10643, 79, 5136, 18, 5502, 286, 442, 2047, 16, 15533, 78, 293, 385, 225, 69, 17972, 16, 5287, 1193, 4948, 431, 279, 6554, 292, 358, 17, 44, 8978, 16, 596, 644, 6405, 431, 585, 726, 28195, 575, 291, 633, 225, 88, 76, 73, 1924, 2974, 292, 358, 17, 22320, 7814, 18, 738, 290, 225, 88, 76, 73, 5936, 5983, 292, 14490, 30492, 290, 31574, 77, 7651, 15533, 78, 293, 359, 225, 69, 8779, 3891, 17, 21260, 292, 225, 88, 76, 73, 28239, 22162, 290, 225, 69, 283, 747, 3259, 596, 4148, 581, 633, 1924, 7970, 346, 358, 17, 16724, 2829, 291, 225, 69, 4200, 18, 1783, 5983, 427, 652, 4184, 359, 289, 12915, 8022, 18, 1563, 203, 37958, 3315, 225, 88, 76, 73, 3825, 2047, 318, 225, 88, 76, 73, 554, 2123, 431, 358, 17, 49, 1717, 333, 20729, 596, 10626, 345, 15533, 78, 293, 385, 225, 69, 17972, 16, 3157, 290, 4895, 291, 225, 88, 76, 73, 1577, 292, 29697, 8676, 48934, 367, 16, 4159, 292, 358, 17, 46, 560, 317, 396, 88, 76, 73, 19255, 40259, 13, 290, 38591, 21602, 292, 358, 17, 16724, 2829, 18, 15533, 78, 293, 385, 2123, 291, 5993, 286, 358, 17, 16724, 2829, 431, 522, 3223, 16, 358, 17, 44, 8978, 16, 650, 225, 88, 76, 73, 2677, 385, 581, 7191, 17, 15056, 806, 1367, 18, 203, 203, 26915, 292, 19898, 358, 17, 22320, 7814, 225, 203, 5104, 303, 336, 5178, 1891, 345, 225, 88, 76, 73, 3198, 292, 358, 17, 16724, 2829, 385, 3157, 286, 522, 3564, 16, 15533, 78, 293, 16, 1060, 45029, 396, 28, 9820, 859, 731, 385, 3249, 17488, 358, 17, 53, 48966, 19898, 16, 225, 88, 76, 73, 1150, 1565, 290, 225, 359, 225, 88, 76, 73, 12312, 35786, 16, 1155, 458, 318, 543, 7169, 1712, 359, 19898, 358, 17, 22320, 7814, 18, 1728, 2420, 7206, 318, 2123, 10832, 16, 517, 745, 5178, 2471, 286, 5536, 325, 1583, 21627, 11, 3507, 16, 573, 318, 9858, 431, 225, 88, 76, 73, 319, 6224, 326, 442, 5560, 18, 409, 7639, 291, 803, 5983, 427, 652, 16686, 286, 358, 17, 16724, 2829, 526, 9139, 286, 9491, 225, 88, 76, 73, 2420, 292, 522, 3198, 423, 225, 88, 76, 73, 38070, 1757, 18, 203, 203, 521, 2420, 292, 358, 17, 22320, 7814, 318, 1541, 4809, 291, 2661, 303, 336, 5178, 286, 225, 88, 76, 73, 2420, 292, 21810, 291, 225, 88, 76, 73, 38206, 16, 596, 385, 30003, 17640, 8151, 423, 225, 88, 76, 73, 1470, 43868, 18, 1099, 225, 69, 1103, 40259, 16, 358, 17, 22320, 7814, 318, 568, 1541, 4809, 291, 2661, 303, 336, 5178, 286, 5194, 16, 1364, 1119, 371, 10728, 359, 225, 88, 76, 73, 7446, 292, 2203, 9069, 290, 1119, 7792, 346, 225, 88, 76, 73, 7704, 292, 279, 5679, 1027, 1146, 225, 69, 1103, 18, 203, 203, 521, 12944, 2047, 292, 522, 2420, 318, 2123, 431, 40804, 11838, 7407, 76, 325, 225, 88, 76, 73, 7704, 292, 29697, 8676, 48934, 367, 16, 225, 69, 2405, 9703, 596, 385, 2404, 291, 864, 22898, 431, 225, 88, 76, 73, 23165, 290, 39351, 4298, 1811, 18, 409, 2047, 9616, 345, 225, 88, 76, 73, 9999, 292, 15533, 78, 293, 30003, 17640, 644, 786, 3287, 5649, 16, 2608, 286, 21810, 11, 2974, 16, 290, 345, 29697, 8676, 48934, 367, 385, 3459, 291, 359, 45584, 770, 650, 225, 88, 76, 73, 2420, 385, 1966, 18, 2776, 442, 290, 2608, 5983, 371, 289, 12915, 8022, 291, 3263, 16, 544, 2471, 286, 2992, 345, 225, 88, 76, 73, 9999, 292, 15533, 78, 293, 290, 2420, 292, 522, 3198, 643, 21304, 28370, 18, 203, 203, 521, 2661, 303, 336, 5983, 771, 345, 16, 6337, 326, 225, 69, 1162, 9444, 18458, 16, 225, 88, 76, 73, 8016, 292, 358, 17, 22320, 7814, 385, 4325, 4939, 1364, 225, 88, 76, 73, 38070, 1757, 9039, 286, 10059, 225, 88, 76, 73, 3198, 292, 358, 17, 16724, 2829, 16, 5334, 19186, 21673, 4184, 359, 225, 69, 4289, 1409, 18, 46021, 10626, 345, 225, 88, 76, 73, 17859, 1381, 427, 652, 2632, 286, 38254, 16, 827, 358, 17, 16724, 2829, 526, 2974, 5044, 18, 601, 318, 568, 1712, 345, 358, 17, 16724, 2829, 1736, 522, 4463, 286, 522, 2974, 16, 13205, 338, 18, 40853, 17, 49, 4636, 36725, 290, 46021, 2992, 345, 442, 385, 1378, 27216, 431, 358, 17, 16724, 2829, 286, 9491, 225, 88, 76, 73, 2420, 292, 522, 3198, 30, 291, 319, 6224, 11287, 293, 1066, 45899, 20729, 811, 1845, 3189, 16, 225, 88, 76, 73, 2974, 318, 225, 88, 76, 73, 7002, 8631, 2331, 691, 225, 88, 76, 73, 19535, 318, 1103, 1363, 18, 203, 203, 2856, 225, 88, 76, 73, 2371, 292, 358, 17, 16724, 2829, 225, 203, 521 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
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
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 12316, 658, 286, 34536, 290, 14141, 3817, 3625, 286, 13660, 225, 69, 2711, 16, 28467, 16702, 33978, 25981, 4085, 2409, 18, 18572, 848, 385, 225, 88, 76, 73, 1367, 1637, 292, 781, 1000, 16702, 4804, 3757, 290, 225, 69, 378, 3724, 1848, 16, 517, 357, 385, 14070, 41763, 781, 1000, 3010, 290, 3716, 286, 8057, 787, 18, 203, 203, 31977, 203, 203, 1759, 1000, 16702, 9779, 203, 203, 50, 277, 46829, 4368, 203, 203, 26673, 203, 6005, 286, 225, 88, 76, 73, 2489, 431, 17, 71, 6914, 16, 781, 1000, 16702, 9779, 644, 225, 69, 3650, 292, 1188, 16, 5210, 27, 1027, 44173, 46829, 4368, 644, 225, 69, 3650, 292, 685, 16, 28, 2455, 18, 995, 12615, 225, 88, 76, 73, 3650, 8422, 286, 1519, 16, 6036, 23, 18, 203, 203, 29661, 203, 1759, 1000, 16702, 9779, 290, 44173, 46829, 4368, 371, 2558, 291, 781, 1000, 16702, 20383, 292, 225, 88, 76, 73, 21743, 382, 11872, 277, 4010, 3721, 18, 601, 385, 12989, 7167, 431, 7300, 26661, 6256, 89, 17, 5114, 16, 596, 385, 6413, 291, 225, 88, 76, 73, 2153, 8690, 1535, 1589, 1910, 18, 203, 203, 13480, 203, 1759, 1000, 16702, 318, 291, 14117, 2060, 30258, 396, 14954, 37, 13, 1925, 3933, 10528, 16, 573, 2626, 3080, 26852, 3621, 396, 13250, 87, 8001, 13966, 292, 225, 88, 76, 73, 2151, 517, 11643, 346, 2151, 1621, 5507, 7049, 292, 225, 88, 76, 73, 3621, 291, 225, 88, 76, 73, 1975, 371, 2151, 3621, 18, 203, 203, 3591, 568, 203, 203, 11348, 5896, 25974, 291, 21743, 382, 36671, 203, 203, 1987, 203, 203, 47, 91, 382, 36671, 203, 11348, 5896, 25974, 291, 8199, 7828, 203, 32106, 4700, 3500, 291, 10842, 203, 32106, 4700, 3500, 291, 4597, 203, 32106, 4700, 3500, 291, 4109, 2, 0, 47, 311, 89, 9412, 3505, 318, 225, 69, 9412, 3505, 325, 225, 88, 76, 73, 25124, 94, 700, 9412, 18, 601, 6278, 23123, 89, 290, 318, 2558, 36000, 3059, 7748, 423, 2128, 9252, 9412, 3505, 18, 203, 203, 3591, 568, 203, 7521, 292, 6463, 325, 25124, 94, 700, 9412, 203, 203, 23224, 6463, 291, 25124, 23583, 203, 1744, 587, 325, 225, 88, 76, 73, 25124, 23583, 1180, 56, 46673, 11583, 2, 0, 14940, 7040, 328, 425, 396, 2173, 6188, 696, 2209, 3275, 16, 1958, 7055, 13, 385, 225, 69, 8833, 1502, 4429, 291, 1946, 88, 76, 17, 4577, 6938, 16, 9318, 18, 731, 795, 17, 21608, 225, 88, 76, 73, 19150, 290, 47575, 26766, 4108, 292, 9318, 290, 3220, 359, 8863, 292, 225, 88, 76, 73, 3010, 292, 225, 88, 76, 73, 9318, 4138, 4368, 18, 7040, 328, 425, 385, 225, 69, 29102, 3023, 16635, 596, 3989, 522, 6552, 8888, 285, 555, 291, 6938, 827, 458, 2387, 225, 69, 15241, 18, 225, 731, 385, 11601, 292, 19012, 932, 4847, 16, 290, 3459, 981, 225, 88, 76, 73, 21795, 16, 225, 88, 76, 73, 9318, 4138, 4368, 18, 225, 601, 1100, 7040, 328, 425, 11959, 16, 35115, 950, 16, 290, 25450, 950, 286, 24735, 522, 689, 87, 1448, 1556, 225, 731, 29060, 522, 30608, 16, 290, 25189, 522, 5148, 291, 17817, 3301, 291, 522, 459, 18, 225, 601, 339, 3673, 34890, 4576, 49727, 286, 6938, 16, 286, 8870, 225, 88, 76, 73, 6302, 346, 279, 14607, 282, 1603, 16, 17012, 225, 88, 76, 73, 1830, 526, 4436, 16, 290, 1938, 225, 88, 76, 73, 3440, 6350, 17, 17386, 16, 225, 69, 3891, 1502, 2945, 1128, 18, 225, 731, 7341, 225, 69, 1991, 286, 225, 88, 76, 73, 1664, 345, 225, 88, 76, 73, 339, 8340, 703, 1620, 19092, 691, 660, 643, 654, 3497, 5148, 1584, 522, 4463, 31, 660, 643, 7049, 18, 203, 203, 15731, 1563, 203, 20997, 328, 425, 385, 3157, 291, 23170, 16, 3994, 291, 1583, 6188, 18, 1728, 3223, 16, 2212, 7040, 328, 425, 16, 2406, 359, 225, 69, 32872, 18, 2776, 2354, 291, 3023, 16, 7040, 328, 425, 2404, 6677, 291, 225, 88, 76, 73, 31995, 545, 26766, 4108, 290, 225, 88, 76, 73, 31654, 8379, 526, 4108, 18, 731, 568, 4325, 5189, 291, 522, 2879, 4272, 292, 42695, 39483, 1958, 4219, 17, 2455, 4309, 431, 2212, 21359, 16, 2212, 9173, 16, 12739, 13879, 16, 290, 2212, 40346, 18, 203, 203, 829, 1958, 2419, 7040, 328, 425, 4308, 10664, 37399, 31, 544, 644, 225, 69, 3198, 16, 16384, 7040, 328, 425, 16, 291, 1958, 916, 18, 203, 203, 20997, 328, 425, 290, 522, 1201, 5459, 291, 6938, 423, 3023, 291, 1958, 4665, 325, 225, 88, 76, 73, 2913, 18531, 18, 225, 557, 6938, 16, 458, 2406, 359, 225, 69, 16245, 16, 290, 4325, 225, 69, 2233, 325, 2361, 3568, 16, 689, 14899, 291, 13616, 15680, 16, 359, 385, 225, 88, 76, 73, 1402, 291, 1059, 1631, 1556, 203, 203, 2177, 19498, 286, 225, 88, 76, 73, 3440, 3536, 17487, 16, 290, 4325, 5189, 291, 522, 2879, 4272, 292, 42695, 39483, 431, 2212, 9173, 16, 5442, 34232, 311, 16, 290, 2212, 21359, 16, 596, 644, 3230, 286, 6938, 291, 1958, 5234, 18, 203, 203, 829, 1958, 5959, 16, 458, 385, 1100, 11959, 290, 35115, 926, 9010, 431, 225, 69, 8888, 22453, 3696, 326, 658, 33171, 2024, 18, 225, 2519, 1660, 526, 4029, 2744, 4728, 458, 703, 427, 652, 22144, 48341, 72, 290, 3141, 18, 225, 1456, 225, 88, 76, 73, 595, 16, 458, 3752, 285, 1440, 339, 91, 10554, 689, 419, 271, 679, 26117, 290, 24200, 2328, 2670, 517, 25189, 3544, 383, 4980, 291, 522, 459, 18, 203, 203, 829, 1958, 5831, 16, 458, 3682, 286, 3847, 225, 88, 76, 73, 19150, 290, 47575, 26766, 4108, 292, 9318, 16, 5050, 359, 724, 9939, 18, 203, 203, 2177, 3220, 359, 2364, 12671, 1010, 326, 1579, 806, 31, 290, 359, 225, 69, 8886, 286, 225, 88, 76, 73, 225, 9318, 4138, 4368, 16, 961, 6568, 3010, 18479, 291, 1958, 6427, 18, 203, 203, 20997, 328, 425, 1736, 225, 69, 9727, 17, 7910, 459, 16, 8224, 225, 69, 2080, 292, 5974, 16, 573, 15131, 1736, 1579, 4110, 9010, 286, 3847, 225, 88, 76, 73, 3440, 6350, 17, 17386, 16, 225, 69, 1848, 286, 689, 1270, 1013, 431, 225, 88, 76, 73, 2364, 290, 6820, 2151, 290, 339, 4034, 431, 225, 88 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 76, 73, 4223, 1250, 16, 346, 10003, 326, 225, 69, 1297, 290, 46332, 1689, 431, 1556, 4374, 620, 277, 325, 225, 88, 76, 73, 659, 326, 225, 69, 4434, 1297, 16, 458, 3972, 30, 203, 203, 45, 1597, 941, 2004, 290, 3285, 225, 88, 76, 73, 813, 292, 629, 3046, 1228, 292, 1502, 2099, 1741, 573, 783, 449, 339, 770, 381, 391, 747, 16, 517, 823, 13259, 290, 4189, 326, 225, 88, 76, 73, 6350, 292, 6938, 16, 359, 225, 69, 1297, 1128, 4466, 4189, 326, 225, 88, 76, 73, 1868, 717, 345, 1303, 346, 519, 15450, 326, 225, 88, 76, 73, 3760, 292, 225, 88, 76, 73, 4924, 425, 16, 345, 544, 783, 427, 225, 69, 1128, 286, 6619, 3652, 291, 290, 3441, 73, 16, 1119, 291, 4065, 394, 4125, 290, 5338, 702, 3928, 16, 290, 783, 427, 225, 69, 1128, 286, 2819, 519, 1348, 425, 388, 654, 609, 1228, 2703, 345, 544, 2968, 3289, 16, 8834, 544, 1303, 1001, 16, 573, 703, 339, 1119, 279, 16834, 286, 1303, 291, 290, 225, 69, 891, 1817, 286, 2688, 6987, 291, 225, 88, 76, 73, 14482, 425, 568, 18, 203, 203, 20997, 328, 425, 3904, 291, 1958, 7055, 290, 318, 11002, 291, 225, 88, 76, 73, 2938, 526, 16581, 3917, 1255, 15657, 827, 225, 69, 21200, 504, 652, 3138, 14125, 286, 522, 10767, 21262, 23094, 18, 6480, 13927, 21200, 16, 4265, 291, 18255, 16, 15877, 7040, 328, 425, 291, 8758, 6938, 16, 325, 225, 88, 76, 73, 5058, 292, 2361, 290, 4365, 26184, 18, 4313, 602, 325, 225, 88, 76, 73, 724, 4886, 291, 2262, 225, 88, 76, 73, 19150, 290, 47575, 26766, 4108, 5156, 225, 69, 34255, 286, 225, 88, 76, 73, 28986, 576, 16, 16248, 225, 69, 37356, 291, 7040, 328, 425, 526, 4923, 18, 203, 203, 1987, 203, 203, 9758, 2576, 1563, 361, 2756, 82, 16, 16939, 18, 689, 521, 1827, 900, 567, 292, 5358, 7040, 328, 425, 1556, 5169, 290, 4210, 34791, 225, 396, 21009, 4922, 848, 9820, 17, 7096, 27, 18, 291, 478, 2640, 2662, 203, 14180, 94, 468, 16, 8402, 18, 5358, 393, 18, 409, 4366, 4117, 290, 1838, 1108, 6959, 2812, 396, 61, 1081, 1495, 5362, 16, 2855, 13, 203, 203, 3257, 2477, 9664, 203, 5013, 423, 15180, 6938, 203, 48850, 292, 225, 88, 76, 73, 9318, 3010, 292, 14776, 203, 4387, 18782, 1131, 203, 2173, 6188, 4686, 203, 2455, 7055, 5850, 203, 2419, 88, 76, 3503, 291, 6938, 203, 40857, 291, 6938, 203, 5013, 423, 23170, 16, 34123, 203, 17243, 3562, 292, 3994, 29857, 286, 9318, 4254, 30873, 203, 2419, 88, 76, 17, 4577, 18782, 1131, 203, 12073, 467, 545, 26766, 4108, 7106, 2, 0, 53, 277, 23583, 4488, 9412, 3505, 318, 225, 69, 9412, 3505, 325, 225, 88, 76, 73, 25124, 94, 700, 9412, 18, 601, 6278, 25124, 23583, 4488, 290, 318, 2558, 40107, 3059, 7748, 423, 2128, 9252, 9412, 3505, 18, 203, 203, 3591, 568, 203, 7521, 292, 6463, 325, 25124, 94, 700, 9412, 203, 203, 23224, 6463, 291, 25124, 23583, 203, 1744, 587, 325, 225, 88, 76, 73, 25124, 23583, 1180, 56, 46673, 11583, 2, 0, 521, 4305, 3117, 21281, 292, 225, 69, 3023, 5915, 6706, 371, 42337, 292, 225, 69, 2677, 3023, 1015, 2448, 3055, 431, 1900, 18, 29846, 17217, 10098, 16, 811, 225, 88, 76, 73, 42012, 23521, 486, 5641, 18, 203, 203, 4379, 225, 88, 76, 73, 2779, 292, 5452, 286, 225, 88, 76, 73, 14728, 292, 4988, 23521, 42267, 633, 927, 17, 273, 17, 887, 11511, 325, 290, 706, 225, 88, 76, 73, 1962, 291, 225, 69, 2343, 21414, 18, 409, 11584, 643, 857, 3179, 698, 225, 88, 76, 73, 1184, 16, 291, 573, 23521, 14114, 775, 325, 225, 88, 76, 73, 21414, 12415, 290, 6180, 292, 708, 780, 2154, 225, 69, 5915, 6706, 18, 203, 203, 40617, 203, 521, 4305, 3117, 21281, 292, 225, 69, 3023, 5915, 6706, 5795, 346, 23521, 486, 5641, 13566, 6200, 359, 225, 69, 689, 3123, 399, 2995, 857, 2314, 13938, 345, 780, 1071, 449, 1940, 357, 20473, 1300, 16, 290, 345, 780, 8068, 318, 225, 69, 689, 3123, 399, 2656, 203, 203, 2856, 225, 88, 76, 73, 14947, 5600, 225, 88, 76, 73, 1184, 5795, 291, 225, 69, 21414, 5253, 16, 346, 23521, 13938, 225, 88, 76, 73, 2277, 780, 8056, 290, 633, 1797, 15301, 345, 1620, 906, 4386, 799, 346, 633, 1616, 359, 225, 69, 1015, 2448, 18, 409, 3661, 21414, 12415, 1172, 1308, 2736, 720, 225, 69, 2111, 290, 371, 1230, 9706, 346, 225, 88, 76, 73, 2777, 16, 573, 318, 3055, 291, 3395, 16, 326, 1953, 16, 225, 88, 76, 73, 724, 21414, 4854, 13485, 689, 55, 2531, 77, 16, 461, 377, 428, 679, 3714, 264, 2995, 573, 21721, 698, 4201, 16, 377, 2636, 18, 4313, 7904, 318, 6073, 5423, 431, 225, 88, 76, 73, 1285, 225, 88, 76, 73, 21414, 12415, 643, 3055, 291, 16, 326, 1953, 689, 50, 679, 3714, 264, 6, 396, 8209, 859, 203, 203, 5013, 5346, 291, 225, 88, 76, 73, 1184, 203, 38, 5477, 30, 409, 5103, 292, 409, 4305, 3117, 21281, 292, 225, 69, 3023, 5915, 6706, 18, 409, 1184, 8130, 7021, 325, 23521, 526, 969, 18, 203, 50, 30, 1294, 403, 17, 8602, 4643, 292, 23521, 526, 290, 633, 877, 1279, 18, 203, 521, 4651, 30, 23521, 526, 10990, 321, 16, 279, 12267, 3259, 16, 30716, 291, 3911, 290, 16825, 18, 203, 521, 6215, 30, 23521, 526, 14939, 16, 596, 318, 3293, 292, 633, 1616, 359, 225, 69, 1015, 2448, 18, 203, 203, 48504, 342, 203, 2346, 7794, 444, 385, 2267, 326, 33297, 22, 291, 3868, 1740, 6326, 33798, 292, 225, 69, 5915, 6706, 18, 409, 984, 6222, 41695, 32305, 359, 23521, 517, 568, 2719, 633, 2879, 969, 290, 633, 1797, 13127, 31, 291, 225, 88, 76, 73, 14441, 633, 1229, 1565, 318, 19460, 37350, 18, 409, 984, 504, 1364, 652, 15905, 291, 3146, 431, 5549, 2378, 18, 203, 203, 40, 41488, 203, 4664, 292, 225, 88, 76, 73, 4190, 291, 6326, 33798, 292, 225, 69, 5915, 6706, 427, 1046, 16597, 423, 519, 11476, 20808, 18, 428, 318, 4184, 359, 689, 88, 76, 73, 11204, 292, 479, 32830, 2995, 10698, 3571, 291, 6326 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 33798, 292, 225, 69, 5915, 6706, 1071, 449, 2471, 286, 1877, 442, 27026, 18, 409, 4651, 318, 4184, 359, 2655, 3329, 16, 290, 23521, 5272, 286, 427, 225, 69, 10140, 1796, 2168, 346, 633, 16, 2375, 21749, 16, 23521, 526, 10990, 321, 291, 6326, 33798, 16, 318, 225, 69, 40950, 3259, 596, 1541, 20604, 346, 23521, 18, 409, 6215, 5272, 286, 427, 786, 4239, 9736, 18, 409, 12971, 2449, 286, 409, 6215, 703, 339, 4621, 31, 2375, 225, 88, 76, 73, 2477, 1133, 225, 88, 76, 73, 797, 371, 7722, 2769, 8261, 18, 409, 2449, 292, 19460, 37350, 16, 596, 568, 3177, 811, 225, 88, 76, 73, 42012, 23521, 16, 4819, 823, 2405, 286, 225, 88, 76, 73, 2536, 15917, 292, 23521, 486, 5641, 291, 225, 88, 76, 73, 2929, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 39142, 15837, 203, 203, 9327, 1928, 17, 15534, 2929, 203, 11831, 1928, 17, 15534, 2929, 203, 14614, 17, 15534, 2929, 581, 3194, 37338, 203, 2793, 334, 7480, 291, 225, 88, 76, 73, 1851, 6248, 2, 0, 23152, 13529, 3445, 16931, 901, 396, 7065, 1872, 16, 32790, 696, 2382, 2272, 16, 14186, 13, 385, 225, 88, 76, 73, 2357, 88, 76, 16989, 11950, 4138, 292, 225, 88, 76, 73, 1851, 2198, 5349, 423, 18168, 286, 15556, 18, 203, 203, 9035, 969, 225, 203, 48784, 901, 385, 3157, 291, 23352, 16, 1063, 2229, 16, 291, 32790, 16, 290, 385, 225, 88, 76, 73, 3198, 292, 8087, 2446, 12319, 4806, 12807, 9198, 4138, 4426, 378, 18, 16931, 901, 290, 522, 3564, 16, 20869, 378, 582, 396, 22134, 966, 275, 1572, 13, 16931, 901, 18, 5794, 292, 522, 3029, 643, 24355, 292, 225, 88, 76, 73, 10198, 966, 275, 1572, 1201, 31, 522, 24922, 14233, 385, 37846, 290, 38493, 1495, 4115, 19728, 1291, 89, 3905, 10198, 966, 275, 1572, 31, 522, 38591, 891, 17, 20304, 10178, 385, 37846, 19728, 7804, 10198, 966, 275, 1572, 18, 1563, 203, 4075, 5597, 16, 25951, 13166, 10198, 966, 275, 1572, 16, 4308, 37846, 314, 1428, 40346, 16, 290, 522, 3845, 1776, 534, 82, 1291, 89, 3905, 16931, 901, 385, 225, 88, 76, 73, 33898, 2307, 8259, 291, 23142, 18, 731, 318, 568, 225, 69, 38061, 292, 5348, 10245, 10550, 293, 18, 1563, 203, 2177, 5801, 225, 88, 76, 73, 1851, 2198, 12342, 5029, 383, 2699, 8246, 16, 1063, 2229, 16, 13633, 291, 19976, 18, 203, 203, 10449, 225, 203, 48784, 901, 3220, 325, 29903, 8414, 346, 225, 88, 76, 73, 832, 88, 76, 17832, 14700, 396, 11871, 2198, 13, 383, 5218, 14139, 321, 694, 16, 19009, 326, 225, 88, 76, 73, 1358, 602, 290, 225, 69, 2333, 18, 9931, 225, 69, 2701, 2039, 11, 2819, 292, 11062, 16, 458, 9067, 522, 23404, 423, 225, 88, 76, 73, 5349, 286, 949, 1664, 2262, 377, 16, 27636, 18, 203, 203, 5270, 14628, 2039, 1708, 325, 2427, 1519, 16, 28166, 16, 16931, 901, 385, 26034, 25712, 286, 225, 88, 76, 73, 5349, 359, 225, 69, 721, 818, 578, 292, 4053, 16652, 346, 225, 88, 76, 73, 4608, 292, 9803, 290, 8356, 286, 8958, 8414, 383, 1063, 2229, 2086, 18, 225, 731, 385, 857, 25716, 383, 2699, 8246, 27156, 286, 24860, 18, 203, 203, 4379, 24860, 286, 23142, 16, 458, 3220, 359, 225, 69, 721, 818, 578, 6666, 383, 1952, 5216, 286, 1706, 4365, 16, 9002, 290, 225, 88, 76, 73, 640, 18, 5348, 25647, 18, 731, 385, 10224, 286, 225, 88, 76, 73, 4608, 292, 9198, 325, 2636, 2272, 16, 23836, 18, 731, 9583, 423, 640, 18, 5348, 286, 6938, 325, 2209, 1583, 16, 24238, 16, 517, 12589, 522, 10373, 660, 770, 819, 458, 644, 5996, 290, 9471, 7113, 326, 225, 88, 76, 73, 7400, 292, 38134, 423, 225, 88, 76, 73, 12830, 7297, 383, 640, 18, 5348, 16, 10472, 290, 383, 26176, 16, 8073, 18, 203, 203, 1989, 2391, 346, 7139, 385, 30585, 291, 2355, 23142, 16, 458, 385, 6568, 6715, 721, 818, 578, 292, 225, 88, 76, 73, 3440, 5349, 10956, 16, 290, 14734, 346, 225, 88, 76, 73, 10956, 286, 14196, 16572, 18, 1238, 458, 385, 10224, 286, 17691, 18976, 290, 6568, 279, 7964, 721, 818, 578, 2639, 292, 4053, 16652, 18, 731, 6497, 325, 8414, 291, 14196, 16572, 1535, 2698, 2967, 16, 23142, 18, 203, 203, 1905, 225, 69, 1700, 595, 16, 458, 385, 8356, 286, 225, 88, 76, 73, 5402, 25647, 359, 8289, 721, 818, 578, 2639, 16, 517, 291, 2427, 23688, 458, 385, 7392, 286, 4365, 286, 838, 359, 7964, 286, 225, 88, 76, 73, 1859, 818, 578, 4138, 292, 18906, 16652, 18, 738, 11842, 15795, 1535, 225, 88, 76, 73, 4618, 292, 22163, 18, 731, 385, 857, 2632, 286, 23533, 359, 6715, 721, 818, 578, 292, 225, 88, 76, 73, 5669, 292, 225, 88, 76, 73, 11045, 18, 2519, 345, 595, 458, 652, 10224, 286, 225, 88, 76, 73, 4608, 292, 18976, 290, 385, 225, 88, 76, 73, 5012, 6666, 291, 225, 88, 76, 73, 18906, 16652, 3625, 18, 203, 203, 2091, 2485, 685, 16, 14569, 16, 458, 385, 6413, 359, 225, 69, 40876, 12502, 292, 225, 88, 76, 73, 1063, 2229, 12237, 1663, 292, 225, 88, 76, 73, 12342, 6759, 292, 225, 88, 76, 73, 32725, 21247, 292, 225, 88, 76, 73, 1851, 2198, 431, 1054, 292, 522, 3223, 526, 1310, 291, 225, 88, 76, 73, 4970, 5349, 1154, 225, 88, 76, 73, 1644, 8087, 2446, 18, 203, 203, 48784, 901, 526, 2226, 292, 8414, 291, 225, 88, 76, 73, 11045, 15795, 1535, 458, 385, 1001, 18558, 286, 4365, 286, 838, 359, 7964, 286, 225, 88, 76, 73, 1859, 818, 578, 4138, 292, 18906, 16652, 18, 731, 3220, 291, 442, 4767, 423, 2262, 3143, 16, 21386, 16, 286, 2485, 1188, 16, 20567, 18, 731, 385, 12681, 1859, 818, 578, 4138, 292, 18906, 16652, 346, 225, 88, 76, 73, 4608, 292, 46705, 4138, 325, 2485, 1519, 16, 20567, 16, 290, 385, 26034, 25712, 326, 225, 69, 1361, 1560, 17, 2996, 3301, 291, 20953, 18, 203, 203, 829, 225, 88, 76, 73, 2779, 292, 20968, 16, 458, 22987, 286, 2214, 383, 522, 884, 11082, 286, 11940, 225, 88, 76, 73, 3760, 10901, 292, 225, 88, 76, 73, 3194, 16, 3395 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 16, 290, 3911, 28152, 18, 731, 7089, 225, 88, 76, 73, 3621, 326, 280, 4508, 290, 29491, 8791, 431, 1059, 28152, 18, 409, 1415, 458, 7484, 325, 225, 88, 76, 73, 787, 292, 10132, 20888, 291, 225, 88, 76, 73, 3395, 290, 3911, 28152, 14394, 1293, 13331, 291, 225, 88, 76, 73, 1750, 292, 2608, 3091, 5648, 326, 225, 88, 76, 73, 528, 18, 55, 18, 5349, 18, 203, 203, 19814, 522, 2877, 286, 4365, 291, 2427, 20968, 16, 4138, 16931, 901, 9067, 8026, 286, 225, 88, 76, 73, 2446, 3625, 28994, 225, 88, 76, 73, 9163, 292, 225, 69, 3760, 23703, 18, 2776, 803, 643, 449, 8367, 16, 544, 14639, 9377, 5097, 650, 225, 88, 76, 73, 3508, 292, 49671, 225, 88, 76, 73, 16989, 11950, 16, 18906, 16652, 16, 290, 5460, 38113, 698, 554, 5439, 385, 961, 3285, 1560, 806, 1708, 18, 16931, 901, 385, 541, 15028, 581, 11999, 225, 69, 28391, 3760, 23703, 345, 16989, 11950, 4138, 3988, 361, 18, 332, 749, 4238, 1740, 950, 225, 88, 76, 73, 3223, 292, 27006, 18, 3791, 292, 16931, 901, 526, 1907, 5333, 345, 458, 339, 4792, 286, 1357, 225, 88, 76, 73, 7495, 2267, 16989, 11950, 10956, 291, 17888, 18, 225, 1218, 650, 522, 43927, 16, 4138, 332, 749, 4238, 16, 385, 6568, 16, 16931, 901, 6241, 225, 69, 41849, 1244, 291, 225, 88, 76, 73, 10956, 290, 2406, 11797, 323, 286, 7912, 225, 88, 76, 73, 2278, 292, 27006, 18, 203, 203, 1989, 2923, 1489, 3459, 4138, 332, 749, 4238, 526, 8592, 1560, 806, 1708, 16, 4138, 16931, 901, 385, 6568, 286, 6675, 950, 359, 16989, 11950, 4138, 325, 2427, 1958, 16, 18168, 18, 738, 385, 5699, 4266, 2039, 981, 225, 88, 76, 73, 1851, 2198, 9911, 2391, 1584, 4681, 18, 203, 203, 10571, 2446, 314, 203, 521, 16989, 11950, 10956, 290, 225, 88, 76, 73, 2446, 3625, 4176, 643, 47490, 326, 2107, 2446, 314, 18, 409, 3760, 20756, 718, 1434, 225, 88, 76, 73, 16989, 11950, 10956, 643, 10987, 286, 39411, 290, 2913, 359, 2678, 359, 1634, 225, 88, 76, 73, 11109, 15964, 292, 7113, 326, 573, 544, 643, 4246, 18, 1790, 16, 519, 46891, 42448, 20880, 9144, 291, 12135, 290, 571, 26907, 9412, 25994, 345, 658, 2617, 282, 2603, 4797, 290, 3579, 3118, 698, 225, 69, 4375, 27336, 292, 225, 88, 76, 73, 15756, 1056, 291, 225, 88, 76, 73, 4357, 292, 16566, 1180, 1758, 18, 2519, 345, 595, 27509, 291, 6942, 16, 4959, 3091, 16, 290, 609, 7113, 643, 7485, 34197, 291, 5349, 12954, 16, 290, 357, 385, 7633, 431, 629, 345, 225, 88, 76, 73, 3900, 292, 11734, 6942, 290, 11135, 385, 4246, 326, 279, 22531, 292, 32394, 22314, 754, 225, 88, 76, 73, 12954, 18, 203, 203, 9813, 16931, 901, 385, 2404, 4246, 431, 798, 326, 225, 69, 1648, 1877, 292, 225, 88, 76, 73, 3760, 6384, 345, 644, 3118, 18, 203, 203, 4280, 10521, 39888, 225, 69, 13434, 17948, 287, 808, 345, 3119, 286, 225, 69, 29206, 6077, 325, 225, 88, 76, 73, 7287, 292, 225, 88, 76, 73, 2391, 18, 557, 225, 88, 76, 73, 991, 225, 88, 76, 73, 4138, 9718, 1837, 2315, 1945, 292, 7113, 290, 225, 88, 76, 73, 4778, 292, 225, 88, 76, 73, 4136, 292, 20578, 290, 16510, 291, 225, 88, 76, 73, 20578, 16, 16510, 16, 290, 20845, 5669, 385, 20757, 325, 225, 88, 76, 73, 6085, 292, 225, 88, 76, 73, 16989, 11950, 10956, 18, 203, 203, 2091, 2698, 1583, 16, 16566, 16, 225, 69, 2446, 3721, 385, 5401, 12537, 292, 225, 88, 76, 73, 8312, 292, 2446, 16, 225, 88, 76, 73, 10529, 8312, 292, 2446, 16, 225, 88, 76, 73, 16989, 11950, 4138, 16, 225, 88, 76, 73, 6208, 292, 26766, 16, 225, 88, 76, 73, 6208, 292, 23308, 10281, 16, 225, 88, 76, 73, 14140, 32645, 4138, 16, 290, 225, 88, 76, 73, 6208, 292, 9718, 18, 2682, 409, 2446, 3721, 385, 286, 17422, 290, 16955, 479, 6403, 292, 3760, 290, 286, 1095, 326, 225, 88, 76, 73, 543, 3044, 787, 292, 225, 88, 76, 73, 4223, 1420, 292, 225, 88, 76, 73, 4407, 18, 2776, 5050, 325, 225, 88, 76, 73, 3721, 16, 4138, 16931, 901, 385, 2505, 286, 27060, 479, 522, 9168, 10373, 286, 279, 7398, 6715, 16989, 11950, 10237, 431, 225, 88, 76, 73, 8312, 292, 2446, 18, 203, 203, 829, 2262, 15556, 16, 4138, 16931, 901, 385, 22431, 423, 8414, 346, 225, 88, 76, 73, 2446, 3721, 290, 8356, 286, 225, 88, 76, 73, 5464, 292, 225, 88, 76, 73, 37357, 3625, 18, 409, 1737, 1285, 458, 385, 6568, 225, 69, 9198, 4138, 291, 225, 88, 76, 73, 1695, 292, 225, 88, 76, 73, 5349, 16, 346, 4608, 423, 2382, 1519, 290, 8172, 22953, 286, 339, 16989, 11950, 4138, 18, 203, 203, 9813, 16931, 901, 9783, 225, 8592, 325, 1589, 377, 16, 10754, 16, 458, 385, 857, 16161, 18, 203, 203, 10265, 24715, 290, 2371, 225, 203, 829, 522, 1708, 806, 16, 458, 5044, 291, 26059, 16, 21172, 4404, 16, 827, 458, 3904, 383, 225, 88, 76, 73, 2184, 292, 19531, 16, 325, 2382, 2272, 16, 14186, 18, 731, 385, 11002, 383, 26109, 2090, 14197, 18, 203, 203, 9813, 16931, 901, 385, 225, 69, 34333, 292, 225, 88, 76, 73, 12342, 6759, 292, 225, 88, 76, 73, 32725, 21247, 292, 225, 88, 76, 73, 1851, 2198, 431, 1054, 292, 522, 3223, 526, 1310, 291, 225, 88, 76, 73, 4970, 5349, 1154, 225, 88, 76, 73, 1644, 8087, 2446, 18, 203, 203, 32014, 203, 9813, 16931, 901, 385, 25871, 698, 225, 88, 76, 73, 16989, 11950, 3757, 292, 13412, 291, 8694, 18, 203, 203, 1987, 203, 203, 3257, 2477, 21246, 203, 1758, 7096, 4686, 203, 29146, 5850, 203, 40857, 383, 26109, 2090, 14197, 203, 11871, 2198, 12342, 5029, 7692, 203, 11871, 2198, 5349, 31301, 292, 2107, 2446, 314, 203, 11871, 2198, 5349, 31301, 203, 4387, 4223, 7765, 292, 225, 88, 76, 73, 5706, 1180, 4387, 2446, 203, 36921, 33235, 4138, 292, 225, 88, 76, 73, 1851, 2198, 5349, 203, 6453, 818, 578, 4138, 292, 18906, 16652, 396, 11871, 2198, 5349, 13, 2, 0, 39566, 3977, 11583, 8236, 318, 225, 69, 9412, 3505 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 325, 225, 88, 76, 73, 25124, 94, 700, 9412, 291, 225, 88, 76, 73, 4433, 526, 4321, 292, 3671, 18, 601, 6278, 24709, 382, 290, 318, 2558, 42686, 3059, 7748, 423, 2128, 9252, 11583, 8236, 18, 203, 203, 3591, 568, 203, 7521, 292, 6463, 325, 25124, 94, 700, 9412, 203, 203, 23224, 6463, 291, 25124, 23583, 203, 1744, 587, 325, 225, 88, 76, 73, 25124, 23583, 1180, 56, 46673, 11583, 2, 0, 12919, 11697, 4366, 4985, 396, 3640, 2494, 1025, 16, 14063, 13, 318, 279, 1644, 37881, 18830, 290, 2597, 9298, 18, 731, 504, 652, 225, 88, 76, 73, 6176, 292, 36616, 4339, 1364, 10687, 16, 573, 458, 795, 17, 21608, 345, 602, 346, 609, 6752, 1592, 292, 2217, 6422, 2361, 1495, 18, 1099, 292, 2827, 2079, 16, 522, 1975, 3100, 385, 8192, 383, 1727, 8, 27, 18, 23, 5256, 18, 203, 203, 9035, 969, 290, 2269, 203, 8404, 4985, 385, 3157, 286, 8677, 4366, 4985, 290, 25440, 28462, 291, 34309, 16, 2217, 6422, 16, 325, 2494, 1025, 16, 14063, 18, 731, 5044, 291, 46531, 1535, 458, 385, 1519, 16, 650, 522, 1201, 3230, 286, 34939, 18, 1099, 225, 69, 5467, 458, 2406, 383, 522, 3223, 526, 7433, 2803, 18, 203, 203, 8404, 4985, 526, 2269, 346, 9421, 2483, 346, 225, 69, 3361, 1619, 383, 2217, 6422, 2361, 1495, 18, 2060, 2779, 458, 1427, 225, 69, 1616, 2484, 2597, 3064, 326, 225, 88, 76, 73, 10834, 14986, 4932, 18, 4366, 4985, 385, 225, 69, 2260, 292, 225, 88, 76, 73, 24621, 17, 9872, 69, 7904, 292, 42752, 40702, 42251, 40573, 383, 11147, 2361, 16, 290, 10057, 286, 225, 88, 76, 73, 3344, 292, 225, 69, 631, 34898, 1577, 326, 225, 88, 76, 73, 7904, 291, 5725, 18, 203, 203, 8404, 4985, 2524, 225, 69, 3997, 526, 3658, 291, 9256, 291, 10842, 18, 731, 568, 2406, 383, 225, 69, 1250, 1848, 6730, 3091, 326, 225, 88, 76, 73, 2625, 6463, 345, 25692, 346, 225, 88, 76, 73, 23793, 1803, 29104, 18, 2776, 1376, 325, 225, 88, 76, 73, 23793, 1167, 16, 4366, 4985, 3731, 225, 69, 548, 2038, 346, 225, 69, 864, 20801, 3270, 290, 442, 11524, 522, 4858, 325, 5550, 3354, 18, 4366, 4985, 4415, 286, 2217, 6422, 2361, 1495, 819, 1376, 325, 225, 88, 76, 73, 23793, 1512, 16, 827, 458, 6228, 225, 69, 10294, 291, 9256, 290, 385, 225, 69, 6752, 2260, 423, 10547, 286, 10687, 18, 203, 203, 10449, 203, 203, 8404, 4985, 3989, 1378, 6752, 383, 2217, 6422, 2361, 291, 225, 69, 1734, 1512, 286, 1582, 225, 69, 2639, 3748, 18126, 4163, 1056, 396, 55, 2902, 13, 326, 19218, 10834, 1415, 18, 409, 1512, 385, 8001, 431, 225, 69, 29535, 292, 3815, 2171, 17, 662, 438, 9512, 290, 11643, 7021, 431, 225, 88, 76, 73, 30699, 18, 4366, 4985, 1509, 346, 1378, 6752, 2260, 10993, 3988, 15876, 2154, 1512, 2828, 326, 225, 88, 76, 73, 1750, 292, 225, 88, 76, 73, 1846, 2693, 292, 36616, 18, 1605, 225, 88, 76, 73, 2597, 644, 2313, 2024, 291, 10687, 16, 4366, 4985, 290, 1220, 1761, 423, 225, 88, 76, 73, 1495, 1736, 225, 88, 76, 73, 3559, 286, 1139, 36616, 4339, 291, 279, 2347, 1808, 225, 88, 76, 73, 4725, 18, 203, 203, 8404, 4985, 6497, 6176, 292, 36616, 4339, 326, 543, 720, 5742, 806, 359, 225, 88, 76, 73, 1250, 5789, 423, 1175, 45632, 16, 1318, 709, 724, 602, 291, 932, 16, 286, 1175, 41383, 2372, 291, 8169, 290, 1175, 22, 18, 7298, 5256, 431, 2987, 18, 4837, 522, 4749, 16, 225, 88, 76, 73, 1250, 5789, 1040, 602, 18, 4366, 4985, 2154, 1712, 326, 3082, 290, 16634, 36616, 11, 5550, 3354, 16, 1541, 4184, 431, 225, 88, 76, 73, 2155, 359, 689, 89, 33803, 1556, 731, 13079, 11061, 2221, 290, 7208, 1584, 1191, 1502, 286, 3613, 225, 88, 76, 73, 1250, 526, 548, 2038, 18, 4366, 4985, 504, 8791, 225, 69, 5299, 14764, 3834, 346, 581, 3498, 717, 596, 1891, 3274, 286, 950, 290, 1220, 14764, 9230, 18, 203, 203, 8008, 49, 7337, 4184, 4366, 4985, 526, 4749, 2296, 291, 225, 69, 7823, 292, 1220, 23720, 30, 689, 24705, 3419, 502, 519, 910, 548, 431, 4446, 624, 43640, 14148, 290, 431, 10384, 25063, 31, 4851, 7403, 4246, 326, 7979, 277, 8129, 31, 10059, 25448, 39346, 1133, 1866, 87, 5624, 11, 290, 1866, 22948, 1052, 48464, 41454, 2024, 359, 3668, 3176, 286, 723, 2611, 8533, 1646, 1556, 203, 203, 829, 10584, 16, 4366, 4985, 385, 6413, 359, 225, 69, 16076, 292, 225, 88, 76, 73, 1644, 36021, 3693, 18, 557, 7248, 16, 458, 2524, 225, 88, 76, 73, 8541, 21126, 4385, 292, 225, 88, 76, 73, 1644, 5029, 292, 25485, 18, 203, 829, 4988, 16, 458, 385, 3249, 225, 69, 3677, 1644, 3729, 13826, 431, 12733, 18, 1666, 1150, 602, 458, 385, 3249, 554, 292, 3146, 526, 2399, 3531, 29339, 5454, 779, 25780, 431, 3726, 18, 9065, 18, 731, 504, 568, 652, 225, 69, 9772, 8863, 290, 14018, 383, 225, 88, 76, 73, 2107, 12117, 11654, 18, 203, 203, 829, 2209, 1920, 16, 5857, 4366, 4985, 385, 6081, 225, 69, 6176, 3677, 7947, 286, 3953, 1078, 1558, 11634, 4385, 431, 3677, 7947, 286, 3953, 18, 203, 203, 10220, 969, 203, 8404, 4985, 1112, 522, 3564, 16, 4648, 16, 1027, 458, 385, 225, 69, 5012, 383, 2217, 6422, 2361, 1495, 290, 780, 385, 8327, 35104, 3049, 18, 1108, 427, 652, 4308, 5699, 2176, 5727, 290, 427, 1220, 1528, 18, 4366, 4985, 526, 1975, 3100, 385, 1175, 27, 18, 23, 5256, 16, 359, 292, 2827, 2079, 18, 203, 203, 8404, 4985, 504, 279, 1418, 291, 7031, 225, 88, 76, 73, 1627, 292, 2528, 16, 3839, 14401, 290, 8635, 2528, 18, 557, 7196, 16, 4366, 4985, 290, 522, 3564, 16, 1509, 346, 522, 932, 3372, 16, 2212, 319, 446, 290, 522, 3564, 27983, 16, 5141, 279, 4885, 2057, 1204, 34733, 5029, 18, 5794, 292, 225, 88, 76, 73, 4366, 82, 1426, 371, 568, 2912, 291, 225, 88, 76, 73, 1491, 34733, 16, 11147, 16, 1504, 18, 731, 14587, 25152, 3341, 8243, 3586, 290, 409, 23635, 22334, 7174, 290, 16551, 10002, 325, 225, 88, 76, 73, 5330, 292, 225, 88, 76, 73, 36616, 5671, 18 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 203, 203, 3591, 568, 203, 5174, 292, 7218, 431, 1975, 3100, 203, 5174, 292, 42752, 40702, 42251, 40573, 9127, 203, 25152, 3341, 8243, 3586, 203, 203, 1987, 203, 203, 9758, 2576, 203, 203, 3257, 2477, 4327, 4366, 4985, 526, 3131, 14016, 203, 203, 30275, 4686, 203, 4387, 5256, 24453, 203, 4387, 2216, 6715, 14604, 203, 4387, 2219, 4024, 1947, 203, 4387, 32233, 1947, 203, 10106, 8397, 291, 2597, 203, 6004, 717, 203, 10106, 8397, 423, 2217, 6422, 203, 12175, 6422, 2361, 1495, 7692, 203, 5013, 423, 34733, 16, 2217, 6422, 203, 5013, 423, 34309, 16, 2217, 6422, 203, 38683, 292, 225, 88, 76, 73, 1644, 36021, 3693, 203, 10080, 440, 1131, 423, 2217, 6422, 2, 0, 521, 1450, 1942, 93, 5841, 300, 292, 9411, 14981, 16, 326, 28484, 292, 3246, 71, 845, 16, 34287, 282, 291, 225, 69, 6654, 1133, 16889, 290, 11232, 318, 225, 69, 1958, 5601, 1184, 581, 2151, 4260, 3055, 431, 13769, 6642, 16, 225, 88, 76, 73, 7754, 292, 26059, 12034, 587, 291, 1063, 3994, 290, 225, 88, 76, 73, 795, 17, 14806, 292, 225, 88, 76, 73, 3440, 13886, 3536, 291, 3146, 18, 5841, 300, 318, 279, 28748, 15229, 292, 2769, 311, 16, 290, 225, 88, 76, 73, 1184, 20604, 326, 225, 69, 689, 11282, 292, 14439, 6, 1133, 3042, 290, 1627, 290, 326, 1627, 10347, 342, 292, 1952, 4570, 39434, 16, 1315, 42089, 16, 290, 568, 689, 84, 356, 4234, 16, 7184, 16, 12504, 388, 5096, 17, 19584, 782, 43142, 290, 29816, 3207, 1556, 409, 1184, 2569, 225, 88, 76, 73, 1139, 292, 225, 69, 10692, 1133, 16889, 290, 11232, 290, 318, 225, 69, 3918, 286, 20406, 431, 6938, 8953, 2212, 21359, 4160, 21359, 526, 1118, 326, 1627, 10761, 292, 6556, 11410, 413, 291, 9318, 4254, 30873, 18, 6642, 20604, 345, 17342, 4328, 225, 88, 76, 73, 8016, 292, 225, 69, 5008, 4967, 7704, 573, 783, 449, 4176, 24566, 73, 2971, 23874, 292, 28222, 16, 573, 6642, 21771, 286, 339, 225, 69, 2203, 17, 37623, 1054, 18, 203, 203, 34368, 203, 521, 1958, 5601, 2695, 318, 3285, 554, 292, 6642, 11, 910, 17, 29784, 14433, 16, 874, 1155, 357, 385, 3055, 811, 22814, 17642, 3189, 290, 318, 15977, 15816, 2298, 18, 3791, 292, 225, 88, 76, 73, 2536, 9626, 292, 409, 1450, 1942, 93, 5841, 300, 643, 14597, 431, 1374, 292, 225, 69, 31837, 28365, 34477, 431, 522, 1629, 292, 2151, 18, 2212, 21359, 11324, 286, 225, 88, 76, 73, 1184, 431, 16634, 522, 6269, 291, 409, 1450, 1942, 93, 5841, 300, 16, 374, 9822, 16, 290, 10706, 4367, 291, 225, 88, 76, 73, 1450, 1942, 292, 225, 88, 76, 73, 17269, 18, 13100, 522, 2877, 286, 3023, 291, 1958, 7764, 16, 6642, 3179, 225, 69, 7128, 292, 522, 6269, 290, 11324, 286, 21359, 291, 409, 1450, 1942, 93, 5841, 300, 8621, 1997, 1450, 1942, 93, 431, 3045, 18, 21359, 526, 48738, 23805, 286, 19954, 357, 4367, 291, 225, 88, 76, 73, 13057, 292, 225, 88, 76, 73, 17269, 31, 292, 374, 1050, 49803, 13057, 16, 1195, 1886, 291, 225, 88, 76, 73, 1450, 1942, 292, 522, 2232, 1251, 31, 290, 292, 225, 88, 76, 73, 13057, 292, 37729, 1195, 1886, 291, 19779, 290, 9365, 9515, 326, 3246, 71, 845, 319, 512, 16, 1666, 3531, 43489, 5841, 300, 292, 9411, 14981, 326, 28484, 292, 3246, 71, 845, 16, 2971, 16, 225, 69, 6116, 8461, 274, 1498, 3957, 1997, 21146, 290, 1997, 1911, 2572, 3773, 2167, 11049, 16, 2674, 18, 396, 19225, 16, 1958, 7764, 859, 409, 1450, 1942, 93, 5841, 300, 504, 652, 15506, 359, 225, 69, 21780, 3481, 326, 2212, 44466, 16, 225, 88, 76, 73, 3440, 21272, 286, 225, 88, 76, 73, 1851, 2198, 14928, 16, 290, 1579, 19411, 292, 5442, 17829, 4160, 6556, 6132, 18, 203, 203, 38, 16682, 1118, 326, 13085, 25707, 21348, 291, 6556, 6403, 203, 829, 225, 88, 76, 73, 1450, 1942, 93, 5841, 300, 290, 609, 19411, 16, 6642, 21771, 798, 24698, 291, 225, 88, 76, 73, 5504, 290, 1063, 6328, 21465, 359, 17517, 25707, 21348, 291, 654, 6556, 6403, 16, 290, 4477, 19951, 225, 88, 76, 73, 3222, 8888, 22453, 403, 73, 2186, 293, 573, 5350, 1249, 1627, 4260, 291, 629, 6556, 6403, 30, 203, 30089, 6951, 345, 6947, 6600, 385, 225, 69, 2190, 40974, 13317, 290, 225, 88, 76, 73, 22446, 905, 339, 21771, 1249, 1802, 1253, 18, 6321, 16, 225, 88, 76, 73, 40974, 22446, 643, 449, 4646, 2151, 4257, 326, 1063, 20927, 13333, 16, 596, 6951, 345, 225, 88, 76, 73, 5504, 20927, 40974, 644, 652, 19786, 754, 1895, 16, 359, 225, 88, 76, 73, 8299, 6199, 18, 35605, 16, 6642, 34609, 345, 225, 88, 76, 73, 543, 14236, 5504, 20927, 6027, 292, 4967, 2151, 643, 877, 1928, 17, 71, 8370, 438, 22446, 955, 359, 2398, 1018, 262, 92, 272, 16, 225, 69, 41045, 596, 3269, 225, 88, 76, 73, 17695, 87, 6132, 286, 8715, 291, 225, 517, 979, 449, 500, 303, 654, 1671, 292, 8715, 18, 1078, 6027, 292, 2618, 22446, 16, 6642, 4718, 40551, 600, 317, 425, 3404, 284, 291, 225, 88, 76, 73, 3949, 292, 8732, 596, 32662, 1721, 5981, 225, 88, 76, 73, 11457, 396, 9288, 8732, 16, 781, 30395, 579, 16, 41005, 579, 16, 290, 332, 2121, 425, 2336, 13, 286, 8715, 225, 88, 76, 73, 1627, 8463, 388, 2245, 2371, 18, 6642, 568, 1013, 225, 88, 76, 73, 1953, 292, 32998, 812, 526, 34448, 10843, 291, 225, 359, 279, 1953, 292, 225, 69, 2618, 4967, 2151, 47260, 709, 6556, 1420, 18, 203, 30089, 21771, 225, 88, 76, 73, 2407, 545, 292, 225, 88, 76, 73, 316, 6362, 291, 225, 88, 76, 73, 225, 286, 1118, 10347, 342, 292, 479, 292, 225, 88, 76, 73, 689, 804, 2658, 2995, 952, 4967, 32249, 1541, 36590, 23446, 225, 88, 76, 73, 689, 47422, 6, 396, 8166, 45926, 13, 1248, 18, 731, 5655, 7112, 225, 88, 76, 73, 689, 804, 2658, 6, 359, 633, 15628, 596, 643, 5424, 449, 13333, 16, 955, 359, 3833, 981, 522, 10181, 16, 290, 449, 2454, 717, 346, 5475, 30786, 7639, 16, 359, 225, 88, 76, 73, 8888, 285, 555, 34609, 18, 21461, 16, 458, 13941, 16, 357, 318, 2203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 526, 8414, 286, 8259, 16, 449, 563, 526, 18, 203, 30089, 15506, 225, 88, 76, 73, 14192, 2450, 292, 2151, 291, 225, 359, 8659, 770, 286, 10761, 292, 225, 88, 76, 73, 1361, 2760, 292, 225, 88, 76, 73, 5841, 12237, 820, 1641, 344, 318, 16, 225, 88, 76, 73, 1172, 2176, 5464, 820, 8505, 24618, 609, 717, 18, 731, 2314, 15506, 3833, 526, 7566, 291, 2836, 2836, 290, 225, 286, 5942, 708, 286, 787, 689, 40593, 735, 8975, 6, 2655, 720, 3287, 2960, 291, 7247, 346, 571, 8166, 45926, 18, 225, 203, 30089, 21771, 225, 286, 1118, 225, 88, 76, 73, 787, 292, 6878, 8975, 2655, 720, 4967, 8975, 16, 290, 9962, 524, 345, 1895, 526, 7566, 291, 803, 14696, 643, 3055, 286, 290, 5395, 286, 10012, 16, 449, 286, 4967, 10768, 18, 6642, 21771, 1866, 87, 24008, 292, 43766, 40872, 359, 9854, 479, 1627, 10012, 345, 1013, 25707, 4260, 286, 795, 19782, 3506, 3203, 291, 225, 88, 76, 73, 1565, 292, 17342, 16, 1315, 1059, 291, 2214, 290, 9318, 18, 203, 203, 3591, 568, 203, 34604, 6642, 203, 37, 6662, 698, 225, 88, 76, 73, 11910, 292, 3146, 203, 19584, 9132, 325, 32249, 290, 10347, 342, 203, 203, 1987, 203, 203, 3257, 2477, 203, 521, 43489, 5841, 300, 292, 9411, 14981, 396, 1758, 12125, 31671, 13, 396, 19336, 282, 2382, 1136, 16, 3384, 16, 325, 3549, 9405, 13, 203, 13975, 292, 1184, 203, 34604, 6642, 16, 6476, 12722, 1276, 16, 1858, 49979, 15892, 9557, 18, 2336, 3033, 18, 1633, 19, 9557, 35, 333, 33, 33915, 17, 51, 93, 20, 76, 2142, 41, 79, 39, 10, 24864, 320, 33, 7372, 18899, 10, 17613, 33, 75, 967, 67, 17730, 20032, 67, 87, 409, 854, 1942, 93, 2769, 300, 292, 32249, 326, 3028, 292, 28222, 30, 7544, 291, 225, 69, 4975, 1133, 5160, 290, 4304, 3037, 596, 16, 291, 479, 11454, 16725, 16, 1552, 286, 225, 88, 76, 73, 2720, 4368, 292, 8572, 16, 396, 287, 225, 88, 76, 73, 1873, 292, 519, 23253, 13, 803, 16, 396, 40906, 609, 24698, 13, 292, 4021, 8216, 65, 396, 18107, 1313, 1495, 5362, 16, 5755, 13, 6643, 5210, 25, 6036, 8285, 21, 16, 17890, 3819, 28, 5210, 25, 6036, 8285, 27, 396, 31681, 325, 3549, 9405, 16, 2382, 3436, 16, 3384, 13, 203, 203, 2455, 5601, 2929, 203, 2419, 88, 76, 17, 4577, 4570, 11783, 203, 6355, 2929, 581, 225, 88, 76, 73, 1851, 2198, 203, 6355, 292, 9214, 291, 225, 88, 76, 73, 1851, 2198, 203, 34654, 1639, 4404, 3354, 203, 44526, 342, 292, 3042, 290, 1627, 291, 225, 88, 76, 73, 1851, 2198, 2, 0, 21290, 2871, 628, 19627, 423, 225, 3769, 3098, 873, 388, 6115, 2871, 9385, 396, 74, 5534, 622, 1139, 31, 27731, 568, 5537, 7850, 532, 359, 6115, 466, 12446, 16, 6115, 2871, 2815, 388, 6115, 466, 11, 2815, 16, 318, 225, 69, 2078, 5316, 1172, 1565, 18, 601, 783, 3188, 286, 30, 203, 203, 12921, 471, 6115, 2871, 628, 396, 30504, 1180, 29340, 873, 8670, 7733, 6666, 203, 40, 31322, 6115, 2871, 28919, 396, 3640, 6890, 873, 23803, 334, 3166, 1257, 28392, 2946, 225, 203, 30193, 285, 732, 6115, 2871, 2815, 396, 3640, 10307, 873, 23803, 334, 3166, 2441, 15704, 34007, 203, 45, 22131, 6115, 2871, 9385, 396, 3640, 14933, 873, 8670, 7944, 225, 203, 45650, 334, 24939, 6115, 466, 12446, 396, 46085, 1180, 24662, 873, 25140, 9696, 203, 19797, 3545, 6115, 2871, 2815, 396, 2419, 13041, 1180, 1758, 5805, 873, 5316, 30703, 203, 49, 35293, 6115, 2871, 628, 396, 20404, 13, 696, 1579, 717, 203, 50, 719, 26901, 8682, 6115, 2871, 28919, 396, 3640, 6336, 873, 5316, 38620, 2946, 203, 30033, 5354, 6115, 2871, 628, 396, 2419, 6188, 1180, 1758, 7298, 873, 225, 69, 2260, 292, 225, 88, 76, 73, 2050, 22644, 472, 3968, 203, 30033, 335, 328, 6115, 2871, 628, 17, 6123, 1493, 2788, 396, 1758, 6755, 1180, 49312, 873, 225, 69, 5316, 3984, 1010, 290, 31578, 203, 30033, 335, 328, 6115, 466, 12446, 396, 49859, 1180, 37801, 13, 5316, 3984, 1010, 203, 30033, 335, 328, 6115, 2871, 628, 17, 47, 1239, 2788, 396, 2419, 12886, 1180, 1758, 8285, 873, 5316, 4223, 4467, 290, 3984, 1010, 203, 20765, 4944, 6115, 2871, 9385, 396, 1758, 12125, 1180, 26875, 873, 13883, 13319, 6693, 203, 49520, 18802, 6115, 2871, 628, 396, 45229, 13, 396, 3640, 13811, 873, 2677, 8670, 2414, 290, 1962, 13291, 203, 49520, 18802, 6115, 2871, 628, 396, 12607, 80, 1258, 13, 396, 26875, 1180, 13398, 873, 5316, 25226, 290, 11476, 6474, 203, 58, 93, 8201, 13563, 6115, 2871, 2815, 396, 3640, 10201, 873, 23803, 334, 3166, 470, 43716, 203, 203, 3591, 568, 203, 21290, 466, 12446, 1898, 1493, 2518, 17, 6553, 34346, 16, 4927, 292, 1598, 45429, 5316, 19364, 7392, 291, 17888, 423, 225, 69, 5897, 24963, 48292, 16, 21998, 291, 16382, 326, 225, 88, 76, 73, 3911, 556, 5876, 8405, 19148, 203, 21290, 2871, 628, 17, 37, 1400, 15213, 396, 20404, 873, 1579, 717, 203, 5210, 5831, 6115, 10769, 628, 16, 279, 37654, 203, 203, 18773, 17, 11345, 35838, 2, 0, 13770, 22136, 91, 1428, 338, 16, 2553, 7957, 8107, 954, 1773, 385, 279, 5070, 6477, 1250, 18, 203, 203, 6355, 203, 13770, 22136, 91, 1428, 338, 16, 2553, 7957, 8107, 954, 1773, 396, 49, 9031, 13, 385, 5141, 291, 28675, 291, 3023, 431, 9742, 4831, 37541, 16, 7300, 2553, 22136, 91, 1428, 338, 290, 24906, 2553, 7957, 8107, 18, 557, 28379, 357, 2483, 5237, 8521, 286, 949, 3194, 24367, 286, 225, 88, 76, 73, 3610, 811, 4013, 286, 225, 88, 76, 73, 5425, 292, 13294, 18, 557, 25272, 16, 357, 19604, 357, 11703, 286, 9799, 18, 203, 203, 49, 9031, 2387, 527, 225, 69, 9191, 21854, 1675, 3251, 16, 644, 225, 69, 1877, 29370, 291, 4207, 11647, 19744, 290, 644, 13844, 346, 20947, 3432, 84, 290, 10022, 81, 4125, 30659, 18, 557, 13853, 16, 351, 9031, 2154, 225, 69, 29896, 291, 11316, 12403, 11081, 7386, 729, 3207, 291, 6511, 346, 225, 88, 76, 73, 18254, 3011, 1811, 807, 4108, 18, 1563, 203, 829, 1589, 8169, 16, 351, 9031, 385, 3168, 286, 21599, 26652, 4108, 18, 203, 203, 1987, 203, 203, 1758, 4946, 9011, 291, 3994, 203, 22552 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]